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Mariulka [41]
3 years ago
11

How do you simply 0.63

Mathematics
2 answers:
Sauron [17]3 years ago
8 0
You can write it as 63/100
Serhud [2]3 years ago
5 0
63/100 or 63% is 0.63 simplified
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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
Help me as soon as possible PLEASE HELP
disa [49]

Answer:

QRT = 47, TRS = 133

Step-by-step explanation:

Since QRS is a line, QRT + TRS = 180.

QRT+TRS=180\\3x+5+10x-7=180\\

Then, solve for x. Combine like terms.

13x-2=180\\13x=182\\x=14

Then, plug in 14 for x.

1. (3*14+5)\\\\QRT = 47\\\\2. (10*14-7)\\\\TRS = 133

7 0
3 years ago
Which point is on the graph of f(x)=2x5^x
ExtremeBDS [4]
Answer: 1, 10



Step by step explanation:

6 0
3 years ago
A bag is on sale for $30. If the sale is 25% off, what was the original price of the bag? Explain your thinking
Eva8 [605]

Answer:

30x25/100

25%=7,5$

30+7,5$=37,5$

The original price was 37,5 because you had to first find out what was 25% in $ to then do the opposite of a sale since we are finding the original price so we have to add it to 30$ since 30$ was the price after the sale.

Hope this helps, have a good day!

Pls mark brainliest :))

Step-by-step explanation:

5 0
3 years ago
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The function C(x) = 12x + 600 represents the cost to produce x number of items. How many items should be produced
Svetllana [295]

Answer: x= 50

Step-by-step explanation:

5 0
3 years ago
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