Solve the Problem $y = 4 ( 50 + t ) - \frac { C } { ( 100 + t ) ^ { 3 } }$

question 31

Multiple Choice

Solve the problem.
-A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing 2 lb/gal of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at
The rate of 3 gal/min. Find the solution to the differential equation that models the mixing process.

• A) \(y = 4 ( 50 + t ) - \frac { C } { ( 100 + t ) ^ { 3 } }\)
• B) \(y = 2 ( 100 + t ) - \frac { 10 ^ { 8 } } { ( 100 + t ) ^ { 3 } }\)
• C) \(y = 4 ( 50 + t ) - \frac { 10 ^ { 8 } } { ( 100 + t ) ^ { 3 } }\)
• D) \(y = 2 ( 100 + t ) - \frac { C } { \left( 100 + t ^ { 3 } \right) }\)

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

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Definitions:

Human Resources Thinking

A perspective that emphasizes the strategic management of people within an organization to achieve competitive advantage.

Open-Systems Perspective

The view that organizations are dynamic entities that interact with their environment to exchange resources and information.

Environmentalists

Individuals or groups who are concerned with the protection of the environment and advocate for practices that minimize harm to ecosystems and human health.

Entropy

A measure of disorder or randomness in a system, often used in physics, information theory, and other fields to describe how structured or disordered a system is.