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:
If a is positive, the parabola will open to the right, so the answer is C
Step-by-step explanation:
Answer:
1. 1/5
Step-by-step explanation:
The question is basically asking what each "y" is being multiplied to get the next "y".
2*1/5=2/5
2/5*1/5=2/25
2/25*1/5=2/125
60% of
35 is 21
Change the percentage (60) into a decimal by dividing it over 100:
Divide 21 by the decimal:
<span>
</span>
(45+20)/(42+45+20+32)
65/139
<span>46.762589928%</span>
