Занимайтесь аэробными тренировками. Участвуйте в командном спорте. Попробуйте заняться новыми видами физической нагрузки. Проводите по 20 минут в день на открытом воздухе. Займитесь йогой. Проводите тренировки в середине дня.

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When you exercise, you increase blood flow, oxygen levels, and energy to all parts of your body—including the brain—which means you will be more alert. Researchers have also found that regular aerobic exercise such as walking, running, jogging, and riding a bike can reverse cognitive decline. If you watch college or professional athletes play sports, you can observe their laser focus and intense concentration. Although you are probably not at that skill level, you can still benefit from the improved reflexes and better concentration that result from participating in team sports.  Team sports such as baseball, basketball, tennis, soccer, and football are an excellent way to be more alert because you have to pay attention to where your teammates and opposing team members are, where the ball is currently located, and where the ball is headed. If you are looking for a less serious game, consider trying kickball or dodgeball. Try a type of exercise that is new to you and involves more complex movements such as rock climbing, gymnastics, martial arts, pilates, skating, or fencing. The act of having to learn how to do something different and perform the new maneuvers will help strengthen your brain and boost your memory power, which should make you more alert. Spending 20 minutes a day outside will help you feel more energized and alert.  Go for a walk or jog in the park. Conduct your workout routine outside in your backyard or neighborhood. Head to the woods or hiking trails on the weekend. Yoga can help tone your body and relieve your anxiety, but it also improves your focus and concentration. Try a yoga routine when you want to feel more alert. Research suggests that a mid-afternoon workout can help you feel more alert and energetic than taking a nap.


Занимайтесь делами. Станьте лучшим в том, что вы делаете. Усердно трудитесь. Помогайте другим часто и искренне. Правильно показывайте свои достоинства. Отстаивайте свои убеждения.

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The most basic thing you should do to impress people? Do something. Anything. Getting up off the couch is the most basic step. This is something that is really hard for people, and when they see you going to the gym, taking your girlfriend on exciting weekend dates, and traveling every summer, they'll be impressed. What's even better is if you pick up new skills, either for fun or for work. Whatever you do to get yourself up and actively living your life, get really good at that thing. Practice. Become a pro. This is incredibly impressive to people, even if your skill or passion is a bit niche. Of course, most people think they're working hard. If you're one of those, work harder. If you're of the opinion that you should get everything you want without really working hard at all, then we need to talk because that is a terrible way to go through life and it will not make people very impressed with you. People like someone with a strong work ethic. It makes you look more capable, even when you're not. Someone who is generous is also impressive to most people. Find ways to help others, especially by doing things like volunteering. You should also clearly be offering your help for the sake of helping, not for personal gain. This means helping even when you think no one is paying attention. Believe us, it'll come back around. If you want to impress someone with a trait you are proud of, you need to do it in a productive way. You don't want to seem like that mid-life crisis guy that thinks he's impressing people but really just gets pitied.  Show off your wealth. If you want to show off how much money you have, don't do it by buying a bunch of stuff you don't need. Instead, give money to charity or bunch lunch for the homeless guy outside your building every day. Show off your strength. If you want to show off how strong or manly you are, do it by protecting those that can't protect themselves. Show off your intelligence. If you want to show off how smart you are, do it by offering to help people with assignments,...


Занимайтесь другими делами, чтобы отвлекаться от игр. Направьте энергию в реальные игры. Занимайтесь  РИЖД.  Читайте качественную художественную литературу Сосредоточьтесь на общественной жизни. Присоединитесь к игровому сообществу в сети.

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As soon as you start to feel the itch, look for something that you can do right away to combat your craving. You might go out for a leisurely walk outdoors, lift weights, take up painting, put on one of your favorite albums, or help out with chores around the house. Anything you can do to distract yourself from your overwhelming desire to play will make a difference.  Let yourself get absorbed in the world around you the way you would a good game. After all, reality is the most impressive game there is, with fully interactive environments, unlimited opportunities for exploration, endless dialogue options, and the most lifelike graphics engine to date.  As you explore your interest in other pursuits, you’ll likely discover that your urge to play video games gets weaker and weaker. Do your best to be present with whatever you decide to do. It won’t do much good if you’re just thinking about gaming the whole time. Rather than sinking countless hours into becoming a joystick all-star, get your friends together and organize a game of football, baseball, or soccer. While real games and sports tend to be much more difficult to master than their virtual counterparts, they're also frequently more rewarding, as they provide a convenient outlet for social interaction, build character, and promote positive values like fairness, determination, and resilience.  Many of the online games that people waste so much time on are based on real games that you can play almost anywhere, like billiards, golf, darts, bowling, and poker. If you have a knack for a certain game or sport, you might even consider trying out for a team and taking your talents to the next level. LARPing, or “Live Action Role Playing,” is a type of role playing game where real people portray fictional characters, freely acting out quests, battles, and other exciting situations. If fantasy RPGs and action-adventure titles are your drug of choice, pledging your sword to a LARPing community can be a good way to indulge in your love of all things fantasy while...


Занимайтесь интенсивными кардио-тренировками 4-5 раз в неделю. Тренируйтесь хотя бы по 30 минут пять дней в неделю. Выполняйте приседания. Выполняйте выпады. Выполняйте подъем бедер. Включите в свои тренировки мостик. Выполняйте приседания плие.

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High intensity exercises or HIIT is an exercise that combined both moderate and high intensity cardio activities that can torch calories and help burn body fat.  Fitness professionals have been prompting HIIT workouts to help those who want to get rid of excess body fat. Although it does not specifically target your hips, it can help reduce your overall body fat. HIIT workouts are typically shorter in length and combine short bouts of both very high intensity activities and more moderate intensity activities. They are great in combination with other cardio and strength training. You cannot reduce hip fat without reducing overall body fat. You also cannot spot correct using only toning exercises or strength training.  Including regular cardio is an important component to help you meet your end goal.  Health professionals recommend doing 150 minutes of moderate intensity exercises each week. This can include walking/jogging, cycling, swimming or dancing. If you want to experience a quicker reduction in your hips, aim to workout for 1 hour 5 to 6 days per week or up to 300 minutes weekly.  Include cardio exercises that are known to slim and tone your thighs. Activities like running/jogging, using the stair master or cycling are great to help burn calories and tone your legs. This popular exercise works your hips, butt, thighs and stomach and will help to build lean muscle. Developing muscles in those areas, combined with overall fat loss, can help with toning (showing lean muscle definition).  Start with your feet hip width apart. Place your hands in prayer position in the middle of your chest. While putting your weight into your heels sit down like you are trying to sit in a chair. Push your buttocks out behind you and go down as far as you can or until your thighs are almost parallel to the floor. Pause when your thighs are parallel to the ground. Slowly rise back up to your starting position. Repeat 10 to 20 times or as necessary. In this exercise, you will step forward with 1 foot and allow your knees to...


Занимайтесь разминкой. Работа над динамикой. Работайте над маневренностью. Правильно произносите гласные. Занимайтесь с гаммами.

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Singing is like exercise: you should get nice and warm beforehand to avoid injury. Sing in your middle range, then low range, then high range, and back to the middle. Relax, then try again carefully. If you feel your voice begin to strain, stop and give yourself some time to rest. Be kind to your voice. After all, it’s your ticket to beautiful singing. If your heart has ever beat a little faster when a song transitions from a soft melody to a loud, emotional chorus, you probably understand the power of dynamics. The more you practice, the louder and softer you'll be able to sing healthily. Start singing a comfortable pitch and then crescendo to loud then decrescendo to soft. When you start out, you will probably only be able to sing from mp (mezzo piano or moderately quiet) to mf (mezzo forte or moderately loud), but your range will increase with practice. Practice the lip trill Celine Dion uses, which you can see here: https://www.youtube.com/watch?v=1NFz2Ff6ZlM. Sing from do to so, back to do quickly back and forth, trying to hit all of the notes. Do this in increments of half steps on different syllables. This “voice stretching” makes for a more flexible voice. If you need help staying on pitch, use an app like SingTrue. Practice all of your vowels at every pitch (high, low, and in between). There are very few pure vowels in English. Instead, you will normally encounter something called diphthongs, a weird-sounding word that simply means two or more vowel sounds joined together. Some pure vowels to practice are: AH as in "father", EE as in "eat", IH as in "pin", EH as in "pet", OO as in "food", UH as in "nut", EU as in "could", OH as in "home". Practice these often, especially if pitch gives you some trouble. Most coaches will recommend 20-30 minutes a day when starting out, as practicing scales will also strengthen the muscles used for singing. Buff voice muscles will give you better control. To practice scales, identify your range (tenor, baritone, alto, soprano, etc.) and know how to find the notes that...


Занимайтесь силовыми тренировками, чтобы нарастить силу мышц ног.

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Strengthening your leg muscles can improve your jumping abilities. Weight exercises that target your leg muscles will help you improve your vertical leap.  Do weight training two to three times per week.


Занимайтесь силовыми тренировками. Выполняйте упражнения для сердечно-сосудистой системы. Больше ходите пешком.

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To help maintain your muscle mass while in a caloric deficit, consider taking up weight training.  When in a caloric deficit, your body will burn its reserves for energy both fat as well as muscle. Ideally you want to burn fat, not muscle. Including regular strength training can help minimize the loss of lean muscle mass.  Health experts recommend including at least one to two days of strength training. Ensure that you work each major muscle group when you're exercising. Try lifting weights or using weight machines, doing yoga or pilates, or using isometric exercises to help maintain or build lean muscle mass. Cardiovascular exercise is good for overall health. However, it also helps your body burn calories and fuel weight loss.  Regular cardiovascular or aerobic exercise has been associated with a variety of health benefits in addition to weight loss. It has been shown to help improve mood, decrease your risk for heart disease, stroke, diabetes and high blood pressure, helps improve circulation, and improves your energy.  Cardio is also the main form of exercise that will burn calories and help support weight loss.  The combination of a diet and physical activity is the best for weight loss.  Include 5 days of cardio for at least 30 minutes. This will help you meet the minimum guideline set of adults in the US.  Include exercises like jogging, fast walking, dancing, using the elliptical, or swimming. In addition to strength training and cardio exercises, also try to just move more or take more steps in the day. Studies have shown that lifestyle activities can also help support weight loss.  Lifestyle activities are those that you do on a normal day. These could be walking to and from destinations, taking the stairs, vacuuming the floor or mowing the lawn. Lifestyle activities burn small amounts of calories; however, if you're moving more all day long, you can make a significant impact on your weight. Try to move or walk more throughout your day. Take a walk break at lunch, take the stairs instead of the...


