In how many ways can the letters of
the word "COMPUTER" be arranged so that
i) all vowels are
always together?
ii) the relative positions of the vowels and
consonants are not changed?​

Answers

Answer 1

Step-by-step explanation:

The vowels in the word "COMPUTER"

are O, U and E.

Part (i):

Number of ways = 5! * (6 * 3!) = 4,320 ways.

Part (ii):

Number of ways = 5! * 3! = 720 ways.


Related Questions

Write an expression to represent the perimeter of a rectangle with the length of x -4 and width of 2x +8.

Answers

Answer:

2(x-4) + 2(2x+8) OR long way (x-4) + (x-4) + (2x+8) + (2x+8)

Step-by-step explanation:

2(x-4) represents the (x-4) + (x-4) in the longer version since for perimeter you add the sides. Same thing for the other side, 2(2x+8) represents (2x+8) + (2x+8).

Not sure if you need the expression solved but here:

[tex]2(x-4) + 2(2x+8)\\(2x-8) + (4x+16)\\=6x+8[/tex]

To get from first line to second, use distributive property. To get from second to third line, combine like terms.

The perimeter of a rectangle with the length of (x - 4) and width of

(2x +8) will be (6x + 8).

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The length of rectangle = x - 4

The width of rectangle = 2x + 8

Now,

Since, The length of rectangle = x - 4

The width of rectangle = 2x + 8

We know that;

The perimeter of rectangle = 2 (Length + Width)

⇒ The perimeter of rectangle = 2 (x - 4 + 2x + 8)

⇒ The perimeter of rectangle = 2 (3x + 4)

⇒ The perimeter of rectangle = (6x + 8)

Learn more about the rectangle visit:

https://brainly.com/question/25292087

#SPJ2

make R the subject of the equation
h= 2 ( R - 4 )

Answers

Answer:

h=2(R-4)

h=2R-8

h+8=2R

h+8/2=R

so...R=h+8/2

Answer:

h+8/2

Step-by-step explanation:

h=2R-8

h+8=2R

h+8/2=R

R=h+8/2

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Add a point at (0.-2) then go down 3 and put another point connect the dots thats it

Step-by-step explanation:

Answer:

So graphing this line is super easy. The slope is -3 and the y-intercept is -2. The like will be going down. Find (0,-2) on the graph and plot that. then go down three times and to the right once. If you connect the first dot to the second one it will show you a line going downwards.

Step-by-step explanation:

If you still need help let me know.

what expression is equivalent to 15 x^-3 x^5/3x^7 z^5

Answers

15x+83-39(-3) +6 hope this helps you

1. In order to determine how many hours per week freshmen college students watch television, a random sample of 256 students was selected. It was determined that the students in the sample spent an average of 14 hours. The standard deviation is 3.2 hours per week for all freshman college students.a.Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week.

Answers

Answer:

about 44 hours a week

Step-by-step explanation:

Mrs. Hart went to get her nails done at the salon. The cost was $35.00. What is the total amount if tax is 6% and she wants to leave a 18% tip?
A. $24.00
B. $43.40
C. $8.40
D. $59.00

Answers

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Answer:

Answer:

B) $43.40

Step-by-step explanation:

For the tax, 6% of 35 = 2.1

So with tax = $35 + 2.1 = $37.1

18% tip

So, 18% of 35 = 6.3

So we are gonna add all the costs together = 37.1 + 6.3 = $43.40

Step-by-step explanation:

Find the area of the shaded figure.

The area is
square units.

Please answer if you know it.

Answers

Answer:

its easy just count the squares that is touching the outline of the shape and boom

The graph below represents a library fine, in dollars, for a book returned late after a number of days overdue.

A graph titled Library Fines. The horizontal axis shows days overdue and the vertical axis shows the fine (dollars). The line shows an increase to $10 at 19 days overdue, then constant.

Christen returned an overdue book to the library. Her fine was the same as the amount on the following day. Out of the fines show below, which one would be closet to the number of days overdue?

