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’
10 people because all the sisters have the same brother so 7+1+2.
3 2/9 / 12/27
Simplify the Equation
29/9 / 12/27
Because it is division, flip the second fraction and multiply
29/9 x 27/12
Solve and Simplify
783/108
29/4 OR 7 1/4
Answer:
$94.5
Step-by-step explanation:
The value of the item is $63 and the price of the item selling at 150% of $63.
Now, 150% of $63 will be
dollars.
Therefore, there will be profit by selling the item of $63 at the price of 150% of the original i.e. $94.5.
Therefore, the price of an item selling at 150% of its $63 value is $94.5. (Answer)
The area of the circle is calculated through the equation,
A = πr²
where A is the area and r is the radius. An alternate equation can be used,
A = πD²/4
where D is the diameter.
Substituting the known value to the equation,
A = π(9.1 cm)² / 4
A = 65.03 cm²
The area of the sector, As, is calculated by multiplying the area of the circle by the ratio of the angle to the whole revolution.
As = (65.03 cm²) x (170°/360°)
<em>As = 30.71 cm²</em>
The answer to this question is therefore letter B.