Find the product. Write the product in rectangular form, using exact values.[4(cos 150° + i sin 150°)] [6(cos 330° + i sin 330°)]

A. 12 + 12i
B. 24i
C. 24
D. -12 + 12i


Answer: D

Mathematics

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Solve the problem. Round your answer to 2 decimal places when necessary.In a given year, the population of a certain country is about 159 million. The overall birth rate is 15.8 births per 1000. The overall death rate is 10.8 deaths per 1000. If the population of the country increased by 1.04 million, what is the approximate net immigration to the country during this year?

A. 2 million B. 24,500 C. 245,000 D. 2613 million

Mathematics

Solve the problem. Assume all variables represent nonnegative real numbers.For f(x) = x +  and g(x) = x - , find (f ? g)(x).

A. (f ? g)(x) = x2 + 5
B. (f ? g)(x) = x2 - 2x - 5
C. (f ? g)(x) = x2 - 5
D. (f ? g)(x) = x2 - 2x + 5

Mathematics

Solve.x2 + 4x - 45 = 0

A. 5, -9
B. -5, 9
C. -36, -9
D. , - 

Mathematics

Use the elimination method to solve the system.

A. x = 0, y = 1 B. x = 1, y = 0 C. x = 0, y = 0 D. x = 1, y = 1

Mathematics