If you were to reverse it it would be 7/6, but if you need it in another form, tell me.
Answer:
4 hours
Step-by-step explanation:
Alright, so Steve has $50 in his pocket. He wants to rent a bike for the maximum amount of time possible with his money. It costs him $12 per hour to rent a bike.
To solve this problem use simple arithmetic:
($50/$12=4.16)
So Steve is able to rent the bike for 4.16 hours, but we aren't done yet. Steve cannot purchase 16% of an hour, he can only buy FULL hours, so with his $50 , the maximum amount of time he can buy is 4 hours!
Let me know if you need any further explanations :)
Answer:
![y=e^{-3t}(A\: cos\: t+B\:sin\:t)](https://tex.z-dn.net/?f=y%3De%5E%7B-3t%7D%28A%5C%3A%20cos%5C%3A%20t%2BB%5C%3Asin%5C%3At%29)
Step-by-step explanation:
<u>Given Second-Order Homogenous Differential Equation</u>
![y''+6y'+10y=0](https://tex.z-dn.net/?f=y%27%27%2B6y%27%2B10y%3D0)
<u>Use Auxiliary Equation</u>
<u />![m^2+6m+10=0\\\\(m+3)^2+1=0\\\\(m+3)^2=-1\\\\m+3=\pm i\\\\m=-3\pm i](https://tex.z-dn.net/?f=m%5E2%2B6m%2B10%3D0%5C%5C%5C%5C%28m%2B3%29%5E2%2B1%3D0%5C%5C%5C%5C%28m%2B3%29%5E2%3D-1%5C%5C%5C%5Cm%2B3%3D%5Cpm%20i%5C%5C%5C%5Cm%3D-3%5Cpm%20i)
<u>General Solution</u>
<u />![y=e^{pt}(A\: cos\: qt+B\:sin\:qt)\\\\y=e^{-3t}(A\: cos\: t+B\:sin\:t)](https://tex.z-dn.net/?f=y%3De%5E%7Bpt%7D%28A%5C%3A%20cos%5C%3A%20qt%2BB%5C%3Asin%5C%3Aqt%29%5C%5C%5C%5Cy%3De%5E%7B-3t%7D%28A%5C%3A%20cos%5C%3A%20t%2BB%5C%3Asin%5C%3At%29)
Note that the DE has two distinct complex solutions
where
and
are arbitrary constants.
So if 18 + x =43, then what you need to do is
18 + x =43
-18 -18
——————
x = 25
because whatever you do to one side, you need to do to the other