Answer:
ΔT = ΔT0 e^-K T
As I understand Newton's Law of Cooling
ΔT at any time is the difference between the temperature and the surroundings
Originally ΔT0 = 95 - 22 difference between 95 and room temperature
65 - 22 = 33 = 73 e^-KT where t is time to cool to 65 deg
ln (33/73) = -KT K = .794 / 5 = .159 where 5 is time to cool to 65 deg
40 - 22 = 73 e^-.159 T where t is time to cool to 40 deg
18 = 73 e^-.159 T
ln (18 / 73) = -.159 T
T = 8.8 min
It would take 8.8 min for the object to cool to 40 deg C
Suppose the object cooled from 95 to 90 deg, then
ln 68 / 73 = -.159 T and T = .45 min
Answer:
12in is you answer
Step-by-step explanation:
The formula to find circumference is 
so to rearrange to solve for radius that will be 
=
=11.94in
Answer:
54/7
Step-by-step explanation:
- Use the KCF method - Keep, Change, Flip
- 6 divided by 7/9 is just 6/1 divided by 7/9
- You can keep 6/1 as the way it is
- Next, you change the sign from division to multiplication
- Lastly, you flip 7/9 to 9/7
- It will now change from 6 divided by 7/9 to 6/1 x 9/7
- You now multiple 9 x 6 which is 54 and divide by 7
- You cannot simplify further so the answer is 54/7
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