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3 years ago

Name the angles shown check all that apply

Mathematics

2 answers:

Phantasy [73]3 years ago

7 0

Answer:

Right angle and Straight angle ( or supplementary)

Hope this helps!

vladimir2022 [97]3 years ago

6 0

Answer:

its a and b

hope i helped

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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

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

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

4 0

4 years ago

Given that 1 in. = 2.54 cm exactly, indicate what conversion factor is appropriate to convert 12.4 in. to centimeters.

Dahasolnce [82]

You are given that 1 inch = 2.54 centimeters, so to convert 12.4 inches to centimeters, you would multiply 12.4 in by 2.54 cm.

4 0

4 years ago

Solve the following problem. It may be helpful to use draw a chart on scrap paper to organize the information and write the equa

Ne4ueva [31]

Answer:

we can translate the problem into two equations. The first statement is translated to x + y = 10 where x represents the amount of cashews in the mix while y represents the amount of peanuts in the mixture. In this case, the second equation is translated to 5.60x + 2.30 y = 3.29*10. solving the two equations simultaneously, x is equal to 3 pounds while y is equal to 7 pounds

Step-by-step explanation

5 0

3 years ago

Read 2 more answers

I have a 79.43 and if I add 10% would it raise it to 80% grade wise

Nezavi [6.7K]

Answer:

87 grade

Step-by-step explanation:

if yo add a 10% overall grade to you 79.43 you will get an 87.373

79.43 x 10% = 7.943 (points added bc of your 10%added)

79.43 + 7.943 = 87.373

round it and you'll have 87 overall grade

4 0

3 years ago

In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?

irakobra [83]

Answer:891

Explanation:
1st term+common difference(desired term-1)

5+4(100-1)
9(100-1)
9•99
891

6 0

4 years ago

Name the angles shown check all that apply​

Name the angles shown check all that apply