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Advocard [28]
3 years ago
7

Dylan interpreted this graph of a solution and determined that the pet store gave away 15 bones and 31 toys at a recent pet adop

tion event. Is his answer correct? If not, what was his mistake?
Mathematics
1 answer:
Irina18 [472]3 years ago
7 0

Answer:

No, he switched the values for the variables.

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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
Read 2 more answers
What is 96/126 in simplest form
Elina [12.6K]
\frac{96}{126}\\\\96\ and\ 126\ are\ even\ numbers\ divisible\ by\ 2\\\\\frac{96:2}{126:2}=\frac{48}{63}\\\\48\ and\ 63\ are\ divisible\ by\ 3,\ because\ 4+8=12(divisible\ by\ 3)\\and\ 6+3=9(divisible\ by\ 3)\\\\\frac{48:3}{63:3}=\boxed{\frac{16}{21}}\leftarrow answer
5 0
3 years ago
Read 2 more answers
Need help ASAP please
Arturiano [62]
It See answers are disposable income and annual cost
3 0
4 years ago
Lena's guest house is 15 m long and 12 m wide. How long is the diagonal of the house?
Lerok [7]
Draw dagarm (see attachment)

we've got a right triangle
the legs are 12 and 15
and the hypohuse is the diagonal


remember, for any right tirnalge
when the legs are a and b and hytponuse is c then
a²+b²=c²

so
12²+15²=c²
144+225=c²
369=c²
sqrt both sides
√369=c
3√41=c
the diagonal is 3√41 m or about 19.2m

3 0
4 years ago
for the following system of equations if we want to eliminate the x's what number would you need to multiply the top equation by
zavuch27 [327]

Answer:

Step-by-step explanation:

The given system of equations is 4x - 9y = 7 and -2x + 3y = 4

In this system of equations in order to eliminate the x- terms we will multiply by a number so that coefficients of x may become same.

Therefore, to eliminate the x - terms we multiply second equation by 2.

Similarly to eliminate the y-terms we will multiply the equation by a number so that coefficient of y in both the equations become same.

Therefore, we will multiply second equation by 3.

3 0
3 years ago
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