well, if m = 1, let's see, then f(x) = √(mx) = √(1x) = √x
and then g(x) = m√x = 1√x = √x
well, if both equations are equal, then their ranges are also equal.
now, if m = "any positive real number"
f(x) = √(mx) = √m √x will yield some value over the y-axis
g(x) = m√x will yield some range over the y-axis, however, "m" is a larger value than "√m".
what that means is that so long "m" is a positive real number, the ranges of f(x) and g(x) will be the same over an infinite range on the y-axis, even though g(x) is moving faster than f(x), f(x) is moving slower because √m makes a stretch transformation which is smaller than one "m" does.
The complete question is
Find the volume of each sphere for the given radius. <span>Round to the nearest tenth
we know that
[volume of a sphere]=(4/3)*pi*r</span>³
case 1) r=40 mm
[volume of a sphere]=(4/3)*pi*40³------> 267946.66 mm³-----> 267946.7 mm³
case 2) r=22 in
[volume of a sphere]=(4/3)*pi*22³------> 44579.63 in³----> 44579.6 in³
case 3) r=7 cm
[volume of a sphere]=(4/3)*pi*7³------> 1436.03 cm³----> 1436 cm³
case 4) r=34 mm
[volume of a sphere]=(4/3)*pi*34³------> 164552.74 mm³----> 164552.7 mm³
case 5) r=48 mm
[volume of a sphere]=(4/3)*pi*48³------> 463011.83 mm³----> 463011.8 mm³
case 6) r=9 in
[volume of a sphere]=(4/3)*pi*9³------> 3052.08 in³----> 3052 in³
case 7) r=6.7 ft
[volume of a sphere]=(4/3)*pi*6.7³------> 1259.19 ft³-----> 1259.2 ft³
case 8) r=12 mm
[volume of a sphere]=(4/3)*pi*12³------>7234.56 mm³-----> 7234.6 mm³
Answer:
Last step of FOIL: Multiply 2 from the first binomial with 3 from the second binomial.
simplify: a? should be 25x^(6)y^(6)
Step-by-step explanation
Answer:
r = 100 cm
Step-by-step explanation:
The radius is 1/2 of the diameter
1/2 d = 1/2(200) = 100
Answer:
Step-by-step explanation:
well the values for x are from -2 to ∞
so we can write it as
