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3 years ago

Is 1/2 between 0.1 and 0.2?

1 answer:

3 0

No, 1/2=0.5

This is because half of one is 0.5, since 0.5 x 2 = 1.

0.1 written as a fraction would be 1/10, since 0.1 x 10 = 1.
0.2 written as a fraction would be 1/5, since 0.2 x 5 = 2

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The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth

Lubov Fominskaja [6]

Answer:

$\frac{128\pi}{3}$ cubic units

Step-by-step explanation:

We are given that a region bounded by a curves $x=(y-7)^2$

x=4 and about y=5

We have to find the value of volume of the resulting solid

To find the volume of resulting solid we are using cylinder method

Substitute the values of x then we get

$(y-7)^2=4$

$y-7=\pm2$

y-7=2 and y-7=-2

y=7+2=9 and y=-2+7=5

Radius of cylinder =r=y-5

and height =h= $4-(y-7)^2=4-y^2-49+14 y=-y^2+14 y -45$

Using cylinder method and integrate along y -axis from y=5 to y=9

Volume = $\int_{a}^{b}2\pi r h dy=\int_{5}^{9}2\pi(y-5)(-y^2+14 y -45) dy$

volume= $2\pi\int_{5}^{9}(-y^3+19y^2-115y+225)dy$

Volume = $2\pi[-\frac{y^4}{4}+19\frac{y^3}{3}-115\frac{y^2}{2}+225y]^9_5$

Volume = $2\pi[-\frac{6561}{4}+\frac{625}{4}+19(\frac{729-125}{3})-115(\frac{81-25}{2})+225(9-5)]$

Volume= $2\pi(-1484+\frac{11476}{3}-3220+900)$

Volume = $2\pi(\frac{11476}{3}-3804)$

Volume = $2\pi(\frac{11476-11412}{3})=\frac{128\pi}{3}$

Hence, volume of resulting solid = $\frac{128\pi}{3}$ cubic units

3 0

3 years ago

Find the nth term of the following sequence: 7, 13, 19, 25,

Natalija [7]

The answer of the next term is 31

8 0

2 years ago

Read 2 more answers

Could someone plz help

Alex73 [517]

Answer:

The Answer would be 166

Step-by-step explanation:

From 115 to 132 is + 17

From 132 to 149 is + 17

So 149 + 17 = 166

Therefor your answer is 166

5 0

3 years ago

Read 2 more answers

Ariel is putting together lunch bags for 12 students going on a field trip. She put 5 apple slices and 6 orange slices into each

Orlov [11]

<span>Calculate how many pieces of fruit go into each bag. Add this to the number of students going on the trip.</span>

6 0

3 years ago

Read 2 more answers

In a sale, a shop reduces all its prices by 10%.

stepladder [879]

Answer:

The phone roughly cost 302 dollars

Step-by-step explanation:

10% of 432=43.2

20% of 432=86.4

432-129.6=302.4

3 0

2 years ago