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={\frac {x_{0}-x}{x}}}. This information should be given to you. Make sure you substitute this value for x{\displaystyle x}. For example, if you know that the actual value is 360 ft, your formula will look like this: .025=x0−360360{\displaystyle .025={\frac {x_{0}-360}{360}}}. This will cancel out the fraction. For example:.025=x0−360360{\displaystyle .025={\frac {x_{0}-360}{360}}}.025×360=x0−360360×360{\displaystyle .025\times 360={\frac {x_{0}-360}{360}}\times 360}9=x0−360{\displaystyle 9=x_{0}-360} This will give you the value of x0{\displaystyle x_{0}}, giving you the measured value. For example:9=x0−360{\displaystyle 9=x_{0}-360}9+360=x0−360+360{\displaystyle 9+360=x_{0}-360+360}369=x0{\displaystyle 369=x_{0}} Since absolute error is always positive, take the absolute value of this difference, ignoring any negative signs. This will give you the absolute error. For example, if the measured value is 369 ft, and the actual value is 360 feet, you would subtract 369−360=9{\displaystyle 369-360=9}. So, the absolute error is 9 feet.


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 perimeter of the square is 20 centimeters, your formula will look like this:20=4s{\displaystyle 20=4s} To do this, divide each side of the equation by 4. This will give you the length of one side of the square. For example:20=4s{\displaystyle 20=4s}204=4s4{\displaystyle {\frac {20}{4}}={\frac {4s}{4}}}5=s{\displaystyle 5=s} In the formula d{\displaystyle d} equals the length of the diagonal and s{\displaystyle s} equals one side of the square. This formula is derived from the Pythagorean Theorem (a2+b2=c2){\displaystyle a^{2}+b^{2}=c^{2})}. A diagonal divides a square into two congruent right triangles, thus, you can use the side lengths of the square to find the length of the diagonal (which would be the hypotenuse of the right triangle). Make sure you are substituting for the variable s{\displaystyle s}. For example, if the square has a side length of 5 centimeters, set up the formula like this:d=52{\displaystyle d=5{\sqrt {2}}} This will give you the length of the diagonal. It’s best to perform the calculation on a calculator, so that you can get a more precise result. If you don’t have a calculator, you can round 2{\displaystyle {\sqrt {2}}} to 1.414. For example, if you are calculating the diagonal of a 5-centimeter square, your formula will look like this:d=52{\displaystyle d=5{\sqrt {2}}}d=7.07{\displaystyle d=7.07}So, the diagonal of the square is 7.07 centimeters long.


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{\displaystyle l} and h{\displaystyle h} refer to the same measurement, and the distributive property dictates that these two formulas, although arranged differently, will give you the same result. Make sure you substitute for the correct variables. For example, if you are trying to find the width of a rectangle that has a perimeter of 22 centimeters, and a length of 8 centimeters, your formula will look like this:22=2(8)+2w{\displaystyle 22=2(8)+2w}22=16+2w{\displaystyle 22=16+2w} To do this, you need to subtract the length from each side of the equation, then divide by 2. For example, in the equation 22=16+2w{\displaystyle 22=16+2w}, you would subtract 16 from each side, then divide by 2.22=16+2w{\displaystyle 22=16+2w}6=2w{\displaystyle 6=2w}62=2w2{\displaystyle {\frac {6}{2}}={\frac {2w}{2}}}3=w{\displaystyle 3=w} Don’t forget to include the unit of measurement. For example, for a rectangle with a perimeter of 22cm{\displaystyle 22cm} and a length of 8cm{\displaystyle 8cm}, the width would be 3cm{\displaystyle 3cm}.


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 area of the square is 25 square centimeters, your formula will look like this:25=s2{\displaystyle 25=s^{2}} To do this, find the square root of the area. This will give you the length of one side of the square. To find the square root, use a calculator. If you need help calculating the square root by hand, read Calculate a Square Root by Hand. For example:25=s2{\displaystyle 25=s^{2}}25=s2{\displaystyle {\sqrt {25}}={\sqrt {s^{2}}}}5=s{\displaystyle 5=s} In the formula d{\displaystyle d} equals the length of the diagonal and s{\displaystyle s} equals one side of the square. This formula is derived from the Pythagorean Theorem (a2+b2=c2){\displaystyle a^{2}+b^{2}=c^{2})}. A diagonal divides a square into two congruent right triangles, thus, you can use the side lengths of the square to find the length of the diagonal (which would be the hypotenuse of the right triangle). Make sure you are substituting for the variable s{\displaystyle s}. For example, if the square has a side length of 5 centimeters, set up the formula like this:d=52{\displaystyle d=5{\sqrt {2}}} This will give you the length of the diagonal. *It’s best to perform the calculation on a calculator, so that you can get a more precise result. If you don’t have a calculator, you can round 2{\displaystyle {\sqrt {2}}} to 1.414. For example, if you are calculating the diagonal of a 5-centimeter square, your formula will look like this:d=52{\displaystyle d=5{\sqrt {2}}}d=7.07{\displaystyle d=7.07}So, the diagonal of the square is 7.07 centimeters long.


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, this method will not work. For example, if you know the surface area is 1460 square centimeters, your formula will look like this:1460=2B+Ph{\displaystyle 1460=2B+Ph} To find the area, you need to know the length of the triangle’s base and the height of the triangle. Use the formula A=12(b)(h){\displaystyle A={\frac {1}{2}}(b)(h)}. To find the area of a triangle.  Alternatively, if you know the length of all three sides of a triangle, you can find the area using Heron’s formula.  Read Calculate the Area of a Triangle for complete instructions. For example, if the base of the triangle is 8 centimeters, and the height of the triangle is 4 centimeters, to find the area you would calculate:A=12(8)(4){\displaystyle A={\frac {1}{2}}(8)(4)}A=12(32){\displaystyle A={\frac {1}{2}}(32)}A=16{\displaystyle A=16} Make sure you are substituting for the letter B{\displaystyle B}. For example, if you found the area of the base to be 16, your formula will look like this:1460=2(16)+Ph{\displaystyle 1460=2(16)+Ph}1460=32+Ph{\displaystyle 1460=32+Ph} To find the perimeter of a triangle, add up the length of all three sides. For example, if the base is a triangle has three sides with lengths of 8, 4, and 9 centimeters, to find the perimeter you would calculate:P=8+4+9{\displaystyle P=8+4+9}P=21{\displaystyle P=21} Make sure you are substituting for the letter P{\displaystyle P}. For example, if you found the perimeter of the base to be 21, your formula will look like this:1460=32+21h{\displaystyle 1460=32+21h} This will give you the height of...


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 same measurement. Make sure you substitute for the correct variables. For example, if you are trying to find the width of a rectangle that has an area of 24 square centimeters, and a length of 8 centimeters, your formula will look like this:24=8w{\displaystyle 24=8w} To do this, you need to divide each side of the equation by the length. For example, in the equation 24=8w{\displaystyle 24=8w}, you would divide each side by 8.24=8w{\displaystyle 24=8w}248=8w8{\displaystyle {\frac {24}{8}}={\frac {8w}{8}}}3=w{\displaystyle 3=w} Don’t forget to include the unit of measurement. For example, for a rectangle with an area of 24cm2{\displaystyle 24cm^{2}} and a length of 8cm{\displaystyle 8cm}, the width would be 3cm{\displaystyle 3cm}.


