Simplify the Rational Expression $$c = 64 ( n + 4 ) ^ { 1 / 2 }$$

question 375

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
-The cost of manufacturing clocks is given by c $$c = 64 ( n + 4 ) ^ { 1 / 2 }$$ , where c is the cost in dollars and n is the number produced. What is the cost when no clocks are produced?

• A) $64
• B) $16
• C) $256
• D) $128

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Definitions:

Liberal Democracy

A political system characterized by free and fair elections, rule of law, and the protection of individual rights and freedoms.

Ruling Class

The social class that holds the dominant power in a societal hierarchy, often controlling resources and making key decisions.

Autocracy

Absolute power resides in the hands of a single person or party.

Pluralist Theory

Refers to a theory in political science and sociology which suggests that power in a society is distributed among multiple groups and that this multiplicity ensures that no single group achieves dominance.