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Vanyuwa [196]
3 years ago
10

Answers+steps please?

Mathematics
1 answer:
koban [17]3 years ago
3 0
A) 40 feet
B) 1 second
C) 56 feet

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The perimeter of a square is to be between 14 and 72 feet, inclusively. Find all possible values for the length of its sides. (&
xxMikexx [17]
We know that the perimeter is the all the sides added up together. Generally, you have p = 2l+2w, where l is length and w is width.

For a square, all sides are of the same length, so you can write p=4x, where x is any side.

If the smallest perimeter is 14, then 14 = 4x, so x is 3.5. If the largest perimeter is 72, then 72 = 4x, so x is 18.

Therefore, you have 3.5 ≤ x ≤ 18.
3 0
3 years ago
A particle is moving along the x-axis so that its position at t ≥ 0 is given by s(t)=(t)ln(5t). Find the acceleration of the par
lyudmila [28]

Answer:

a(\frac{1}{5e})=5e

Step-by-step explanation:

we are given equation for position function as

s(t)=tln(5t)

Since, we have to find acceleration

For finding acceleration , we will find second derivative

s'(t)=\frac{d}{dt}\left(t\ln \left(5t\right)\right)

=\frac{d}{dt}\left(t\right)\ln \left(5t\right)+\frac{d}{dt}\left(\ln \left(5t\right)\right)t

=1\cdot \ln \left(5t\right)+\frac{1}{t}t

s'(t)=\ln \left(5t\right)+1

now, we can find derivative again

s''(t)=\frac{d}{dt}\left(\ln \left(5t\right)+1\right)

=\frac{d}{dt}\left(\ln \left(5t\right)\right)+\frac{d}{dt}\left(1\right)

=\frac{1}{t}+0

a(t)=\frac{1}{t}

Firstly, we will set velocity =0

and then we can solve for t

v(t)=s'(t)=\ln \left(5t\right)+1=0

we get

t=\frac{1}{5e}

now, we can plug that into acceleration

and we get

a(\frac{1}{5e})=\frac{1}{\frac{1}{5e}}

a(\frac{1}{5e})=5e


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3 years ago
Sam's Mom makes sandwiches, s, for lunch everyday for his brothers and sisters. There are 15 slices of bread, b, left in the pac
ArbitrLikvidat [17]

Answer:

b= independent S=dependent

7 0
3 years ago
Write the expression as the sine, cosine, or tangent of an angle. cos 8x cos 2x - sin 8x sin 2x
igomit [66]
Sum and Difference Formula for Cosine: cos(α±β)= cosαcosβ <span>∓ sin</span>αsinβ
cos(8x+2x)=cosαcosβ-sinαsinβ
cos(10x)=cosαcosβ-sinαsinβ
5 0
3 years ago
Read 2 more answers
What is 1086.3961 rounded to the nearest square foot?
Katen [24]
I believe the answer would be 1086.4

Please give a like if I’m right and tell me in the comments if I’m wrong.
Hope this helped :)
3 0
3 years ago
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