Question:
Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.
Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).
Answer:

Step-by-step explanation:
Given
-- height
-- diameter
Required
85% of the volume
First, calculate the radius


The volume (V) is then calculated using:



85% of the volume is:



The height at time t is
h(t) = 144 - 16t²
When t = 0, then h = 144.
Therefore the height from the ground is 144 when the object is dropped.
When the object reaches the ground, h = 0.
Therefore
144 - 16t² = 0
t² = 144/16 = 9
t = 3 s
Answer:
The object reaches the ground in 3 seconds.
Answer:
A) slope is -12
B)The rate of change is constant because for every 5 seconds the change is the same. For every 5 seconds, the height decreases by 60ft. The equation is y=12x+1210
Step-by-step explanation:
Answer:-0
Step-by-step explanation:
Answer:
(4x^2 + 3)(x + 3)
Step-by-step explanation:
Split the equation in the middle so you can factor it out:
4x^3 + 12x^2 | + 3x + 9
Then factor out:
4x^2(x + 3) | 3(x + 3)
Congrats, you completed your equation:
(4x^2 + 3)(x + 3)