Занимайтесь спортом по 30 минут в день, чтобы улучшить пищеварение. Гуляйте после еды 10–15 минут. Не проводите слишком много времени лежа.

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Regular exercise gets your blood pumping, engages your core muscles, and can improve your overall digestive health. Upright aerobic exercises are your best options, so walk, jog, run, or ride your bike daily. Do your best to breathe in through your nose while exercising, even if you're winded. Remember that swallowing air through your mouth can lead to gas and cramping. Regular exercise is important, but a light walk after meals is especially helpful. Walking will help send your meal smoothly on its way down your digestive tract. Hard exercise could make you nauseous, so be sure to stick to an easy pace. While your digestive system still works while you’re lying down, gas passes through your system more easily when you're sitting up and standing. To prevent and relieve gas buildup, avoid lying down after meals. Do your best to lie in a horizontal position only when you go to sleep. Your sleeping position can also affect gas buildup in your digestive system. Try to sleep on your left side. This can improve digestion, reduce acid buildup, and help gas pass more easily through your body.


Занимайтесь спортом, чтобы добиться здорового веса. Постарайтесь снизить уровень стресса. Пройдите иглоукалывание. Попробуйте массаж для улучшения фертильности, чтобы увеличить приток крови. Бросьте курить

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Talk with your doctor about your ideal body mass index (BMI). Since women who are overweight or underweight can have irregular cycles and hormone imbalances, become active throughout the week to meet your BMI. Research has shown that diet, exercise, and weight loss increases AMH levels in overweight women. Research has shown that higher stress levels are related to lowered AMH levels in women with fertility troubles. To increase your AMH levels, try to reduce your stress. Some popular stress-reducing activities include:  Yoga Breathing exercises Progressive muscle relaxation Tai chi Although more research is needed to show how acupuncture can raise AMH levels, acupuncture has long been believed to improve fertility. Choose an acupuncturist who's trained in fertility disorders. If you're planning on having in-vitro fertilization, get acupuncture treatments every week for 3 to 4 months before insemination. Check with your health insurance to determine if acupuncture treatments are covered. To improve the blood flow to your reproductive system, hire a licensed massage therapist to massage your abdomen. You may be able to find a therapist who's trained in Maya abdominal massage. Get massages every week except for when you're menstruating. Regular, or even daily, massages can stimulate your reproductive system. Improved blood flow to your ovaries and uterus can improve your reproductive health. . Researchers are conflicted about whether smoking directly impacts your AMH levels. It is agreed that the chemicals in cigarettes can harm your reproductive system. Talk with your doctor about smoking cessation programs or treatments that can help you quit or at least cut back on the number of cigarettes you smoke. Look into local support groups. You may also find a support group that's focused on improving fertility.


Занимайтесь там, где ничто не отвлекает вас. Занимайтесь каждый день. Изучите логику и ознакомьтесь с методами решения задач. Решайте задачи поэтапно. Внимательно присмотритесь к неправильному ответу. Проверяйте ответ.

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If you're not good at math yet, you need to make sure you're studying in an environment that allows for concentration. Before you sit down to practice, find a place free of outside stimuli that can cause a distraction.  Find an area where there is not a lot of noise or commotion. A quiet coffee shop could work, or a desk in your bedroom. Minimize distractions in front of you. Disconnect from the internet and put away your phone. If you like music while studying, go for instrumental music. Music with lyrics, or music that's very loud, can be distracting when you're studying. There's no real secret to becoming good at mathematics. It all comes down to dedication. If you want to improve your math score, hard work is key. You will have to practice every day until you start to understand the underlying concepts behind math.  Stick to a schedule. See where you can fit in some study time every day. Maybe you usually have some time in the early evenings. You could plan to study math from 6 to 7 every night after dinner. Try not to study for hours and hours straight. This may create stress. Study for an hour or so each night. Math is sequential. Many people feel they have to memorize concepts and formulas or map out the answer in their head before they begin. This is not productive. Instead, try to understand the concepts behind math. If you see how and why an equation works, you'll be able to remember it more easily in a pinch.  Math theory may seem complicated, but with a little hard work, you can begin to figure it out. In math classes, do not hesitate to ask why. Why does the Pythagorean Theorem work? How does the quadratic equation work on a logical level? Understanding the underlying concepts is far more productive than simple memorization. If you understand something in depth, you'll have an easier time working with it. You'll be better equipped to check your answer if you understand why an equation makes sense. Doing math, you want to see how to discover an answer. Instead of pre-planning how you'll figure out...


Занимайтесь физическими упражнениями Вперед к приключениям! Пожертвуйте вещи местной благотворительной организации. Проведите время в местном приюте для животных. Спросите друга или члена семьи, нужна ли им помощь с чем-нибудь.

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. A great way to cure boredom is to do some exercise. You'll get your endorphins going, which in turn will help you feel better and will make your body happy. Run, bicycle, take a walk, investigate the town or city you live in, yoga, jump rope, hula hoop. Use this time to investigate the town or city you live in. You'll get exercise, fight your boredom, and maybe find out some secret spots. Get your car, your bus pass, or your bike and head out to your city or town. Take a bus somewhere you might not normally go, bike to that street that has all the wealthy houses, find a secret park. . Especially if you've used your time to go through your house and get rid of things you don't need, you can now donate these to a food bank; things like clothes you don't need (but that are in good repair, not stained or ripped), or canned food. You can also donate your time to a food bank, helping to restock and or to serve food if they do that. It's a good way to help make a difference and to use the time that might otherwise be spent doing nothing. Help care for the animals, walk the dogs and keep them clean. Animal shelters often need volunteers to help out and it will be a great way to play with animals (especially if you don't have any) and you'll be doing something useful. You don't only need to help strangers, you can help out people that you know. Offer to help them garden, or clean their house. This will put your spare time to good use, give you somebody to hang out with, and you'll be doing something nice for someone else. Not a bad way to cure your boredom.


Занимайтесь физическими упражнениями. Слушайте заряжающую энергией музыку. Обдавайтесь водой. Гуляйте. Эффективнее работайте на протяжении дня.

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Getting at least a 30 minute workout a day, five hours before bed, will increase your chances of sleeping better at night.  Expending energy breeds energy. Exercise boosts your energy-producing mitochondria in your cells, fuels your circulation of vital oxygen, and releases neurotransmitters and the feel-good endorphins responsible for the “runners’ high.”  Short bursts of activity throughout the day can help you manage the fatigue that might set in while you are at work or school. Take the stairs instead of the elevator. Walk to school instead of taking the bus. Get up and walk around the office for a minute every 30 minutes. Dance around to music while you unload the dishwasher or put on music in your office, if allowed. Having a quick shower in the middle of the day or even just going to the bathroom to splash some water on your face can do wonders to wake yourself up. Even for a brief spell, taking a quick break to get some sun and fresh air can invigorate you enough to get through the rest of the day. If you find that your insomnia is affecting your work habits, try cutting out distractions at work so that you can really focus when you have the energy to do so. That includes self-distracting behaviours such as checking Facebook.  Work with a clear goal in mind. Whether you’re trying to write an essay for school or prepare a presentation at work, having a focus and smart goals will then help you feel energized when achieve your goal. Have a task list and avoid straying from it. Do the more mentally taxing work when you’re sharp and keep the menial tasks for when you’re more tired. You can still be productive filing or writing emails when you’re worn down. Work standing up, if possible. It helps keep you awake and burns calories.


Занимайтесь физическими упражнениями. Хорошо питайтесь. Высыпайтесь. Практикуйте медитацию осознанности.

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When experiencing stress, your brain produces hormones that tell the body to prepare to respond to a threat. Serious stress can compromise your mental health and may cause physical symptoms, too. One good way to manage stress is through exercise.  Exercise and physical activity can bring relief to tense muscles. Exercise also causes the body to release endorphins. Endorphins are neurotransmitters that make you feel good and inhibit your body’s stress response. They also help to improve your mood and help you feel calmer. Try different activities to find one you enjoy. Good activities are yoga, walking, dancing, and sports that help get your heart pumping.  When you are feeling stressed, it may be tempting to skip exercise because it is one more thing you have to do. However, the benefits will be clear in the long run. Proper diet and eating habits can also help reduce stress. Specifically, keep the following tips in mind:  Limit your caffeine and alcohol. Too much of either of these substances can promote anxiety. More than one or two alcoholic beverages per day can make it harder to cope with stress. Make mealtimes a calm, relaxed experience. Don't rush your eating. Don't overeat. Avoid using food as a way to cope with stress. Some foods contain nutrients that help your body manage stress. Specifically, avocados, bananas, tea, whole grains, fatty fish, carrots, nuts, yogurt, and chocolate are all thought to help manage stress. Sleep is a time for your body to repair and process the stress from the day. It is the time your brain has to unwind. It also allows your body to relax after using tense muscles throughout the day.  Sleep acts as the reset button for your stress level. It helps you to avoid serious stress responses such as anxiety.  It is important that your get enough sleep and that the sleep you get is of good quality. For example, you don't want noises waking you up frequently during the night. To help reduce stress, get 6-8 hours of restful sleep each night. Mindful meditation is meditation that...


