Answer:
I would say it's not reasonable. the answer would be the first one
Step-by-step explanation:
Answer:
Step-by-step explanation:
You have the following differential equation:
(1)
In order to find the solution to the equation, you can use the method of the characteristic polynomial.
The characteristic polynomial of the given differential equation is:
The solution of the differential equation is:
(2)
where m1 and m2 are the roots of the characteristic polynomial.
You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:
Answer:
First mechanic worked for 10 hours and second mechanic worked for 15 hours.
Step-by-step explanation:
Let first mechanic worked for X hours and second mechanic worked for Y hours .
Now, according to the question , they worked for a total of 25 hours .
Thus ,
X + Y = 25.
Y = 25 - X -(1)
Also, first mechanic is charging $ 95 per hour and second mechanic is charging $115 per hour .
Thus, total money charged by them will be 95X + 115Y .
Which is given to be $2675 in the question.
Thus 95X + 115Y = 2675. -(2)
Putting equation 1 in equation 2 we get ,
95X + 2875 - 115X = 2675
20X = 200
X = 10 hours.
Thus , Y = 25 - X = 15 hours.
Thus first mechanic worked for 10 hours and second mechanic worked for 15 hours.
Answer:
10 minutes
Step-by-step explanation:
Adam- 3 mph = 20 minutes a mile
Amy- 12 mph = 5 minutes a mile
Adam left 30 minutes prior to Amy so he is a mile and a half ahead before amy even starts.
30 minutes = 1.5 miles (Adam)
7.5 minutes = 1.5 miles (Amy)
but with this being said you have to continue to add time and miles to Adam because he's now gone an extra 7.5 minutes too.
45 minutes = 2.25 miles
15 minues = 3 miles
no youre too far and Amy is now further so we have to go back some
40 minutes = 2 miles
10 minutes = 2 miles
With all this being said Amy only needs to ride her bike for 10 minutes before she catches back up to Adam
