Step 1: Write out the function given

Step 2: Interprete the question given

The question requested we find the summation of the first five terms for f(k/2), when k is 1, 2, 3, 4, and 5
Step 3: Find the expression for f(k/2)


Hence, the answer is 33.75
We can see that, when the input is 5, the output is 24.
<h3>
How to evaluate an equation?</h3>
Here we have the equation:

Where y is the output and x is the input.
We want to evaluate it with the input as 5, so we need to replace the variable x by the number 5, we will get:

Then we can see that, when the input is 5, the output is 24.
If you want to learn more about evaluating functions:
brainly.com/question/1719822
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It would be D. because the volume of a sphere is 4/2 x pi x radius^3.
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:
After 5 weeks.
Step-by-step explanation:
Westley starts with $85 and saves $5 per week. So:

Buttercup starts with $10 and saves $20 per week. So:

When they have the same amount of money, the two equations will be equal to each other. Therefore:

Solve for x. Subtract 10 from both sides:

Subtract 5x from both sides:

Divide both sides by 15:

Westley and Buttercup will have the same amount of money after 5 weeks.