The region(s) represent the intersection of Set A and Set B (A∩B) is region II
<h3>How to determine which region(s) represent the intersection of Set A and Set B (A∩B)?</h3>
The complete question is added as an attachment
The universal set is given as:
Set U
While the subsets are:
The intersection of set A and set B is the region that is common in set A and set B
From the attached figure, we have the region that is common in set A and set B to be region II
This means that
The intersection of set A and set B is the region II
Hence, the region(s) represent the intersection of Set A and Set B (A∩B) is region II
Read more about sets at:
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Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
Answer: $31.45
Step-by-step explanation:
Given : The price of a pair of pants is $29.95.
The sales tax is 5% = 0.05
Required formula :
Total cost = Price + sales tax percent × Price
Total cost= Price (1+Sales tax percent)
i.e. Total cost of the pair of pants= 29.95 (1+0.05) =29.95(1.05)=31.4475 ≈ 31.45
Hence, the total cost of the pair of pants = $31.45
$291-$210=$81
$81/0.15= 540 miles
I believe the answer is 540 mi.