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3 years ago

9

5 \leqslant 5n - 1" align="absmiddle" class="latex-formula">
solve the inequality for n and write the answer in simplest form

1 answer:

ANTONII [103]3 years ago

7 0

Hello there!

n - 5 ≤ 5n - 1

Solve for n

Let's start by subtracting 5n from both sides

n - 5 - 5n ≤ 5n - 5n - 1

n - 5 - 5n ≤ -1

We need to transfer -5 on the other side, we can do that by adding 5 on both sides

n - 5 - 5n + 5 ≤ -1 + 5

n - 5n ≤ -4

-4n ≤ -4

Finally divide both sides by -4

-4n/-4 ≤ -4/-4

n ≥ -1 (This is the answer)!

Do you know why I changed the sign?

A lot of students failed to remember that rules, which is:
When you are solving an inequality, if you divide both sides by a negative sign, you MUST change the symbol as well. If it was this <, it will change to this >. Got it? Cool!

I hope the steps are clear to understand. If you have questions, feel free to let me know...

As always, I am here to help!

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<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

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While the volume of half a sphere is:

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Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

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2 years ago

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(22,0)

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