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3 years ago

In how many different ways can the letters of the word 'CORPORATION' be arranged.

1 answer:

3 0

Hey :)

The answer is 50400 ways

Because,
The word 'CORPORATION' has 11 letters.

It has the vowels 'O', 'O', 'A', 'I', 'O' in it and these 5 vowels should always come together.

These 5 vowels can be grouped and considered as a single letter. CRPRTN (OOAIO).

Hence we can assume total letters as 7. But in these 7 letters, 'R' occurs 2 times and rest of the letters are different.

Hope this helps!

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Find the estimates of x^2-x-2=3

Julli [10]

Answer:

$x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-x-2=3\\x^2-x-5=0$

Roots of the quadratic equation $ax^2+bx+c=0$ are

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

So, for the given equation roots are

$x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

5 0

3 years ago

Find the equation of the line parallel to y=5x+1 that contains the point (4,8)

astraxan [27]

The equation of a parallel line will have the same x-term, but a different constant (y-intercept). The required value can be found by putting the given point values in to the equation to see what it needs to be.

... y = 5x + ___

... 8 = 5·4 + ___

... 8 - 20 = -12 = ___

Your equation is ...

... y = 5x -12

4 0

3 years ago

Jet works in the bookstore he has 300 books to stock on the shows so far he has stopped 120 books today what percent of the book

mafiozo [28]

Stokked 120
how many left?
300-120=180
180/300=x%
percent means parts out of 100
180/300=60/100=60%

60% left

7 0

3 years ago

Which translation for: y = (x+3)^2+4<br><br> If you can't see the picture zoom in.

Savatey [412]

Answer:

The answer is B.

Step-by-step explanation:

The original graph of y = x^2 has a vertex at (0,0)

The formula for graph translations is y = (x-#)^2+#

The number inside the parentheses is a horizontal translation.

So, we are given y = (x-(-3))^2+#

The vertex of the graph moves 3 points left, since the number is negative (-3).

The number at the end of the equation is a vertical translation.

So, we are given y = (x+3)^2+4

The vertex of the graph moves 4 points up, since the number is positive (4).

The new vertex is at (-3,4)

5 0

3 years ago

When we use the SPDC model, we always include the following EXCEPT:

Sidana [21]

B.!!!!!! !!!!
that’s the answer

4 0

3 years ago