Provide an appropriate response.Given log10 2 = 0.3010 and log10 3 = 0.4771, find log10 54 without using a calculator.

A. 1.3801
B. 0.4308
C. 1.7323
D. 0.4096


Answer: C

Mathematics

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Magazine circulation after t years is modeled by the function . ? When was the circulation increasing at the fastest rate? Round your answer to two decimal places. ?

A. After 4.90 years B. After 3.35 years C. After 3.67 years D. After 3.54 years

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Find the derivative of the function.f(x) = (3x - 4)(7 - 9x3 )

A. -108x4 + 108x3 + 21x B. -108x3 + 108x2 + 21 C. -108x3 + 108x2 + 21x - 28 D. -27x3 + 36x2 + 21

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Write the decimal as a fraction or mixed number. Simplify, if possible.22.9007

A. 22
B. 22
C. 22
D. 22

Mathematics

As astronomer observes that at point A on the planet Mercury at a particular time the sun is directly in line with point A and the center of the planet. At the same time, the sun’s rays form an angle of 5 with the vertical at point B on the surface of the planet. She determines that point B is roughly 213 km south of point A. Using this data, what will she calculate Mercury’s diameter to be? (See sketch.)

Mathematics