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3 years ago

What is 1/8 divided by 3

1 answer:

5 0

1 : 3
8

Make the whole number a fraction, by putting it over 1.

1 : 3
8 1

Turn the second fraction upside down and multiply:

1 . 1 = 1 
8 3 24

S = 1/24

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2 years ago

The ____ axis is vertical.

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3 years ago

Read 2 more answers

What percent of 55 is 44?

shepuryov [24]

125% maybe i don’t know for sure

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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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3 years ago

WILL MAKE BRAINLIEST

Tasya [4]

If Hannah gives her younger sister 3 shirts, it does not matter what order she hands them to her. No matter the order, it will still be the same group of 3 shirt. Since order is not important this problem can be solved using a combination.
Specifically, we are asked to find 8C3 (sometimes called "8 choose 3"). This is a fraction. In the numerator, we start with 8 and count down 3 numbers. In the denominator, we start with 3 and count all the way down to 1.
your answer is 56

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3 years ago