Factor this expression completely. 36y2 - 1
2 answers:
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The solution of y= given as:
x: 0 1 2 3
y: 0 3 10 21
<h3>What is Linear Equation?</h3>A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given function is:
y=
For finding the solution of above expression, take value of x and solve for y.
- If x=0
y= 2(0)+0
y=0
- If x=1,
y=
- If x=2
y=
- If x=3
y=
The required table is:
x: 0 1 2 3
y: 0 3 10 21
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To solve this we are going to use the formula for the volume of a sphere: 
where
is the radius of the sphere
Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm,
. Lets replace that in our formula:
Now, the second diameter of our sphere is 36, so its radius will be:
. Lets replace that value in our formula one more time:
To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=
We can conclude that the volume of additional helium in the balloon is approximately <span>17,194 cm³.</span>
where
Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm,
Now, the second diameter of our sphere is 36, so its radius will be:
To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=
We can conclude that the volume of additional helium in the balloon is approximately <span>17,194 cm³.</span>