Find the Specified Nth Term in the Expansion of the Binomial

question 300

Multiple Choice

Find the specified nth term in the expansion of the binomial. $( 5 x - 3 y ) ^ { 12 } , n = 10$

• A) \(- 541,282,500 y x\)
• B) \(- 541,282,500 y ^ { 3 } x ^ { 3 }\)
• C) \(- 541,282,500 y ^ { 9 } x ^ { 3 }\)
• D) \(- 541,282,500 y ^ { 9 } x ^ { 9 }\)
• E) \(- 541,282,500 y ^ { 3 } x ^ { 9 }\)

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Definitions:

Anticholinergic

Refers to substances or drugs that block the action of acetylcholine in the central and the peripheral nervous system, often used to treat a variety of conditions including gastrointestinal disorders and Parkinson's symptoms.

Neurotransmitter

A biochemical substance that transmits nerve impulses across a synapse.

Acetylcholine

A neurotransmitter involved in many functions including memory and muscle contraction.

Amygdala

A component of the brain's limbic system involved in emotion regulation, emotional memory, and reactions to fear and pleasure.