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3 years ago

Can someone help me with number 28

Mathematics

1 answer:

Fynjy0 [20]3 years ago

6 0

Okay,
So you divide 61 by 66= 0.92424

since the third number 0.004 is an 4 you round to 0.92

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Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

4 years ago

Can someone help me pls ?

r-ruslan [8.4K]

Answer:

58.3%

Step-by-step explanation:

Add up the numbers that are only in one circle

18+7+10 = 35

Take this over 60

35/60=.58333333

Change to percent form to one decimal place

58.3%

3 0

3 years ago

Ogether, teammates pedro and ricky got 2675 base hits last season. pedro had 283 more hits than ricky. how many hits did each pl

kondor19780726 [428]

Let Ricky = x; so equation: x + (x+283) = 2675 ; Re-arrange so x = Ricky = 1196 hits with Pedro 1196 + 283 = 1479.

7 0

3 years ago

Simplify -2.9f + .9f -12 - 4

Natalka [10]

$\huge\text{Hey there!}$

$\large\text{-2.9f + 0.9f -12 - 4}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\text{(-2.9f + 0.9f) + (-12 - 4)}\\\\\large\text{(-2.9f + 0.9f) = \bf{-2f}}\\\\\large\text{(-12 - 4) = \bf{-16}}\\\\\large\text{= \bf{-2f - 16}}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{-2f - 16}}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

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6 0

3 years ago

Solve for m: -14m = -28

Bingel [31]

Divide both sides by -14.

Answer:
m=2

6 0

3 years ago