How many different words can be formed with the letters AAAABBCCD (not necessarily meaningful words)?

Answers

Answer 1

Answer:

3780 different words

Step-by-step explanation:

The number of possible words that can be formed by a word with n letters is given by n! (factorial of n), but when we have repeated letters, we need to divide the result by the factorial of each number of repeated letters.

In this case, we have 9 letters, but we have 4 times A, 2 times B and 2 times C, so the formula to calculate the number of different words is:

[tex]number = {9!}/(4!2!2!)[/tex]

[tex]number = (9*8*7*6*5*4*3*2)/(4*3*2*2*2)[/tex]

[tex]number = 3780\ words[/tex]

So we can form 3780 different words.


Related Questions

25e + -6e_7 =
Whats the answer

Answers

Answer:

19e-7

Step-by-step explanation:

I am not sure if you meant to put -7 but I will assume that is it.

Remember combine like terms 25e substract -6e you get 19e and -7 stays the same.

Find the sum. Please

Answers

Answer:

  [tex]\dfrac{2y^2 +12y -8}{y^3-3y+2}[/tex]

Step-by-step explanation:

It usually works to factor the denominators, so you can determine the least common denominator.

  [tex]\dfrac{2y}{y^2-2y+1}+\dfrac{8}{y^2+y-2}=\dfrac{2y}{(y-1)^2}+\dfrac{8}{(y-1)(y+2)}\\\\=\dfrac{2y(y+2)}{(y-1)^2(y+2)}+\dfrac{8(y-1)}{(y-1)^2(y+2)}=\dfrac{2y^2+4y+8y-8}{(y-1)^2(y+2)}\\\\=\boxed{\dfrac{2y^2 +12y -8}{y^3-3y+2}}[/tex]

Which is the first step in simplifying 4(3x-2)+6x(2-1)

Answers

Answer:

4(3x-2)+6x(2x-1)

12x-8+12^2x-6x

12x-6x +12^2x-8

6x+12^2x-8

Answer:

the first step in simplifying 4(3x-2)+6x(2-1) is to do subtract 1 from 2 in the second set of parenthesis.  That will get you 4(3x-2)+6x(1)

The equation completely simplified is 18x-8

-look in the step-by-step explanation if you want to know all the steps to simplifyinh the equation

Step-by-step explanation:

Now if you want to know the rest here it is:

Then use the Distributive Property:

-distribute the 4 into (3x-2) to get 12x-8

-then distribut the 6x into (1) to get 6x

Your equation is now 12x-8+6x

Finally, add 12x and 6x to simplify the equation as much as you can

you get 18x-8 as you final, most simplified answer

Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas, for a total of 152 slices. How many pizzas did Manuel order? 15 20 30 40

Answers

Answer:

20 Pizza

Step-by-step explanation:

Let the number of vegetable pizza be x

Given that

Manuel ordered four times as many cheese pizzas as vegetable pizzas

the number of cheese pizza = 4x

1. no of slice in 1 vegetable pizza pie = 6

no of slice in x vegetable pizza pie = 6x

2. no of slice in 1 cheese pizza pie = 8

no of slice in 4x cheese pizza pie = 8*4x = 32x

Total no of slice for x vegetable pizza and 4x cheese pizza = 6x+32x = 38x

Given that

total no. of 152 slices, therefore

38x = 152

=> x = 152/38 = 4

Thus, no. of vegetable pizza ordered = 4

no. of cheese pizza ordered = 4x = 4*$ = 16

Total no of pizza ordered = 16+4 = 20 (answer)

Answer:

B

Step-by-step explanation:

2. How much interest is earned by investing $2100 for three years at 4.5% compounded
monthly?

Answers

Answer:

The final balance is $2,402.92.

The total compound interest is $302.92.

Step-by-step explanation:

A = P(1 + r/n)^{nt}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

A=2100(1+.045/12)^(3*12)

A=2100(1.00375)^(36)

A=2100*1.442478322

A=2402.92

gain of 302.92

7 + x - 15 = -2.67 solve for x

Answers

Answer:

5.33

Step-by-step explanation:

Move your numbers so that they're separate from the variables. You should now have x = -2.67 + 8; x = 5.33

Answer:

x=5.33

Step-by-step explanation:

7+x-15=-2.67

7-15+x=-2.67

Add 7 and -15

-8+x=-2.67

Add 8 on both sides

which equal to 5.33

x=5.33

I NEED HELP PLEASE, THANKS! :)

Answers

Answer:

  see below

Step-by-step explanation:

The coefficients are 19Cr for r from 0 to 19, as shown in the first and last choices. The sum of the powers of the factors is 19, as shown in the first and last choices. The only difference between the first and last choices is the order of terms in the sum. Both have the same total, and both are equivalent expansions of the given expression.

