Answer:
a 270° rotation about point P
Step-by-step explanation:
Because after transformation MK and M'K 'are at 90°, that implies that MK is rotated as 90 ° clockwise around P or 270 ° counterclockwise around P.
Therefore the transformation composition that maps 
to 
K"L"M",
So, for this composition, the first transformation is 270° is the 270° rotation i.e to be counterclockwise about point P.
While the transformation of the second would be down translation that goes to the right.
hence, the last option is correct
F(1)=4(1+1+7)-2(1)+8-4
f(1)=36+2
f(1)=38
f(2)=4(2+2+7)-2(2)+8-4
f(2)=44
Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
___
If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
__
There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
_____
nCk = n!/(k!(n-k)!)
The interest due on the first payment is
.. I = Prt
.. I = 110,000*.055*(1/12)
.. I = 504.17
Then the decrease in principal resulting from the first payment is
.. 568.00 -504.17 = 63.83
and the new balance is
.. $110,000.00 -63.83 = $109,936.17
22% liked neither.
Step-by-step explanation:
Given,
64% liked pop music.
52% liked rap music.
38% liked both type of music.
To find out the percentage of those liked neither.
Now,
Let, total number of student = 100
Number of students liked pop = 64
Number of students liked rap = 52
Number of students liked both = 38
So,
Number of students who liked only pop = 64-38 = 26
Number of students who liked only rap = 52-38 = 14
Hence,
Number of students who liked neither = 100 - (26+14+38) = 22
22% liked neither.
