Запишите все то, что вы можете делать благодаря своему телу. Смотритесь в зеркало с признательностью. Оставляйте себе приятные записки.

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Human bodies are amazing treasures with infinite uses, abilities, and surprises. Your body does so much for you on a daily basis. Take a moment to write a list of all the incredible functions that you gratefully notice about your body. Perhaps you can use your legs to run a 5k, your fingers to deftly strum the guitar, or your strong arms to swing your kids around. Rather than focusing on what you hate about your body, think about all the things you love. When you look at yourself in the mirror,


Запишите все числа в ряд. Найдите число, которое чаще всего встречается.

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In this case, you're working with the numbers 2, 4, 5, 5, 4, and 5. It can help to order them from least to greatest here too. Think: "Mode is most." In this example, the number 5 occurs the most, so that is the mode. If there are two numbers that occur the most, then that set is "bimodal," and if more than two numbers occur the most, then the set is "multi-modal."


Запишите все числа, среднее взвешенное которых нужно вычислить. Определите вес (или «ценность») каждого числа. Умножьте каждое число (х) на соответствующий весовой коэффициент (w). Сложите полученные значения, чтобы найти среднее взвешенное.

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You’ll need to start by assembling a list of the numbers for which you’d like to find the weighted average. For example, if you’re trying to find a weighted average for a series of grades in a class, first write down each of the grades. For instance, maybe your total grades are 82 for quizzes, 90 on your exam, and 76 on your term paper. Once you have your numbers, you’ll need to know how much each of them weighs, or is worth, as part of your final average. For instance, in your class, the quizze


Запишите все, что вы чувствуете к человеку. Вспомните ваше последнее взаимодействие с человеком. Установите, почему вы испытали конкретное чувство.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Use the Problem Identification, Choices, Consequences (PICC) model to sort through your feelings. The first step is to identify all of the feelings you have about the person. Examples of feelings you might have toward a person might be intrigued, unsure, self-conscious, etc.  Make a list of all the feelings you can identify. Be sure not to categorize these feelings as good or bad, such as in a pros or cons list. Just write them all out. Feelings are not “good or bad”; they all have a purpose. Fo


Запишите все, что вы чувствуете. Подумайте, чего вы хотите добиться этим разговором. Подберите подходящее время для разговора. Начинайте разговор, не имея каких-либо ожиданий. Постарайтесь понять точку зрения родителей.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Trying to explain an issue you're having to your parents can be hard. It can be helpful to write your feelings down ahead of time. This helps you figure out what you want to say, allowing you to have a productive, effective conversation.  To start, just write down what you are feeling. Are you upset over an argument you had with your parents? Do you feel like your parents do not respect or understand you as much as they could? Explain your feelings in detail, and also make note of why you're fee


Запишите выражение. Определите подобные члены (члены с переменной одного порядка, члены с одинаковыми переменными или свободные члены). Приведите подобные члены. Перепишите выражение с учетом приведенных членов. Соблюдайте порядок выполнения операций при приведении подобных членов.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

The simplest algebraic equations, those involving just a few variable terms with whole number coefficients and no fractions, radicals, etc., can often be solved in just a few steps. As with most math problems, the first step to simplifying your equation is to write it out! As an example problem, for the next few steps, let's consider the expression 1 + 2x - 3 + 4x. Next, search your equation for like terms. Remember that like terms have both the same variable(s) and exponent(s). For example, let


Запишите два возможных выражения. Определите размер конечной матрицы. Найдите значение первого элемента. Продолжите вычислять скалярные произведения, чтобы найти каждый элемент конечной матрицы.

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In "ordinary math" with scalar quantities, multiplication is commutative; 2 x 6 = 6 x 2. This is not true for matrices, so you may need to solve two problems:  [A] * [B]-1 is the solution x for the problem x[B] = [A]. [B]-1 * [A] is the solution x for the problem [B]x = [A]. If this is part of an equation, make sure you are performing the same operation on both sides. If [A] = [C], then [B]-1[A] does not equal [C][B]-1, because the [B]-1 is on the left side of [A] but the right side of [C]. The


Запишите двоичное число. Начиная слева, удвойте ваш предыдущий итог и добавьте текущую цифру. Удвойте ваш текущий итог и добавьте следующую цифру слева. Повторите предыдущий шаг. Снова повторите предыдущий шаг. Снова повторите предыдущий шаг. Снова повторите ваш предыдущий шаг. Продолжайте удваивать ваш текущий итог и добавлять следующую цифру, пока цифры не закончатся. Запишите ответ вместе с основанием системы счисления (нижним индексом). Используйте данный метод для преобразования из любого основания в десятичное.

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This method does not use powers. As such, it is simpler for converting large numbers in your head because you only need to keep track of a subtotal. The first thing you need to do is to write down the binary number you'll be converting using the doubling method. Let's say the number you're working with is 10110012. Write it down. Since you're working with the binary number 10110012, your first digit all the way on the left is 1. Your previous total is 0 since you haven't started yet. You'll have


Запишите двоичные числа друг под другом так, как вы записываете десятичные числа при их вычитании. Если значность чисел разная, к числу с меньшей значностью слева припишите соответствующее количество 0. В вычитаемом числе поменяйте цифры: К полученному вычитаемому прибавьте 1. Теперь вместо вычитания сложите два двоичных числа. В полученном результате игнорируйте любую цифру, стоящую первой слева (так как вы получили число не той значности). Попробуйте применить этот метод к десятичным числам.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

This method is used by computers to subtract binary numbers, since it uses a more efficient program. For a human used to ordinary decimal subtraction problems, this is probably the more difficult method to use, but could be useful to understand as a programmer. We'll use the example 101 - 11 = ? For example, convert 101-11 to 101-011 so that both have three digits. 101 - 011 = ? Change all the 0s to 1s and all the 1s to 0s in the second term. In our example, the second term becomes: 011 → 100. W


Запишите двоичные числа друг под другом — меньшее число под большим. Некоторые задачи на вычитание двоичных чисел ничем не отличаются от вычитания десятичных чисел. Рассмотрим более сложную задачу. В первом столбце справа вы получаете разность 0 - 1. Вычтите цифры в правом столбце. Вычтите цифры в оставшихся столбцах. Решите сложную задачу. Проверьте ответ.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Write the larger number above the smaller number. If the smaller number has fewer digits, line them up on the right, as you would in a decimal (base ten) subtraction problem. Some binary subtraction problems are no different than base ten subtraction. Line up the columns and, starting from the right, find the result for each digit. Here are a few easy examples:  1 - 0 = 1 11 - 10 = 1 1011 - 10 = 1001 You only need to know one special "rule" to complete any binary subtraction problem. This rule t


Запишите двузначные числа друг под другом. Единицы второго (нижнего) числа умножьте на единицы первого (верхнего) числа. Теперь единицы второго (нижнего) числа умножьте на десятки первого (верхнего) числа. Напишите нуль. Десятки второго (нижнего) числа умножьте на единицы первого (верхнего) числа. Десятки второго (нижнего) числа умножьте на десятки первого (верхнего) числа. Сложите оба результата, чтобы получить окончательный ответ.

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Place 1 of the double-digit numbers on top and the other double-digit number directly below it. While there's no right or wrong way to place the numbers, if you have a double-digit that ends with a zero such as 40, place it on the bottom, and put any number with more (nonzero) digits on top. This will let you skip a calculation. For example, if you're multiplying 22 by 43, you can put either number on the top or bottom. For the moment, don't worry about the bottom tens number. Just use the botto


Запишите делимое и делитель так, как вы записываете обычные числа при их делении в столбик. Разделите первый член делимого на первый член делителя. Умножьте результат из предыдущего шага (х) на делитель. Вычтите результат (из предыдущего шага) из делимого. Повторите предыдущие три шага с промежуточным двучленом (полученным в предыдущем шаге).

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You write out the long division of polynomials the same as you do for dividing numbers. The dividend goes under the long division bar, while the divisor goes to the left. If you’re dividing x2 + 11 x + 10 by x +1, x2 + 11 x + 10 goes under the bar, while x + 1 goes to the left. The result of this division goes on top of the division bar. For our example, dividing x2, the first term of the dividend, by x, the first term of the divisor yields x. You would write an x on the top of the division bar,


Запишите делимое слева, а делитель справа. Под делителем напишите нуль и поставьте после него запятую, так как результат деления числителя на знаменатель обыкновенной дроби всегда меньше 1. Выполните деление в столбик Запишите ответ:

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Let's say we're working with the problem 3/4. Simply write a "4" outside the division bar with a "3" on the inside. The "4" is your divisor, and the "3" is your dividend. Since you're working with a fraction, you know that your answer will be less than one, so this first step is necessary. After you do this, you'll need to place a decimal after the 3 under the division bracket and write an additional zero after it. Though 3 and "3.0" are the same, adding the extra zero will allow you to divide 4


Запишите дробь. Используйте один знак корня. Разделите подкоренные выражение. Упростите

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If your expression is not already set up like a fraction, rewrite it this way. This makes it easier to follow all the necessary steps when dividing by a square root. Remember that a fraction bar is also a division bar. For example, if you are calculating 144÷36{\displaystyle {\sqrt {144}}\div {\sqrt {36}}}, rewrite the problem like this: 14436{\displaystyle {\frac {\sqrt {144}}{\sqrt {36}}}}. If your problem has a square root in the numerator and denominator, you can place both radicands under o


Запишите заданное целое число вверху страницы. Найдите два числа (помимо 1), при перемножении которых получается заданное число. Поищите простые множители. Продолжайте раскладывать составные (не простые) числа на множители. Представьте каждый простой множитель в степенной форме. Запишите разложение числа на простые множители.

