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
Answer:
Step-by-step explanation:
For a. the 14.7 represents the pressure that the air puts on you all the time.
For b. the d represents the depth you go under the surface of the water.
For c. we have to solve p(d) when d = 8:
p(8) = 14.7 + 0.445(8) so
p(8) = 14.7 + 3.56 and
p(8) = 18.26 psi
Answer:
A
Step-by-step explanation:

x + 4 = ± 2
x = -2
x = -6
Answer:
the answer would be 1.75 or 1 3/4
Step-by-step explanation:
When you add 12, 6, 4 and 2, you will get 24. 12 of the 24 teams wear red shirts, so for every 2 teams there would be 1 team wearing red