Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope. Because this is parabolic, we cannot find the exact rate of change as we could if this were a linear function. But we can use the same idea. When t = 3, h(t) = 33, so the coordinate point is (3, 33). When t = 6, h(t) = 0, so the coordinate is (6, 0). Plug those values into the slope formula:
and
which is -11
From 3 to 6 seconds, the rocket is falling 11 yards per second.
Answer:
The value of x nearest to thousandths is, 74.207
Step-by-step explanation:
Solve : 
represents the logarithmic function with base e.
Using logarithmic properties:
, then 
Apply the logarithmic properties; we have
then;
or
Divide both sides by 2 we get;
Therefore, the value of x nearest to thousandths is, 74.207
Answer:
8934 (8933.58542585)
Step-by-step explanation:
8,500 (population currently) * 1.01 (1 percent) ^ 5 (years) = 8933.58542585 ≅ 8934 people.
Answer:
They are similar because Since all the sides are equal in each triangle, the ratio of corresponding sides will all be equal
Step-by-step explanation:
Amount of tax paid = 43-40 = 3
Tax rate = 3/40 = 0.75
0.75 x 100 = 7.5%
Tax rate = 7.5%
