Solve the problem.The logistic growth function f(t) =  describes the population of a species of butterflies  after they are introduced to a non-threatening habitat. How many butterflies were initially introduced to the habitat?

A. 800 butterflies
B. 80 butterflies
C. 2 butterflies
D. 9 butterflies


Answer: B

Mathematics

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The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, ?).y = 5

A. r cos ? = 5 B. r = 5 C. r sin ? = 5 D. sin ? cos ? = 5

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Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.f(x) = x3 + 10x2 + 33x + 34

A. f(x) = (x + 1)(x + 4 + i)(x - 2 - i)
B. f(x) = (x - 1)(x + 4 + i)(x + 4 - i)
C. f(x) = (x + 2)(x + 4 + i)(x + 4 - i)
D. f(x) = (x + 2)(x + 4 + i)(x - 4 - i)

Mathematics

Determine if the relation is a function. Assume that the domain is in the left column and the range is in the right column.Credit card expenses on Jim's monthly bill:

A. Yes B. No

Mathematics

A die is rolled five times and the number of fours that come up is tallied. Find the probability of getting the given result.Exactly four fours

A. .116 B. .003 C. .004 D. .402

Mathematics