10
14
18
21

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

10 points. Need answer fast!.
How many different arrangements can be made with the letters from the word MATH?
A. 24
B. 6
C. 256
D. 8

Answers

Answer:

b

Step-by-step explanation:

In what place will the first digit of the quotient 5.64 divided by 15

Answers

kigegvdvdjsjshdbdhdhhdh

Which model best represents to 3(2x + 3)

Answers

Answer:

i believe C

Step-by-step explanation:

sorry if wrong

Answer:

The answer is A

Step-by-step explanation:

I used distributive property and got 6x+9 Letter A has 6xs and 9 1s. So A is the correct awnser

2. The equation y = 8x gives the points, y, earned by reading books.
Use this equation to find the number of books Stephanie read to earn 72 points. Show your work.
(Hint: Which variable can you substitute 72 for in y= 8x?)
Write your answer in the space below.

Answers

y = points

so substitute 72 for y

72 = 8x

divide by 8

9 = x

stephanie reads nine books to reach 72 points
She has to read 9 books.

Nike is having a 20% off sale on all of their sneakers. If a pair of sneakers normally costs $89, how much will it be during the sale? *

Answers

Answer:

$71.20

Step-by-step explanation:

Multiply 89 to .2 and you get 17.8 then you subtract that from the originat cost.

HELP!!!!!!!
A falling object travels a distance given by the formula d=3t+5t2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 84 feet?

Answers

Answer:

Approximately 3.81 seconds

Step-by-step explanation:

d = 3t + 5t²

d = 84

84 = 3t + 5t²

3t + 5t² - 84 = 0

5t² + 3t - 84 = 0

5(t² + 3/5t - 84/5) = 0

5(((t + 3/10)² - 9/100) - 84/5) = 0

5((t + 3/10)² - 9/100 - 84/5) = 0

5((t + 3/10)² - 9/100 - 1680/100) = 0

5((t + 3/10)² - 1689/100) = 0

5(t + 3/10)² - 1689/20 = 0

5(t + 3/10)² = 1689/20

(t + 3/10)² = 1689/100

t + 3/10 = ±√(1689)/10

t = -3/10 ± √(1689)/10

t = -3/10 ± ≈41.1/10

t = -3/10 ± ≈4.11

t ≈ -0.3 ± 4.11

t [can only be positive] ≈ 4.11 - 0.3

t ≈ 3.81

helphelphelphelphelphelp

Answers

Answer:

i have no idea

Step-by-step explanation:

Which equation represents exponential growth? Y= 1/3(0.1)^x

Answers

https://socratic.org/questions/how-do-you-determine-if-the-equation-y-1-3-0-1-x-represents-exponential-growth-o#416982

Step-by-step explanation:

go to this link maybe it might help you with what youre working with?

What reason can be used to complete this proof?


m∠1=m∠3 because ∠1≅∠3.

m∠1+m∠2=m∠CXB and m∠2+m∠3=m∠AXD _________.

m∠1+m∠2=m∠AXD because you can substitute m∠1 for m∠3.

m∠CXB=m∠AXD by the transitive property of equality.

So, ∠AXD≅∠CXB.

Answers

Answer:

Option (2)

Step-by-step explanation:

Given:

∠1 ≅ ∠3

To Prove:

∠AXD ≅ ∠CXB

Solution:

Given question is incomplete; find the complete question in the attachment.

            Statements                                                              Reasons

1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3          1). Given

2). m∠1 + m∠2 = m∠CXB and                    

    m∠2 + m∠3 = m∠AXD                            2). Angle addition postulate

3). m∠1 + m∠2 = m∠AXD                             3). Because you can substitute

                                                                          m∠1 for m∠3

4). m∠CXB = m∠AXD                                   4).Transitive property of equality

5). ∠AXD ≅ ∠CXB

Therefore, Option (2) will be the correct option.

simplify (-8x2 + 10x + 4) - (-4x + 10)​

Answers

Answer:

-8x2 + 14x - 8

Step-by-step explanation:

...........................................................

(-8x2 + 10x + 4) - (-4x + 10)
(-12+ 10x) - (-4x + 10)
-22 + 14x

Many rare and endangered species live in a unique wetland in Florida called the

Answers

The Everglades I think

Good morning!


I am here with a few geometry questions today.


There is 2 steps to this.

Step 1: The city plans a new road that will be parallel to Brodie Lane. What is the slope of the new road?


