A bacterial culture began with 7500 bacteria it's growth can be modeled using an expotential relation. N = 7500 x 2^(t/36), work t is in hours n is the final number of bacteria. How many bacteria are present after 72 h?

The number N of E.Coli bacteria in the millions per mililiter after t minutes can be modeled by N (t)=0.5^e0.014t. Determine the elapsed time required for the concentration of bacteria to reach 25 million per mililiter.

A=A0e^kt 2006 population (millions) Projected 2029 population (millions) Projected growth rate  K 46.5 42.7

The population of the town of Missed Chances has, since January 1, 1973, been described by the function P=45000(1.04)^t where PP is the population tt years after the start of 1973.  At what rate was the population changing on January 1, 1998?

Consider the function that assigns to each number x the value 3x^2 (three x to the second power).  a. Find the output assigned to each input listed in the table. Input (x) Output (3x^2) -2   -1   0   1   b. The average rate of change of the function using the rows for x = -2 and x = -1 from the table is ____________. c. The average rate of change of the function using rows for x = 0 and x = 1 from the table is ____________. d. Do you think the function is linear or nonlinear? Answer choices; 1. Linear 2. Nonlinear Explain your answer.

p(x) = 0.232e−0.232^xwhere x is the time in minutes. What percentage of the timegaps are between 2 and 5 minutes? Round to three decimal places if necessary.