Examlex
Which of the following statements about australopithecines is true?
Half-Life
The time required for a quantity to reduce to half its initial value, often used in the context of radioactive decay.
\(24\left(\frac{1}{2}\right)^{\frac{t}{30}}\)
An exponential function representing the decay or growth of a quantity, where 24 is the initial value, \(\frac{1}{2}\) is the base of the exponent signifying decay, and \(\frac{t}{30}\) is the exponent indicating time or another variable at which the decay occurs.
U.S. Census Bureau
The federal agency responsible for collecting and analyzing data about the American people and economy.
\(203.0(1.0107)^t\)
This expression models exponential growth or decay, depending on the context, where 203.0 is the initial quantity, 1.0107 represents the growth (or decay) rate, and \(t\) is the time variable.
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