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 are expected in the habitat after 10 months?

A. 4400 butterflies
B. 300 butterflies
C. 126 butterflies
D. 442 butterflies


Answer: C

Mathematics

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Use the information given about the angle ? to find the exact value of the indicated trigonometric function.tan ? = , ? < ? < Find sin .

A.
B. - 
C.
D. - 

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Graph the hyperbola.4y2 - 25x2 = 100

A.

B.

C.

D.

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Find the sum of the given infinite geometric series if possible. Write the answer as a decimal number if appropriate.8 - 2 +  -  + . . .

A. 7.1 B. 7.4 C. 5.9 D. 6.4

Mathematics

Solve the problem.Newton's Law of Cooling states that if a body with temperature T1 is placed in surroundings with temperature T0 different from T1, then the body will either cool or warm to temperature T(t) after time t, in minutes, where A cup of coffee with temperature 102°F is placed in a freezer with temperature 0°F. After 8 minutes, the temperature of the coffee is 53.8°F. What will its temperature be 19 minutes after it is placed in the freezer? Round your answer to the nearest degree.

A. 19°F B. 22°F C. 17°F D. 21°F

Mathematics