It is 8% tax on the cinnamon-scented pencils
Sphere Surface Area = <span> 4 • <span>π <span>• r²
For it to equal 16 PI, then radius must equal 2
4*PI*2*2 = 16 PI
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Sphere Volume = <span> 4/3 • <span>π <span>• r³
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Sphere Volume = <span> 4/3 • <span>π <span>• 2^3
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Sphere Volume = <span> 4/3 *PI * 8
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Sphere Volume = <span> 32 / 3 PI
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Sphere Volume = <span> 10.666 PI cubic feet AND I think that is answer B
which SHOULD read 10 (2/3) PI ft^3
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Answer:
- domain: all real numbers, (-∞, ∞)
- range: all real numbers, (-∞, ∞)
- maximum: +∞
- minimum: -∞
Step-by-step explanation:
The function is an odd-degree polynomial. The domain and range of any odd-degree polynomial is (-∞, +∞). It has no finite maximum or minimum.
There are 3 local maxima, and 3 local minima. The ones that are non-zero are irrational. Those are about -150.018, -580.455, and 578.545. If you're seriously expected to solve for these values, no doubt you have been given a method for doing so. Use that method.
These local extreme values are reported by the Desmos on-line graphing calculator.
<span>(3, 4.5) and (3, 3)
The midsegment of a triangle is a line connecting the midpoints of two sides of the triangle. So a triangle has 3 midsegments. Since you want the midsegment that's parallel to LN, we need to select the midpoints of LM and MN. The midpoint of a line segment is simply the average of the coordinates of each end point of the line segment. So:
Midpoint LM:
((0+6)/2, (5+4)/2) = (6/2, 9/2) = (3, 4.5)
Midpoint MN:
((6+0)/2, (4+2)/2) = (6/2, 6/2) = (3, 3)
So the desired end points are (3, 4.5) and (3, 3)</span>
