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2 years ago

A quantity y varies inversely with the square of x. If y=8 when x=3, find y when x is 4

Mathematics

1 answer:

choli [55]2 years ago

7 0

Answer:

look at the explanation

Step-by-step explanation:

In order to solve this, we'll set up a proportion.

Since y is inversely related to the square of x, therefore:

y=4/63 ----->9 (square of x)

y=?

25 (square of x)

According to the inverse relation:

y=4/63------->25

y=? --------

-->9 and y=4/175

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Evaluate the numericial expression (32 - 20) ÷ 4

SashulF [63]

Answer:

Step-by-step explanation:

(32-20)÷4

solve perentisis first

(12)÷4

now divide

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2 years ago

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Use differentials to estimate the amount of metal in a closed cylindrical can that is 26 cm high and 10 cm in diameter if the me

Afina-wow [57]

Answer:

The estimated amount of metal in the can is 87.96 cubic cm

Step-by-step explanation:

We can find the differential of volume from the volume of a cylinder equation given by

$V= \pi r^2 h$

Thus that way we will find the amount of metal that makes up the can.

Finding the differential.

A small change in volume is given by:

$dV =\cfrac{\partial V}{\partial h} dh + \cfrac{\partial V}{\partial r} dr$

So finding the partial derivatives we get

$dV =\pi r^2 dh + \pi 2r h dr$

$dV =\pi r^2 dh + 2\pi r h dr$

Evaluating the differential at the given information.

The height of the can is h = 26 cm, the diameter is 10 cm, which means the radius is half of it, that is r = 5 cm.

On the other hand the thickness of the side is 0.05 cm that represents dr = 0.05 cm, and the thickness on both top and bottom is 0.3 cm, thus dh = 0.3 cm +0.3 cm which give us 0.6 cm.

Replacing all those values on the differential we get

$dV =\pi 5^2 (0.6) + 2\pi (5) (26) (0.05)$

That give us

$V= 28 \pi \, cm^3$

Or in decimal value

$\boxed{dV= 87.96 \, cm^3}$

Thus the volume of metal in the can is 87.96 cubic cm.

6 0

3 years ago

9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?

solmaris [256]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

$f(x) = 5x - 4$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

$f(2a) = 5(2a) - 4$

$f(2a) = 10a - 4$

$156 = 10a - 4$

$10a - 4 = 156$

Add sides 4

$10a - 4 + 4 = 156 + 4$

$10a = 160$

Divide sides by 10

$\frac{10a}{10} = \frac{160}{10} \\$

$a = 16$

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3 years ago

is the diameter of a circle with center P. The coordinates of the endpoints of the diameter are (1, 3) and (6, 6). What are th

Oksana_A [137]

See picture for answer.

3 0

3 years ago

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Solve for n.<br> 3/4 x n = 1

cestrela7 [59]

3/4 times n=1

remember that when you multiply 3/4 by 4/3 you get 12/12=1 so it simplifies
remember that you can do anything to an equation as long as you do it to both sides

3/4 ties n=1
multiply both sides by 4/3 to clar fraction
12/12 times n=4/3 times 1
1 times n=4/3
n=4/3

answer is n=4/3 or 1 and 1/3

3 0

3 years ago