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 will plug it into the perimeter formula later. For example:35=lw{\displaystyle 35=lw}35l=w{\displaystyle {\frac {35}{l}}=w}. The formula is P=2(w+l){\displaystyle P=2(w+l)}, where w{\displaystyle w} equals the width of the rectangle, and l{\displaystyle l} equals the length of the rectangle. Make sure you substitute for the variable P{\displaystyle P}. For example, if the perimeter of a rectangle is 24 centimeters, your formula will look like this: 24=2(w+l){\displaystyle 24=2(w+l)}. This will give you the value of w+l{\displaystyle w+l}. For example:24=2(w+l){\displaystyle 24=2(w+l)}242=2(w+l)2{\displaystyle {\frac {24}{2}}={\frac {2(w+l)}{2}}}12=w+l{\displaystyle 12=w+l}. Use the value you found by rearranging the formula for area. For example, if using the area formula you found that 35l=w{\displaystyle {\frac {35}{l}}=w}, replace this value of w{\displaystyle w} into the perimeter formula:12=w+l{\displaystyle 12=w+l}12=35l+l{\displaystyle 12={\frac {35}{l}}+l} To do this, multiply both sides of the equation by l{\displaystyle l}. For example:12=35l+l{\displaystyle 12={\frac {35}{l}}+l}12×l=(35l×l)+(l×l){\displaystyle 12\times l=({\frac {35}{l}}\times l)+(l\times l)}12l=35+l2{\displaystyle 12l=35+l^{2}} To do this, subtract the first-degree term from both sides of the equation. For example:12l=35+l2{\displaystyle 12l=35+l^{2}}12l−12l=35+l2−12l{\displaystyle 12l-12l=35+l^{2}-12l}0=35+l2−12l{\displaystyle 0=35+l^{2}-12l} This means the term with the exponent will be first, followed by the term with the variable,...


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 for the variable θ{\displaystyle \theta }. This will tell you what fraction of the entire circle the sector represents. To do this, divide both sides of the equation by the fraction or decimal you just calculated. This will isolate the r{\displaystyle r} variable. For a more precise result, use a calculator. You can also round π{\displaystyle \pi } to 3.14. This will give you the radius of the circle.


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 (the estimated value). In this case, the result is 9 - 10 = -1.  This difference is considered the magnitude of difference in approximate and estimated values. This begins to tell you how far off the results were from what they were expected to be. Since the formula uses the absolute value of the difference, you can discard a negative sign. In this example, -1 will become just 1.  In the oranges example, 9 - 10 = -1. The absolute value of -1, written as |-1|, is 1. If your result is positive, leave the number as it is. For example, 12 apples (approximate) - 10 apples (exact) = 2. The absolute value of 2 (|2|) is just 2. In statistics, taking the absolute value simply means you don't care which direction your guess was off (either too high—positive—or too low—negative). You just want to know how far off the estimate was from the exact value. Either with a calculator or by hand, divide the top number by the absolute value of your exact variable. In this example, the exact value is already positive, so you just need to divide 1 (from the previous step) by 10 (the exact number of oranges).  For this example, 1/|10| = 1/10. In some cases, the exact value might be a negative number to begin with. If this is the case, you want to ignore the negative (i.e. take the absolute value of the exact number).


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.  This method will work whether you are working with a regular or irregular polygon. Regular and irregular polygons with the same number of sides will always have the same sum of interior angles, the difference only being that in a regular polygon, all interior angles have the same measurement. In an irregular polygon, some of the angles will be smaller, some of the angles will be larger, but they will still add up to the same number of degrees that are in the regular shape. Remember that a polygon must have at least three straight sides. For example, if you want to know the sum of the interior angles of a hexagon, you would count 6 sides. Remember, n{\displaystyle n} is the number of sides in your polygon. For example, if you are working with a hexagon, n=6{\displaystyle n=6}, since a hexagon has 6 sides. So, your formula should look like this:sum=(6−2)×180{\displaystyle sum=(6-2)\times 180} To do this, subtract 2 from the number of sides, and multiply the difference by 180. This will give you, in degrees, the sum of the interior angles in your polygon. For example, to find out the sum of the interior angles of a hexagon, you would calculate:sum=(6−2)×180{\displaystyle sum=(6-2)\times 180}sum=(4)×180{\displaystyle sum=(4)\times 180}sum=(4)×180=720{\displaystyle sum=(4)\times 180=720}So, the sum of the interior angles of a hexagon is 720 degrees.


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 sequence starting with 1, you'll need to use a different formula. Plug your highest integer into n{\displaystyle n} so: sum = n{\displaystyle n}∗(n{\displaystyle n}+2)/4. For example, if the problem asks you to find the sum of even integers from 1 to 20, use 20 as n{\displaystyle n}. Your formula will be 20∗22/4. If the problems asks you to find the sum of only the odd integers, you'll need to find n{\displaystyle n} first. To find n{\displaystyle n}, add 1 to the highest number of the sequence. Then use it in this formula: sum = (n{\displaystyle n}+1)∗(n{\displaystyle n}+1)/4. For example, to add the odd integers from 1 to 9, add 1 to 9. The equation will now look like 10∗(10)/4. Once you've worked the equation, you'll get 10∗(10)/4 to equal 25. Once you've plugged in the integer, multiply the integer by itself plus 1, 2 , or 4 depending on your formula. Then divide your result by 2 or 4 to get the answer.  For the example of consecutive formula 100∗101/2, multiply 100 by 101 to get 10100. Divide this by 2 to get an answer of 5050. For the example of even integers 20∗22/4, multiply 20 by 22 to get 440. Divide this by 4 to get a result of 110.


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 line points upwards to the right, it will have a positive slope. If the line is downwards to the right, it will have a negative slope. A point on a line is given by the coordinate (X, Y) where X is the location on the horizontal axis and Y is the location on the vertical axis. To calculate the slope, you need to identify two points on each of the lines in question.  Points are easily determined when you have a line drawn on graphing paper. To define a point, draw a dashed line up from the horizontal axis until it intersects the line. The position that you started the line on the horizontal axis is the X coordinate, while the Y coordinate is where the dashed line intersects the line on the vertical axis. For example: line l has the points (1, 5) and (-2, 4) while line r has the points (3, 3) and (1, -4). To actually calculate the slope, simply plug in the numbers, subtract, and then divide. Take care to plug in the coordinates to the proper X and Y value in the formula.  To calculate the slope of line l: slope = (5 – (-4))/(1 – (-2)) Subtract: slope = 9/3 Divide: slope = 3 The slope of line r is: slope = (3 – (-4))/(3 - 1) = 7/2 Remember, two lines are parallel only if they have identical slopes. Lines may look parallel on paper and may even be very close to parallel, but if their slopes are not exactly the same, they aren’t parallel. In this example, 3 is not equal to 7/2, therefore, these two lines are not parallel.


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 value from your data. µ is the average (or mean) of your data for each group. N is the total sample number. To calculate the standard deviation, first you must take the average of the samples in the individual groups. The average is designated with the Greek letter mu or µ. To do this, simply add each sample together and then divide by the total number of samples.  For example, to find the average grade of the group that read the material before class, let’s look at some data. For simplicity, we will use a dataset of 5 points: 90, 91, 85, 83, and 94. Add all the samples together: 90 + 91 + 85 + 83 + 94 = 443. Divide the sum by the sample number, N = 5: 443/5 = 88.6. The average grade for this group is 88.6. The next part of the calculation involves the (xi – µ) portion of the equation. You will subtract each sample from the average just calculated. For our example you will end up with five subtractions.  (90 – 88.6), (91- 88.6), (85 – 88.6), (83 – 88.6), and (94 – 88.6). The calculated numbers are now 1.4, 2.4, -3.6, -5.6, and 5.4. Each of the new numbers you have just calculated will now be squared. This step will also take care of any negative signs. If you have a negative sign after this step or at the end of your calculation, you may have forgotten this step.  In our example, we are now working with 1.96, 5.76, 12.96, 31.36, and 29.16. Summing these squares together yields: 1.96 + 5.76 + 12.96 + 31.36 + 29.16 = 81.2. The formula divides by N – 1 because it is correcting for the fact that you haven’t counted an entire...


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 -2 = -4. Then, the NH4, or the ammonium ion, has a charge of +1. You can figure out that it has this positive charge since ammonia itself is neutral, and ammonium contains 1 additional hydrogen molecule. (Ammonium is so-called because it combines 1 nitrogen molecule with 4 hydrogen molecules.) Add -4 and 1 and you get -3. This means that the iron ion, Fe, must have a charge of +3 to make up for it and to make the compound neutral.  Ionic compounds always have a neutral charge. You can use this information to calculate the metal’s charge. SO4 has a charge of -2 since it’s negative without the 2 hydrogen atoms that it had when it existed as sulfuric acid. The way you write the name will vary based on whether you’re using the newer or older naming method. So, to name the metal ion, either write Iron (III) or ferric. Refer to the periodic table to remind yourself that “S” is sulfur. Ammonium is not an element, but occurs when 1 nitrogen ion combines with 4 hydrogen ions. So, you're working with ammonium and sulfate, or ammonium sulfate. “Ammonia” becomes “ammonium” when it takes on a positive charge. Ammonia itself is neutrally charged. You can name the compound FeNH4(SO4)2 by writing iron (III) ammonium sulfate. If you’re required to use the older naming method for ionic compounds, write ferric ammonium sulfate.


