That’s the answer to your question.
Answer:
93 feet
Step-by-step explanation:
Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:
dh(t)/dt = v(t) = -32t + 72
The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
Therefore, the maximum height of the pumpkin is:
h(2.25) = -16(2.25)^2 + 72(2.25) + 12
h(2.25) = -81 + 162 + 12
h = 93 feet
The area of the figure is 9
Hope this helps the picture explains how to do it hope its useful:)
Answer:
The number of half-page advertisements is 4.
The number of Full-page advertisements is 11.
Step-by-step explanation:
According to the Question,
- Given, An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $1340 to purchase 15 advertisements.
Let, 'x' be the number of half-page advertisements and 'y' be the number of full-page advertisements.
- Thus, 60x + 100y is the money charged, and given that he has a budget of $ 1340.
60x + 100y = 1340
- And, the number of advertisements is 15. So, the other equation is
x + y = 15
Now, We have Two Equations,
60x + 100y = 1340 and x + y = 15
- the solution of the system is Put x=(15-y) in Equation 60x + 100y = 1340
60 (15-y) + 100y = 1340
900 - 60y + 100y = 1340
40y = 1340 - 900
40y = 440
y = 440/40
y = 11 So, For x = 15 - y ⇒ 15-11 ⇒ x=4 .
- Thus, the number of half-page advertisements is 4 and The number of Full-page advertisements is 11 .
