3 years ago

How many different ways can 6 students be seated in a row?

Mathematics

1 answer:

inna [77]3 years ago

6 0

$6!=720$
....................

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Help!! Which of the following best represents Z1 • Z2 select all that apply

AURORKA [14]

$z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)$

$z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)$

$\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}$

$\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}$

$\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}$

$\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\$

$Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)$

$=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)$

On simplifying, we get

$Z_1* Z_2 =-3\sqrt{2}$

<h2>Therefore, correct option is 1st option.</h2>

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3 years ago

What equation is equivalent to x + 8 = 21

san4es73 [151]

Answer:

x= 13

Step-by-step explanation:

x + 8 = 21

x + 8-8 = 21-8

x = 13

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3 years ago

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mafiozo [28]

Answer:

4x − 30 = ≤12

Step-by-step explanation:

4x − 30 = ≤12

+30 on both sides

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2.865

Step-by-step explanation:

pls rate five stars, thanks :)

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3 years ago

Suppose a city with population 600, 000 been growing at a rate of 3% per year. If this rate continues, find the population of th

Yanka [14]

Answer:

600,000(1+0.03)^20 that’s your equation. use a calculator. remove decimals from your answer because its not possible

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3 years ago