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stepan [7]
3 years ago
5

Which is the value of this expression when a=5 and k=-2

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

Option C is correct.

Step-by-step explanation:

We are given the expression:

(\frac{3^2a^{-2}}{3a^{-1}})^k

The value of a =5 and k = -2

Putting the values and solving

=(\frac{3^2*5^{-2}}{3*5^{-1}})^-2\\=(\frac{3^{2-1}}{5^{-1+2}})^-2\\=(\frac{3^{1}}{5^{1}})^-2\\\\=(\frac{3}{5})^-2\\if \,\,a^{-1} \,\,then\,\, 1/a\\=\frac{(3)^{-2}}{(5)^{-2}}\\ Can\,\,be\,\,written\,\,as\\\\=\frac{(5)^{2}}{(3)^{2}} \\=\frac{25}{9}

Option C is correct.

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Which statement best explains the value of 16 − (−3)?
amm1812

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

8 0
3 years ago
A jewelry designer is making a pendant. The pendant will be a circular dis (center O) with a circular hold cut out of it, as sho
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Answer:

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Step-by-step explanation:

Given:

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Then, we find out the area of the circular hold cut out of the bigger one, its radius is a haft of the radius of the bigger circle = 35/2 = 17.5

πr^{2} = 3.14*17.5^{2} =961.6

=>  the area of the pendant = 3846.5  - 961.6  =2884.8 millimeters squared

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Step-by-step explanation:

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Step-by-step explanation:

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