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Rama09 [41]
3 years ago
14

the members of west valley high schools student council are planning this years school carnival. for the raffle, they plan to or

der one roll of 150 golden tickets. for the carnival games, they plan to order blue tickets that come in rolls of 200. based on last years numbers, then plan to order a total of 1,550 tickets. how many rolls of blue tickets should the student council order?
Mathematics
1 answer:
enot [183]3 years ago
5 0

Answer:

1700

Step-by-step explanation:

the answer is on the other answer

mark pls

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In certain economies, the government operates as the central authority, guiding the economy and controlling (and owning) many of
Andrej [43]

Answer:

b

Step-by-step explanation:

in certain economies, the government operates as the central authority, guiding the economy and controlling (and owning) many of the businesses. Instead of being produced to make a profit, goods and services are produced for uses planned by the government. What type of economy does this describe? A. gift economy B. market economy C. socialist economy D. laissez-faire economy

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3 years ago
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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

(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}}

5 0
3 years ago
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Natasha2012 [34]

Answer:

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Step-by-step explanation:

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pshichka [43]
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Can someone tell me which one it is
IrinaK [193]

Answer:

<h2>D</h2>

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