Answer:
the first option - 48s + 4.75
Step-by-step explanation:
The complete table of truth value for the composite proposition:
p q ¬ q p ∨ ¬ q (p ∨ ¬ q) ⇒ q
T T F T T
T F T T F
F T F T T
F F T T F
<h3>How to fill a truth table with composite propositions</h3>
In mathematics, propositions are structures that contains a truth value. There are two truth values in classic logics: True, False. Composite propositions are the result combining simpler propositions and operators. There are the following logic operators and rules:
- Negation changes the truth value of the proposition into its opposite.
- Disjunction brings out "true" value when at least one of the two propositions is so.
- Conjunction brings out "true" value when the two propositions are so.
- Conditional form brings out "true" value when both propositions are true or only the consequent is true or both propositions are false.
Now we present the complete table of truth value for the composite proposition:
p q ¬ q p ∨ ¬ q (p ∨ ¬ q) ⇒ q
T T F T T
T F T T F
F T F T T
F F T T F
To learn more on truth values: brainly.com/question/6869690
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The midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)
<h3>How to determine the midpoint of the line segment joining the points?</h3>
The points are given as:
S(8,3) and T(2,-1)
The midpoint of the line segment joining points S(8,3) and T(2,-1) is calculated as:
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have
Midpoint = 0.5 * (8 + 2, 3 - 1)
Evaluate the sum
Midpoint = 0.5 * (10, 2)
Evaluate the product
Midpoint = (5, 1)
Hence, the midpoint of the line segment joining points S (8,3) and T (2,-1) is (5, 1)
Read more about midpoint at:
brainly.com/question/24311350
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