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Maslowich
3 years ago
6

What happens to the volume of a sphere when the radius is multiplied by 4?

Mathematics
1 answer:
tekilochka [14]3 years ago
5 0
Vsphere=(4/3)pir^3
Voriginal=(4/3)pir^3

when radius is multiplied by 4
replace r with 4r
Vnew=(4/3)pi(4r)^3
Vnew=(4/3)pi(64r^3)
Vnew=(64)(4/3)pir^3
Vnew=(64)(Voriginal)
the volume is 64 times the original
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The cost of producing pots is the initial investment, $175, plus $3.50 in materials per pot. Therefore, the function C(p) = 175
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Q1. The answer is 612.50

The function is C(p) = 175 + 3.5p
p - the number of pots

If we need to produce 125 pots, then p = 125
C(p) is then C(125). So calculate C(125)
C(125) = 175 + 3.5 * 125 = 175 + 437.5 = 612.5
So, the production of 125 pots costs $612.5.


Q2. The answer is 78.

The function is C(p) = 175 + 3.5p
C(p) is the cost of producing a p number of pots.
If our budget is $450, then C(p) = 450. So, we need to calculate p.
C(p) = 450
C(p) = 175 + 3.5p
450 = 175 + 3.5p
3.5p = 450 - 175
3.5p = 275
p = 275/3.5
p = 78.57

So, the number of pots that can be produced for $450 is 78.
We got 78.57 for p, but it must be rounded to the smallest rounded number because you cannot produce 0.57 of a pot.
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4 years ago
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TEA [102]

Answer:

It's choice 2.

Step-by-step explanation:

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