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.
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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the final result of the classical theory of the geomorphic cycle concept is:
The final result of the classical theory of the geomorphic cycle concept is that landscapes are thought to evolve through a series of predictable stages over time.
It suggests that landforms undergo a series of predictable changes over time as they evolve from one form to another in response to changes in climate, tectonic activity, and other environmental factors. The concept of the geomorphic cycle first developed in the late nineteenth century when geographers and geologists began to study landforms on a large scale.
In this model, there are four stages in the geomorphic cycle: youth, maturity, old age, and rejuvenation.
Each stage is characterized by specific processes that shape the landscape. The youth stage is characterized by rapid erosion and steep slopes, while the maturity stage is marked by a more gentle landscape with well-developed drainage systems. In the old age stage, the landscape is flat and low-lying, and the rivers have meandered and changed course numerous times. Finally, in the rejuvenation stage, the landscape is uplifted, and the rivers begin to carve new channels, restarting the geomorphic cycle anew.
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