Занимайтесь физкультурой. Правильное питание. Откажитесь от сигарет и алкоголя.

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Exercising regularly can help improve your memory, aiding to your ability to develop the skill set of a prodigy. Try to move for at least 20 minutes a day. Take a walk each night. Ride your bike to work. Get a stress ball and bounce it around your office for 20 minutes a day. Simple, regular physical activity can greatly improve your memory and overall skills. Eating a balanced diet can help you develop the skill set necessary to becoming a prodigy. Adequate nutrition helps care for your mind as well as your body. Make sure to eat a lot of fruits and vegetables, as well as high quality proteins like those found in fish and poultry. Eat dairy in moderation and incorporate high quality carbohydrates into your diet, like those found in whole wheats and whole grains. Alcohol and tobacco can affect the memory. They can also affect the sleep schedule, and poor sleep can affect your overall performance and memory. Try to stick to drinking in moderation, which means only one to two drinks a night. If you're a smoker, talk to your doctor about quitting. In addition to affecting your memory, smoking can cause a variety of other health problems.


Заниматься нужно довольно таки часто. Учитесь соответственно своей манере учиться. Пользуйтесь преимуществами эмоциональной памяти. Слушайте музыку.

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Studying hard for only a few hours the night before the test isn't going to help ensure perfect scores. If you really want to ace those exams, study old and new material every day, or at least several times a week. This will make test-taking a breeze.   Take study breaks. When you study, make sure you take a 5-10 minute break after every 30 minutes of study. This will help keep your brain from getting overloaded and give it more time to absorb the information.  On study breaks, try not to fill your brain with more information, even if that information is more about your favourite celebrity's latest concert rather than Winston Churchill's foreign policy. Certain subjects are easier to understand when studied using a style that connects to the nature of the subject. For instance, if you're studying literature, you'll need visual reading and writing activities. If you're studying music, you'll need auditory resources. For art courses, kinesthetic activities often help.  Learning styles, as conventionally understood, are somewhat controversial. Many academic studies suggest that learners develop subjective preferences for studying material, but these styles don't necessarily mean they learn better through these styles.  Nevertheless, the idea of learning styles still persists even in academic circles. If a subjective preference for a certain learning style helps motivate you to study, you can still try it. Your brain is pretty good at associating smells or sounds with ideas or memories. You should take advantage of this! While you're studying, wear some unusual cologne or perfume (with a smell you don't usually encounter) and then expose yourself to that smell again right before or during a test. . Your teacher probably won't let you have headphones during a test, but you should at least listen to music, specifically classical music, right before taking a test. Studies have proven that exposure to certain types of music right before rigorous mental activity can really help, by waking up your brain and increasing...


Запаситесь всем необходимым и задрайте люки. Устройте тематическую костюмированную вечеринку. Сделайте фотопроект ярких моментов. Сыграйте в игру с выпивкой. Постройте гору из пива. Держите еду под рукой. Отправляйте гостей домой, когда придет время.

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If you're finally 21, a house party can be a great way to ring in the year. Head to the liquor store and stock up on a variety of booze, invite enough friends to tear the place down, and get a DJ. Party time.  You only get so many opportunities in life to throw a kegger. Your 21st is the most obvious. Invite lots of people, make sure they're all over 21, and drink a giant keg of beer together. Clear everything out of the living room to make a party space, hiding anything breakable, or anything your roommates don't want stolen. If you're going to throw a loud party with music, warn your neighbors and get on their good side to avoid an uncomfortable house call from the police late at night. try to be considerate of your neighbors, and let them know what you're planning, and try to cut it off at an appropriate hour. try to resist the urge to supply your underage friends will alcohol. If you're the first of your crew to turn 21, maybe having a house party isn't the best idea. If you decide to throw yourself a 21st bash at home, you can afford to get a whole lot weirder than if you go out. That means costumes, games, maybe even feats of strength. Who knows. You only turn 21 once. Some great time-tested theme parties include:  Dork Party. Tell everyone to dress up as their favorite video game character, super-hero, or other nerd-related theme. Wait for hilarity to ensue. Throwback Party. Make like it's 1984 and make everyone wear washed-out jeans, ugly sweaters, and big perm-style hair. Listen to Flock of Seagulls and discuss Reaganomics over wine coolers. Good times. Toga Party. A time-tested classic, probably just as popular when your parents turned 21. At a toga party, everyone wraps themselves in a sheet as if they were at the Roman coliseum. Drink ambrosia (coconut rum, orange juice, pineapple juice) and carry on regally. Heaven and Hell Party. This only works if you've got three floors. Put champagne and wine on the top floor, beer on the ground level, and liquor in the basement. If it's your party, you play...


Запаситесь всем необходимым.

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Collect all the materials you will need to construct and design your sketchbook:  20-30 sheets of drawing paper – Size A4 works well or even 9”x12” or 11”x14”. Patterned paper – This paper is for decorating the outside cover of your sketchbook. Depending on how you want to decorate you can use 3 different patterns for the cover of the sketchbook, the spine, and the interior of the sketchbook covers (endpaper). Cardboard – To make the covers of the sketchbook. Consider using thick paperboard rather than corrugated cardboard; it’ rather feeble.  Glue – White school glue works just fine for painting the materials. Needle and thread – Using a thicker needle is advised, as well as thicker thread, such as string, yarn, or hemp.  Ruler An awl or pushpin Pencil Small paintbrush or sponge brush


Запаситесь всем необходимым. Вырежьте картонное основание. Раскатайте глину. Вырежьте из глины квадрат. Вырежьте из глины следующие квадраты. Выровняйте края и нанесите надрезы. Подождите, пока глина высохнет. Покрасьте пирамиду. Подождите, пока пирамида высохнет.

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Making a clay pyramid allows you to get creative by making realistic indents and grooves in the walls to resemble an ancient Egyptian pyramid. You'll need the following materials for this method:  A large ball of modeling clay (the kind that air dries) A piece of cardboard Rolling pin Knife Ruler Pencil Scissors Paint (sandy brown color) Paintbrush Use the ruler and pencil to draw a square on your piece of cardboard. An 8-inch by 8-inch (20.3 cm by 20.3 cm) base is a good size, or you could make a larger base if you have plenty of clay. Cut out the square when you're finished. Knead the clay into a ball, the place it on a clean, dry surface. Use the rolling pin to roll out the clay to a thickness of 1 inch (2.5 cm). Cut a 6-inch by 6-inch (15.2 cm by 15.2 cm) square out of the clay. Center it on top of the cardboard base. The next layer should be 5 inches by 5 inches (12.7 cm by 12.7 cm), followed by 4 inches by 4 inches (10.2 cm by 10.2 cm), 3 inches by 3 inches (7.6 cm by 7.6 cm), 2 inches by 2 inches (5.1 cm by 5.1 cm), and finally 1 inch by 1 inch (2.5 cm by 2.5 cm). Stack each layer in the center of the previous layer. Press your ruler against the sides of the squares to slant them slightly downward. You can also create ridges by using the knife to make markings that look like stone shapes in the sides of the pyramid. Leave it alone for several hours, or even overnight, to give the pyramid time to dry and harden. Refer to the instructions on the clay packaging if you’re unsure how long it takes to dry completely. Pour the paint into a dish and use the paintbrush to spread an even coating on the pyramid. Alternatively, cover the pyramid in a light coating of white school glue and sprinkle it with sand before the glue dries. Let your finished pyramid to dry overnight. Then, take it to school and show off your hard work.


Запаситесь всем необходимым. Для начала расчешите свои волосы. Пока волосы не высохли, нанесите на них средство для волос. Дайте своим волосам немного подсохнуть. Нанесите на волосы немного термозащитного спрея. Начните обрабатывать волосы феном.

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Kinky or textured hair can look great and amazing, but it is also delicate and prone to damage. If you have kinky or textured hair, you'll need to take a few extra steps to protect it from the heat of a blow dryer. Here's what you'll need:  Hairdryer Wide-tooth comb attachment Heat protecting spray Styling foam or mousse Hair cream or serum Wide-toothed comb Ceramic round brush Use a wide-toothed comb, and start from the ends of your hair first. Only comb your hair from the roots straight down if your hair is completely tangle-free. Use a styling foam or mousse if you plan on having a blowout. If you want to straighten your hair later, use a styling cream or serum; it will give your hair more protection. You want it to be almost dry before you start using a hairdryer. If you try to blow dry your hair while it is still wet, you might "cook" your hair, and damage it from the inside out. Consider braiding your hair and letting it air dry all the way, or partway. Kinky, textured hair is delicate, and the high temperatures of a hairdryer can really damage it. Aim the nozzle downward, and keep it at least 6 inches (15 cm) away from your hair. If you keep it too close, you might burn or scorch your hair, even with the heat protecting spray.  Try working in smaller sections. Aiming the nozzle down the hair shaft will help prevent frizz. Start blow drying from the back of your head first. This way, you won't have to worry about messing up the front after you finish it. Use a ceramic round brush to smooth out your hair. Brush your hair from the roots to the ends and blow dry the section from roots to ends as you do this. You can blow dry your hair without using a brush, but then you will have to use a flat iron to straighten it.


Запаситесь всем необходимым. Начертите квадраты, используя последовательность Фибоначчи. Пронумеруйте квадраты по порядку. Возьмите циркуль. Измените размах циркуля. Обведите спираль чернилами. Сотрите вспомогательные линии. Готово!

