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katrin2010 [14]

4 years ago

13

There are nine players on a baseball team. How many different batting lineups are possible

2 answers:

jolli1 [7]4 years ago

7 0

Answer:

362,880

Step-by-step explanation:

9*8*7*6*5*4*3*2*1=362,880. You multiply the number of players, but subtract one each time.

ipn [44]4 years ago

6 0

Answer: 362,800

Step-by-step explanation: To determine how many different batting orders are possible for a 9-player softball team, let's start by drawing 9 blanks to represent the 9 spots in the order.

We know that 9 different players can fill the first spot in the order. However, once the first spot is filled, there are only 8 players left to fill the second spot and once the second spot is filled, there are only 7 players left to fill the third spot and so on.

Therefore, based on the counting principal, we have 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 ways for all 9 spots to be filled which simplifies to 362,880.

Therefore, there are 362,880 different batting orders for a 9-player softball team.

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What is the fifth term of the geometric sequence 5,15,45,...

denpristay [2]

Answer:

405

Step-by-step explanation:

This is a geometric sequence, so we need the common ratio and the first term

To find the common ratio, we take the second term and divide by the first term

15/5 =3

The common ratio is 3

We are multiplying by 3 each time

The first term is 5

The formula is

an = a1 * (r) ^ (n-1) where n is the term number

We want the 5th term

a5 = 5 * (3) ^ (5-1)

a5 = 5 *3^4

= 5 *81

= 405

7 0

4 years ago

Given the figure below, find EF if CA = (6n) and EF = (n + 8)

GalinKa [24]

Answer:

$EF = 12$

Step-by-step explanation:

Given

$CA =6n$

$EF= n + 8$

Required

Find CN

From the attachment:

$EF = CD\ and\ CD = DA$

Where

$CA = CD + DA$

This means that:

$CA = CD + CD$

$CA = 2CD$

or

$CA = 2*EF$

This gives:

$6n = 2*(n+8)$

Open bracket

$6n = 2n+16$

Collect anf simplify like terms

$4n = 16$

$n= 4$

So:

$EF= n + 8$

$EF = 4 + 8$

$EF = 12$

8 0

3 years ago

Expand and simplify (x+2) (x+3) (x+4)

NikAS [45]

Answer:

3x+9

Step-by-step explanation:

1(x+2) +1(x+3) +1(x+4)

<em>x+2+x+3+x+4</em>

<em>x+x+x+2+3+4</em>

<u><em>3x+9</em></u>

8 0

3 years ago

You want to be able to withdraw $40,000 each year for 15 years. Your account earns 9% interest. How much

Sedbober [7]

Answer:

40000×1×9%=3 600 this is for year

3 0

3 years ago

M=1/5 y-intercept is 0,4

ValentinkaMS [17]

Answer:

y = $\frac{1}{5}$ x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{1}{5}$ and c = 4, thus

y = $\frac{1}{5}$ x + 4 ← equation of line

8 0

4 years ago