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Nady [450]
3 years ago
12

Which expressions are equivalent to the one below? Check all that apply.

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
6 0

Use two main <u>properties</u> for <u>powers</u>:

1. (a^m)^n=a^{m\cdot n};

2. \dfrac{a^m}{a^n}=a^{m-n}.

The expression \dfrac{25^x}{5^x} can be simplified in following way:

\dfrac{25^x}{5^x}=\dfrac{(5^2)^x}{5^x}=\dfrac{5^{2x}}{5^x}=5^{2x-x}=5^x.

Then the expression \dfrac{25^x}{5^x} is equivalent to 5^x.

Answer: correct choice is D

In-s [12.5K]3 years ago
3 0
The answer is E:5
a^n/b^m=a/b^n/m
So x/x=1 and 25/5=5
Then 5^1=5
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The diameter of the inscribed circle in a regular hexagon is 4√3 inches long. What is the perimeter of this regular hexagon?
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Answer:

12√3 inches or 20.785 inches.

Step-by-step explanation:

A regular hexagon can be defined as a polygon with 6 sides.

The formula for the perimeter of a regular hexagon =

6 × the length of the sides of the hexagon.

From the above question, we are told that there is an inscribed circle I'm the hexagon with a diameter of 4√3 inches long

Step 1

Find the radius of the circle

Radius of the circle = 4√3/2 = 2√3 inches

Step 2

The radius of the inscribed circle = Length of one of the sides of a regular hexagon.

Hence, the perimeter of the regular hexagon = 6 × 2√3

= 12√3 inches

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(y+1/2  ; y)

Step-by-step explanation:

hello :  all  ordered pair is a solution of the linear equation x=y+1/2;(-5,-2) is :

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tamaranim1 [39]

Answer:

The amount in 20 years is $6,050.24

Step-by-step explanation:

Given the following information:

Principal (Present Value, or PV)= $3,100

Interest rate ( <em>r </em>)= 3.4% or 0.034

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Number of years ( <em>t </em>)= 20

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FV = PV(1 + \frac{r}{n})^{nt}

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