Pre-Calc/Trig

A body was found at 6 a.m. outdoors on a day when the temperature was 50oF. The medical examiner found the temperature of the body to be 66oF. What was the approximate time of death? Use Newton's law of cooling, with k = 0.1947.

A. Midnight (12 a.m.)

B. 5 a.m.

C. 2 a.m.

D. 3 a.m.

  1. 👍
  2. 👎
  3. 👁
  1. T(t) = To + (50-To)e^-.1947t

    I think we can assume that To = 98.6, so

    T(t) = 98.6 - 48.6 e^-.1947t

    So, just solve for t in T(t) = 66.

    That will give the number of hours since death (t=0).

    1. 👍
    2. 👎
  2. okay thanks :)

    1. 👍
    2. 👎
  3. 2 am

    1. 👍
    2. 👎
  4. Midnight actually. Just took the test

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. precalculus

    Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 90 and 70 degrees, respectively. Assuming t is

  2. statistics

    A data set includes body temperatures of healthy adult humans for which x= 98.2 and s=0.64 F. Complete parts a) and b) below a) what is the best point estimate of the mean body temperature of all healthy humans? The best point

  3. Science

    A man relaxes in his hot tub after a long day at work. hid ody temperature is 98.6 F. The temperature of the water in the hot tub is 102 F. How does heat transfer A) Heat does not transfer between his body and the water. B) Heat

  4. math-precalculus

    Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 87 degrees during the day and the average daily temperature first occurs at 8 AM. How many hours after

  1. Precalculus

    Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 62 and 48 degrees, respectively. Assuming t is

  2. Maths

    The body of a murder victim was discovered at 11:00 A.M. and found the temperature of the body was 94.60°F. The temperature of the room was 700°F. One hour later, in the same room, he took the body temperature again and found it

  3. Calc

    A body of an unknown temperature was placed in a room that was held at 30°F. After 10 minutes, the body's temperature was 0°F, and 20 minutes after the body was placed in the room the body's temperature was 15°F. Estimate the

  4. science (URGENT!! CORRECT PLEASE))

    (1) in order for an organism to develop specialized tissues the organism must be which of the following A) A Plant B) An Animal C) Unicellular D) Multicellular ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ My answer: D

  1. algebra

    A body was found at 10 a.m in a warehouse where the temperature was 40 degrees Fahrenheit. The medical examiner found the temperature of the body to be 80 degrees Fahrenheit. What is the approximate time of death? Use Newtons law

  2. chemistry

    (a) A person drinks four glasses of cold water (3.0°C) every day. The volume of each glass is 2.5x10^2 mL. How much heat (in kJ) does the body have to supply to raise the temperature of the water to 37°C, the body temperature?

  3. calculus

    1 pt) Coroners estimate time of death using the rule of thumb that a body cools about 2 degrees F during the first hour after death and about 1 degree F for each additional hour. Assuming an air temperature of 68 degrees F and a

  4. Statistics

    Assume the body temperatures of healthy adults are normally distributed with a mean of 98.20 °F and a standard deviation of 0.62 °F (based on data from the University of Maryland researchers). a. If you have a body temperature

You can view more similar questions or ask a new question.