The UF athletic department wanted to determine if students came to more than 4 home football games on average per season. They r

Response: An "exponential growth" demonstrates a pattern where growth starts slowly and accelerates over time.

"Logarithmic growth" behaves inversely; it initially shows rapid increase, followed by a deceleration.

In this context, we are considering decays: The decays represent the opposite of growths. An "logarithmic decay" begins slowly before speeding up, while an "exponential decay" quickly decreases at first and gradually slows afterward.

Thus, the equation modeling the temperature drop of the hot tea over time is an "exponential decay", described in the form T(x) = T₀, where T₀ stands for the initial temperature, t is time, and k is a constant.

Response:

B. 255 m

Detailed breakdown:

utilize similar triangles

L / 60 = 85 / 20

L = (85 * 60) / 20

L = 255 m

You can utilize the Pythagorean theorem expressed as a^2 + b^2 = c^2... if b is unknown, you can rearrange the formula. Hence, c^2 - a^2 = b^2. Squaring 47 gives 2209 and squaring 13 yields 169... Subtracting gives you 2209-169, which results in 2040. Taking the square root of that yields approximately 45.166359, which can be rounded to 45 or as 45.167 when expressed to two decimal places. I hope this helps!:)