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 17 months?

A. 520 butterflies
B. 1700 butterflies
C. 8840 butterflies
D. 505 butterflies


Answer: D

Mathematics

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Find the parametric equations for the line tangent to the curve at the given point.r(t) =  at t = 1

A. x = 1 + 8t, y = -6 - 6t, z = 2 + 6t B. x = 1 + t, y = -6, z = 2 + t C. x = 8 + 8t, y =-6 - 6t, z = 7 + 6t D. x =8 + t, y = -6 - 6t, z = 6 + 2t

Mathematics

Solve.A train traveled m mi at a speed of s mph. A bus following the same route traveled 7 mph slower. How much longer did the bus take than the train to make this trip? Write the answer as a single rational expression.

A.  hr
B.  hr
C.  hr
D.  hr

Mathematics

Find the length of the curve r(t) = 2ti+t²j+1ntk, 1?t?e³

Mathematics

Find the first term and the common difference of the arithmetic sequence described. Give a formula for the nth term of the sequence.4th term is 8; 6th term is 18

A. a = -2; d = 5; an = 5n - 7 B. a = 7; d = -5; an = 5n + 12 C. a = -7; d = 5; an = 5n - 12 D. a = -2; d = 5; an = -7n + 5

Mathematics