Answer:
Option C is the correct answer.
Step-by-step explanation:
The height, h(t), of the ball can be modeled as a function of time, t, by the equation h(t) = -16t² + 40t + 20
When the ball hits the ground, we have h(t) = 0
h(t) = -16t² + 40t + 20 = 0
Negative time is not possible, so time = 2.93 seconds.
Option C is the correct answer.
We have the following function:
f(t) = −16t2 + 34t + 546
By definition, the average rate of change is:
Avr = (f (t2) - f (t1)) / (t2 - t1)
We have then:
For t1 = 5:
f (5) = -16*(5)^2 + 34*(5) + 546
f (5) = 316
For t2 = 5:
f (7) = -16*(7)^2 + 34*(7) + 546
f (7) = 0
Substituting values:
Avr = (0 - 316) / (7 - 5)
Avr = -158
Answer:
The average rate of change of f (t) from t = 5 seconds to t = 7 seconds is -158 feet per second.
option B
tell me if u need step by step :)
6/10 + 7/12 = 142/120 = 71/60 = 1.18 (One whole number, and 11/60)
The formula for a diagonal of a rectangle is <span>√w^2+h^2, with w and h being the width and height. Plug in your numbers to get </span><span>√7^2+5.5^2. Simplify that into </span><span>√49+30.25, then to </span><span>√79.25. Use your calculator to get 8.9022. The diagonal is 8.9 feet.</span>