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How many edges does a polyhedron have?

In geometry, a polyhedron is a closed three dimensional figure that contains "vertices," "edges" and planar surfaces called "faces." Some examples of polyhedrons are cubes, prisms and dodecahedrons. By using the derived formula, the number of edges of a cube, which has eight vertices and six faces, is equal to 12.

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Where can you find some good lessons on ratios?

Khan Academy differs from Purplemath in the format of the lessons. Purplemath is entirely text- and picture-based, while Khan Academy's lessons are video-based. The lessons are available 24/7, and individuals use them at their own pace. After completing the ratio lesson, the user can advance to the next lesson or fast forward to higher levels of mathematics. Khan Academy and Purplemath offer the full range of mathematics lessons, from early math to college level calculus.

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What comes after quadrillion?

In 1991 the 19th General Conference on Weights and Measures extended its list of approved metric prefixes to reach from one septillion to one septillionth. A septillion is a cardinal number represented in the United States by 1 followed by 24 zeros. Other prefixes on this list include kilo-, which equals 1,000, centi-, which equals 0.01 and mega-, which equals 1,000,000. These prefixes serve as multipliers for the base units in the International System of Units. For example, a 3-km race is a race that is three times 1,000 meters. The prefix for one quintillion is exa-. According to Techandfact..

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How do people use math in everyday life?

Math is important for time calculations and scheduling. Knowing how long it takes to complete an activity or travel to a destination helps when planning everyday activities.\nRecipes for cooking include measurements for ingredients. Math is used for defining the weight or amount of each ingredient. Using math to determine the necessary amount of an ingredient ensures that food has the desired consistency and flavor.\nFinancial math is an important aspect of shopping. Calculations are performed to determine a budget, or the amount of money available for spending. The prices of goods available f..

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What are some examples of mathematical functions?

A mathematical function is a well-behaved mathematical relationship, meaning that it relates exactly one output to one input, as opposed to other mathematical relationships that relate multiple outputs to an input or to more than one input. For example, consider the function f(x) = 2x, which relates the input x with the output f(x). For every number assigned to the input x, an output f(x) is generated, which in the case of this function is equal to exactly two times the input. The possible set of numbers assignable to the input x is called the domain, while the possible set of numbers the func..

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What are the factors of 32?

The most elementary method of factoring is to divide the original number sequentially by all whole numbers approaching it, including 1. All numbers, prime and composite, are divisible by 1 and themselves.\nA person can determine the factors of 32 by making a list beginning with 1 and ending with 32 and attempting to divide 32 by the next whole number after 1, which is the number 2. The answer, 16, is another whole number. Therefore, 2 and 16 can be added to the list between 1 and 32. Dividing 32 by the number 3 reveals that the result is not a whole number, so that number and 3 should not be a..

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What are partial product multiplication algorithms?

The parts of each number are figured out by separating each number into the sum of ones, tens and hundreds. For example, 67 is broken up into 60 + 7, and 53 is broken up into 50 + 3. If these two numbers are being multiplied together, the partial product multiplication algorithm calls for multiplying 50 by 60, 60 by 3, 50 by 7 and 7 by 3. The answers to these multiplication problems are then added together to get the answer to the entire problem.\nAnother common multiplication algorithm is to multiply the number in the ones spot in the bottom factor by each of the numbers in the top factor, ca..

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What are the converse, invere and contrapositive in geometry?

A conditional statement is represented in geometry by the symbols "if p, then q." The p represents the hypothesis and the q represents the conclusion.\nExample: “If it is sunny, then I will wash my car.”\nThe converse of a conditional statement occurs when the hypothesis and the conclusion switch places. Instead of "if p, then q," the converse is "if q, then p."\nExample: “If I wash my car, then it is sunny.”\nThe inverse of a conditional statement is when both the hypothesis and the conclusion are negated. The symbols of a negated hypothesis and conclusion are ~p and ~q meaning "if no..

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What is arc length parameterization?

Parameterization of a curve by arch length involves finding its arch length s(t), then calculating the inverse of the arch length t(s) and finally setting the new parameters, u = t(s). Both the arch length and its inverse are monotonically increasing functions if the curve is regular. A parameterized curve typically increases in length uniformly.

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How do you find the determinant of a 2x2 matrix?

The determinant of a matrix is one method to find out if the matrix is invertible. If the determinant of a matrix A is not equal to zero, then A is invertible; likewise, if the determinant is equal to zero, then A is not invertible.\nCalculating the determinant of a 3 by 3 matrix is more difficult than calculating for a 2 by 2 matrix, but the calculation can be done by hand. For larger matrices, the determinant is calculated using the property that the determinant of a diagonal matrix is equal to or the product of the elements on the diagonal. Using row and column permutations, transform the o..

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