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Aloiza [94]
3 years ago
13

QUICKLY A sphere has a radius of 4 in. Which equation finds the volume of the sphere?

Mathematics
1 answer:
MissTica3 years ago
6 0

Volume of sphere formula: V = 4/3πr³

We are given the radius of 4, so, input that with r in the formula.

V = 4/3π(4)³

As we can see, option B has what we wrote above. So, that is the correct answer.

The answer is Option B.

Best of Luck!

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Using the distributive property, which of the following expressions is equivalent to 6(3 + 6y)?
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6*3 + 6y*6 = 18+36y The answer is D!
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Find the volume of a sphere with a diameter of 8cm
12345 [234]

Answer:

V = 267.95

Step-by-step explanation:

Volume of a Sphere:

V = 4/3πr³

r = d/2

r = 4

Work:

V = 4/3πr³

V = 4/3(3.14)(4³)

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V = 267.95

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erik [133]

Answer:

The answer is 1,785,815

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Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,
MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

       $=0-0+6$

       $=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

   It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴  x coordinate = $\frac{-(-7)}{2 \times 1} $

                         $\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

         = -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get   $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts  are the points where the parabola crosses the x-axis, which is the height $h(x)=0$. The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$.

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0
2 years ago
FOR BRAINLIEST ASAP!!!
a_sh-v [17]

Answer:

Calculator cost = $34

Step-by-step explanation:

x + (x+140) = 208

2x + 140 = 208

x=34

7 0
2 years ago
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