Answer:
(p ∧ q)’ ≡ p’ ∨ q’
Step-by-step explanation:
First, p and q have just four (4) possibilities, p∧q is true (t) when p and q are both t.
p ∧ q
t t t
t f f
f f t
f f f
next step is getting the opposite
(p∧q)'
<em>f</em>
<em> t</em>
<em> t</em>
<em> t</em>
Then we get p' V q', V is true (t) when the first or the second is true.
p' V q'
f <em>f</em> f
f <em>t</em> t
t <em>t</em> f
t <em>t</em> t
Let's compare them, ≡ is true if the first is equal to the second one.
(p∧q)' ≡ (p' V q')
<em>f f </em>
<em> t t</em>
<em> t t</em>
<em> t t</em>
Both are true, so
(p ∧ q)’ ≡ p’ ∨ q’
Answer:
11.4 feet
Step-by-step explanation:
Using the right triangle formed by the tent pole, the ground and the guy rope, where the guy rope (g) is the hypotenuse.
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
g² = 9² + 7² = 81 + 49 = 130 ( take the square root of both sides )
g = 
≈ 11.4 feet
Answer:
A
Step-by-step explanation:
Given
20 - || - 13 | + 17 |
Note the absolute value function always returns a positive value, that is
| - a | = | + a | = a, thus
= 20 - | | - 13 |+ 17 |
= 20 - | 13 + 17 |
= 20 - | 30 |
= 20 - 30
= - 10 → A
Answer: 20% off
Step-by-step explanation:
35.00 times .20 = 7.00
35.00 minus 7.00 = 28.00
