Answer:
about 18.85 cubic inches of ice cream can fit inside the cone
Step-by-step explanation:
To understand this, you will need to know the formula for a cone's volume which is
πr^2 times h/3
h being the height of the cone
to clarify the equation is pi (3.14) times the radius squared (which means you put it to the power of 2) and you multiply it by the height divided by 3.
Step by step:
π(1.5)^2 times 8/3
put it in a calculator and solve
round according to the problem
hope it helps
Answer:
Step-by-step explanation:
There are 16 cups in a gallon
Step-by-step explanation:
gkhtkrkgkrkfkgfkd ???
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)
There are 8! ways to arrange the 8 letters. Due to the repeated L (3×) and A (2×), only one out of (2!)(3!) = 12 of these is unique.
The number of unique arrangements is 8!/(2!*3!) = 3,360
