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spayn [35]
2 years ago
5

A number divided by 7 is 9

Mathematics
2 answers:
Alla [95]2 years ago
5 0
The answer is 63.i hope this helped.

Artist 52 [7]2 years ago
5 0
Rhe answer is 63 ddor this problem
You might be interested in
Calculus Problem
Roman55 [17]

The two parabolas intersect for

8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2

and so the base of each solid is the set

B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, |x^2-(8-x^2)| = 2|x^2-4|. But since -2 ≤ x ≤ 2, this reduces to 2(x^2-4).

a. Square cross sections will contribute a volume of

\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x

where ∆x is the thickness of the section. Then the volume would be

\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x

We end up with the same integral as before except for the leading constant:

\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx

Using the result of part (a), the volume is

\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x

and using the result of part (a) again, the volume is

\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}

7 0
2 years ago
478 divided 16 using partial quotients
Elena-2011 [213]
29.875 this is ur answer
5 0
3 years ago
What is the next sequence for 18,250, 18,500, 19,000, 20,000?
olchik [2.2K]
21,500 this is the answer
3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=7.75%20divided%20by%204%201%2F2" id="TexFormula1" title="7.75 divided by 4 1/2" alt="7.75 divi
Andrew [12]

Answer:

2.64516129

Step-by-step explanation:

5 0
3 years ago
1/ A submarine dives to 560 meters below water level, it then dives a further 750 metres to take more deep sea pictures. What is
bija089 [108]
Simply add -560 and -750 (remember same sides add and keep, different signs subtract) you should get -1310
5 0
2 years ago
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