Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.
<h3>Newton's law of cooling</h3>
According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.
Now;
T(t) = T(s) + (To - Ts)e^-kt
T(t) = temperature at time T
To = initial temperature
Ts = temperature of the surrounding
k = colling constant
t = time taken
200 = 68 + (230 - 68)e^-15k
200 = 68 + 162e^-15k
200 - 68/162 = e^-15k
ln(0.815) = -15k
k = ln(0.815)/-15
k = 0.014 min-1
Now;
100 = 68 + (230 - 68)e^-( 0.014t)
100 -68/162 = e^-( 0.014t)
0.198 =e^-( 0.014t)
ln(0.198) = -( 0.014t)
t = ln(0.198)/-0.014
t = 116 mins
Learn more about newtons law of cooling: brainly.com/question/14643865:
Givens
Start = S = - 700
# Correct = C = 8
Value Correct = VC = 400
# Incorrect =I = 9
Value Incorrect =VI = - 600
Equation
Score = S + C*VC + I*VI Substitute
Solve
Score = -700 + 8*400 + 9(-600)
Score = -700 + 3200 - 5400
Score = - 700 - 2200
Score = - 2900 <<<<< Answer
Answer:
3) 10
Step-by-step explanation:
Terms are numbered starting with 1. The third term of the sequence is 10.
Answer: D
Step-by-step explanation:
D The angle agacent to arc ML is half the degree. Your answer is 118
It’s either the first one or the last one, most likely none of the answers are correct