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den301095 [7]
4 years ago
7

A baseball team consists of nine players. How many different batting orders are possible? How many are possible if the pitcher b

ats last?
Mathematics
1 answer:
dmitriy555 [2]4 years ago
3 0

Since the pitcher bats last, there is only one choice for the 9th slot. For the 1st slot, there are 8 choices remaining. For the 2nd slot, there are 7 choices remaining, etc.


So the number of possible batting orders is:
8*7*6*5*4*3*2*1 = 8! = 40,320 
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How can I do substitution method in Algebra 2? The equations are y= x^2-2x-3 and y=x^2+5x+11
Nikitich [7]

\bf \begin{cases} \boxed{y} = x^2-2x-3\\ y = x^2+5x+11 \end{cases}\qquad\qquad \stackrel{\textit{substituting on the 2nd equation}}{\boxed{x^2-2x-3} = x^2+5x+11} \\\\\\ ~~\begin{matrix} x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ -2x-3= ~~\begin{matrix} x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ +5x+11\implies -2x-3=5x+11\implies -3=7x+11 \\\\\\ -14=7x\implies \cfrac{-14}{7}=x\implies \blacktriangleright -2=x \blacktriangleleft

\bf \stackrel{\textit{since we know that }y = x^2-2x-3}{y=(-2)^2-2(-2)-3} \implies y = 4+4-3\implies \blacktriangleright y = 5 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-2,5)~\hfill

7 0
3 years ago
Paco has four pairs of jeans and four T-shirts. How many outfits of a T-shirt and a pair of jeans can Paco make?
defon
J = jeans. S = shirts. 
 4s x 4j= 16 
Here is another way to figure it out. 
Lets say we have four shirts, A, B, C, D. 
And four pairs of jeans, E, F,G,H. 
A & E + A&F + A & G + A &H. 
B&E+B&F+B&G+B&H 
C & E + C&F + C&G+ C&H

D& E + D&F + D&G+ D&H 

All of these pairs equals 16 total pairs. 

I hope this helps!
8 0
3 years ago
Please I rlly need this
slega [8]

Answer:

Volume of triangular pyramid = 2,090 inch³

Step-by-step explanation:

Given:

Side height of base = 19 inch

Side length of base = 22 inch

Height of triangular pyramid = 30 inch

Find:

Volume of triangular pyramid

Computation:

Area of triangular base = (1/2)(b)(h)

Area of triangular base = (1/2)(19)(22)

Area of triangular base = 209 inch²

Volume of triangular pyramid = (1/3)(A)(h)

Volume of triangular pyramid = (1/3)(209)(30)

Volume of triangular pyramid = 209 x 10

Volume of triangular pyramid = 2,090 inch³

8 0
3 years ago
ZA and ZB are supplementary angles. If mZA = (2x + 26)° and m
bixtya [17]
2x+26+x+25=180
3x+51=180
3x=129
X=43
43+25
Answer
mZB=68
7 0
3 years ago
PLEASE ANSWER ASAP!!!!!!!!!!!!!
Licemer1 [7]

Answer:

Since you have to distribute the 4 to both terms in parentheses, the equation is simplified like this:

1 + 12x - 40 -12x

= 1 - 40

= -39

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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