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
Step-by-step explanation:
1.3×2×a×b
=6ab
2.c5×c
=c5+1
=c6
3.2y4×5y3
=10y4+3
=10y7
4.3gh2×4g3h3
=12g1+3h2+3
=12g4h5
Multiply both sides by 2.54.
Multiply both sides by x.
x = 60.96
Hence, Aaron needs 60.96 centimeters of wire.
Answer:
d) angle 6 is alternate interior angle to angle 3
e) angle 2 is alternate exterior angle to angle 7
