7. Find a proposition with three variables p, q, and r that is true when p and r are true and q is false, and false otherwise. 8. Find a proposition with three variables p, q, and r that is true when at most one of the three variables is true, and false otherwise.
9. Find a proposition with three variables p, q, and r that is never true.
10. Determine whether p ? (q ? r) and p ? (q ? r) are equivalent.
11. Determine whether p ? (q ? r) is equivalent to (p ? q) ? r.
12. Determine whether (p ? q) ?

This problem has been solved! see the answeran evil king has a cellar containing n bottles of expensive wine, and his guards have just caught a spy trying to poison the king’s wine. fortunately, the guards caught the spy after he succeeded in poisoning only one bottle. unfortunately, they don’t know which one. to make matters worse, the poison the spy used was very deadly; just one drop diluted even a billion to one will still kill someone. even so, the poison works slowly; it takes a full month for the person to die. design a scheme that allows the evil king to determine exactly which one of his wine bottles was poisoned in just one month’s time while expending at most o(logn) of his taste testers.you are not allowed to use n testers, one for each bottle, and see which one tester dies after 30 days.(no pseudocode needed. just answer in words, how many testers you use, how you use them and why you correctly identify the poisoned bottle in 30 days)

Jane’s team is using the v-shaped model for their project. during the high-level design phase of the project, testers perform integration testing. what is the purpose of an integration test plan in the v-model of development? a. checks if the team has gathered all the requirements b. checks how the product interacts with external systems c. checks the flow of data in internal modules d. checks how the product works from the client side

This graph compares the total cost of attending educational institutions in texas. the graph demonstrates that the cost at private and public technical schools greatly varies.