Answer:
1.4
Step-by-step explanation:
7/5 =  1.4
 
        
             
        
        
        
Answer:

Step-by-step explanation:

Applying the Laplace transform: 
![\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5By%27%27%5D%2B5%5Cmathcal%7BL%7D%5By%27%5D%2B4%5Cmathcal%7BL%7D%5By%27%5D%3D0)
With the formulas:
![\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5By%27%27%5D%3Ds%5E2%5Cmathcal%7BL%7D%5By%5D-y%280%29s-y%27%280%29)
![\mathcal{L}[y']=s\mathcal{L}[y]-y(0)](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5By%27%5D%3Ds%5Cmathcal%7BL%7D%5By%5D-y%280%29)
![\mathcal{L}[x]=L](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5Bx%5D%3DL)

Solving for 




Apply the inverse Laplace transform with this formula:
![\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5E%7B-1%7D%5B%5Cfrac1%7Bs-a%7D%5D%3De%5E%7Bat%7D)
![y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}](https://tex.z-dn.net/?f=y%3D3%5Cmathcal%7BL%7D%5E%7B-1%7D%5B%5Cfrac1%7Bs%2B4%7D%5D%3D3e%5E%7B-4t%7D)
 
        
             
        
        
        
Answer:
5hours
Step-by-step explanation:
At constant speed, distance speed= distance/time taken
therefore, time will be obtained by the division of distance traveled by the speed.  
in this question the distance is provided but time is not hence time is calculated as follows. time= distance/time taken
                             =275miles/55miles/hour
                             = 5hours
 
        
                    
             
        
        
        
Answer:
x= 4
Step-by-step explanation:
i dont think u need explanation but lmk if u do :)
 
        
             
        
        
        
Step-by-step explanation:
by considering how many inches (") are in one foot (').
the answer is 12. there are 12 in in every ft.
so, now we can convert everything to the smallest scale (inches) and do the calculation based on inches :
(8×12 + 4) - (2×12 + 6) = 96 + 4 - 24 - 6 = 100 - 30 = 70"
and now to translate 70" back into ft and in :
70/12 = 5 with a remainder of 10
70" = 5' 10"