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

Equating zero

⇒ -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

The maximum height at t=0
h(t) = -16 t² + 1600
h(t) = 1600feet
Answer:
24
Step-by-step explanation:
30 secs = 0.5 min
thus 84 / 3.5 min = 168 / 7 = 24
We want to calculate the following

Using the properties of exponents, we have that

So we have

So, if factor 10^-4 on the right side, we have

Note that

Then,

So we have that
Answer:
x=2
Step-by-step explanation:
this is just like the last one. since it is vertical it only includes the x value 2