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3 years ago

Can you guys tell me what 6!/3!

Mathematics

2 answers:

NeTakaya3 years ago

7 0

Answer:

$\boxed{\sf{120}}$

Step-by-step explanation:

Use the factorials formula.

Factorials formula:

$\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}$

→ 6!/3!=6*5*4

⇒ 6*5*4

Solve a order of operations.

PEMDAS stands for:

Parenthesis
Exponents
Multiply
Divide
Add
Subtract

First, multiply.

→ 6*5*4

⇒ 6*5=30

⇒ 30*4=120

= 120

Therefore, the correct answer is 120.

I hope this helps you! Let me know if my answer is wrong or not.

Likurg_2 [28]3 years ago

4 0

$\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120$

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Step-by-step explanation:

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2 years ago

How many feet are shorter than 20 centermeters

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3 years ago

Read 2 more answers

BRAINLIEST IF CORRECT AND EXPLANATION Solve each equation in the interval [0, 2pi)

victus00 [196]

Answer: $\frac{\pi}{2}, \ \frac{5\pi}{4}, \ \frac{3\pi}{2}, \ \frac{7\pi}{4}$

We can write the four solutions as: pi/2, 5pi/4, 3pi/2, 7pi/4

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Work Shown:

$\sqrt{2}\cot(x)\sin(x)+\cot(x)=0\\\\\cot(x)\left(\sqrt{2}\sin(x)+1\right)=0\\\\\cot(x)=0 \ \text{ or } \ \sqrt{2}\sin(x)+1=0\\\\\frac{\cos(x)}{\sin(x)}=0 \ \text{ or } \ \sqrt{2}\sin(x)=-1\\\\\cos(x)=0*\sin(x) \ \text{ or } \ \sin(x)=\frac{-1}{\sqrt{2}}\\\\\cos(x)=0 \ \text{ or } \ \sin(x)=\frac{-\sqrt{2}}{2}\\\\$

Use the unit circle or reference sheet to find that $\cos(x)=0$ leads to $x = \frac{\pi}{2} \ \text{ and } \ x = \frac{3\pi}{2}$ when working with the interval [0,2pi)

Also, use of the unit circle would show that $\sin(x)=\frac{-\sqrt{2}}{2}$ leads to $x = \frac{5\pi}{4} \ \text{ and } \ x = \frac{7\pi}{4}$ when working with the interval [0,2pi)

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Overall, the four solutions on the interval [0, 2pi) are

$\frac{\pi}{2}, \ \frac{5\pi}{4}, \ \frac{3\pi}{2}, \ \frac{7\pi}{4}$

To verify these solutions, plug them in one at a time into the original equation. You should end up with 0 = 0 after simplifying. Make sure your calculator is in radian mode.

3 0

3 years ago

If 2/3 = x/y then witch of the following must be true?

puteri [66]

Answer:

I believe the answere is the last one.

Step-by-step explanation:

Well, you stated earlier that 2/3 = x/y.Thus, 2=x and 3=y.So (x+1)/y means (2+1)/1.If you have any further question, please contact me.

Yours sincerely,

Manos

5 0

3 years ago

The depth of a local river averages 20 ft, which is represented as |−20|. In January, it measured 6 ft deep, or |−6|, and in Jul

mr_godi [17]

The computation shows that the difference in depth is 16 feet

<h3>How to calculate the value?</h3>

From the information, in January, it measured 6 ft deep, or |−6|, and in July, it was -22.

Therefore the difference between the depth will be:

= -6 - (-22)

= -6 + 22

= 16

Therefore, the difference in depth is 16 feet

Learn more computation on:

brainly.com/question/4658834

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1 year ago