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katrin2010 [14]
3 years ago
13

Simplify –3.7(3.1 − s) =

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0
Answer: -11.47 + 3.7s

-3.7(3.1-s)
-3.7*3.1-3.7*(s)
-11.47 + 3.7s
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A square picture on the front page of a newspaper occupies an area of 24 square inches. Find the length of each side of the squa
Hoochie [10]

Answer:

Well if you are trying to find the length of each side you Divide 24 by 4 so your answer would be 6

Step-by-step explanation:


5 0
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
Let’s assume the 147 freshman maintained a 65% attendance rate during the first 4 week of school. If our next 4 week goal for at
shutvik [7]

Answer:

  • 12 students  

Step-by-step explanation:

If 65% equals 147

Then to maintain 70% there is a need for 5% more

<u>Which equals</u>

  • 5*147/65 ≈ 12 students
4 0
3 years ago
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Solve for the rational equation 1/x = x/x+1
babymother [125]

Answer:

the answer is x=1/2

Step-by-step explanation:

hope this helps if not let me know have a blessed day

8 0
2 years ago
Solve the system through<br> substitution:<br> 2x-y=8<br> 3x+2y=5
levacccp [35]
Give the full question bro
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2 years ago
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