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
bija089 [108]
3 years ago
7

Evaluate the permutation. 6P2 15 30 36

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

Answer:

30

Step-by-step explanation:

Using the definition

nP_{r} = \frac{n!}{(n-r)!}

where n ! = n(n - 1)(n - 2)(n - 3)... × 3 × 2 × 1

Thus

6P_{2} = \frac{6!}{4!} = \frac{6.5.4.3.2.1}{4.3.2.1} ← cancel 4.3.2.1 on numerator/ denominator, leaving

      = 6 × 5

      = 30

You might be interested in
Translate the sentence into an equation. The sum of 3 times a number and 7 is 19.
klemol [59]
D. Because you're multiplying 3 by a number which is what the variable represents (n), then you're just adding 7 to that which equals 19 all together. It all translates to 3n+7=19.

7 0
3 years ago
Find each missing measure.
oksano4ka [1.4K]
The answer

a = 84

ac = 9
6 0
2 years ago
Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (
Vladimir79 [104]

Answer:

Factors: (x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

Step-by-step explanation:

We are given a polynomial:

f(x)=x^4-x^3-2x-4

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

8 0
2 years ago
Mrs.Baca uses a phone card to call her relatives in Colombia.It costs her 45 cents to talk for 15 minutes.How long can she talk
zysi [14]
45/15= 3

So 1 minute=3 cents

75*3=225=2.25 converted

75 minutes=$2.25
6 0
3 years ago
Read 2 more answers
to communication companies offer calling plans with company X it cost $0.30 to connect and then $0.03 for each minute with compa
mario62 [17]

Answer:

$0.30 + $0.03n > $0.02 + $0.02n

Step-by-step explanation:

company x = $0.30 + $0.03n

company y = $0.02 + $0.02n

$0.30 + $0.03n > $0.02 + $0.02n

4 0
2 years ago
Other questions:
  • My friend has $729 to spend on a fence for her rectangular garden. She wants to use cedar fencing which costs $18/yard on one si
    6·1 answer
  • 99 POINT QUESTION!!!!!
    15·2 answers
  • What major key has the same number of sharps and flats as the key of a minor. A. A major B. F major C. C major D. G major This i
    6·1 answer
  • What's number 10 please answer
    12·2 answers
  • What is 3 to the power of three halves equal to?
    12·1 answer
  • Find z such that 7.5% of the standard normal curve lies to the left of z.
    12·1 answer
  • Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a sports car; behind all of the ot
    6·2 answers
  • I like to give people easy points so here: 2 + 4
    14·2 answers
  • Please explain how you got the answer also, thank you
    10·1 answer
  • Pls help asap<br> ………………
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!