Type the correct answer in the box. Use numerals instead of words. The height of a baseball, in feet, is represented by this exp
1 answer:
Answer:
31 feet.
Step-by-step explanation:
It is mentioned in the question that
Height of baseball expressed in feet
T = time in seconds
Also
Now the time is 3.5 so put this value to the above equation
h = -16(3.5)^2 + 64(3.5) + 3
= -16(2.25) + 224 + 3
= -196 + 227
= 31
Therefore the height of a baseball is 31 feet and the same is to be considered
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c(p) = 124p/((10 +p)(100 -p))
This can be rewritten as
c(p) = (124/11)*(10/(100 -p) -1/(10 +p))
The average value of this function over the interval [50, 55] is given by the integral
This evaluates to
(-124/55)*(ln(65/60)+10ln(45/50)) ≈ 2.19494
The average cost of removal of 50-55% of pollutants is about
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c(p) = 124p/((10 +p)(100 -p))
This can be rewritten as
c(p) = (124/11)*(10/(100 -p) -1/(10 +p))
The average value of this function over the interval [50, 55] is given by the integral
This evaluates to
(-124/55)*(ln(65/60)+10ln(45/50)) ≈ 2.19494
The average cost of removal of 50-55% of pollutants is about
$2.19 hundred thousand = $219,000