Answer:
a(n) = -20 + 3(n - 1)
Step-by-step explanation:
a(n) = -20 + 3(n - 1)
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:
The constant of proportionality, which is represented as "k", describe the constant ratio of two quantities that are proportional (the independent and dependent variables).
In this case we know that the independent quantity represents the total members of the band and the dependent quantity represents the woodwind members of the band.
Since the band consists of 3 woodwinds for every 7 members of the band, we can conclude that the constant of proportionality for this relationship is:
Answer:
Pounds for cashew- 20.96
Pounds for Brazilian nut- 11.04
Step-by-step explanation:
Let c be the pounds of cashew
Let b ne the pound of Brazilian but
32×6.24
= 199.68
7.1c + 4.60b= 199.68.......equation 1
c + b= 32..........equation 2
From equation 2
c= 32-b
Sub 32-b for c in equation 1
7.1(32-b) + 4.60b= 199.68
227.3-7.1b+4.60b, = 199.68
227.3-2.5b= 199.68
-2.5b= 199.69-227.3
- 2.5b= -27.61
b= 27.61/2.5
b= 11.04
Sub 11.04 for b in equation 2
c+b= 32
c + 11.04= 32
c= 32-11.04
c= 20.96
