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Solving the quadratic equation: x = 2.
A cone with a base radius of 4 cm and a height of 9 cm is melted to form a sphere. What is the radius of the sphere?
A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. What is its area?
A sphere is inscribed in a cube with an edge length of 6 cm. What is the volume of the sphere?
Diameter of the sphere = edge length of the cube = 6 cm.
A quadratic equation has roots that are twice and half the value of a number x. If the sum of the roots is 18, what is the value of x?
A science journalist is analyzing the average growth rate of a certain plant species in two different environments over a month. In environment A, the plant grew by 4.2 cm, and in environment B, it grew by 7.8 cm. What is the average growth rate, in centimeters, of the plant across the two environments?
To find the average growth rate of the plant across the two environments, we need to calculate the arithmetic mean of the growth measurements from both environments. The formula for the arithmetic mean is:
A robotics engineer is measuring the time taken by two different robotic arms to complete a task. Arm 1 takes 12.4 seconds, and Arm 2 takes 15.6 seconds. What is the arithmetic mean of the time taken by the two robotic arms?
The arithmetic mean of the time taken by the two robotic arms is calculated by taking the sum of the times and dividing by the number of arms: