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marishachu [46]
3 years ago
5

A librarian has a set of ten different books, including four different books about Abraham Lincoln. The librarian wants to put t

he ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books. How many different arrangements of the ten books are possible?(A) (10!)/(4!)
(B) (4!)(6!)
(C) (4!)(7!)
(D) (4!)(10!)
(E) (4!)(6!)(10!)
Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The first thing the man needs to do

Is to arrange the books by Abraham Lincoln amongst each other first. Now the number of ways the man can arrange these books amongst each other is a total of 4! Ways. Now there are 6 books remaining and there are also six slots remaining. The number of ways to arrange these six books within theirselves would be 6!

Now the total

Number of arrangements is 6! * 4!

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What is BBC???????????
almond37 [142]

Answer:

BBC News is a British free-to-air television news channel ;)

Step-by-step explanation:

It was launched as BBC News 24 on 9 November 1997 at 5:30 pm as part of the BBC's foray into digital domestic television channels, becoming the first competitor to Sky News, which had been running since 1989.

7 0
3 years ago
What are the square roots of; (note: i think there are supposed to be 2 each) 36 12 1.96 0.64 400 25/36
Goryan [66]

Answer:

36 : 6 and -6

12 = 2\sqrt{3} ,  -2\sqrt{3}

1.96 =1.4 and -1.4

0.64 : 0.8 and -0.8

400 : 20 and -20

25/36 = 5/6 and -5/6

Step-by-step explanation:

we know that

(-x)^2 = x^2

ALSO

(x)^2 = x^2

thus, square of both negative and positive number is same positive number.

_________________________________________________

36 = 6*6

36 = -6*-6

hence

square roots of 36 is both -6 and 6

12 = 4*3 = 2^2*\sqrt{3} *\sqrt{3}

\sqrt{12} = 2\sqrt{3}

also

12 = -2\sqrt{3} *-2\sqrt{3}

\sqrt{12} = -2\sqrt{3}

___________________________________

1.96 = 196/100 = (14/10)^2

1.96 = 196/100 = (-14/10)^2

hence

\sqrt{1.96}  = 14/10  \ or -14/10

_______________________________

0.64 = 64/100 = (8/10)^2 = 0.8^2

0.64 = 64/100 = (-8/10)^2 = (-0.8)^2

Thus, square root of  0.64 = 0.8 and -0.8

_________________________________

400 = 20^2

400 = (-20)^2

\sqrt{400}  = 20\\\sqrt{400}  = -20\\

__________________________________

25/36 = (5/6)^2

25/36 = (-5/6)^2

\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6

7 0
3 years ago
There are 800 students in a high school. Two-fifths of the students are freshman, and 3/4 of the upperclassmen (sophomores thru
Vlada [557]

Answer:

1/4 upperclassmen are not involved in enrichment.

Step-by-step explanation:

"3/4 of the upperclassmen (sophomores thru seniors) are involved in an enrichment." That leaves 1/4 upperclassmen students left. Verification: 3/4 + 1/4 = 4/4. 4/4 is also 1 whole.

6 0
3 years ago
Please can someone answer this.
ivanzaharov [21]

Answer:

  •  x = -4, x = 0, x = 1

Step-by-step explanation:

x is a factor of all terms, so x=0 is a zero. (Eliminates choices 1 and 5.)

The sum of coefficients is 0, so x=1 is a zero. (Eliminates choices 3 and 4.)

Reversing the sign of the odd-degree terms gives signs of -++, so there is one sign change, hence one negative real root (by Descartes' rule of signs). This confirms choice 2 as the answer.

___

Of course, your graphing calculator can answer this almost as quickly.

7 0
3 years ago
Which equation can be used to solve for x?
Pani-rosa [81]

Answer:

\cos(x)  =  \frac{24}{30}

OPTION C

5 0
2 years ago
Read 2 more answers
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