Answer:
Consider the proposition C=(p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)
Step-by-step explanation:
This compound proposition C uses the outer disjunction (∨) then the proposition is true if and only if one of the three propositions (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.
First, it is impossible that two or three of these propositions are simultaneously true. For example, if (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjuntion) and r is true (from the second one), a contradiction. All the other possibilities can be discarded reasoning in the same way.
Since these propositions are mutually excluyent, C is true if and only if exactly one of the three propositions is true (and false otherwise). This can only happen if exactly two of p,q, and r are true and the other one is false. For example, (p∧q∧¬r) is true when p and q are true, and r is false.
The base area is (pi)(r squared).
Let m = minutes of commercial
30/90 = 8/m
Solve for m.
90(8) = 30m
720 = 30m
720/30 = m
24 = m
Answer:
(0,4) is the y intercept for function A
(0,3) is the y intercept for function B
so function A has the greatest y intercept
Step-by-step explanation:
Answer:
30 meters
Step-by-step explanation:
You MUST multiply 5 and 6 to get 30 to find area you have to multiply length times width