Answer: The given logical equivalence is proved below.
Step-by-step explanation: We are given to use truth tables to show the following logical equivalence :
P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)
We know that
two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.
The truth table is as follows :
P Q ∼P ∼Q P⇔ Q ∼P ∨ Q ∼Q ∨ P (∼P ∨ Q)∧(∼Q ∨ P)
T T F F T T T T
T F F T F F T F
F T T F F T F F
F F T T T T T T
Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.
Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).
Answer:
102
Step-by-step explanation:
34*3=102
the dot in the middle is just another way to say that it is multiplying the equation so it just mean that your are multiplying 34 by 3 which is 102
Answer:
t = 74 / 9
Step-by-step explanation:
-9(t - 2) = 4(1 - 15)
-9t + 18 = 4 - 60
-9t + 18 = -56
-18 -18
-9t = -74
/-9 /-9
t = 74 / 9
t = 8.22
Answer: D) Reflection across the y-axis; 
counterclockwise rotation about the origin
Answer: 7/17
So there are 7 blue marbles and there are 17 marbles in total.
That means the probability of picking one blue marble is 7/17
