I think the awnser would be +7
Isn't it 5?
I think it's 5 , I may be wrong idk.
Answer:
17.85 cm
Step-by-step explanation:
1) Area of a sphere formula: 
2) Plug in A: 1000 = 
3) Simplify: 1000 = 12.56
4) Divide Each Side By 12.56: 79.61783439 =
5) Take the Square Root of 79.61783439 to Solve for 
: 8.922882628 =
6) Double to get the diameter: 8.922882628*2= 17.84576486
7) Round to the Nearest Tenth: 17.85 cm
Price of a Cake
10.5/3= 3.5
1 Cake = $3 and 5 cents, 3.5
Price of a cookie
3.5*4=14
14 out of 14.80 was the cost of 4 cakes
Which leaves us with 0.8
8/0.8= 0.1
The Price of 1 cookie is 0.1
1 Cake: 3.5
1 Cookie: 0.1
Answer:
y = x*sqrt(Cx - 1)
Step-by-step explanation:
Given:
dy / dx = (x^2 + 5y^2) / 2xy
Find:
Solve the given ODE by using appropriate substitution.
Solution:
- Rewrite the given ODE:
dy/dx = 0.5(x/y) + 2.5(y/x)
- use substitution y = x*v(x)
dy/dx = v + x*dv/dx
- Combine the two equations:
v + x*dv/dx = 0.5*(1/v) + 2.5*v
x*dv/dx = 0.5*(1/v) + 1.5*v
x*dv/dx = (v^2 + 1) / 2v
-Separate variables:
(2v.dv / (v^2 + 1) = dx / x
- Integrate both sides:
Ln (v^2 + 1) = Ln(x) + C
v^2 + 1 = Cx
v = sqrt(Cx - 1)
- Back substitution:
(y/x) = sqrt(Cx - 1)
y = x*sqrt(Cx - 1)
