Solve.The formula y = 1 + 1.5 ln(x + 1) models the average number of free-throws a basketball player can make consecutively during practice as a function of time, where x is the number of consecutive days the basketball player has practiced for two hours. After 54 days of practice, what is the average number of consecutive free throws the basketball player makes?

A. 11 consecutive free throws
B. 10 consecutive free throws
C. 7 consecutive free throws
D. 8 consecutive free throws


Answer: C

Mathematics

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Solve the problem.The amount of alcohol in the bloodstream, A, declines at a rate proportional to the amount, that is, . If  for a particular person, how long will it take for his alcohol concentration to decrease from 0.10% to 0.05%? Give your answer to the nearest tenth of an hour.

A. 0.2 hr B. 3.5 hr C. 4.6 hr D. 2.3 hr

Mathematics

Decompose into partial fractions.

A.  - 
B.  - 
C.  - 
D.  + 

Mathematics

Find the center and the radius of the circle.(x - 5)2 + y2 = 100

A. (-5, 0), r = 100 B. (0, -5), r = 10 C. (0, 5), r = 100 D. (5, 0), r = 10

Mathematics

Solve the problem.A country is made up of four regions A, B, C, and D. The population of each region, in thousands, is given in the following table.According to the country's constitution, the congress will have 20 seats, divided among the four regions according to their respective populations.(a) Find the standard divisor , in thousands.(b) How many people are there for each seat in the congress?

A. 57; 57,000 B. 20; 20,000 C. 60; 60,000 D. 58; 58,000

Mathematics