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Savatey [412]
2 years ago
14

Twenty wooden spheres, each with a radius of 2 inches, are packed snugly into a square box that is 18 inches on each side. The r

emaining space is filled with packing beads. What is the volume occupied by the spheres?
Vsphere=\frac{4}{3}\pi r^3
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
7 0

Answer:

670.21 inches^3

Step-by-step explanation:

To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:

V = 33.51032

Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.

V = 20 * 33.51032

V = 670.2064

If you round to 2 decimal places, this becomes 670.21.

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What is the inverse of the function f(x) = 2x - 10?
aliya0001 [1]

Answer:

h(x) = \frac{1}{2} x+ 5

Step-by-step explanation:

To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:

y = 2x - 10

Switch positions:

x = 2y - 10

Add '10' to both sides to begin simplifying:

x + 10 = 2y

Divide both sides by 2:

y= \frac{x+10}{2}

This can be rewritten as:

y = \frac{1}{2} x+ 5

Therefore, the inverse of the function is:

h(x) = \frac{1}{2} x+ 5

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Ksenya-84 [330]
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What is the constant of variation for the quadratic variation? 0.1y = 3x2
svet-max [94.6K]

Answer:

The constant of variation for the given quadratic equation is, 30

Step-by-step explanation:

One of the form of a quadratic equation is written as:

y = kx^2     ....[1]

where k is the coefficient and for this case the constant of variation.

In order to obtain the answer for the given equation, we write the given equation to the form above.

0.1y=3x^2  or

y=(\frac{3}{0.1})x^2 or

y=30x^2

Comparing this equation with equation [1], to get the value of k;

k=30.

therefore, the  constant of variation is, 30.

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Please help( I will give brainliest) <br><br> Thanks
Katen [24]

Answer:

i think it's c.

Step-by-step explanation:

sorry if this is wrong

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Darya [45]

Answer:

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Step-by-step explanation:

36% converts to the decimal fraction 0.36.

36% can also be expressed in the reduced fractional form 36/100= 9/25.

8 0
3 years ago
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