Question

20z+y to the power of 3+ 40x(x-z)
Evaluate the expression when x= 1/2, y=4, and z= 1/4

Answer 1

After substituting the given values into the expression, we find that the expression evaluates to 734.

Step-by-step explanation:

To evaluate the expression 20z + y to the power of 3 + 40x(x - z) when x = 1/2, y = 4, and z = 1/4, we will substitute the values into the expression step by step.

• First, substitute z = 1/4 into 20z to get 20 * 1/4 = 5.
• Next, add y = 4 to get 5 + 4 = 9.
• Now raise 9 to the power of 3 to get 9^3 = 729.
• For the second part of the expression, substitute x = 1/2 and z = 1/4 into 40x(x - z) to get 40 * (1/2) * ((1/2) - (1/4)) = 40 * (1/2) * (1/4) = 40 * (1/8) = 5.
• Finally, add both parts to get the final answer: 729 + 5 = 734.