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2 years ago

How many unique ways are there to arrange the letters in a word OPAL.

Mathematics

2 answers:

jek_recluse [69]2 years ago

7 0

Answer:

24.

Step-by-step explanation:

We can use the factorial function to find the number of unique arrangements in a word.

There are 4 unique characters in 'OPAL'. As such, 4! = 24.

In the case that there were repeating characters, such as 'OPALA', then we would divide by the factorial of the number of repeating letters. That looks something like this:

$\frac{5!}{2!} = 60$

Hope this helped.

ivann1987 [24]2 years ago

5 0

Answer:

i think 24 beacuse opal has 4 letters and then u mutiply it by 6 and get 24

Step-by-step explanation:

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Can someone help me???

amm1812

Answer:

r=-189

Step-by-step explanation:

Do U want a Step by step explanation?

8 0

3 years ago

30 points 1 question PLEASE HELP ME OUT I REALLY NEED IT

Pachacha [2.7K]

Answer:

p(-5/3) ≠ 0 So, (3 x +5) is NOT A FACTOR of p(x)

Step-by-step explanation:

Here, the given function is $p(x)=3x^5+2x^2 - 5$

Now, the given root of the function is ( 3x +5)

Now, if ( 3 x + 5) = 0,

we get x = - 5/3

So, the zero of the given polynomial is x = -5/3

Then, x = -5/3, p(x) =0 ⇒ ( 3 x + 5) is a FACTOR of p(x)

Now, let us find the value of function at x = -5/3

Substitute x = -5/3 in the given function p(x), we get:

$p(x)=3x^5+2x^2 - 5 \implies p(\frac{-5}{3}) = 3(\frac{-5}{3})^5 + 2(\frac{-5}{3})^2 - 5\\= 3(\frac{-3,125}{243}) + 2(\frac{25}{9}) - 5\\= (\frac{-3,125}{81}) + (\frac{50}{9}) - 5\\= -38.580 + 5.56 - 5 = -38.02\\\implies p(\frac{-5}{3}) = -38.02$

Now, as p(-5/3) ≠ 0 So, (3x +5) is NOT A FACTOR of p(x)

6 0

2 years ago

What is the simplified form of the following expression? 2 StartRoot 18 EndRoot + 3 StartRoot 2 EndRoot + StartRoot 162 EndRoot

inna [77]

Answer: 2*√18 + 3*√2 + √162 = 18*√2

Step-by-step explanation:

I guess that the equation is:

2*√18 + 3*√2 + √162

And we want to simplify it.

first 18 = 9*2

then we can write:

2*√18 = 2*√(9*2) = 2*3*√2 = 6*√2

and 162/9 = 18

then we can write:

√162 = √(9*18) = √9*√18 = 3√18

now we can use the previous step: √18 = 3*√2

and:

√162 = 3*(3*√2) = 9*√2

now we can write our equation as:

6√2 + 3√2 + 9√2 = (6 + 3 + 9)√2 = 18*√2

And now we can not simplify it further more, so here we end.

4 0

2 years ago

Judy went shopping for school supplies. She bought a binder for $1.38, a pack of pencils for $2.05, and a box of erasers for $3.

Annette [7]

Answer:

The change received by Judy is $ 2.69.

Step-by-step explanation:

Bill paid = $ 10

Cost of binder = $ 1.38

Cost of pack of pencils = $ 2.05

Cost of box of erasers = $ 3.88

Total cost of the school supplies = $ 1.38 + $ 2.05 + $ 3.88 = $ 7.31

The amount of change Judy received = $ 10 - $ 7.31 = $ 2.69

4 0

2 years ago

When adding integers with the same sign, you ___ the numbers and ____ the sign.

fredd [130]

(I)

we are given when we add numbers of same sign

For exp: +2+3=+5

-2-3=-5

We can see that we are adding numbers and then we put same sign in front

so, we can fill spaces

When adding integers with the same sign, you add the numbers and put the sign

(II)

we are given when we add numbers of different signs

For exp: 2-3=-1

-2+3=+1

We can see that we are subtracting numbers and then we put sign of largest value in front

so, we can fill spaces

When adding integers with different signs you subtract the numbers and use the sign of the largest absolute value

8 0

2 years ago