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A rod 6 meters long is heated to 20x degrees Celsius, where x is the distance (in meters) from one end of the rod. Calculate the average temperature of the rod

User Hcoat
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Final answer:

To find the average temperature of the rod, calculate the sum of the temperatures at each meter interval and divide by the number of points. Hence, an average temperature of 70 degrees Celsius is for the rod.

Step-by-step explanation:

To calculate the average temperature of the rod, we need to find the sum of the temperatures at each point on the rod and divide by the number of points.

In this case, the length of the rod is 6 meters, so we need to find the sum of the temperatures at each meter interval. Since the temperature is given as 20x degrees Celsius, where x is the distance from one end of the rod, the temperature at each meter interval can be calculated as 20 times the distance in meters.

Therefore, the sum of the temperatures is 20 + 40 + 60 + 80 + 100 + 120 = 420 degrees Celsius.

Finally, dividing by the number of points, which is 6, we get an average temperature of 70 degrees Celsius for the rod.

User Flincorp
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