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kupik [55]
2 years ago
6

Help me with this pleasesimplify​

Mathematics
2 answers:
Elena L [17]2 years ago
6 0

Answer:

3^{12}

Step-by-step explanation:

\frac{(3^5)^2}{3^{-2}} \\=\frac{3^{(5*2)}}{3^{-2}} \\=\frac{3^{10}}{3^{-2}} \\=3^{(10-(-2)}\\=3^{(10+2)}\\=3^{12}

anyanavicka [17]2 years ago
4 0

Answer:

3^{12}

Step-by-step explanation:

\dfrac{(3^5)^2}{3^{-2}} =

= \dfrac{3^{10}}{3^{-2}}

= 3^{10-(-2)}

= 3^{10 + 2}

= 3^{12}

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Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she
Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

x=4y

Replacing this value into the first equation, we have

4y=180-2y\\\\
6y=180\\\\
y=30

Therefore,

x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


4 0
3 years ago
A farmer wants to plant peas and carrots on no more than 400 acres of his farm. If x represents the number of acres of peas and
wlad13 [49]

Answer:

(1,400)

Step-by-step explanation:

Hope this helps

5 0
2 years ago
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yawa3891 [41]

Answer:

tan T = 3/4

tan U = 4/3

Step-by-step explanation:

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tan T = 3/4

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3 years ago
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Answer:

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2 years ago
Find the size of deb
Akimi4 [234]

Answer:

4x + 3 = 6x - 53 \\ 6x - 4x = 3 + 53 \\ 2x = 56 \\ x =  \frac{56}{2}  = 28

8 0
2 years ago
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