Answer: The speed of the bird when it flies against the wind would be 8 meters per second
Answer:
See below.
Step-by-step explanation:
First, notice that this is a composition of functions. For instance, let's let
and
. Then, the given equation is essentially
. Thus, we can use the chain rule.
Recall the chain rule:
. So, let's find the derivative of each function:

We can use the Power Rule here:
Now:

Again, use the Power Rule and Sum Rule

Now, we can put them together:


Answer:
$2.18
Step-by-step explanation:
since there are 4 quarts in a gallon then there are 2 in a half gallon and therefore if you divide by 2 that would be your price per quart.
Answer: 125 centimeters
1,250 millimeters
Step-by-step explanation:
'centi' means hundred. 100 centimeters go into a meter.
'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.
We have the expression:

And want to evaluate in y=5, this means we have to replace y in the expression for 5 and calculate the value of the expression, so:

The expression is 30 when y=5.