Answer:
75 square feet
Step-by-step explanation:
The aquarium is designed to hold 62.5cubic feet
Since the aquarium has a square base, assume the aquaruim is a square prism
Let X be the lenght
Let y be the height
x^2.y = 62.5
y = 62.5x^2
The area of each side of the aquarium is xy. Since there are four sides, the total area of the side= 4xy
The area of the bottom of the aquarium = x^2
Total surface area = 4xy + x^2
Put y = 62.5/x^2 into the total surface area equation
A = 4x(62.5/x^2) + x^2
A= 250/x + x^2
Differentiate A with respect to x
dA/dx = -250(x^-2) + 2x
dA/dx = 0
0 = 2x - 250x^-2
2x = 250x^-2
2x =250/ x^2
2x^3 = 250
x^3 = 250/2
x^3 = 125
x = cbrt (125)
x = 5
Put x= 5 into A = x^2 + 250x^-1
A= 5^2 + 250(5^-1)
A= 25 + 250/5
A = 25 + 50
A = 75 square feet
Answer:
$84
Step-by-step explanation:
This is a super simple question. All you have to know is how much money will be charged a month, and how many months there are in a year. Just simply multiply 7 by 12 as the streaming service is charging 7 dollars a month and there are 12 months in a year. After you multiply the two numbers, you should end up with 84 dollars charged after 1 year.
Answer:
35x16=560
Step-by-step explanation:
Instructions
1. Preheat oven to 350 degrees Fahrenheit.
2. In a large bowl, add the beef, bread crumbs, onion, milk, egg, 2 tablespoons ketchup, worcestershire sauce, parsley, salt, garlic powder, and pepper. Use your hands to mush and mix these ingredients together until well combined.*
3. Add the meat mixture to a loaf pan. Pat the meat down into an even layer.
4. In a small bowl, add 1/4 cup ketchup, the brown sugar, and vinegar. Stir to combine. Pour the sauce on top of the meatloaf and spread it into an even layer.
5. Bake uncovered for 55 minutes.
Plug them in:
x + 5y = 18
x - 3y = 10
F. (1,13)
G. (13,1)
H. (-2,4)
J. (-2,-4)
1 + 5*13 = 18 is obliviously not true so that takes out the first option.
13 + 5*1 = 18 : This is true but we have to check the next one.
13 - 3*1 = 10 : This is also true so we know this is the answer. We don't really need to check the other 2 but u can if u want to.
Hope that helped :) <span />