Answer:
The value of double derivative at x=4.834 is negative, therefore the trough have a maximum volume at x=4.834 inches.
Step-by-step explanation:
The dimensions of given metal strip are
Length = 160 inch
Width = 20 inch
Let the side bend x inch from each sides to make a open box.
Dimensions of the box are
Length = 160-2x inch
Breadth = 20-2x inch
Height = x inch
The volume of a cuboid is
Volume of box is
Differentiate with respect to x.
Equate V'(x)=0, to find the critical points.
Using quadratic formula,
The critical values are
Differentiate V'(x) with respect to x.
The value of double derivative at critical points are
Since the value of double derivative at x=4.834 is negative, therefore the trough have a maximum volume at x=4.834 inches.
Easy! What's 3*8? 24. Now add 24 to 5, which is 29. The answer is "29/8" you leave the denominator the same. (:
Answer: Choice C
scale starts at $5 and goes to $40 with a regular $5 interval
even though we don't start at 0, the difference in bar heights is not exaggerated
graph is not misleading
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Explanation:
Choice A is not true because the vertical axis starts at 5 and not 0
Choice B is the same story as choice A.
Choice D is not true because the vertical axis does not use an irregular interval. The interval or tickmark distance is $5 each time. In other words, the value goes up by 5 each time.
So far, choices A, B and D have been crossed off the list. The only thing left is choice C.
Despite the fact that the vertical axis starts at 5, instead of 0, the graph is not misleading. The heights of the bars can be compared to see that brand H is the most expensive brand. So in a sense, we can ignore the data values along the vertical axis and still be able to see that brand H is the most expensive. The other brands are close to one another in cost.
side note: the bar graph should have a zig-zag line at the very bottom of the vertical axis to indicate "we are not starting at y = 0". This is handy if you happen to start with much larger y values.
