The Total Numbers of Navy Personnel N (In Thousands) and Marines

question 93

Multiple Choice

The total numbers of Navy personnel N (in thousands) and Marines personnel M (in thousands) from 2000 through 2007 can be approximated by the models $N ( t ) = 0.194 t ^ { 3 } - 7.88 t ^ { 2 } + 15.9 t + 372$ and $M ( t ) = 0.034 t ^ { 3 } - 0.21 t ^ { 2 } + 4.7 t + 171$ where $t$ represents the year, with $t = 0$ corresponding to 2000 . Find and interpret $( N + M ) ( t )$ .

• A) \(( N + M ) ( t ) = 0.228 t ^ { 3 } + 8.09 t ^ { 2 } - 20.6 t - 543\), which represents the total number of Navy and Marines personnel combined.
• B) \(( N + M ) ( t ) = 0.228 t ^ { 3 } + 8.09 t ^ { 2 } + 20.6 t + 543\), which represents the total number of Navy and Marines personnel combined.
• C) \(( N + M ) ( t ) = 0.228 t ^ { 3 } - 8.09 t ^ { 2 } - 20.6 t - 543\), which represents the total number of Navy and Marines personnel combined.
• D) \(( N + M ) ( t ) = 0.228 t ^ { 3 } - 8.09 t ^ { 2 } + 20.6 t + 543\), which represents the total number of Navy and Marines personnel combined.
• E) \(( N + M ) ( t ) = 0.228 t ^ { 2 } - 8.09 t ^ { 3 } - 20.6 t + 543\), which represents the total number of Navy and Marines personnel combined.

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Definitions:

Osmosis

The passive movement of water molecules through a semi-permeable membrane from an area of low solute concentration to an area of high solute concentration.

Simple Diffusion

A process whereby molecules move from an area of higher concentration to one of lower concentration without the need for energy input.

Lipid-Soluble Substances

Compounds that can dissolve in fats and oils, allowing them to easily pass through cell membranes that are composed of lipid bilayers.

Lipid Bilayer

A thin polar membrane made of two layers of lipid molecules found in cell membranes, crucial for maintaining the structure and function of cells.