Condense the expressionto the logarithm of a single term.

a.

b.

c.

d.

e.


c.

Mathematics

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Solve the problem.A company determines that its marginal profit, in dollars, from producing x units is given by  where x ? 1. Suppose that it would be possible for the company to make infinitely many units of this item. Find the total profit. Round to the nearest dollar.

A. $6090 B. $6100 C. $6070 D. $6080

Mathematics

Find the vertex, focus, and directrix of the parabola with the given equation.(y + 4)2 = 12(x + 1)

A. vertex: (-1, -4)   focus: (-4, -4)   directrix: x = 2 B. vertex: (-4, -1)   focus: (-1, -1)   directrix: x = -7 C. vertex: (1, 4)   focus: (4, 4)   directrix: x = -2 D. vertex: (-1, -4)   focus: (2, -4)   directrix: x = -4

Mathematics

Solve the problem.If sin ? = 0.9, find sin (? + ?).

A. -0.1 B. -0.9 C. 0.1 D. 0.9

Mathematics

Without actually converting, choose the most reasonable answer.The weight of an average woman is about __________ .

A. 60 kg B. 600 kg C. 6 kg D. 0.6 kg

Mathematics