Step 2: Let m∠6=[tex]x^{o}[/tex]. Which angles have a measure of 180-x?

Use the diagram below to help!

When you answer this question please be sure to explain your answer and show work.

Good luck! Have a great day!

Answers

Answer:

Step1. Slope is zeroStep2. Angles 5, 8, 9 and 12

Step-by-step explanation:

Step 1

Parallel lines have the same slope.

Gray Dr is parallel to Brodie Ln

They both are parallel to x-axis, therefore both have a zero slope.

Step 2

m∠6 = x°

Angles 5 and 8 are supplementary with angle 6, so they have a measure of (180 - x)°.

Also, since Gray Dr is parallel to Brodie Ln and Canon Rd is transversal, the angles 9 and 12 have the same measure. Because ∠6 and ∠10 are corresponding angles.

a force of 64 newtons is applied to an area of 3.2 sqaure meters work out the pressure

Answers

Step-by-step explanation:

Pressure = Force / Area

= 64N / 3.2m² = 20Pa. (2s.f.)

PLZ HELP BRAINLIEST

In an election, there are 3 candidates for governor, 4 candidates for senator, and 5 candidates for representative on the ballot.

There are___ways the candidates may be elected. If one of the losers of the governor race is selected to be lieutenant governor, there are___ways for the candidates to be elected.

FOR THE FISRT ONE OPTIONS ARE:12,72,60

FOR THE SECOND ONE OPTIONS ARE:
120,60,14

Answers

Answer:

60 and 120

Step-by-step explanation:

is 1/9 closer to 0 1/2 or 1

Answers

1/2 would probably be closer

Answer:1/9 is closer to 0

Step-by-step explanation:

1/9 is smaller than the rest of the numbers on a number line you'd see it'd be closer

Type the correct answer in the box. Round off your answer to the nearest integer.
B
A and Care right angles. m p =___degrees.

Answers

Answer:

59°

Step-by-step explanation:

In triangle DAB, by Pythagoras theorem:

[tex] DB= \sqrt {6^2 +5^2} =\sqrt{36+25}=\sqrt{61}[/tex]

Next, in triangle DCB, by Pythagoras theorem:

[tex] DB= \sqrt {(\sqrt {61} )^2 - 4^2} =\sqrt{61-16}=\sqrt{45}[/tex]

Now, by sin rule.

[tex] \frac{ \sin \: p}{ \sqrt{45} } = \frac{ \sin 90 \degree}{ \sqrt{61} } \\ \\ \frac{ \sin \: p}{ 6.70820393} = \frac{ 1}{ 7.81024968 } \\ \\ \sin \: p = \frac{ 6.70820393}{7.81024968} \\ \\ \sin \: p = 0.858897501 \\ \\p = 59.19301883 \degree \\ \\ p \approx 59 \degree[/tex]

Is x = 6 a solution to the equation x + 13 = 18?

Answers

Answer:

No, the answer is 5

Answer: No the solution is 5

Step-by-step explanation:

When you substitute x with 6 you get 6+13= 18.

Obviously 6+13 is not 18 so this means that 6 is not a solution.

Hope this helps ;)

The sum of 16x and 5x is equal to 84

Answers

Answer:

16x+5x = 84

21x = 84

x = 4

is the 8 and 21 are the coprime number

Answers

Answer:

Coprime numbers (relatively prime). Numbers have no common prime factors.

Billy drove his car 290 miles in 5 hours. Sheila drove her car 132 miles in 2 hours. If each driver is traveling at a constant speed (in miles per hour), who is driving at a faster speed?​

Answers

Answer:

Shelia is

Step-by-step explanation:

hope this helps plz mark brainlessly

30 POINTS!!!!1 PLEASE HELP!!!!!
A cube is a three-dimensional geometric figure, hollow or solid, contained by six equal square sides. The maximum capacity of a cube is calculated with the formula, V = s3, where V = volume and s = side length.

For a cube shaped box with a maximum capacity of 4,096 cubic inches and a side length of 4x inches, x =
inches.

Answers

Answer:

From what I could tell, the answer is 16.

Please help!!

Find the value of x and the length of each side

Answers

Answer:

3

Step-by-step explanation:

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