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Audrey Uses a Slingshot to Shoot a Marble from a Window

question 21

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Audrey uses a slingshot to shoot a marble from a window. The height of the marble h(t) in feet at time t seconds is given by the function h(t) = -16t2 - 54t + 306. How many seconds elapse before the marble hits the ground?


Definitions:

Shocks the Conscience

A legal standard for determining whether a legal or governmental decision is so unjust or egregious that it violates fundamental fairness.

Court

A governmental institution authorized to resolve legal disputes between parties and administer justice in civil, criminal, and administrative matters.

Regulatory Statute

A regulatory statute is a law enacted to prescribe or prohibit certain behaviors, often intended to protect the public welfare, health, safety, or the environment.

Revenue-Raising

This term refers to actions or strategies employed by governments or organizations to increase income, typically through taxation, fees, or sales.

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