Answer:
It is 0.4524 rounded simply you can say 0.45
Step-by-step explanation:
if you multiply 2/7 by 6 which is 12/42 and 1/6 times 7 which is 7/42 and add both fractions you will get 19/42 which is 0.45 you can either say the answer is 0.45 or 19/42.
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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Answer:
im probably wrong but i think it's C
<span>Opportunity cost is the value of the next best alternative when you make a decision; it's what you give up. Understanding opportunity cost allows you to make decisions, knowing both what you are getting and what you are giving up. in the above case of lending of $500.00 to your brothers is What you want most costing $500.</span>
Answer:
B
Step-by-step explanation:
![\sqrt[4]{2x^2} *\sqrt[4]{2x^3} =(2x^2)^{1/4}*(2x^3)^{1/4}\\= 2^{1/4}*(x^2)^{1/4} *2^{1/4} * (x^3)^{1/4}\\](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2x%5E2%7D%20%2A%5Csqrt%5B4%5D%7B2x%5E3%7D%20%3D%282x%5E2%29%5E%7B1%2F4%7D%2A%282x%5E3%29%5E%7B1%2F4%7D%5C%5C%3D%202%5E%7B1%2F4%7D%2A%28x%5E2%29%5E%7B1%2F4%7D%20%2A2%5E%7B1%2F4%7D%20%2A%20%28x%5E3%29%5E%7B1%2F4%7D%5C%5C)
combine like terms
these steps use exponent laws
a few key ones i used:
(x^y^z) = x^(y*z)
x^y * x^z = x^(y+z)
let me know if you have any questions!