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You'll need to draw a system of squares that will end up "inscribing" the spiral, acting as guide lines for your drawing. Gather your materials, making sure that you have everything––the list of what is needed is found in the Things You'll Need section below all the steps. This works by adding the two previous numbers: You get the next one starting from 0 and 1; so, it goes 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc. The length of one side of each square should equal a number in the sequence (the 0 is not needed for drawing any of the square), but the beginning point can be called (0,0), if we set it up that way. You will have a 1X1 square (use any unit of measurement you want, at any size, just be consistent) with a second 1X1 drawn next to it on the left side of the first, then down to put 2X2, and right for 3X3, then up for 5X5, and then left to fit 8X8. Below all that, put 13X13 and so on, to as large a square as your paper can fit. Draw each of these squares in a counter-clockwise pattern. It will finally form a spiral as you draw a curve through the squares (as instructed later). Put your compass, pivot point and pencil, as shown in the picture, with its length set at one unit (side of the first square) long. Turn it 90 degrees counter-clockwise. Adjust the compass so it is now two units long.  Again, turn it 90 degrees counter-clockwise. Then 3, then 5, next 8 and continue this process until the squares each have the curving spiral through them. Ink your drawing with pen when you are ready, carefully tracing along the penciled curve.  If you're shooting for exceptional accuracy, you can use a French curve to help you. With the spiral traced in pen, use your eraser to rub out the squares made in pencil. Congratulations, you've just made the golden spiral!


Запаситесь всем необходимым. Отделите от воска фитиль. Измельчите воск. Расплавьте воск, используя пергаментную бумагу. Разверните пергаментную бумагу и посмотрите, хватит ли вам воска. Нанесите воск на бумагу. Сделайте восковое покрытие гладким. Положите лист между двумя бумажными полотенцами, чтобы он охладился. Проделайте то же самое со второй стороной листа.

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It is best to start with paper that you have already written on, because normal writing implements do not always write easily on wax paper. You will also need wax that you can melt down, and some basic tools to treat the paper with wax.  Wax, or candles Parchment paper Scissors A sealable sandwich bag Hammer or mallet Iron and ironing board Cloth towel and paper towels If you are starting out with candles rather than just wax, you need to get the wick out. Use a hammer, knife, and/or other household implements to chip into the wax and extract the wick. It is ok, and even preferable, if you have to split the wax into a lot of small pieces, since you will eventually melt them. Having more small pieces creates more surface area, making the melting process faster. You don’t need a large amount of wax. Start with a tea light or votive, or that leftover half of a taper candle on the kitchen table. Put the wax in the plastic bag and seal it. Tap it gently with the hammer to break it into smaller pieces. Placing it in the bag will ensure that pieces of wax don’t go flying all over the room! Put the towel on the ironing board. Then, place the pieces of wax on one half of the parchment paper. Fold the paper once so that the wax is encased inside like a sandwich, and place it on the towel. Use the iron to melt the wax. Make sure you keep the iron moving. Just as with clothing, leaving it on one spot too long will burn or damage whatever is under it. Parchment paper is flame resistant, but not completely non-flammable. The wax should have enough surface area to cover your paper. If it doesn’t, add more wax, close the paper, and iron it again. Repeat this until you have enough wax. Place the paper you want to make flame resistant on the wax. Fold the parchment paper back again and iron for a few seconds. The heat will help the hot wax bond to the paper. Add more wax if necessary. You want the paper to be as smooth and flat as possible – unless you are adding texture for an arts and crafts project. Feel the wax to see if...


Запаситесь едой и прочими необходимыми вещами. Положите все, что вам понадобится в пределах досягаемости. Передвиньте мебель в более удобное место. Наклейте на машину наклейку со знаком инвалида. Попросите друзей или родственников помочь вам.

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After you return home from the hospital, you will still need to stay off of your feet as much as possible. One way to make this easier on yourself is to stock up on anything you might need during your recovery. Some things to stock up on include:  food and beverages toiletries books movies over-the counter medicines, such as a gentle laxative and prescription or over-the-counter pain medicine You will need to stay off of your feet as much as possible when you get home from surgery, so it is a good idea to get yourself set up ahead of time. Gather any items that you think you will want and place them near where you expect to spend most of your time as you recover at home, such as your bed or recliner. Think about what items you will want to have nearby when you return home from surgery. For example, you might want to have a stack of books by your side, or the remote control to the TV, or a backscratcher. Fewer obstacles will also make getting around your house much easier, so you might also want to rearrange some of your furniture before you head to the hospital. For example, you might consider moving a coffee table to the side of the room so that you do not have to walk around it. Or, you might consider moving your bed to the ground floor so that you don’t have to go up and down the stairs all of the time. When you are able to drive again, you will still want to stay off your feet as much as you can, so a handicap placard can be helpful. Apply for a handicap placard at your local DMV prior to your surgery. The placard will only be temporary, but it will ensure that you can park closer to entrances whenever you have to go somewhere. Even if you are well set up at home, you will still need to have some support from your friends and family while you recover. For example, you might need someone to pick up your mail, fill a prescription for you, or take you to a doctor’s appointment. Make sure that you let your family members and friends know that you are having surgery and ask if one or more of them would be able...


Запаситесь едой. Найдите безопасное место. Сделайте себе постель.

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Since sleeping increases your health and sanity at the huge cost of hunger, make sure you have plenty of food on hand. Even just having a stock of berries and carrots in your inventory would be enough to keep you from dying of starvation. Cooking your food over a campfire is an effective way to increase the hunger points gained by most food types. Simply select your food, walk up to the campfire, and left-click or press X to cook it. Seeing as you want to sleep, looking for a relaxing spot to camp out is always a good idea. Ideally, the area must be free from any Spider Dens, Beefalo herds, and Frog ponds. This is because Spider Dens and Frog ponds tend to spawn hostile creatures (Spiders for the dens, Frogs for the ponds), while Beefalo tend to become hostile and attack you during mating season, a time when their rears turn red. Note that you can’t sleep if you’re in a dangerous area or if your hunger is too low, so only sleep if you need to regain Sanity quick and are either willing to suffer the penalty, or if you have enough food on stock. Most characters, excluding Wickerbottom, can sleep off their troubles by crafting Fur Rolls, Straw Rolls, Tents or, in the Reign of Giants DLC, a Siesta Lean-To. You can craft a Straw Roll, which you can use once, early enough in the game as long as you have a Science Machine. Fur Rolls and Tents require an Alchemy Engine, which is the second available crafting station in the game.  If you plan on making a Tent, seeing as it’s semi-permanent (cannot be picked up without destroying it with a hammer, wears out after 6 uses), you’re better off using the space as your main campsite. Tents themselves need a fairly wide space, and combined with a campfire might require a lot of space. A Straw Roll is the easiest of the bunch to create, requiring 6 Cut Grass and 1 Rope to make in a Science Machine. While both Tents and Fur Rolls are available and Fur Rolls can be brought anywhere to sleep with, Tents are more economic, since Fur Rolls not only need 1 Straw Roll but also...


Запаситесь терпением Не бойтесь сообщить о симпатии, но не перестарайтесь.  Не скрывайте Не принимайте отказ на свой счет при таком развитии событий.

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After your first date, continue with your other activities, and make it clear that you have a life beyond dating (because you do!). The idea is to overcome any feeling that you "need" to call them, or you "need" to see them again, or you "need" this to work out.  Don't plan another date too quickly. Your partner (and you) need time to assess your feelings about the date, and whether you want to get together again. Within a week of your first date  – but not right away – call or text them to ask them how they’d feel about going on another date. Never call, e-mail or text message multiple times a day. If you do reach out, wait for them reply. Saying something like "I really like you; you're a great person" can mean a lot to your date. Saying the other "L"-word — "I love you" — is probably not recommended during the early stages of dating, even if that's the way you feel. It could come across as impulsive and intimidating, and your feelings might change, no matter how strongly you feel about the person. If, after the first date, you don’t feel like you can commit to the person, let them know right away so you don’t give them false hope. Only say that you want to be friends if you mean it, and if you actually want to spend time with this person on a regular basis. If you want to continue to be in each other’s lives, honesty will remain a critical ingredient to a healthy relationship! If you try dating, rejection is inevitable, but it’s not a reflection on whether or not you’re interesting or fun. If your date tells you they’re not interested in being involved with you – or simply stops responding to your texts – it shouldn’t stop you from continuing to meet new people.  If you suspect that rejection might be difficult for you, avoid apps like Tinder that involve evaluating people based on superficial criteria. Being turned down based on a quick glance and a reflexive reaction can be detrimental to one’s self-esteem.  If your date “ghosts” you, it’s more of a reflection of their lack of consideration than anything...


Запаситесь терпением. Соберите урожай со зрелых растений. Снова посадите семена. Расширяйте границы вашего сада.

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Wait for your crops to ripen. Plants will grow more quickly when they are irrigated and well-lit – including at night. Try using bone meal on plants to make them ready more quickly. Two doses of bone meal should bring a freshly-planted wheat seed to full maturity. Wheat will grow up slowly from green to golden-brown. When it fills the full air-block, you'll know that it's time to harvest. If you aren't sure, look online for photos of mature Minecraft wheat. Left-click or "punch" mature plants to harvest their bounty. You can also use your hoe, although there's no advantage here. The crops will fall to the ground, ready for you to pick them up, and a few seeds may also scatter in the process. Collect and store the harvested wheat, pumpkins, melons, etc. Your crops may not all ripen at the same time unless you are very efficient in your planting process. Most of the time, harvesting a crop will reveal seeds. This is especially true of wheat: you may only get one seed per plant, or you may find several. Either way: quickly replant seeds in each of the tilled, harvested blocks to keep your farm growing. You may need to re-till some spaces. As you collect more seeds and more varieties, you may want to plant more crops and make your farm larger. You may be able to slowly and "naturally" grow your farm by planting any extra seeds that you get from the harvest. Remember that the larger your farm grows, the more water you will need to keep it evenly irrigated.  Read up on efficient ways to organize your farm. Get creative. Try to figure out how you can grow the most plants with the least water, or how you can harvest the plants more quickly. There is no limit to the size of your farm. You may find that even a small wheat farm relatively quickly fulfills your survival needs &ndash, but it doesn't hurt to expand!


