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What is the square root of negative one?

Any number that includes a negative square root is called an imaginary number. For example, the square root of -9 equals 3i, an imaginary number. When an imaginary number and a real number are combined, for example 2 + 3i, this is called a complex number. Complex numbers have many real world applications, including manipulating sound waves and calculating electrical currents.

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What is a 24-sided shape called?

In naming polygons that have more than 20 sides, the number in the 10's place is represented by a specific Greek prefix. This prefix is combined with a prefix representing the one's place by using the word "kai" in the middle. Kai means "and" in the Greek language. The word is completed by ending it with "gon". Numbers from 100 to 999 follow additional rules for name construction.

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What is the LCM of 6 and 10?

The number 30 is the smallest number evenly divisible by both six and 10. There are several ways to arrive at the least common multiple for a group of numbers, but the mathematical formula involves figuring it from the prime factors of each number. The prime factors of six are two and three. The prime factors of ten are two and five. In mathematical terms, 2 x 3 = 6, and 2 x 5 =10. Each prime number is used the highest amount of times it is used for each number to figure the LCM. In this case, 2 x 3 x 5 = 30.

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How do you factor polynomials by grouping?

Determine ac and a+cBoth the terms ac and a+c are required. As a simple example, 6x²+7x+1 shows ac = 6 and a+c = 7.Factor ac into possible multiplesIn this case, 6 can factor into 6x1 or 3x2.Find a factor pair of ac that equals bIf ac is positive, both terms are positive or negative based on the sign of b. If it is negative, one term is positive while the other is negative in order to equal b.\n\nIn the example, 6x1 = 7, so this is the factor pair that is desired. Split b into the factor pairs in the bx term of the polynomialSo, 6x²+7x+1 = 6x²+6x+x+1. Sometimes, the middle terms must be re..

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What is variance analysis ?

Variance analysis takes many different forms and is implemented based on the needs of the industry using it. For example, purchase-price variance compares the actual cost for materials with the standard industry cost and multiplies it by the amount of units used. This form of variance analysis is useful for manufacturers. Labor-efficiency variance deducts the industry standard of labor from the actual labor used and multiplies the remaining amount by the hourly standard rate. Labor-efficiency variance is often employed during contracted projects or by companies with a lot of employees.\nVarian..

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What is the product of a number?

The multiplier in a multiplication problem indicates how many times that the other number needs to be added with itself. In the example, seven was added to itself eight times: 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7. The sum, which is 56, is equivalent to the product of 7 and 8. In another example, 100 is the product if the quantities 2, 5 and 10 are multiplied together.

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What are the multiples of 42?

Using this definition, it is evident that there are many other multiples of 42.\nA person finds the first multiple of 42 given in the list above by multiplying 42 by 1, which gives the answer 42. Likewise, 4,200 is also a multiple of 42 because it is the product of 42 and 100. Some other multiples of 42 are 588, 630, 672, 714, 756, 798 and 840.

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What are some basic scientific calculators?

Texas Instruments TI-30X IIS scientific calculator comes in various colors and is priced below $20. For another option at that price point, Casio FX-115ES PLUS has similar features, as does Sharp's EL520XBWH. The Texas Instruments TI-30Xa retails for about $10, as does the Casio FX-260 Solar Scientific.\nFor a calculator with more pre-programmed functions, Hewlett Packard's Scientific Calculator has a two-line display and raised edges. The display on the calculator has adjustable contrast and has edit, undo and delete features. It also retails around $60.

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How do you use financial calculators?

Most financial calculators require users to input a small number of specifications to complete their calculations. When calculating monthly loan payments, for example, the calculator would need to know the loan amount, payback time frame and interest rate. Some allow the user to compare the total repayment amount based on different monthly payments as well.\nWhen finding retirement assets, a financial calculator would require a person to input his initial savings, projected annual growth rate, annual retirement savings contributions and time to retirement. This type of calculator can help a pe..

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What are the prime factors of 30?

Although finding the prime factors of a positive integer can be a multi-step procedure in some cases, determining the prime factors of the positive composite integer 30 can be easily accomplished by following two of the basic rules of factorization. The first of those rules states that an even number, such as 30 in this case, will always have 2 as one of its prime factors. Since that provides 2 as a factor, 30 divided by 2 equals 15. Another basic rule of factorization states that any number ending in 5 will have 5 as one of its prime factors. Since 15 is not a prime number, further division i..

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