Answer: C=250+4s
The reason is because the cost is equal to $250, which is the bus trip, plus $4 additional dollars for each student, s.
Answer:
f = xy²-2x² satisfies that F = ∇f.
Step-by-step explanation:
F(x,y) = (y² - 4x) i + 2xy j
We want f(x,y) such that
Lets find a primitive of y²-4x respect to the variable x. We need to think y (and y²) as constants here, so a primitive of y² would be xy² the same way that a primitive of k is xk (because we treat y² as constant). A primitive of x is x²/2, thus a primitive of 4x is 2x². Thus, a primitive of y²-4x is xy² - 2x². We can obtain any other primitive by summing a constant, however since we treated y as constant, then we have that
where c(y) only depends on y (thus, it is constant repsect with x).
We will derivate the expression in terms of y to obtain information about c(y)
Thus, is constant. We can take f(x,y) = xy²-2x². This function f satisfies that F = ∇f.
Substituting our values into the formula we get
Answer:
D. He should add between 2 cups and 3 cups of dirt.
Step-by-step explanation:
First we need to take the ratio of dirt to peat moss.
8 parts dirt : 3 parts peat moss.
Now we take the ratio and find the value of dirt.
8 : 3 =
x : 1 =
We now multiply both sides by 1.
So now we substitute x.
2.67 Cups Dirt : 1 Cup Peat Moss
Cosx=sqrt3/2 and tanx=sqrt3/3