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levacccp [35]
3 years ago
13

Select the equivalent expression. (3^-8 • 7^3)^-2 =?

Mathematics
2 answers:
nordsb [41]3 years ago
6 0

Answer:

C

Step-by-step explanation:

We can expand, getting 3^(-8)(-2) multiplied by 7^(3)(-2).

The exponents on the 3 is 16 and -6 on the 7.

This is the same as c.

melomori [17]3 years ago
3 0
I’m pretty sure answer is A and i’m
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2 years ago
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Subtract a number plus 6 from a number minus 10
mash [69]

Answer:

(n+6)-(n-10)

Step-by-step explanation:

n is the number.

plus means addition

minus means subtraction

6 0
3 years ago
Which region labeled in the graph below would represent the solution (the final shaded area) to the system of linear inequalitie
Elena L [17]

Answer:

Region D.

Step-by-step explanation:

Here we have two inequalities:

y ≤ 1/2x − 3

y < −2/3x + 1

First, we can see that the first inequality has a positive slope and the symbol (≤) so the values of the line itself are solutions, this line is the solid line in the graph.

And we have that:

y ≤ 1/2x − 3

y must be smaller or equal than the solid line, so here we look at the regions below the solid line, which are region D and region C.

Now let's look at the other one:

y < −2/3x + 1

y = (-2/3)*x + 1

is the dashed line in the graph.

And we have:

y < −2/3x + 1

So y is smaller than the values of the line, so we need to look at the region that is below de dashed line.

The regions below the dashed line are region A and region D.

The solution for the system:

y ≤ 1/2x − 3

y < −2/3x + 1

Is the region that is a solution for both inequalities, we can see that the only region that is a solution for both of them is region D.

Then the correct option is region D.

5 0
3 years ago
The data represents the height, in feet, of various buildings. Find the Interquartile Range.
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Step-by-step explanation:

7 0
3 years ago
Find the distance from point A to the given line:<br> A(-1, 7), y=3x<br><br> How do I solve this?
kipiarov [429]

he formula of a distance between a point (a, b)

and a line Ax + By + C = 0:

d=\dfrac{|Aa+Bb+C|}{\sqrt{A^2+B^2}}

We have the point A(-1, 7) → a = -1, b = 7

and the line y = 3x → 3x - y = 0 → A = 3, B = -1, C = 0.

Substitute:

d=\dfrac{|(3)(-1)+(-1)(7)+0|}{\sqrt{3^2+(-1)^2}}=\dfrac{|-3-7|}{\sqrt{9+1}}=\dfrac{|-10|}{\sqrt{10}}=\dfrac{10\sqrt{10}}{\sqrt{10}\cdot\sqrt{10}}\\\\=\dfrac{10\sqrt{10}}{10}=\sqrt{10}

<h3>Answer: d = √10</h3>
3 0
3 years ago
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