Answer:
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Step-by-step explanation:
Given that a roller coaster ride reach a height of 80 feet.
The height above the ground of the roller coaster is modeled by the function
h(t)=10t²-40t+80
where t is measured in second.
h(t)=10t²-40t+80
Differentiating with respect to t
h'(t)= 10(2t)-40
⇒h'(t)=20t-40
To find the minimum height we set h'(t)=0
∴20t-40=0
⇒20t =40
⇒t=2
The height of the roller coaster minimum when t=2 s.
The minimum height of of the roller coaster is
h(2)= 10(2)²-40.2+80
=40-80+80
=40 feet.
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Answer:
2 & the second part is one unique solution
Step-by-step explanation:
on edge2020
She made 15 cookies
<em><u>Solution:</u></em>
Let "x" be the number of cookies she made
She gave 1/3 of cookies for her husband
Therefore,

Find the remaining

1/4 of the cookies to her son
Therefore,

Now again find the remaining

1/6 of a cookies to her neighbor

Now again find the remaining

She ate the remaining six cookies
Therefore,

Thus she made approximately 15 cookies
P = k/V
84 = k/51
4,284 = k
P = 4,284 / 153
P = 28Pa
Hope I helped!
A triangular prism Vol. = area (A) of the triangular base × height (h) of prism
A triangular pyramid V = A × 1/3 h
So since they have same base A and h, the V of the pyramid will be exactly 1/3 the V of the prism