math
posted by sandy .
Newton’s Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. The temperature u of a heated object at a given time t can be modeled by the following function:
u(t)=T+(uT)e^kt K<0
￼
where T is the constant temperature of the surrounding medium,
u ￼is the initial temperature of the heated object, and
k is a negative constant for a specific object
Our normal body temperature is usually warmer than the ambient air temperature indoors. Therefore, upon death, the body temperature will exponentially decay according to the function above. For the human body, k + 1/2.5￼, if temperature is measured in Fahrenheit.
Q) At 8:30 AM, the police forensic team was called to the Calgary home of a person who had apparently been murdered sometime during the night. In order to estimate the time of death, the person’s body temperature was measured. At 9:00 AM, the body temperature was 84.6 degrees Fahrenheit. Estimate the time of death.
thanks

math 
sandy
K= 1/2.5 sorry for the mix up
Respond to this Question
Similar Questions

Calculus
Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 303 F and left to cool … 
Math
Using Netwon Law of Cool, the graph of T(t)=S+(T subscript S)e^kt approaches a horizontal asymptote.What does the asymtote describe? 
math
Suppose that you are a CSI and you are called to a crime scene at 12:00 noon and find a dead body in a walkin that is a constant 40¨H. The initial temperature is 85¡ã and after 20 minutes. The body¡¯s temperature is 84¡ã. Using … 
math
Newton’s Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. The temperature u of a heated object at a given time t can be modeled by the … 
mathurgent please help
Newton’s Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. The temperature u of a heated object at a given time t can be modeled by the … 
mathurgent
Newton’s Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. The temperature u of a heated object at a given time t can be modeled by the … 
College Algebra
According to Newton's law of cooling, the rate at which an object cools is directly proportional to the difference in temperature between the object and the surrounding medium. The face of a household iron cools from 130° to 100° … 
PreCalculus
A corpse was discovered in a motel room at midnight and uts temperature was 82°F. The temperature dropped to 80.5°F two hours later. Given k is a constant for the object in question, S is the surrounding temperature, t represents … 
Precalc
A corpse was discovered in a motel room at midnight and uts temperature was 82°F. The temperature dropped to 80.5°F two hours later. Given k is a constant for the object in question, S is the surrounding temperature, t represents … 
math check please
Newton’s law of cooling states that for a cooling substance with initial temperature T0 T 0 , the temperature T(t) T ( t ) after t minutes can be modeled by the equation T(t)=Ts+(T0−Ts)e−kt T ( t ) = T s + ( T 0 − T s ) e − …