Write the Word or Phrase That Best Completes Each Statement $70 ^ { \circ }$

question 145

Essay

Write the word or phrase that best completes each statement or answers the question.
-The temperature (in degrees Fahrenheit) of a dead body that has been cooling in a room set at $70 ^ { \circ }$ is measured as $88 ^ { \circ }$ . One hour later, the body temperature is $87.5 ^ { \circ }$ . How long (to the nearest hour) before the first measurement was the time of death, assuming that the body temperature of the deceased at the time of death was $98.6 ^ { \circ }$ . Assume the cooling follows Newton's Law of Cooling:
$$\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$$

---

Definitions:

Master Gland

A term commonly used to describe the pituitary gland, due to its primary role in controlling other glands and regulating critical body functions.

Target Glands

Glands that are the direct sites of hormone action or secretion in the endocrine system.

Hormones

Chemical messengers produced by the endocrine glands that regulate various functions within the body.

Endocrine Glands

glands of the endocrine system that secrete their products, hormones, directly into the blood rather than through a duct.