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ludmilkaskok [199]
3 years ago
8

What is 9/1000 in its simplest form

Mathematics
2 answers:
mariarad [96]3 years ago
8 0
That should be the simplest form. 9/1000
dmitriy555 [2]3 years ago
7 0
It think it 9000.......
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How do you do this question?
Ksivusya [100]

Answer:

V = (About) 22.2, Graph = First graph/Graph in the attachment

Step-by-step explanation:

Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.

\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}

The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.

V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\

\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)

Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.

5 0
3 years ago
Three boxes are stacked one on top of the other. One box is
igor_vitrenko [27]
First, convert all measurements to inches. 

Box 1:
3ft(12in)=36in+6in=42in

Box 2:
4ft(12in)=48in+10in=58in

Box 3:
4ft(12in)=48in+5in=53in

Now, add the heights together.

42in+58in+53in=153in

Finally, convert added height to feet.

153in/12in=12 with a remainder of 9, so your final answer is 12ft 9in
6 0
3 years ago
Use this system of equations to answer the questions
Over [174]

Answer:

1. To eliminate x-term, multiply the second by -2

2. To eliminate y-term, multiply the second by 3

Step-by-step explanation:

4x - 9y = 7 (1)

-2x + 3y = 4 (2)

1. To eliminate x-term, multiply the second by -2

-2x + 3y = 4 (2) × 2

-4x + 6y = 8 (3)

4x - 9y = 7 (1)

Add (3) and (1)

6y - 9y = 8 + 7

-3y = 15

y = 15/-3

y = -5

4x - 9y = 7 (1)

4x - 9(-5) = 7

4x + 45 = 7

4x = 7 - 45

4x = -38

x = -38/4

x = -9.5

4x - 9y = 7 (1)

-2x + 3y = 4 (2)

2. To eliminate y-term, multiply the second by 3

-2x + 3y = 4 (2) × 3

-6x + 9y = 12 (3)

4x - 9y = 7 (1)

-6x + 4x = 12 + 7

-2x = 19

x = 19/-2

x = -9.5

4x - 9y = 7 (1)

4(-9.5) - 9y = 7

-38 - 9y = 7

-38 - 7 = 9y

-45 = 9y

y = -45/9

y = -5

6 0
2 years ago
Read 2 more answers
The length of a rectangle is five times its width. If the area of the rectangle is 320 cm^2, find its perimeter.
olchik [2.2K]
A = LW
A = 320
L = 5W

320 = W(5W)
320 = 5W^2
320/5 = W^2
64 = W^2
sqrt 64 = W
8 = W

L = 5W
L = 5(8)
L = 40

so the length (L) = 40 cm and the width (W) = 8 cm

P = 2(L + W)
P = 2(40 + 8)
P = 2(48)
P = 96  <=====
4 0
3 years ago
Can someone help me plz I am not in high school I am 11 and I don't get percentages %
monitta

Answer:in decimal form it is 0.12. in 12/100

Step-by-step explanation:

4 0
2 years ago
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