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Alex787 [66]
3 years ago
10

Hillary hikes a 7.2-mile trail. There is a bench every 0.9 mile along the trail and one at the end of the trail. Find the number

of benches along the trail. Show your work.
Mathematics
1 answer:
professor190 [17]3 years ago
5 0
The answer would be 8

0.9 x 7 = 6.3
Then add another 0.9 would be 7.2
The 8th bench would be at the end.
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ASAP WILL GIVE BRAINLIEST!!! DO NOT USE PICTURES PLEASE Part A: Solve the equation 7x + 3x − 18 = 6(x + 3), and show your work.
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The answer is x=9 because (look at the picture)

7 0
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Please help hurry!!!!! This is due in a couple of minutes!!!!
kumpel [21]

Answer:

200 in.

Step-by-step explanation:

1250/75=5000/300=50/3 simplification

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600/3=200 simplification

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3 years ago
Use theorem 7. 4. 2 to evaluate the given laplace transform. do not evaluate the convolution integral before transforming. (writ
irga5000 [103]

With convolution theorem the equation is proved.

According to the statement

we have given that the equation and we have to evaluate with the convolution theorem.

Then for this purpose, we know that the

A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

And the given equation is solved with this given integral.

So, According to this theorem the equation becomes the

\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).

Then after solving, it become and with theorem it says that the

\mathscr{L} \left( \int_{0}^{t} f(\tau) d\tau \right) = \frac{\mathscr{L} ( f(\tau))}{s} .

Hence by this way the given equation with convolution theorem is proved.

So, With convolution theorem the equation is proved.

Learn more about convolution theorem here

brainly.com/question/15409558

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3 0
2 years ago
Degrees Celsius and degrees Fahrenheit are related by C=5/9(F-32).What is F in terms of C?
valina [46]

We are given: Degrees Celsius and degrees Fahrenheit are related by formula

C=\frac{5}{9} (F-32)

To find : Solve formula for F in terms of C.

Solution: We have , C=\frac{5}{9} (F-32)

First we need to get rid 9 from right denominator.

In order to get rid 9 from right denominator, we need to multiply equation both sides by 9.

9*C=9*\frac{5}{9} (F-32)

9C = 5 (F-32).

Distributing 5 on right side over (F-32), we get 5*F - 5*32 = 5F - 160.

9C = 5F - 160.

Adding 160 on both sides,

9C+160 = 5F - 160+160.

9C+160 =5F

Dividing both sides by 5, we get

(9C+160)/5 =5F/5.

\frac{9C+160}{5}=F

Splitting fraction 1/5, we get

F= \frac{1}{5} (9C+160).




4 0
3 years ago
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