90, 96, 120, 124, 130, 135, 140, 145, 148, 290, 290. How would the data graphed on a horizontal number line appear to be clustered or skewed?
<span>The volume of a sphere is V = 4/3 x pi x r^3
The rind volume is the difference of two spheres. The radius of the inner sphere volume is, r - .1 r or .9 r. So the volume of the rind is
V = 4/3 x pi x r^3 - 4/3 x pi (.9 r )^3
V = 4/3 x pi x r^3 - 4/3 x pi x (.9^3) x r^3
Implicitly differentiating both sides with respect to t yields:
V' = ( 4 x pi x r^2 x r' ) - ( 4 x pi x (.9^3) x r^2 x r' )
This equation define the rate of change of the rind volume with respect to time.
As defined in the problem, r' = 2
As well, after 5 weeks the radius will be r = 2 * 5 = 10
V' = (4 x pi x 10^2 x 2) - (4 x pi x (.9^3) x 10 x 2)
V' = (800 x pi) - (800 x pi x (.729))
V' = (800 x pi) (1 - .729)
V' = (800 x pi)(.271)
V' = 681.09 cubic centimeters
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Answer:
simplifies to 
Step-by-step explanation:
Given expression
We have to simplify the above expression,
Consider the given expression
Multiply each term in brackets by 
, we get,
Solving further, using 
we get,
Thus, simplifies to
The correct answer would be that Carl is 4 years old. If John is 20 years older than Carl, that would make him 24. 24 + 4 = 28 years. Therefore, Carl must be 4 years old.