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 sides that the polygon has. The number of sides is given in the name of the polygon, you just need to know what each name means. Here are some of common prefixes you will see in polygons:  Tetra (4), penta (5), hexa (6), hepta (7), octa (8), ennea (9), deca (10), hendeca (11), dodeca (12), trideca (13), tetradeca (14), pentadeca (15), etc. For very large sided polygons you may simply see it written “n-gon”, where “n” is the number of sides. For example, a 44-sided polygon would be written as 44-gon. If you are given a picture of the polygon, you can simply count the number of sides. Once you know how many sides the polygon has, you just need to plug that number into the equation and solve. Everywhere you see “n” in the equation will be replaced with the number of sides of the polygon.  For example: A dodecagon has 12 sides. Write the equation: n(n-3)/2 Plug in the variable: (12(12 - 3))/2 Finish by solving the equation using the proper order of operations. Start by solving the subtraction, then multiply, then divide. The final answer is the number of diagonals the polygon has.  For example: (12(12 – 3))/2 Subtract: (12*9)/2 Multiply: (108)/2 Divide: 54 A dodecagon has 54 diagonals. The more practice you have with a math concept, the better you will be at using it. Doing lots of examples will also help you memorize the formula in case you need it for a quiz, test, or exam. Remember, this formula works for a polygon of any number of sides greater than 3.  Hexagon (6 sides): n(n-3)/2 = 6(6-3)/2 = 6*3/2 = 18/2 = 9 diagonals....


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 solving this problem is to plug in all of the variables that are known.  Example 1: What is the velocity of an object with a mass of 30 kg and a kinetic energy of 500 J?  KE = 0.5 x mv2 500 J = 0.5 x 30 x v2   Example 2: What is the mass of an object with a kinetic energy of 100 J and a velocity of 5 m/s?  KE = 0.5 x mv2 100 J = 0.5 x m x 52 Using algebra, you can solve for the unknown variable by rearranging all of the known variables to one side of the equation.  Example 1: What is the velocity of an object with a mass of 30 kg and a kinetic energy of 500 J?  KE = 0.5 x mv2 500 J = 0.5 x 30 x v2 Multiply mass by 0.5: 0.5 x 30 = 15 Divide kinetic energy by the product: 500/15 = 33.33 Square root to find velocity: 5.77 m/s   Example 2: What is the mass of an object with a kinetic energy of 100 J and a velocity of 5 m/s?  KE = 0.5 x mv2 100 J = 0.5 x m x 52 Square the velocity: 52 = 25 Multiply by 0.5: 0.5 x 25 = 12.5 Divide kinetic energy by product: 100/12.5 = 8 kg


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 the ratio of any two successive numbers in the Fibonacci sequence are very similar to the golden ratio. The n{\displaystyle n} represents whatever term you are looking for in the sequence. For example, if you are looking for the fifth number in the sequence, plug in 5. Your formula will now look like this: x5{\displaystyle x_{5}}=ϕ5−(1−ϕ)55{\displaystyle {\frac {\phi ^{5}-(1-\phi )^{5}}{\sqrt {5}}}}. You can use 1.618034 as an approximation of the golden ratio. For example, if you are looking for the fifth number in the sequence, the formula will now look like this: x5{\displaystyle x_{5}}=(1.618034)5−(1−1.618034)55{\displaystyle {\frac {(1.618034)^{5}-(1-1.618034)^{5}}{\sqrt {5}}}}. Remember to use the order of operations by completing the calculation in parentheses first: 1−1.618034=−0.618034{\displaystyle 1-1.618034=-0.618034}. In the example, the equation becomes x5{\displaystyle x_{5}}=(1.618034)5−(−0.618034)55{\displaystyle {\frac {(1.618034)^{5}-(-0.618034)^{5}}{\sqrt {5}}}}. Multiply the two parenthetical numbers in the numerator by the appropriate exponent. In the example, 1.6180345=11.090170{\displaystyle 1.618034^{5}=11.090170}; −0.6180345=−0.090169{\displaystyle -0.618034^{5}=-0.090169}. So the equation becomes x5=11.090170−(−0.090169)5{\displaystyle x_{5}={\frac {11.090170-(-0.090169)}{\sqrt {5}}}}. Before you divide, you need to subtract the two numbers in the numerator. In the example, 11.090170−(−0.090169)=11.180339{\displaystyle 11.090170-(-0.090169)=11.180339}, so the equation becomes x5{\displaystyle...


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{\displaystyle x} terms to get the following in general form: f(x)=2x2+5x+4{\displaystyle f(x)=2x^{2}+5x+4} A quadratic function results in the graph of a parabola. The parabola either opens upward or downward. If a{\displaystyle a}, the coefficient of the x2{\displaystyle x^{2}} term, is positive, then the parabola opens upward. If a{\displaystyle a} is negative, then the parabola opens downward. Look at the following examples:  For f(x)=2x2+4x−6{\displaystyle f(x)=2x^{2}+4x-6}, a=2{\displaystyle a=2} so the parabola opens upward. For f(x)=−3x2+2x+8{\displaystyle f(x)=-3x^{2}+2x+8}, a=−3{\displaystyle a=-3} so the parabola opens downward. For f(x)=x2+6{\displaystyle f(x)=x^{2}+6}, a=1{\displaystyle a=1} so the parabola opens upward. If the parabola opens upward, you will be finding its minimum value. If the parabola opens downward, you will find its maximum value. The value of −b2a{\displaystyle -{\frac {b}{2a}}} tells you the x{\displaystyle x} value of the vertex of the parabola. When the quadratic function is written in its general form of ax2+bx+c{\displaystyle ax^{2}+bx+c}, use the coefficients of the x{\displaystyle x} and x2{\displaystyle x^{2}} terms as follows:  For a function f(x)=x2+10x−1{\displaystyle f(x)=x^{2}+10x-1}, a=1{\displaystyle a=1} and b=10{\displaystyle b=10}. Therefore, find the x-value of the vertex as:  x=−b2a{\displaystyle x=-{\frac {b}{2a}}} x=−10(2)(1){\displaystyle x=-{\frac {10}{(2)(1)}}} x=−102{\displaystyle x=-{\frac {10}{2}}} x=−5{\displaystyle x=-5}   As a second example, consider the...


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, just use the formula -b/2a to get the x coordinate of the function 3x2 + 6x -2, where 3 = a, 6 = b, and -2 = c. In this case -b is -6, and 2a is 6, so the x-coordinate is -6/6, or -1.  Now, plug -1 into the function to get the y-coordinate. f(-1) = 3(-1)2 + 6(-1) -2 = 3 - 6 -2 = -5. The vertex is (-1,-5). Graph it by drawing a point where the x coordinate is -1 and where the y-coordinate is -5. It should be in the third quadrant of the graph. To get a sense of the function, you should plug in a few other x-coordinates so you can get a sense of what the function looks like before you start to look for the range. Since it's a parabola and the x2 coordinate is positive, it'll be pointing upward. But just to cover your bases, let's plug in some x-coordinates to see what y coordinates they yield:  f(-2) = 3(-2)2 + 6(-2) -2 = -2. One point on the graph is (-2, -2) f(0) = 3(0)2 + 6(0) -2 = -2. Another point on the graph is (0,-2) f(1) = 3(1)2 + 6(1) -2 = 7. A third point on the graph is (1, 7). Now, look at the y-coordinates on the graph and find the lowest point at which the graph touches a y-coordinate. In this case, the lowest y-coordinate is at the vertex, -5, and the graph extends infinitely above this point. This means that the range of the function is y = all real numbers ≥ -5.


