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stira [4]
3 years ago
7

In how many ways can the eight rooks be placed on an 8-by-8 chessboard so that no two rooks can attack one another?

Mathematics
1 answer:
saul85 [17]3 years ago
7 0
You have a total of (8!)^2/8! and that gets you. 40,320
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At an amusement park john wants to ride a rollercoaster that costs 19 tickets, a bumper car that costs 3 tickets, and a merry-go
N76 [4]

Answer:

John will need 34 more tickets to be able to go on all the rides he wants

Step-by-step explanation:

To solve this, we need to first of all know the total cost in terms of tickets of all the rides that john wants to have.

This will be

cost of roller coaster ride = 19 tickets

cost of bumper car ride = 3 tickets

cost of merry-go-round ride = 33 tickets

Total cost of rides = 19 + 3 + 33 =55 tickets

Next, we will need to find the number of tickets that John has left after losing 10 of them.

This will be 31 - 10 = 21 tickets left

To find the number of more tickets that John needs , we will subtract the number of tickets he has left from total ride ticket cost.

This will be 55-21 = 34 tickets.

Hence, John will need 34 more tickets to be able to go on all the rides he wants

3 0
3 years ago
Chanaisa has 3.75 gallons of paint. She wants to use 2/5 of the paint to paint her living room. How many gallons of paint will C
LuckyWell [14K]
1.5 is the correct answer to your question
4 0
3 years ago
Read 2 more answers
Why do the functions f(x) = sin−1(x) and g(x) = cos−1(x) have different ranges?
Gnom [1K]
We Know that
For a function to have an inverse function, it must be one-to-one—that is, it must pass the Horizontal Line Test.

1. On the interval [–pi/2, pi/2], the function y = sin x is increasing
2. On the interval [–pi/2, pi/2], y = sin x takes on its full range of values, [–1, 1]
3. On the interval [–pi/2, pi/2], y = sin x is one-to-one
sin x has an inverse function on this interval [–pi/2, pi/2]

On the restricted domain [–pi/2, pi/2]  y = sin x has a unique inverse function called the inverse sine function. <span>f(x) = sin−1(x)
</span>the range of y=sin x  in the domain [–pi/2, pi/2]  is [-1,1] 
the range of y=sin-1  x  in the domain [-1,1]  is [–pi/2, pi/2]  

1. On the interval [0, pi], the function y = cos x is decreasing
2. On the interval [0, pi], y = cos x takes on its full range of values, [–1, 1]
3. On the interval [0, pi], y = cos x is one-to-one
cos x has an inverse function on this interval [0, pi]

On the restricted domain [0, pi]  y = cos x has a unique inverse function called the inverse sine function. f(x) = cos−1(x)
the range of y=cos x  in the domain [0, pi]  is [-1,1] 
the range of y=cos-1  x  in the domain [-1,1]  is [0, pi] 

the answer is

<span>the values ​​of the range are different because the domain in which the inverse function exists are different</span>  
8 0
3 years ago
Which expression is equivalent to 6(2x - 3)?
Bess [88]

Answer:

12x-18

Step-by-step explanation:

7 0
3 years ago
Dana drives her car 12 miles in 30 minutes...<br> Find the number of miles she drives in 1 hour
Mashutka [201]

Answer:

24

Step-by-step explanation:

12 miles is done in 30 minutes, so if you multiply 12 x 2 (because 30+30=60 and 60 minutes = an hour) you would get the answer of 24.

3 0
2 years ago
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