-1.25, multiply both by 5, -45 divided by 36 is -1.25
Answer:The woodchuck is an herbivore preferring tender plants to coarser bark and trees. They do not typically eat hard wood. While woodchucks do not “chuck” wood, they do “chuck” dirt as they build underground burrows. ... Woodchucks do not chuck wood.
Step-by-step explanation:
New York state wildlife expert Richard Thomas found that a woodchuck could (and does) chuck around 35 cubic feet of dirt in the course of digging a burrow. Thomas reasoned that if a woodchuck could chuck wood, he would chuck an amount equivalent to the weight of the dirt, or 700 pounds.
9514 1404 393
Answer:
58.5 ft by 39 ft
Step-by-step explanation:
Let x represent the length of the two horizontal segments. Then the three vertical segments will be ...
(234 -2x)/3
The total enclosed area is the product of these dimensions:
A = (x)(234 -2x)/3
A = (2/3)(x)(117 -x)
This is the equation of a downward-opening parabola with zeros at x=0 and x=117. The maximum of the parabola will be on the line of symmetry, halfway between these zeros. The value of x there is ...
x = (0 +117)/2 = 58.5
The lengths of the vertical segments are ...
(2/3)(117 -58.5) = 2/3(58.5) = 39
The dimensions of the region enclosing the maximum area are 58.5 ft by 39 ft. The additional vertical segment is 39 ft.
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<em>Comment on maximum area problems</em>
You may have noticed that the total length of the fence allocated to the long sides (2×58.5 = 117) is half the total length of fence and is equal to the total length of fence allocated to the short sides (3×39 = 117).
This relationship is true in all rectangular fencing problems where the area is being maximized for a given total fence length. It doesn't matter how many partitions there are in either direction: <em>the total of horizontal lengths is equal to the total of vertical lengths</em>.
Answer/Step-by-step explanation:
a. The order pair are:
(1, 6) => when x (distance) = 1, y (price) = 6
(3, 8) => when x (distance) = 3, y (price) = 8
(5, 10) => when x (distance) = 5, y (price) = 10
(7, 12) => when x (distance) = 7, y (price) = 12
{(1, 6) (3, 8), (5, 10), (7, 12)}
b. The graph represents a function because every domain value (x-value) has only one range value (y-value) that is related to each.
Answer:
-10
Step-by-step explanation:
Note that the points plotted on the line is by 2 (essentially, each line signifies 2).
The blue point is on the 5th line from the 0. 5 x -2 = -10
-10 is your answer.
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