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vladimir1956 [14]
1 year ago
5

Can you please help we with this a/5 -23 = -25

Mathematics
1 answer:
Elden [556K]1 year ago
7 0

To find the value for a in this equation, we can follow the next steps:

\frac{a}{5}-23=-25

First, multiply all of the equation by 5:

5\cdot(\frac{a}{5}-23=-25)\rightarrow\frac{5}{5}\cdot a-115=-125\rightarrow a-115=-125

Finally, add 115 to both sides of the equation:

a-115+115=-125+115\rightarrow a+0=-10\rightarrow a=-10

Therefore, the value for a is a = -10.

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3 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
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\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}

If x=0, then

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\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

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