Answer:
The answer is 10x - 10y - 9
Step-by-step explanation:
14 - 3 - 20 = -9
2y - 12y = -10y
7x + 3x = 10x
14 + 2y - 3 + 7x - 12y + 3x - 20 = 10x - 10y - 9
Answer: The required solution is 
Step-by-step explanation:
We are given to solve the following differential equation :

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.
From equation (i), we have

Integrating both sides, we get
![\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]](https://tex.z-dn.net/?f=%5Cint%5Cdfrac%7Bdy%7D%7By%7D%3D%5Cint%20kdt%5C%5C%5C%5C%5CRightarrow%20%5Clog%20y%3Dkt%2Bc~~~~~~%5B%5Ctextup%7Bc%20is%20a%20constant%20of%20integration%7D%5D%5C%5C%5C%5C%5CRightarrow%20y%3De%5E%7Bkt%2Bc%7D%5C%5C%5C%5C%5CRightarrow%20y%3Dae%5E%7Bkt%7D~~~~%5B%5Ctextup%7Bwhere%20%7Da%3De%5Ec%5Ctextup%7B%20is%20another%20constant%7D%5D)
Also, the conditions are

and

Thus, the required solution is 
I think it’s a loyalty marking program. I think it’s that because I feel like it’s the only answer that really makes sense bc the customer is being loyal to the service in order to receive their “reward”
In short, let x be the height of the Light House
2.5/36 = 1.5/X
===> X= (36 x 1.5)/2.5 = 21.6 meters
Answer:
p(-10) = 31
Step-by-step explanation:
Plug in -10 as x into the equation, and solve
p(x) = x + 41
p(-10) = -10 + 41
p(-10) = 31