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Novosadov [1.4K]
2 years ago
8

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 7 feet and

a height of 10 feet. Container B has a radius of 6 feet and a height of 14 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of water in Container B, to the nearest tenth of a cubic foot?
Mathematics
1 answer:
skelet666 [1.2K]2 years ago
5 0

Answer:

8

mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

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Pleasssseeee hellllpllllllppppp???????
olchik [2.2K]

Answer:

f(x) and g(x) are inverse functions

Step-by-step explanation:

In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then

f(x) and g(x) are inverse functions

Let us use this rule to solve the question

∵ f(x) = 3x²

∵ g(x) = \sqrt{\frac{x}{3}}

→ Find f(g(x)) by substitute x in f(x) by g(x)

∴ f(g(x)) = 3(\sqrt{\frac{x}{3}})²

→ Cancel the square root with power 2

∴ f(g(x)) = 3(\frac{x}{3})

→ Cancel the 3 up with the 3 down

∴ f(g(x)) = x

→ Find g(f(x)) by substitute x in g(x) by f(x)

∴ g(f(x)) = \sqrt{\frac{3x^{2}}{3}}

→ Cancel the 3 up with the 3 down

∴ g(f(x)) = \sqrt{x^{2}}

→ Cancel the square root with power 2

∴ g(f(x)) = x

∵ f(g(x)) = g(f(x)) = x

→ By using the rule above

∴ f(x) and g(x) are inverse functions

5 0
2 years ago
Pls help I have no clue
suter [353]

Step-by-step explanation:

y-2 = - 3(x-3)

y - 2 =-3x +9

y -2 +2 = - 3x +9 +2

y = - 3x +11

To find the the coordinate

When x =0

y = - 3(0) +11

y= 11

When y = 0

0 = - 3x +11

Subtract 11 from both sides

-3x = - 11

x = 11/3

The y intercept is 11 so, one of your points will be at (0, 11) while the other will be at (11/3, 11).

4 0
3 years ago
Product of (8.6×10^2)(3×10^2)in scientific notation
Snowcat [4.5K]

Answer:

in scientific notation = 2.58 × 10⁵

I hope I helped you^_^

8 0
2 years ago
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4​ unit. How many 1/4 unit cubes
34kurt

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

4 0
2 years ago
Read 2 more answers
Your principal surprises you by buying your class a turtle. He brings the turtle to your class along with a sheet from the pet s
Nitella [24]
The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.

We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.
7 0
2 years ago
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