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.)

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

Choose the equation that represents the graph below: (1 point) graph of a line passing through points negative 3 comma 0 and 0 comma 3 y = x − 3 y = −x + 3 y = −x − 3 y = x + 3 will award !

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?