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. What is the limiting size of the butterfly population that the habitat will sustain?

A. 80 butterflies
B. 560 butterflies
C. 1120 butterflies
D. 6 butterflies

Answer: B

Mathematics

Solve the problem.A computer printer costs $310. The price is increased by 2% for sales tax. What is the total price of the printer with tax?

A. $314.65 B. $387.50 C. $317.75 D. $320.85

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Mathematics

Write the sentence as an equation. Use x to represent "a number."Four times a number is equal to 36.

A. = 36
B. 4x = 36
C. 4 + x = 36
D. x⁴ = 36

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Mathematics

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse.f(x) = - , x ? 0

A. f^-1(x) = -10x
B. f^-1(x) = -
C. f^-1(x) =
D. f^-1(x) = -

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Mathematics

For the given pair of functions, find the requested function.f(x) = x2 + 5x - 3, g(x) = -8x2 + 7x - 6; (f - g)(x)

A. -7x2 + 12x - 3 B. 9x2 - 9x + 9 C. -8x2 - 12x + 3 D. 9x2 - 2x + 3

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Mathematics