Question

At the beginning of an experiment, the number of bacteria in a colony was counted at time t = 0. The number of bacteria in the colony t minutes after the initial count is modeled by the function. What is the average rate of change in the number of bacteria for minutes 1 through 3 of the experiment?

a) 2
b) 36
c) 72
d) 96

Answer 1

To find the length of one side of the base of a square pyramid with a volume of 8,670 cubic meters and a height of 90 meters, we can use the formula for the volume of a pyramid and solve for the base area. Then, the length of one side of the base is the square root of the base area.

Step-by-step explanation:

To find the length of one side of the base of a square pyramid, we need to use the formula for the volume of a pyramid which is V = (1/3) × base area × height. In this case, the volume is given as 8,670 cubic meters and the height is 90 meters. Let's solve for the base area:

V = (1/3) × base area × 90

8,670 = (1/3) × base area × 90

Now, we can isolate the base area:

base area = (8,670 × 3) / (90)

base area = 289 square meters

Since the base of a square pyramid is a square, all sides are equal in length. Therefore, the length of one side of the base is the square root of the base area:

Length of one side of the base = √289 = 17 meters