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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 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.
Chromo-
A prefix relating to color or pigmentation, commonly used in terms related to biology and chemistry.
Ecto-
A prefix meaning outside or external, used in various medical and scientific terms, referring to an outer layer or external part of a structure.
Equilibrium
A state of balance or stability within a system, where competing influences or forces are in equal proportion.
Left Hypochondriac Region
An anatomical region of the abdomen situated to the left side beneath the rib cage, often associated with the spleen and part of the stomach.
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