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arlik [135]
2 years ago
5

Consider three persons, A, B, and C, who are to be seated in a row of three chairs. Suppose A and B are identical twins. How man

y seating arrangements of these persons can there be If you are a total stranger?
Mathematics
1 answer:
zubka84 [21]2 years ago
6 0

Answer:

2 ways

Step-by-step explanation:

The best way to do this is to fix the position of the stranger and then arrange the two identical twins

The number of ways of knowing where the stranger will seat is 1! ways = 1 way

The number of ways of arranging the two identical twins is 2! ways = 2*1 = 2 ways

The number of sitting arrangements = 1 * 2 = 2 ways

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What is the inverse of the function g(x) = x^3/8 + 16 ?
lesya692 [45]

Answer:

\hookrightarrow \: { \rm{f(x) =  \frac{ {x}^{3} }{8}  + 16}} \\

• let f(x) be m:

{ \rm{m =  \frac{ {x}^{3} }{8}  + 16}} \\

• make x the subject of the function:

{ \rm{8m =  {x}^{3}  + 128}} \\  \\ { \rm{ {x}^{3} = 8m - 128 }} \\  \\ { \rm{ {x}^{3} = 8(m - 16) }} \\  \\ { \rm{x =  \sqrt[3]{8}  \times  \sqrt[3]{(m - 16)} }} \\  \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}

• therefore:

{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\

6 0
2 years ago
Solve the following proportion problem for x: 14/3x=20/x-5
Butoxors [25]

14        20

----  =  -----  cross multiply

3x       x-5


14(x-5) = 3x (20)

14x - 70 = 60x

-14x          -14x

-70 = 36x

/36    /36

-70/36  = x

or

-35/18 = x

5 0
3 years ago
Read 2 more answers
The shortest warmer was blue. The two longest warmers were pink.
bogdanovich [222]

Answer:

8

Step-by-step explanation:

The shortest leg warmer:

4.5

The longest leg warmers:

6 and 6.5

6 + 6.5 = 12.5

12.5 - 4.5 = 8

4 0
2 years ago
What is the coefficient of 14
My name is Ann [436]
The coefficient is the number . so if the problem said 16x the coefficient would be 16 . the answer is 14
5 0
3 years ago
Frank thinks he will need at about 12 1/2 kilograms of sand for sandbox he is building. The sand he wants is 3$ per kilogram. Ab
vesna_86 [32]
12 * 3 = 36, 1/2 * 3 = 1 1/2
36 + 1 1/2 = $37.50 for about 13 kilograms of sand.
4 0
2 years ago
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