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2 years ago

What number is the same ratio to 64 as 5 is to 8

Mathematics

1 answer:

enot [183]2 years ago

7 0

Answer:

Answer is 24 and 40.

Step-by-step explanation:

if im wrong im sorry :(

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find the Taylor Series for tan−1(x) based at 0. Give your answer using summation notation and give the largest open interval on

enyata [817]

Let $f(x)=\tan^{-1}x$ . Then $f'(x)=\frac1{1+x^2}$ . Note that $f(0)=0$ .

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n\ge0}x^n$

This means that for $|-x^2|=|x|^2$ , or $-1$ , we have

$\displaystyle f'(x)=\frac1{1+x^2}=\frac1{1-(-x^2)}=\sum_{n\ge0}(-x^2)^n=\sum_{n\ge0}(-1)^nx^{2n}$

Integrate the series to get

$f(x)=f(0)+\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}$

$\implies\tan^{-1}x=\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}$

6 0

3 years ago

Write the translation

tatiyna

Translate 5 units to the right, and 2 units down

8 0

3 years ago

Solve for x: x + 8 = -3 show work please

nirvana33 [79]

Answer:

-11

Step-by-step explanation:

X + 8 = -3

x = -11

11-8

-11 - 8 = -3

6 0

3 years ago

Read 2 more answers

What would be the answer to 12x³+3x³+4y²+7x⁴?

Veseljchak [2.6K]

=7x^4+15x^3+4y^2 I hope this helps!!

6 0

3 years ago

A chef has 10 spice jars, but his new spice rack only holds 8 spice jars.

miskamm [114]

This is a statistics problem on permutation and combination. To differentiate this, permutation involves on the arrangement in which order doesn't matter. For combination, order matters.

For example, if you arrange A, B and C, for permutation it could be AB, BA, CA, AC, BC and CB. But for combination, it would just be AB, AC and BC.

So, in this problem where he is asked to arrange 8 jars in which order doesn't matter. It is permutation. You can solve this just by calculator. The formula would be nPr, where n is the total number of items while r is the number of items to be sorted. Thus,

nPr = 10P8 = 1, 814,400

Thus, the answer is B.

5 0

3 years ago