Answer:
Four billion, two-hundred seventy five thousand.
Answer:
<u>There are 380 ways that 1st and 2nd place can be determined in the race</u>
Step-by-step explanation:
There are 20 possibilities for determine the 1st place
There are 19 possibilities for determine the 2nd place
Number of ways that 1st and 2nd place can be determined = 20 * 19
Number of ways that 1st and 2nd place can be determined = 380
Answer:
8
Step-by-step explanation:
Length = 2x-4
Width = x+1
Let x=3 and find the length and width
Length = 2*3-4 = 6-4 =2
Width = x+1= 3+1 =4
The area is given by
A = l*w = 2*4 = 8
Apply to Row 2 : Row 2 + Row 1
2x + 2y + 3z = 0
y + 4z = -3
2x + 3y + 3z = 5
Apply to Row 3: Row 3 - Row 1
2x + 2y + 3z = 0
y + 4z = -3
y = 5
Apply to Row 3: Row 3 - Row 2
2x + 2y + 3z = 0
y + 4z = -3
-4z = 8
Simplify rows
2x + 2y + 3z = 0
y + 4z = -3
z = -2
<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>
Apply to Row 2: Row 2 - 4 Row 3
2x + 2y + 3z = 0
y = 5
z = -2
Apply to Row 1: Row 1 - 3 Row 3
2x + 2y = 6
y = 5
z = -2
Apply to Row 1: Row 1 - 2 Row 2
2x = -4
y = 5
z = 2
Simplify the rows
<u>x = -2</u>
<u>y = 5</u>
<u>z = -2</u>