If you prefer the higher powers of m to appear first, then the last choice is appropriate.

PLSSSSSSS HELP WILL MARK BRAINLIEST Doug owns a lawn mowing and landscaping business. The income from the business is given by the function f(x) = 2x + 54, where f(x) is the income in dollars and x is the area in square meters of lawn mowed. If he has earned {204, 344, 450, 482} dollars in the last four months, what are the corresponding areas of lawn he mowed?

Answers

Answer:

i think this person answered but idrk perseusharrison79

Step-by-step explanation:

For 2 parallelograms, the corresponding side lengths are 1 inch and x inches, and 2 inches and 6 inches.

Not drawn to scale

StartFraction 1 over x EndFraction = StartFraction 2 over 6 EndFraction

StartFraction 1 over x EndFraction = StartFraction 6 over 2 EndFraction

StartFraction 1 over 6 EndFraction = StartFraction 2 over x EndFraction

One-half = StartFraction 6 over x EndFraction

Step-by-step explanation:

Which could be the side lengths of a triangle? (A) 2,2,4 (B) 3,4,7 (C) 4,5,8 (D) 5,5,10 (E) 7,3,10 PLEASE HELP

Answers

Answer:

(C) 4,5,8

Step-by-step explanation:

Since 4+5 = 9 and 9 is bigger than 8, that means that the side 8 can fit into the triangle without there being an open space.

Answer:

Option C { 4,5,8 }

Step-by-step explanation:

By the Triangle Inequality Theorem, the length of two sides together must be greater than the length of the remaining side. Respectively their difference must be less than the length of the another side.

* I like to memorize this concept by thinking about a door. The more you open the door, the greater the distance between the door and the wall - as they are proportional. That is how we concluded this theorem.

______

{ 2, 2, 4 } is our first option. The difference of 4 and 2 is equal to the remaining length, 2. { 3, 4, 7 } is not applicable as well, considering that the addition of 3 and 4 is equivalent to the length of the 3rd side, 7. However, the lengths { 4, 5,8 } have no such " errors. " It could be the side lengths of a possible triangle.

______

Solution = { 4,5,8 }

How many gallons of 20% moonshine and how many gallons of 30% moonshine have to be mixed together to make 100 gallons of 28% moonshine? x = gallons of 20% moonshine y = gallons of 30% moonshine​

Answers

Answer:

20 and 80

Step-by-step explanation:

x+y= 100

0.2x+0.3y= 0.28*100

0.2x+0.3*(100-x)= 280.2x- 0.3x +30= 280.1x= 2

x= 20y= 80

I travelled at 60km/h and took 2 hours for a certain journey. How long would it have taken me if I had travelled at 50km/h?​

Answers

Answer:

2 hours and 24 minutes

Step-by-step explanation:

2 hours at 60 km/h means you have travelled 2*60=120 km

120 km at 50 km/h takes 120/50 = 2.4 hours

2.4 hours is 2 hours and 0.4*60 = 24 minutes.

In triangle ΔABC, ∠C is a right angle and CD is the altitude to AB . Find the measures of the angles of the ΔCBD and ΔCAD if: Chapter Reference a m∠A = 20°

Answers

Answer:

1. ∆CBD:      ∠B = 70°; ∠BCD = 20°; ∠ BDC = 90°

2. ∆CDA: ∠ACD = 70°;      ∠A = 20°; ∠ ADC = 90°

Step-by-step explanation:

1. ∆DBC

In ∆ABC

 ∠A + ∠B + ∠C = 180°

20° + ∠B + 90 ° = 180°

         ∠B + 110 ° = 180°

      ∠DBC = ∠B =  70°

In ∆CBD

                      ∠BDC =  90°

∠B + ∠BCD + ∠CBD = 180°

  70° + ∠BCD + 90 ° = 180°

           ∠BCD + 160° = 180°

                        BCD =   20°

2. ∆CAD

∠A + ∠ACD + ∠ADC = 180°

   20° + ∠ACD + 90° = 180°

            ∠ACD + 110° = 180°

                      ∠ACD =   70°

What is the product of 6 and one-half and 9 and one-fourth?

Answers

Answer:

60.125 or 60.13 when rounded to the nearest tenths.