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 some difficulties or make mistakes. Use your own voice to express how you feel. Don’t imitate the way someone else writes or speaks. You want this message to be uniquely yours and to reach your partner the way only you can. It must be sincere and reflect the real you on paper. Keep your partner in mind as you write your letter as well as the level of your relationship. Declaring your love to someone for the first time will probably be a little different on paper than writing a letter to your wife of 20 years. Remember to state your love somewhere in the letter. A simple "I love you" works just fine. Tell your beloved why you are writing the letter. You want to be clear that this is a love letter right away. Think about what led you to decide to write the letter. You can say something like, “I’ve been thinking a lot lately how much I love you, and I want you to know how much I cherish you.” Don’t insult your lover or depreciate yourself or your feelings in the letter. Be confident about how you feel and what you are saying to avoid confusion. This is where your memories, stories and all the things you appreciate about your partner will come in handy. Tell your lover what you love about them, why you love them, how they make you feel and remind them of a story that is unique to your relationship. Tell him or her how your life has changed for the better, and how your life would be incomplete without them in it.  The goal of the love letter is to express very deep feelings that you have a hard time conveying in person. Take...


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 sum is 0, write a 0 in the answer’s twos place. If the sum is 1, write a 1 in the answer’s twos place. If the sum is 2, write a 0 in the answer’s twos place, and carry a 1 into the fours column. If the sum is 3, write a 1 in the answer’s twos place, and carry a 1 into the fours column (3 twos = 6 = 1 two and 1 four). For example, if adding 0111 and 1110, for the twos column you would add 1 two, plus 1 two = 2 twos = 4, so place a 0 in the answer’s twos column and carry a 1 into the fours column. The possible sum is either 0, 1, 2, or 3 (if you carried from the twos place). If the sum is 0, write a 0 in the answer’s fours place. If the sum is 1, write a 1 in the answer’s fours place. If the sum is 2, write a 0 in the answer’s fours place, and carry a 1 into the eights column. If the sum is 3, write a 1 on the answer’s fours place, and carry a 1 into the eights column (3 fours = 12 = 1 four and 1 eight). For example, if adding 0111 and 1110, for the fours column you would add 1 four, plus 1 four, plus 1 four = 3 fours= 12, so place a 1 in the answer’s fours column and carry a 1 into the eights column. For simplicity’s sake, you can remember that 0 = 0, 1 = 1, 2 = 10, and 3 = 11. For example, if adding 0111 and 1110, for the eights column you would add up 2 eights, since you carried from the fours column. For a sum of 2, place a 0 in the eights column and carry a 1 into the sixteens column. Since there are no other numbers in the sixteens column, just bring that 1 down to the final answer. So 0111 + 1110 = 10101.


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 a 1 into the twos column, and drop a 0 in the answer’s ones place. Don’t forget to include any digits you carried over from the ones column. For example, if adding 1010 + 1111 + 1011 + 1110, you should circle 2 pairs of 1s, and have one 1 left over. For each pair of 1s, carry a 1 into the fours column and drop a 0 into the answer’s twos place. If there is only one 1, or if there is a 1 left over after circling pairs of 1s, then place a 1 into the answer’s twos place. If there are no 1s left over, place a 0 in the answer’s ones place. For example, since you circled 2 pairs of 1s and had one 1 leftover, you would carry a 1 into the fours column twice, and drop a 1 in the answer’s twos place. Don’t forget to include any digits you carried over from the twos column. For example, if adding 1010 + 1111 + 1011 + 1110, you should circle 2 pairs of 1s, since you carried 1 over twice from the twos column. Carry over a 1 into the eights column for each pair of 1s. Don’t forget to put a 1 in the fours place if you have one 1 left over, or a 0 in the fours place if you have no 1s left over. For example, since you circled 2 pairs of 1s with none left over, you would carry a 1 into the eights column twice, and place a 0 in the answer’s fours column. Don’t forget to carry a 1 into the next column for each circled pair, to place a 1 in the answer if there is a 1 left over, and to place a 0 in the answer if only zeros remain in the column. For example, if adding 1010 + 1111 + 1011 + 1110, for the eights place you should circle 3 pairs...


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 program to streamline the process. The process of finding a data set's mode is easier to understand by following along with an example problem. In this section, let's use this set of values for the purposes of our example:. In the next few steps, we'll find the mode of this set. Next, it's often a wise idea to sort the values of your data set so that they're in ascending order. Though this isn't strictly required, it makes the process of finding the mode easier because it groups identical values next to each other. For large data sets, it can be practically a necessity, as sorting through long lists of values and keeping mental tallies of how many times each number appears in the list is difficult and can lead to mistakes.  If you're working with paper and a pencil, re-writing can save time in the long run. Scan the set of numbers for the lowest number and, when you find it, cross it off in the first data set and re-write it in your new data set. Repeat for the second-lowest number, third-lowest, and so on, being sure to write each number as many times as it occurs in the original data set. With a computer your options are more extensive - for instance, most spreadsheet programs will have the option to re-order lists of values from least to greatest with just a few clicks. In our example, after re-ordering, the new list of values should read:. Next, count the number of times that each number in the set appears. Look for the value that occurs most commonly in the data set. For relatively small data sets with points...


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 back to the right place, as described at the end of this section.  Example 1: to calculate 260 x 0.3 on a slide rule, start with 2.6 x 3 instead. Example 2: to calculate 410 x 9, start with 4.1 x 9 instead. Find the smaller number on the D scale. Slide the C scale so the "1" on the far left (called the left index) is directly in line with that number.  Example 1: slide the C scale so the left index is in line with the 2.6 on the D scale. Example 2: slide the C scale so the left index is in line with the 4.1 on the D scale. The cursor is the metal object that slides over the entire slide rule. Line the cursor up with the second number in your multiplication problem, on the C scale. The cursor will point to the answer to your problem on the D scale. If it can't slide that far, go to the next step.  Example 1: slide the cursor so it points to 3 on the C scale. At this position it should also point to 7.8 on the D scale, or extremely close to it. Skip ahead to the estimation step. Example 2: try to slide the cursor so it points to the 9 on the C scale. On most slide rules, this will not be possible, or the cursor will be pointing to empty air off the end of the D scale. See the next step for how to fix this. If the cursor is blocked by a "bridge" in the center of the slide rule, or if the answer is "off the scale," take a slightly different approach instead. Slide the C scale so the right index, or the 1 on the extreme right end, is located over the larger factor in the multiplication problem. Slide the cursor to the...


Запишите число в двоичной системе счисления, а степени двойки справа налево. Запишите цифры двоичного числа под соответствующими степенями двойки. Соедините цифры в двоичном числе с соответствующими степенями двойки. Запишите конечное значение каждой степени двойки. Сложите получившиеся значения. Запишите ответ вместе с нижним индексом, равным системе счисления. Используйте данный метод, чтобы преобразовать двоичное число с десятичной точкой в десятичную форму.

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Let's say we want to convert the binary number 100110112 to decimal. First, write it down. Then, write down the powers of two from right to left. Start at 20, evaluating it as "1". Increment the exponent by one for each power. Stop when the amount of elements in the list is equal to the amount of digits in the binary number. The example number, 10011011, has eight digits, so the list, with eight elements, would look like this: 128, 64, 32, 16, 8, 4, 2, 1 Now, just write 10011011 below the numbers 128, 64, 32, 16, 8, 4, 2, and 1 so that each binary digit corresponds with its power of two. The "1" to the right of the binary number should correspond with the "1" on the right of the listed powers of two, and so on. You can also write the binary digits above the powers of two, if you prefer it that way. What's important is that they match up. Draw lines, starting from the right, connecting each consecutive digit of the binary number to the power of two that is next in the list above it. Begin by drawing a line from the first digit of the binary number to the first power of two in the list above it. Then, draw a line from the second digit of the binary number to the second power of two in the list. Continue connecting each digit with its corresponding power of two. This will help you visually see the relationship between the two sets of numbers. Move through each digit of the binary number. If the digit is a 1, write its corresponding power of two below the line, under the digit. If the digit is a 0, write a 0 below the line, under the digit. Since "1" corresponds with "1", it becomes a "1." Since "2" corresponds with "1," it becomes a "2." Since "4" corresponds with "0," it becomes "0." Since "8" corresponds with "1", it becomes "8," and since "16" corresponds with "1" it becomes "16." "32" corresponds with "0" and becomes "0" and "64" corresponds with "0" and therefore becomes "0" while "128" corresponds with "1" and becomes 128. Now, add up the numbers written below the line. Here's what you do: 128 + 0 + 0 + 16...


Запишите, как табак и алкоголь влияют на вас. Найдите свои триггеры. Установите цели.

