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pychu [463]
3 years ago
13

Excerpt from a school newspaper:

Mathematics
2 answers:
maria [59]3 years ago
6 0

Answer:

A


Step-by-step explanation:

  • During 2008-2009 session, 20% of students were in A-B Honor Roll.
  • During 2009-2010, 200 out of 1000 students were in A-B Honor Roll. What's that in percentage? We divide 200 by 1000 and then multiply by 100:

\frac{200}{1000}=0.2*100=20

So, that's also 20%. That's the same as 2008-2009 session, so the principal is wronged!


Option A is correct: "<em><u>A) There was no change in the number of students on honor roll from one year to the next."</u></em>

Anika [276]3 years ago
5 0
A) There was no change in the number of students on honor roll from one year to the next. This is noticeable because 200/1000 = .2 just as 20%/100% = .2 or 20/100 = .2. So there never was a change! 
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Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y
professor190 [17]

Answer:

Required total charge is 256\pi coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

x^2=y^2\leq 16 so that the charge density at (x,y) is,

\rho (x,y)=2x+2y+2x^2+2y^2

To find total charge on the disk let Q be the total charge and x=r\cos\theta,y=r\sin\theta so that,

Q={\int\int}_Q\rho(x,y) dA                where A is the surface of disk.

=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA

=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta

=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta

=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta

=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta

=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi

=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi

=256\pi

Hence total charge is 256\pi coulombs per square meter.

3 0
3 years ago
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9966 [12]

Answer:

3m=18+12

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divide both sides by 3

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6 0
3 years ago
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3 years ago
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sveta [45]

Another way of finding Surface Area is

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W= Width

H= Height

the answer, and explained, would be this

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Answer: 3,750 miles

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= 3,750 miles

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2 years ago
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