Let P(t ) be the number of yeast cells in a laboratory experiment. Suppose that P(t ) follows a logistic model of inhibited growth, given by

Find k if P(0) = 20 and P(7) = 500 .


0.710962

Mathematics

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Write as a percent.0.051

A. 5.1% B. 0.051% C. 51% D. 0.0051%

Mathematics

Three players (Ady, Brenden, and Cara) are sharing a pie. Suppose that the pie is divided into three slices (s1, s2, and s3). The following table gives the value of each slice in the eyes of each of the players. Which of the three slices are fair shares to Ady?

A. s1, s3 B. s1, s2 C. s1 D. s3 E. s2

Mathematics

Evaluate the integral. dt

A. -cos  + C
B. 6 cos  + C
C. -  cos  + C
D.  cos  + C

Mathematics

Find the length of the third side of the right triangle. Where appropriate, give both an exact answer and an approximation to three decimal places.

A.  = 90.0
B.  ? 6.928
C. 180
D.  ? 13.416

Mathematics