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Having a written record of the negative effects of alcohol and tobacco will serve as a constant reminder of why you have chosen to quit. Keep it in a place you can reference it easily.  Reflect on any decreased physical or mental health as a result of tobacco and alcohol. Have you gained weight or decreased fitness as a result of using? Do you become angry without alcohol, or anxious without tobacco? Many people choose to quit addictions because they feel sick and tired of feeling sick and tired, and engaging the addiction is more draining than the positive effects of the substance.  Consider how tobacco and alcohol interfere with your relationships and social life. Think of financial costs alcohol and tobacco cost you. Use a notebook to record the times throughout the day you smoke or drink alcohol. Record what feelings or situations preceded using alcohol and tobacco. Avoid situations that may trigger you in the future.  A trigger could be getting into an argument with your family or something not going well at work. Because alcohol and nicotine are highly correlated substances, one can trigger the other. For example, if you begin drinking, you may want to have a cigarette. Be clear on whether you want to stop altogether or slowly taper your use. While some may want to quit for social or health reasons, others may want to quit due to medical reasons or because they have an addiction. Reflect on your reasons and then choose your goals. If you are an alcoholic, it is best to cut alcohol out altogether and not taper it down.  People who smoke have a much harder time quitting alcohol and also tend to relapse more than people who do not smoke. Set goals that include concurrently quitting both nicotine and alcohol together. Write down a date for each goal to solidify the commitment.


Запишитесь в клуб, в котором вы сможете приобрести художественные, музыкальные или языковые навыки. Прочитайте новую книгу, журнал или комикс. Создайте летний плейлист. Посетите музей. Устройтесь на работу с неполным рабочим днем.

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Plenty of community colleges, local businesses, and community centers offer summer classes. If you’ve always wanted to learn how to play the piano, paint a portrait, or speak Spanish, now is the time to do it.  For example, check out your local music shop if you’re interested in learning guitar. They might have lessons available during the day. If you’re interested in language classes, check your local community college for classes. During the school year, it can feel like you have no time to read for fun. Pick a topic or story that interests you and read about it. Even if you only finish one book over the summer, it can keep your mind sharp for when classes start again. Some bookstores will have a summer reading section just for young adults. You can also check out the new arrivals rack for your next favorite title! If you have some time on your hands, use apps like Spotify, Apple Music, or Google Play to make a summer playlist that you can listen to. The songs can be any genre or a mix of a few different ones, as long as they make you think of summer!  For example, you can mix some of your favorite songs in with new summer releases or hot songs at the beginning of the summer. If you’re going on a trip, make a road trip or traveling playlist with just songs about traveling or going to new places. Museums are a fun way to spend time inside away from the heat and learn something new. Many local museums will also offer discounts to students, or have weekends during the summer where they offer free entry. Take advantage of a great opportunity!  If you like art, visit a local gallery or an art museum. Many places have local history museums where you can learn about the history of your town. You might even get to touch some of the artifacts or talk to someone who witnessed a historical event. Summer jobs can teach you a lot while also letting you earn some spending money on the side. Working part-time during the summer is fun and rewarding, and also leaves you with time to spend with friends and family. Look for...


Запишитесь в программу по контролированию гнева. Попробуйте психотерапию. Попросите своего врача назначить вам лечение.

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Fortunately, anger management programs have been shown to have a high rate of success. The most successful programs help you understand your anger, give you short-term strategies to deal with your anger, and help you build skills. There are a wide variety of options for anger management programs. For example, there are anger management programs available for teens, executives, police officers, and other populations of people who might be experiencing different types of anger for different reasons. Therapy is a great way to find new ways of dealing and expressing anger. You can take your anger journal, for instance, and bring it to therapy with you.  Your therapist will most likely use relaxation techniques to help you calm down in the middle of an anger episode. Your therapist will also help you deal with the thoughts that can trigger anger and find new ways to view your situations. Therapists will also help you with emotional coping skills and assertiveness communication training. You may choose to see a psychotherapist who specializes in a person's history to resolve problems today, such as overcoming an abusive or neglectful childhood, or overcoming a tragic event. This can be very helpful in dealing with anger from past events. Find a therapist in your area by using the American Psychological Association's Psychologist Locator. Anger is often part of a different disorder, such as bipolar disorder, depression, or anxiety. Drug therapy for anger will depend on the condition with which the anger is occurring. Taking the medications for the disorder could help the anger as well.  For example, if the anger is occurring with depression, anger could be treated along with other depression symptoms with antidepressants. If irritability is occurring as a part of generalized anxiety disorder, selective serotonin reuptake inhibitors (SSRIs) such as Lexapro or Prozac might be used to treat the disorder. In the meantime, these drugs can help with your irritability. Each drug has side effects. For example, lithium is...


Запишитесь в тренажерный зал, если вам нужно сочетание силовых и кардиоупражнений. Если вам нужна низкоинтенсивная нагрузка, попробуйте заниматься йогой. Запишитесь на групповые занятия, чтобы мотивировать себя еще больше. Занимайтесь с личным тренером, если хотите, чтобы с вами работали отдельно. Занимайтесь дома, если у вас недостаточно времени или денег. Начните с простых силовых упражнений. Используйте фитнес-трекер. Занимайтесь спортом вместе с другом.

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A gym’s main benefit is convenience: it has cardio machines, weight machines, and free weights (among other equipment) all in 1 place. If your main exercise goals are to improve your heart rate, lose weight, or bulk up on muscle, a gym is the best place to start.  Don’t worry about feeling intimidated by other gym members, either. Most people at gyms are supportive of one another, and mind their own business. Average gym membership costs can range from $20-45 USD per month. If that’s more than you can afford, try looking around for a discount gym in your area. Discount gyms may have fewer machines and weights, but can cost as little as $10 USD per month. Yoga is a great add-on exercise to a cardio routine, and it is very relaxing. Look into yoga if you’d like a calming, centering experience that also stretches and builds tone in your muscles. Many YouTube channels offer yoga guidance. You can also look into taking a yoga class at a nearby gym. Being around a group of other people who are doing the same exercise routine as you are can be fun. You’ll be motivated to keep up with everybody else in the group, and can make some friends among your classmates. Taking classes is also a great way to figure out which type of exercise you enjoy most and would like to pursue further. Most gyms and workout facilities offer classes at all different skill levels. If you’re just starting a new type of exercise—e.g., a spin class or yoga class—check out the beginner-level course. A trainer can familiarize you with the gym, show you how equipment works, and answer any exercise-related questions you may have. Even if you don’t plan to work with a personal trainer long-term, having 2 or 3 sessions with a trainer can be a great way to learn about different types of exercise and find one that you enjoy.  Depending on the gym you’re a member at, you may be entitled to a free session with a personal trainer just for signing up. Once the free sessions have expired, you’ll be looking at an average cost of $80-125 USD per session to...


Запишитесь в тренажерный зал. Обеспечьте здоровый сон. Обеспечьте здоровое и сбалансированное питание. Пейте много воды. Откажитесь от вредных привычек.

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The best athletes know that training doesn't stop at sports skills. You want your body to be as sharp as it can be for whatever sport you're playing. On the downtime away from sports, keep your body in general shape by going to the gym. Although it may seem daunting or expensive, it is absolutely worth the investment if you want to be good at sports. There are lots of benefits to going to a gym. As you'll know from playing in sports teams, exercising with others is very motivating. Do some research into a prospective gym before you pay for a membership. Go for a tour, and ask for details. Make sure the gym fits the circumstances of your life before you make your first payment. This one should come as obvious, but you might be surprised how often proper sleep is glazed over. This is especially true during times of intense practice or training, where things get so busy it becomes hard to cram everything into a regular day. Nonetheless, your body needs its full rest. If you're a teen, you should sleep 8-10 hours each night. If you're an adult, get 7-9 hours of sleep each night. Everyone should make a point of eating a diet that benefits their body. This is especially true if you want to be great at sports. Eating junk food will work against whatever efforts you make in the gym. Base your diet on vegetables, leafy greens, legumes, lean proteins, and whole grains. Cut back on "empty calories" (like soda) and replace them with things that improve your health. If you're lactose intolerant, try going without dairy. It may sound hard, but you'll see benefits within a month. Water cannot be underestimated as part of a healthy diet. Staying hydrated will help you feel mentally and physically your best. Water regulates everything, and you should expect to lose some of your natural hydration via sweat while you exercise.  The common "8 glasses a day" guideline isn't mandatory, but you should try to keep water next to you whenever you can. It's especially important to stock up on water while you're exercising. Keep a...


