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A Rectangular Box with an Open Top Has a Length

question 126

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A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. It costs $1.80 per square foot to build the base and $0.45 per square foot to build the sides. Write the cost C of constructing the box as a function of x, y, and z.


Definitions:

Circumplex Model

A model describing human emotions as existing in a two-dimensional space, with levels of arousal and valence defining the axes.

Valence

The intrinsic attractiveness or averseness of an event, object, or situation.

Arousal

A physiological and psychological state of being awake or reactive to stimuli, involving the activation of certain physiological pathways and cognitive processes.

Two-factor Theory

A psychological theory suggesting emotions are based on physiological arousal and cognitive labels.

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