A classic counting problem is to determine the number of different ways that the letters of "occasionally" can be arranged. Find that number. Question content area bottomPart 1The number of different ways that the letters of "occasionally" can be arranged is enter your response here. ​(Simplify your​ answer. )

Answers

Answer 1

There are 1,088,080 different ways to arrange the letters in the word "occasionally" while keeping all the letters together.

The number of different ways that the letters of "occasionally" can be arranged is 1,088,080.The number of ways to arrange n distinct objects is given by n! (n factorial). In this case, there are 11 distinct letters in the word "occasionally". Therefore, the number of ways to arrange those letters is 11! = 39,916,800.

However, the letter 'o' appears 2 times, 'c' appears 2 times, 'a' appears 2 times, and 'l' appears 2 times.Therefore, we need to divide the result by 2! for each letter that appears more than once.

Therefore, the number of ways to arrange the letters of "occasionally" is:11! / (2! × 2! × 2! × 2!) = 1,088,080

We can use the formula n!/(n1!n2!...nk!), where n is the total number of objects, and ni is the number of indistinguishable objects in the group.

Therefore, the total number of ways to arrange the letters of "occasionally" is 11! / (2! × 2! × 2! × 2!), which is equal to 1,088,080.

In conclusion, there are 1,088,080 different ways to arrange the letters in the word "occasionally" while keeping all the letters together.

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Related Questions

6x^2-19xy-7y^2 HELP ME PLS??

Answers

Answer:

(3x+y) (2x-7y)

Step-by-step explanation:

first write -19xy as a difference and you get 6x^2+2xy-21xy-7y^2

and then take the factor 2x from the expression that is 2x(3x+y) and do the same with the -7 that is = -7(3x+y). So this is you answer= (3x+y)(2x-7)

A couple quick algebra 1 questions for 50 points!

Only answer if you know the answer, quick shout-out to Subtomex0, tysm for the help!

Answers

Answer:

[tex]\textsf{2.} \quad y=\dfrac{35}{x}[/tex]

[tex]\textsf{3.} \quad y=-\dfrac{90}{x}[/tex]

[tex]\textsf{4.} \quad y=\dfrac{63}{x}[/tex]

[tex]\textsf{5.} \quad y=-\dfrac{112}{x}[/tex]

Step-by-step explanation:

If y is inversely proportional to x, then:

[tex]y \propto\dfrac{1}{x} \implies y=\dfrac{k}{x} \quad \textsf{(for some constant }k)[/tex]

Question 2

Substitute one of the given ordered pairs into the inverse variation equation and solve for k:

[tex]\implies 7=\dfrac{k}{5}[/tex]

[tex]\implies 7 \cdot 5=\dfrac{k}{5} \cdot 5[/tex]

[tex]\implies k=35[/tex]

Substitute the found value of k into the formula to create the inverse variation equation for the given ordered pairs:

[tex]\implies y=\dfrac{35}{x}[/tex]

Question 3

Substitute y = -15 and x = 6 into the formula and solve for k:

[tex]\implies -15=\dfrac{k}{6}[/tex]

[tex]\implies -15 \cdot 6=\dfrac{k}{6} \cdot 6[/tex]

[tex]\implies k=-90[/tex]

Substitute the found value of k into the formula to create the inverse variation equation for the given values:

[tex]\implies y=-\dfrac{90}{x}[/tex]

Question 4

Substitute one of the given ordered pairs into the inverse variation equation and solve for k:

[tex]\implies 9=\dfrac{k}{7}[/tex]

[tex]\implies 9 \cdot 7=\dfrac{k}{7} \cdot 7[/tex]

[tex]\implies k=63[/tex]

Substitute the found value of k into the formula to create the inverse variation equation for the given ordered pairs:

[tex]\implies y=\dfrac{63}{x}[/tex]

Question 5

Substitute one of the given ordered pairs into the inverse variation equation and solve for k:

[tex]\implies -16=\dfrac{k}{7}[/tex]

[tex]\implies -16 \cdot 7=\dfrac{k}{7} \cdot 7[/tex]

[tex]\implies k=-112[/tex]

Substitute the found value of k into the formula to create the inverse variation equation for the given ordered pairs:

[tex]\implies y=-\dfrac{112}{x}[/tex]

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What is the approximate number of minutes that avery spends in extra circular activities

Answers

The approximate number of minutes that Avery spends on the extra curricular activities are 122 minutes.

