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jasenka [17]
3 years ago
9

:)Merry christmas eve may you guys please help me with this :)

Mathematics
2 answers:
nata0808 [166]3 years ago
7 0
It’s 4 trust me
I just looked it up to make sure
Mariana [72]3 years ago
6 0

the answer is to this is c

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$i^5+i^{-25}+i^{45}$<img src="https://tex.z-dn.net/?f=%24i%5E5%2Bi%5E%7B-25%7D%2Bi%5E%7B45%7D%24" id="TexFormula1" title="$i^5+i
gregori [183]

i^5+i^{-25}+i^{45}

Rewrite the term i^{-25}

=i^5+\dfrac{1}{i^{25}}+i^{45}

Expand each term so we have

=i(i^2)^2+\dfrac{1}{i(i^2)^{12}}+i(i^2)^{22}

Use the fact that i^2=-1

=i(-1)^2+\dfrac{1}{i(-1)^{12}}+i(-1)^{22}

Use the fact that (-1)^{a}=1 when a is an even number

=i+\dfrac{1}{i}+i

Simplify

=i-i+i

=i

Let me know if you need any clarifications, thanks!

3 0
3 years ago
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There are 18 people waiting for the train. Eight-ninths of them have an umbrella. How many people waiting for the train have an
Pie

Answer:

Step-by-step explanation:

Ok, so there are 18 people. If 8/9 have umbrellas, how many have umbrellas?

There is a simple solution to this.

First, lets find out how much people is 1/9

We can do this by dividing 18 by 9 to get 2

So 1/9 of the group is 2 people.

Now you can use this to find 8/9 by multiplying 2 by 8

This gives you the total of 16

Another way you could do this was take the answer from the first step and subtract that from the 18

9/9 - 1/9 = 8/9   => 18 - 2 = 16

Hope this helps! =)

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