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
<span>There are 8 pints in 1 gallon, so 3 pints is 3/8 of a gallon </span>
Answer:
Please restate your question.
It needs the y-intercept to be decipherable.
Step-by-step explanation:
Hi! I'm happy to help!
Our town is composed of 2,000 people. Of those 2,000 people, 4/5 of them are middle class. The word 'of' usually means multiplication when it is in a word problem. So, we will multiply 2,000 by 4/5. When multiplying a whole number, we just multiply it by the numerator (top) and leave the denominator. (bottom)
2,000×4
8,000
8,000/5
Fractions are just a different way of putting division, so we can change this to a division problem:
8,000÷5=
1,600
1,600 of the people are middle class.
I hope this was helpful, keep learning! :D
Cos<span> 42° ~ 0.743
cos 42° = sin(90-42) = sin 58°
So sine of complementary angle also has same value as cos 42.
So sin 58 ~ 0.743
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