Taking into account identical letters, how many ways can the researcher arrange the word CALLITRICHIDAE that start or end with vowels?

Answers

Answer 1

Answer:

241,920 different ways

Step-by-step explanation:

We have 6 vowels, but A repeats twice and I repeats three times, so the number of ways in which each can either start or end the word:

³P₂ = 3! / (3 - 2)! = 6 / 1 = 6 ways

You can start words with A, E or I, or end the words with A, E, or I.

the remaining 8 consonants can be arranged in 8! ways = 40,320 ways

total number of ways that the letters can be arranged = 6 x 40,320 = 241,920 different ways

Answer 2

The total number of ways the researcher arrange the word CALLITRICHIDAE that start or end with vowels is 6 ways and this can be determined by using the given data.

Given :

Word  --  CALLITRICHIDAE

The following steps can be used in order to determine the total number of ways the researcher arrange the word CALLITRICHIDAE:

Step 1 - First, calculate the total number of vowels in the given word CALLITRICHIDAE.

Total vowels = 6

Step 2 - Now, determine the total number of times a letter repeat in the word CALLITRICHIDAE.

So, the letter A appears 2 times and letter I appears 3 times in the word CALLITRICHIDAE.

Step 3 - Now, evaluate the total number of ways the word CALLITRICHIDAE is arranged:

[tex]\rm Total \;Number\; of\; Ways=\; ^3P_2 = \dfrac{3!}{(3-2)!}=6[/tex]

For more information, refer to the link given below:

https://brainly.com/question/1216161


Related Questions

Please helpp!!

Harriet is making loaves of bread for her grandmothers bakery. She has 12 1/12 cups of flour. The recipe calls for 5 1/2 cups of flour to make 3 loaves of bread. Which equation can be used to find L, the total number of loaves of bread that Harriet can make?

Answers

no c q desir xd slnddlnsod

What is the scale factor of ABC to DEF?

Answers

Answer:

The answer is 8.

Step-by-step explanation:

Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC.

The scale factor of ABC to DEF would be 1/3 Thus, the correct option is B.

What is the scale factor?

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

In a triangle ABC and DEF

The sides are as follows 5 to 15 which is thrice the length of the side in ABC.

4 to 12 which is 3 times the length of the side in ABC.

3 to 9 which is 3 times the length of the side in ABC.

Thus, the scale factor would be 1/3.

Learn more about scale factors;

https://brainly.com/question/10518717

1. A baseball team sells snacks at their games to raise money. At their last game, they
made as much money as they made at their first game.
Did they make more money at their first or last game? Explain how you know.

Answers

Answer:

They're the same.?

Step-by-step explanation:

If they made the same amount on their last game as  their first they'd be the same.

Answer:

If I am reading it right, they would have made the same amount of money considering it said "At their last game, they made as much money as they made at their first game."

PLZZZ HELPPPP PLZZZ......

Answers

Answer:

45 units squared

Step-by-step explanation:

Basically you know that two parts of the square is equal to a whole, as 50 plus 50 is 100.

So on the left diagonal, it is equal to 3 units squared, since there are 6 parts and each unit diagonal is equal to 1/2 of a square.

On the right side, there are also 3 units squared, since there are 6 parts and blah blah blah.

Even if it looks different, two partial squares will still add up to one whole square. So the diagonals are equal to 6 units.

Then you can add up your full squares that you already know of so there are 9 units on the bottom row and another 9 on top.

Then you add 7 for the third layer and 6 more on the next.

There are 4 on the next layer and 3 and another square.

So 9 + 9 + 7 + 6 + 4+ 3 + 1.

That is 39.

But you may say: BUT WAIT SCOTTY THERE IS ANOTHER 6

me: oh yah i frgot bro thanks m8

So since there is another 6 more units, it is 45 since 39 + 6 is 45.

Hope this helps boi

The sum of three times a number and eight is 23. Find the number.

Answers

Answer:

5

Step-by-step explanation:

23-8 = 15

15/3 = 5

5x3 = 15 +8 = 23

The answer is 5

I got you bro

Mateo has 7/2 pounds of apples. He needs 3/4 pounds of apples for each batch of applesauce. How many batches of applesauce can make?

Answers

Answer:

2 batches-

Step-by-step explanation:

At the local bakery, Ariel bought 2 oatmeal cookies for $1.50. Mei bought 12 dozen oatmeal cookies for $4.50.
Becky bought 8 oatmeal cookies for $6.00.

Part A
Which graph represents the situation?
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 1 point 5 comma 1 point 7 5, 5 comma 6, and 6 comma 7 point 5 0.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 1 comma 1 point 6, 3 comma 5 point 2 5, and 4 comma 7 point 5 0.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 2 comma 1 point 5, 6 comma 4 point 5, and 8 comma 6.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 2 comma 0 point 7 5, 6 comma 2 point 2 5, and 8 comma 3.
Part B
Look at the graph you chose in Part A. Do the number of cookies and the cost have a proportional relationship?
Use the drop-down menus to show and explain your answer.