Step-by-step explanation:

6 and one-half into a mixed number is 13/2

9 and one-forth into a mixed number is 37/4

13 x 37 = 481 divided by 8

2      4

When you divide 481 by 8 = 60.125 or 60.13 when rounded to the nearest tenths

I really hope this helps.

Which is the graph of the equation v- 1 = (-3)?

Answers

Step-by-step explanation:

The equation is v-1 = -3

V-1 = -3               add one in both sides v -1 +1 = -3+1 v = -2

Here is the graph :

Simplify the expression. 641/3

Answers

Answer:213.7

Step-by-step explanation:

Write the numbers in scientific notation.
8. 5,100,000
9. .00000698
10. 3.000052
Write the numbers in standard form.
11. 6.548 x 10-3
12. 5.854 x 10' 58.54
13. 2.25 x 106​

Answers

Answer:

8)5.1*10⁶

9)6.98*10 to the power of -6

10) 3.000052*10⁰

11)0.006548

Need some help on this whole unit to be honest but any help with this one ?

Answers

answer:

i believe they all are identical

Step-by-step explanation:

i used a website called desmos graphing calculator and typed each one out and this is what it looked like

1. Find the value of x
37.5
17
52.5
a. 39.5
b. 75
c. 40
d. 42.5

Answers

Answer:

d

Step-by-step explanation:

The segment inside the triangle bisects the angle and divides the opposite sides into segments that are proportional to the other two sides, that is

[tex]\frac{x}{17}[/tex] = [tex]\frac{37.5}{52.5-37.5}[/tex] = [tex]\frac{37.5}{15}[/tex] ( cross- multiply )

15x = 637.5 ( divide both sides by 15 )

x = 42.5 → d

Jenna worked 13 hours more than Jose last month. If Jenna worked 9 hours for every 4 hours that Jose worked, how many hours did they each work?

Answers

did they work every day out the month or ?

How many palindromes of length 5 can you form using letters with the following properties: they start with a consonant, and the consonants and vowels alternate; no letter appears more than twice. (Note: assume letters "a", "e", "i", "o", and "u" are the vowels of the English alphabet).

Answers

Answer:

  2100

Step-by-step explanation:

There are 21 consonants that can serve as the first and last letters. There are 5 vowels that can serve as the 2nd and 4th letters. There are 20 remaining consonants that can serve as the 3rd letter. (The same consonant cannot appear in all three places.)

So, the total number of 5-letter palindromes that start with a consonant and alternate with a vowel will be ...

  21×5×20 = 2100 . . . different palindromes

2100 palindromes of length 5 can you form using letters.

What is palindrome?

A palindrome is a word, number, phrase, or other sequence of characters which reads the same backward as forward, such as madam or racecar.

As, there are 21 consonants that can be the first and last letter.

and, there 5 vowels that be the second and fourth letter .

lastly, the 20 remaining consonants that can be the 3rd letter.

So, the total number of 5-letter palindromes will be,

= 21×5×20

= 2100

Learn more about palindrome here:

https://brainly.com/question/19052372

#SPJ2

The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010. Use the statistics calculator to calculate the mean and median. Round the answers to the nearest hundredth

Answers

Answer:

Table needed to help

Step-by-step explanation:

Mean vs Median

The mean (informally, the “average“) is found by adding all of the numbers together and dividing by the number of items in the set: 10 + 10 + 20 + 40 + 70 / 5 = 30.

The median is found by ordering the set from lowest to highest and finding the exact middle. The median is just the middle number: 20.

please answer someone

Answers

Answer:

answer C

Step-by-step explanation:

hello

set A is [tex]10^x[/tex]

set B is 1000+50(x-1)

so set A is an exponential function and the values increase at a faster rate than set B

hope this helps

Write rational numbers between 1 and 2.​

Answers

Answer:

there are infinite numbers some are ,1.1, 1.2, 1.3, 1.4 , 1.5 ,1.6, etc..

It is believed that 11% of all Americans are left-handed. In a random sample of 100 students from a particular college with 10123 students, 14 were left-handed. Find a 98% confidence interval for the percentage of all students at this particular college who are left-handed.

Answers

Answer:

Step-by-step explanation:

We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'

Where p' = 14/100= 0.14 (no of left handed sample promotion)

q' = 1-p' = 1-0.14= 0.86

Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326

Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)

= -2.186√0.00325

= -2.186*0.057

= 12.46%

Using p' + z alpha √(p'q'/n)

0.14+2.326√(0.14*0.86/100)

= 0.466*0.057

= 26.5%

Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.