Given that Avery spent 10 minutes outside, 64 minutes in riding her bike, 48 minutes on the trampoline.

We have to calculate the approximate time that Avery spends on extra curricular activities.

Time spent by Avery outside=10 minutes

Time spent by Avery in riding her bike=64 minutes

Time spent by Avery on trampoline=48 minutes

Total time spent by Avery on extra curricular activities is equal to 10+64+48

=122 minutes

Hence the total time spent by Avery on extra curricular activities is 122 minutes.

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Question is incomplete as the question should include that Avery spent 10 minutes outside,64 minutes in riding her bike, 48 minutes on trampoline and rest of the time in swimming.

In 2015, around ____ percent of the world’s population had an internet connections.

Answers

Around 43% of the worlds population had an internet connection

The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph.
The slope of the graph of the function is equal to
for xxx between x=-3x=−3x, equals, minus, 3 and x=-2x=−2x, equals, minus, 2.
The slope of the graph is equal to
for xxx between x=3x=3x, equals, 3 and x=4x=4x, equals, 4.
The greatest value of yyy is y=\:y=y, equals
.
The smallest value of yyy is y=\:y=y, equals
.

Answers

The slope of the graph of the function is equal to 0 for x between x = -3 and x = -2.The slope of the graph of the function is equal to 0 for x between x = 3 and x = 4.The greatest value of y is y = 4.The smallest value of y is y = -3.

How to complete the sentences?

By critically observing the graph shown in the image attached below, we can logically deduce that the slope of the graph of this function is equal to 0 for x, between x = -3 and x = -2.

Similarly, the slope of the graph of this function is also equal to 0 for x, between x = 3 and x = 4.

Based on the graph (see attachment), the greatest value of y is 4 while the smallest value of y is -3.

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hi can you please help me

Answers

Answer:

See attached image

Step-by-step explanation:

I'm uncertain as to the "best statement."  None seem to accurately describe the situation. I picked the one that was least incorrect (if that makes any sense).

Select the correct answer. What is the approximate solution to this equation? 4lnx - 8 = 12
A. x = 148.4
B. x = 10.5
C. x = 1.61
D. x = 59,874

Answers

Answer:

Step-by-step explanation:

hello :

4lnx - 8 = 12

4lnx - 8 +8= 12+8

4lnx =20

lnx =5

coclusion : x =e^5

A. x = 148.4

Solve for x |2x+1|=-13

Answers

Answer:

no solution

Step-by-step explanation:

Your question is in the form:

absval of something

= a NEGATIVE number



The absolute value is always positive. So it can never be negative.

There are no values that x can be that will make this math sentence true.

It's not really a trick question, but the course/teacher/book/program just wants you to recognize that an absolute value CANNOT be negative.

When tariq woke up this morning, the temperature was 0 degrees. the temperature rose 23 degrees in the afternoon, the temp decreesed in the evniing. and it was 11 degrees when tariq went to bed. what integer represents the temp when tariq went to bed?

Answers

The final temperature at the time Tariq goes to bed was +12 degrees, represented as integers.

The initial temperature of the day was 0 degrees.

The temperature rose 23 degrees in the afternoon.

This implies that we move +23 on the scale, represented as an integer.

The temperature decreased 11 degrees in the evening.

This implies that we move -11 on the scale, represented as an integer.

This moves the temperature to +23 -11 = +12 degrees, represented as an integer.

Thus, the final temperature at the time Tariq goes to bed was +12 degrees, represented as integers.

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10 cm
7 cm
8 cm
SA =
7 cm
2 cm
[?] cm²
6 cm
If you'd like,
you can use a
calculator.

