Answer:
The maximum area is therefore is 93750 ft²
Step-by-step explanation:
The given parameter are;
The a]length of fencing available = 1500 ft.
The perimeter of the figure = 9·x + 4·y
Therefore, 9·x + 4·y = 1500 ft.
The area of the figure = 6 × (x × y) = 3·x × 2·y
From the equation for the perimeter, we have;
9·x + 4·y = 1500
y = 1500/4 - 9/4·x = 375 - 9/4·x
y = 375 - 9/4·x
Substituting the value of y in the equation for the area gives;
Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²
Area = 2250·x - 27/2·x²
The maximum area is found by taking the derivative and equating to zero as follows;
d(2250·x - 27/2·x²)/dx = 0
2250 - 27·x = 0
x = 2250/27 = 250/3
x = 250/3
y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5
The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²
The maximum area is therefore = 93750 ft.²
Answer:
j = $1.67
Step-by-step explanation:
total cost minus cost of chips to find cost of juice alone
$36.39 - $2.99 = $33.40
total cost of juice divided by number of bottles (20)
$33.40 ÷ 20 = $1.67
Answer:
Y doesn't vary directly with x
Yes, one
Mark brainliest
Hope this helps you
Well, you just have to take what I said before:
1=ones digit
3=tens digit
8=hundreds digit
2=thousands digit
7=ten thousands digit
6=ten thousands digit
So like previous answers, you just look at the digit after the one being asked
So look at the thousands place. 2,831 or 2,000 since all numbers after that digit is irrelevant
Is 2,000 or 2,831 over the halfway point to 10,000? The halfway point being 5,000
No, it is not so that means 2,831 is closer to 670,000 rather than 680,000
Answer: 672,831 rounded to the nearest ten thousand IS 670,000
