The 1980s Saw a Trend Toward Old-Fashioned Punitive Deterrence as Opposed

question 130

Essay

The 1980s saw a trend toward old-fashioned punitive deterrence as opposed to the more liberal penal policies and community-based corrections popular in the 1960s and early 1970s. As a result, prisons became more crowded, and the gap between the number of people in prison and the prison capacity widened. The number of prisoners (in thousands) in federal and state prisons is approximated by the function where t is measured in years, with t = 0 corresponding to 1983. The number of inmates for which prisons were designed is given by where C(t) is measured in thousands and t has the same meaning as before. Find an expression that shows the gap between the number of prisoners and the number of inmates for which the prisons were designed at any time t.

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Definitions:

Stage 1 Sleep

The initial phase of the sleep cycle, characterized by light sleep and ease of awakening.

Slow-Wave Sleep

A deep stage of sleep characterized by low-frequency, high-amplitude brain waves, associated with physical and mental restoration.

Melatonin

A hormone produced by the pineal gland that regulates sleep and wakefulness, often referred to as the "sleep hormone."

Circadian Rhythm

The physical, mental, and behavioral changes that follow a 24-hour cycle, primarily responding to light and darkness in an organism's environment.