Final answer:
To find w using the equation w = kmn(k+m+n)/(k+m)(k+n) and the provided values k=0.5, m=-0.33, n=0.25, we substitute the values in and simplify to find w is approximately -0.13588.
Step-by-step explanation:
To solve for w, we'll use the given values for k, m, and n and plug them into the original equation:
w = kmn(k+m+n) / (k+m)(k+n)
First, let's calculate the value of each term:
• k = 0.5
• m = -0.33
• n = 0.25
Now, plug in these values:
w = (0.5)(-0.33)(0.25)(0.5 - 0.33 + 0.25) / ((0.5 - 0.33)(0.5 + 0.25))
Next, simplify inside the parentheses:
w = (0.5)(-0.33)(0.25)(0.42) / (0.17)(0.75)
Calculating each part gives us:
w = (-0.04125)(0.42) / (0.1275)
And finally compute the value of w:
w = -0.017325 / 0.1275 ≈ -0.13588
The value of w is approximately -0.13588.