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hjlf
3 years ago
10

How to write 3 1/4 as a percent?

Mathematics
2 answers:
shusha [124]3 years ago
5 0
25*4=100, so you multiply both  and 1 by 25 to get 25%. since 1/4 is not a whole number, it becomes .25% and 3 is the whole number that comes before it. 3.25% is the way to write 3 1/4 as a percent.

Verizon [17]3 years ago
3 0
3 1/4 in a percent is 325%

Fraction : 3 1/4
Decimal: 3.25
Percentage: 325%

Hope this helps :D 
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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
4 years ago
A number increased by 6 and the result divided by 3 is 21. what is the number?​
kogti [31]

Answer:

Step-by-step explanation:

let the number be x

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x+6=21*3

x+6=63

x=57

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