Answer:
arrow 4
Step-by-step explanation:
The amount of energy needed in the transformation from liquid to gas is equal to the gas to liquid transition.
Boiling is the mechanism by which a substance passes from the liquid phase to the gaseous form.
Like water diagram in phase:
Evaporisation is a method of phase shift in which the water transitions from a liquid to a gas (water vapour).
Condensation is the process of phase shift in which water transitions from a gas to a liquid, and the vapour becomes a cloud.
Answer:
<u>ALTERNATIVE 1</u>
a. Find the profit function in terms of x.
P(x) = R(x) - C(x)
P(x) = (-60x² + 275x) - (50000 + 30x)
P(x) = -60x² + 245x - 50000
b. Find the marginal cost as a function of x.
C(x) = 50000 + 30x
C'(x) = 0 + 30 = 30
c. Find the revenue function in terms of x.
R(x) = x · p
R(x) = x · (275 - 60x)
R(x) = -60x² + 275x
d. Find the marginal revenue function in terms of x.
R'(x) = (-60 · 2x) + 275
R'(x) = -120x + 275
The answers do not make a lot of sense, specially the profit and marginal revenue functions. I believe that the question was not copied correctly and the price function should be p = 275 - x/60
<u>ALTERNATIVE 2</u>
a. Find the profit function in terms of x.
P(x) = R(x) - C(x)
P(x) = (-x²/60 + 275x) - (50000 + 30x)
P(x) = -x²/60 + 245x - 50000
b. Find the marginal cost as a function of x.
C(x) = 50000 + 30x
C'(x) = 0 + 30 = 30
c. Find the revenue function in terms of x.
R(x) = x · p
R(x) = x · (275 - x/60)
R(x) = -x²/60 + 275x
d. Find the marginal revenue function in terms of x.
R(x) = -x²/60 + 275x
R'(x) = -x/30 + 275
Answer: (x,y)=(-22/69 , 2/23)
Y=6x+2
3x+12y=6x+2
Simplify the expression
-6x+y=2
-3x+12y=2
Multiply both sides of the equation by
-6x+y=2
6x-24y=-4
eliminate at least one variable by adding the equation
-23y=-2
Divide both sides
y=2/23
Substitute the value of y
-6x +2/23 =2
Solve the equation
x=-22/69
The possible solution of the system is the ordered pair
(x,y)=(-22/69, 2/23)
Check the solution
2/23=3x(-22/69)+12x 2/23=6x(-22/69)+2
Simplify
2/23=2/23=2/23
The ordered pair is a solution
Solution
(x,y)=(-22/69 , 2/23)