Answers

Step-by-step explanation:

as the graphic shows, there are 2 objects : 1 block and 1 triangular shaped half-block.

the block is

7cm × 6cm × 2cm

the half-block is

8cm × 7cm × 6cm

with 10cm being the length of the tilted "roof" area.

the 2 sides facing each other are not visible to the observer, so, they are not part of the surface area of the composite figure.

let's start with the block :

top and bottom 7×2

front and back 6×2

no left (fully covered by the half-block)

right 6×7

that gives us :

2 × 7×2 = 2×14 = 28 cm²

2 × 6×2 = 2×12 = 24 cm²

6×7 = 42 cm²

in total : 94 cm²

the half-block :

top 10×7

bottom 8×7

front and back (triangles) 8×6/2

no left (due to being a half-block)

no right (fully covered by the block)

that gives us :

10×7 = 70 cm²

8×7 = 56 cm²

2 × 8×6/2 = 2×24 = 48 cm²

in total : 174 cm²

so, the complete surface area of the composite figure is

94 + 174 = 268 cm²

A number with 100 digits is given. the first two digits of that number are 2 and 9 . how many digits has a square of that number?

Answers

The square of the given number will have 199 digits.

How to find the number digits in the square of the given number?

A number with hundred digits is given.

The first two digits of the given number are 2 and 9.

We can use the following formula to find the total number of digits in the square of a number.

2n - 1

Where n is the total number of digits in the given number.

Let us take a number with 2 digits:

29*29 = 841     { 2*2 - 1 = 3}

We can see that the square of the 2-digit number has 3 digits in it.

Let us take a number with 3 digits:

299*299 = 89401     { 2*3 - 1 = 5}

We can see that the square of the 3-digit number has 5 digits in it.

Similarly, we can find the number of digits in the square of a 100-digit as shown below:

2n - 1 = 2*100 - 1

= 200 - 1

= 199

Therefore, we have found that the square of the given number will have 199 digits.

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Paul has four paper strips of the same length. He glues two of them together with 4 cm overlap, and the new strip is 36 cm long. He wants to make a 30cm long strip with the other two strips how long should the overlap be?

Answers

Answer:

maybe the answer ris 36×4 and then 30×4 and subtract the result?!?!

Can someone help me please

Answers

Answer:

The slope of the line segment CD is ( - [tex]\frac{8}{9}[/tex] )

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of the midpoint are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

The slope of a line segment with coordinates of the ends

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

Point D is the midpoint of a segment AB

A ( 4 , 12 )

B ( - 6 , - 8 )

( [tex]\frac{-6+4}{2}[/tex] , [tex]\frac{-8+12}{2}[/tex] ) = ( - 1 , 2 )

D ( - 1 , 2 )

C ( 8 , - 6 )

[tex]m_{CD}[/tex] = [tex]\frac{-6-2}{8-(-1)}[/tex] = - [tex]\frac{8}{9}[/tex]

In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm. Which compound inequality represents the situation?
r > 4 and r ≤ 4.1
r > 4 or r ≤ 4.1
r < 4 and r ≥ 4.1
r < 4 or r ≥ 4.1

Answers

The compound inequality represents the situation is r > 4 and r ≤ 4.1

Compound inequalityRadius of the gear = r

r must be greater than 4 cm

r > 4

r must not exceed 4.1 cm

r ≤ 4.1

Therefore, r > 4 and r ≤ 4.1 is the compound inequality which represent the situation.

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Its A: r > 4 and r ≤ 4.1

What is the range of possible sizes for side x?

Answers

Answer:

Should be 3.9

Step-by-step explanation:

prove me wrong

Find the length of side DF

Answers

The length of side DF is 3.75.

Given that within the figure there are two triangles that are similar.

Congruent triangles will be triangles that have a comparable measure and shape. This infers that the comparing sides are comparable and the relating focuses are equivalent.

Two comparative triangles are given.

If two triangles are comparable at that point their comparing sides are relative and comparing points are congruent.

DF/AB=EF/BC

Substitute the values from the given figure

DF/15=6/24

Cross multiply both sides, and we get

DF×24=6×15

DF×24=90

Divide both sides by 24, we get

(DF×24)/24=90/24

DF=15/4

DF=3.75

Hence, the length of side DF from the given figure is 3.75.

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in a recent survey,55% of cell phone owners said they text messages.what fraction of cell phone owners is this

Answers

Answer:

11/20

Step-by-step explanation:

55% = 55/100

by simplifying this fraction (divide top and bottom by 5), you get 11/20

There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and come back ( you dont have to go on the same road there and back)?

