At 10: 00 am, rick arrived at the location of a gromflomite who had died. the temperature of thelocation was 64°f, and at the time of death, the body temperature of the gromflomite was 85.3°f. rick took the body’s temperature at 10: 30 am, at which time it was 76.3°f, and then againat 11: 00 am, at which the temperature was 72.7°f. at what time did the gromflomite die? [round answer to the nearest minute.]

the time of death td= 9:42 am

Step-by-step explanation:

If we suppose that a mass of constant heat capacity is cooled at a rate that is proportional to the temperature difference between the body and the environment then we can use an exponencial model for the body temperature as

T - T env = a*e^(-t/b)

then

if we use the reference t=0 as 10:30 am , then at t=0 , T= 76.3°F and

T - T env = a*e^(-t/b)

76.3°F-64°F = a*e^(-0/b)

a = 76.3°F-64°F = 12.3 °F

then for  t= 0.5 hours (11:00 am from 10:30 am) ,T= 72.7°F and

T - T env = a*e^(-t/b)

72.7°F - 64°F = 12.3 °F*e^(-0.5 h /b)

b = -0.5 h/ln [( 72.7°F - 64°F) / 12.3 °F ] = 1.44 h

finally for Td=85.3°F the time of death td= is

Td - T env = a*e^(-td/b)

td= -b* ln[(Td - T env)/a]

td= - 1.44 h * ln[(85.3 °F - 64°F )/12.3 °F ] ]= - 0.79 h from 10:30 am

therefore

td= - 0.79 h*60 min/hour= -47.4 min from 10:30 am = 9:42 am

Note :

we applied the following physical model to end with the exponencial function

Q= m*c * (T-To) → dQ/dt= m*c*dT/dt

and -dQ/dT= U*A*(T- T env)

then

m*c*dT/dt =  -U*A*(T- T env)

-dT/dt = U*A/(m*C) *(T - T env)

ln ( T- T env) = U*A/(m*C) (-t) + C

T- T env = e^(U*A/(m*C) t + C) = e^[U*A/(m*C)*(-t)] *e^C

T- T env = a*e^(-t/b)

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week