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Margaret [11]
3 years ago
5

Please help! It's due soon.

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Answer:

Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.

Step-by-step explanation:

f(g(x)) = f(\frac{1}{4}\sqrt{x}) = 16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x

g(f(x)) = g (16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x

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The volume of a cone is 3.x cubic units and its height is x units.
Vika [28.1K]

Answer:

Radius of the cone's base is 3x ....

Step-by-step explanation:

We have given that the volume of a cone is 3πx³

Height = x units.

The volume of a cone of radius r and height h units is given by:

V= 1/3 π r² *h

Simply plug the values given in the question into the above mentioned equation:

1/3πr²*x = 3*π*x³

1/3r²*x= 3x³

r² = 3*3*x³/x

r²=9x²

Taking square root at both sides we get:

√r² =√9x²

r = 3x

Thus the radius of the cone's base is 3x.

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4 years ago
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Change 1.4 to a fraction.
kifflom [539]

1.4 as a fraction is 1 4/10 (simplified to 1 2/5).

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4 years ago
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A pharmacist whose salary became $640 a week had
irinina [24]
640 x 0.30= 192

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448 is the answer
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3 years ago
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Elizabeth states, "if the diagonals of a parallelogram are congruent, then the parallelogram is a rhombus." decide if her statem
Igoryamba
Hello,
Answer B: false

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Lamar works as a tutor for $12 an hour and as a waiter for $14 an hour. This month, he worked a combined total of 100 hours at h
alexdok [17]

Answer:

-2t + 1400

Step-by-step explanation:

If t represents the number of hours Lamar worked as a tutor, the number of hours he worked as a waiter can be represented by 100 - t.

Create an equation to represent the situation:

12t + 14(100 - t) = total earned

Simplify:

12t + 1400 - 14t = total earned

-2t + 1400 = total earned

So, the expression for the amount he earned is -2t + 1400

6 0
3 years ago
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