Answer:
1,816,214,400 batting orders are possible.
Step-by-step explanation:
The order is important.
Suppose we had a two player batting order.
A batting order of Jonathan Schoop and Manny Machado is a different order than Manny Machado and Jonathan Schoop. So we use the permutations formula.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
A baseball coach is creating a nine-player batting order by selecting from a team of 15 players. How many different batting orders are possible?
Selection of 9 players from a set of 15 players. So
1,816,214,400 batting orders are possible.
Answer:
8 hours
Step-by-step explanation:
1/4 = 2h
2h times 4 = 8h
Answer:
7) BC = 10
8) BD = 20
Step-by-step explanation:
7) The segment addition theorem tells you ...
AB +BC +CD = AD
(3x+2) +(2x+4) +(3x-2) = 28
8x +4 = 28 . . . . collect terms
8x = 24 . . . . . . . subtract 4
x = 3 . . . . . . . . . divide by 8
BC = 2x+4 = 2(3) +4
BC = 10
__
8) AB +BD = AC +CD
(2x -14) +(-7 +3x) = (2x -3) +(9)
5x -21 = 2x +6
3x = 27
x = 9
BD = -7 +3x = -7 +3(9)
BD = 20
For this case we have the following quadratic functions:
Revenue: 
Cost: 
Then, we observe that the profit is given by the following mathematical relationship:
Substituting values we have:
Making the corresponding calculations we have:
Answer:
An expression that represents the profit is:
A^2 - b^2 = (a+b)(a-b)
answer :
t^2 - 1
n^2 - 225
