Answer:
See explaination
Step-by-step explanation:
To convert a second-order differential equation into a system of linear differential equation, we have to write y'' as x', for some variable x.
please kindly see attachment for the step by step solution of the given problem.
2.75 cups were in the punch bowl before felicia refilled it .
<u>Step-by-step explanation:</u>
Here we have , the punch bowl at felicia's party is getting low so she adds 12 cups of punch to the bowl two guests serve themselves 1.25 cups and 2 cups and 2 cups of punch the punch bowl now contains 11.5 cups of punch . We need to find how many cups were in the punch bowl before felicia refilled it let n=number of cups bowl before felicia refilled it. Let's find out:
Initially we have , n number of cups of punch ! Than 12 additional cups were added , given below is the equation framed for the number of cups present:
⇒
Now , After this 1.25 and 2 cups were served by guests themselves and remaining cups were 11.5 i.e.
⇒
⇒
Equating both we get :
⇒
⇒
⇒
Therefore , 2.75 cups were in the punch bowl before felicia refilled it .
You sure seem to be asking a lot of questions lately. I'd like to see that you've been trying with these problems at least because if you can't get that first one it's almost like you missed the whole lesson.
1. 20 = 4b + 7 + 5
Add the 7 and 5.
20 = 4b + 12
Subtract 12 from each side.
8 = 4b
Divide each side by 4.
2 = b
2. 7 = 6k - 7k
6k - 7k = -1k. (the k acts as a sort of unit)
7 = -1k
Divide each side by -1.
-7 = k
3. 3.23 - 2m = 3 - 2(5m - 2)
Distribute the ×-2 to each term inside the parentheses.
3.23 - 2m = 3 - 10m + 4
Add the 3 and 4.
3.23 - 2m = 7 - 10m
Add 10m to each side.
3.23 + 8m = 7
Subtract 3.23 from each side.
8m = 3.77
Divide by 8.
m = 0.47125
4. -88/45=1/3r+2/5r
To get rid of the fractions, let's multiply everything by 45.
-88 = 15 + 18r
Subtract 15 from each side.
-103 = 18r
Divide by 18.
-103/18 = r
As a mixed number, r = -5 and 13/18
As a decimal, r = -5.7222...
Answer:
(-4,-3,-2,-1,0,1,2)
Step-by-step explanation:
..........i hope it is............
Answer:
Part A)
Part B)
Step-by-step explanation:
we have the equation of the line L in standard form
isolate the variable y
The slope of the line L is equal to
Part A) Write the equation, in slope intercept form, of the line passing through the point (2, 7) and parallel to line L
Remember that
If two line are parallel, then their slopes are equal
The equation of the line in slope intercept form is equal to
we have
substitute the values and solve for b
The equation of the line is
Part B) Write the equation, in slope intercept form, of the line passing through the point (2, 7) and perpendicular to line L
Remember that
If two line are perpendicular, then the product of their slopes is equal to -1
The equation of the line in slope intercept form is equal to
we have
Find the value of m2
substitute the values and solve for b
The equation of the line is