A Radioactive Substance Decays in Such a Way That the Amount

question 32

Short Answer

A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the function $m ( t ) = 13 e ^ { - 0.015 t }$ where $m ( t )$ is measured in kilograms. Round your answers to three decimal places.
a) Find the mass at time $t = 0$ .
b) How much of the mass remains after 50 days?

Apply the exponential model to solve real-world problems related to finance and physical sciences.

Understand the relationship between pH values, hydrogen ion concentrations, and their implications in solution acidity.

Calculate the depreciated value of assets using the exponential decay model.

Compare the intensity and impact of events such as earthquakes based on logarithmic scales.

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Sunburst Chart

A type of visualization that displays hierarchical data as layered rings, each layer representing a level in the hierarchy.

Scatter Chart

A type of graph used in statistics that displays values for typically two variables for a set of data.

Trendline

A graphed line in statistical data visualizations predicting future trends based on past or current data patterns.

Number Format

A system or standard for expressing numbers, often within software or mathematical contexts, to specify their appearance or structure, such as decimal or hexadecimal.