<span>Ruling Out Third Variables with Multiple-Regression Designs—By measuring possible third variables and using multiple regression analysis, these third variables can be eliminated as explanations for the relationship between the key variables.</span>
10 = ax-3b
3b+10 = ax
(3b+10)/a = (ax)/a
x = (3b+10)/a
Porsha` s expression:
5,000 ( 1 + 0.0375 ) ^24
A = P * ( 1 + i ) ^n
n = 6 * 4 = 24
i = 0.0375 : 4 = 0.009375
Porsha`s expression is wrong. True expression is:
5,000 * ( 1 + 0.009375 ) ^24
Answer: B ) Porsha`s expression should have 1 + 0.009375 in the parentheses.
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.
Answer:
The perimeter of it is going to be 50
Step-by-step explanation:
This is because when finding the perimeter you add up all the sides so
14 + 12 + 18 + 6 = 50