P: it is labor day q: i go to the park. r: i have a picnic with my family. translate the following statement and determine its truth value. ~p -> (~q ^ r) a. if it is not labor day, then i will go to the park and have a picnic with my family. true b. if it is not labor day, then i will go to the park and have a picnic with my family. false c. if it is not labor day, then i will not go to the park and have a picnic with my family. false d. if it is not labor day, then i will not go to the park and have a picnic with my family. true

Option C. is the answer.

Step-by-step explanation:

Given statements p, q and r are

p: It is a labor day - Truth value (True)

q: I go to the park - Truth value (True)

r: I have a picnic with my family - Truth value (True)

Now we will find the truth values of the statements

~p : It is not a Labor day - Truth value (F)

~q : I will not go to the park - Truth value (F)

Now (~q ∧ r) : I will not go to the park and have a picnic with my family - Truth value (F) [ conjunction of two statements having truth values as True will be true otherwise False ]

~p → (~p ∧ r) : If it is not Labor Day, then I will not go to the park and have a picnic with my family : Truth value (F) [ Implication of two statements has the truth value as False only when first statement is True and second statement is False otherwise truth value will be True ]

Option C. is the answer.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i