Choose...
; the graph
Choose...
a straight line through the
Choose...
.

Part C
What does the point (1, 0.75) represent in this situation? What does the point (0, 0) represent?



1 cookie costs $0.75; no cookies cost $0



1 cookie costs $7.50; no cookies cost $0



0.75 dozen cookies cost $1; 0 dozen cookies cost $0



1 dozen cookies cost $0.75; 0 dozen cookies cost $0

Answers

Answer:

A=3rd one

B=Yes, Its a straight line through the origin

C=1 cookie costs $0.75

Step-by-step explanation:

The reason why C is $0.75 is because of ratios.

2:$1.5

2 divided by 2=1

2 divided by $1.50=$0.75

$0.75 per cookie

23+3/5r r=-1/2

Please help

Answers

Hey there!

If r = - 1/2 the substitute it into the question!

23 + 3/5(-1/2) = ?
3/5(-1/2) = -3/10 = ?
23 + (-3/10) = ?
Solve above and you have your answer!
Therefore, your answer is most likely: 227/10 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

At what interest rate will P20,000 accumulate to P26,080 in 8 years time?

Answers

Answer:

Rate of interest = 3.8%

Step-by-step explanation:

Given:

Initial amount p = 20,000

Final amount p + I = 26,080

Number of year t = 8 year

Find:

Rate of interest

Computation:

I = 26,080 - 20,000

I = 6,080

I = PRT

6,080 = (20,0000)(r)(8)

Rate of interest = 3.8%

Ken made $14,500 in five months at his new job. How much can he make in two years if his pay remains constant?

Answers

Answer:

$69,600

Step-by-step explanation:

Figure out how much Ken makes a month by dividing 14500/5.

This gives you $2900.

If Ken makes $2900 a month and there are 24 months in two years, multiply his monthly earnings by 24 months.

$2900 * 24 = $69,600

$69,600



Explanation:


First you would do 14500/5 to find out how much he made in one month.

14500/5=2900
Meaning they made $2900 per month so then to find out how much he would make in two years you would multiply it by 24 because two years is 24 months

2900*24= $69600

1 . What do you need to find ?
2. Write an equation to represent the problem?
3. What is the solution to the problem?

Answers

If you can explain more as to what you need to get for these questions I’d be glad to help

PLLLLEASSSSEEEEEW HELLLLLLLLPPPPPP

Answers

Answer:

21 i think

Step-by-step explanation:

to solve for the sine you have to look at the hypotenuse aka the opposite side.

Sorry I cannot solve for the Sin, I am a child of God, a brother to Jesus. I do not believe in sins, since I have never sinned in my life. I have been enlightened from the gods themselves. They taught me right from wrong and wrong from right. Anybody can be forgiven for their sins, such as now. Your sins are now forgiven by a higher being.

Zoe and Maria plan to hike at a rate of 3 miles per hour and canoe at a rate of 6 miles per hour. They want to travel no more than 8 hours and cover at least 40 miles in one day. Which system of inequalities models the situation?

Answers

Answer:

h + c ≤ 8

3h + 6c ≥ 40

where h is the number of hiking hours

c is the number of canoeing hours

Step-by-step explanation:

Here, we want to write a system of inequalities;

Let number of hiking hours be h and the number of canoeing hours be c

h + c ≤ 8

Covering at least 40 miles;

Recall;

distance = speed * time

for 3 miles, h hours, we have 3h miles

for 6 miles , c hours , we have 6c

At least 40 miles, inequality will be ;

3h + 6c ≥ 40

is 12/4 and 21/7 proportional?

Answers

Answer:

Yes

Step-by-step explanation:

12 ÷ 4 = 3

21 ÷ 7 = 3

3 = 3

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

tAnswer:

Step-by-step explanation:2+2= 4

5_5=0

How much would 110 commercial

Answers

Maybe reword your question again

Each individual letter in TENNESSEE is placed on
a piece of paper in a hat. If one letter is selected at
random from a hat, determine probability that:
15. Letter S is selected
16. A consonant is selected
17. Letter T or N is selected
18. The letter V is not selected
19. The letter W is selected
20. The letter S is not selected

Answers

15. 2/9
16. 5/9
17. 3/9
18. 9/9
19. 0/9
20. 7/9

NUMBER 3. (p^1/5)(p^7/12)^-2

Answers

Answer:

1

Step-by-step explanation:

upike 5 1/2 miles from your house to a skatepark you travel one half of that distance in the woods Buck along the bank of a stream for the last half of the woods on how many miles of your trip do you bike along the bank of the stream ​

Answers

Answer:

1

Step-by-step explanation:

hi how u doin

Step-by-step explanation:

A 6 ft tall person walks away from a 10 ft lamppost at a constant rate of 3 ft/s. What is the rate (in ft/s) that the tip of the shadow moves away from the pole when the person is 15 ft away from the pole

Answers

Answer:

12.5 ft/s

Explanation:

Height of person = 6 ft

height of lamp post = 10 ft

According to the question,

dx / dt = 5 ft/s

Let the rate of tip of the shadow moves away is dy/dt.

