The number of bacteria p in a pond after t hours is p(t). the more bacteria there are, them more rapidly the number increase. this is expressed by the equation p'(t) = 4p(t). find the most general exponential function of the form a * e^kt which satisfies the equation.

if there were 3500 bacteria at t = 0, how many are there 4 hours later?

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

A)a square brown tarp has a square green patch green in the corner the side length of the tarp is (x + 8) and the side length of the patch is x what is the area of the brown part of the tarpb)a square red placemat has a gold square in the corner the side length of the gold square is (x - 2) inches with the width of the red region is 4 in what is the area of the red part of the placemat

Construct a box plot to represent the ages of the actors in a play. step 1: arrange the numbers in order from lowest (on the left) to highest. 24 18 30 26 24 33 32 44 25 28