Answer:
Step-by-step explanation:
The given differential equation is 
The characteristics equation is given by
Finding the values of r
We got a repeated roots. Hence, the solution of the differential equation is given by
On differentiating, we get
Apply the initial condition y (0)= 3 in equation (i)
Now, apply the initial condition y' (0)= 13 in equation (ii)
Therefore, the solution of the differential equation is
Answer:
18.84
Step-by-step explanation:
3.14 · 6
18.84
Answer:
x = 3
Step-by-step explanation:
95 + 85 + 100 + 27x -1 = 360
280 + 27x - 1 = 360
279 + 27x = 360
27x = 81
x = 3
Double check your work:
95 + 85 + 100 + 27(3) - 1 = 360
95 + 85 + 100 + 81 -1 =360
360 = 360
Answer:
28
Step-by-step explanation:
4 / 7 * x = 16
4 * x = 16 * 7
x = 4 * 7
x = 28
A)
The formula for direct variation is written as Y = KX, where k is the direct variation you need to solve for.
Y is the total amount raised and X would be the number of attendees:
100 = K5
Divide both sides by 5:
K = 100/5
K = 20
B. The constant of variation is K which is 20
C) Using the formula from A: y = kx, replace k with 20 and x with 60 and solve for y:
y = 20 * 60
y = 1200
The total is: $1,200
2. A relationship is proportional when the ratio is a constant number.The relationship is non proportional when the ratio varies between the different values.
