Solve the Problem A) $\mathrm { y } = 92 \mathrm { e } ^ { - 0.0686 \mathrm { x } } , 5.9 \mathrm { mg }$

question 493

Multiple Choice

Solve the problem.
-A nuclear scientist has a sample of 100 mg of a radioactive material which has a half-life in hours. She monitors the amount of radioactive material over a period of a day and obtains the following data. Use a graphing utility
To fit an exponential function to the data. Predict the amount of material remaining at 40 hours. $\begin{array}{l|lcccccc}\text { Hours } & 0 & 5 & 10 & 15 & 20 & 25 & 30 \\\hline \mathrm{mg} & 100 & 68.3 & 45.2 & 31.3 & 21.5 & 14.6 & 9.8\end{array}$

• A) \(\mathrm { y } = 92 \mathrm { e } ^ { - 0.0686 \mathrm { x } } , 5.9 \mathrm { mg }\)
• C) \(\mathrm { y } = 100 \mathrm { e } ^ { - 0.077 \mathrm { x } } , 4.6 \mathrm { mg }\)
• D) \(\mathrm { y } = 100 \mathrm { e } ^ { - 0.077 \mathrm { x } } , 6.7 \mathrm { mg }\)

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Definitions:

Conjuncts

Components of a larger logical structure or statement that are joined together by a conjunction, each of which is necessary for the truth of the whole.

Main Connective

In logic, the operator (such as AND, OR, NOT) that determines the truth value of a complex sentence based on the truth values of its components.

Tautology

A statement or proposition that is true by necessity or by virtue of its logical form, often repeating the same idea in different words.

Main Connective

In a logical formula, the operator that holds the highest precedence, determining the formula's overall truth value.