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Volgvan
3 years ago
15

Which monomial is a perfect cube? 16x6 27x8 32x12 64x6

Mathematics
2 answers:
Marizza181 [45]3 years ago
7 0

Answer:  The answer is (D) 64x^6.

Step-by-step explanation:  We are to select the correct monomial from the given options which is a perfect cube.

The first option is

y=16x^6=2\times (8x^6)=2\times(2x^2)^3\\\\\Rightarrow \sqrt[3]{y}=2x^2\sqrt[3]{2}.

So, this is not a perfect cube.

The second option is

y=27x^8=x^2\times (27x^6)=x^2\times(3x^2)^3\\\\\Rightarrow \sqrt[3]{y}=3x^2\sqrt[3]{x^2}.

So, this is not a perfect cube.

The third option is

y=32x^{12}=4\times (8x^{12})=4\times(2x^4)^3\\\\\Rightarrow \sqrt[3]{y}=2x^4\sqrt[3]{4}.

So, this is not a perfect cube.

The fourth option is

y=64x^6=(4x^2)^3\\\\\Rightarrow \sqrt[3]{y}=4x^2.

So, this is a perfect cube.

Thus, (D) 64x^6 is the correct option.

Svetlanka [38]3 years ago
5 0
Which monomial is a perfect cube?<span>16x6</span><span>27x8</span><span>32x12</span><span>64x<span>6

Its D </span></span>
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If sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered corr
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8 Is correct on EDGE 2020

Step-by-step explanation:

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4 years ago
Find the solution to the system of equations 2x+3y+z=20 3y+5z=12 y-5z=4
podryga [215]

Answer:

x =4 ,y =4 and z =0 is the solution.

Step-by-step explanation:

We shall solve the equations using elimination  method

In equation 2 and 3 we can see that  coefficient of z in both equations  are same with opposite sides , adding equations (2) and (3)

3y+5z = 12

y -5z = 4     adding the equations

___________

4y      = 16

dividing both sides by 4

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Plugging the value of y in equation 2 or equation 3 ,we get

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3 0
4 years ago
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∆ABC is similar to ∆DEF. The ratio of the perimeter of ∆ABC to the perimeter of ∆DEF is 1 : 10. The longest side of ∆DEF measure
exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC  is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is \frac{1}{100}

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

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Let

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y ----> the length of the longest side of ∆DEF

so

z=\frac{x}{y}

we have

z=\frac{1}{10}

y=40\ units

substitute

\frac{1}{10}=\frac{x}{40}

solve for x

x=(40)\frac{1}{10}

x=4\ units

therefore

The length of the longest side of ∆ABC  is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

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Answer:

Step-by-step explanation:

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Almonds       1                         $5.50           $3.00          $5.50        $3.00

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Can you say what happened to the overall "price level"?

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How might you construct a measure of the "change in price level"?

To construct a measure of the change in price level; we need to determine the consumer price index (CPI).

The consumer price index can be determined by using the relation:

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consumer price index (CPI) is 109.0% ; This implies that there is a 9.9% inflation in the economy.

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Julli [10]
624 is divided by 8. Hope this helps.
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3 years ago
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