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docker41 [41]
3 years ago
15

What are the two systems of equations for this graph?​

Mathematics
1 answer:
ANTONII [103]3 years ago
7 0
The system of equations to this graph is (1,1)
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Kiran reads 5 pages in 20 minutes. He spends the same amount of time per page. How long will it take him to read 11 pages? Do no
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44 minutes

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It takes him 4 minutes to read one page, so you multiple 4 by 11 and get the amount of time it takes him to read 11 pages

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Juan won and has a score of 8.5, the difference between there score is 3.5.
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Andru [333]

Answer:

21 Students played string instruments

Step-by-step explanation:

58 - 16 = 42, 42 ÷ 2 = 21 so 21 + 21 + 16 = 58. because there are sixteen more wind instruments that means you need to have the wind and string equal and then add 16 more winds which is what i did, if you have 21 string instruments and (21+16) 37 wind instruments then you have 58

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3 years ago
Find the volume V obtained by rotating the region bounded by the curves about the given axis.
BartSMP [9]

Using the disk method, the volume is given by the integral

\displaystyle \pi \int_{\pi/2}^\pi (9\sin(x))^2\,\mathrm dx = 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx

That is, each disk has a radius of <em>y</em> = 9 sin(<em>x</em>) and hence area = <em>π</em> (9 sin(<em>x</em>))². Add up infinitely many such disks by integrating. Then the volume is

\displaystyle 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx = \frac{81\pi}2 \int_{\pi/2}^\pi (1-\cos(2x))\,\mathrm dx \\\\ =\frac{81\pi}2 \left(x-\frac{\sin(2x)}2\right)\bigg|_{\pi/2}^\pi \\\\ = \frac{81\pi}2 \left( \left(\pi-\frac{\sin(2\pi)}2\right) - \left(\frac\pi2 - \frac{\sin(\pi)}2\right) \right) \\\\ = \boxed{\frac{81\pi^2}4}

8 0
3 years ago
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