Запишитесь к ветеринару, специализирующемуся по лошадям. Пусть ветеринар проверит вашу лошадь на самые простые проблемы. Узнайте, есть ли у лошади паразиты или другие проблемы со здоровьем.

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An abused horse may have suffered physical abuse or neglect. Both leave scars in their own way. First off, get the horse examined by an equine vet. You will need to know the extent of any physical damage that has been done to the horse, and should have a frank discussion about the long term and ongoing cost of medication, should that be required. It is likely that basic health care, such as worming, vaccination, teeth and hoof care, are lacking. The veterinarian needs to examine the horse’s teeth to see if they need filing down. The vet should also check the hooves to determine what remedial action is required to get them back into good condition. In addition to other physical examinations, the veterinarian may take a fecal sample away for analysis to investigate what types of worms the horse may have. He or she will also decide on appropriate worming treatments. Worming treatment will be discussed in Method 2. In the case of a starved horse the vet can also advise on how to gradually improve the horse's body condition in the way that is least likely to induce health problems. Weight gain will be discussed in Method 3.


Запишитесь к врачу, если у вас есть симптомы полипов. Используйте спреи со стероидами. Попробуйте закапывать нос каплями со стероидами. Принимайте преднизон. Принимайте антибиотики в таблетках. Подумайте об операции.

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Often, nasal polyps do not show symptoms, and you may live your whole life without knowing they are there. If polyps grow larger, however, you can experience complications that will require medical attention. If you have the following symptoms, you should visit the doctor and see if you are suffering from nasal polyps. If they test you and confirm that you have polyps, there are some medical treatments they may recommend.  An excessively runny or stuffed up nose. Decreased sense of smell and taste. Pressure on the forehead or face. Feeling like your nose is clogged when mucus isn't present. Headaches. Pain in your upper row of teeth. Steroid sprays can help to reduce the size of your nasal polyps. If the polyps were small enough, they might disappear completely when treated with steroid sprays. Some steroid sprays are sold over the counter at pharmacies, but stronger varieties are available with a prescription. Talk to your doctor about using a steroid spray and see if it would work for you. Some of the common nasal sprays include beclomethasone, budesonide, fluticasone, mometasone, and triamcinolone. Nasonex is the most common brand name for steroid nasal sprays. Nasal drops, like nasal spray, help to shrink your polyps. Nasal drops can also clear up congestion, which can help you to breathe more easily while your polyps shrink. Most nasal drops take between 7 and 14 days to begin reducing polyps, and it is generally recommended that you continue to use them for another four to six weeks. When administering nasal drops, you should bend fully forward and downward. You should almost feel like you are about to try to stand on your head. Put the drops in your nose while your head hangs down. Keep your head down for 3 to 4 minutes after administering the drops to make sure that the drops reach your nasal cavity. Prednisone is an oral corticosteroid that reduces swelling and inflammation. It can help treat the inflammation in your nose and thus reduce the size of your nasal polyps. You can only get this steroid...


Запишитесь к врачу. Не контактируйте с окружающими. Попросите врача назначить вам антибиотик. Спросите врача о препаратах, подавляющих кашель. Вовремя делайте прививки.

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During the first 2 weeks of pertussis you will likely think you have a cold or the flu. Therefore it can be hard to determine if you should see your doctor at this point. However, if you know for a fact that you've been in contact with someone else who has been diagnosed with pertussis, see a doctor immediately when symptoms begin. Otherwise the timing of a doctor's appointment will need to be based on how you feel. If the cough gets worse, and turns into coughing fits, that may be a good time to consider seeing your doctor. Pertussis is extremely contagious, and can be fatal to infants. To be safe, not just for yourself but for everyone around you, expose yourself to as few people as possible. This means you should stay home from work and school, you should not attend events outside of your home, you should not have friends over just for socializing, etc. If you have children at home, make sure you stay away from them as much as possible, and that they're washing their hands often. Pertussis is caused by a bacteria called Bordetella pertussis. This bacteria can be spread from person to person via liquid droplets in the air caused by coughing or sneezing. People who have not been vaccinated, and infants, are more susceptible to the disease. In the case of infants the disease could be fatal. The bacteria is normally in your system for the first 3 weeks after you've been infected, and it is during this time that you can also be contagious. Your doctor may decide that an oral antibiotic may help prevent you from passing the disease onto someone else. It will also help clear up the infection faster. In general, over-the-counter cough suppressants don't help the cough caused by pertussis, but there are alternatives your doctor may consider. Both corticosteroids and albuterol have been known to reduce coughing fits, but must be prescribed by a doctor. Vaccines in and of themselves do not offer a cure, but they help your body build the proper immunities to very serious diseases. This then helps to prevent you from...


Запишитесь к гинекологу. Узнайте у врача о гормональной терапии. Попробуйте поставить эстрогеновое кольцо. Учтите препараты, которые вы уже принимаете.

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Vaginal dryness has a number of causes. If your vaginal dryness came on suddenly, you should see your gynecologist to rule out medical causes.  Usually, the cause of vaginal dryness is benign. Menopause, childbirth, and breastfeeding can all alter hormonal levels and cause dryness. However, occasionally vaginal dryness is caused by more serious problems like certain cancers and immune disorders. This is why it's important to see a doctor quickly if you notice any changes as for these types of diseases early intervention is important.  Sjogren's Syndrome is an autoimmune disease in which your body's immune system attacks healthy tissues. In can lead to vaginal dryness, in addition to other symptoms like dry eyes and a dry mouth. Your doctor can perform a blood test to see if you have Sjogren's Syndrome. If you're entering menopause, hormonal replacement therapy (HRT) can ease many symptoms including vaginal dryness.  Not only can hormone replacement therapy improve vaginal dryness, it can help with other symptoms of menopause such as hot flashes. Usually, you would wear a patch or take oral tablets of low doses of estrogen and other hormones that your body produces less of as you enter menopause.  Hormone replace therapy does carry some risks. Oral combined hormone pills that contain estrogen and progesterone have shown to increase the risk of breast cancer,  heart attack, and stroke. Talk to your doctor about these risk factors and how they might apply to you. An estrogen ring is a form of hormone replacement therapy that many women find easier to use than pills. Your gynecologist inserts a small, flexible ring into the upper part of your vagina. The ring will release doses of estrogen on a regular schedule. It will need to be replaced every three months. Oftentimes, vaginal dryness is a side effect of existing medication. Decongestants especially, found in many cold or allergy medications, can lead to vaginal dryness. If you believe your dryness is caused by your medications, talk to your doctor about...


Запишитесь к дерматологу. Используйте средства против акне. Принимайте препараты. Пройдите курс местного лечения.

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If you have hard pimples, you should be seeing a dermatologist. They can help treat your acne and help prevent scarring. If you have tried any at home methods for two to three weeks and seen no improvement, you should visit your doctor.  When you schedule your appointment, let your dermatologist know which of the methods listed above you are interested in trying to get a professional opinion about whether the methods will help in your particular case. Your dermatologist may recommend other approaches to acne, like using over-the-counter treatments, like topical benzoyl peroxide or salicylic acid. Nothing can replace having a trained physician physically examine and look at your unique skin. Without guidance of a dermatologist, you may cause more problems for your skin. You can buy many different washes, creams, and spot treatments to help get rid of acne. Get a product with benzoyl peroxide or salicylic acid.  Be aware that these products may irritate your skin and make your acne worse. Discuss using these medicated acne products with your dermatologist. Many different acne creams or ointments are sold stores. However, your doctor can also prescribe you stronger ointments, including antibiotic ointments. Your doctor may recommend medicine for your acne. This may be used in conjunction with at-home treatments. See your dermatologist to discuss your specific case of acne, medication options available, and any side effects. Common treatments include retinoids, topical or oral antibiotics, oral contraceptives (for women), an anti-adrogen agent, and isotretinoin. If you have tried at-home treatments and medication with no success, your doctor may suggest a different treatment Your dermatologist may recommend therapies for hard pimples. These include:  Lasers and other light therapies. Lasers and light therapies can kill off and reduce the numbers of the the P. acnes bacteria. . Chemical peels. These are professional strength chemical peels. Though these are most often used to treat blackheads and papules, your...


