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2 years ago

Question about a rational expression

1 answer:

3 0

-9=6/v

You have to multiply v both sides because
6/v x v = 6 and helps you get rid of the v on the right side.
If you multiply by 6, 6/v x 6 = 36/v, that’s why it don’t work.

Answer:
-9=6/v
-9v=6
v=-6/9
v=-2/3

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A cylinder has a height of 16cm and a radius of 5cm. A cone has a height of 12cm and a radius of 4cm. If the cone is placed insi

Rus_ich [418]

Answer:

1055.04

Step-by-step explanation:

Cylinder

h = 16 cm

r = 5 cm

Volume = ?

Formula

V=pi * r^2 * h

Solution

V = pi r^2*h

V = 3.14 * 5*5*16

V = 1256 cm^3

Cone

h = 12 cm

r = 4 cm

Formula

V = (1/3) pi r * r * h

Solution

V = (1/3) 3.14 * 4 * 4 * 12

V = (1/3) 602.88

V = 200.96

Answer

Volume of unoccupied region = Cylinder - Cone

Volume of unoccupied region = 1256 - 200.96

Volume of unoccupied region = 1055.04

You will have to round it to the number of digits required.

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3 years ago

Which pair of triangles are congruent by ASA ?

NNADVOKAT [17]

Answer:

A,D

Step-by-step explanation:

ASA or "angle-side-angle" tells us that two triangles are congruent if two angles and the side contained between them are equal. Hence, we are looking for two angles that coincide in echa triangle, this is the case for the triangles in a. and b., and that the side that lies between the two angles is also equal in both triangles, again this is the case for a. and b.

4 0

3 years ago

Read 2 more answers

Place the indicated product in the proper location on the grid. (y + 1/3)(y - 1/3)

NeX [460]

Answer:

y² - 1/3

Step-by-step explanation:

I kind of don't understand the question. But I tried my best to understand.

The way I simplify it is to multiply it with each other.

(y + 1/3)(y - 1/3)

=> y² - y/3 + y/3 - 1/9

=> y² - 1/9

After simplifying, we got y² - 1/9

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2 years ago

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Giving Brainliest if correct!!

zloy xaker [14]

Answer:

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Step-by-step explanation:

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3 years ago

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Given the Production Function Q = 72X + 15X 2 - X 3 , where Q =Output and X=Input (5 marks) a) What is the Marginal Product (MP)

rusak2 [61]

Answer:

a.) Marginal Product (MP) = 120

b.) Average Product = 126

c.) At x = 12, the output is maximum.

d.) After 5 levels of inputs diminishing returns set in.

Step-by-step explanation:

Given that,

Q = 72x + 15x² - x³

a.)

Marginal Product is equal to

$\frac{dQ}{dx} = 72 + 30x - 3x^{2}$

At x = 8

MP = 72 + 30(8) - 3(8)²

= 72 + 240 - 192

= 120

∴ we get

Marginal Product (MP) = 120

b.)

Average Product is equals to

= $\frac{Q}{x}$

= 72 + 15x - x²

At x = 6

Average Product = 72 + 15(6) - 6²

= 72 + 90 - 36

= 126

∴ we get

Average Product = 126

c.)

For Maximizing Q,

Put $\frac{dQ}{dx} = 0$

⇒72 + 30x - 3x² = 0

⇒24 + 10x - x² = 0

⇒x² - 10x - 24 = 0

⇒x² - 12x + 2x - 24 = 0

⇒x(x - 12) + 2(x - 12) = 0

⇒(x + 2)(x - 12) = 0

⇒x = -2, 12

As items can not be negative

∴ we get

At x = 12, the output is maximum.

d.)

Now,

For Diminishing Return

$\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0$

⇒30 - 6x < 0

⇒-6x < -30

⇒6x > 30

⇒x > 5

∴ we get

For x > 5, the diminishing returns set in

i.e.

After 5 levels of inputs diminishing returns set in.

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3 years ago