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Alika [10]
3 years ago
6

A pumpkin is launched directly upwards at 72 feet per second from a platform 12 feet high. The pumpkin's height, h, at time t se

conds can be represented by the equation h(t)= -16t^2+72t+12. Find the maximum height of the pumpkin and the time it takes to reach it.
Mathematics
1 answer:
Illusion [34]3 years ago
4 0

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

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anastassius [24]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
You are baking brownies for your class. There are 28 total students in your class and you have baked 23 brownies. Right and solv
slavikrds [6]

Answer:

x = 33

Step-by-step explanation:

Given

Students = 28

Brownies = 23

Brownies = 2\ per\ student

Required

Determine the number of brownies left

If:

Brownies = 2\ per\ student

and there are 28 students

Then:

Total\ Brownies = 2 * 28

Total\ Brownies = 56

To determine the number of brownies left, we have:

Total\ Brownies = Brownies\ Made + Brownies\ Left

56 = 23 + x

Reorder

x + 23 = 56

Collect Like Terms

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<em>Hence, there are 33 brownies left</em>

6 0
3 years ago
At the city museum, child admission is $5.20 and adult admission is $9.90 . On Monday, twice as many adult tickets as child tick
DiKsa [7]
To solve this, I would just find what two adult tickets and one child ticket wold be worth.

To find that, just do:

5.20 + 9.90 * 2, which makes 25.

So now you just find how many 25s are in 900, or 36.

So 36 children's tickets were sold that day.

Hope I helped :)
7 0
3 years ago
Which line is parallel to the line that passes through the points (1,7) and (-3, 4)?
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Answer:

Step-by-step explanation:

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4 0
2 years ago
a ladder 30 decimeters long is leaning against the side of a building. the ladder makes an angle of 25 degrees with the side of
ozzi
H=how far up from the ground does the ladder touch the building
h/30=sin 25°
h=30 sin 25°
h=12.7 decimeters(1 decimal place)
Answer: The height that the ladder touch the building far up from the ground is 12.7 decimeters.


8 0
2 years ago
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