Answers

Answer:

49 different ways

Step-by-step explanation:

If there are seven roads that lead to the top, you have seven possible choices to go to the top of the hill.

Then, to come back to the start, you also have seven possible choices (seven roads), and you can pick any road.

So, if you have seven ways to go up and seven ways to go down, the number of different ways of going to the top and coming back is the product of these numbers of possible choices.

N(total) = N(up) * N(down)

N(total) = 7 * 7

N(total) = 49 different ways

Brainliest pls and tysm!

PLS HELP!!
Reproduce the definition of theoretical probability.
Theoretical Probability = a/b

Answers

Answer:

Step-by-step explanation:

a = number of successful events

b = total number of events.

What is the area of this trapezoid?

Answers

Answer:

315

Step-by-step explanation:

A(n) _________is an equation satisfied by every number that is a meaningful replacement for the variable

Answers

The correct answer is identity

A rectangular-prism-shaped toy chest is 2 \text { m}2 m2, start text, space, m, end text by 1 \text { m}1 m1, start text, space, m, end text by 1 \text { m}1 m1, start text, space, m, end text. A shipping crate is packed with 181818 of these toy chests. There is no extra space in the crate.

Answers

The volume of the shipping crate is 36 m per cube.

According to the statement

we have given that the

A rectangular-prism-shaped toy chest is 2 m by 1 m by 1 m. A shipping crate is packed with 18 of these toy chests.

And we have to find the volume of the crate.

So,

volume of toy = 2*1*1

Volume of toy = 2 meter per cube.

And Now,

The volume of shipping crate = Volume of one toy* total number of toys in crate

so, Substitute the values in the formula then

The volume of shipping crate = Volume of one toy* total number of toys in crate

The volume of shipping crate = 2*18

The volume of shipping crate = 36 m per cube.

So, The volume of the shipping crate is 36 m per cube.

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what is an equivalent expression for 3(x-9) ?

Answers

The sender is the last option
Answer 3(x)-3(9)
distribute the 3 in the Parentheses
3timex
3time -
3time 9
3(x)-3(9) = 3x - 27

If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is value of y

Answers

Answer:

y = 60

Step-by-step explanation:

Step 1: Make sense of the given

"The ratio of y to x is 3"

This means that, [tex]y\div x=3[/tex]

"The sum of y and x is 80"

This means,  [tex]x+y=80[/tex]

Step 2: Make use of the facts

If [tex]y\div x=3[/tex], then [tex]y = (3*x)[/tex].

We can plug this into the other equation by substitution:

[tex]x + (3 * x)=80[/tex]

This simplifies to:

[tex]4x = 80[/tex]

Which we can solve out and get:
[tex]x=20[/tex].

Step 3: Plug and Chug

We solved for x, but we need the value of y.

So, we go back to the equation we first derived: "[tex]y = (3*x)[/tex]".

And now we substitute the value of x, into this.

[tex]y = (3 * (20))[/tex]

By solving this out, we get:
[tex]y=60[/tex]

So, the value of y is 60.

Which equation is the inverse of 5y+4= (x+3)² +?
1
6 11
10
O y = x² +/
1/2 X+
7
Oy=3± √√5x+2
O-5y-4 = -(x+3)²--1/2
7
O y=-3± √√5x+2

Answers

Answer:

-5y-4=-(x+3)2-1/(2)

Step-by-step explanation:

ANSWER: It's D

Have a great day!!!

please help me with this im struggling

Answers

Answer:   3.6 cm

=======================================================

Explanation:

Triangle ABC is similar to triangle DEF. The order of the lettering is important because it tells us how the letters pair up.

A and D are the 1st letters, so they pair upB and E are the 2ndletters, so that's another pairC and F are the 3rd letters, which is the final pair of points

Based on that, we can determine how the segments pair up

AB and DE correspond to each other. The segments are composed of the 1st and 2nd points.BC and EF correspond as well. The segments use the 2nd and 3rd points.AC and DF correspond also. They use the 1st and 3rd points.

We want to find how long EF is, which means we'll involve BC = 17 since it is paired with it.

