1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Viefleur [7K]
3 years ago
5

How many ways can you select and arrange 5 books on a shelf out 13 books?

Mathematics
1 answer:
ololo11 [35]3 years ago
8 0

Answer:

There are 154,440 ways.

Step-by-step explanation:

The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

5 books from a set of 13. So

P_{(13,5)} = \frac{13!}{(13-5)!} = 154440

There are 154,440 ways.

You might be interested in
A trough of water is 20 meters in length and its ends are in the shape of an isosceles triangle whose width is 7 meters and heig
Vaselesa [24]

Answer:

a) Depth changing rate of change is 0.24m/min, When the water is 6 meters deep

b) The width of the top of the water is changing at a rate of 0.17m/min, When the water is 6 meters deep

Step-by-step explanation:

As we can see in the attachment part II, there are similar triangles, so we have the following relation between them \frac{3.5}{10} =\frac{a}{h}, then a=0.35h.

a) As we have that volume is V=\frac{1}{2} 2ahL=ahL, then V=(0.35h^{2})L, so we can derivate it \frac{dV}{dt}=2(0.35h)L\frac{dh}{dt} due to the chain rule, then we clean this expression for \frac{dh}{dt}=\frac{1}{0.7hL}\frac{dV}{dt} and compute with the knowns \frac{dh}{dt}=\frac{1}{0.7(6m)(20m)}2m^{3}/min=0.24m/min, is the depth changing rate of change when the water is 6 meters deep.

b) As the width of the top is 2a=0.7h, we can derivate it and obtain \frac{da}{dt}=0.7\frac{dh}{dt}  =0.7*0.24m/min=0.17m/min The width of the top of the water is changing, When the water is 6 meters deep at this rate

8 0
3 years ago
PLS HELP ME ASAP WITH QUESTION 30! THANK YOU SO MUCH!!!
nika2105 [10]
30. is just asking where the two equations graphed intersect each other...

x = -3 and x = 1 for intersections.
8 0
3 years ago
Sara wants to buy a necklace. The necklace has a list price of $41, and the sales tax is 6%. What will be the cost of the neckla
Harman [31]
$43.46

41 x .06 = 2.46

41 + 2.46 = 43.46
8 0
3 years ago
the list price of a fan is Rupees 1500 If the shopkeeper allows 20% is ground how much to the customer pay for it with a 10% vat
Veseljchak [2.6K]

Answer:

450

Step-by-step explanation:

First we have to find the discount

20% of 1500 = 300

if you search up 20 x 1500/100, it would say 300

you can do that same equation in your maths book, and also by canceling out

10% vat tax

so 10% of 1500 = 150

since it is tax, we have to add it to our discount

300 + 150 = 450

450 is the answer

7 0
3 years ago
help asap After eating dinner at the local diner, your bill is $14.25. if you tip 10%, how much money will you leave the waiter?
Ksju [112]
You are correct. The answer is choice A

10% of 14.25 = (10/100)*14.25 = 0.10*14.25 = 1.425 which rounds to 1.43
6 0
3 years ago
Other questions:
  • Write x^2 + 6x -7 in the form (x+a)^2 +b where a and b are integers please
    7·1 answer
  • What is the product of( 2x^2+4x-2) and (3x+6)
    7·2 answers
  • You plan on financing a home theater system for $1,752. The audio shop offers a 15% APR for a 25 month loan. Use this informatio
    7·2 answers
  • What is the value of n?<br><br> Enter your answer in the box
    15·2 answers
  • What is the sum of (2/5x+6) and (3/5x-9)
    10·2 answers
  • What is f(3)?<br><br> –9<br> –1<br> 1<br> 9
    5·2 answers
  • Write the digits in the thousands place
    11·2 answers
  • A local club had a fundraiser to raise money for 15 different programs. They
    14·1 answer
  • What is the equation?
    13·2 answers
  • Please help I dont understand ​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!