Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
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List the factors of 24,30, and 24. Factors of 24: 1,2,3,4,6,8,12,24. Factors of 30: 1,2,3,5,6,10,15,30. Factors of 42: 1,2,3,6,7,14,21,42. The highest number that all of these numbers is 6. Therefore, the greatest common factor of GCF of 24,30, and 42 is 6.
Answer:
this is just math jargon... a conjugate is the same numbers but with an opposite sign.. got it?
Step-by-step explanation:
z1' ( the prime is often used for conjuates it's also used in calculus but later)
Z1' =8-i
Answer:
Well, at least you improved. But maybe you should use another source besides brainly for your tests. Sometimes people put the wrong answers just to get points.
I hope you do better next time! Good luck!!