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VMariaS [17]
3 years ago
11

The area of a base of a cylindrical water tank is 12π square feet. the volume of water in the tank is dependent on the height of

the water (h) and is represented by the function V(h) = 12π h
part a - find V to the power of -1 (h)
part b - what will the height of the water be when the volume reacher 420π cubic feet
Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

Step-by-step explanation:

V^-1(h)is find inverse function=h / 12π

V=12πh=420π

h=420π/12π=35 feet

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Jack has some marbles. He has ten more red marbles than blue marbles. He has fewer yellow marbles than blue marbles.
kap26 [50]

Answer:

<u>Jack has at least 15 marbles: 12 red, 2 blue and 1 yellow.</u>

Step-by-step explanation:

1. Let's review the information given to us to solve the problem correctly:

Number of red marbles = 10 more than blue marbles

Number of yellow marbles fewer than blue marbles

2. How many of each color marble could Jack have?

r = Number of red marbles

b = Number of blue marbles

y = Number of yellow marbles

r = b + 10

y < b

If y = 1, then b ≥ 2, and r = b + 10,

fulfilling the three conditions, we have:

<u>y = 1, b = 2, and r = 12</u>

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There are 3 terms, 5x^2, -3x, and 2

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3 years ago
Evaluate the function g(x) = 2x2 + 3x – 5 for the input values -2, 0, and 3.
Roman55 [17]

Evaluate the function

g(x) = 2x2 + 3x – 5 for the input values -2, 0, and 3.

This is tedious math work but necessary to sharpen your skills.

Let x = -2

g(-2) = 2(-2)^2 + 3(-2) – 5

g(-2) = 2(4) - 6 - 5

g(-2) = 8 - 11

g(-2) = -3

Now let x = 0 and repeat the process.

g(0) = 2(0)^2 + 3(0) - 5

g(0) = 0 + 0 - 5

g(0) = -5

Lastly, let x = 3.

g(3) = 2(3)^2 + 3(3) - 5

g(3) = 2(9) + 9 - 5

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Did you follow through each step?

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3 years ago
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