Answer: 5
Step-by-step explanation:
For how many teachers are both p ∧ r true and q false?
(p ∧ r) ∧ (q')
q' = q complement (not in q)
p intersection r = (p ∧ r) = 9
both p ∧ r true and q false = (8+6) - 9
both p ∧ r true and q false = 14 - 9 = 5
OR
p + r - p ∧ r
8 + 6 - 9 = 14 - 9 = 5
Answer:
H (the second graph)
Step-by-step explanation:
Yuhhhhhhhhhh 82828191919110010202929229
The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following
perimeter and area of the trapezium.
<h3>How can the area and perimeter of the trapezium be found?</h3>
The perimeter of a trapezoid is given as follows;
Perimeter = The sum of the lengths of the sides
Which gives;
Perimeter = 6 + 7 + 6.5 + 9.5 = 29
The perimeter of the trapezoid =<u> 29 cm</u>
The area of the trapezoid is given as follows;
Which gives;
The area of the trapezoid = 49.5 cm²
Learn more about the area and perimeter of geometric shapes here:
brainly.com/question/359059
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Answer:
Step-by-step explanation:
First, note this parameters from the question.
We let x = number of $5 increases and number of 10 decreases in plates sold.
Our Revenue equation is:
R(x) = (300-10x)(10+5x)
We expand the above equation into a quadratic equation by multiplying each bracket:
R(x) = 3000 + 1500x - 3000x - 1500x^2
R(x) = -1500x^2 - 1500x + 3000 (collect like terms)
Next we simplify, by dividing through by -1500
= 1500x^2/1500 - 1500x/1500 + 3000/1500
= X^2 - x + 2
X^2 - x + 2 = 0
Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1
X = - (-1)/2*1
X = 1/2
Number of $5 increases = $5x1/2 = $2.5
=$2.5 + $20 = $22.5 ticket price gives max revenue.
