The volume for the largest box will be 1.056 foot³. This can find out by application of differentiation.
What is AOD?
AOD is nothing but application of differentiation. It implies scopes where we can use differentiation to make our calculations easy.
Here, given
Length and breadth = 2,3 foot
Let us consider length of side of square = x
So, after cutting squares left sides of rectangular sheet = 2-2x , 3-2x
So, volume = (2-2x)*(3-2x)*x
v = 4x³ - 10x² + 6x
To find largest volume , 
= 0
= 12x² - 20x + 6
12x² - 20x + 6 = 0
x = 0.4 , 1.3
But, for 1.3 volume will be negative i.e. not possible.
So, volume = 2.2*1.2*0.4
= 1.056 foot³
Learn more about differentiation from given link:
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Answer:
The speed of an object is the rate of distance traveled over time. Suzette ran for 1.5 hours, and she biked for 2 hours.
Given that: Speed is calculated as: Make Distance the subject Average running speed = 6 mph for x hours implies that: Average biking speed = 12.5 mph for y hours implies that: So, the total distance is: The total distance is 34 miles. So, we have: The total time is 3.5h. So, we have: Make x the subject Substitute in Collect like terms Divide both sides by 6.5 Recall that: Hence, Suzette ran for 1.5 hours, and she biked for 2 hours.'
x=3.5-y
x-3.5-2
x=1.5
Answer:
4 1/12 is your answer
Find a common denominator, 12. Multiply the many times you did to the denominator to get 12 to the numerator so 3/4 would be 9/12 and 2/3 would be 8/12 so 9/12 - 8/12 is 1/12 and as you know already 10 - 6 = 4 so 4 1/12 would be your answer.
Answer:
$4.5
Step-by-step explanation:
Let the amount of money
Maria had = x
Nick had = y
All together Maria and Nick had $12.
= x + y = 12
x = 12 - y
After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.
30% of x = 50% of y
30/100 × x = 50/100 × y
0.3x = 0.5y
We substitute 12 - y for x above
0.3(12 - y) = 0.5y
3.6 - 0.3y = 0.5y
3.6 = 0.5y + 0.3y
3.6 = 0.8y
y = 3.6/0.8
y = $4.5
Therefore, in the beginning, Nick originally had $4.5
8
note that 
simplifies to 3, hence expression can be written as
5 + 3 = 8
