3 years ago

The fish tank has 60 fish. 12 the fish have spots. What percent of the fish have spots?

Mathematics

1 answer:

Alik [6]3 years ago

5 0

Answer:

7.2 fish?

Step-by-step explanation:

60 x .12 = 7.2

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Question Part Points Submissions Used Use the method of cylindrical shells to find the volume V generated by rotating the region

pochemuha

Answer:

$V=\frac{448\pi}{5}$

Step-by-step explanation:

We are given that curves y= $3x^4$ is rotated about x=4 .

Given that y=0 and x=2

We have to find the volume V generated by rotating the region bounded by the curves with the help of method of cylindrical shells.

First we find the intersection point

Substitute y=0 then we get

0= $3x^4$

x=0

Hence, x changes from 0 to 2.

Radius =4-x

Height of cylinder =y= $3x^4$

Surface area of cylinder = $2\pi r h$

Volume V generated by the rotating curves

= $2\pi\int_{0}^{2} (4-x)(3x^4)dx$

V= $2\pi\int_{0}^{2}(12x^4-3x^5)dx$

V= $2\pi[\frac{12x^5}{5}-\frac{x^6}{2}]^2_0$

V= $2\pi[\frac{384}{5}-32]$

V= $2\pi\frac{384-160}{5}$

$V=\frac{448\pi}{5}$

Hence, the volume V generated by rotating the region by the given curves about x =4= $\frac{448\pi}{5}$ .

6 0

4 years ago

How many pounds are in 8.5 kilograms? The answer is 18.8 with rounding. How do I get this

dimaraw [331]

1 Lb is equal to 0.453592 Kg.

Therefore 8.5 Kg is equal to 18.7 Lbs. If you round 18.7 you get 19 Lb.

3 0

3 years ago

What is 270° converted to radians? A: pi/6 B: 3/2 C:3pi/2 D:3

Ilia_Sergeevich [38]

Answer:

(3pi/2)

Step-by-step explanation:

Conversion to radians:

270 * (pi/180)= (270pi/180)= (3pi/2)

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Korolek [52]

The answer would be C because the y-intercept is when x is equal to 0

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3 years ago

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Simplify. 8r(4 - p) 32r -p 32r - 8rp 32 - rp 4 - 8rp

Natalija [7]

$8r(4-p)=(8r)(4)-(8r)(p)=32r-8rp\\\\\text{Used:}\\\\\text{distributive property:}\ a(b-c)=ab-ac$

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3 years ago

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