A math professor was murdered and the body was discovered in her office by a student in the morning. The coroner was called in to determine the time of death. In order to estimate the time of death, the coroner measured the body's temperature twice: At 10:00 am, the temperature was 82.2 degrees; and at 10:30 am, the temperature was 80.4 degrees. In addition, the temperature of the room was 73 degrees. From these measurements, the coroner was able to determine that the elapsed time since death and body temperature were related by Newton's Law of Cooling: T- 73 t = 2.21 In %3D 98.6 73 - where t is the time (in hours) that have passed since the professor died and T is the current temperature of the body in degrees Fahrenheit. a) According to the coroner's formula, if the current time is 10:30 am, how many hours have passed since the professor died? hours {give at least 2 decimal places} b) The student reported to the police that they found the body at 7:30 am. Subsequently: O The police are investigating the student as a suspect in the murder because they claim to have found the body before the actual time of death. O This data does not indicate anything about the student or the professor. O Nothing can be determined at this time. O The police have determined that the student is not a suspect in the murder. O The police have taken the student's report and let them go on their way.
A math professor was murdered and the body was discovered in her office by a student in the morning. The coroner was called in to determine the time of death. In order to estimate the time of death, the coroner measured the body's temperature twice: At 10:00 am, the temperature was 82.2 degrees; and at 10:30 am, the temperature was 80.4 degrees. In addition, the temperature of the room was 73 degrees. From these measurements, the coroner was able to determine that the elapsed time since death and body temperature were related by Newton's Law of Cooling: T- 73 t = 2.21 In %3D 98.6 73 - where t is the time (in hours) that have passed since the professor died and T is the current temperature of the body in degrees Fahrenheit. a) According to the coroner's formula, if the current time is 10:30 am, how many hours have passed since the professor died? hours {give at least 2 decimal places} b) The student reported to the police that they found the body at 7:30 am. Subsequently: O The police are investigating the student as a suspect in the murder because they claim to have found the body before the actual time of death. O This data does not indicate anything about the student or the professor. O Nothing can be determined at this time. O The police have determined that the student is not a suspect in the murder. O The police have taken the student's report and let them go on their way.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 13CT: An earthquake measuring 6.4 on the Richter scale struck Japan in July 2007, causing extensive...
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Transcribed Image Text:A math professor was murdered and the body was discovered in her office by a student in the morning. The
coroner was called in to determine the time of death. In order to estimate the time of death, the coroner
measured the body's temperature twice: At 10:00 am, the temperature was 82.2 degrees; and at 10:30 am,
the temperature was 80.4 degrees. In addition, the temperature of the room was 73 degrees. From these
measurements, the coroner was able to determine that the elapsed time since death and body
temperature were related by Newton's Law of Cooling:
T- 73
98.6 73
t = -
2.21 In
where t is the time (in hours) that have passed since the professor died and Tis the current temperature
of the body in degrees Fahrenheit.
a) According to the coroner's formula, if the current time is 10:30 am, how many hours have passed since
the professor died?
hours {give at least 2 decimal places}
b) The student reported to the police that they found the body at 7:30 am. Subsequently:
O The police are investigating the student as a suspect in the murder because they claim to have found
the body before the actual time of death.
O This data does not indicate anything about the student or the professor.
O Nothing can be determined at this time.
O The police have determined that the student is not a suspect in the murder.
O The police have taken the student's report and let them go on their way.
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