Answer:
See below in bold.
Step-by-step explanation:
A). s(t)= -16t^2+64t+200
Converting to vertex form.
s(t) = -16 (t^2 - 4t) + 200
s(t) = -16 [(t - 2)^2 - 4] + 200
s(t) = -16(t - 2)^2 + 64 + 200
s(t) = -16(t - 2)^2 + 264
The maximum height is after 2 seconds and it is 264 feet.
B) The ball hits the ground when s(t) = 0 so we have:
-16t^2+64t+200 = 0
x [-64 +/- sqrt (64^2 - 4*-16*200) ] / -32
x = 6.06, -2.06
So the answer is 6.06 seconds.
Answer: D
Explanation: Apply the pythagorean theorem (a^2 + b^2 = c^2) to get 11^2 + b^2 = 18^2. From that you can solve for b and you get the square root of 203.
Hope this helped! :)
Answer: 10+12+6+4=32
100/32=3.125
12x3.125= 37.5 percent of the people that were surveyed chose piano.
This is what I got for the answer.