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ryzh [129]
3 years ago
8

There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being

the last​ stand-up comic of the evening. If this​ performer's request is​ granted, how many different ways are there to schedule the​ appearances?
Mathematics
1 answer:
Korvikt [17]3 years ago
7 0
This is a permutations problem. There are only 7 comics you can move into different time slots, the 8th one being fixed in that last position. So you can look at it this way:
For the 1st position, you can choose from all 7 people. Once you've picked that one, you have 6 people to choose from for the 2nd position, and similarly for the remaining ones . This gives you 7x6x5x4x3x2x1 = 5040 ways to arrange them. And the last comic stays in the same position all the time so does not change this number. Make sense? If you need to demonstrate it to yourself, use a smaller number of comics, like 3 or 4, and write out the combinations to see that it works.
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What is 3y^2-y-2 in factored form?
GaryK [48]

BY USING MIDDLE TERM SPLITTING,

3y^2-(3y-2y)-2

(3y^2-3y)+(2y-2)

3y(y-1)+2(y-1)

(3y+2)(y-1)

HOPE THIS WILL HELP U

7 0
4 years ago
in the equation x+3y=6, suppose the x-intercept was at (m,0) and the y- intercept was at the ordered pair (0,n). what is the val
VMariaS [17]

Answer:

8

Step-by-step explanation:

The x intercept is when y = 0

x + 3(0) = 6

x = 6

So (6,0) and m = 6

the y intercept is when x = 0

0 + 3y = 6    Divide by 3

y = 6/3

y = 2

the y intercept is (0,2) and n = 2

Answer

m + n = 6 + 2 = 8

4 0
3 years ago
if you deposit 4500 at 5% annual interest compounded annually how much money will be in the account after 30 months
Alja [10]

Answer:

A = $ 50,978.44

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 5%/100

r = 0.05 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 45,000.00(1 + 0.004166667/12)(12)(2.5)

A = $ 50,978.44

8 0
3 years ago
How do write 85 less than the product of 23 and an unknown number is 191.
guapka [62]
23(x)-85
Substitute 12 for x
23(12)-85
276-85
191<span />
8 0
3 years ago
Graph of the figure after the indicated translation
Arlecino [84]

After the translation performed J is now (-2,-2), M is now (-1,-4), K is now (4,1), and L is now (5,-1).

Hope this helps!

6 0
4 years ago
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