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You need to leave enough room so that you can set up a factor tree below it. You can use other methods to factor a number. Read Factor a Number for more instructions. For example, if you want to know many divisors, or factors, the number 24 has, write 24{\displaystyle 24} at the top of the page. These are two divisors, or factors, of the number. Draw a split branch coming down from the original number, and write the two factors below it. For example, 12 and 2 are factors of 24, so draw a split b


Запишите задачу в формате деления в столбик. Посмотрите на первые две цифры делимого и подумайте, делится ли это число на делитель. Предположите, сколько раз делитель (в нашем случае 15) может уложиться в делимое (в нашем случае 34), и запишите свое предположение. Запишите найденное число. Умножьте предложенное вами число (2) на делитель (в нашем случае 15) и запишите результат под делимым. Вычтите результат умножения из делимого и запишите результат вычитания на следующей (новой) строке. Спустите вниз следующую цифру исходного делимого (так, как вы это делаете при делении в столбик). Чтобы получить следующую цифру частного, повторите шаги, описанные выше (начните с предположения числа). Повторяйте процесс предположение – умножение – вычитание до тех пор, пока не получите в остатке нуль или промежуточный итог меньше делителя. Спустите следующую цифру исходного делимого и повторите описанный процесс. Найдите остаток.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Write the problem as a long-division problem. Just like a simpler division problem, you can start by looking at the smaller number, and asking "Does it fit into the first digit of the larger number?" Let's say you're solving 3472 ÷ 15. Ask "Does 15 fit into 3?" Since 15 is definitely larger than 3, the answer is "no," and we move on to the next step. Since you can't fit a two-digit number into a one-digit number, we'll look at the first two digits of the dividend instead, just like we would in a


Запишите задачу на деление. Превратите целое число в десятичную дробь. Переместите десятичную запятую вправо так, чтобы десятичные дроби превратились в целые числа. Перепишите задачу в виде деления в столбик.

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Use pencil in case you want to revise your work.  Example: What is 3 ÷ 1.2? Write a decimal point after the whole number, than write zeroes after the decimal point. Do this until both numbers have the same number of places to the right of the decimal point. This does not change the value of the whole number.   Example: In the problem 3 ÷ 1.2, our whole number is 3. Since 1.2 has one place to the right of the decimal point, rewrite 3 as 3.0, so it also has one place after the decimal. Now our pro


Запишите задачу с корнем, как задачу деления столбиком. Сгруппируйте цифры по парам. Найдите наибольшее число, квадрат которого меньше или равен первой «группе». Удвойте только что написанное число, затем опустите его под корень и отнимите. Заполните пробел. Продолжайте использовать «пустые» числа, чтобы найти ответ. Передвиньте точку десятичной дроби вперед от изначального «делимого» числа.

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Though it can be a little time-consuming, it's possible to solve for the square roots of difficult imperfect squares without a calculator. To do this, we'll use a solving method (or algorithm) that's similar — but not exactly the same — as basic long division.  Start by writing out your square root problem in the same from as a long division problem. For example, let's say that we want to find the square root of 6.45, which is definitely not a convenient perfect square. First, we'd write an ordi


Запишите задачу. Вычтите подобные члены. Запишите окончательный ответ.

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Let's say you're working with the following problem: 3x2 - 5x + 2y - z - (2x2 + 2x + y). Write the first set of terms above the second. When you're working with variables, you can only add or subtract terms that have the same variable and which are written to the same degree. This means that you can subtract 4x2 from 7x2, for example, but not 4x from 4y. This means that you can break the problem down like this:  3x2 - 2x2 = x2  -5x - 2x = -7x 2y - y = y -z - 0 = -z Now that you've subtracted all


Запишите задачу. Преобразуйте целое число в дробь со знаменателем, равным знаменателю вычитаемой дроби. Перепишите задачу. Вычтите числители двух дробей. Запишите результат вычитания числителей над прежним знаменателем, чтобы получить окончательный ответ.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Let's say you're working with the following problem: 5 - 3/4. Write it down. You'll want to convert the number 5 into a fraction with the denominator of 4 in order to subtract the two numbers. So, you can first think of 5 as a fraction that is really 5/1. Then, you can multiply both the top and bottom of the new fraction by 4 in order to create two fractions with the same denominator. So, 5/1 x 4/4 = 20/4. This fraction is really equal to 5, but it allows you to subtract two fractions. The new p


Запишите задачу. Разложите меньшее число на десятки и единицы. Умножьте большее число на десятки меньшего числа. Умножьте большее число на единицы меньшего числа. Сложите два полученных результата.

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Let's say you're multiplying 325 times 12. Write it down. One number should be right next to the other, not below it. Keep 325 and split up 12 into 10 and 2. The 1 is in the tens digit, so you should add a 0 afterward to keep its place, and since the 2 is in the ones place, you can just write down 2. Now, multiply 325 times 10. All you have to do is add a zero to the end to equal 3250. Now, just multiply 325 by 2. You can eyeball it and see that the answer is 650, since 300 times 2 is 600 and 25


Запишите задачу. Сложите все значения (переменные и числа). Вычтите сумму из 180°. Найдите х. Проверьте ответ.

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Sometimes, instead being lucky enough to know the measurements of two of the angles of a triangle, you'll only be given a few variables, or some variables and an angle measurement. Let's say you're working with this problem: Find the measurements of angle "x" of the triangle whose measurements are "x," "2x," and 24. First, just write it down. It's the same principle that you would follow if you did know the measurements of the two angles. Simply add up the measurements of the angles, combining t


Запишите задачу. Целое число умножьте на числитель. Полученный результат разделите на знаменатель.

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If the problem you are working with is a word problem, first you need to write out all of the numbers involved in the calculation. If you were given the numbers written out already, you can skip this step.  For example: What is one-third of seven? When you see “of” written between two numbers in a word problem, think of it as meaning multiply. Thus, one-third of seven actually means one-third multiplied by seven. Writing out the problem gives you (1/3) x 7. When working with whole numbers, you w


Запишите закон Рауля. Определите, какое вещество будет растворителем, а какое – растворенным веществом. Найдите температуру раствора, так как она будет влиять на давление его пара. Найдите давление паров растворителя. Найдите мольную долю растворителя. Теперь подставьте данные и найденные значения величин в уравнение Рауля, приведенное в начале этого раздела (Pраствор = PрастворительXрастворитель).

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In real life, it's rare to work with a single pure liquid — usually, we deal with liquids that are mixtures of several different component substances. Some of the most common of these mixtures are created by dissolving a small amount of a certain chemical called a solute in a large amount of a chemical called a solvent to create a solution. In these cases, it's useful to know an equation called Raoult's Law (named for physicist François-Marie Raoult), which looks like this: Psolution=PsolventXso


Запишите и отрепетируйте. Продумайте вступление. Говорите спокойно, придавая значение каждому слову. Составьте список положительных моментов. Оставьте разговор открытым.

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You should approach this conversation almost like you are preparing to give an important speech. You want to write out how you want the conversation to go. Visualize it going well. Practice saying all your reasons out loud to yourself in the mirror or to a friend. You want to get your parent's full attention as you convince them to help you in switching schools.  Say something like, “Hey, Mom and Dad! Can we all sit down at the table together? I have something I’d like to talk about with you, an


Запишите известные величины. Запишите формулу теоремы косинусов. Найдите значения a{\displaystyle a}, b{\displaystyle b} и c{\displaystyle c}. Перемножьте числа. Возведите c{\displaystyle c} в квадрат. Сложите квадраты a{\displaystyle a} и b{\displaystyle b}. Изолируйте косинус неизвестного угла. Вычислите арккосинус.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

To find the missing angle of a triangle using the cosine rule, you need to know the length of all three sides of the triangle. For example, you might have triangle RST. Side SR is 8 cm long. Side ST is 10 cm long. Side RT is 12 cm long. What is the measurement of angle S? The formula is c2=a2+b2−2abcosC{\displaystyle c^{2}=a^{2}+b^{2}-2ab\cos {C}}. In this formula, cosC{\displaystyle \cos {C}} equals the cosine of the angle you are trying to find. The variable c{\displaystyle c} equals the sid


Запишите исходную дробь. Запишите множители и числителя, и знаменателя. Вычислите наибольший общий делитель (НОД) и разделите на него дробь.

