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mestny [16]
3 years ago
11

5 to the 3rd power times 5 to the negative 2 power

Mathematics
1 answer:
Lerok [7]3 years ago
3 0
The equation is 5^{3} × 5^{-2}

First, you need to solve the bases/exponents 

5^{3} is 5×5×5=125

Then you solve the second base/exponent but know that with negative exponents, you divide 1 by the number rather than multiplying


5^{-2}= 1÷5÷5=.04

So now the equation is 125×.04=5

Answer: 5

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In the diagram below, the perimeter of the triangle is equal to the perimeter of the square. What is the length of a side of the
kondaur [170]

The perimeter of each is the sum of the lengths of its sides.

Triangle Perimeter = 16 + 4x-3 +3x = 7x+13

Square Perimeter = 2x +2x +2x +2x = 8x

If these are equal, you have

7x+13=8x\\\\13=x\qquad \mbox{subtract 7x}\\\\26=2x\qquad \mbox{multiply by 2}

The length of a side of the square is 26 units.

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3 years ago
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Answer:

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A ball is thrown with an initial velocity of 32 ft/s from a height of 4.5 feet. It’s height as a function of time is given by th
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3 years ago
The cost of fighting crime in a country increased significantly during the period 1982–1999. Total spending on police, courts, a
Mice21 [21]

Answer:

t→+[infinity] [ P ( t ) ] = $62.957 billion

t→+[infinity] [ f ( t ) ] = $143.214 billion

Step-by-step explanation:

Given:

- Total spending on police, courts, and prisons in the period 1982–1999 could be approximated, respectively,

                         P(t) = 1.743*t + 29.84 billion dollars (2 ≤ t ≤ 19)

                         C(t) = 1.096*t + 10.65 billion dollars (2 ≤ t ≤ 19)

                          J(t) = 1.917*t + 12.36 billion dollars (2 ≤ t ≤ 19)

Find:

- Compute lim t→+[infinity] for:

   P ( t ) and P ( t ) + C ( t ) + J ( t )

Solution:

- The limit as t→+[infinity] for the above three function can be accounted for by considering the domain of each function.

- All functions : P ( t ) , C ( t ) , J ( t ) have the domain 2 ≤ t ≤ 19:

- So in other words, lim t→+[infinity] = lim t→19

- The limits are as follows:

            lim t→19 [ P ( 19 ) ] = 1.743*19 + 29.84 = $62.957 billion

- The function f ( t ) is as follows:

            f( t ) = P ( t ) + C ( t ) + J ( t ) = 4.756*t + 52.85 billion dollars

            lim t→19 [ f ( 19 ) ] = 4.756*19 + 52.85 = $143.214 billion

3 0
3 years ago
I need the answers for this
velikii [3]

Answer:

q1 9.2

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