Remember the chain rule.
L(x)=f(g(x))
L'(x)=f'(g(x))g'(x)
take the derivative of f(g(x)). just treat them like they are variables. so you get:
h'=f'(g(x))g'(x)
now plug in your x value and evaluate:
h'(1)=f'(g(1))(g'(1))
substitute in values that you know and evaluate again
h'(1)=f'(3)(-3)
h'(1)=(-5)(-3)=15
Answer:
Milk
Step-by-step explanation:
The amount of milk, cottage cheese and strawberries used are given in the attached picture.
3/4 cup of milk
2/6 cup cottage cheese
8/12 cup strawberry
Converting the fractions to decimal :
3/4 cup of milk = 0.75
2/6 cup cottage cheese = 0.3333
8/12 cup strawberry = 0.66666
0.75 > 0.6666 > 0.3333
We can conclude that amount of milk is greatest, then strawberry and the least is cottage cheese.
Answer:
A. Fun at the water park
Step-by-step explanation:
The definition of opportunity cost is "the loss of potential gain from other alternatives when one alternative is chosen" - oxford dictionary.
Since Hugo is giving up a fun day at the water park, that is what he is missing aka his opportunity cost
We have been given that a 208-yard-long road is divided into 16 parts of equal length.
Let us find length of each part.


Length of each part will be 13 yards.
We are told that Mr. Ward paints a 4-yard-long strip in each part.
Now we will subtract length of painted strip from length of each equal part to find length of unpainted strip of each part of the road.
Therefore, length of each unpainted strip will be 9 yards.