Answer:
The value of the proposition is FALSE
Step-by-step explanation:
~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ ~X) v (B ⊃ X)]
Let's start with the smallest part: ~X. The symbol ~ is negation when X is true with the negation is false and vice-versa. In this case, ~X is true (T)
~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ T) v (B ⊃ X)]
Now the parts inside parenthesis: (A ⊃ Y),(X ⊃ B),(A ≡ T) and (B ⊃ X). The symbol ⊃ is the conditional and A ⊃ Y is false when Y is false and A is true, in any other case is true. The symbol ≡ is the biconditional and A ≡ Y is true when both A and Y are true or when both are false.
(A ⊃ Y) is False (F)
(X ⊃ B) is True (T)
(A ≡ T) is True (T)
(B ⊃ X) is False (F)
~[(F) v ~(T)] ⋅ [~(T) v (F)]
The two negations inside the brackets must be taken into account:
~[(F) v F] ⋅ [F v (F)]
The symbol left inside the brackets v is the disjunction, and A v Y is false only with both are false. F v (F) is False.
~[F] ⋅ [F]
Again considerating the negation:
T⋅ [F]
Finally, the symbol ⋅ is the conjunction, and A v Y is true only with both are true.
T⋅ [F] is False.
Answer:
125,000,000
Step-by-step explanation:
In percentage,
Media + Sales = 3 + 17 = 20%
Let total budget be "t", so we can say:
20% of total budget is 25,000,000
"of" means "multiplication" and "is" means "equal to", so we can convert word equation to algebraic equation. Shown below:
20% * t = 25,000,000
20% = 20/100 = 0.2
Thus, the final equation is:
0.2t = 25,000,000
Solving for t, we get:
The total budget is (125 million) = 125,000,000
Answer:
3%
Step-by-step explanation:
105 = 700 x r x 5
r = 105 / ( 700 × 5 ) = 0.03
r = 0.03
0.03 in percent is 3%
Start by identifying your x1, x2, y1, and y2 values
x1: -2
x2: 9
y1: -20
y2: 79
The general form for writing a point slope equation is y-y1 = m(x-x1)
M is your slope.
To find the slope, plug the values you just identified into the equation y2-y1/x2-x1
This leaves you with 79+20/9+2
Which equals 9, so your slope (m) equals nine.
you can now plug everything into the general form which gives you:
y+20 = 9(x+2)
