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bixtya [17]
3 years ago
13

The volume of a cylinder is 4 pi x3 cubic units and its height is x units.

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0

Answer:

2x

Step-by-step explanation:

The volume of a cylinder, V is given by the formula,

V=\pi r^{2}h

Where, r is the radius and h is the height of the cylinder.

Here, V=4\pi x^{3}, h=x. Plug in these values and solve for radius, r.

This gives,

V=\pi r^{2}h\\4\pi x^{3}=\pi r^{2}x\\r^{2}=\frac{4\pi x^{3}}{\pi x}\\r^{2}=4x^{2}\\

Taking square root both sides, we get

\sqrt{r^{2}}=\sqrt{4x^{2}}\\r=2x

Therefore, the radius of the cylinder can be expressed as 2x.

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Which equation shows the point slope form of the line that passes through (3,2) and has a slope of 1/3
olasank [31]

Answer:

y=-1/3x+4/3

Step-by-step explanation:

y-y1=m(x-x1)    m=1/3 x1=3 y1=2

y-2=1/3(x-2)

y-2=-1/3x-2/3

y=-1/3x+4/3

7 0
3 years ago
Calculate the standard score of the given X value, X=28.3, where μ=26.3 and σ=28.1 and indicate on the curve where z will be loc
zmey [24]

Answer:

Standard score z=0.07

Step-by-step explanation:

The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.

For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{28.3-26.3}{28.1}=\dfrac{2}{28.1}=0.07

This value is 0.07 standard deviations right to the mean.

In the picture attached, we have located the z-score.        

5 0
3 years ago
Help!!! ( look at picture)
eimsori [14]

Answer:

B

Step-by-step explanation:

The information on the graph is almost symmetrical, because the lines look almost the same length on both sides.

7 0
3 years ago
Read 2 more answers
If the product of 0x0 the same as the sum of 0+0? Explain
umka21 [38]
They are both the same because anything times 0 equal 0 and 0+0 equals 0.
5 0
3 years ago
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How do you factor 5x^2b^2 + 14xb^2 -3b^2
Monica [59]

Answer:

5b^2(x-0.2)(x+3)

Step-by-step explanation:

The first thing that I noticed was that all of the terms had a common factor of b^2. You can therefore factor that out first:

5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

5b^2(x-0.2)(x+3)

Hope this helps!

3 0
3 years ago
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