Suppose the number of bacteria in a culture is modeled by the function P(t) = 1750e0-1t, where t is measured in hours. Determine the time it will take for the number of bacteria to reach 2914. Round answer to 1 dec. place. t = hours

Francine throws a wrench into the air from the bottom of a trench 10 feet deep. Its height t seconds later is given, in feet, by h = -16t + 34t – 10 a. When will the wrench attain its maximum height? Round your answer to two decimal places and choose the correct units. O A. meters O B. seconds OC. hours OD. feet b. According to the function, how do you know your answer to part (b) is where the maximum height is attained and not the minimum height? O A. The leading coefficient is positive, so the graph is concave up O B. The leading coefficient is positive so that graph is concave down OC. The leading coefficient is negative, so the graph is concave down OD. The leading coefficient is negative, so the graph is concave up

The water level in a tank rises 4 feet every minute. Write an equation of change that describes the height H, in feet, of the water level at time t in minutes.a. dH/dt = 3b. dH/dt = 4c. dH/dt  = 5d. dH.dt = 6