Find the Specified Nth Term in the Expansion of the Binomial.(Write

question 31

Multiple Choice

Find the specified nth term in the expansion of the binomial.(Write the expansion in descending powers of x. ) $( x - 4 y ) ^ { 12 } , n = 3$

• A) \(1,056 x ^ { 9 } y ^ { 2 }\)
• B) \(1,320 x ^ { 10 } y ^ { 2 }\)
• C) \(1,056 x ^ { 10 } y ^ { 2 }\)
• D) \(1,056 y ^ { 2 }\)
• E) \(220 x ^ { 1 } y ^ { 2 }\)

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Definitions:

Juvenile Hormone (JH)

A hormone in insects that regulates development, reproduction, and other physiological functions, often influencing the transition from juvenile to adult stages.

Circadian Rhythms

Biological processes that display an endogenous, entrainable oscillation of about 24 hours, governing the sleep-wake cycle among other bodily functions.

Daily Environmental Cues

External signals like light and temperature that influence an organism's daily behaviors and physiological processes.

Activity Period

Activity period refers to the specific time during which an organism is active and engages in various behaviors such as feeding or mating.