Answer:
-20.1 degrees Celsius
Step-by-step explanation:
The system started at -12.6 Celsius. It then cooled 7.5 degrees during a reaction. Because it cooled, that means the difference is negative.
-12.6 degrees Celsius - 7.5 degrees Celsius = -20.1 degrees Celsius
It is important to always remember your correct names and variables for numbers in chemistry!
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
19.95 + 3.98x = 63.73
3.98x = 63.73 - 19.95
3.98x = 43.78
x = 43.78/3.98
x = 11
Answer:
example 4:2
Step-by-step explanation:
A proportion shows how many parts of one side equals the other. For every four times i kick a soccer ball, I make it in twice. For every 8 times, I make it in 4.
