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
It's another word for unit rate if that helps
Answer:
Step-by-step explanation:
sin2x = 2sinx*cosx
=
* cosx
=
* cosx
= 2 
=
= 24/25
Answer:
- B. When the peak temperature is 40°C, 72 units of electricity are used on average.
Step-by-step explanation:
We see the relationship is closer to linear in the interval 30 to 40
<u>Approximate points:</u>
<u>The slope of the line:</u>
- m = (54 - 34)/(34- 30) = 20/4 = 5
<u>The line is:</u>
- y - 34 = 5(x - 30)
- y = 5x - 116
<u>At x = 40, the value of y would be:</u>
The closet option is B
Answer:
19 ft
Step-by-step explanation:
The perimeter of a rectangle is given by ...
P = 2(L +W)
Filling in the given values, we have ...
78 = 2(20 +W)
39 = 20 +W . . . . . divide by 2
19 = W . . . . . . . . subtract 20
The width of the rectangular pen is 19 feet.