Your list of numbers needs a bit of clarification.
You wrote: <span>.9,1.1,.10 38 and .10299
I have to make some assumptions here, and to ask whether you meant the following:
</span><span>.9, 1.1, .1038 and .10299
If so, now's the time to look for the smallest and the largest of these numbers. The smallest is 0.10299:
smallest
</span>
0.10299
<span>0.1038
0.9
1.1
</span>.9, 1.1, .1038 and .10299
If my list disagrees with yours, please ensure that you have copied down these four numbers correctly and then try again (on your own) to order them correctly from smallest to largest.
Foil the binomials
First: n*n=n^2
Outer: n*-5=-5n
Inner: -3*n=-3n
Last: -3*-5=15
Put it together and simplify
n^2-5n-3n+15
n^2-8n+15
Final answer: A
7%, 13%, 0.15, 4/25, 21/100, 0.28
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)
Answer:
In order to change a rational number to a decimal, we just convert the number into the form of a fraction. We then divide the numerator with the denominator and find out the exact value of the division.