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Leave a large space to the right hand side of your paper -- you'll need it to write out the factors. Keep them in separate lists. It may be easiest if the lists line up on top of each other. Start with 1 and work your way up, listing them in pairs.  For example, if your fraction is 24/60, start off with 24.You'd write: 24 -- 1, 2, 3, 4, 6, 8, 12, 24  Then, move onto 60.You'd write: 60 -- 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 This may be referred to as the GCF in your textbook. What's the bigg


Запишите каноническое уравнение гиперболы. Приравняйте каноническое уравнение к нулю (а не к единице). Разложите на множители новое уравнение. Приравняйте каждый двучлен (то есть выражение внутри каждой пары скобок) к нулю и вычислите «y». Выполните описанные действия с гиперболой, уравнение которой отличается от канонического.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

We'll start with a simple example: a hyperbola with the center of its origin. For these hyperbolas, the standard form of the equation is x2/a2 - y2/b2 = 1 for hyperbolas that extend right and left, or y2/b2 - x2/a2 = 1 for hyperbolas that extend up and down. Remember, x and y are variables, while a and b are constants (ordinary numbers).   Example 1: x2/9 - y2/16 = 1  Some textbooks and teachers switch the position of a and b in these equations. Follow the equation closely so you understand what


Запишите кошку на прием к ветеринару. Обратите внимание на поведенческие симптомы слепоты. Осмотрите глаза кошки на предмет слепоты.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

If you suspect that your cat has gone blind or is losing her sight, schedule an appointment with your cat's veterinarian right away. Some types of blindness are reversible if they are treated right away. For example, if your cat is suffering from blindness caused by hypertension, a daily medication may restore her sight and prevent further health problems as well. Make sure that your cat gets regular check-ups with a veterinarian even if she seems healthy. Early diagnosis and treatment of a prob


Запишите краткий план, чтобы запомнить ключевые моменты. Сделайте карточки, если нужно запомнить цитаты. Создайте схему главных идей сочинения, если вы лучше запоминаете визуальные информацию.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Write an outline of the essay's main ideas, concepts, and arguments. Make sure you only include the most important information, and organize it in the correct order. You might memorize the outline instead of the entire essay. If you need to recall quotes from literary or academic essays, write the quotes on flash cards. Memorize the quotes 1 at a time. Make sure you also learn the author, year, and any other information that may be tested. Sketch out a flowchart or map of the main ideas of the e


Запишите лекцию на диктофон и прослушивайте запись дома или в пути. Делайте пометки в тетради во время лекции. Перечитывайте конспекты каждый день. Перенесите пометки, сделанные на занятии, в отдельную тетрадь для конспектов. Повторите пройденный за неделю материал в выходные. Организуйте свои пометки. Используйте карточки. Учитесь с помощью гаджетов.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Ask your instructor's permission before recording any part of your class sessions. With his or her permission, use an audio recording device during class. If you're using a digital recorder, convert the file into an mp3 and listen to your lecture while you're commuting or working out in the morning. Write down important ideas, concepts, names, and dates, rather than trying to take down every single word your instructor is saying. This should be done immediately after class, if possible. If you c


Запишите линейное уравнение. Перепишите уравнение в виде линейного уравнения. Сравните угловые коэффициенты.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

The formula of a line in slope-intercept form is y = mx + b, where m is the slope, b is the y-intercept, and x and y are variables that represent coordinates on the line; generally, you will see them remain as x and y in the equation. In this form, you can easily determine the slope of the line as the variable "m". For example. Rewrite 4y - 12x = 20 and y = 3x -1. The equation 4y - 12x = 20 needs to be rewritten with algebra while y = 3x -1 is already in slope-intercept form and does not need to


Запишите людей, которых вы хотите включить в генеалогическое дерево. Заполните пустые места, проведя некоторые исследования. Решите, какую информацию вы хотите выдвинуть на первый план. Решите, включать ли фотографии.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

A family tree begins with you, and branches out from there. Start by writing down the names of people in your immediate family, then move to your parents' generation. Make sure you don't leave anyone out! Your family tree will be an important piece of family history, so take time to create an accurate diagram.  Write down your name, your siblings' names, and your parents' names. Write down your grandparents' names, your aunts' and uncles' names and your cousins' names. Write down your great gran


Запишите матрицу размерностью 3 x 3. Выберите строку или столбец матрицы. Зачеркните строку или столбец с первым элементом. Найдите определитель матрицы 2 x 2. Умножьте полученный ответ на выбранный элемент матрицы M. Определите знак полученного результата. Повторите все вышеописанные действия со вторым элементом опорной строки (или столбца). Повторите с третьим элементом. Сложите полученные результаты.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

We'll start with a 3 x 3 matrix A, and try to find its determinant |A|. Here's the general matrix notation we'll be using, and our example matrix: M=(a11a12a13a21a22a23a31a32a33)=(153247462){\displaystyle M={\begin{pmatrix}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}\end{pmatrix}}={\begin{pmatrix}1&5&3\\2&4&7\\4&6&2\end{pmatrix}}} This will be your reference row or column. You'll get the same answer no matter which one you choose. For now, just pick the first row. Later, we'l


Запишите множители числителя и множители знаменателя. Вычислите наибольший общий делитель (НОД) числителя и знаменателя. Разделите числитель и знаменатель на наибольший общий делитель. Проверьте полученный результат.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Factors are numbers that you multiply together to get another number. For example, 3 and 4 are both factors of 12, because you can multiply them together to get 12. To list the factors of a number, you simply have to list all of the numbers that can be multiplied to get that number, and which therefore can be evenly divided into that number. List the factors of that number from smallest to largest, not forgetting to include 1 or that number. For example, this is how you would list the factors of


Запишите начальное и конечное значения. Найдите разницу между начальным и конечным значениями. Полученный результат разделите на начальное значение. Полученный результат умножьте на 100.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

For example, let's say your auto insurance premium just went up. Write down these values:  Your car insurance premium was $400 before the increase. This is the starting value. After the increase, it costs $450. This is the end value. Subtract the starting value from the end value to find the out how much it increased. We're still working with ordinary numbers at this point, not percentages. In our example, $450 - $400 = a $50 increase. A percentage is just a special kind of fraction. For example


Запишите начальное и конечное значения. Разделите конечное значение на начальное значение. Полученный результат умножьте на 100. Из полученного результата вычтите 100.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Let's start with a new example. The world population went from 5,300,000,00 people in 1990 to 7,400,000,000 in 2015. There's a trick to these problems with many zeroes. Instead of counting the zeroes each step of the way, we can rewrite these as 5.3 billion and 7.4 billion. This will tell us how much bigger the end result is than the original.  7.4 billion ÷ 5.3 billion = about 1.4. We've rounded to two significant digits because that's how many there were in the original problem. This will tell


Запишите начальную цену и процент скидки. Обратите внимание на процент скидки. Преобразуйте найденный процент в десятичную дробь. Умножьте начальную цену на десятичную дробь. Вычислите размер скидки.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

The original price is usually the big number that retailers will mark through or make especially large so you know how good of a “deal” you’re getting. Be sure to also pay attention to whether the discounted percentage applies to a single item or the total. This trick lets you perform 1 calculation instead of 2! The opposite of a percent is 100% minus the percent you are working with, i.e. the amount of the item you are still paying for. If you want to buy a shirt that is 30% off, the opposite o


Запишите основную причину, по которой вы хотите перейти в другую школу. Отметьте дату, когда вы хотите перейти в новую школу. Выберите школу, в которую вы хотите перейти. Запишите положительные причины перехода в другую школу.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Before you can make a good argument with your parents, you need to understand why you really want to change schools. You need to be able to state this reason clearly. Some reasons you might want to change schools include:   You’ve been dealing with  bullying, and you don’t think it’s going to get better or you don’t feel comfortable staying around those people. Before asking your parents make sure your certain you'd like to switch (writing pros and cons may help). If you know this school will co


Запишите основные идеи и подсказки на карточках. Выражайте уверенность при помощи зрительного контакта, жестов и осанки. Тренируйтесь произносить речь перед зеркалом или другом. Старайтесь уложиться в отведенное время.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Memorizing the introduction, key points, and conclusion word-for-word is wise. However, unless your teacher requires it, don’t feel like you have to memorize the entire speech verbatim. Reciting a completely memorized speech can feel stiff, so just commit the content to memory well enough that you can explain your ideas clearly and consistently.  While it’s generally okay to use slightly different phrasing, try to stick to your complete outline as best you can. If you veer off too much or insert


Запишите основные события в хронологическом порядке. Решите, кто будет основными действующими лицами. Запишите лучшие моменты. Пишите так, как это сделали бы только вы. Рассказывайте о себе откровенно. Опишите дух времени.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Start writing your autobiography by conducting research on your own life. Creating a timeline of your life is a good way to make sure you include all the most important dates and events, and it gives you a structure to build upon. You can consider this the "brainstorming" phase, so don't hesitate to write down everything you can remember, even if you don't think the memory will make it into the final version of the book.  Your autobiography doesn't have to begin with your birth. You may want to


Запишите основные тезисы. Выберите подходящее время. Не осуждайте. Задавайте вопросы. Внимательно слушайте.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Maybe you have recently discovered that your husband looks at porn. Or perhaps this has been an ongoing issue in your relationship. Either way, its time to have an honest conversation about your feelings.  Prepare to have an open conversation about the problem. Your first step is to figure out your feelings. Ask yourself why you object to his watching porn. Is it a religious issue for you? Or is it against your moral code? Choose some words that describe how you are feeling. Be descriptive with


Запишите остаток. Если вы не хотите записывать ответ с остатком, то можно найти ответ в виде десятичной дроби. Теперь у вас есть цифры (только нули), которые можно опускать и тем самым продолжать вычисления. Остановитесь и округлите ответ. В ответе укажите единицы измерения (метры, граммы, градусы и так далее).

