Math

Refine Search

What is y=csc(x)?

The function has vertical asymptotes that repeat halfway through each period, which is 2(pi) units. Trigonometric functions are normally graphed on an x-axis and y-axis with radian units. The radian units can be converted to degrees, however, by substituting 180 for pi. So, pi/2 becomes 90 degrees, and 2(pi) becomes 360 degrees. There are five other trigonometric functions including y=sin(x), y=cos(x). y=tan(x), y=sec(x) and y=cot(x). Secant is the inverse of cosine and cotangent is the inverse of tangent.

Continue Reading

What is the purpose of a primary key in a database?

Primary keys are always unique keys; if a user or program tries to enter a duplicate primary key in a new row, the database does not accept the new row. Primary keys provide ways for database administrators and programmers to reference a particular row without regard to the other information in that row. Other tables in the database may reference the primary key; when it is referenced from a different table, it is known as a foreign key.\nIn most cases, an automatically incrementing number is used as the primary key. Every time a new row is entered, a primary key is generated for it.\nIn the U..

Continue Reading

What is a 10-sided shape called?

Two-dimensional shapes are called polygons, which means they are flat, straight-sided and closed. Three-dimensional shapes are called polyhedrons. These are solid with flat faces. Polygons and polyhedrons with all sides or faces the same size are called regular and are named from the Greek words associated with the number of sides or faces they contain. Polygons and polyhedrons are two kinds of shapes studied in the branch of mathematics known as plane geometry.

Continue Reading

In what way is precalculus used in the real world?

In chemistry, precalculus is beneficial in estimating functions like radioactive decay and reaction rate. Aspects like death rate and birth rate can be predicted using precalculus in biology.Precalculus is also beneficial in computing marginal revenue and cost in economics. This allows economists to estimate the maximum amount of profit that can be made in a particular setting. Precalculus can also be applied for harmonic motions like a pendulum's swing and a Ferris wheel that occur in the real world.

Continue Reading

Is 43 a prime number?

For a number to be a prime number, it can not be divisible wholly by any number other than itself and one. As there are no other numbers that can be completely divided into the number 43 without anything being left over, that makes 43 a member of the set of prime numbers. The list of prime numbers begins with the number two, and 43 is the 13th prime number.

Continue Reading

What is pi used for?

For example, it is used for calculating normal distributions and the distribution of prime numbers. It is also used in Buffon’s Needle Problem. This proof determines the probability of a needle landing on a line when it is dropped onto a plane containing equally spaced parallel lines. Pi is also prominent in geometric constructions and some formulae involving limits.

Continue Reading

What are example statistics and probability problems and their solutions?

The most-basic example of a simple probability problem is the classic dice roll, which is a Bernoulli distribution problem. For example, if a dice is rolled, what is the probability that it lands on an even number? To answer this question, one first needs to count the possible number of even outcomes (which are three in total) and divide it by the number of possible roll outcomes (which are six in total). The probability is therefore a half.\nThe above scenario produces a statistical problem if the dice rolls seven times and creates a series of rolling events. From these events, seven differen..

Continue Reading

How many vertices does a cuboid have?

A cuboid can describe an infinite amount of six-sided, 3-D shapes that have rectangular sides. Up to four of the sides can be square, but if six sides are squares it is no longer a cuboid, but a cube. To calculate the volume of a cuboid, multiply the length, width and height together.

Continue Reading

What is the prime factorization of 100?

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50 and 100. To find the prime factorization, first take any two of the factors that multiply to make 100. For instance, 25 x 4 = 100. Neither 25 nor four is a prime number, so each must be broken down further. Four equals 2 x 2, and 2 is a prime number. Twenty-five equals 5 x 5, and five is also a prime number. The prime factors are 2 and 5, and each is raised to the second power.

Continue Reading

What are the characteristics of a rectangle?

A rectangle is one of the most common four sided two-dimensional shapes. It has both a length and a width dimension. Other four-sided shapes include squares, parallelograms and rhombuses. The area of a rectangle can be calculated by multiplying the length by the width while the perimeter can be calculated by adding up all the side lengths.

Continue Reading
Showing 1821 to 1830 of 3956 (396 Pages)