Use De Moivre's theorem to evaluate the expression. Write the result in standard form.(- + i)6

A. 64i
B. -64 + 64i
C. -64
D. 64 - 64i


Answer: C

Mathematics

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Provide an appropriate response.Give the definition or an example of the word or phrase: Dependent system

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Mathematics

The table shows, for some particular year, a listing of several income levels and, for each level, the proportion of the population in the level and the probability that a person in that level bought a new car during the year. Given that one of the people who bought a new car during that year is randomly selected, find the probability that that person was in the indicated income category. Round your answer to the nearest hundredth. $25,000 - $29,999

A. 0.09 B. 0.07 C. 0.13 D. 0.14

Mathematics

Divide and simplify. Assume that all variables represent positive real numbers.

A. 6
B.
C. 3
D. 6

Mathematics

Solve the problem.In a town whose population is 3000, a disease creates an epidemic. The number of people, N, infected t days after the disease has begun is given by the functionN(t) = . Find the number of infected people after 10 days.

A. 2737 people B. 2000 people. C. 142 people D. 1000 people

Mathematics