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Depending on what you're using this division for, you may want to finish up with a quotient that's a whole number, with a remainder, i.e. an indication of how much is left over after you've completed your division.  In the example, the remainder would be 4, because 6 cannot go into four, and there are no more digits to bring down. Place your remainder after the quotient with a letter "r" before it. In the example, the answer would be expressed as "41 r4." You would stop here if you were trying t


Запишите отличительные физические черты, свойственные представителям этой расы. Опишите верования вашей расы. Идентифицируйте сильные и слабые стороны расы. Идентифицируйте остальные расы. Объясните историю расы.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Do they commonly have bright green skin or hazel eyes? Are there reasons behind these physical traits? Be creative. This is your race and your creation, so you have complete control - maybe add on a tail or extra arms if that is what you want. There are no limits to what you could create! Choose a theme: Is your race an elegant, peaceful race, or are they brutal monsters? This doesn't have to be religious beliefs. Do they have free or strict gender roles? Do they believe their rulers are the des


Запишите первые две цифры значения емкости. Воспользуйтесь третьей цифрой в качестве множитель нуля. Определите единицы измерения Определите значение допуска керамических конденсаторов. Определите значение допуска, когда маркировка имеет вид «буква-цифра-буква». Определите значение напряжения Интерпретация других маркировок.

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Older capacitors are less predictable, but almost all modern examples use the EIA standard code when the capacitor is too small to write out the capacitance in full. To start, write down the first two digits, then decide what to do next based on your code:  If your code starts with exactly two digits followed by a letter (e.g. 44M), the first two digits are the full capacitance code. Skip down to finding units. If one of the first two characters is a letter, skip down to letter systems. If the f


Запишите пример. Для дробных функций с переменной в знаменателе надо приравнять знаменатель к нулю. Запишите область определения:

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Let's say you're working with the following problem: f(x) = 2x/(x2 - 4) When finding the domain of a fractional function, you must exclude all the x-values that make the denominator equal to zero, because you can never divide by zero. So, write the denominator as an equation and set it equal to 0. Here's how you do it:  f(x) = 2x/(x2 - 4) x2 - 4 = 0 (x - 2 )(x + 2) = 0 x ≠ (2, - 2) Here's how you do it: x = all real numbers except 2 and -2


Запишите пример. Задайте подкоренное выражение больше или равным 0. Выделите переменную. Запишите область определения. Найдите область определения функции с корнем, когда есть несколько решений.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Let's say you're working with the following problem: Y =√(x-7) You cannot take the square root of a negative number, though you can take the square root of 0. So, set the terms inside the radicand to be greater than or equal to 0. Note that this applies not just to square roots, but to all even-numbered roots. It does not, however, apply to odd-numbered roots, because it is perfectly fine to have negatives under odd roots. Here's how: x-7 ≧ 0 Now, to isolate x on the left side of the equation, j


Запишите пример. Сложите цифры в правой колонке. Перенесите десятку влево. Сложите следующую колонку цифр. Повторяйте до конца строчки. Запишите ответ.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

For this method, you'll need to write out the problem as any other addition problem. Write the number twice, placing a plus sign in between.  Example: Find the double of 357. Write the problem as you would write out any other addition problem: 357 + 357 Add the right-hand digits of both written values together. Essentially, you are simply doubling the right-hand digit.  Example: For 357 + 357, the number on the right is 7. 7 + 7 = 14 If the sum of the right-hand digits is 10 or greater, you will


Запишите причины, по которым родители могут отказать вам. Попробуйте самостоятельно решить эти проблемы. Найдите информацию о правильном уходе за кошкой. Найдите способы выделить время для своего питомца. Заранее отрепетируйте фразы, которые собираетесь сказать родителям.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

" Think about why your parents may not want you to get a cat. Extra cost and responsibility may be concerns. If you can find solutions to problems, you can get a "Yes" answer.  Parents may worry about a cat clawing at furniture or making messes. Your parents may also worry about cost. A new animal needs new toys, bedding, and so on. Your parents are likely very busy, so they may worry about caring for the animal. Pets need a lot of time and attention. One of them may be allergic to cats. Don't l


Запишите простые множители для числителя и для знаменателя. Запишите исходное число как перемножение простых чисел. Избавьтесь от одинаковых множителей.

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A "prime" number is a number that cannot be divided by any other number and stay whole (apart from itself and 1, of course). 2, 3, 5, 7, and 11 are examples of prime numbers.  Start with the numerator. From 24, branch off into 2 and 12. Since 2 is a prime number already, you're done with that branch! Then take 12 into two more numbers: 2 and 6. 2 is a prime number -- great! Now divide 6 into two numbers: 2 and 3. You now have 2, 2, 2, and 3 as your prime numbers. Move onto the denominator. From


Запишите разряд каждой цифры двоичного числа. Умножьте каждую цифру двоичного числа на соответствующий разряд. Сложите полученные результаты.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

When you learned decimal counting, you learned about the "place values": the ones place, tens place, and so on. Since binary has two symbols, the place values multiply by two each time you move to the left:   1 is the ones place  10 is the twos place  100 is the fours place  1000 is the eights place Start with the ones place on the far right, and multiply that digit (0 or 1) by one. On a separate line, move to the twos place, and multiply that digit by two. Repeat this pattern until you've multi


Запишите свое определение голода. Ешьте сидя. Ешьте не спеша.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

It can be difficult to maintain small portions or not snack when you feel hungry.  However, it's also important to understand and define what true physical hunger is.  You may feel "hungry" when you're bored, stressed or angry and be tempted to eat.  Physical hunger comes on gradually.  In addition your stomach may feel empty or growl or make noises.  Physical hunger also goes away after even a small portion of food.  If it's been several hours since your last meal or snack, you may be physicall


Запишите свои идеи. Придумайте тему для игры. Разработайте сначала механику игры (как альтернативный вариант). Определитесь с возрастными рамками игры. Определите количество игроков, игровое время и предельные размеры своей игры. Решите, каким образом будет определяться победа в игре. Запишите основные правила игры.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

You never know when the perfect inspiration is going to hit. You may find that combining two different ideas makes a neat new game concept. Keep a log of ideas in a notebook, on your computer, or in a note taking app on your phone.  It might be particularly useful for you to keep your note-taking tools handy when you’re at game night. Playing games might spark the perfect idea for your own game. When using store-bought games for inspiration, ask yourself, “What would I do to improve this game?”


Запишите свои качества, которыми вы гордитесь. Записывайте цели. Помогайте другим. Позвольте себе жить дальше. Создавайте новую реальность без бывшего парня.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

This will help you to focus on the positive rather than the negative. You’ll also notice which of your strengths you value, rather than what someone else does or doesn't like about you. Once your viewpoint is no longer clouded by negativity you'll be able to uncover your true self.  Were you always proud of your ability to write thoughtful poems, but he didn't appreciate you for it? Put this one at the top of your list. Alternately make a list of obstacles you’ve overcome and hardships you’ve pe


Запишите свои мысли. Проявляйте эмпатию. Откажитесь от любых ожиданий. Говорите за себя. Выслушайте точку зрения человека.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

If you're unable to get over a disappointment, it's important you talk things out with the other person. Having a conversation about how someone hurt or disappointed you can be stressful. You should try writing your emotions out ahead of time. This way, you'll have your thoughts somewhat organized going into the conversation.  Try to write down what you're feeling. After spilling your thoughts out onto the page, consider how you can best articulate them. Reword your thoughts a bit, trying to phr


Запишите свои мысли. Решите, с кем вы хотите поделиться. Решите, насколько подробным будет рассказ. Соберите информацию для друзей. Скажите, какую помощь вы желаете получить. Уясните, что вы не надоедаете друзьям.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Since telling your friends about anxiety may cause you anxiety, you should help yourself by getting your thoughts together beforehand. If you get anxious and upset while talking to your friends, you may not be able to get words out. Make a list of points you want to make, things you want to say, or ideas you want to address when you talk to your friends. After you write down your thoughts, you should start a new list. Carefully decide who you want to tell about your anxiety disorder. Consider wh


Запишите свои мысли. Теперь воплотите ожидания в жизнь. Используйте «Я-утверждения», они помогут уменьшить вину. Попросите извинений.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Sometimes, letting someone know why and how they hurt you can make you feel like you got back at them. If possible, let your ex know you want to talk.  A productive confrontation may make you feel better. Prior to the conversation, try to write down your thoughts.  Write down how you feel and why. Try to find the best way to articulate how you were hurt. Focus on what you expect to get out of the situation. Do you want an apology? Do you want your ex to understand how he hurt you and feel bad? E


