Newton's law of cooling states that under forced convection (which is assumed to be true), then
dT(t)/dt = -k(T(t)-Ta)..............(1)
T(t)=temperature
Ta=ambient temperature=40F
k=cooling constant = 0.1947
T(0)=98.6F (assuming victim did not have fever)
Integrate (1)
T(t)-Ta=(T(t)-T(0))e^(-kt)
Solve for t
(T(t)-Ta)/(T(t)-T(0)) = e^(-kt)
take log:
-kt=log_e((T(t)-Ta)/(T(t)-T(0)))
substitute T(t)=80F, Ta=40F,T(0)=98.6F
-kt=log_e((80-40)/(98.6-40))=-0.38186
t=0.38186/0.1947
=1.96, or almost 2 hours (assuming k=0.1947 is in hours)
You need to flip the shapes over the x-axis and move over -8 to 0
Answer:
John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks. The equation best models the relationship between x and y is y = −25x + 175
Step-by-step explanation:
Answer:
to answer questions according to how it is