Answer:
D
Step-by-step explanation:
Answer:
The answer would be 4
Step-by-step explanation:
If you change the 2 on the left fraction to a 4 then you would have to change the 1 into a 2 thus allowing you to just add 2/4+3/4
Answer:
![P=M(1-e^{-kt})](https://tex.z-dn.net/?f=P%3DM%281-e%5E%7B-kt%7D%29)
Step-by-step explanation:
The relation between the variables is given by
![\frac{dP}{dt} = k(M- P)](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdt%7D%20%3D%20k%28M-%20P%29)
This is a separable differential equation. Rearranging terms:
![\frac{dP}{(M- P)} = kdt](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7B%28M-%20P%29%7D%20%3D%20kdt)
Multiplying by -1
![\frac{dP}{(P- M)} = -kdt](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7B%28P-%20M%29%7D%20%3D%20-kdt)
Integrating
![ln(P-M)=-kt+D](https://tex.z-dn.net/?f=ln%28P-M%29%3D-kt%2BD)
Where D is a constant. Applying expoentials
![P-M=e^{-kt+D}=Ce^{-kt}](https://tex.z-dn.net/?f=P-M%3De%5E%7B-kt%2BD%7D%3DCe%5E%7B-kt%7D)
Where
, another constant
Solving for P
![P=M+Ce^{-kt}](https://tex.z-dn.net/?f=P%3DM%2BCe%5E%7B-kt%7D)
With the initial condition P=0 when t=0
![0=M+Ce^{-k(0)}](https://tex.z-dn.net/?f=0%3DM%2BCe%5E%7B-k%280%29%7D)
We get C=-M. The final expression for P is
![P=M-Me^{-kt}](https://tex.z-dn.net/?f=P%3DM-Me%5E%7B-kt%7D)
![P=M(1-e^{-kt})](https://tex.z-dn.net/?f=P%3DM%281-e%5E%7B-kt%7D%29)
Keywords: performance , learning , skill , training , differential equation
Answer:
STEP 1
Equation at the end of step 1
(((x3) - 22x2) - 11x) + 30
STEP 2
Checking for a perfect cube
2.1 x3-4x2-11x+30 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-4x2-11x+30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+30
Group 2: x3-4x2
Pull out from each group separately :
Group 1: (-11x+30) • (1) = (11x-30) • (-1)
Group 2: (x-4) • (x2)
Linear mathematical models describe real world applications with the use lines. For instance, a car going 50 mph, has traveled a distance represented by y=50x, where x is time in hours and y is miles. The equation and graph can be used to make predictions.