Here, first tern is 1024, common ratio = 1/2 and last term = 32
32 = 1024((1/2)^n
(1/2)^n = 32/1024 = 1/32
(1/2)^n = (1/2)^5
Therefore, n = 5
Answer:

Step-by-step explanation:
First find the midpoint of the segment from (2, -6) to (-4, -16)
((2 - 4)/2, (-6 - 16)/2)
(-2/2, -22/2)
(-1, -11) is the midpoint and is the center of the circle
Now find the distance between the 2 given points and divide by 2 to get the radius of the circle
d = 
= 
= 
= 
r =
/2
= 136/4 = 34
Equation of circle with center at (-1, -11) and radius =
is

its a sqaure so the angles are 90 degress each.
90 - 38 = 52
answer: C. 52
Answer:
1/14
Step-by-step explanation:
There is only 1 common multiple of 4 and 6 between 1 and 14.
So the probability is:

4- 2/3 (4-1/6) divided by 3/4
parenthesis first
4 - 2/3 (3 5/6) divided by 3/4
change to an improper fraction (6*3+5)/6
4 - 2/3 ( 23/6)divided by 3/4
4 - 46/18 divide by3/4
copy dot flip
4 - 46/18 * 4/3
4 - 23/9 * 4/3
4 - 92/27
get a common denominator of 27
4*27/27 -92/27
108/27 - 92/27
16/27