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
Nadya [2.5K]
4 years ago
12

50 POINTS PLEASE HELP ME!!!!!!!! HURRY!!!! 17. Evaluate 6! 8P5 12C4

Mathematics
1 answer:
jolli1 [7]4 years ago
5 0

Step-by-step explanation:

n!=\underbrace{1\cdot2\cdot3\cdot...\cdot n}\\\\6!=1\cdot2\cdot3\cdot4\cdot5\cdot6=720\\=======================\\_nP_r=\dfrac{n!}{(n-r)!}\\\\_8P_5=\dfrac{8!}{(8-5)!}=\dfrac{8!}{3!}=\dfrac{3!\cdot4\cdot5\cdot6\cdot7\cdot8}{3!}=4\cdot5\cdot6\cdot7\cdot8=6,720\\=======================\\_nC_r=\dfrac{n!}{r!(n-r)!}\\\\_{12}C_4=\dfrac{12!}{4!(12-4)!}=\dfrac{4!\cdot5\cdot6\cdot...\cdot12}{4!\cdot8!}=\dfrac{5\cdot6\cdot7\cdot8\cdot9\cdot10\cdot11\cdot12}{1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8}=495

You might be interested in
What are three consecutive odd integers such that the third is nine more than twice the sum of the first and second
Natasha_Volkova [10]

Answer: There is more than one answer, any of these will do

3, 5, 25

5, 7, 33

7, 9, 41

5 0
3 years ago
The SAT mathematics scores in the state of Florida are approximately normally distributed with a mean of 500 and a standard devi
s2008m [1.1K]
I this the answer you are looking for would probably be 47.7%. hope this helps!!
6 0
3 years ago
Read 2 more answers
The function shown in the graph is A) f(x) = x - 1 B) f(x) = 2x - 1 C) f(x) = x - 0.5 D) f(x) = 2x - 0.5
ryzh [129]

Answer:

B

Step-by-step explanation:

B because the y-intercept is (0,-1) and another point is (5,9). Using the slope formula, 10/5=2 so the right equation is B.

5 0
3 years ago
Which best defines an algebraic expression?
natali 33 [55]
An algebraic EXPRESSION will not have an equal sign so it will not be letter a or b.
Since it's algebraic it will have numbers, VARIABLES, and symbols. Letter C
7 0
4 years ago
Suppose the sound wave has the form y=7cos(3x-pi/6) for x in the interval [pi/6 , 7pi/18]. Express x as a function of y, and sta
Vesnalui [34]

Answer:

x = ⅓ acos(y/7) + π/18, [-7, 7/2]

Step-by-step explanation:

y = 7 cos(3x − π/6)

Solving for x:

y/7 = cos(3x − π/6)

acos(y/7) = 3x − π/6

acos(y/7) + π/6 = 3x

x = ⅓ acos(y/7) + π/18

The domain of x is the same as the range of y.

When x = π/6:

y = 7 cos(3π/6 − π/6)

y = 7 cos(π/3)

y = 7/2

When x = 7π/18:

y = 7 cos(21π/18 − π/6)

y = 7 cos(π)

y = -7

So the domain of x as a function of y is [-7, 7/2].

5 0
4 years ago
Other questions:
  • TRUE OR FALSE : A pair of pants has been marked down from $36 to $27 . The percent decrease is 25%
    13·2 answers
  • Find the range of the data below, 12, 15, 11, 15, 13, 10, 15
    7·1 answer
  • If is equal to 0.73, then is equal to ______.<br><br> 0.73<br><br> 0.50<br><br> 0.33<br><br> 0.27
    12·1 answer
  • What is the vertical asymptote of the function 1 over (cos pi x over 2)?
    5·1 answer
  • What are the angles in a 30˚- 60˚- 90˚ triangle after it is rotated 45˚?
    10·1 answer
  • What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 7 units and base
    5·2 answers
  • What value of x will make the triangles similar by the SSS similarity theorem?<br><br> x =
    9·1 answer
  • HELLLO IM NEW TO THIS APP CAN U HELP ME PLEASEEE
    7·2 answers
  • Use the monthly payment formula to find the monthly payment for a $1,000, one year
    6·1 answer
  • (c) The original function y= A(n) converted an input, the circle's radius, to an output, the circle's area.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!