Final answer:
The value of the algebraic expression 4k + k^2 + 2 when k = 1 is 7. This substitution and calculation process is essential in many scientific expressions where known values are used to solve for unknown constants.
Step-by-step explanation:
To find the value of the algebraic expression 4k + k2 + 2 when k = 1, we substitute the given value into the expression. So, it becomes 4(1) + 12 + 2. Calculating each part, we get 4 + 1 + 2, since 12 is simply 1 multiplied by itself, which is still 1. By adding these numbers together, we find that the expression equals 7.
This process used is similar to finding the value of a rate constant (k) from a rate law expression in chemistry or solving for a constant in physics. While those applications are more complex, they also involve substituting known values into an expression and solving for the unknown. It's important to understand the underlying mathematics to correctly solve expressions in the sciences.