Answer:
Step-by-step explanation:
The formula for determining the volume of a sphere is expressed as
Volume = (4/3) × πr³
The volume of the given sphere is expressed as 288π inches³. It means that
(4/3) × πr³ = 288π
4r³/3 = 288
4r³ = 3 × 288 = 864
r³ = 864/4 = 216
Taking cube root of both sides, it becomes
r = 6
The formula for determining the surface area of a sphere is expressed as
Area = 4πr²
π = 3.14
Therefore,
Surface area = 4 × 3.14 × 6² = 452.16 inches²
1 in 14 or 1/14
this is the formula I used to calculate:
Probability = Favorable cases / Possible cases
It wants it to be in slope-intercept form.
y=mx+b
We have to first find the slope and plug it into point-slope form.
y-y1=m(x-x1)
Find the slope of the second line. (I did this one first on accident)
Rise/run= 3/1= 3 The slope is 3. Plug that in along with the point (0,3)
y-3=3(x-0)
y-3=3x
Add 3 to the other side.
y= 3x +3 <- <em>for the second line</em><em>
</em>
Now, the second.
rise/run= 1/2= .5 Use point (6,0)
y-0=.5(x-6)
y= .5x-3
y=.5x-3 <- for the first line
I hope this helps!
~kaiker
The solution depends on the value of

. To make things simple, assume

. The homogeneous part of the equation is

and has characteristic equation

which admits the characteristic solution

.
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be

. Then

So you have


This means


and so the general solution would be