Which one of the following groups of numbers includins all prime numbers? a)2,3,5 b)7,17,63,67 c)3,11,63,67 d)1,3,11,23

Answers

Answer:

a) 2, 3, 5

Step-by-step explanation:

2, 3, 5

All numbers are prime.

7, 17, 63, 67

63 is not a prime number.

3, 11, 63, 67

63 is not a prime number.

1, 3, 11, 23

1 is not a prime number.

Evaluate the geometric series or state that it diverges.

[infinity]
Σ e^-5n
n=0

Answers

Answer:

sum = = 1 / ( 1-e^(-5) )

( 1.00678   to 5 decimals)

Step-by-step explanation:

Question: sum

[infinity]

Σ e^-5n

n=0

We note that this is a geometric series,

with n=0, e^(-5n) = e^0 = 1

with n=1, e^(-5n) = e^(-5)

with n=2, e^(-5n) = e^(-10)

...

Therefore the common ratio is r=e^(-5)

and the sum for a geometric series

a+ar+ar^2 + ... ar^N

=a(1-r^(N+1)) / (1-r)

=1(1-r^(infinity-1)) / (1-e^(-5))

= 1 / ( 1-e^(-5) )

Simplify.
35 - (42 + 5)

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

-12

▹ Step-by-Step Explanation

35 - (42 + 5)

35 - 47 = -12

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Hello!

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

35 - (42 + 5) =

-12

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

Step-by-step explanation: Simplify the expression.

Hope this helped you! Brainliest would be nice. ❤︎

A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanying data (from "Engineering Properties of Soil," Soil Science, 1998: 93–102).1.10 5.09 0.97 1.59 4.60 0.32 0.55 1.450.14 4.47 1.20 3.50 5.02 4.67 5.22 2.693.98 3.17 3.03 2.21 0.69 4.47 3.31 1.170.76 1.17 1.57 2.62 1.66 2.05The values of the sample mean, sample standard deviation,and (estimated) standard error of the mean are2.481, 1.616, and .295, respectively. Does this data suggestthat the true average percentage of organic matterin such soil is something other than 3%? Carry out atest of the appropriate hypotheses at significance level.10. Would your conclusion be different if a 5 .05 hadbeen used? [Note: A normal probability plot of the datashows an acceptable pattern in light of the reasonablylarge sample size.]

Answers

Answer:

We conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

We conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

Step-by-step explanation:

We are given a random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen;

1.10, 5.09, 0.97, 1.59, 4.60, 0.32, 0.55, 1.45, 0.14, 4.47, 1.20, 3.50, 5.02, 4.67, 5.22, 2.69, 3.98, 3.17, 3.03, 2.21, 0.69, 4.47, 3.31, 1.17, 0.76, 1.17, 1.57, 2.62, 1.66, 2.05.

Let [tex]\mu[/tex] = true average percentage of organic matter

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 3%      {means that the true average percentage of organic matter in such soil is 3%}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu \neq[/tex] 3%      {means that the true average percentage of organic matter in such soil is something other than 3%}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                         T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean percentage of organic matter = 2.481%

             s = sample standard deviation = 1.616%

            n = sample of soil specimens = 30

So, the test statistics =  [tex]\frac{2.481-3}{\frac{1.616}{\sqrt{30} } }[/tex]  ~ [tex]t_2_9[/tex]

                                     =  -1.76

The value of t-test statistics is -1.76.

(a) Now, at 10% level of significance the t table gives a critical value of -1.699 and 1.699 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics doesn't lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

(b) Now, at 5% level of significance the t table gives a critical value of -2.045 and 2.045 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

By about how much will f (x comma y comma z )equalsln StartRoot x squared plus y squared plus z squared EndRoot change if the point Upper P (x comma y comma z )moves from Upper P 0 (6 comma 4 comma 12 )a distance of dsequals0.1 unit in the direction of 3 Bold i plus 6 Bold j minus 2 Bold k​?

Answers

Answer:

pls format

Step-by-step explanation:

Is the sequence arithmetic? If so, how do you know? Given the sequence: 20, 26, 32, 38, . . .

Answers

Answer:

yes

Step-by-step explanation:

it is

because difference between each two consecutive terms are equal

26-20=32-26=38-32

for the formula:

20 is the first term.

6 is the difference between each two consecutive terms

so:

[tex]y = 6(x - 1) + 20 \\ y = 6x + 14[/tex]

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