Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.(cos 30° + i sin 30°)12

A. i
B. -i
C. 1
D. -1


Answer: C

Mathematics

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?Write the following expression:  Think of a number. Subtract 9 from it. Divide the result by 5. Multiply by 5. Add 9. Which of the following describes this expression, given that the number you were thinking of was "x"? ?

A.

?x


B.

?


C.

?


D.

?If x = 12, then the result is 12.


E.

?a, b, and d only


F.

?b and d only


Mathematics

Find a formula for the general term of the sequence, assuming that the pattern of the first few terms continues.

Mathematics

Solve the problem.A farmer has 1800 feet of fence with which to fence a rectangular plot of land. The plot lies along a river so that only three sides need to be fenced. Estimate the largest area that can be fenced.

A. 607,500 ft2 B. 486,000 ft2 C. 324,000 ft2 D. 405,000 ft2

Mathematics

Determine the vertex of the parabola.y = (x - 4)2

A. (-4, 0) B. (0, 4) C. (0, -4) D. (4, 0)

Mathematics