Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Naterloo Park posted the following schedule listing the number of hours an employee works on a given day. Let [tex]\( B(x) \)[/tex], [tex]\( T(x) \)[/tex], [tex]\( R(x) \)[/tex], and [tex]\( S(x) \)[/tex] represent the number of hours worked by Bill, Ted, Rufus, and Socrates, respectively, on a given day [tex]\( x \)[/tex].

[tex]\[
\begin{tabular}{|l|r|r|r|r|r|}
\hline
& Mon & Tues & Wed & Thurs & Fri \\
\hline
Bill & 6 & 5 & 4 & 7 & 8 \\
\hline
Ted & 4 & 0 & 6 & 10 & 3 \\
\hline
Rufus & 8 & 3 & 6 & 5 & 0 \\
\hline
Socrates & 1 & 2 & 3 & 4 & 0 \\
\hline
\end{tabular}
\][/tex]

What is the value of [tex]\( S^{-1}(0) \)[/tex]?

[tex]\( S^{-1}(0) = \square \)[/tex]

Sagot :

GinnyAnswer
To find the value of [tex]\( S^{-1}(0) \)[/tex], we need to determine the day on which Socrates worked 0 hours. Let’s look at the hours worked by Socrates for each day:

[tex]\[ \begin{array}{|l|r|r|r|r|r|} \hline & \text{Mon} & \text{Tues} & \text{Wed} & \text{Thurs} & \text{Fri} \\ \hline \text{Socrates} & 1 & 2 & 3 & 4 & 0 \\ \hline \end{array} \][/tex]

We observe the following:

- On Monday, Socrates worked 1 hour.
- On Tuesday, Socrates worked 2 hours.
- On Wednesday, Socrates worked 3 hours.
- On Thursday, Socrates worked 4 hours.
- On Friday, Socrates worked 0 hours.

From these observations, we see that Socrates worked 0 hours on Friday.

Given the days of the week are indexed as follows:

- Monday is [tex]\( x = 0 \)[/tex]
- Tuesday is [tex]\( x = 1 \)[/tex]
- Wednesday is [tex]\( x = 2 \)[/tex]
- Thursday is [tex]\( x = 3 \)[/tex]
- Friday is [tex]\( x = 4 \)[/tex]

Since Socrates worked 0 hours on Friday, and Friday corresponds to [tex]\( x = 4 \)[/tex], we have:

[tex]\[ S^{-1}(0) = 4 \][/tex]

So, the answer is:
[tex]\[ \boxed{4} \][/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.