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A Spherical Cell Takes in Nutrients Through Its Cell Wall Ar2\frac{A}{r^{2}}

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A spherical cell takes in nutrients through its cell wall at a rate proportional to the area of the cell wall.The rate at which the cell uses nutrients is proportional to its volume.Which of the following expresses the rate at which the cell uses nutrients as a function of its radius, r.(A is a constant.)

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Definitions:

Solution

A homogeneous mixture composed of two or more substances, where the solute is dissolved in the solvent.

Table Salt

A white crystalline substance that gives seawater its characteristic taste and is used for seasoning or preserving food, chemically known as sodium chloride (NaCl).

Water

A clear, flavorless, scentless, and almost colorless substance that is the primary component of the Earth's hydrosphere and the liquids found in every recognized living organism.

Hydrogen Bond

A delicate association between two molecules facilitated by the electrostatic attraction between a proton present in one and an electronegative atom in the other.

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