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mars1129 [50]
3 years ago
8

20 POINTS!!!!!!!!!

Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0
1) the answer is y=3x-2
Explanation: the slope is the number on the left side of x and the y-intercept is on the right side of x.

2) the answer is y=2x+3
Explanation: Henry's slope is the same as Adriana's (2/1). Henry's y-intercept is one lower than Adriana's, so you subtract (4-1=3) - Henry's y-intercept is 3.
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The quotient of 12 and the product of 5 and t
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Tennis balls with a 3 inch Diameter are sold in cans of three. The can is a cylinder
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Answer:

Step-by-step explanation:

A) The equation for the volume of a sphere is V=\frac{4}{3} \pi r^{3}

As the diameter of each ball is 3 inches, that would mean that the radius of each is 1.5 inches.

Now we can plug our value into the equation

V=\frac{4}{3} \pi (1.5)^{3}

This would simplify to

V = 14.12716694 in^{3}

B) The equation for the volume of a cylinder is V=d\pi h

As there are 3 balls in a container and the diameter of each is 3, that would mean that the height is 9 inches

Now we can plug in our values into the equation

V = (3)(9)\pi

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V = 27\pi in^{3}

C) To find the empty space, we must take the total volume, the volume of the cylinder, and subtract the volume of the tennis balls

This would mean that the equation would look like this

(27\pi)-(3(\frac{4}{3} \pi (1.5)^{3}))

This would simplify to

42.41150082 in^{3} of empty space.

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