A.) Determine the truth sets of the following propositions over the positive integers:p ( n ) : n is a perfect square and n < 100q ( n ) : n = | P ( A ) | for some set A .b.) Determine T_{p\wedge q} for p and q above.

The question is missing some details. You want to determine the truth set of some propositions, but the sets are not clearly stated. I will, however explain what you are willing to achieve.

Step-by-step explanation:

To determine the truth set of some propositions is to investigate every detail of the proposition and see if they are true. If the proposition has just one untrue/false situation, the proposition is not true.

With respect to your work,

First, we write the values of p and q.

p = {1, 4, 9, 16, 25, 36, 49, 64, 81}

q = {Not clear}

If there is anything in the proposition that is not true, the proposition is then untrue.

(b) p ^ q is read "p conjunction q". They are the places where p and q are in conjunction.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

the answer is 62.8 cubic units