Solve the Problem $\mathrm { T } ( \mathrm { x } ) = 41 \sin \left[ \frac { 2 \pi } { 365 } ( \mathrm { x } - 102 ) \right] + 44$

question 80

Multiple Choice

Solve the problem.
-The temperature in Verlander is modeled by $\mathrm { T } ( \mathrm { x } ) = 41 \sin \left[ \frac { 2 \pi } { 365 } ( \mathrm { x } - 102 ) \right] + 44$ where $\mathrm { T } ( \mathrm { x } )$ is the temperature in degrees Fahrenheit on day $x$ , with $x = 1$ representing January 1 and $x = 365$ representing December 31 . Find the temperature on July 7 .

• A) \(105 ^ { \circ } \mathrm { F }\)
• B) \(85 ^ { \circ } \mathrm { F }\)
• C) \(78 ^ { \circ } \mathrm { F }\)
• D) \(3 ^ { \circ } \mathrm { F }\)

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Definitions:

Adaptive Quality

Traits or behaviors that enhance an organism's ability to survive and reproduce in its environment.

Fight-or-flight Response

An automatic physiological reaction to an event that is perceived as stressful or frightening, preparing the body to either fight or flee from the threat.

Fight-or-flight Response

A physiological reaction that occurs in response to a perceived harmful event, attack, or threat to survival, mobilizing the body for quick action.

Involuntary Reaction

A reflex or response to a stimulus that is automatic and not under the conscious control of an individual.