Write the Word or Phrase That Best Completes Each Statement $$\mathrm { d } = \mathrm { D } \tan \left[ \frac { \pi } { 2 } \left( 1 - \frac { 2 \mathrm { M } } { \mathrm { S } } \right) \right]$$

question 145

Short Answer

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-The ground movement of an earthquake near a fault line is modeled by the equation
$$\mathrm { d } = \mathrm { D } \tan \left[ \frac { \pi } { 2 } \left( 1 - \frac { 2 \mathrm { M } } { \mathrm { S } } \right) \right]$$
where $\mathrm { M }$ is the horizontal movement (in meters) at a distance $\mathrm { d }$ (in kilometers) from the earthquake, $\mathrm { D }$ is the dep in kilometers) below the surface of the center of the earthquake, and $\mathrm { S }$ is the total horizontal displacement (also in meters) at the fault line. What is the horizontal movement 5 kilometers from an earthquake centered 3 kilometers the surface with a total horizontal displacement of 4 meters? Round the answer to the nearest $0.01$ meter.

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Definitions:

Net Operating Income

The total income generated from normal business operations after deducting operating expenses but before taxes and interest.

Price Hike

An increase in the cost of goods or services.

Traceable Fixed Expense

Fixed costs that can be directly linked to a specific business segment or product, and would disappear if the segment or product were discontinued.

Net Operating Income

The income earned from a company's activities once operational costs have been deducted from revenues generated from operations.