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How do you simplify cube roots?

Find the factors of the cube rootFind the factors of the number under the radical sign. The factors are numbers that when multiplied together equal the number. For example, the number 54 can also be expressed as 9 x 2. Continue factoring until all the factors are prime numbers. For 54, the final prime factorization is 3 x 3 x 3 x 2. Factor out numbers appearing three timesTo simplify the cube root, factor out any prime factor that appears three times into its own cubic root expression. For example, the cube root of 54, which factors into the cube root 3 x 3 x 3 x 2, is factored as the cube roo..

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What is an example of a prime polynomial?

A given expression is a polynomial if it has more than one term. An example of a polynomial that can be factored would be x2+4x+4. In this case, the polynomial can be factored to (x+2)(x+2). To factor a polynomial, first look for the greatest common factor and then either factor by grouping, factor as a difference or sum or two squares or cubes or factor as a product of two binomials.

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How are circles used in real life?

Circles are special ellipses that have a single constant radius around a center. Circles and their various properties, such as the radius, diameter, circumference and area, have applications in real life. If the radius of the circle is known, all the other parameters can be calculated. Important information can be determined for real life applications based on the parameters. For example, knowing the circumference of the planets helps us compare their relative sizes, and artificial satellites that are launched travel in orbits of certain circumference.\nThe radius of curvature of a camera lens..

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Is the number 37 a prime number?

In general, if a positive, whole number is not a prime number, it could be a composite number. A composite number is one that has at least one other number that can be equally divided into it, other than the number one and itself.\nThe mathematical property of determining if a number is a prime or not is called primality.

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What is the sine of 120 degrees?

Values for trigonometric functions at specific angles are found through the unit circle. This mathematical device equates the values of sine and cosine, the other basic trigonometric functions, to specific important angles. Regardless of the position on the unit circle, the value of both basic functions always lies between negative 1 and positive 1. The unit circle also works in radians, which is a common mode on many calculators. In radians, 120 degrees is equal to 2(pie)/3, where pie is approximately 3.14.

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What is the best way to figure percentage?

The student got 80 percent of the questions correct. Percent means "per 100." If a student makes 80 percent on a test, this means that he would get 80 out of every 100 (or four out of every five if expressed in lowest terms) answers correct.\nIf a student wants to know how many correct answers out of 25 questions he needs to get to make 72 percent, the equation reads "x divided by 25 equals 0.72," since 72 percent is the equivalent of 0.72. Multiplying both sides by 25 yields x, equal to 18. Therefore the student needs 18 correct answers.

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Why are unequal class intervals sometimes used in a frequency distribution?

Wikipedia explains that frequency distribution is a representation of data in a grouped fashion that illustrates how often a particular interval is represented within a corresponding string of ungrouped data.\nFor example, the frequency distribution of times to finish a race might show the following:\n40-50 seconds: 4 runners\n50-60 seconds: 9 runners\n60-70 seconds: 2 runners\nEqual intervals work very well for tables that do not represent a large range or great amount of values. Math Is Fun shows that they can be easily converted into a histogram, which is like a bar graph but has connected ..

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What is domain and range interval notation?

The open parentheses indicate that the value immediately to the parentheses' left or right is not included in the domain or range. A closed parentheses indicates that the value is included in the function's domain or range. The infinity signs, either positive or negative, indicate that the function does not have an upper or lower limit or both. The union sign indicates that there is a break in the functions domain and range.\nAn example of a function's domain in interval notation is (3,4]. Here, 3 is not included and is the function's lower limit, and 4 is included and is t..

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Why do some shapes tessellate and others not?

Three main categories of tessellations exist: regular, semi-regular and demi. The three regular tessellations use one repeating polygon that produces an identical pattern at each vertex. Regular tessellations are constructed with triangles, squares or hexagons. The tessellations are named according to the number of sides in each intersecting shape. For example, a pattern of four lines intersecting at right angles is a 4.4.4.4 tessellation.\nThe eight semi-regular tessellations are composed of two or more regular polygons. They use the following combinations of shapes:\nTriangles and hexagons\n..

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How do you solve percentages?

Decide which way to solve the percentageA percentage problem can ask for a fraction or decimal to be turned into a percentage, or it can ask for a percentage to be turned into a fraction or decimal. To solve the problem, first figure out what the problem is asking you to do.Convert decimals and percentagesTo convert a decimal to a percentage, multiply the decimal by 100. This is shown by moving the decimal place two positions to the right. If the problem wants you to convert a percentage into a decimal, then divide the percentage by 100. This is shown by putting a decimal at the end of the per..

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