Запишите свои негативные качества. Определите свои основные ценности. Ваше самоопределение должно быть позитивным.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Recording them and paying attention to them will help you let go of them. Getting them out in the open can help to take away some of their hold on your mind and self. Don't limit yourself in negative ways. Definition of the self determines the action. So, for instance, if you're defining yourself as someone who has bad romantic relationships, you've already lost the potential for a good romantic relationship. It is a story that you tell yourself, and then because you believe the story, you will


Запишите свои оценки. Рядом с каждым предметом запишите полученную числовую оценку. Запишите, сколько времени (в неделю) отводилось на каждый предмет. Вычислите, сколько баллов вы получили за каждый предмет. Вычислите среднюю оценку (GPA) за семестр.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Write down a list of what classes you took during the term. Next to each class, write down the grade you earned. Don't worry about writing down a percentage, just note the letter grade that you got. For example, your list may look something like this:  Biology: B Calculus: A History: A Spanish: C Use your school's grading scale to determine how many points each letter grade earns. The scale should be available from the registrar or the registrar’s website. Be sure to take into account any pluses


Запишите свои сильные стороны, достижения, и все то, что вам в себе нравится. Заботьтесь о себе. Займитесь тем, что вам нравится делать. Устанавливайте перед собой новые цели и задачи. Проводите время с людьми, которые вызывают у вас положительные чувства и заставляют гордиться собой. Подумайте о том, за что вы благодарны. Учитесь всегда чувствовать себя важным.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Grab a pen and paper and start making three detailed lists about yourself.  Make one list each for your strengths, achievements, and things that you value about yourself.  This will help you focus on the positive aspects about yourself.  You can also read the lists anytime for a quick self-esteem boost.  Have a friend or family member help you. Read over your lists regularly to help remind you of how important you are. Remind yourself that you are valued and important by taking excellent care of


Запишите свой отзыв. Резюмируйте суть речи. В своем отзыве сосредоточьтесь на содержании выступления. Всегда нужно находить повод  для похвалы. Постарайтесь основать свой отзыв на пересмотре выступления. Постарайтесь указывать не более трех советов для усовершенствования речи.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Whatever the occasion and the reason you're giving feedback, for school or informally, it's better to write down your criticisms, praise, and comments, so the speaker will have some document of your feedback. If you have some suggestions, it'll be too easy for the speaker to forget, especially immediately following the speech. It's best to write a short note, no more than 250 or 300 words, to accompany your evaluation of the speech. For some speech classes, you may have to fill out a rubric or a


Запишите свою мысль (мысли). Представьте себе эту ситуацию. Теперь поставьте эту мысль на паузу! Тренируйтесь.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Your thoughts are distracting you from your daily activities and causing you unhappiness, anxiety or worry, so the first thing you must do is put them on paper.  Write down all your upsetting thoughts in order of the most stressful to the least stressful.  For example, if you keep thinking you might lose your job, your list could look something like this:  1. How will I be able to pay my bills and take care of my child?  2. What if I can't find a new job?  3. I'll be so embarrassed if I'm escort


Запишите свою проблему. Поговорите о проблеме. Примите свои чувства. Обратитесь к психологу.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Put your problem on paper with pen. This will help the problem seem more tangible and will make you more likely to try to solve it when it is written down and staring you in the face.  For example, if your problem is that you don't have enough money, you could write that down. You could also write down the implications of that problem to drive home the point and motivate you to solve it. An implication of not having enough money might be that you are stressed out and that you can't enjoy the kin


Запишите свою речь. Отрепетируйте свою речь. Решите, кому сказать об этом в первую очередь. Выберите подходящее время. Проанализируйте свои чувства. Поставьте точку. Скажите родителям, что вы готовы встречаться с парнем. Будьте готовы вести переговоры. Расскажите о вашем парне. Не пытайтесь утаивать информацию.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

If you're afraid you'll get flustered, it's perfectly fine to write out what you think you'll say. This can help you process what you want to say so that you can present your new relationship in the best way possible. That way, when the time comes, you'll be able to get it out without stopping. As you write out what you might say, you may try to anticipate your parents' responses. That way you can answer their concerns as you tell them about your boyfriend. It's normal to feel apprehensive about


Запишите себя на диктофон. Читайте вслух. Слушайте подкасты, радио и новости. Слушайте музыку. Смотрите телевидение и фильмы. Думайте вслух.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

When you're by your lonesome, you have no reason to be nervous. You can let your brain flow freely -- so record yourself now! Your English is going to be at its best. Find a book on tape or a clip online that you can mimic. Does your English sound the same? Or record yourself reading from a book. You'll be able to actually hear yourself (which we surprisingly have trouble with in real time) and be able to pinpoint the quirks in your English and where you slow down and have trouble. Then rerecord


Запишите серийный номер вашего телефона. Зарегистрируйте телефон на специализированном онлайн-сервисе. Храните вещи на своих местах. Примите меры во избежание утери телефона в будущем.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Every cell phone is equipped with an electronic serial number. Depending on the type and model of cell phone you use, your phone's unique number may be called an IMEI (International Mobile Equipment Identity), MEID (Mobile Equipment Identifier), or ESN (Electronic Serial Number). It's often located on a sticker under the battery, though its location will vary depending on your phone.  Find your cell phone's serial/identification number when you first purchase it. Write the number down and keep i


Запишите скрипичный ключ в нотном стане. Напишите музыкальный размер (такт). Определите тональность. Изучите различные виды нот, которые вы будете использовать. Читайте ноты. Выберите свой состав инструментов.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

A page of sheet music is made up of notes and rests printed on five parallel lines and the spaces in between them, which is called the staff. The lines and spaces are counted from the bottom to the top, meaning the higher-pitched notes will be higher up on the staff. The staff can be in either bass or treble clef, which will be marked at the left-most point on each line of the staff. The clef marker will tell you which line corresponds to which set of notes:   In the treble clef, also known as "


Запишите сюжет, который вы придумали, и решите, интересен он вам или нет. Определите возрастную группу, для которой вы пишете свой рассказ. Придумайте персонажей. Начните придумывать свой рассказ. Напечатайте ваш рассказ или запишите его.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Or you could pick a common topic that's regularly associated with the public, like "mean" cliques in middle school or a "Cinderella" like story, and add a twist to it. Just make sure that people will not be annoyed by that. Another method that works is to pick a few key words of the theme your story will be and write them down. For example, a few words of the theme of your story could be "scary", "horror", and "terrifying". It's basically the mood of your story, the theme of it and what "feeling


Запишите теорему Пифагора. В формулу подставьте значения сторон. Длину и ширину возведите в квадрат, а затем сложите полученные результаты. Извлеките квадратный корень из обеих сторон уравнения.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

The formula is a2+b2=c2{\displaystyle a^{2}+b^{2}=c^{2}}, where a{\displaystyle a} and b{\displaystyle b} equal the side lengths of a right triangle, and c{\displaystyle c} equals the length of a right triangle’s hypotenuse. You use the Pythagorean Theorem because a diagonal of a rectangle cuts the rectangle into two congruent right triangles. The length and width of the rectangle are the side lengths of the triangle; the diagonal is the hypotenuse of the triangle. These should be given, or you


Запишите уравнение Клапейрона-Клаузиуса, которое используется для расчета давления пара при его изменении с течением времени. Подставьте в уравнение Клапейрона-Клаузиуса данные вам значения величин. Подставьте константы. Решите уравнение при помощи алгебраических операций.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

The formula used for calculating vapor pressure given a change in the vapor pressure over time is known as the Clausius-Clapeyron equation (named for physicists Rudolf Clausius and Benoît Paul Émile Clapeyron). This is the formula you'll use to solve the most common sorts of vapor pressure problems you'll find in physics and chemistry classes. The formula looks like this: ln(P1/P2) = (ΔHvap/R)((1/T2) - (1/T1)). In this formula, the variables refer to:   ΔHvap: The enthalpy of vaporization of the


Запишите уравнение в стандартной форме. Упростите уравнение (если можно). Проверьте, можно ли решить уравнение.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

A linear equation is one that has no exponents greater than 1 on any variables. To solve a linear equation in this style, you need to begin by writing it in what is called “standard form.” The standard form of a linear equation looks like Ax+By=C{\displaystyle Ax+By=C}, where A,B{\displaystyle A,B} and C{\displaystyle C} are integers. If the equation is not already in standard form, you need to use the basic rules of algebra to rearrange or combine the terms to create the standard form. For exam


