12) 2.3
13) 4/13
14) 8 7/11
7) .3434...
8) 3.166...
15) (2700-600)/2700 = 2100/2700 = 21/27 = 7/9
1) .4666666667
2) .4444...
3) -0.6666666667
4) -0.8571428571
5) 3.3409090909...
6) -2.227272727273
**bar notation is when you put a bar over the repeating part of a decimal because you can't right it all since it goes on forever
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 2x² + 12x + 1
To express in vertex form use the method of completing the square.
The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x
y = 2(x² + 6x) + 1
add/ subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9) + 1
= 2(x + 3)² - 18 + 1
= 2(x + 3)² - 17 → C
275 because 55 times 5 equals 275 ! Hope this helps
This would be a scalene triangle, because all of the sides are different lengths.
The correct answer is C.
Answer:
0.000777
Step-by-step explanation:
The number of possibilities that the 5 horses can finish in the first 5 spots is given by the permutation of those five horses in the first five positions:

The number of possible outcomes for the first 5 places is given by the permutation of 13 horses in the first five positions:

The probability that those five horses finish first, second, third, fourth and fifth is:
