20% of the shoes in a factor are black. One shoe is chosen and replaced. A second shoe is chosen and replaced. Then a third shoe
1 answer:
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Answer:
Step-by-step explanation:
We want an exponential function that goes through the two points (0, 8) and (2, 200).
Since a point is (0, 8), this means that y = 8 when x = 0. Therefore:
Simplify:
So we now have:
Likewise, the point (2, 200) tells us that y = 200 when x = 2. Therefore:
Solve for b. Dividing both sides by 8 yields:
Thus:
Hence, our exponential function is:
Answer:
The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time
Step-by-step explanation:
we have
This is a vertical parabola open downward
The vertex represent a maximum
where
h is the height of the bird
t is the amount of time, in seconds, the bird had been in the air
For h=40 ft
substitute in the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time