Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches. The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.
Answer:
i feel like it could be 43 or 37 since they're the only prime numbers but...
ok... 37 final answer
since there is also 30
Step-by-step explanation:
Answer:
4x + 5
Step-by-step explanation:
I hope its right!
Answer:
After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.
Step-by-step explanation:
The average blood alcohol concentration (bac) is modeled by the following function.
![c(t) = 0.0225te^{-0.0467t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%200.0225te%5E%7B-0.0467t%7D)
In which t is measured in minuted.
How rapidly was the BAC increasing after 5 minutes?
This is c'(t) when t = 5.
Using the derivative of the product.
Derivative of the product:
![c(t) = f(t)*g(t)](https://tex.z-dn.net/?f=c%28t%29%20%3D%20f%28t%29%2Ag%28t%29)
![c'(t) = f'(t)*g(t) + f(t)*g'(t)](https://tex.z-dn.net/?f=c%27%28t%29%20%3D%20f%27%28t%29%2Ag%28t%29%20%2B%20f%28t%29%2Ag%27%28t%29)
In which problem:
![f(t) = 0.0225t](https://tex.z-dn.net/?f=f%28t%29%20%3D%200.0225t)
![g(t) = e^{-0.0467t}](https://tex.z-dn.net/?f=g%28t%29%20%3D%20e%5E%7B-0.0467t%7D)
So
![c'(t) = 0.0225e^{-0.0467t} - 0.0225*0.0467*te^{-0.0467t}](https://tex.z-dn.net/?f=c%27%28t%29%20%3D%200.0225e%5E%7B-0.0467t%7D%20-%200.0225%2A0.0467%2Ate%5E%7B-0.0467t%7D)
![c'(5) = 0.0225e^{-0.0467*5} - 0.0225*0.0467*5e^{-0.0467*5} = 0.0137](https://tex.z-dn.net/?f=c%27%285%29%20%3D%200.0225e%5E%7B-0.0467%2A5%7D%20-%200.0225%2A0.0467%2A5e%5E%7B-0.0467%2A5%7D%20%3D%200.0137)
After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.