A Thin Strip of Nutrients 20 Cm Long Is Placed $\frac{75}{D+4}$

question 5

Multiple Choice

A thin strip of nutrients 20 cm long is placed in a circular petri dish of radius 10 cm, as shown.The population density of bacteria in the disk after 3 hours is given by $\frac{75}{D+4}$ bacteria/cm² where D is the distance (in cm) to the nutrient strip.Which of the following integrals gives the number of bacteria in the petri dish 3 hours after the nutrient strip has been introduced?

• A) \(150 \pi \int_{0}^{20} \frac{100-D^{2}}{D+4} d D\)
• B) \(75 \pi \int_{0}^{3} \frac{\sqrt{100-D^{2}}}{D+4} d D\)
• C) \(300 \int_{0}^{10} \frac{\sqrt{100-D^{2}}}{D+4} d D\)
• D) \(75 \int_{0}^{20} \frac{\sqrt{100-D^{2}}}{D+4} d D\)

Explain the significance of valence electrons in chemical bonding and reactions.

Understand the concept and importance of isotopes in the natural world.

Distinguish between the atomic number, mass number, and atomic mass of elements.

Grasp the role of common elements in biological organisms.

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Definitions:

Insulin Receptors

Proteins on the surface of cells that bind insulin, triggering the cell to absorb glucose from the bloodstream.

Energy Source

Any substance or system that provides power to operate or perform work, typically through chemical, electrical, or mechanical means.

Pancreatic Polypeptide

A hormone produced by the pancreas that aids in the regulation of pancreatic secretion activities and the control of food intake.

Somatostatin

A hormone that inhibits the secretion of several other hormones, including growth hormone and insulin.