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Savatey [412]
3 years ago
14

(7^2)^4= n^8 solve for n

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

n=7

Step-by-step explanation:

(7^2)^4= n^8

We know that a^b^c = a^(b*c)

7^(2*4) = n^8

7^8 = n^8

Since the exponents are the same, the bases must be the same

n=7

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Mr.Nelson bought a coat on sale for $27 less than third its original price . He paid $54. What was the original price?
MAVERICK [17]

Answer:

$243.

Step-by-step explanation:

We can use algebra here.

Let x = the original price.

Then  1/3 x - 27 = 54

1/3x = 54 + 27 = 81

x = 81 /  1/3

x = 81 * 3

x = $243  (answer).

6 0
3 years ago
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Daniela is a stain glass artist; she created the window below for her living room. What is
OLga [1]
The window has a shape of a semi-circle (half of a circle).

We know the diameter d = 12 ft.

The area of a (complete) circle is given by the formula:
A = π × r²

The radius can be found by halving the diameter:
r = d ÷ 2
  = 12 ÷ 2
  = 6 ft

Therefore the area of the circle will be:
<span>A = π × r²
    = 3.14 × 6</span>²
    = <span>3.14 × 36
    = 113.04 ft²

And the area of the semi-circle:
A = </span><span>113.04 </span>÷ 2
   = 56.52 ft²

Hence, the area of the window will be 56.52 ft².
3 0
3 years ago
Running Problem, Please Help!!!
kap26 [50]

Answer:

400

Step-by-step explanation:

5 0
3 years ago
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At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017
Anarel [89]

Answer:

$4,116

Step-by-step explanation:

Worth of Mike's car at the start of 2014 = $12,000

If the car is said to depreciates every year by 30% = 30/100 = 0.3

The worth of the car at the start of 2017 is what we are to determine.

This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)

The worth at the start of 2017 would be calculated as follows:

12,000 × (1 - 0.3)³

= 12,000 × (0.7)³

= 12,000 × 0.343

= 4,116

Worth of the car at the start of 2017 would be $4,116

4 0
3 years ago
A 24 inch board is cut into 3 pieces so that the second piece is twice as long as the first and the third is 3 times as long as
Lady_Fox [76]

Answer:

The answer to your question is:  first piece = 4 in, second piece = 8 in, third piece = 12 in

Step-by-step explanation:

Data

total length = 24 inches

first piece = x in

second piece = 2x

third piece = 3x

Equation

               x + 2x + 3x = 24

               6x = 24

               x = 24/6

               x = 4               length of the first piece

second piece = 2(4) = 8 inches

third piece = 3(4) = 12 inches

3 0
3 years ago
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