answer.
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
Ymorist [56]
2 years ago
10

Evaluate the expression: 18P4 A. 3,060 B. 12,240 C. 18,360 D. 73,440

Mathematics
2 answers:
Alexxandr [17]2 years ago
5 0

18P4=\dfrac{18!}{(18-4)!}=\dfrac{18!}{14!}=15\cdot16\cdot17\cdot18=73440

jeka57 [31]2 years ago
3 0

\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad \qquad _{18}P_4=\cfrac{18!}{(18-4)!}

one may note that, your calculator besides having a [ ! ] factorial button, it also has a [ ₙPᵣ ] button for permutations, and you can use that too.

You might be interested in
Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = ___ (x +11)2 +____.
wel

The\ vertex\ form:\\\\f(x)=a(x-h)^2+k

\text{Use}\ (a+b)^2=a^2+2ab+b^2\qquad(*)

g(x)=4x^2+88x=4(x^2+22x)=4(x^2+2\cdot x\cdot11)\\\\=4(\underbrace{x^2+2\cdot x\cdot11+11^2}_{(*)}-11^2)=4[(x+11)^2-121]=4(x+11)^2+(4)(-121)=4(x+11)^2-484

5 0
2 years ago
Read 2 more answers
On a given morning the temperature was 71 Fahrenheit the temperature dropped 5° and then rose how much does the temperature need
horrorfan [7]

71-5= 66

71-66=5

The temperature needs to rise 5 degrees for the temperature to return to 71 degrees.

7 0
2 years ago
Read 2 more answers
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
2 years ago
If c = 10d, what percent of 3c is 3d?
son4ous [18]

Answer:

1000%

Step-by-step explanation:

c=10d,

3c will become 3*10d=30d

d is 10 times to c which converts to 1000%

6 0
2 years ago
Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the s
stiks02 [169]
The answer should be c. 108.36
4 0
2 years ago
Read 2 more answers
Other questions:
  • Y is the midpoint of XZ. X has coordinates (2,4), and Y has coordinates (-1,1). Find the coordinates of Z.
    15·1 answer
  • A pencil and a ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost?
    14·2 answers
  • How much of a 90% alloy must be combined with 70% gold alloy in order to get 60 ounces of an 85% gold alloy?
    15·1 answer
  • the geometric mean of 2 positive numbers is the square root of their product of the 2 numbers. What is the geometric mean of 4 a
    9·1 answer
  • the area of a rectangle banquet hall is 7400 square feet. the length of one side of the hall is 82 feet. explain how you can use
    15·1 answer
  • Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complet
    12·2 answers
  • The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013. What was the mean amount of pr
    6·2 answers
  • Dave, Frank, and Kathy can process 1,300 catalog orders per day when all three of them are working. Dave and Frank can do 780 or
    6·1 answer
  • Burn is to ointment as grief is to
    9·1 answer
  • Observe the map of the United States above. Areas indicated in red are where tornadic activity is most likely. Which
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!