Since all the fractions are terminating decimals, convert all fractions to decimals for easy working.
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Height :
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Height = 22.25 ft
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Diameter :
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Diameter = 2.4 x 22.25
Diameter = 53.4 ft
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Radius :
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Radius = Diameter ÷ 2
Radius = 53.4 ÷ 2
Radius = 26.7 ft
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Volume :
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Volume of the cylinder = πr²h
Volume of the cylinder = 3.14 x 26.7² x 22.25
Volume of the cylinder = 49806.06 ft² (nearest hundredth)
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Answer : Volume = 49806.06 ft²
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We have q < 0 < p < -r
Since q < 0, this means q is some negative number. The ordered pair (x,y) = (2,q) tells us that the point is below the x axis when x = 2. This does not fit graph B because it appears that an x intercept is at x = 2 (though the graph is a bit small so please provide larger versions of each graph if possible).
This does fit graph C because this point is below the x axis when x = 2.
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Then we have 0 < p or p > 0. So p is some positive number. The point (4,p) is some point above the x axis. We started with (2,q) being below the x axis and now we're above the x axis at (4,p). Only graph C fits this description.
Finally p < -r, so -r is some positive number larger than p. Therefore r itself is some negative number. Example: r = -10, -r = -(-10) = 10.
This means the point (6,r) is below the x axis. Once again this fits the description of what graph C is showing.
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<h3>So that is why graph C is the final answer.</h3>
Graphs A and D are ruled out because there is no transition from positive to negative or vice versa. Graph B is ruled out because of the x intercept at 2 (when that point should be below the x axis); however, the graph is a bit small so please provide a larger copy if possible. Thank you.
Answer:
Town C.
Step-by-step explanation:
Average change of population with time for town A = 
Average change of population with time for town B = 
Average change of population with time for town C = 
Average change of population with time for town D = 
Town C had the greatest average change in population over time (800/yr).
Answer:
b. average total cost = total cost/quantity of output
Step-by-step explanation:
The marginal cost is the additional cost of producing one more unit of output and it can be calculated by taking the change in total cost and dividing it by the change in quantity, its formula is:
- <em>Marginal cost = change in total cost/ change in quantity</em>
The average total cost (sometimes referred to simply as average cost) is total cost divided by the quantity of output, its formula is:
- <u><em>Average total cost = total cost / quantity of output</em></u>
The total cost is obtained adding together the fixed costs and the variable costs, its formula is:
- <em>Total cost = fixed cost + variable cost</em>
The average variable cost is obtained when variable cost is divided by quantity of output, its formula is:
- <em>Average variable = variable cost / quantity of output</em>
I hope you find this information useful and interesting! Good luck!