According to the diagram

10 / y = 6 / (y - x)

10 y - 10 x = 6 y

y = 2.5 x

Differentiate both sides with respect to t.

dy / dt = 2.5 dx / dt

dy / dt = 2.5 (5) = 12.5 ft /s

Solve 2x + 6 < 10 or 2x + 8 > 20.

Answers

Answer: is it graph

Step-by-step explanation:

Answer:

for the first equation x=0 or 1

the second equation x=7 and above.

Step-by-step explanation:

The first equation you just need a number that will keep the 2x+6 side less than 10. and the second equation you just need a number that will make the 2x+8 be greater than 20.

Simplify 4 ×[2+1(47−5)÷7]

Answers

Answer:

32

Step-by-step explanation:

Multiply 4[2+1(47-5)÷7]

Divide 4(2+42÷7)

Calculate 4(2+6)

Multiply 4*8

32

why do people purge or clean out their financial records instead of keeping every financial document they receive?​

Answers

They throw out the records they no longer need or seen unnecessary because they no longer see the importance of having it.

Answer:

They throw out the records they no longer need or seen unnecessary because they no longer see the importance of having it.

Step-by-step explanation:

a cashier at the grocery store rung up 2 customers in 8 minutes. at this rate how many customers can he ring up in 28 minutes?

Answers

Answer:

7  1/2 customers

Step-by-step explanation:

La edad es un dato cuantitativo o cualitativo

Answers

Los datos cuantitativos son datos que miden o calculan un algo para llegar a un punto en su investigación. Estos datos nos dicen a través de números una explicación para alguna tendencia o resultados de algún experimento.

Marcus corrió 5 millas en 45 minutos.

A. Calcula su tasa unitaria en millas por hora. (Redondea a la décima de milla más cercana)

B. Encuentre su tasa unitaria en millas por minuto. (Redondea a la décima de milla más cercana)

Answers

B is the right answer for the gaming

Frank bought 4.3×10^4 yards of carpet to install in the new house. His wife said "We needed 5,000 yards! You didn't buy enough!"

Who is correct, Frank or his wife? Demonstrate with math to show your answer.

Answers

Answer:

Frank is correct.

Step-by-step explanation:

To convert 4.3 x [tex]10^{4}[/tex] into regular notation I move the decimal 4 places to the right and get 43,000. This is way more than enough for the 5,000 yards needed for the carpet. So, Frank's wife is wrong about it not being enough.

Answer:

The husband is correct. They needed 5,000, and he brought 43000.

Step-by-step explanation:

4.3*(10^4)=43000

2 Solve the equation for t. Show your work.
5(2t - 3) – 7.5t = 0.5(12 – t)
PLEASEEEE HELP ME

Answers

Answer:

t = 7

Step-by-step explanation:

5(2t - 3) – 7.5t = 0.5(12 – t)

5*2t - 3*5 - 7.5t = 12*0.5 - t *0.5

10t - 15 - 7.5t = 6 - 0.5t           {Now, combine like terms}

10t - 7.5t - 15 = 6 - 0.5t

         2.5t -15 = 6 - 0.5t      {Add 15 to both sides}    

         2.5t      = 6 - 0.5t + 15

              2.5t = 21 - 0.5t       { Add 0.5t to both sides}

    2.5t + 0.5t = 21  

                 3t = 21     {Divide both sides by 3}

                   t = 21/3

t = 7

How much does kaylynn earn per week if she makes $8.75 per hour and works 37.5 hours?

Answers

Answer:

$328.12

Step-by-step explanation:

8.75X37.5

the answer is 328.125

How do I do this using long division . Please help!!

Answers

Answer:

Step-by-step explanation:

Ok, so the 3x^3 + 3x^2 + 5
————————-
x + 3
I don’t know if this is the correct answer. :/
Hope this helps :)
Btw, ask google ;)

A circular table top has a radius of 3 feet. A decorative trim is placed along
the outside edge of the table. How long is the trim?
6.28 feet
18.84 feet
12.56 feet
25.12 feet

Answers

Answer:

6.28

Step-by-step explanation:

I think it might be 6.28

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