Answer:
a. 50 weeks
Step-by-step explanation:
1
2
3
0
Answer:
The number of solutions of the system is 0
Step-by-step explanation:
we know that
When solving a system of equations by graphing, the solution of the system is equal to the intersection point both graphs.
In this problem the graphs do not intersect
therefore
The number of solutions of the system is 0
2) After how many minutes will the coffee be 100 degrees?
The temperature of the coffee after 16 minutes is 134 degrees and after 1.3 minutes the coffee be 100 degrees.
A differential equation is an equation that contains one or more functions with its derivatives.
A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees.
After 6 minutes, the coffee is 139 degrees.
Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
T=∫k(t-66)dt
=k(t²/2-66)+c
When t=0 and T=181
181=k(0-66)+c
181=-66k+c
when t=6, T=139
139=k(6²/2-66)+c
139=-48k+c
-42=-18k
Divide both sides by 18
k=7/3
139=-48×7/3+c
c=139+112=251
T=7/3(t-66)+251
The temperature of the coffee after 16 minutes
T=7/3(16-66)+251
T=7/3(-50)+251
T=134 degrees
After how many minutes will the coffee be 100 degrees
100=7/3(t-66)+251
100=7/3t-7/3(66)+251
100=7/3t-154+251
100=7/3t+97
100-97=7/3t
3=7/3t
9/7=t
1.3=t
Hence, the temperature of the coffee after 16 minutes is 134 degrees and after 1.3 minutes the coffee be 100 degrees.
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Answer:
Step-by-step explanation:
Answer:
f(-2) = -14
f(4) = -13
Step-by-step explanation:
(in picture)