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bekas [8.4K]
4 years ago
15

an object is thrown off a platform that is 15 ft high with an initial velocity of 8.5 ft/is what function models the height h of

the object after t seconds
Mathematics
1 answer:
NemiM [27]4 years ago
4 0

Answer:

Therefore the function that models the height of the object after t seconds is given by "H(t) = 15 + 8.5*t + 16.09*t²".

Step-by-step explanation:

Since the object has a initial velocity and it's being accelerated by gravity, than it's height is defined by:

H(t) = H(0) + V(0)*t + 0.5*g*t²

Applying the data from the problem, we have:

H(t) = 15 + 8.5*t + 0.5*32.17405*t²

H(t) = 15 + 8.5*t + 16.09*t²

Therefore the function that models the height of the object after t seconds is given by "H(t) = 15 + 8.5*t + 16.09*t²".

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Rearrange the steps to solve for the following equation: 2(x-5)=8
OlgaM077 [116]

Answer:

x=9

Step-by-step explanation:

2(x-5)=8          | Given

(2x-10)=8        | Distribute the 2 inside the parentheses

2x=8+10           | Add 10 to both sides

2x=18                 | Add. <em>Optional; not included in your question.</em>

<em />x=9<em>                    </em>| Divide by 2 on both sides.

<em />

4 0
3 years ago
Imagine you had 40 one-metre sections of fencing.
Darya [45]

Answer: If I’m not mistaken, the largest area is 75 m2 and the smallest is 2 m2

Step-by-step explanation:

For both : since they are asking for the area, you should calculate the perimeter.

So for the largest area, since you know that you have 40 fences, and each are 1 meter long, and they’re also asking for the largest rectangular area, this means that only the opposite sides will have the same length, so in order to divide the rectangle with the 40 one-meter fences, the biggest sides have to be 15 meters long (so for both : 15x2=30 meters). Then you deduct from 40, 30 : 40-30 = 10 which then you can devide by 2 and find 5 + 5 and that means that the 2 smallest sides will be 5 meters long each. Then finally to calculate the perimeter you should do the biggest side multiplied by the smallest side : 15 x 5 and you find 75 m2 (squaremeters), if I’m not mistaken.

And for the smallest area you take the smallest possibilities knowing that only the opposite sides should have the same length and not all of them, so you do 1 x 2 and you find 2 m2.

8 0
4 years ago
James has noticed that the number of new tree branches that have grown on a tree in his backyard each year follows the sequence
eduard

Notice that the pattern is "previous term plus 2".  This is an arithmetic sequence where the difference (d) equals +2

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f(n) = 1 + 2(n - 1)

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f(n) = 2n - 1

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f(10) = 19

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3 years ago
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ACUTE ANGLE.
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3 0
3 years ago
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dlinn [17]

Answer:

$13.45

Step-by-step explanation:

Divide $107.60 by 8

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