if c is jointly varies as s and iversely varies as the forthroot of m where c=number and m=256 where s=55(1)find the formula connecting the variable?
c = ks/∜m
plugging your numbers,
c = 55k/4
If you have an actual value for c, then you can find k.
To find the formula connecting the variables c, s, and m, we need to determine how they are related based on the given information.
Let's break down the given information:
"c is jointly varies as s" means that c is directly proportional to s.
"c inversely varies as the fourth root of m" means that c is inversely proportional to the fourth root of m.
Now, let's represent these proportionalities mathematically:
Direct proportionality: c = k1 * s, where k1 is the constant of proportionality.
Inverse proportionality: c = k2 / (m^(1/4)), where k2 is another constant of proportionality.
Since we are given a specific value for m (m = 256) and s (s = 55), we can substitute these values into the equations:
For the first equation, c = k1 * s:
c = k1 * 55
For the second equation, c = k2 / (256^(1/4)):
c = k2 / (4^(1/4))
c = k2 / 2
Now, we can rewrite the formula connecting the variables as:
c = k1 * 55 = k2 / 2
Please note that the formula connecting the variables may have additional coefficients or exponents depending on how the problem is defined.