Запеките тыкву целой, если хотите сократить время приготовления. Запекайте целую тыкву в мультиварке 3–4 часа, если хотите упростить себе работу.

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If you don't want to cut through the hard raw squash, bake it first so it's easier to cut the cooked squash. Poke holes all over the squash with a metal skewer and put the whole squash on a baking sheet. Roast it at 400 °F (204 °C) for 60 to 70 minutes. Then, carefully cut the soft squash in half lengthwise and remove the seeds.  Wear oven mitts to turn the squash halfway through the cooking time. Although this method is easier to prep, the squash won't be as flavorful because the squash will steam instead of caramelize. Hold the squash in place on your cutting board and carefully cut 1⁄2 inch (1.3 cm) slits across it. Put the whole squash in the slow cooker and place the lid on it. Then, cook the squash on "High" for 3 to 4 hours or "Low" for 6 to 8 hours. Once the squash is soft and cool enough to handle, slice it in half lengthwise and scoop out the seeds.


Записывайте и делайте заметки. Ведите неформальные беседы и обсуждения. Мыслите здраво. Решайте головоломки. Будьте сосредоточены. Продолжайте попытки.

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Writing things down allows you to remember better than just hearing it or saying it. When you read, it helps you learn information, and then writing it down helps you to retain it. Just as you practiced in school, writing down information helps to reinforce information. These types of interactions with other people tend to stay retained in your mind better than information learned through studying alone or just listening. You never know what wisdom a person may have until you listen to what they have to say. Be open-minded to the ideas of those around you. Everyone will have a different interpretation or opinion on something, and in order for you to think critically, it is important to listen to all of those ideas. This means to be skeptical and perform your own research. You don't have to accept everything you hear as truth or fact. You should deeply question and ponder the validity of all that you hear in order to truly widen your logic and knowledge. Whether it's reading, researching, or participating, you must actively engage, be willing to explore, ask questions, and really think about what you're doing. Allow your mind to mull over everything you learn and experience so it can grow. This is how new information becomes actual knowledge. Puzzles that are designed to get your mind thinking. Sudoku, logic puzzles, or chess are great exercises for your brain. Working through puzzles can help you develop logical thinking. Every kind of puzzle has its own set of rules, procedures, and tricks for figuring it out. Mastering each set of rules and tricks improves your mental agility, which can then be used for other intellectual tasks. In other words, mastering one kind of problem helps you learn to master others. At first they may be challenging, but you will find yourself getting better at them the more you practice. Noise and distractions can short circuit people's mental focus when they're reading, analyzing, or doing other knowledge-building tasks. When you are trying to learn something new, do it in a quiet...


Записывайте мысли. Выражайте четкие и законченные мысли. Начните со своих достоинств. Перечислите аспекты, которые следует улучшить. Запишите свои возможности. Укажите факторы, которые мешают вам достичь успеха. Выполните словестную самооценку.

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Putting something in words helps you to be specific. You can write in whatever way you feel comfortable, be it lists, notes, cartoons, drawings, or maps. If you're not a writer, consider talking into a tape recorder or recording your thoughts some other way. Instead of vague, broad assessments, come up with specific strengths and areas for improvement. This will help you when the time comes to take action. Don’t just focus on areas for improvement, focus on strengths and skills as well. For example, instead of noting that you're “too shy,” you can say “I would like to be more assertive to get my point across in meetings at work when I feel strongly about something.” What are you good at? What do you have a passion for doing? What do others compliment you on or tell you you're good at? Once you have these listed, think about how you can make them even better or use them to your advantage. Take 10 minutes and complete the following sentence as many different ways as you can: One of my strengths is that ... What do you dislike? What doesn't work too well for you? Focusing on areas for improvement can put things into perspective. Once you have listed them, you can choose whether to try to improve upon these areas or let them go. Take another 10 minutes and complete the following sentence as many different ways as you can: Things don’t work well when ... These could be based on how you use your strengths or improve yourself. At a personal level, an opportunity isn't just the potential to make money. Rather, an opportunity might satisfy your own needs or help you improve yourself. For example, learning an instrument might not provide you a financial opportunity, but the satisfaction of learning to play could be opportunity enough. What could undermine those opportunities, derail your hopes, or sidetrack your success? Identifying these factors will make you more aware and make them less threatening. Some risks are beyond our control, but many can be lessened or anticipated. Place an empty chair across from you and...


Записывайте свои ощущения в течение 15 минут. Ищите негативные мысли и шаблоны. Запишите свою реакцию, адресованную будто бы близкому другу. Прочитайте свою реакцию.

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Write about the situation that has given rise to these feelings. What happened? Who said what? Why is this important to you? Identify and name your feelings. Don’t edit or censor and don’t worry about spelling, grammar and sentence structure. Be honest with yourself. Write it all out.  The more honest you are, the better your chances of lessening the severity of your feelings.  This gives you distance from your thoughts and allows you to take a more objective look at the situation. Often times, negative ways of thinking become habit and we believe our thoughts to be truth. Try and see how much of what you’ve written is based on fact and how much of it is your opinion. That the way you think creates the way you feel is a core premise of cognitive behavioral therapy. This exercise will help you deal with your thoughts in order to deal with your feelings. It’s easier to spot flaws in your thinking when all the thoughts are physically written for you to read and see. We are often judgmental and criticize ourselves where we would not others. Be kind and think of logical arguments and responses to what you’ve written. Present facts and give comforting advice. If you’re not comfortable writing, consider recording your thoughts on a voice recorder app (speak up to ten minutes at a time). Listen to your recording once you are done speaking. As you listen, notice any unhelpful thinking. Repeat the process up to three times. Once you’re finished writing, read through what you’ve written. Put it away and read it again after a night’s sleep or after 24 hours. In the mean time, try to do an activity that you find relaxing or a hobby you enjoy. Time will help give you distance from the emotion and a fresh perspective. It’s best to keep your writing somewhere no one else will find it. Knowing your thoughts will be private will help you be more honest with yourself.


Записывайте свои сны. Решите, был ли ваш сон значимым и классифицируйте его. Расшифруйте знаменательный сны.

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Before falling asleep, place a pen or pencil and a journal next to your bed. When you wake up in the morning, or periodically throughout the night, record your dreams in your journal. Write down every detail of your dreams you can recall. Jot down the minor details, no matter how mundane or insignificant they may appear. If you have been recording your dreams for a while, make note of any recurring concepts, characters, or objects. Your subconscious mind is revealed in your dreams. Therefore, recording and studying your dreams provides you with access to your unconscious mind. An insignificant dream incorporates aspects of your physical surroundings—you may incorporate smells, sounds, and physical actions occurring around you into your dream; a significant dream is derived from your subconscious mind—it is not a common dream but an odd, puzzling, or illuminating dream. If your dream was significant, determine which category of subconscious dreams it falls under. Was it a precognitive dream that revealed details about future events? Was the dream a warning? Was it factual—did it confirm what you already knew? Did the dream inspire you or fulfill one of your desires? Did your dream fulfill your wish or need to reconcile with someone or something? Vivid dreams are often more significant. You do not have to be an expert to analyze your own dreams! All it requires is a little effort and research. There are handy resources online and at your local library! When analyzing your dream, assess it as a whole. Each detail you recall has significance and will enhance your interpretation of your dream, as well as your understanding of your subconscious mind. If the dream dictionary’s definition of a symbol is inadequate, try assessing the dream within the context of your own life. Try to determine for yourself if there is a reason this image, person, or thing is appearing in your dreams.


Записывайте факты. Всегда читайте условия. Планируйте время. Начинайте с того, в чем вы сильны. Внимательно читайте вопросы. Просмотрите распределение баллов за вопросы. Правильно подходите к тестовым вопросам. Набросайте короткий план ответа на объемные вопросы. В конце проверьте все ответы.

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If you need to remember a set of facts for the test, write them on the top of the test paper as soon as you're allowed to start writing. That way, you know you won't forget them while taking the test. The directions may tell you how long your answers need to be or even how many questions you need to answer. It's important to read the directions carefully, or you may lose easy points. Make sure you have enough time for all parts of the test. Take a moment at the beginning to look through the test and see what you have ahead. If you have essay questions, make sure you don't spend so much time on other parts of the test that you don't have time for the essay question. Keep an eye on your time throughout the test. If you know you're best at short answer, start with those questions first. That way, you know you will have answered the questions that you are best at, giving you the most points. Sometimes your teacher will word questions in a particularly confusing way. Make sure you know exactly what the question is asking before answering. In other words, you don't want to jump to an answer after having only read a few words of the question. On some tests, you just don't get the points if you answer incorrectly. On other tests, you don't get the points if you skip the question, but if you answer incorrectly, you get extra points taken off. In the first case, guessing on multiple choice does you no harm and may help you. In the second case, you may lose more points than you gain by guessing. Multiple choice questions can make it easier for you to answer the question. You don't actually need to supply the answer, as the answer is already there as one of the choices. However, sometimes they can be difficult because two answers seem too similar.  Once you've read through the question, decide on what you would answer before looking at the answer choices. That way, you won't be swayed by other answers before coming to a conclusion. If your answer is there, pick it, and move on. If isn't, reread the question to see if you...


Запишите важную информацию. Сначала выполните те задания, в решении которых вы уверены. Вычеркивайте неправильные ответы. Ищите подсказки в других вопросах. Никогда не оставляйте вопросы без ответов. Поторопитесь.

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As soon as the test starts, write down all formulas or other important information on some scratch paper before you start going through the questions. This will help keep you from blanking when you need that information later. Always do the fast, easy problems to which you know the answer first. This will help make sure that you get as much of the test done as possible. If you get stuck, just move on to the next problem that you can answer quickly. Once you've answered the questions you know, move on to the ones you're not sure about. When you're dealing with multiple choice questions, eliminating answers that you know are impossible or silly will help you better decide between the possible options. Sometimes the answer to a question can be contained within or hinted at in another question on the test. Look at other answers or questions to help jog your memory. Unless you're docked for incorrect answers, never just leave a question blank. Especially if it's multiple choice; you'll at least have a 25% chance of getting the right answer. As mentioned above, this is where eliminating wrong answers will come in handy. This is important! Always keep track of how much time you have and try to use your time wisely. You can always go back to check or improve your answers later!