The diagram shows that AC = 14 and DF = 3, which is another pair we'll use

--------------------------

The key takeaway is that

AC = 14 and DF = 3 pair up togetherBC = 17 and EF also pair up together

Those two facts lead to the steps below

[tex]\frac{AC}{DF} = \frac{BC}{EF}\\\\\frac{14}{3} = \frac{17}{EF}\\\\14*EF = 3*17\\\\14*EF = 51\\\\EF = \frac{51}{14}\\\\EF \approx 3.642857\\\\EF \approx 3.6\\\\[/tex]

The proportion in step 1 is valid due to the similar triangles, and because of the corresponding side pairs mentioned. In step 3, I cross multiplied.

Answer:

3.6 cm

Step-by-step explanation:

Similar Triangle Theorem

If two triangles are similar, the ratio of their corresponding sides is equal.

Given triangles:

ΔABC and ΔDEF

Therefore the corresponding sides are:

AC and DF, BC and EF, AB and DE

To find the measure of side EF, use the Similar Triangle Theorem:

[tex]\implies \sf AC:DF=BC:EF[/tex]

[tex]\implies \sf \dfrac{AC}{DF}=\dfrac{BC}{EF}[/tex]

[tex]\implies \sf \dfrac{14}{3}=\dfrac{17}{EF}[/tex]

[tex]\implies \sf EF=17 \cdot \dfrac{3}{14}[/tex]

[tex]\implies \sf EF=\dfrac{51}{14}[/tex]

[tex]\implies \sf EF=3.642857...[/tex]

[tex]\implies \sf EF=3.6\:cm\:\:(nearest\:tenth)[/tex]

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The function f(x) is shown in the graph.

Which type of function describes f(x)?

a) Exponential
b) Logarithmic
c) Rational
d) Polynomial

Answers

The function that describes the graph is an exponential function

How to determine the function type?

From the graph, we have the following highlights:

Initially, when x increases; y seem not to increaseThen, x and y increase at the same timeFinally, y increase and x seem not to increase

The above is the description of an exponential function

Hence, the function that describes the graph is an exponential function

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A ball inside of a cube has a volume of 113 cubic inches. If each side of the cube measures 12.6 inches, what is the volume of air inside the cube

Answers

The volume of air inside the cube is 1887.376 cubic inches

What is Volume?

The volume of a shape or an object is the amount of space in the object

How to determine the volume of air inside the cube?

The given parameters are:

Volume of the ball = 113 cubic inchesThe side length of the cube = 12.6 inches

The volume of the cube is calculated using

Volume = (Side length)^3

Substitute 12.6 for Side length

Volume = 12.6^3

Expand the exponent

Volume = 12.6 * 12.6 * 12.6

Evaluate the product

Volume = 2000.376

The volume of air inside the cube is calculated using

Volume of the air = Volume of the cube - Volume of the ball

So, we have

Air = 2000.376 - 113

Evaluate

Air = 1887.376

Hence, the volume of air inside the cube is 1887.376 cubic inches

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Which pairs of triangles appear to be congruent? Check all that apply. 2 A. Triangles 1 and 2 B. Triangles 2 and 3 C. Triangles 1 and 4 D. Triangles 1 and 3 E. Triangles 3 and 4 Triangles 2 and 4 A​

Answers

Pairs of triangles appear to be congruent are :

Triangles 2 and 3. Option B

Triangles 2 and 4. Option D

Triangles 3 and 4. Option E

What are congruent triangles?

Congruent triangles can be defined as the pairs of triangles with same measurement

Triangles 2 and 3 :

After observing triangles 2  and  3  it appears that triangle  is congruent to triangle  .

Option C

Triangles 2 and 4

After observing triangles 2  and 4   it appears that triangle 2 is congruent to triangle 4 .

Option D

E. Triangles 3 and 4

After observing triangles 3  and 4. They are congruent

Option E

Hence, Option B, D and E are correct of the triangles

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Answer:

Triangles 3 and 4
Triangles 1 and 4
Triangles 1 and 3

Step-by-step explanation:

if this is wrong tell me so i can edit the answer, but this is what i got

I need help finding values of x,y,z. I want to know if there is an answer apart from 0, since that is what I need to find. Thanks and look at the pic.

Answers

Answer:

They all equal zero

Step-by-step explanation:

A number cannot equal itself times any number that isn't zero, unless it itself is zero.

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