Answer:
The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2 with (h,k) being the center of the circle and r being the radius. In this case the circle's equation in standard form is (x-2)^2 + (y+3)^2 = 18. Knowing this it's easy to see that the center of the circle (h,k) is (2,-3). Finally the radius is 
or in simplified terms, 3
Step-by-step explanation:
<h3><u>Question:</u></h3>
Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?
<h3><u>Answer:</u></h3>
Aubrey paid $ 25.5 to the wait staff
<h3><u>Solution:</u></h3>
Given that, Aubrey's dinner cost $ 85
She tips the waitstaff 30% for excellent service
We have to find the amount paid as tip to wait staff
Cost = $ 85
Tip = 30 %
So the tip amount paid is 30 % of 85
<h3><u>Find out 30 % of 85</u></h3>
Thus Aubrey paid $ 25.5 to waitstaff
Plan D is the least expensive for him
Answer:
b) ( N c ∩ D ) ∪ ( N ∩ D c )
Step-by-step explanation:
Let's see each option:
a) N ∪ D
This includes those who likes both, so this is not correc.t
b) ( N c ∩ D ) ∪ ( N ∩ D c )
Nc is the complement of N. That is those who do not subscribe to news magazine. Intensected with D, those are who do not subscribe to the news magazine but do to the daily informer. By the same logic, the second intersection are those who do subscribe to news magazine but not to the daily informer. This is the correct answer
c) N c ∩ D
This includes only those who subscribe to the daily informer but not to the news maganize. It also needs those who subscribe to the news magazine but not to the daily informer.
d) ( N ∩ D )c
This also involves those who do not subscribe to any of these news sources.
e) ( N c ∪ D ) ∩ ( N ∪ D c )
Wrong... Intersection of those who subscribe to the daily informer but not the news magazine and those who subscribe to the news magazine but not to the daily informer. This is the empty set.
