Get expert advice and insights on any topic with IDNLearn.com. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.
Sagot :
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]
[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 appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.