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Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter (
), in inches, of the round balloon to an entirely decimal mode:




The volume of the balloon is modelled after the volume function of a sphere (
), in cubic inches:
(1)
If we know that
, then the volume of the round balloon is:



Hence, the right answer is approximately 210.031 cubic inches.
Answer:
See the attachment for the points and line of interest.
Step-by-step explanation:
A graphing calculator or graphing utility can show you the curve.
For ax²+bx+c, the line of symmetry is x=-b/(2a). That is also the x-coordinate of the vertex. The y-intercept is the constant, the value of the function when x=0. The x-intercepts are the values of x that make f(x) = 0.
Here, those are x=4 and x=-2. You can factor f(x) as (x+2)(x-4). These values of x make the factors, and the function, zero.
1 1/7 = 8/7
The lowest common denominator of 8/7 and 1/9 is 63
72/63 : 7/63
72:7