Answer: Choice A
The volume expression is 4/3 times pi times (3x)^3
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The volume of a sphere is found through the formula
V = (4/3)*pi*r^3
so we start with the fraction 4/3, multiply it with pi, and then multiply it with r^3
In this case, the radius is r = 3x because this is half of the diameter d = 6x
We simply replace the r with 3x in that formula above
V = (4/3)*pi*r^3
V = (4/3)*pi*( r )^3
V = (4/3)*pi*(3x)^3 ... replace r with 3x
ans C) each additional t-shirt being printed will increase the total cost by$11
Answer:
36.25 is equal to the 45.5% of 79.67
Step-by-step explanation:
To solve this you just have to find the value that represents the 100%.
To do this, you can use the Rule of Three that allows you to solve problems of proportions.
In this case, you know that the 45.5% of the magnitude <em>X </em>is 36.25, now you have to find the value which corresponds to the 100%.
Mathematically it will be:

Then you have to solve the equation to find <em>X</em>:

And finally, the answer is:

2 7/8 = 23/8
2 1/4 = 9/4
23/8 / 9/4 =
23/8 * 4/9 = 92/72 = 1 20/72 = 1 5/18
(-∞,-4.196)∪(-4.196,-3)∪(-3,-1)∪(-1,0)∪(0,∞)