1 year ago

A number is multiplied by 2, and then 5 is subtracted. The result is 43.

Mathematics

1 answer:

irga5000 [103]1 year ago

5 0

Answer: The answer is 7.

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Find the slope of a line parallel to each given line Y equals -1÷3 X +3

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The answer for this will be

-1/3x+3

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2 years ago

Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note

Viktor [21]

a. Recall that

$\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C$

For $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

By integrating both sides, we get

$\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

If $x=0$ , then

$\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0$

so that

$\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

We can shift the index to simplify the sum slightly.

$\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n$

b. The power series for $x\ln(1-x)$ can be obtained simply by multiplying both sides of the series above by $x$ .

$\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n$

c. We have

$\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)$

$\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}$

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2 years ago

What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −2/3

Firdavs [7]

Answer:

D+B 12

Step-by-step explanation:

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2 years ago

Ariel receives

tatyana61 [14]

She can get $12. X= ($42)(2/7)

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Vinil7 [7]

Answer: 110

Step-by-step explanation:

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