What is the discriminant of 9x2 + 2 = 10x? –356 –172 28 72
2 answers:
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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:
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:
If we express L in function of x using the restriction equation, we get:
We replace L in the volume formula and we get
To maximize the volume we derive and equal to 0
We can replace x to calculate L:
The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.
Answer:
It takes 0.145 hours
Step-by-step explanation:
Given:
Distance = 8 miles
Speed = 55 miles per hour
To Find:
Time taken = ?
Solution:
The time taken for an object to travel a particular distance with a average speed can be found by
Now Substituting the given values , we get
Time taken will be 0.145 hours