Use De Moivre's theorem to evaluate the expression. Write the result in standard form.(cos 2° + i sin 2°)135

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


Answer: B

Mathematics

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Find the function value.Find f(-x) when f(x) = -3x + 7.

A. -3x - 7 B. 3x - 7 C. 3x + 7 D. -x + 7

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Factor the trinomial.3x2 - 7x - 20

A. (5x + 3)(x - 4) B. (x - 5)(x - 4) C. (3x + 5)(x - 4) D. (x + 3)(x - 4)

Mathematics

Simplify the expression by combining like terms, if possible.-8(4x + 5y) + 10(8x + 5y)

A. -72xy B. 48x + 5y + 5 C. 48x + 10y D. -4x + 10y

Mathematics

A manufacturer of doors, windows, and cabinets writes her yearly profit (in thousands of dollars) for each category in a vector as:  Her fixed costs of production can be described by the vector: What would her income be if increasing it threefold would cause her profit to be five times as large? (Round to the nearest thousand dollars.)

What will be an ideal response?

Mathematics