Answer:
The inner function is
and the outer function is
.
The derivative of the function is
.
Step-by-step explanation:
A composite function can be written as
, where
and
are basic functions.
For the function
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have
inside parentheses. So
is the inner function and the outer function is
.
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function
is the composition,
, of
outside function: 
inside function: 
The derivative of this is computed as

The derivative of the function is
.
Hello!
Here's how much each person stacked:
Ronnie -- 0.25 of the 40 pizzas.
Mack -- 9/40
Kim -- 35% of the 40 pizzas.
Ada -- rest of the pizzas.
Now, the questions asks for who stacked the most pizzas.
First, find our how many pizzas they stacked out of 40.
40 × 0.25 = 10
40 × 35% = 14
10 + 9 + 14 = 33
40 - 33 = 7
This means that Ronnie stacked 10 pizzas, Mack stacked 9 pizzas, Kim stacked 14 pizzas, and Ada stacked 7 pizzas.
ANSWER:
Kim stacked the most pizzas since she stacked 14 of them.
Answer:
The most appropriate statistical test to use to compare the mood scores from the different groups is independent sample t-test.
Step-by-step explanation:
The Independent Samples t-test examines the means of two independent groups to see if statistical evidence exists to show that the related population means differ significantly.
The Independent Samples t-test is also known as Independent t-test, Independent Two-sample t-test, and among others.
It should be note that only two (and only two) groups can be compared using the Independent Samples t-test. It is not possible to use it to make comparisons between more than two groups.
Therefore, the most appropriate statistical test to use to compare the mood scores from the different groups is independent sample t-test.
Answer:
<C=48 because 90-42=42 as in the other side of the triangle.
<B=42 because vertical angles are always congruent.
<B+<D=90 because <D is 48 because it is vertical to <C
Answer:
x = 12
Step-by-step explanation: