If m ∝ 1/r3 and m = 1 when r = 2, find:
(a) m when r =4|
(b) r when m = 125Light travel at a speed v through rock of density d. v varies inversely as the square root of d
V = 3 when d =2.25. find v when d = 2.26

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

c. 1,233 miles