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:
22.2 ounces
Step-by-step explanation:
18.5 ounces times 1.20
Answer:
Cost per ounce = $0.07 (7 cents per ounce)
Step-by-step explanation:
Each container is 7.8 ounces and there are 24 of them in a case.
<u>Total weight</u> in ounce of the case is:
7.8 * 24 = 187.2 ounces
It costs $12.99 for the case, which contains 187.2 ounces. We find the cost per ounce of yogurt by dividing the total cost by total ounces in the case.
12.99/187.2 = 0.0693
Rounded to nearest cent (2 decimal places), that would be:
Cost per ounce = $0.07 (7 cents per ounce)
Hiya, you didn't post a picture of the triangular prism. If you don't know how, you can just give me the measurements of each side and I'll help solve it for you :)
Let x = volume of saline solution A,
y = volume of saline solution B.
We're going to set up two equations.
Firstly, x + y = 6. That gives us y = 6 – x (1)
Second, 0.1x + 0.05y = 0.08•6,
or 0.1x + 0.05y = 0.48 (2)
Substitute (1) into (2):
0.1x + 0.05(6 – x) = 0.48
0.1x + 0.3 – 0.05x = 0.48
0.05x + 0.3 = 0.48
Subtract 0.3 from both sides:
0.05x = 0.18
x = 3.6
Then y = 6 – 3.6 = 2.4
So we have to use 3.6 litres of solution A and 2.4 litres of solution B.
