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amm1812
4 years ago
7

7. Evaluate 4P2 O 22 O 12 O 14 5

Mathematics
1 answer:
Reika [66]4 years ago
5 0

Answer:

<h2>12</h2>

Step-by-step explanation:

To evaluate 4P2, we will use the permutation formula as shown;

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

4P2 = \frac{4!}{(4-2!}

= \frac{4!}{2!} \\= \frac{4*3*2!}{2!}\\ = 4*3\\= 12

4P2 = 12

You might be interested in
Real numbers x and y satisfy x + xy^2 = 250y, x - xy^2 = -240y. Enter all possible values of x, separated by commas.
agasfer [191]

Answer:

-35,35,0

Step-by-step explanation:

Let's organise our information :

  • x+xy²=250y
  • x-xy²= -240y

Now let's add them together :

  • x+xy²+x-xy²=250y-240y
  • 2x=10y
  • x=5y ⇒ y= x/5

Let's replace y by x/5 in the first equation :

  • x+x*(x/5)²=250*(x/5)
  • x+ (x∧3)/25 = 50x
  • 49x-(x∧3)/25=0
  • x(49-(x²/25))=0
  • x=0 or 49-(x²/25)=0
  • x=0 or 49= x²/25
  • x=0 or x²=1225
  • x=0 or  x= \sqrt{1225} or x= -\sqrt{1225\\}
  • x=0 or x=35 or x= -35

so x=[0,35,(-35)]

4 0
3 years ago
Read 2 more answers
Consider the diagram.
algol [13]

Answer: 9.22 meters long

Step-by-step explanation: I did the assignment

4 0
3 years ago
Read 2 more answers
If 12 men are needed to run 4 machines. How many men are needed to run 20
Harrizon [31]

Answer:

<h2><u><em>60</em></u></h2>

Step-by-step explanation:

If 12 men are needed to run 4 machines. How many men are needed to run 20

we can solve with an equation

12 : 4 = x : 20

x = 12 * 20 : 4

x = 240 : 4

<u><em>x = 60</em></u>

<u><em>----------------------------</em></u>

check

12 : 4 = 60 : 20

3 = 3

<u><em>the answer is good</em></u>

5 0
2 years ago
5 * 3/5 i need help please
kompoz [17]

Answer:

3

Step-by-step explanation:

Order of operations.

5*3/5 is basically the same as 5 times 3 divided by 5. If you are multiplying 5 by 3, and then dividing that same number from the answer, which is 5, then you will get the same number you multiplied by, or 3.

6 0
4 years ago
Maria is ordering copy paper for her office. The office is low on white paper and on blue paper. She will pay $3.50 per ream of
Stells [14]
6 reams of white paper and 4 reams of blue paper
6 0
3 years ago
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