Answer:
4/5
Step-by-step explanation:
Answer:
a)The sunglasses hit the ground at t=0 seconds
b)The maximum height h(t) = 1600feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the polynomial function
h(t) = -16 t² + 1600 ...(i)
Differentiating equation (i) with respective to 't' , we get
![\frac{dh}{dt} = -16(2t)+0](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%20-16%282t%29%2B0)
Equating zero
![\frac{dh}{dt} = 0](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%200)
⇒ -32t =0
⇒ t =0
The sunglasses hit the ground at t=0 seconds
<u><em>Step(ii):-</em></u>
Again differentiating with respective to 't', we get
![\frac{d^{2} h}{dt^{2} } = -32(1) = -32](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5E%7B2%7D%20h%7D%7Bdt%5E%7B2%7D%20%7D%20%3D%20-32%281%29%20%3D%20-32%20%3C0)
The maximum height at t=0
h(t) = -16 t² + 1600
h(t) = 1600feet
Answer
0.5
Step-by-step explanation:
Answer:
3x^2 (y^5)^1/4 which is the first choice
Explanation:
The fourth root means that the bracket under has the root has a power of 1/4.
So, the given expression is:
(81 * x^8 * y^5)^1/4
Now, we will distribute the power as follows:
(81 * x^8 * y^5)^1/4 = (81)^1/4 * (x^8)^1/4 * (y^5)^1/4
= 3 * x^2 * y^5/4
This expression is equivalent to:
3x^2 (y^5)^1/4 which is the first choice
Hope this helps :)