Запишите уравнение для вычисления энергии связи. Запишите химическое уравнение и обозначьте все связи между отдельными элементами. Изучите правила подсчета разорванных и образовавшихся связей. Определите, какие связи разрываются в левой части уравнения. Подсчитайте количество образовавшихся связей в правой части уравнения.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Bond energy is defined by the sum of all of the bonds broken minus the sum of all of the bonds formed: ΔH = ∑H(bonds broken) - ∑H(bonds formed). ΔH is the change in bond energy, also referred to as the bond enthalpy and ∑H is the sum of the bond energies for each side of the equation.  This equation is a form of Hess’s Law. The unit for bond energy is kilojoules per mol or kJ/mol. When given a reaction equation simply written with chemical symbols and numbers, it is helpful to draw this equation


Запишите уравнение каждой прямой, обособив переменную «у» на левой стороне уравнения. Приравняйте выражения, расположенные с правой стороны каждого уравнения. Найдите значение переменной «х» Используйте найденное значение переменной «х» для вычисления значения переменной «у». Проверьте ответ. Запишите координаты (х,у). Вычисления в особых случаях.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

If necessary, rearrange the equation so y{\displaystyle y} is alone on one side of the equal sign. If the equation uses f(x){\displaystyle f(x)} or g(x){\displaystyle g(x)} instead of y{\displaystyle y}, separate this term instead. Remember, you can cancel out terms by performing the same action to both sides.  If you do not know the equations, find them based on the information you have.  Example: Your two lines are y=x+3{\displaystyle y=x+3} and y−12=−2x{\displaystyle y-12=-2x}. To get y{\disp


Запишите уравнение прямой. Вместо «х» подставьте 0. Найдите «у». Проверьте ответ, построив график (если хотите). Найдите точку пересечения в случае квадратного уравнения.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

If you already have the equation of the line, you can find the y-intercept with a little algebra.   Example 3: What is the y-intercept of the line x + 4y = 16? Note: Example 3 is a straight line. See the end of this section for an example of a quadratic equation (with a variable raised to the power of 2). The y-axis is a vertical line along x = 0. This means any point on the y-axis has an x-coordinate of 0, including the y-intercept of the line. Plug in 0 for x in the line equation.  Example 3 (


Запишите уравнение, характеризующее отношение сторон. Запишите формулу для вычисления площади прямоугольника. В формулу подставьте значение площади прямоугольника. В формулу подставьте выражение, характеризующее отношение сторон. Запишите квадратное уравнение. Разложите квадратное уравнение на множители. Найдите w{\displaystyle w}. Подставьте найденное значение ширины (или длины) в уравнение, характеризующее отношение сторон. Запишите теорему Пифагора. В формулу подставьте значения длины и ширины. Длину и ширину возведите в квадрат, а затем сложите полученные результаты. Извлеките квадратный корень из обеих сторон уравнения.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

You can isolate the length (l{\displaystyle l}) or the width (w{\displaystyle w}). Set this formula aside. You will plug it into the area formula later. For example, if you know the width of a rectangle is 2 cm more than the length, you can write a formula for w{\displaystyle w}: w=l+2{\displaystyle w=l+2}. The formula is A=lw{\displaystyle A=lw}, where A{\displaystyle A} equals the area of the rectangle, l{\displaystyle l} equals the length of the rectangle, and w{\displaystyle w} equals the wi


Запишите уравнение. Вынесите за скобки коэффициент при первых двух членах. Делим на 2 второй член и возводим его в квадрат. Прибавьте и вычтите полученную величину к/из уравнения. Вынесите за скобку новый член со знаком минус. Преобразуйте слагаемые в скобках в полный квадрат. Сложите свободные члены. Запишите уравнение в вершинной форме.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Let's say you're working with the following equation: 3x2 - 4x + 5. To factor out a three from the first two terms, simply pull out a 3 and place it around a set of parenthesis around both terms, while dividing each term by 3. 3x2 divided by 3 is simply x2 and 4x divided by 3 is 4/3x. So, the new equation should look like this: 3(x2 - 4/3x) + 5. The 5 will remain outside of the equation because you did not divide it by 3. The second term, also known as the b term in the equation, is 4/3. Halve t


Запишите уравнение. Определите угловой коэффициент данной (первой) прямой. В представленное уравнение подставьте координаты точки, которая лежит на второй прямой. Запишите уравнение второй прямой. Упростите уравнение.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Point-slope form allows you to write the equation of a line when you know its slope and have an (x, y) coordinate. You would use this formula when you want to define a second parallel line to an already given line with a defined slope. The formula is y – y1= m(x – x1) where m is the slope of the line, x1 is the x coordinate of a point given on the line and y1 is the y coordinate of that point. As in the slope-intercept equation, x and y are variables that represent coordinates on the line; gener


Запишите уравнение. Перенесите все члены уравнения на одну сторону и приравняйте его к 0. Вынесите за скобку коэффициент при переменной высшего порядка. Избавьтесь от множителя перед скобкой. Делим на 2 второй член и возводим его в квадрат. Переместите свободный член (из исходного уравнения) с левой стороны уравнения в правую. Запишите левую часть уравнения в виде квадрата: Возьмите квадратный корень из обеих сторон уравнение. Выделите переменную.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Let's say you're working with the following equation: 3x2 + 4x + 5 = 6 The constant terms are any terms that aren't attached to a variable. In this case, you have 5 on the left side and 6 on the right side. You want to move 6 over to the left, so you'll have to subtract 6 from both sides of the equation. That will leave you with 0 on the right side (6-6) and -1 on the left side (5-6). The equation should now read: 3x2 + 4x - 1 = 0. In this case, 3 is the coefficient of the x2 term. To factor out


Запишите уравнение. Разделите каждый коэффициент на коэффициент при x2. Перенесите постоянную в правую часть уравнения. Дополните до полного квадрата левую часть уравнения. Упрощаем левую часть уравнения. Используйте его для нахождения координат x и y.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

Completing the square is another way to find the vertex of a quadratic equation. For this method, when you get to the end, you'll be able to find your x and y coordinates right away, instead of plugging the x coordinate back in to the original equation. Let's say you're working with the following quadratic equation: x2+4x+1=0{\displaystyle x^{2}+4x+1=0}. In this case, the coefficient of the x2{\displaystyle x^{2}}  term is 1, so you can skip this step. Dividing each term by 1 would not change an


Запишите формулу для вычисления диагонали прямоугольника. В формулу подставьте данные значения диагонали и длины. Обе стороны уравнения возведите в квадрат. Обособьте w{\displaystyle w}. Найдите w{\displaystyle w}. Запишите окончательный ответ.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

The formula is D=w2+l2{\displaystyle D={\sqrt {w^{2}+l^{2}}}}, where D{\displaystyle D} equals the length of the rectangle’s diagonal, l{\displaystyle l} equals the length of the rectangle, and w{\displaystyle w} equals the width of the rectangle.  This method will only work if you are given the length of the diagonal and the length of the side of the rectangle. You might also see the formula written as D=w2+h2{\displaystyle D={\sqrt {w^{2}+h^{2}}}}, where h{\displaystyle h} equals the height of


Запишите формулу для вычисления длины дуги. В формулу подставьте радиус окружности. В формулу подставьте центральный угол. Радиус умножьте на 2π{\displaystyle 2\pi }. Разделите центральный угол на 360. Перемножьте два числа.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

The formula is arc length=2π(r)(θ360){\displaystyle {\text{arc length}}=2\pi (r)({\frac {\theta }{360}})}, where r{\displaystyle r} equals the radius of the circle and θ{\displaystyle \theta } equals the measurement of the arc’s central angle, in degrees. This information should be given, or you should be able to measure it. Make sure you substitute this value for the variable r{\displaystyle r}. For example, if the circle’s radius is 10 cm, your formula will look like this: arc length=2π(10)(θ3


Запишите формулу для вычисления длины дуги. В формулу подставьте радиус окружности. В формулу подставьте центральный угол. Умножьте радиус на центральный угол (измеренный в радианах).

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

The formula is arc length=θ(r){\displaystyle {\text{arc length}}=\theta (r)}, where θ{\displaystyle \theta } equals the measurement of the arc’s central angle in radians, and r{\displaystyle r} equals the length of the circle’s radius. You need to know the length of the radius to use this method. Make sure you substitute the length of the radius for the variable r{\displaystyle r}. For example, if the circle’s radius is 10 cm, your formula will look like this: arc length=θ(10){\displaystyle {\te


Запишите формулу для вычисления длины окружности через диаметр. Подставьте данные вам значения в формулу и найдите длину окружности.

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The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi. Plugging π into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7. Example problem:  You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub


Запишите формулу для вычисления длины окружности через радиус. Подставьте данные вам значения в формулу и найдите длину окружности.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2πr. In this formula, "r" represents the radius of the circle. Again, you can plug π into your calculator to get its numeral value, which is a closer approximation of 3.14. For this example, let's say you're cutting out a decorative strip of paper to wrap around the edge of a pie you've just made.


Запишите формулу для вычисления длины. Найдите координаты точек отрезка. Подставьте координаты в формулу.

