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4 years ago

Find the value of 10!/(10-3)!

Mathematics

2 answers:

adelina 88 [10]4 years ago

8 0

<h2>Answer:</h2>

<em>The value is </em><em>720</em><em>.</em>

<h2>Step-by-step explanation:</h2>

So you have this 10!/(10-3)!

First, you need to subtract the numbers. -> 10!/(7)!

Now, you need to write the division as a fraction. -> $\frac{10!}{7!}$

Now, you need to expand the expression. -> $\frac{3628800}{5040}$

Last step is dividing those numbers. The answer is 720.

I hope I helped you. I will be really happy, If you mark my answer as the brainliest.Your David.

atroni [7]4 years ago

5 0

10!=3628800
10-3=7
7!=5040
3628800/5040=720

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amm1812

Answer:

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4 years ago

Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

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</span>
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