3 years ago

The equation d=m/v can be used to calculate the den

Mathematics

1 answer:

FromTheMoon [43]3 years ago

4 0

yes you are right, density formula is :

density = mass ÷ vol

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The graph of f(x) = 13* - 6 is shown below.g(x) is a transformation of f(x).

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Answer:

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Step-by-step explanation:

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3 years ago

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

pantera1 [17]

This sequence has generating function

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

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

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

Take the derivative to get

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

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

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

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

Take the derivative one more time:

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

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

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

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3 years ago

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3 years ago

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oksano4ka [1.4K]

|4x-9|=5x

subtract 4 to both sides

and that will give you

|-9|=x then the 9 turns positive because of the brackets

9=X

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3 years ago

How fast should the ant walk to go around the rectangle in 4 minutes if the sides are 12 inches and 16 inches

Bess [88]

14 inches per minute.

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3 years ago

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