Запишитесь к мануальному терапевту. Попробуйте акупунктуру. Спросите врача об альдостероне. Попробуйте слушать звуки определенной частоты, подобранные специально для вас.

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Temporomandibular joint (TMJ) problems, which can cause tinnitus, can be successfully treated with chiropractic treatment.  TMJ problems may trigger tinnitus because of the proximity of muscles and ligaments that attach to the jaw and the hearing bones.  A chiropractic treatment would consist of manual manipulation in order to re-align the TMJ. The chiropractor might also manipulate the vertebrae of the neck in order to decrease the symptoms of tinnitus.  Chiropractic adjustments are not painful, but they may cause some temporary discomfort. The chiropractic treatment may also include the application of heat or ice and specific exercises.  Chiropractic treatments can also help with Meniere’s disease, another less common cause of tinnitus. A recent review of studies of the success of acupuncture for tinnitus concluded that there was some cause for hope. Acupuncture techniques would vary based on the underlying cause for the tinnitus. These techniques also often include traditional Chinese herbs. There's no guarantee that acupuncture will help. Aldosterone is a hormone found in your adrenal gland that regulates sodium and potassium in your blood. Aldosterone deficiency may cause tinnitus, so taking a supplement may help you find relief. Talk to your doctor if you think you may need more aldosterone. There is a relatively new approach that may be useful for some. The idea is to find the frequency of the particular sound in your ears and masking that specific frequency with specially designed sounds.   Your ENT or audiologist may have recommendations about these treatments. You may also find these treatments available online for a fee through websites such as Audionotch and Tinnitracks. These services walk you through testing for the specific frequency of your tinnitus and design a treatment protocol.


Запишитесь к психологу. Откройте пути для общения. Оставьте противоборства в прошлом.

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Couple’s counseling can be incredibly helpful after a partner has been unfaithful. Find a counselor that specializes in helping couples cope with infidelity. You and your partner should meet with them regularly to work on healing your relationship and moving forward.  Your partner should be involved in the decision to go to couple’s counseling. Let them know that you would like to seek professional help mending your relationship, and make them an equal and active partner in deciding which counselor is right for you. Set up a therapy schedule that works for both of you. Since you are attending as a couple, you will need to find time once a week or once every other week where you can go in together. Be considerate of your partner’s schedule when you make appointments. Let the counselor know directly that you are there to work past infidelity. Understand that recovery will take time, but let your therapist know you are looking for long-term solutions. Open and honest communication will be essential to helping rebuild trust between you and your partner. Stay in touch with your partner, and be honest about your feelings and your daily activities.  If your partner lets you know that they want more communication about where you are and what you are doing, be understanding and work out a plan to check in with them. Communicate honestly with your partner about your everyday thoughts and feelings. Allow yourself to be emotional and express struggle or regret if that is what you are feeling. Equally as important, allow your partner the chance to communicate. Engage them in conversation, make an effort to not only listen but truly internalize and work to understand what they are saying. Actively listen by repeating back what you hear them say. You and your partner will likely fight as you try to move forward. It is important that you try to work past confrontation, though, rather than fighting to win. Try not to bring up old arguments or unrelated subjects, as this will likely only upset your partner further.  Try to...


Запишитесь к психотерапевту. Поддержка от родственников и друзей. Посещайте группу поддержки. Обратитесь на горячую линию жертв домашнего насилия.

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Therapy is a beneficial part of your recovery from an abusive relationship. This person can help you talk through your feelings and emotions. She can also help you develop tools for handling stress, relationships, and other challenges in life.  Find someone who specializes in dealing with abuse or trauma. This person will be skilled at helping you work through anxiety and other emotions.  You might also choose to visit regularly with your pastor or minister, social worker, or other person who can give you a listening ear and objective advice. You need support on which you can rely on a day-to-day basis. Spend time with people who are supportive and kind. Reconnect with friends or family, especially if you have been isolated during your abusive relationship. Don’t be shy about asking them for what you need. This might be your friend keeping you from texting your ex to talking about your feelings. There are many different support groups for domestic violence victims. Some meet in person, while others are online support groups. These are good places for you to connect with people who have gone through similar experiences as you. Domestic violence hotlines have numerous resources, including advocates who will help you navigate recovering from an abusive relationship. Hotlines also can give you lists of books and other publications with information on abuse, as well as directories of local organizations that can offer support. These hotlines usually have websites too, such as the National Domestic Violence Hotline’s website, www.thehotline.org.


Запишитесь к своему лечащему врачу. Поговорите со своим партнером о своих переживаниях. Найдите духовного наставника.

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Consider having an exam to rule out any physical problems that may be causing your sexual urges. Sometimes, illness or disorders can disrupt hormones and can make you feel hypersexual.  Your doctor may ask you to see a psychologist or psychiatrist to get you evaluated for any mood disorders. For example, a high desire for sex is a symptom of bipolar disorder.  Be honest with your doctor about your sexual urges and express your concerns. Estimate how many times a day you think about sex or act on a sexual urge. For example, you might say, “I watch porn and masturbate four times a day.” Your doctor can help you determine if your behavior is problematic or within the range of normal. If you are currently in a relationship, talk to your partner about your sexual urges. If you are feeling sexually unsatisfied in your relationship, be honest and discuss how the two of you could make an effort to prioritize sex.  You could say, “I am wondering if I am having so many urges because we haven’t really been having sex lately. What do you think? Are you happy with our sex life?” Understand that you and your partner may have different levels of sex drive. You may want to have sex more frequently than your partner. This doesn’t make either of you wrong or right, it is just how you were made. Be honest with yourself and each other about if this can be managed or if this is a deal-breaker for the relationship. Talk to your partner if you feel compelled to cheat on them. Be honest, even though it may be a difficult conversation. You could say, “I know this is painful to hear, but I am having sexual urges toward other people. I am telling you this because I want to be honest, and I am struggling.”  Consider seeing a couples counselor with training in sexual addiction or sexual problems to help you navigate your relationship.  Talking to a trusted friend may also be a good option. They can help to hold you accountable for your goals, listen to you when you need to vent, and provide objective feedback. If you are concerned about...


Запишитесь на актерские курсы или в театральную студию. Посещайте школьный драматический кружок. Выберите специализацию: Получите актерское образование в профильном учебном заведении. Используйте все возможности. Поддерживайте хорошую физическую форму. Научитесь петь и танцевать, чтобы расширить свои актерские навыки. Постоянно репетируйте, чтобы работать над собой.

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Search online for classes offered by your community center or find an acting studios in your area. If you have no background in acting, this is a great way to meet other actors and actresses and learn the basics. Call the studio to see when the next class cycle starts and determine if it’s in your budget.  A good studio will show you the basics first. Any studio or teacher who boasts, or worse, promises, they can make you a “star.” should be avoided.  It may take years to develop and hone your acting skills, so don’t get discouraged if you aren’t a natural. Consider becoming an actress and focusing less on being famous. If your secondary education option offers it, drama is a good way to begin acting early on. Acting requires you to understand complex scripts, memorize hundreds of lines, and have the ability to perform in front of an audience. Taking drama in high school, for example, will give you an introduction into many of these key acting areas. Make sure to audition or register, depending on what’s required.  Famous Actresses can be stars of stage or screen. Voice only work is common too such as radio or movie voiceover rolls.  Taking drama in school can improve interpersonal skills, as well as, mental, physical, and emotional development. Stage and screen acting are in very different environments. Stage acting is a performance in front of a live audience. You'll be given time to rehearse and learn lines more so than on film or in a television show. You’ll learn stage acting in high school drama, but some of these skills also translate to the screen.  Other differences include the ability to vocalize. Acting for television and film, utilizes microphones that are able to pick up minute sounds, while you need to resonate vocally on stage. Costume changes often have to occur much quicker with stage acting. When looking for colleges or universities to attend, consider selecting an acting school. Some of the best schools for drama and the performing arts include The Juilliard School, Yale School of Drama,...


