When a space satellite orbits the earth, the force, f newtons (n), attracting it towards the center of the earth is inversely proportional to the square of its distance, r meters (m), from the center of the earth. (I) Express F in terms of R and a constant k
(ii) Find the value of k if F = 50 N when R = 32 m
(iii) Find the distance when the force is 512 N
(Iv) Draw the graph of F against R2. (Hint: r2 should go to 1200 and F should go to 600.)

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain

What is the distance between the points (2, 5) and (5,9)?

Segment wx is shown explain how you would construct a perpendicular bisector of wx using a compass and a straightedge