Newton's Law of Cooling states that the change
of the temperature of an object is proportional to the difference between its
own temperature and the ambient temperature over time.
Therefore when expressed mathematically, this is equivalent
to:
dT = - k (T – Ts) dt
dT / (T – Ts) = - k dt
Integrating:
ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)
Before we plug in the values, let us first convert the
temperatures into absolute values R (rankine) by adding 460.
R = ˚F + 460
T1 = 200 + 460 = 660 R
Ts = 70 + 460 = 530 R
ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)
T2 = 569.16 R
T2 = 109 ºF
Answer: After 2 hours, it will be 109 ºF
Answer:
(2×100) + (4×1) + (1÷10) + (7÷100)
The greatest possible temperature is 
and least possible temperature is 
<u>Solution:</u>
Given that according to weather forecaster the temperature will be about -5 degree celsius given or take 10 degree”
Need to determine greatest possible temperature and least possible temperature.
Give and take in given statement means a temperature can go up by 10 degrees and can go down by 10 degrees
So greatest possible temperature will be 
Least possible temperature will be 
Hence according to weather forecaster, greatest possible temperature = and least possible temperature =
The answer is C. Once you add the like terms x^2 and 4x^2 you get your answer.