Запишитесь на анализ. Не ешьте в течение 10-16 часов. Возьмите с собой книгу или смартфон. Будьте готовы к предварительному взятию крови. Выпейте раствор глюкозы. Будьте готовы сдавать кровь несколько раз после того как выпьете раствор. Научитесь разбираться в результатах анализа. Знайте о возможных погрешностях анализа.

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As the oral glucose test lasts an hour after you have consumed a glucose solution, it is recommended you make an appointment to reduce the time you wait in line before the clock starts ticking (see next steps).  Call a few days ahead when you want to take your test and make the appointment. Then, fast the night before your appointment. Be sure to use a laboratory that is the primary provider for your health insurance. This type of glucose test is used to understand how your body processes glucose.  This test requires you to fast, usually 10–16 hours before the test is given. Eat normally several days before the oral glucose test, then fast the night before. The only thing that you can consume during the fast is water.  Please note that if you take medications, ask your doctor if the medicine will affect the test results. Oral glucose test will take a few hours to complete. Thus, you may want to bring along a book or play a game or watch a movie on your smartphone, laptop, or tablet. Also remember to bring the form you received from your doctor to your appointment so the laboratory personnel knows which test to perform. The first blood sample is collected when you arrive to give a baseline reading (before sugar is added into the bloodstream). The laboratory technician will perform a venipuncture to draw your blood. After your first blood sample is taken, you will be asked to drink 8-ounce glucose solution. The solution resembles a soda drink with a higher sugar content (about 75 grams). After you drink the solution, you need to sit and wait. Relax by reading a book or watching a movie on your smartphone. Your blood will be drawn three to four times after the glucose solution is absorbed into the bloodstream. This will give your doctor a better picture of how your body processes the glucose in the drink.  The first venipuncture is done 30 minutes after you consume the solution. The remaining two or three tests are done one and two hours, and sometimes even three hours after you consumed the solution. Each test...


Запишитесь на занятия в местном университете или колледже. Запишитесь на онлайн-курс. Используйте мобильное приложение. Изучите веб-сайт, посвященные греческой мифологии.

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If you are not already in a class studying mythology, you can try taking one at the nearest university or community college. Greek mythology is a popular course, and many colleges offer it in both the spring and fall semesters, as well as over the summer. Courses typically cost from $100 at community colleges to over $1000 at universities. In the U.S., senior citizens can often take classes for free at community colleges. If you cannot make it to a university to class, you can take a course online instead. Many universities offer online courses, while you can also find them offered by for profit companies or even for free.   University courses – Universities such as Oxford, Duke, Brown, Harvard, and Yale offer online courses on Greek myths and heroes. Some of these, such as Harvard Professor Nagy’s course “Concepts of the Hero in Greek Civilization” are offered for free.  Paid Online Courses – The most well-known series of for-profit courses online are offered by The Great Courses at www.thegreatcourses.com.  Free Online Courses – There are a variety of sites that bring together free mythology courses from across the web, including www.mooc-list.com (for courses from the Massive Open Online Course project) and oedb.org (Open Education Database). It seems there is an app for just about everything, and Greek mythology is no exception. Download one and learn the basics of mythology from your phone. Some helpful apps include:  Learn Mythology Basics – iPhone / iPad GreekMythology.com - Android Greek Mythology by Anduin – Google / Android Greek Mythology by Socratica – Google / Android Greek Mythological – iPhone / iPad – Offers more detailed information on mythology and the ancient Greek world. There are several very good websites that present free information on the gods, heroes, myths, and locations of Greek mythology. They are useful as a reference or as an introduction to mythology. Some good websites include:  http://www.theoi.com http://www.greekmythology.com http://www.greekmyths-greekmythology.com


Запишитесь на занятия по тренировке баланса и укреплению мышц кора.

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There are many classes that can help improve both balance and core strength. Tai chi focuses on balance and controlled movement. Yoga combines breathing, balance, meditation, and stretching to work a broad range of muscle groups, including your core.  You can find classes at your local gym, yoga studio, community center, or community college. Try a few different types of classes and see which one(s) you enjoy the most.


Запишитесь на занятия. Выберите танцы в качестве основного предмета в институте. Запишитесь на пробы в местный театр. Поставьте танец для своей свадьбы сами. Отправляйтесь в клуб.

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If you want to become a professional dancer, you will need proper training. You will need to take a variety of classes, beginning with beginner classes and moving up as your skill level increases. However, classes can be fun and helpful even if your goal is to two-step at a local dance club. For cheap classes, check with local dance studios, your city's parks and recreation programs, and even your local community college. You can also major in dance at a university. However, these programs are very competitive, and most of them will be difficult to get into. Also, be aware that many dance programs require you to be a certain weight to be a part of the program. If you've taken a few classes and want to just have fun as a dancer, try auditioning for community theater. In most community theater programs, you'll run into amateurs like yourself, so you'll be in good company. Work with your future spouse to choreograph your dance for your wedding. It's one way to make that first dance truly special. Maybe you want to just impress your friends at the dance club. If that's true, try out your moves on a Saturday night.


Запишитесь на консультацию к преподавателю. Составьте план того, как можно улучшить свои результаты. Изучите свое расписание. Следите за учебным процессом. Учитесь лучше, а не больше.

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If you're concerned about how the grade(s) will impact your college future, consult with your guidance counselor to create a plan. Perhaps you took courses that were too difficult, or maybe you should explore other majors. With the assistance of your counselor (and perhaps your parents, guardians, or other mentors), create a plan that will get you back on track. Formulate a specific, step-by-step plan that will help you do better next time. Feeling as if you have power over the situation will help you find peace and give you goals to work toward for next time. This plan should include how many hours a week you will study, what grades you want in each of your classes, how you will manage any medical conditions, and how many hours a week you will socialize, work, etc. If you packed last semester’s schedule with high-level, difficult courses you may have the answer to why your grades tanked. Even the most highly intelligent individual should give him or herself a break. Try mixing difficult courses with some of your easier or lighter courses for a balanced schedule. The key to staying zen is to now keep up with your studies at a pace that matches what you need to be learning. Staying organized, committed, and persistent will help you to stay zen in your college studies. However, if the studies are not improving after you've made changes, then it's probable that you need to seriously consider changes to the career path you've mapped out for yourself. Spending energy on something that isn't working out for you will only worsen your situation. You do not want to spend sixteen hours a day studying if you are not learning anything. You will only burn yourself out. Find study methods that work for you in the future. There are a few tactics you can do to help improve memory and comprehension:  Rewrite your notes every night after class. This will help you recall details. It will also help keep your notes legible. Do ten flash cards a day. Memorize these ten before adding another ten the next day. Memorizing in small...


Запишитесь на консультацию к профессиональному астрологу. Предоставьте астрологу всю необходимую информацию. Внимательно выслушайте описание вашего знака. Попросите астролога составить карту совместимости. Задавайте любые вопросы.

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Run a quick internet search or check your local phone book to see if there’s an astrology expert operating in your area. Astrologers are certified in their knowledge of astral interpretation and are qualified to advise you on the zodiac, relationship compatibility and other matters of health and prosperity. Not all professional astrologers own businesses. Some might operate out of their homes, or perform astrological assessments as part of a holistic therapy treatment. Your best bet is to search the internet for astrology authorities in your vicinity. The astrologer you consult will need to know your date and time of birth, as well as a few other things about you. This will most likely take the form of a short, informal personal chat, as the astrologer will want to ensure that you’re comfortable talking about yourself and your personal matters before any advice is given. The astrologer will be able to offer insight into your own personality based on the traits that individuals born under your zodiac sign commonly exhibit. They will also go over optimal relationship matches, tips for keeping your business and financial affairs in order and warnings about how to avoid pitfalls in your personal life. Listen as these things are explained and consider how they apply to your life. Hearing the details of your zodiac sign explained to you by a professional can tell you a lot that you may not have even realized about yourself. Another service a professional astrologer can provide is relationship charting. If you know the zodiac sign and birth date of your crush or the person you're currently dating, the astrologer can create a compatibility chart that looks at factors like astral alignment and how well your elemental signs naturally complement one another and offer a prognosis for the potential of the relationship. Heeding the wisdom of an astrologer can give you a leg up when it comes to dealing with matters of the heart.  Talk with your astrologer about what traits you and your prospective partner have in common,...