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VikaD [51]
3 years ago
7

How do you solve this?

Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

no clue sorry

Step-by-step explanation:

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90 miles on 5 gallons of gas?
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18 miles per gallon

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Step-by-step explanation:

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A rectangular package sent by a postal service can have a maximum combined length and girth (perimeter of a cross sectio) of 108
Morgarella [4.7K]

Answer:

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

Step-by-step explanation:

This is a optimization with restrictions problem.

The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).

This restriction can be expressed as:

4x+L=108

being x: the side of the square of the cross section and L: length of the package.

The volume, that we want to maximize, is:

V=x^2L

If we express L in function of x using the restriction equation, we get:

4x+L=108\\\\L=108-4x

We replace L in the volume formula and we get

V=x^2L=x^2*(108-4x)=-4x^3+108x^2

To maximize the volume we derive and equal to 0

\dfrac{dV}{dx}=-4*3x^2+108*2x=0\\\\\\-12x^2+216x=0\\\\-12x+216=0\\\\12x=216\\\\x=216/12=18

We can replace x to calculate L:

L=108-4x=108-4*18=108-72=36

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

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3 years ago
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Can you find the rate of change for the following function: -6x + 3y =9?​
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Answer:

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval:  

f ( x ) =  x ^2 ,  [ 2 , 3 ]

The rate of Change is 2

Step-by-step explanation:

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Another Quick Question, True or false: The Intersection of two rays creates two pairs of vertical angles and four pairs of suppl
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Answer:

True

Step-by-step explanation:

3 0
3 years ago
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