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. 880 butterflies
B. 440 butterflies
C. 5 butterflies
D. 70 butterflies


Answer: B

Mathematics

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Solve the problem.Find an equation for the level curve of the function f(x, y) =  that passes through the point .

A. y = -25 B. y = 25 C. y = ± 5 D. y = 5

Mathematics

Provide an appropriate response.If a = 4.23, b = 10.07, and c = 10.92, express sin B as a decimal to the nearest ten-thousandth.

A. 2.5816 B. 0.3874 C. 1.0844 D. 0.9222

Mathematics

Solve the equation.|x| = 5

A. {-5, 5} B. {-5} C. {5} D. {25}

Mathematics

Solve.A common equation used in business is a demand equation. It expresses the relationship between the unit price of some commodity and the quantity demanded. In the demand equation  for a certain style of calculator, p is the price per calculator in dollars and x is the quantity demanded in thousands. Find the demand for the calculator if the price is $6 per calculator.

A. 10 thousand units
B. 40 thousand units
C. 9 thousand units
D. 51 thousand units

Mathematics