Answer:
Step-by-step explanation:
So we want to make x the subject of the formula:
First, distribute the left side:
Combine all the terms with x with it on one side. To do this, first subtract bx from both sides. The right side cancels:
Remove the -ab from the left. Add ab to both sides. The left side cancels:
Now, distribute out the x from the left side:
Divide both sides by (a-b). The left side cancels:
Therefore:
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:
C would be your answer as the formula for the volume of a cone is pi*r²*h/3
Step-by-step explanation:
Answer:
90? maybe... i'm not positive but i hope it helped
Step-by-step explanation:
2 tons = 4000 pounds and so 1/4 ton = 500 pounds, so the answer is 4500 pounds
