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l varies partly inversely as m and is partly constant when l=3,m=2 and when l=9,m=5.find m when l=1.
5 answers
L varies
partly inversely as M and is partly constant.
We can represent this relationship between L and M using the formula:
L = k(M/h)
where k and h are constants.
To find k and h, we can use the given information that when L=3 and M=2, and when L=9 and M=5:
3 = k(2/h)
9 = k(5/h)
We can solve for h in the first equation:
3h = 2k
h = (2/3)k
Substitute this into the second equation:
9 = k(5/((2/3)k))
9 = k(7.5)
k = 1.2
Now we can find h:
3 = 1.2(2/h)
h = 4
So the formula for L in terms of M is:
L = (1.2M/4)
We can represent this relationship between L and M using the formula:
L = k(M/h)
where k and h are constants.
To find k and h, we can use the given information that when L=3 and M=2, and when L=9 and M=5:
3 = k(2/h)
9 = k(5/h)
We can solve for h in the first equation:
3h = 2k
h = (2/3)k
Substitute this into the second equation:
9 = k(5/((2/3)k))
9 = k(7.5)
k = 1.2
Now we can find h:
3 = 1.2(2/h)
h = 4
So the formula for L in terms of M is:
L = (1.2M/4)
L varies partly inversely as M and is partly constant when L=3,M=2 and when L=9,M=5 Fins M when L=1
We can use the formula L = k(M/h) to solve for the value of M when L=1.
From the given information, we know that when L=3 and M=2, and when L=9 and M=5:
3 = k(2/h)
9 = k(5/h)
We can solve for h in the first equation:
3h = 2k
h = (2/3)k
Substitute this into the second equation:
9 = k(5/((2/3)k))
k = 1.2
Now we know that:
L = (1.2M/4)
We can plug in L = 1 and solve for M:
1 = (1.2M/4)
M = (4/1.2)
M = 3.33 (rounded to two decimal places)
Therefore, when L=1, M is approximately equal to 3.33.
From the given information, we know that when L=3 and M=2, and when L=9 and M=5:
3 = k(2/h)
9 = k(5/h)
We can solve for h in the first equation:
3h = 2k
h = (2/3)k
Substitute this into the second equation:
9 = k(5/((2/3)k))
k = 1.2
Now we know that:
L = (1.2M/4)
We can plug in L = 1 and solve for M:
1 = (1.2M/4)
M = (4/1.2)
M = 3.33 (rounded to two decimal places)
Therefore, when L=1, M is approximately equal to 3.33.