a zone separating two states in which neither state exercises political control.

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Answer 1

Answer:

This zone is called a frontier.

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22. Fences My orchid garden abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $4 per foot, and the fencing for the east and west sides costs $2 per foot. If I have a budget of $80 for the project, what is the largest area I can enclose?

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Given information: The fencing for the southern boundary costs $4 per foot, and the fencing for the east and west sides costs $2 per foot. The budget for the project is $80.

Therefore,The length of the northern boundary is not given. So let us assume it as "x" feet. The southern boundary also has a length of "x" feet. Let the length of the eastern and western boundary be "y" feet.Let "A" be the area enclosed. Therefore,Area (A) = xy square feetThe cost for 1 foot of southern boundary is $4. Hence, the cost for "x" feet of southern boundary is $4x.The cost for 1 foot of eastern and western boundary is $2. Hence, the cost for "y" feet of eastern and western boundary is $4y. The total cost of fencing is given to be $80. Therefore,4x + 4y = 80x + y = 20y = 20 - xSo, the area enclosed is A = xy = x(20 - x)/4 = 5x - 0.25x²So, the area enclosed is A = xy = x(20 - x)/4 = 5x - 0.25x²To maximize the area, differentiate A with respect to x and equate it to 0dA/dx = 5 - 0.5x = 0Therefore, x = 10 feetSubstitute this value in equation (2)y = 20 - x = 20 - 10 = 10 feetTherefore, the largest area that can be enclosed is A = xy = 10 x 10 = 100 square feet. Answer: 100

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True or False: A major criticism of the continental drift hypothesis was the apparent lack of a driving mechanism.

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A major criticism of the continental drift hypothesis was the apparent lack of a driving mechanism. This statement is true.

The Continental drift hypothesis was an earlier theory about how continents' positions on Earth's surface have changed over time. The idea that Earth's continents had once been joined and later separated was suggested by Alfred Wegener in 1912.

But it was generally rejected by the scientific community until the mid-20th century when it was widely accepted and later confirmed through the development of plate tectonics. Continental drift's criticism centered around the apparent absence of a driving force.

It was difficult to imagine how such a large force could move the continents around the planet's surface. Additionally, Wegener was unable to identify a driving mechanism, which also led to the theory's rejection.

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