M is directly proportional to r squared when r=2 m=14 work out the vaule of m when r=12

504

Step-by-step explanation:

m is directly proportional to r squared.

m = k(r)^2 (1)

where m = 14

r = 2

k = constant of proportionality.

substituting the values into equation 1

14 = k (2)^2

14 = k4

divide both sides by 4

14/4 = k4/4

k = 3.5

to find m, when r = 12

from equation (1)

m = k(r)^2

m = 3.5 (12)^2

m = 3.5 (144)

m = 504.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas