Math


Refine Search

What are real-life uses of imaginary numbers?

According to Drexel University, imaginary numbers are further used when measuring phenomena that occur in nature such as the disruption created when water flows around an object. Imaginary numbers are quite useful in many situations where more than one force is acting simultaneously, and the combined output of these forces needs to be measured. These forces can be measured using conventional means, but combining the forces using imaginary numbers makes getting an accurate measurement much easier.\nAn imaginary number is a real number that has been multiplied by i, an imaginary unit that is equ..

What is 30 percent of 40?

Percentages are important in math and science. Often, percentage calculations must be completed from word problems. In this instance, the word "of" always indicates multiplication. For this problem, 30 percent of 40 equals 30/100 multiplied by 40.\nThe first step of percentage problems is to always convert the percentage to a decimal point or a fraction. In this instance, 30 percent can be converted into 30/100 or 0.3. Once the percentage has been converted, multiply the decimal or fraction by the whole amount to determine the final percentage.

What is the 4th dimension?

A cube that exists in four dimensions of Euclidean geometry is known as a hypercube. Using mathematical notation, a point in the fourth dimension is often represented as a vector of (w, x, y, z). In physics, the term fourth dimension refers to spacetime, in which the fourth dimension, time, exists alongside the three dimensions of conventional space. This type of fourth dimension is known as Minkowski space and is used in special relativity.

Is 69 a prime number?

If a number can be evenly divided by any other natural number than itself and 1, the number is not prime. The smallest prime number is the number 2.\nThe opposite of prime numbers are composite numbers, which are those evenly divisible by numbers other than themselves and 1. The smallest composite number is the number 4.\nMany numbers can be easily eliminated when determining whether or not they are prime numbers. All multiples of a smaller number cannot be primes. For example, it can be assumed that any even number other than 2 is not prime, as it is divisible by 2 in addition to itself and 1..

How do you know if you are a math magician?

The online tests may require a candidate to submit his age and choose a category of math problems, such as addition, multiplication, subtraction and division. Some questions will involve mixed operations. A typical test may have 50 math questions that should be answered in two and a half minutes. Others have multiple choices from which to pick the right answer.

What is the shape of a polygon?

Regular polygons are made when all sides and angles of the shape are the same size. When the sides or angles are different sizes, the polygon is said to be irregular. Any shape with a curved side is not a polygon.\nOther types of polygons include convex, where all interior angles are less than 180 degrees, and concave, where one or more interior angles measure more than 180 degrees.

What is the directrix of a parabola?

To draw a parabola, one has to start with the directrix and a point, known as focus that is off to one side. The parabola, which is the curve, is then formed from all points that are equidistant from the focus and the directrix. The axis of symmetry is a perpendicular line to the directrix that splits the parabola in the middle and passes through the focus.

What is the difference between a constant and a variable?

In the equation 5x - 3 = 7, x is the variable, as it represents a number with an unknown value. The constants in the equation are 3 and 7, because their values remain the same no matter how the equation may be altered. The number 5 acts a coefficient for the variable x, as x is being multiplied by 5.

How do you write each percent as a fraction in its simplest form?

Divide by one hundredWrite down the percentage divided by a hundred. For example, if the given percentage is 7 percent, simply write it as 7/100. If the percent is a whole number, proceed to step three. Count the number of decimal placesIf the percent is not a whole number, count the number of decimal places. Multiply both the numerator and denominator by 10 for each space counted. For example, if the given percent is 3.5 percent, multiply 3.5/100 by 10/10 to get 35/1000.\n\nReduce the fraction to its lowest possible termsDetermine if the fraction is in its lowest terms. If not, divide both th..

What is the prime factorization of 225?

Factors of 225 are numbers that divide 225 exactly, without leaving a remainder. Every number is a factor of itself, and the number 1 is a factor of every number. All possible factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75 and 225. However, only 3 and 5 are prime numbers, and therefore prime factors. Numbers 9 and 15 are factors of 225, but they are not prime numbers.

Showing 3611 to 3620 of 3956 (396 Pages)