Запишите ваши нынешние привычки в питании. Определите, сколько калорий вы потребляете в настоящий момент. Определите ваш нынешний ежедневный прием макроэлементов. Спланируйте вашу диету.

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Take the first week to analyze your current diet habits. To do this, start a food diary. Record everything that you eat and drink for a week, be sure to include snacks and portion sizes.  As you record your food and drink intake, also record your mood. You will be looking for patterns. Do you eat when sad, bored, stressed? If you find that you do eat when emotional, keep this in mind when starting your diet. You do not want to mindlessly fall back into old emotional habits. After a week of recording everything you eat, analyze your weekly food intake. Use a free online nutrition site like to determine how many calories you consume. Add up the calories you consumed for the entire week. Then divide this number by 7 to find your daily average intake of calories. Macronutrients refers to how much fat, carbohydrates and protein is in the foods you eat. Use a free online nutrition site to determine the macronutrient content of your food. Determine your daily average by adding up your macronutrient intake for the entire week and dividing by 7. Do this for your daily fat, carbohydrate and protein intake.  It is important to know your macronutrient intake because you want to restrict the right kind of calories to stay healthy on a diet. Now that you have your target calorie and macronutrient ranges and have analyzed your old eating habits, figure out what you need to cut or change in order to meet your new goals.  This takes some time, play around with menu ideas and calculate the calorie and macronutrient content. Find a diet that fits your taste and lifestyle but is within the nutrition guidelines.


Запишите вероятность выброса для одной игровой кости. В колонке таблицы для расчета вероятности для двух игровых костей используйте приведенную формулу. Точно так же, для 3 или более игровых костей применяется та же формула,  с использованием вероятностей выпадения каждой суммы на одной игровой кости. Приведенная ниже картинка показывает количество способов достижения нужной суммы, а не вероятность.

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Record them in a spreadsheet. The example shown uses 6-sided dice. The blank rows for negative sums are treated as zeros and allow the same formula to be used in all rows. That is, the probability of 2 dice showing any sum k equals the sum of the following events. For very high or low values of k, some or all or these terms might be zero, but the formula is valid for all k.  First die shows k-1 and the second shows 1. First die shows k-2 and the second shows 2. First die shows k-3 and the second shows 3. First die shows k-4 and the second shows 4. First die shows k-5 and the second shows 5. First die shows k-6 and the second shows 6. Thus, the formula entered in step two can be filled both down and across until the table includes as much data as required. probability = number of ways / r^n where r is number of sides on each die and n is the number of dice. Alternatively, the spreadsheet can be modified to compute probability directly.


Запишите вредные последствия зависимости. Составьте список желаемых положительных изменений в жизни. Запишите свои причины отказаться от привычки.

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It might not feel good to acknowledge all the ways in which your addiction is harming you, but seeing the list on paper will help you resolve to stop as soon as possible. Take out a pen and a piece of paper and brainstorm a list that includes all the negative effects you've experienced since your addiction started.   Address why you became addicted in the first place. Ask yourself what it’s preventing you from doing or what the addiction is doing for you. Think about how your addiction has affected your physical health. Are you at greater risk for getting cancer, heart disease, or another illness as a result of your addiction? Maybe the addiction has already taken a noticeable physical toll. List the ways in which it has hurt you mentally. Are you embarrassed about your addiction? In many cases addictions lead to shame and embarrassment, as well as depression, anxiety, and other mental and emotional issues. How has your addiction affected your relationships with other people? Does it prevent you from spending time with people you love or having enough time to pursue new relationships? Some addictions take a big financial toll. List the amount of money you have to spend feeding your addiction every day, week and month. Determine whether your addiction has affected your job. What daily annoyances are caused by your addiction? For example, if you're a smoker, maybe you're tired of having to leave your office every time you need to light up. Now that you've detailed all the negative effects of your addiction, think about how much your life will improve once you've kicked the habit. Create a picture of your life post-addiction. How do you want it to look?   Maybe you'll feel a sense of freedom you haven't had in years. You'll have more time to spend on people, hobbies, and other pleasures. You'll be able to save money again. You know you're doing everything you can to stay healthy. You'll feel immediate physical improvements. You'll feel proud and confident again. Having a list of solid reasons to quit will help...


Запишите все идеи для сюжета, которые приходят вам на ум. Придумайте начальную сцену, которая зацепит читателя. Распишите отправную сцену. Постройте завязку, чтобы напряжение нарастало. Опишите кульминацию. Определите сцену для развязки. Придумайте удовлетворительное заключение для своей истории. При необходимости заполните пропуски между сценами.

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Don’t worry about making sense or putting things in order. Just get your ideas on paper. You might write down all of the exciting scenes first, then add more scenes as they come to you. Don’t try to force yourself to work in order. The more you get out on paper, the easier it will be to fill in the gaps. This scene should introduce your character and setting. Show your character in an everyday situation your reader can relate to. Hint at the story’s conflict by having your character face a related issue. This scene will act as your exposition if you’re following a traditional plot outline. For example, in the story about Kait and Maria presented above, you could open your story with Kait and Maria driving to the party. The car could slide on the pavement, causing Kait to struggle to gain control over the car. This is the scene that kicks off your plot. It should occur early in the story, such as the first scene in a short story or the first few chapters of a novel. Make sure your inciting incident sets up the conflict.  In a very short story, your hook and inciting incident may be the same scene. For example, the inciting incident in Kait and Maria’s story would be when the car crashes into the tree. Your rising action will begin after the inciting incident and carry your reader to the climax. It should slowly build the tension over the course of your story. It may be contained in 1 scene for shorter works, but longer works will include a lot of rising action.  In a longer story, it’s a good idea to build moments of tension relief into your rising action to give the reader a break from the tension. For example, the rising action in Kait and Maria’s story might show Kait in the hospital, Kait talking to the police, Kait getting grounded from driving, Kait contacting friends to search for Maria, Kait searching social media for references of Maria, and Kait searching the car and her stuff for signs of Maria. Your climax is the peak of the story when your main character faces their conflict. This will be the...


Запишите все, что помните о произошедшем. Сохраняйте всю документацию. Поговорите со свидетелями. Поищите доказательства у третьих лиц.

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As soon as possible, document what happened. For example, if you were denied a promotion, write down your memory of the meeting where you were given an oral explanation.  Take down the names of store employees or anyone else you have a complaint against. Ask for first and last names: customer service representatives often only give a first name. Write down the day and time, as well as the location of where the incident occurred. If you want to lodge a grievance against the driver of a transportation company, you should note not only the license plate number but also the location of the incident. Keep any communications between you and the party against whom you hold a grievance. Retain not only formal communications, such as letters, bills, and receipts, but also informal ones like hand-written notes or emails. Keep your documents in a safe place, such as a safe deposit box or in a safe a home. Also, you can scan any documents so that you always have an electronic copy. If someone observed the incident, talk to them. For example, if someone witnessed harassment at work, you should make a note of who they were. If a stranger observed poor service at a store, try to get their name and contact information. Speaking to witnesses is also a good way to judge whether or not you misunderstood the situation. For example, several witnesses may have heard someone say something different than what you heard. Many businesses have security cameras which record what happens in the store as well as the parking lot. Many cities also have installed cameras that take pictures of intersections. If applicable, you may want to seek this evidence.  At this stage, you should simply ask for the evidence. Even if the store does not want to hand a copy of the footage over to you, ask that it be preserved. If you file a lawsuit, then you can get a copy with a subpoena. You can sometimes get video from a police dash cam by filling out a Right-to-Know request form. Contact the police department about obtaining any video they may have.


Запишите все, что случилось с вашей дружбой. Напишите бывшей подруге прощальное письмо, которое вы не станете отправлять. Опишите, какой была ваша дружба все эти годы. Обсудите ситуацию с общими друзьями. Примиритесь с другом.

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Understanding what caused your friendship to break up can help you figure out what the best way to move past it is. Writing down your thoughts and feelings can help you more quickly deal with and overcome feelings of anger, betrayal, and sadness. Plus, writing it all down can help you think about it more and may make you realize if it might have really been a good thing that you broke up. Write a letter that expresses all the anger, frustration, and heartache that you feel about your friendship ending. Include everything that you will miss about having this friend in your life. Writing all these thoughts down as if you were going to say all of them to your former friend will give you a sense of closure. Once you’re done writing the letter, store it in a safe place, throw it away, or even burn it, but don’t send it. Sending the letter could make matters worse by re-opening communication and saying hurtful things. Consider whether your friendship was healthy with mutual respect or if it was a toxic, harmful friendship. Toxic friends are ones who treat you badly by insulting you, being critical, or being overly demanding of your time and energy.  If you find that your entire friendship was harmful to you, be glad knowing that it is behind you. If you find that your friendship was a very strong one, consider whether or not you really want to cut this person out of your life. You may want to stay in contact with them and look for ways to repair your friendship. Even if a friend moved far away, you can retain a friendship with them by writing to each other and talking over the internet or on the phone. Talking to other people who know both you and your former friend can help give you some perspective on the ending of your friendship. They may also be able to give you some perspective on whether or not your friendship was a healthy one. If you determine that your friendship was a good one and that you do not want to lose this person as a friend, contact them and ask if you can see them again. If you did something...


Запишите все, что хотите сказать. Составьте список вопросов. Отрепетируйте звонок.

