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Rus_ich [418]
3 years ago
9

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

Mathematics
1 answer:
frosja888 [35]3 years ago
7 0

Answer:

256π/3 cm³

Step-by-step explanation:

d = 2r => r = d/2 = 4cm/2 = 2 cm

V(sphere) = 4π·r³/3

= 4π·64/3 cm³

= 256π/3 cm³

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Write each decimal using a negative exponent.
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Answer:

The answer to your question is below

Step-by-step explanation:

When using scientific notation,

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- when we move the decimal point to the left, the power will be positive.

a) 0.00001    move the decimal point 5 places to the right   1 x 10⁻⁵

b) 0.001         move the decimal point 3 places to the right   1 x 10⁻³

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x=  -7

Step-by-step explanation:

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3 years ago
If f(x) =5x-25 and g(x) = (1/5)X+5, which expression could be used to verify g(x) is the inverse of f(x)
mina [271]
Answer:
f(g(x)) = x

Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other. 
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
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The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)

Hope this helps :)
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