12. A culture of bacteria in the lab doubles every 6 minutes. Assume the growth follows a continuous exponential model and you start with only 2 bacterium.
Using an appropriate exponential base, if this pattern continues to be applicable, find the time in
which the number of bacteria would reach 10^9. (Round to the nearest minute.)

Solve for x -2.3(r - 1.2 ) = -9.66 enter you answer as decimal.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Given abc find the values of x and y. in your final answer, include all of your calculations.