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Start by making bullet points to cover the main things you want to say. Include the phrases you plan to use to introduce yourself, some information about your experience, and the type of position you’re seeking. If you need to write a script, use words and expressions that reflect the way you really speak so you’ll sound natural.  Introduce yourself. Use your full name. For example: “Good morning, Ms. Smith. My name is John Doe.” Discuss your accomplishments if they’re pertinent to your inquiry. For example: “I am an experienced web designer and IT specialist with ten years experience, looking for new challenges.” Say why you’re calling. For example: “I would appreciate a minute of your time to ask about vacancies in your IT department.” In preparation for the call, list the questions you have about the company. For example, you might ask about the types of positions that are available in your field and the best ways to follow up with an application. Inquire about other information that the company might need from you.  Also think of questions you think you might be asked and prepare your answers for those questions. For example, you may be asked why you’re applying with them, where you heard about the company, when you’d be available to interview or start work, and what salary range you’re looking for. Sit down in a quiet place with your script and list of questions and practice making the call. Try different ways to phrase things so that what you’re saying sounds natural. Time yourself to see how long it takes and try to keep your main points under a minute.  Practice speaking clearly. Also practice smiling when you speak. This will help you sound more confident. Record yourself and listen to how you sound. Fix anything you don’t like about how you sound, like saying “um” a lot or speaking too quickly or in a monotone.


Запишите дроби рядом друг с другом. Уясните, что такое эквивалентные дроби. Перемножьте два знаменатели, чтобы найти общий знаменатель. Найдите наименьший общий знаменатель (НОЗ).

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Write the fractions you are using side by side. Keep the numerators (top numbers) level with each other on top, and the denominators (bottom numbers) on the line beneath them. Let's use the fractions 9 / 11 and 2 / 4 as our example. If you multiply the numerator and denominator in a fraction by the same number, you end up with an equivalent fraction, exactly equal to the first. For example, if you take 2 / 4, and multiply each number by 2, you get 4 / 8, which is an equal ("equivalent") fraction to 2/4. You can test this yourself by drawing the fractions:  Draw a circle, divide it into four equally sized pieces, then color in two of them (2 / 4). Draw a new circle, divide it into 8 equal pieces, then color in four of them (4 / 8). Compare the colored areas in the two circles, representing 2/4 and 4/8. These two areas have an equal size. Before we can add or subtract the fractions, we need to write them so they have the same denominator (a "common denominator") that is divisible by both numbers. The quickest way to find this is to multiply the two denominators together. Once you've written the answer down, you can skip ahead to the section on finishing the problem, or try the step below to find a different common denominator that may be easier to use.  For example, we started with the fractions 9 / 11 and 2 / 4. 11 and 4 are the denominators. Multiply the two denominators together: 11 x 4 = 44. The method above is quick, but you can instead find the "least common denominator," meaning the smallest possible answer. To do this, write down the multiples for each of the original denominators. Circle the smallest number that appears on both lists. Here's a new example, which we could use if we were solving "5/6 + 2/9":  The denominators are 6 and 9, so we want to "count by sixes" and "count by nines" to find the multiples: Multiples of 6: 6, 12, 18, 24 Multiples of 9: 9, 18, 27, 36 Since 18 is in both tables, it can be used as a common denominator.


Запишите задачу. Запомните результаты возведения в куб целых чисел. Найдите первую цифру ответа. Найдите следующую цифру ответа. Найдите первое слагаемое (из трех). Найдите вторую цифру ответа. Найдите второе и третье слагаемые (из трех). Умножьте и вычтите. Подумайте, является ли полученный ответ достаточно точным. Найдите второй множитель. Умножьте последнюю цифру ответа на второй множитель. Запишите ответ.

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Solving the cube root of a number is going to look like solving a long division problem, with a few special differences. The first step is to set up the problem in the proper format.  Write down the number whose cube root you want to find. Write the digits in groups of three, using the decimal point as your starting place. For this example, you will find the cube root of 10. Write this as 10. 000 000. The extra 0s are to allow precision in the solution. Draw a cube root radical sign over the number. This serves the same purpose as the long division bar line. The only difference is the shape of the symbol. Place a decimal point above the bar line, directly above the decimal point in the original number. You will use these in the computations. These cubes are as follows:  13=1∗1∗1=1{\displaystyle 1^{3}=1*1*1=1} 23=2∗2∗2=8{\displaystyle 2^{3}=2*2*2=8} 33=3∗3∗3=27{\displaystyle 3^{3}=3*3*3=27} 43=4∗4∗4=64{\displaystyle 4^{3}=4*4*4=64} 53=5∗5∗5=125{\displaystyle 5^{3}=5*5*5=125} 63=6∗6∗6=216{\displaystyle 6^{3}=6*6*6=216} 73=7∗7∗7=343{\displaystyle 7^{3}=7*7*7=343} 83=8∗8∗8=512{\displaystyle 8^{3}=8*8*8=512} 93=9∗9∗9=729{\displaystyle 9^{3}=9*9*9=729} 103=10∗10∗10=1000{\displaystyle 10^{3}=10*10*10=1000} Select a number that, when cubed, gives the largest possible result less than the first set of three numbers.  In this example, the first set of three numbers is 10. Find the largest perfect cube that is less than 10. That number is 8, and its cube root is 2. Write the number 2 above the radical bar line, over the number 10. Write the value of 23{\displaystyle 2^{3}}, which is 8, underneath the number 10, draw a line and subtract, just as you would in long division. The result is a 2. After the subtraction, you have the first digit of your solution. You need to decide if this one digit is a precise enough result. In most cases, it will not be. You can check by cubing the single digit and decide if that is close enough to the result you wanted. Here, because 23{\displaystyle 2^{3}} is only 8, not very close to 10,...


Запишите задачу: В уравнении найдите члены с переменной и свободные члены. Перенесите члены с переменной на одну сторону уравнения, а свободные члены – на другую, например, 16х - 5x = 32 – 10. Перенесите подобные члены на одну сторону уравнения (любую, выбранную вами). Далее, перенесите свободные члены на другую сторону уравнения (отличную от той, где находятся члены с переменной).

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A simple linear equation might look like 7x−10=3x−6{\displaystyle 7x-10=3x-6}. Varying terms are numbers like 7x{\displaystyle 7x}, 3x{\displaystyle 3x}, 6y{\displaystyle 6y} or 10z{\displaystyle 10z}, where the number changes depending on what you plug into the variable, or letter. Constant terms are numbers like 10{\displaystyle 10}, 6{\displaystyle 6} or 30{\displaystyle 30}, where the number never changes. Usually, equations won't come with varying terms and constant terms lined up on separate sides. In the example above, the left-hand side (LHS) has both varying and constant terms, as does the right-hand side (RHS). In order to do this, you may have to subtract or add the numbers you want to move from both sides. In the next step, you'll see how to do that in example 1. The equation 16x−5x=32−10{\displaystyle 16x-5x=32-10} does have all the varying terms on one side (LHS), while all the constant terms are on the other side (RHS). It doesn't matter to which side you move the varying terms. In example 1, 7x−10=3x−6{\displaystyle 7x-10=3x-6} can be rearranged by choosing to subtract either 7x{\displaystyle 7x} or 3x{\displaystyle 3x} from both sides. Choosing to subtract 7x{\displaystyle 7x}, you have:(7x−7x)−10=(3x−7x)−6−10=−4x−6{\displaystyle {\begin{aligned}(7x-7x)-10&=(3x-7x)-6\\-10&=-4x-6\end{aligned}}} That is: move the constant terms so that they are on the opposite side of the equation from where the varying terms are. We see that −6{\displaystyle -6} must be subtracted from both sides:−10−(−6)=−4x−6−(−6)−4=−4x{\displaystyle {\begin{aligned}-10-(-6)&=-4x-6-(-6)\\-4&=-4x\end{aligned}}}


Запишите значения выборки. Запишите формулу для вычисления дисперсии выборки. Вычислите среднее значение Вычтите выборочное среднее из каждого значения в выборке. Возведите в квадрат каждый полученный результат. Вычислите сумму квадратов разностей. Полученный результат разделите на n - 1, где n – количество значений в выборке. Отличие дисперсии от стандартного отклонения.

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In most cases, statisticians only have access to a sample, or a subset of the population they're studying. For example, instead of analyzing the population "cost of every car in Germany," a statistician could find the cost of a random sample of a few thousand cars. He can use this sample to get a good estimate of German car costs, but it will likely not match the actual numbers exactly.   Example: Analyzing the number of muffins sold each day at a cafeteria, you sample six days at random and get these results: 38, 37, 36, 28, 18, 14, 12, 11, 10.7, 9.9. This is a sample, not a population, since you don't have data on every single day the cafeteria was open.  If you have every data point in a population, skip down to the method below instead. The variance of a data set tells you how spread out the data points are. The closer the variance is to zero, the more closely the data points are clustered together. When working with sample data sets, use the following formula to calculate variance:   s2{\displaystyle s^{2}} = ∑[(xi{\displaystyle x_{i}} - x̅)2{\displaystyle ^{2}}]/(n - 1)   s2{\displaystyle s^{2}} is the variance. Variance is always measured in squared units.  xi{\displaystyle x_{i}} represents a term in your data set. ∑, meaning "sum," tells you to calculate the following terms for each value of xi{\displaystyle x_{i}}, then add them together. x̅ is the mean of the sample. n is the number of data points. . The symbol x̅ or "x-bar" refers to the mean of a sample. Calculate this as you would any mean: add all the data points together, then divide by the number of data points.   Example: First, add your data points together: 17 + 15 + 23 + 7 + 9 + 13 = 84Next, divide your answer by the number of data points, in this case six: 84 ÷ 6 = 14.Sample mean = x̅ = 14. You can think of the mean as the "centre-point" of the data. If the data clusters around the mean, variance is low. If it is spread out far from the mean, variance is high. Now it's time to calculate xi{\displaystyle x_{i}} - x̅, where...


