Answer:
The answer is (e)
Step-by-step explanation:
You know that the total time for one practice is (10+15+10+20+x). You can simplify that by adding like terms to get (55+x). You need that amount multiplied by three because he has 3 practices a week. so therefore you get 3(55+x). You distribute that three to both terms to get the simplest form which is 165 + 3x.
Answer:
9:30 am
Step-by-step explanation:
- Add 30 minutes + 30 minutes to get 60 minutes, which is one hour.
- Add 1 hour to 1 hour and 45 minutes to get 2 hours and 45 minutes.
- Subtract 2 hours from 12:15 pm, to get 10:15.
- That'll leave you with just 45 minutes left. To make it easier than subtract 45 minutes from 10:15, subtract 15 minutes from 10:15, to end up at 10:00 am.
- 45 minutes - 15 minutes = 30 minutes, so then you subract 30 minutes from 10:00 am, and you end up at 9:30 am, which is your final answer
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
For more information about differential equation, visit
brainly.com/question/18760518
Answer:
The answer is 7. My name is Tedds the Dog.
