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Advocard [28]
3 years ago
11

absmiddle" class="latex-formula">The function f(x)=-16t^2+32t represents the height of a pumpkin t seconds after it is launched from a catapult. When does the pumpkin reach its maximum height? What is the maximum height of the pumpkin?
Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

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If anyone knows this please help me
alexgriva [62]

Answer:

oh hey I gotchu-

first of all you are gonna make that into two rectangle by slicing the top off if that makes sense so you now have a large rectangle (11×12) and a small one (3×8) now you use the area formula for rectangles base×height so the small one becomes (3×8)=24 and the large one is (11×12)=132. now to make them into one shape for the total area you add those two values 132+24=156 so your total area is 156m²

6 0
2 years ago
Which inequality statement describes the two numbers: -13 and a number 28 units to the right of -13?
kkurt [141]
So you have -13, then a number that's somewhere to the right of -13. imagine a number line: the negative values are on the left side of the zero, the positive values are on the right. if you're moving to the RIGHT of -13, that means that the value will be greater than -13, or in other words, -13 will be less than the new value because you moved right.

to find the number 28 units to the right of -13, you simply need to add these two numbers: -13 + 28. you add them because you're moving 28 units in the POSITIVE direction, aka you're going UP, so you want to add. -13 + 28 = 15.

now read the statements your question gave you. C and D are just straight-up false--a positive number is never less than a negative number. those are out immediately. now, the numbers you're working with are -13 and 15, so you can immediately ignore B as an answer choice, but still: A is correct because it shows the correct inequality. -13 is less than the number 28 units to the right of it, that number being positive 15.
7 0
3 years ago
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Help please. Screenshot included.
Alla [95]

The following information will help us with this problem:

\sqrt[m]{x^n} = x^{\frac{n}{m}


When we use that information in the context of this problem, we can find:

\sqrt[4]{15^7} = 15^{\frac{7}{4}}


Thus, a = 15, b = 7, and c = 4.

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3 years ago
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ivanzaharov [21]

Answer:

395.2

Step-by-step explanation:

104 x 3 .8 = 395.2

Good luck on the test!

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A triangle has side lengths of 3 m, 5 m and 4 m. The triangle is enlarged so that the larger
kow [346]

Answer:

48 meters

Step-by-step explanation:

3*4 = 12

5*4 = 20

4*4 = 16

These are the sizes when the triangle enlarges with a scale factor of 4.

To find perimeter, you add the sides together

12+20+16 = 48

The perimeter is 48 meters

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3 years ago
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