Запишите известные величины. Запишите формулу теоремы косинусов. Подставьте известные значения в формулу. Найдите косинус известного угла. Перемножьте числа. Сложите квадраты известных сторон. Вычтите два числа. Извлеките квадратный корень из полученного значения.

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To find the missing side length of a triangle, you need to know the lengths of the other two sides, as well as the size of the angle between them. For example, you might have triangle XYZ. Side YX is 5 cm long. Side YZ is 9 cm long. Angle Y is 89 degrees. How long is side XZ? This is also called the law of cosines. The formula is c2=a2+b2−2abcosC{\displaystyle c^{2}=a^{2}+b^{2}-2ab\cos {C}}. In this formula, c{\displaystyle c} equals the missing side length, and cosC{\displaystyle \cos {C}} equals the cosine of the angle opposite the missing side length. The variables a{\displaystyle a} and b{\displaystyle b} are the lengths of the two known sides. The variables a{\displaystyle a} and b{\displaystyle b} are the two known side lengths. The variable C{\displaystyle C} is the known angle, which should be the angle between a{\displaystyle a} and b{\displaystyle b}. For example, since the length of side XZ is missing, this side length will stand for c{\displaystyle c} in the formula. Since sides YX and YZ are known, these two side lengths will be a{\displaystyle a} and b{\displaystyle b}. It doesn’t matter which side is which variable. The variable C{\displaystyle C} is angle Y. So, your formula should look like this: c2=52+92−2(5)(9)cos89{\displaystyle c^{2}=5^{2}+9^{2}-2(5)(9)\cos {89}}. Do this using a calculator’s cosine function. Simply type in the angle measurement, then hit the COS{\displaystyle COS} button. If you don't have a scientific calculator, you can find a cosine table online, such as the one found at the Physics Lab website. You can also simply type in "cosine x degrees" into Google, (substituting the angle for x), and the search engine will give back the calculation. For example, the cosine of 89 is about 0.01745. So, plug this value into your formula: c2=52+92−2(5)(9)(0.01745){\displaystyle c^{2}=5^{2}+9^{2}-2(5)(9)(0.01745)}. You are multiplying 2ab{\displaystyle 2ab} by the known angle’s cosine. For example:c2=52+92−2(5)(9)(0.01745){\displaystyle...


Запишите или скачайте звуковые эффекты и музыку. Импортируйте аудиофайлы в библиотеку, чтобы иметь возможность быстро добавлять звуки и музыку в анимацию. Создайте новый слой для каждого аудиофайла. Создайте ключевой кадр, с которого будет начинаться воспроизведение звука. Добавление аудиофайла. Настройте звуковой файл в соответствии с требованиями анимации. Сохраните созданную анимацию в формате SWF. Эта статья рассказывает об основах создания флеш-анимации, но вы можете делать гораздо больше, например, создавать флеш-кнопки.

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You can add sound effects to actions that occur in your animation to help make it stand out and give it some personality. Music makes your animation more immersive, and can make a good animation into an incredible one. Flash supports a variety of file formats, including AAC, MP3, WAV, and AU. Choose the on that gives you the best quality for the lowest file size. MP3 will typically give you perfectly acceptable sound quality while keeping the file size to a minimum. Avoid WAV files if possible, as these are often quite large. Before you can add sounds to your project, they need to be added to Flash's Library. This will allow you to quickly add them to your project later. Click File → Import → Import to Library. Browse for the sound file on your computer. Make sure that the sound file has an easy to remember name, so you can quickly find it from the menu later. This is not strictly necessary, as you can add sound to existing layers, but putting each file on its own layer will give you much more control over fading in and out, when to start and stop, and it is easier to move sounds around. On the sound's layer, select the frame in the animation that you want the sound to start at. Press F7 to insert a blank keyframe. For example, if you want to include a music file that plays for the duration of the animation, select the first frame on the music file's layer. If you are adding dialog for a character, select the frame where the character begins talking. In the Properties frame, you will see a Sound section. You may need to expand it to see the options. Click the "Name" menu and select the file you want from your Library. Once you've selected a file, you can configure how it will play. What you select will be based on what you need the sound to accomplish in the animation. You can change the Effect, the Sync, and the Repeat settings of each sound using the menu underneath the Name menu in the Properties frame.  Effect - This lets add effects to the sound, such as fading in and out or adding echo. You can select...


Запишите квадратичную функцию в подходящей форме. Запишите квадратичную функцию в стандартном виде. Вспомните каноничный вид квадратичной функции. Убедитесь, что коэффициент при x2{\displaystyle x^{2}} равен 1. Поделите средний коэффициент на 2 и возведите полученный результат в квадрат. Одновременно прибавьте И вычтите необходимый третий член. Запишите полный квадрат в виде степени. Найдите область определения и область значений функции. Поменяйте местами переменные x и y. Перепишите обратную функцию относительно y. Найдите область определения и область значений обратной функции. Проверьте, правильно ли вы нашли обратную функцию.

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In order to begin finding the inverse, you must begin with the equation in the format f(x)=ax2+bx+c{\displaystyle f(x)=ax^{2}+bx+c}. If necessary, you may need to combine similar terms to get the equation into this format. With the equation written this way, you can begin to tell some information about it. The first thing to notice is the value of the coefficient a. If a>0, then the equation defines a parabola whose ends point upward. If a<0, the equation defines a parabola whose ends point downward. Notice that a≠0. If it did, then this would be a linear function and not quadratic. Before you can find the inverse function, you will need to rewrite your equation into the standard format. The standard format for any quadratic function is f(x)=a(x−h)2+k{\displaystyle f(x)=a(x-h)^{2}+k}. The numerical terms a, h and k will be developed as you transform the equation through a process known as completing the square. Notice that this standard format consists of a perfect square term, (x−h)2{\displaystyle (x-h)^{2}}, which is then adjusted by the other two elements a and k. To get to this perfect square form, you will need to create certain conditions in your quadratic equation. Remember that a quadratic function that is a perfect square originates with two binomials of (x+b)(x+b){\displaystyle (x+b)(x+b)}, or (x+b)2{\displaystyle (x+b)^{2}}. When you perform this multiplication, you get a result of x2+2bx+b2{\displaystyle x^{2}+2bx+b^{2}}. Thus, the first term of the quadratic is the first term of the binomial, squared, and the last term of the quadratic is the square of the second term of the binomial. The middle term is comprised of 2 times the product of the two terms, in this case 2∗x∗b{\displaystyle 2*x*b}. To complete the square, you will be working in reverse. You will start with x2{\displaystyle x^{2}} and some second x-term. From the coefficient of that term, which you can define as “2b,” you will need to find b2{\displaystyle b^{2}}. This will require a combination of dividing by two and then squaring...


Запишите квадратичную функцию через координаты вершины параболы. Определите направление параболы. Найдите минимальное или максимальное значение функции. Найдите координаты вершины параболы.

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The standard form of a general quadratic function, which can also be called the vertex form, looks like this:  f(x)=a(x−h)2+k{\displaystyle f(x)=a(x-h)^{2}+k} If your function is already given to you in this form, you just need to recognize the variables a{\displaystyle a}, h{\displaystyle h} and k{\displaystyle k}. If your function begins in the general form f(x)=ax2+bx+c{\displaystyle f(x)=ax^{2}+bx+c}, you will need to complete the square to rewrite it in vertex form. To review how to complete the square, see Complete the Square. Just as with a quadratic function written in its general form, you can tell the direction of the parabola by looking at the coefficient a{\displaystyle a}. If a{\displaystyle a} in this standard form is positive, then the parabola opens upward. If a{\displaystyle a} is negative, then the parabola opens downward. Look at the following examples:  For f(x)=2(x+1)2−4{\displaystyle f(x)=2(x+1)^{2}-4}, a=2{\displaystyle a=2}, which is positive, so the parabola opens upward. For f(x)=−3(x−2)2+2{\displaystyle f(x)=-3(x-2)^{2}+2}, a=−3{\displaystyle a=-3}, which is negative, so the parabola opens downward. If the parabola opens upward, you will be finding its minimum value. If the parabola opens downward, you will find its maximum value. When the function is written in standard form, finding the minimum or maximum value is as simple as stating the value of the variable k{\displaystyle k}. For the two example functions given above, these values are:  For f(x)=2(x+1)2−4{\displaystyle f(x)=2(x+1)^{2}-4}, k=−4{\displaystyle k=-4}. This is the minimum value of the function because this parabola opens upward. For f(x)=−3(x−2)2+2{\displaystyle f(x)=-3(x-2)^{2}+2}, k=2{\displaystyle k=2}. This is the maximum value of the function, because this parabola opens downward. If you are asked for the coordinates of the minimum or maximum value, the point will be (h,k){\displaystyle (h,k)}. Note, however, that in the standard form of the equation, the term inside the parentheses is (x−h){\displaystyle...


Запишите множество координат. Перечислите значения у. Удалите все повторяющиеся значения у. Запишите область значений в порядке возрастания. Убедитесь, что множество координат дано для функции.

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A relation is a set of ordered pairs with of x and y coordinates. You can look at a relation and determine its domain and range. Let's say you're working with the following relation: {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}. To find the range of the relation, simply write down all of the y-coordinates of each ordered pair: {-3, 6, -1, 6, 3}. You'll notice that you have listed "6" two times. Take it out so that you are left with {-3, -1, 6, 3}. Now, reorder the numbers in the set so that you're moving from the smallest to the largest, and you have your range. The range of the relation {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)} is {-3,-1, 3, 6}. You're all done. For a relation to be a function, every time you put in one number of an x coordinate, the y coordinate has to be the same. For example, the relation {(2, 3) (2, 4) (6, 9)} is not a function, because when you put in 2 as an x the first time, you got a 3, but the second time you put in a 2, you got a four. For a relation to be a function, if you put in the same input, you should always get the same output. If you put in a -7, you should get the same y coordinate (whatever it may be) every single time.