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The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. Suppose intensity is 8000 units at a distance of 2 miles. What will the intensity be at a distance of 11 miles? Round your answer to the nearest unit.a.247 unitsb.228 unitsc.264 unitsd.290 units

The quantity q varies inversely with the square of m and directly with the product of r and x. When m is 4 and the product of r and x is 8, q is 2.5. What is the constant of variation?

Which statements about Jakita’s conclusion are true? Select two options.

Given that , What is the value of f(x) when x = 2? a. 2.5 c. 1 b. 2 d. 0.5 Please select the best answer from the choices provided

The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. A 25-kg object has 980 joules of potential energy when it is 4 meters off the ground. Another object has 150 joules of potential energy at 3 meters off the ground. What is the mass of the second object? Round to two decimal places.

From the graph shown below, what happens to the y- values as the negative x- values get closer to zero? a. They increase c. They stay the same b. They decrease d. cannot be determined from the graph Please select the best answer from the choices provided

Solve: a. x = 40 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided

When x = 2, y = 50 and when x = 4, y = 100. Which direct variation equation can be used to model this function?

When p = 12, t = 2, and s = , r = 18. If r varies directly with p and inversely with the product of s and t, what is the constant of variation?

The kinetic energy, K, of an object varies jointly with its mass, m, and the square of its velocity, v. The mass of an object stays the same, but the velocity of the object is halved. How is the kinetic energy of the object affected?

A landscaper estimates that a set of plants can be installed in 6 hours by 12 workers. The landscaper wants to finish a set of plants in 4 hours. Assuming that the variables are inversely related, how many workers should the landscaper bring to the job?

Which equation represents an inverse variation function that passes through the points (4, 5) and (10, 2)?

The kinetic energy, K, of an object varies jointly with the mass of the object and the square of the velocity of the object. A 50-kg object moving at a velocity of 20 meters per second has 10,000 joules of kinetic energy. How many joules of kinetic energy does a 25-kg object moving at a velocity of 10 meters per second have?

Solve: a. x = 5 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided

The quantity y varies directly as x and inversely as z. When x is 10 and z is 4, y is 15. What is y when x is 20 and z is 6?

For the function defined by , y varies inversely as what quantity? a. c. y b. d. Please select the best answer from the choices provided

A quantity m varies jointly with p and r. When p is 2 and r is 4, m is 1. What is the constant of variation?

A quantity a varies inversely as a quantity b, if, when b changes, a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?a.quantity a triplesc.quantity a stays the sameb.quantity a doublesd.quantity a halves

When h is and j is , g is 4. If g varies jointly with h and j, what is the value of g when h is 2 and j is 3?