Given that a rectangle has a length of 5/2x + 10 with a width of 5/2x + 5, formulate an expression to represents the area of the
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Answer:
0.24
Step-by-step explanation:
From the information given:
Let's have a schematic view of a tree diagram
A
P(Santa Cruz) P(Isabella)
= 13/15 = 2/15
P(Success | Santa Cruz) = 0.09 P(Success | Isabella) = x
We are told that many have tried to locate the giant turtle, but 89% of them have failed.
This means the probability of success is:
P(success) = 1 - 0.89 = 0.11
We need to find P(Success | Isabella),
Suppose P(Success | Isabella) be x as shown above,
Then:
P (Success) = P(Santa) P((Success | Santa Cruz) + P(Isabella) P(Success | Isabella)
make x the subject of the formula:
x = 0.032/0.133
x = 0.24
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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