Answer:
The maximum height is 784 feet
Step-by-step explanation:
In this problem we use the kinematic equation of the height h of an object as a function of time

Where
is the initial velocity and
is the initial height.
We know that

Then the equation of the height is:

For a quadratic function of the form 
where
the maximum height of the function is at its vertex.
The vertice is

In this case

Then the vertice is:

Now we calculate h (6)

The maximum height is 784 feet
Answer:
42
Step-by-step explanation:
g(-5)=-5.-5+17
=25+17
=42
50 divide to find the answer
$3.18 when the tax is applied to each bottle separately or at the end of the bill.
Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.
Step-by-step explanation:
The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that
P is directly proportional to S
Introducing a constant of proportionality, k, it becomes
P = kS
A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that
750 = k × 37
k = 750/37 = 20.27
The expression becomes
P = 20.27S
Therefore, the output for a wind speed of 40 miles per hour would be
P = 20.27 × 40
P = 810.8