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3 years ago

[02.06]

Mathematics

1 answer:

LenaWriter [7]3 years ago

8 0

I need help on that one too‍♀️

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Simplify the expression. 4² . 4². 4²

Ugo [173]

Answer:

16.16.16

Step-by-step explanation:

please let me know if I'm wrong

but I learned that you don't do 4×2 you have to multiply 4 twice by itself so it would be 16 because 4×4=16

3 0

3 years ago

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

3 years ago

Math grade 8 Problem 8 show work

Montano1993 [528]

Check the picture below.

4 0

3 years ago

Given the figure below, find the values of x and z. X= Z= (11x - 93) H 116 X

Marrrta [24]

Answer:

x = 19

z = 64

Step-by-step explanation:

Angles (11x - 93)° and 116° are vertical angles, so their measures are equal.

11x - 93 = 116

11x = 209

x = 19

Angles z° and 116° are a linear pair, so they are supplementary, and their measures have a sum of 180°

z + 116 = 180

z = 64

6 0

1 year ago

If you have 8/12 of a pizza, how many thirds do you have?

saw5 [17]

You would have 2/3 because 4 can go into the numerator 2 which makes the numerator of your answer 2, then 4 goes into 12 4 Times which makes the denominator of your answer which is 3 so 2/3

5 0

3 years ago

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