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3 years ago

Enter an algebraic expression that represents eight less than the sum of v cubed and sixty-four.

Mathematics

2 answers:

iren [92.7K]3 years ago

8 0

Answer:

8 - v³ + 64

Step-by-step explanation:

Eight less than = a subtraction sign "8 -"

The sum of v cubed and sixty-four = v³ + 64

Hope this helps!

Mrrafil [7]3 years ago

8 0

Answer:

$8 - v^{3} + 64$

Step-by-step explanation:

"Less" = minus

"Cubed" = 3

You are adding v^3 to 64, but subtracting that from 8

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Hi! I need help with the attached question in calc. Thank you:)

Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

$\displaystyle V=\pi \int_a^b [R(y)]^2\, dy$

So:

$\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy$

Simplify:

$\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy$

Integrate:

$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$

We acquire the exact same answer.

8 0

3 years ago

PLZ, HELP WILL GIVE 20 MORE POINTS FOR FREE!!!!!!

GrogVix [38]

Answer:

16x+12

Step-by-step explanation:

4 sides

2*(5x-2 )

10x-4

2(3x+8)

6x+16

10x-4+6x+16=16x+12

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3 years ago

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The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the length, in f

VMariaS [17]

1 inch = 13.5 feet

5 inches = 5 * 13.5 = 67.5 feet

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4 years ago

PLEASE HURRY!!! 30 POINTS

erik [133]

The answer is 23.6! 1 pint is equal to 0.473176, and 50 is equal to 23.6! Hope this helps :)

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4 years ago

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please answer correctly! This has 2 slides of questions but please answer correctly. I need this <3 :)

Darina [25.2K]

Answer:

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