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My name is Ann [436]
3 years ago
13

James is 6 times older than his friend Zach . If Zach added 8 to his age and multiplied this sum by 3 . Write an equation that c

an be used to solve for zachs age in the box below , use Z as the variable .
Mathematics
1 answer:
swat323 years ago
5 0

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .

To find:

The equation that can be used to solve for zach's age.

Solution:

Let the age of zach be Z.

Zach added 8 to his age = Z+8

And multiplied this sum by 3 = 3(Z+8)

James is 6 times older than his friend Zach = 6Z

Now,

6Z=3(Z+8)

6Z-3Z=24

3Z=24

Divide both sides by 3.

Z=8

Therefore, the required equation is 6Z=3(Z+8) is age of zach is 8 years.

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Answer:

v =  \frac{32\pi}{3}

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v=33.52

Step-by-step explanation:

Given

f(x) = 4x - x^2

g(x) = x^2

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Required

The volume of the solid formed

Rotating about the x-axis.

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\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx

Integrate

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v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx

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v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx

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Integrate

v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0

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