Answer:
The maximum height is 46.64 feet.
Step-by-step explanation:
If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.
So, we have the function h(t):

Taking the derivative, we have:

Now, we solve it for t:

Finally, we put this value of t into the original equation.

Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.
I hope it helps you!
Answer:
w = 21
Step-by-step explanation:
i've done this kind of thing before a million times
In this case, you need to find the percentage each student got, then find who received a higher score.
First Step:

(and)

Second step: Divide each fraction → ≈ 0.8947 (and) ≈ 0.8421
Third Step: Multiply each decimal by 100. → 89.47% (and) 84.21%
Fourth Step: As 89.47% is greater, Author got an higher score.
BRAINLIEST PLS!!!
Answer:
401.92 in²
Step-by-step explanation:
S.A. = 2πr²+2πrh
S.A. = 2π4²+2π4·12
S.A. = 100.48 + 301.44
S.A. = 401.92 in²