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The formula states that d=(x2−x1)2+(y2−y1)2{\displaystyle d={\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}}}, where d{\displaystyle d} equals the distance of the line, (x1,y1){\displaystyle (x_{1},y_{1})} equal the coordinates of the first endpoint of the line segment, and (x2,y2){\displaystyle (x_{2},y_{2})} equal the coordinates of the second endpoint of the line segment. These might already be given. If not, count along the x-axis and y-axis to find the coordinates.  The x-axis is the horizonta


Запишите формулу для вычисления объема призмы. В формулу подставьте объем. Вычислите площадь основания. Подставьте площадь основания в формулу для вычисления объема призмы. Найдите h{\displaystyle h}.

I'm interested in that, but I only have a few mins. Can you give me at most the first 500 characters of a detailed explanation in English about that?

The volume for any prism can be found by using the formula V=Ah{\displaystyle V=Ah}, where V{\displaystyle V} equals the volume of the prism, A{\displaystyle A} equals the area of one base, and h{\displaystyle h} equals the height of the prism. The base of a prism is one of its congruent sides. Since all opposite sides of a rectangular prism are congruent, any side can be used as the base, as long as you are consistent in your calculations. If you do not know the volume, you cannot use this meth


The volume for any prism can be found by using the formula V=Ah{\displaystyle V=Ah},  where V{\displaystyle V} equals the volume of the prism, A{\displaystyle A} equals the area of one base, and h{\displaystyle h} equals the height of the prism. The base of a prism is one of its congruent sides. The base of a triangular prism will be a triangle. The sides will be rectangles. If you do not know the volume, you cannot use this method. For example, if you know the volume of the prism is 840 cubic m


Запишите формулу для вычисления относительной ошибки. Подставьте в формулу относительную ошибку. Подставьте в формулу фактическое значение. Умножьте обе стороны уравнения на фактическое значение. Прибавьте фактическое значение к каждой стороне уравнения. Вычтите фактическое значение из измеренного значения.

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The formula is δx=x0−xx{\displaystyle \delta x={\frac {x_{0}-x}{x}}}, where δx{\displaystyle \delta x} equals the relative error (the ratio of the absolute error to the actual value), x0{\displaystyle x_{0}} equals the measured value, and x{\displaystyle x} equals the actual value. This will likely be a decimal. Make sure you substitute it for δx{\displaystyle \delta x}. For example, if you know that the relative error is .025, your formula will look like this: .025=x0−xx{\displaystyle .025={\fr


Запишите формулу для вычисления периметра квадрата. Подставьте в формулу значение периметра квадрата. Найдите s{\displaystyle s}. Запишите формулу d=s2{\displaystyle d=s{\sqrt {2}}}. Подставьте в формулу значение длины стороны квадрата. Умножьте сторону квадрата на 2{\displaystyle {\sqrt {2}}}, чтобы найти диагональ квадрата.

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The formula is P=4s{\displaystyle P=4s}, where P{\displaystyle P} equals the perimeter of the square, and s{\displaystyle s} equals the length of one side of the square.  This method only works if you are given the perimeter of the square. To find the length of the diagonal, you must first find the length of one side of the square, so you need to set up the perimeter formula and solve for s{\displaystyle s}. Make sure you are substituting for the variable P{\displaystyle P}. For example, if the


Запишите формулу для вычисления периметра прямоугольника. В формулу подставьте данные значения периметра и длины. Найдите w{\displaystyle w}. Запишите окончательный ответ.

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The formula is P=2l+2w{\displaystyle P=2l+2w}, where P{\displaystyle P} equals the perimeter of the rectangle, l{\displaystyle l} equals the length of the rectangle, and w{\displaystyle w} equals the width of the rectangle.  This method will only work if you are given the perimeter and length of the rectangle. You might also see the formula written as P=2(w+h){\displaystyle P=2(w+h)}, where h{\displaystyle h} equals the height of the rectangle and is used instead of length. The variables l{\disp


Запишите формулу для вычисления площади квадрата. В формулу подставьте значение площади квадрата. Найдите s{\displaystyle s}. Запишите формулу d=s2{\displaystyle d=s{\sqrt {2}}}. Подставьте в формулу значение длины стороны квадрата. Умножьте сторону квадрата на 2{\displaystyle {\sqrt {2}}}, чтобы найти диагональ квадрата.

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The formula is A=s2{\displaystyle A=s^{2}}, where A{\displaystyle A} equals the area of the square, and s{\displaystyle s} equals the length of one side of the square.  This method only works if you are given the area of the square. To find the length of the diagonal, you have to first find the length of one side of the square, which is why you must set up the area formula and solve for s{\displaystyle s}. Make sure you are substituting for the variable A{\displaystyle A}. For example, if the ar


Запишите формулу для вычисления площади поверхности призмы. В формулу подставьте площадь поверхности. Вычислите площадь основания. Подставьте площадь основания в формулу для вычисления площади поверхности призмы. Найдите периметр основания. Подставьте периметр основания в формулу для вычисления площади поверхности призмы. Найдите h{\displaystyle h}.

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The formula for the surface area of any prism is SA=2B+Ph{\displaystyle SA=2B+Ph}, where SA{\displaystyle SA} equals the surface area, B{\displaystyle B} equals the area of the base, P{\displaystyle P} equals the perimeter of the base, and h{\displaystyle h} equals the height of the prism. In order for this method to work you must know the surface area of the prism, as well as the area of the triangular base, and the length of all three sides of the base. If you do not know the surface area, thi


Запишите формулу для вычисления площади прямоугольника. В формулу подставьте данные значения площади и длины. Найдите w{\displaystyle w}. Запишите окончательный ответ.

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The formula is A=(l)(w){\displaystyle A=(l)(w)}, where A{\displaystyle A} equals the area of the rectangle, l{\displaystyle l} equals the length of the rectangle, and w{\displaystyle w} equals the width of the rectangle.  This method will only work if you are given the area and length of the rectangle. You might also see the formula written as A=(h)(w){\displaystyle A=(h)(w)}, where h{\displaystyle h} equals the height of the rectangle and is used instead of length. These two terms refer to the


Запишите формулу для вычисления площади прямоугольника. В формулу подставьте значение площади прямоугольника. Перепишите формулу так, чтобы обособить w{\displaystyle w}. Запишите формулу для вычисления периметра прямоугольника. В формулу подставьте значение периметра прямоугольника. Разделите обе стороны уравнения на 2. В формулу подставьте выражение для вычисления w{\displaystyle w}. Избавьтесь от дроби. Приравняйте уравнение к 0. Упорядочьте члены уравнения. Разложите квадратное уравнение на множители. Найдите l{\displaystyle l}. Запишите теорему Пифагора. В формулу подставьте значения длины и ширины. Длину и ширину возведите в квадрат, а затем сложите полученные результаты. Извлеките квадратный корень из обеих сторон уравнения.

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The formula is A=lw{\displaystyle A=lw}, where A{\displaystyle A} equals the area of the rectangle, l{\displaystyle l} equals the length of the rectangle, and w{\displaystyle w} equals the width of the rectangle. Make sure you substitute for the variable A{\displaystyle A}. For example, if the area of the rectangle is 35 square centimeters, your formula will look like this: 35=lw{\displaystyle 35=lw}. To do this, divide both sides of the equation by l{\displaystyle l}. Set this value aside. You


Запишите формулу для вычисления площади сектора. В формулу подставьте значения площади сектора и центрального угла. Разделите центральный угол на 360. Изолируйте (π)(r2){\displaystyle (\pi )(r^{2})}. Разделите обе части формулы на π{\displaystyle \pi }. Извлеките квадратный корень из обеих частей формулы.

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The formula is Asector=θ360(π)(r2){\displaystyle A_{sector}={\frac {\theta }{360}}(\pi )(r^{2})}, where Asector{\displaystyle A_{sector}} equals the area of the sector, θ{\displaystyle \theta } equals the central angle of the sector in degrees, and r{\displaystyle r} equals the radius of the circle. This information should be given to you. Make sure you have the area of the sector, not the area for the circle. Substitute the area for the variable Asector{\displaystyle A_{sector}} and the angle f


Запишите формулу для вычисления процентной погрешности. Вычтите точное значение из оценочного. Найдите абсолютное значение этой разности. Разделите найденную разность на абсолютную величину истинного значения.

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The formula for calculating percentage error is simple: [(|Approximate Value - Exact Value|) / Exact Value] x 100. You will use this as a reference to plug in the two values you need to know.  The approximate value is your estimated value, and the exact value is the real value. For example, if you guess that there will be 9 oranges in a bag, but there are actually 10, 9 is the approximate value, and 10 is your exact value. In the example of oranges, you will subtract 10 (the exact value) from 9


Запишите формулу для вычисления суммы внутренних углов многоугольника. Найдите число сторон многоугольника. Подставьте число сторон в формулу. Вычислите сумму углов.

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The formula is sum=(n−2)×180{\displaystyle sum=(n-2)\times 180}, where sum{\displaystyle sum} is the sum of the interior angles of the polygon, and n{\displaystyle n} equals the number of sides in the polygon.  The value 180 comes from how many degrees are in a triangle. The other part of the formula, n−2{\displaystyle n-2} is a way to determine how many triangles the polygon can be divided into. So, essentially the formula is calculating the degrees inside the triangles that make up the polygon


Запишите формулу для вычисления суммы последовательных целых чисел. Запишите формулу для вычисления суммы четных целых чисел. Запишите формулу для вычисления суммы нечетных целых чисел. Пользуйтесь представленными формулами, чтобы найти сумму.

