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Y = Ln (2x^3 + 3x)
then deriving
dy/dx= (1/(2x^3 + 3x))*(6x^2 + 3)
Using proportions, it is found that her discount is of $0.29664.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, the total amount she spent on gas is given by:
T = $45.23 + $102.34 + $13.67 + $34.56 + $48.72 + $52.12 = $296.64.
Considering that she receives ten cents off per gallon on gas for every $100 she spends, we apply the <em>proportion </em>to find that her discount is given by:

Her discount is of $0.29664.
More can be learned about proportions at brainly.com/question/24372153
Alright, so to simplify we would take the largest number that would go into both 16 and 32 and divide both numbers by that. Do you know what that would be?
Answer:
38.63Step-by-step explanation:
Area x height