Given the compound statement <span>(p∨q)∧r
where: p: 5 < -3
q : All vertical angles are congruent.
r: 4x = 36, then x = 9.
Recall the in logic, '</span>∨' symbolises "or" while '∧' symbolises "and".
Therefore, the compound statement <span>(p∨q)∧r can be written as follows:
Either 5 < -3 or all vertical angles are congruent, and if 4x = 36, then x = 9.
</span>
Answer:
Solution:
the boat's speed in still water: x
The speed with current: (x+3)
The speed against current: (x-3)
The equation is
3(x+3) = 4(x-3)
x = 21 mph
The distance = 3*(21+3)= 72 miles
I choose (A)
Step-by-step explanation:
Answer:
0.2
Step-by-step explanation:
Conditional probability:
P(A | B) = P(A & B) / P(B)
P(striped | red) = P(striped & red) / P(red)
P(striped | red) = 0.05 / 0.25
P(striped | red) = 0.2
The maximum area of the pen is the highest area the pen can have
The maximum area is 16200 square yards
Let the dimension be x and y.
So, the perimeter is given as:

Because it has one additional fence, the perimeter is calculated as:

Make y the subject

The area is calculated as:

Substitute 

Expand

Differentiate

Set to 0

Rewrite as:

Divide both sides by 4

Substitute 90 for x in 


Hence, the maximum area is 16200 square yards
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