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Anettt [7]
3 years ago
7

Find the volume of this sphere. Use 3 for TT. V [?]in3 V = Tr3 8 in

Mathematics
1 answer:
frutty [35]3 years ago
4 0

Answer:

The volume of the sphere is 2048 in³.

Step-by-step explanation:

The volume of a sphere is given by:

V = \frac{4}{3}\pi r^{3}

Where:

r: is the radius = 8 in

Having the radius and by using 3 for π, the volume is:

V = \frac{4}{3}*3 (8 in)^{3} = 2048 in^{3}

Therefore, the volume of the sphere is 2048 in³.

I hope it helps you!        

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Subtract <br> 6 2/3 - 4 4/9
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Y=-3x^2-6x+24
Lera25 [3.4K]
The x-intercept is the point at which the function intersects the x-axis.
For any point on the x-axis, y = 0. Thus we can plug in 0 for y and solve for x.

y=-3x^2-6x+24 \\ 0=-3x^2-6x+24

Let's split the middle on this quadratic.
To do this we need to find two numbers that add to equal -6 and multiply to equal -72. (-3 times 24)
Consider ways to multiply to get 72.
72 = 36 ×2...that's not going to work.
72 = 24 × 3
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Now, split the middle and factor.

0=-3x^2-12x+6x+24\\0=-3x(x+4)+6(x+4)\\0=(-3x+6)(x+4)

Now you should know that anything multiplied by zero is zero.
So any value that makes one of those factors equal zero is an x-intercept.
Solve each of these equations.

-3x+6 = 0
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x+4 = 0
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Oh, and since all parabolas (graphs of quadratics) are symmetrical, our axis of symmetry will be the average between the two, which is x=-1.

Now for our y-intercepts. For any points on the y-axis, x=0, so if we plug in 0 for x and solve for y we'll get our y-intercept.

y = -3×0² - 6×0 + 24
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What about our vertex? Well, we know it's going to line up with the axis of symmetry, so let's just plug in -1 for x.

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y = -3×1 -6×-1 + 24
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Thus the vertex is (-1, 27)

The y value is not going to exceed 27, as this is a decreasing quadratic, (we already know y=24 is a possibilty) and this equation goes downwards infinitely, so our range is (-∞, 27)

As for x, well, it's sort of the input for our equation, meaning it can be whatever we want it to be. Thus the domain is (-∞, ∞)




3 0
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Algebra 2 Question, tagged in the link
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The answer to the question

7 0
3 years ago
880,005 rounded to the nearest hundred thousand what is the answer
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Answer:

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Step-by-step explanation:

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