Answer:
Hence, the particular solution of the differential equation is
.
Step-by-step explanation:
This differential equation has separable variable and can be solved by integration. First derivative is now obtained:



, where C is the integration constant.
The integration constant can be found by using the initial condition for the first derivative (
):



The first derivative is
, and the particular solution is found by integrating one more time and using the initial condition (
):





Hence, the particular solution of the differential equation is
.
Answer:
5%
Step-by-step explanation:
so basically we know in 3 years she spent 390 dollars
so 390 divided by 3 is 130
so all we need to do is find this:
130 is what percent of 2600
so the final answer is 5%
Answer:
you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books
You need to find the total distance and the total time. The total distance is two times the distance to school, 2d.s=d/t=>t=d/sWhere s is speed, d is distance and t is time. So the time taken to get to school is:d/s1and the time taken to get back is:d/s2so the total time is:d/s1+d/s2=d(1/s1+1/s2)So, as speed = distance/time, divide the total distance by the total time:2d/d(1/s1+1/s2)=2/(1/s1+1/s2)=2/(1/20+1/40)=80/3≈26.7km/hr
Answer:
128 bags of popcorn
Step-by-step explanation:
356.20 / 6.85 = 52
634/60 / 8.35 = 76
76 + 52 = 128