1.a sphere with a radius of three units
By definition, the volume of a sphere is:
Substituting values we have:
Rewriting we have:
2.a cone with a diameter of twelve units and a height of three units
By definition, the volume of a cone is given by:
Substituting values we have:
Rewriting we have:
Answer:
D. 6x^3 + 8x
Step-by-step explanation:
2x(3x^2 + 4)
Distribute the 2x
2x(3x^2) +2x( 4)
6x^3 +8x
Answer: 1500 kilometers
75% of a 2000 - kilometer trip is 1500 kilometers
Step-by-step explanation:
<h3>
Answer: perpendicular slope is -2/3</h3>
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Work Shown:
Solve the given equation for y
2y = 3x - 10
y = (3x-10)/2 ..... divide both sides by 2
y = (3x)/2 - 10/2
y = (3/2)x - 5
The equation is in y = mx+b form with m = 3/2 as the slope.
The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.
Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1
(3/2)*(-2/3) = -1
This is true for any pair of perpendicular lines, assuming neither line is vertical.
Scooter B uses fewer gallons after 1350 miles driven