The airplane reaches its maximum height of 81 feet in 12 seconds.
<h3>Behavior of curves</h3>
If y = 
, it means that the second derivate is 2 which is positive, then there is a minimum turning point.
If y = - , it means that the second derivative will be -2 which is negative, then there is a maximum turning point.
Analysis:
h(t) = -
+ 81
By expanding,
h(t) = -(
- 24t + 144) +81
h(t) = - + 24t - 144 + 81
h(t) = - + 24t - 63
at turning point d/dt(h(t)) = 0
d/dt (h(t)) = -2t +24
-2t +24 = 0
if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.
2t = 24
t = 12 seconds
h(t) at t = 12
h(t) = 
+ 24(12) - 63 = 81 feet
In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.
Learn more about minimum and maximum points: brainly.com/question/14993153
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Ok so add all of them together and you get 305 then divide it by how many numbers there are for the mean and you get 61 then add all of the diffrences from each number to the mean and we get 6 then 61 divided by 6 gets us 10.1 but round it to 10. hope this helped.
Answer: Method of finding the sum of 46 and 7 is mentioned in below explanation.
Step-by-step explanation:
According to the question, we have to find out 46+7
First, we need to add 6 and 7 by that we get the result 13.
Where, 3 will be the digit in once place of our answer.
And, we need to add 1 in 4, that is 5 by that we get the tenth place digit of our result. which is 5.
So, our complete answer is 53.
Answer: option A, 3x + 5
first, i rewrote it and removed the parentheses.
2x - 4 + x + 9
then, i collected the like terms.
3x + 5
to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm
