Question
M is inversely proportional to square of 1. If M=9 when 1=2 find M when 1=10 and 1 when M=1
Answers
GPT 3.5
To solve this problem, we can set up a proportion using the inverse proportionality:
M = k/1^2
where k is the constant of proportionality. We can solve for k by substituting the values of M and 1 given:
9 = k/2^2
9 = k/4
k = 4 * 9 = 36
Now we can use k to find M when 1 = 10:
M = 36/10^2
M = 36/100
M = 0.36
And to find 1 when M = 1:
1 = 36/M^2
1 = 36/1^2
1 = 36/36
1 = 1
So, when 1 = 10, M = 0.36 and when M = 1, 1 = 1.
M = k/1^2
where k is the constant of proportionality. We can solve for k by substituting the values of M and 1 given:
9 = k/2^2
9 = k/4
k = 4 * 9 = 36
Now we can use k to find M when 1 = 10:
M = 36/10^2
M = 36/100
M = 0.36
And to find 1 when M = 1:
1 = 36/M^2
1 = 36/1^2
1 = 36/36
1 = 1
So, when 1 = 10, M = 0.36 and when M = 1, 1 = 1.