What is 56(x+12+4) simplified
2 answers:
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Answer:
31.4 in³
Step-by-step explanation:
The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.
The volume of the box is:
V = (6r)(2r)(2r)
V = 24r³
The volume of the 3 balls is:
V = 3 (4/3 π r³)
V = 4πr³
So the volume of the air is:
V = 24r³ − 4πr³
V = (24 − 4π) r³
Since r = 1.4 inches:
V = (24 − 4π) (1.4 in)³
V ≈ 31.4 in³
When you are multiplying an exponent directly into a number/variable with an exponent, you multiply the exponents together.
For example:
When you are multiplying a variable with an exponent by another variable with an exponent, you add the exponents together.
For example:
You multiply 3 into each exponent in the numerator and the denominator
When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.
When you have something like this:
You subtract the exponents together, so:
Your answer is the second option