Write the Word or Phrase That Best Completes Each Statement $\mathrm { A } ( \mathrm { t } ) = \mathrm { A } _ { 0 } \mathrm { e } ^ { \mathrm { kt } } , \mathrm { A }$

question 81

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
-In the formula $\mathrm { A } ( \mathrm { t } ) = \mathrm { A } _ { 0 } \mathrm { e } ^ { \mathrm { kt } } , \mathrm { A }$ is the amount of radioactive material remaining from an initial amount $\mathrm { A } _ { 0 }$ at a given time $t$ , and $\mathrm { k }$ is a negative constant determined by the nature of the material A certain radioactive isotope decays at a rate of $0.225 \%$ annually. Determine half-life of this isotope, to the nearest year.

• A) \(308 \mathrm { yr }\)
• B) \(134 \mathrm { yr }\)
• C) \(222 \mathrm { yr }\)
• D) \(3 \mathrm { yr }\)

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Definitions:

Range

In a general context, it refers to the extent or scope of something, such as variation between upper and lower limits on a particular scale.

Statistically Significant

A determination that a relationship between two or more variables is caused by something other than chance, based on statistical analysis.

Standard Deviations

A measure of the amount of variation or dispersion in a set of values, indicating how much the values differ from the mean of the set.

Central Tendency

A statistical measure that identifies a central or typical value for a set of data, commonly represented by the mean, median, or mode.