It is the sum of numbers having a common difference. The fact that it is a sum makes it a series (as opposed to a sequence, which is just a list of numbers). The common difference (of 2.5) makes it an arithmetic series.
A. It costs $20 per adult. If this is a cost fuction, which it is because the wording is "the cost (in dollars) for a adults and c students", adult is a, the cost for 1 adult, 1a, is 20. That relates the number of adults to the cost of 1 adult.
It costs $13 per student. Again, this is a cost function, so since student is c, the cost for 1 student, 1c, is 13. That relates the number of students to the cost of 1 student.
B. The total cost for 4 adult and 24 students looks like this:
20(4) + 13(24) which is 80 + 312 = $392
C. If you have 3 adults and 3 students in your group, the cost is 20(3) + 13(3) which is $99. If you double the number of each, let's see if the cost doubles. We will "up" the numbers to 6 each. 20(6) + 13(6) = $198. Is $198 the double of $99. Yes it is. Let's do it again to check. Let's double the 6.
20(12) + 13(12) = $396, and $198 doubled does in fact equal $396. So there you go!
From Conditional Statements, there can be built a Tautology.
Step-by-step explanation:
According to the question, when the Hypothesis is True and the Conclusion is False, the result will be False. And that's correct.
But when Conditional Statement can be a Tautology, given the fact that not always a Conditional Statement will return the logic value of truth? Look at this example below:
1)James is from Orlando and He lives in Florida. Therefore, James is from Orlando.
2)James is from Orlando and He doesn't live in Florida. Therefore, James is from Orlando.
3)James is not from Orlando e He lives in Florida. Therefore, James is from Orlando
4)James is not from Orlando e He doesn't live in Florida. Therefore, James is from Orlando
What we have here above is symbolic for:
p∧q→p
And this is tautological, since no matter, we have on line 2 for p∧q, q being false it does not change the value for false, in any way for the whole proposition p∧q→p . What gives us a Tautology
