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svetoff [14.1K]
2 years ago
11

Hunter is 4.52 feet tall. His sister is 0.75 times his height. How tall is Hunter's sister

Mathematics
1 answer:
Dominik [7]2 years ago
4 0

Answer:

Hunter's sister is 4.53 feet tall.

Step-by-step explanation:

4.52 x 0.75 = <u>3.39 feet</u>


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Find a compact form for generating functions of the sequence 1, 8,27,... , k^3
pantera1 [17]

This sequence has generating function

F(x)=\displaystyle\sum_{k\ge0}k^3x^k

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Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k

Take the derivative to get

\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k

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Take the derivative again:

\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k

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Take the derivative one more time:

\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k

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so we have

\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}

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see explanation

Step-by-step explanation:

The largest angle is opposite the largest side and the smallest angle is opposite the shortest side.

Δ FUN

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Δ GEO

largest angle is ∠ GEO ( opposite GO )

smallest angle is ∠ GOE ( opposite GE )

---------------------------------------------------------------------------

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