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3 years ago

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The Surface area, S, of a cube (in square centimeters) can be modeled with the equation S=6V^3/2. Where V is the volume of cubic

centimeters.What is the volume of a cube with a surface area of 162 square centimeters?

1 answer:

Tems11 [23]3 years ago

4 0

I think the volume would be 12371.54

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Please answer this and will marked as brainlist

xeze [42]

<h3>Answer: 1</h3>

where x is nonzero

=======================================================

Explanation:

We'll use two rules here

(a^b)^c = a^(b*c) ... multiply exponents
a^b*a^c = a^(b+c) ... add exponents

------------------------------

The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.

Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)

-------------------------------

After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)

Add up those exponents (using rule 2 above) and we get

(a^2-b^2)+(b^2-c^2)+(c^2-a^2)

a^2-b^2+b^2-c^2+c^2-a^2

(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)

0a^2 + 0b^2 + 0c^2

0+0+0

0

All three exponents add to 0. As long as x is nonzero, then x^0 = 1

4 0

3 years ago

Does someone knows how to solve this?<br><br>Completing the Square:<br><br>x^2-6x=15

Mnenie [13.5K]

The answer to your question is

4 0

2 years ago

I will give you brainiest what is 3+3 go fast and what is 4+4

lina2011 [118]

Answer:

3+3=6 , 4+4=8

Step-by-step explanation: Brainliest pls

5 0

2 years ago

How long does it take an SR-71 Blackbird to make a surveillance run of 10,026 miles if it travels at an average of 2,228 mph

g100num [7]

This is simple division:
$t = \frac{10026}{2228}$

So, plug it into your calculator and you get:
$t = 4.5$

Your answer's that it takes 4.5 hrs for the surveillance run.

4 0

2 years ago

Which equation is an identity?

kirza4 [7]

Answer:

Option (3).

Step-by-step explanation:

Option (1).

3(x - 1) = x + 2(x + 1) + 1

3x - 3 = x + 2x + 2 + 1

3x - 3 = 3x + 3 [Not True]

Therefore, this equation is not an identity.

Option (2).

x - 4(x + 1) = -3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2 [Not true]

Therefore, this equation is not an identity.

Option (3).

2x + 3 = $\frac{1}{2}(4x + 2) + 2$

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3 [True]

Therefore, this equation is an identity.

Option (4).

$\frac{1}{2}(6x-3)=3(x+1)-x-2$

3x - 1.5 = 3x + 3 - x - 2

3x - 1.5 = 2x + 1 [Not true]

Therefore, this equation is not an identity.

6 0

3 years ago

Read 2 more answers