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Once you've defined n{\displaystyle n} as the largest integer you're adding, plug the number into the formula to sum consecutive integers: sum = n{\displaystyle n}∗(n{\displaystyle n}+1)/2.  For example, if you're summing the first 100 integers, plug 100 into n{\displaystyle n} to get 100∗(100+1)/2. If you're finding the first 20 integers, use 20 for n{\displaystyle n}. Work 20∗(20+1)/2 to get 420/2. Your answer will be 210. If the problems asks you to find the sum of only the even integers in a


Запишите формулу для вычисления углового коэффициента. Определите координаты двух точек, которые лежат на каждой прямой. Подставьте координаты точек в формулу. Сравните угловые коэффициенты.

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The slope of a line is defined by (Y2 - Y1)/(X2 - X1) where X and Y are the horizontal and vertical coordinates of points on the line. You must define two points on the line to calculate this formula. The point closer to the bottom of the line is (X1, Y1) and the point higher on the line, above the first point, is (X2, Y2).  This formula can be restated as the rise over the run. It is the change in vertical difference over the change in horizontal difference, or the steepness of the line. If a l


Запишите формулу для стандартного отклонения. Найдите среднее значение в каждой группе. Вычтите из среднего каждое полученное значение. Возведите в квадрат каждую полученную величину и сложите их вместе. Поделите на объем выборки минус 1. Извлеките квадратный корень.

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The standard deviation is a measure of how spread out your data is. It gives you information on how similar each data point is within your sample, which helps you determine if the data is significant. At first glance, the equation may seem a bit complicated, but these steps will walk you through the process of the calculation. The formula is s = √∑((xi – µ)2/(N – 1)).  s is the standard deviation. ∑ indicates that you will sum all of the sample values collected. xi represents each individual val


Запишите формулу многоатомного иона. Найдите заряд металла. Запишите название неметаллического иона. Запишите название металла. Объедините название неметаллов и названием металла.

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Polyatomic ionic compounds will have more than 2 ions in it. In most polyatomic compounds, 1 ion will be metal and the remainder will be non-metals. As always, refer to the periodic table to find the names of each ion. Let's say you're working with the following compound: FeNH4(SO4)2. First, the SO4 ion has a charge of -2. You also know that there are two of these ions because of the “2” below the parenthesis. This ion is called “sulfate” because it’s a combination of oxygen and sulfur. So, 2 x


Запишите формулу. Определите число сторон многоугольника. Подставьте число сторон в формулу. Решите уравнение. Попрактикуйтесь на других примерах.

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The formula to find the number of diagonals of a polygon is n(n-3)/2 where “n” equals the number of sides of the polygon. Using the distributive property this can be rewritten as (n2 - 3n)/2. You may see it either way, both equations are identical.  This equation can be used to find the number of diagonals of any polygon. Note that the triangle is an exception to this rule. Due to the shape of the triangle, it does not have any diagonals. To use this formula, you must identify the number of side


Запишите формулу. Подставьте в формулу известные значения. Преобразуйте уравнение, чтобы найти неизвестную величину.

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The formula for calculating kinetic energy (KE) is KE = 0.5 x mv2. Here m stands for mass, the measure of how much matter is in an object, and v stands for velocity of the object, or the rate at which the object changes its position. Your answer should always be stated in joules (J), which is the standard unit of measurement for kinetic energy. It is equivalent to 1 kg * m2/s2. In some problems, you may know the kinetic energy and the mass or kinetic energy and velocity. The first step to solvin


Запишите формулу: В формулу подставьте порядковый номер числа (вместо n{\displaystyle n}). В формулу подставьте золотое сечение. Вычислите выражение в скобках. Возведите числа в степени. Вычтите два числа. Полученный результат разделите на квадратный корень из 5. Полученный результат округлите до ближайшего целого числа.

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In the formula, xn{\displaystyle x_{n}} = the term in the sequence you are trying to find, n{\displaystyle n} = the position number of the term in the sequence, and ϕ{\displaystyle \phi } = the golden ratio.  This is a closed formula, so you will be able to calculate a specific term in the sequence without calculating all the previous ones. This formula is a simplified formula derived from Binet’s Fibonacci number formula.  The formula utilizes the golden ratio (ϕ{\displaystyle \phi }), because


Запишите функцию в стандартном виде. Определите направление параболы. Вычислите -b/2a. Найдите соответствующее значение f(x). Запишите ответ.

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A quadratic function is one that has an x2{\displaystyle x^{2}} term. It may or may not contain an x{\displaystyle x} term without an exponent. There will be no exponents larger than 2. The general form is f(x)=ax2+bx+c{\displaystyle f(x)=ax^{2}+bx+c}. If necessary, combine similar terms and rearrange to set the function in this general form. For example, suppose you start with f(x)=3x+2x−x2+3x2+4{\displaystyle f(x)=3x+2x-x^{2}+3x^{2}+4}. Combine the x2{\displaystyle x^{2}} terms and the x{\disp


Запишите функцию. Найдите вершину параболы. Найдите еще несколько точек на графике. Найдите множество значений функции на графике.

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Let's say the formula you're working with is the following: f(x) = 3x2 + 6x -2. This means that when you place any x into the equation, you'll get your y value. This is the function of a parabola. If you're working with a straight line or any function with a polynomial of an odd number, such as f(x) = 6x3+2x + 7, you can skip this step. But if you're working with a parabola, or any equation where the x-coordinate is squared or raised to an even power, you'll need to plot the vertex. To do this,


Запишите черновой вариант. Напишите начало письма. Напишите основную часть. Будьте позитивным. Скажите любимому человеку о вашей преданности. Напишите окончание.

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Don’t worry so much about grammar and spelling at this point. The message is what matters, and once you get that down you can go over the letter and fix any errors. Your letter is a confession of sorts on how you feel, and right now you want to focus on being completely honest and open about how you feel and why.  Take your time and don’t rush. If this is the first love letter you have ever written, then keep that in mind. There is a learning curve for everything, so accept that you may have som


Запишите числа в столбик и сложите соответствующие цифры. Сложите цифры в столбике двоек. Сложите цифры в столбике четверок. Продолжайте складывать цифры в каждом столбике разрядов, пока не получите окончательный результат.

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Since you are only adding two digits, the possible sum is either 0, 1, or 2. If the sum is 0, write a 0 in the answer’s ones place. If the sum is 1, write a 1 in the answer’s ones place. If the sum is 2, write a 0 in the answer’s ones place, and carry a 1 into the twos column. For example, if adding 0111 and 1110, for the ones column you would add 1 one plus 0 ones = 1, so place a 1 in the answer’s ones column. The possible sum is either 0, 1, 2, or 3 (if you carried from the ones place). If the


Запишите числа в столбик. Рассмотрите разряд единиц. Обведите пары цифр 1 в столбике двоек. Рассмотрите разряд двоек. Обведите пары цифр 1 в столбике четверок. Рассмотрите разряд четверок. Продолжайте обводить пары единиц для каждого разрядного столбика. Проверьте полученный ответ.

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Circle pairs of 1s (digits) in the ones column. Remember, the ones column in binary is the far right column. For example, if adding 1010 + 1111 + 1011 + 1110, you should circle 1 pair of 1s. For each pair of 1s, carry a 1 into the twos column. If there is only one 1, or if there is one 1 left over after circling pairs of 1s, then write a 1 in the answer’s ones place. If there are no 1s left over, place a 0 in the answer’s ones place. For example, since you circled one pair of 1s, you would carry


Запишите числа множества. Расположите числа в порядке возрастания. Подсчитайте, сколько раз повторяется каждое число. Определите значение (или значения), которые встречаются наиболее часто. Не путайте моду множества чисел с его средним значением и медианой.

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Modes are typically taken from sets of statistical data points or lists of numerical values. Thus, to find a mode, you'll need a data set to find it for. It's difficult to do mode calculations mentally for all but the smallest of datasets, so, in most cases, it's wise to begin by writing (or typing) your data set out. If you're working with paper and a pencil, simply writing the values of your data set in sequence will suffice, while if you're using a computer, you may want to use a spreadsheet


Запишите числа, которые вы будете умножать. Переместите десятичные точки для каждого числа. Найдите меньшие цифры на шкале D, затем передвиньте к ней шкалу C. Переместите металлический указатель ко второй цифре на шкале C. Если указатель не перемещается к ответу, используйте правый индекс. Прикидывайте правильную десятичную точку.

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Write down the two numbers you plan to multiply together.  In Example 1 throughout this section, we'll calculate 260 x 0.3. In Example 2, we'll calculate 410 x 9. This ends up being a little more complicated than Example 1, so you might want to follow Example 1 first. The slide rule is only labeled with numbers between 1 and 10. Move the decimal point in each number you are multiplying, so they fall between these values. After the problem is complete, we'll move the decimal point in the answer b