Math

Refine Search

What is the natural log of one?

The natural log function is the logarithmic function with base e, where e has a rounded value of 2.71828. The natural log function is the summation of all the values from one to x when x is greater than zero. The summation is taken from the function of the derivative of a number divided by the number. There are other natural log function values, such as zero, which produce a value of one.

Continue Reading

What is the standard form of "seven hundred and four thousand, six hundred and twenty"?

Numbers are abstract ideas that are written in three ways: standard form, word form and expanded form. Standard form is written in numerals, which are the corresponding symbols for numbers. When a given number is expressed in words, conversion is needed to render that same number in standard, or numeric, form. The given number is divided into two sections, called periods, that are divided by a comma.

Continue Reading

How do you graph quadratic equations?

A quadratic equation has an x^2 function in it and is typically represented in a y=ax^2 + bx + c format. When graphing along the x-y axis, the coordinates on the graph should form a parabolic curve that is drawn without using a ruler, so the curve is smooth and doesn't comprise linear segments.\nAnother method of plotting is to first find the vertex of the parabolic curve. The x coordinate of the vertex is found using the equation (-b/2a), and the y coordinate of the vertex is determined by substituting the x coordinate in the quadratic equation and solving it. The vertical plane of the v..

Continue Reading

What is repeated subtraction?

The basic concept of repeated subtraction is to repeatedly subtract the divisor from the dividend. For example, when dividing 20 by five using the repeated subtraction method, five is repeatedly subtracted from 20 until nothing is left. Five can be subtracted four times from 20, therefore 20 divided by five is equal to four.

Continue Reading

What are some multiples of 9?

A number is a multiple of 9 if it is a product of 9 and any other number; thus, if 9 is multiplied by numbers from 1 to 10, the results are: 9 x 1 = 9, 9 x 2 = 18, 9 x 3 = 27, 9 x 4 = 36, 9 x 5 = 45, 9 x 6 = 54, 9 x 7 = 63, 9 x 8 = 72, 9 x 9 = 81 and 9 x 10 = 90. The numbers 207, 486 and 657 are also multiples of 9, because 9 x 23 = 207, 9 x 54 = 486 and 9 x 73 = 657.\nA number is a multiple of 9 if it is divisible by 9 and the result of that division is a whole number. To determine if a number is divisible by 9, just get the sum of its digits and check if the answer is divisible by 9. For exa..

Continue Reading

How do you do a box-and-whisker plot?

Start by ordering the data set from least to greatest. For example, a set consisting of 10, 7, 3, 9, 5, 16, 10, 13, 4, 8, and 11, would be rearranged as follows: 3, 4, 5, 7, 8, 9, 10, 10, 11, 13 and 16.\nSince the data set has 11 numbers, its median is the sixth number in the list. Hence the number 9 divides the plot in half, with one group of numbers below it and another above. It also pinpoints the end of the first box and the beginning of the second.\nThe median of the numbers below 9 corresponds to the beginning of the first box, and the median of the numbers above 9 corresponds to the end..

Continue Reading

What are some tips about math answers when working with integers?

Examples of the rules above for adding integers are 3 + 4 = 7 and -3 + -4 = -7. When adding positive and negative numbers together, the sign of the integer with the greatest absolute value is the sign of the solution. For instance, -4 + 3 = -1. The negative four has the highest absolute value, four, so the answer is negative. In the problem -3 + 4 = 1, the positive four has the highest absolute value, so the answer is positive.\nMultiplication examples are 3 x 4 = 12, -3 x -4 = 12, -3 x 4 = -12 and 3 x -4 = -12. Examples of the division rules above are 15/3 = 5, 15/-3 =-5, -15/-3 =5 and -15/3 ..

Continue Reading

How many vertices does a pentagon have?

A vertex is a corner of a geometrical shape. A pentagon is a five-sided flat shape with straight sides, which means it has five corners or five vertices. A regular pentagon has all sides equal in length and 108-degree interior angles. The exterior angles of a pentagon are 72 degrees. In a polygon, such as a pentagon, a vertex is called convex if the internal angle formed by the straight lines is less than 180 degrees.

Continue Reading

What is the Pythagorean identity?

These identities are called Pythagorean identities as they are based on the Pythagorean theorem developed by the Greek mathematician Pythagoras. This theorem has to do with right triangles, and it is applied in trigonometry. Trigonometry was originally developed for making calculations based on the use of the Pythagorean theorem.\nThese identities were arrived at using the unit circle. A unit circle is a circle having one unit as its radius. A right triangle is formed within this unit circle to arrive at the Pythagorean identities.

Continue Reading

What is the relationship between mathematics and science?

One of the first analyses of the relationship between mathematics and other sciences belongs to the ancient Greek philosopher Aristotle, who wrote about the interdependence of mathematics and other exact sciences in his work "Physics." Scholars such as Galileo Galilei and Isaac Newton also acknowledged this relationship. Nowadays, mathematics is at the basis of many physics discoveries, such as the superstring theory.

Continue Reading
Showing 1031 to 1040 of 3956 (396 Pages)