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Who is an example of a calculus pioneer?

Sir Isaac Newton lived from 1642 to 1727 in England. Though he made many contributions to philosophy, science and mathematics, his contribution to early calculus was in the form of his method of fluxions. This method was used to solve problems involving curvatures. Newton preferred to express these equations geometrically but also conformed to the more popular algebraic style of expression at the time.

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What is a five-sided polygon?

If a pentagon consists of equal sides and equal angles, it is referred to as a regular pentagon; otherwise, it is called an irregular pentagon. The interior angles of a regular polygon measure 108 degrees. A pentagon consists of five straight, connected sides. If one of the five sides of a given shape is a curved line or if the five-sided shape is not a closed figure, then it is not a pentagon.

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How do you factor expressions?

Long, confusing algebraic equations are made more manageable by factoring. Knowing the steps to this method makes the equations easier to work with and understand.Find the highest common factorReduce the original equation by its greatest common factor. This is defined as the largest term that will divide evenly into the problem. For example, the GCF for 10y and 15y is 5y. This is because 5y divides evenly into both: 5y x 2 = 10y and 5y x 3 = 15y. However, the GCF for 12a and 18b would be 6: 6 x 2a = 12a and 6 x 3b = 18b.Reduce and rewriteOnce the GCF for the equation has been determined, reduc..

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What are some tips to learning Algebra?

Understanding algebraic concepts enables students to avoid problems that arise when they experience memory lapses. For instance, instead of memorizing that 5 raised to the power of 4 is equal to 625, the student can understand that 5 power 4 means 5 x 5 x 5 x 5, which translates to the same answer. In this case, the learner is able to infer that every time the power increases by one value, the product increases five times.\nUnderstanding basic algebraic notations helps students avoid mistakes when solving algebraic expressions. For instance, a student who does not understand algebraic notation..

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What is the formula used to find the area of an isosceles triangle?

In general, the formula for a triangle's area is area equals 1/2 * base * height. The side of the triangle that has a different length than the other two is the base; the height of the triangle is the length from the vertex of the two equivalent sides to the midpoint of the base. If "a" is the length of the base and "b" is the length of the two equivalent sides, then the Pythagorean theorem shows that another formula for area of an isosceles triangle is area = 1/2 * a^2 * sqrt((b^2 / a^2) - 1/4).

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What are the first eight multiples of the number six?

Factors are directly related to multiples. A factor of a number refers to any number that can be evenly divided into the original number. A multiple is the result of multiplying a number with an integer. The original number will always be a factor of the resulting multiple. For example, 6 evenly goes into 12 and 18, which means that 6 is a factor of 12 and 18.

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How do you round decimals?

Identify the rounding digitIf you are rounding to the nearest tenth, the rounding digit is the first number to the right of the decimal point. When rounding to the nearest hundredth, the rounding digit is two digits to the right of the decimal point. When rounding to the nearest thousandth, the rounding digit is three digits to the right of the decimal point. Decide to round up or downLocate the digit to the right of the rounding digit. If you are rounding to the nearest tenth, the digit to the right is in the thousandth place. Round up by adding one to the rounding digit if the digit to the r..

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What are some distinguishable permutations?

To use the mathematical formula for distinguishable permutations in the word "Mississippi," the factorial function of the number of letters in the word symbolized by "!" must be divided by the factorial functions of each of the unique letters in the word. In this case the number of letters is 11. There are four instances of the letter "s," four instances of "i," two instances of "p" and one instance of "m" in "Mississippi," so the factorial functions are "4! 4! 2! 1!" Thus, the full formula for finding the distinguishable permutations in "Mississippi" is "11! / 4! 4! 2! 1!"\nThe first step in ..

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What is the intersection of two rays with a common endpoint?

Rays are parts of lines that have one endpoint and extend in one direction indefinitely. In geometry, rays are important because they form angles when they intersect. However, there is a convention used that requires an angle to be named in a particular order. For example, an angle using points D, E and F in which E is the vertex and D and F are points on each ray may be referred to as angle DEF or angle FED, but the vertex (E in this case) must always be in the center of the letters.Different types of angles may be formed by the intersection of two rays, such as acute, obtuse, right or straig..

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What is a statement of scale?

According to the Intergovernmental Committee on Surveying and Mapping, scale defines a mathematical relationship between a map's size and the size of the piece of Earth that is being described. A statement of scale used as an example is 1:100,000, which means that every one unit on the map corresponds to 100,000 units on the Earth. For example, one centimeter on the map equals 100,000 centimeters, or one kilometer, on the Earth.\nAccording to Science Encyclopedia, a statement of scale may also use a verbal relationship rather than a numeric ratio. For example, a map may show a verbal rela..

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