Express as a sum of logarithms.log2 (4 ? 16)

A. log42 + log162
B. log2 2 + log2 4
C. log2 4 + log2 16
D. log2 4 + log2 16 + log2 2


Answer: C

Mathematics

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A.

B.

C.

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Solve.As part of a charity bike-a-thon, friends have pledged Randall certain amounts of money per each mile that he bikes. To estimate how much money he will earn for the charity, he uses the formula  where A is the amount in dollars of pledges earned and m is the number of miles Randall rides. Graph the equation for m = 0, 20, 40, and 60.

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B.

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Solve the problem.A projectile is fired from a cliff 300 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 270 feet per second. The height h of the projectile above the water is given by  where x is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the projectile.

A. 569.53 ft B. 869.53 ft C. 1,139.06 ft D. 2,008.59 ft

Mathematics