Solve the problem.Ariel, a marine biologist, models a population P of crabs, t days after being left to reproduce, with the functionAssuming that this model continues to be accurate, when will this population become extinct? (Round to the nearest day.)

A. 911 days
B. 707 days
C. 1512 days
D. 547 days


Answer: D

Mathematics

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Use the Concavity Theorem to determine where the given function is concave up and where it is concave down. Also find all inflection points.T(t) = 2t - t3

A. Concave up on (-?, 0) ? (1, ?), concave down on (0, 1); inflection points (0, 0), (1, 2) B. Concave up on (-?, 0), concave down on (0, ?); inflection point (0, 0) C. Concave up on (0, ?), concave down on (-?, 0); inflection point (0, 0) D. Concave down for all t, no points of inflection

Mathematics

Use the graph to evaluate the limit.f(x)

A. -1 B. does not exist C. 0 D. 6

Mathematics

Use the line graph to solve the problem.What was the percent of decrease in hours needed to prepare from Test 2 to Test 3?

A. 50% B. 33% C. 67% D. 200%

Mathematics

Solve the problem.Suppose that the people in a certain city are catching colds. It is observed that after one week, 40% of the people who were sick are still sick. Of the people who were well, 30% are sick after one week. Construct the transition matrix that represents this situation.

A.  

B.  

C.  

D.  

Mathematics