Divide four people into three rooms, in which only one room could host two people. How many ways are there to arrange them so that A, B are not in the same room

Answers

Answer 1

Step-by-step explanation:

AC B D

AD B C

A BC D

A BD C

hope it's right


Related Questions

Give the domain and range.
-3 0 3 у -6 0 6.

a. domain: {-3, 0, 3), range: 2-6, 0, 6)
b. domain: {-6, 0, 6), range: {-3, 0, 3}
c. domain: {3, 0, 3), range: {6, 0, 6}
d. domain: {6,0, 6), range: {3, 0,3}​

Answers

Answer:

The domain: {-3, 0, 3}

The range: {-6, 0, 6}

Therefore, option (a) is correct.

Step-by-step explanation:

Given the table

x    -3      0      3

y     -6     0      6

Determining the Domain:

We know that the domain of a relation is the set of all the x-values of the set X. In other words, the domain of relation consists of all the input values.

Therefore, the domain: {-3, 0, 3}

Determining the Range:

We know that the range of a relation is the set of all the y-values of the set Y. In other words, the range of relation includes all the output values.

Therefore, the range: {-6, 0, 6}

Therefore, we conclude that option (a) is correct.


Solve each system of equations by elimination.
y= -x+1 y=4x-14



By ELIMINATION

Answers

The answer is:
x=3, y= -2
(3,-2)

Answer:

X=3, y=-2

Step-by-step explanation:

F(2)=?
Find it please

Answers

Answer:

- 2

Step-by-step explanation:

f(2) = - 2

Sum of the Interior angles of a 32-gon​

Answers

Answer: 5,400 degrees

Step-by-step explanation:

Answer:

In geometry, a triacontadigon (or triacontakaidigon) or 32-gon is a thirty-two-sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon's interior angles is 5400 degrees.

Internal angle (degrees): 168.75°

Dual polygon: Self

Symmetry group: Dihedral (D32), order 2×32

Step-by-step explanation:

Your welcome!!!❤

Watch help video
In an all boys school, the heights of the student body are normally distributed with a
mean of 69 inches and a standard deviation of 2.5 inches. Using the empirical rule,
what percentage of the boys are between 61.5 and 76.5 inches tall?

Answers

Answer:

99.7%

Step-by-step explanation:

99.7% of boys fall between 61.5 and 76.5

The percentage of the boys that are between 61.5 and 76.5 inches tall is 99.73%

How to determine the percentage between the range?

The given parameters are:

Mean = 69Standard deviation = 2.5

Start by calculating the z score for x = 61.5 and 76.5 using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z_1 = \frac{61.5 - 69}{2.5} = -3[/tex]

[tex]z_2 = \frac{76.5 - 69}{2.5} = 3[/tex]

The percentage is then represented as:

Percentage = P(-3 < x < 3)

Using the z table of probabilities, we have:

Percentage = 0.9973


Express as percentage

Percentage = 99.73%

Hence, 99.73% of the boys are between 61.5 and 76.5 inches tall

Read more about normal distribution at:

https://brainly.com/question/4079902

#SPJ9

Simplefly the problem 1/2x/45>61

Answers

Answer:

x>5490

x

​​ >61

x>61×90

x>5490

What inequality symbol does "at least" correspond to?

A. less than
B. less than or equal to
C. greater than
D. greater than or equal to

Answers

Answer:

C, if someone else gets the same answer as me then its right

Step-by-step explanation:

Hello,
2x+1=x(2+0)
True or false???????

Answers

Answer:

false right

Step-by-step explanation:

I am an odd number that is less than 10 and is not the number of sides on a triangle.I can be divided by three what number am I?

Answers

Answer:

I think that it would be 9 because it is less than ten and can be divided equally by 3.

Step-by-step explanation:

Divide 25000 in the ratio 2:3:5

Pls answer this question
It is reaaaallyy imp

Will mark as brainliest

Answers

Let the parts be 2x, 3x and 5x.

Sum= 25000

Therefore,2x+3x+5x=25000

10x=25000

x=25000/10

x=2500

Therefore, parts:-

1. 2×2500=5000

2. 3×2500=7500

3. 5×2500=12500

Answer:

5000, 7500, 12500

Step-by-step explanation:

[tex]2 + 3 + 5 = 10[/tex]

[tex]25000[/tex] ÷ [tex]10[/tex] = [tex]2500[/tex]

[tex]2500[/tex] × [tex]2 = 5000[/tex]

[tex]2500[/tex] × [tex]3 = 7500[/tex]

[tex]2500[/tex] × [tex]5 = 12500[/tex]

[tex]\therefore[/tex] [tex]25000[/tex] will split into [tex]5000[/tex], [tex]7500[/tex], and [tex]12500[/tex].

To check if the answer is correct, you can add the values up and see if they sum up to [tex]25000[/tex]:

[tex]5000 + 7500 + 12500 = 25000[/tex]

Hope this helps :)

Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in
descending powers of x.
(8x + 3)(4x + 7)

Answers

Answer:

32x^2+68x+21

Step-by-step explanation:

Answer:

32x^2+68x+21

Step-by-step explanation:

This is right just did this!!

Type the correct answer in the box.
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is
°.

Answers

Correct question is;

Type the correct answer in the box bellow: If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is ...........

Answer:

x = 35°

Step-by-step explanation:

We are told that;

cos x = sin(20 + x)°

and 0° < x < 90°

From trigonometric identities, we know that;

cos x = sin (90 - x)

Applying to our question gives;

sin (90 - x) = sin (20 + x)°

Comparing both sides, we have;

90 - x = 20 + x

Rearranging;

90 - 20 = x + x

70 = 2x

x = 70/2

x = 35°

A polynomial function has x-intercepts at -2, 1/2, and 2 and a relative maximum at x = -1.
Which graph matches the description of this function?

Answers

Answer: A :)

Step-by-step explanation:

The function goes through -2, 1/2, and 2, maximum goes through x= -1

By using the information about the x-intercepts and the relative maximum, we can see that the correct option is A.

How to find the correct graph of the polynomial?

First, we know that we have a relative maximum at x = -1, this means that we have a "mountain" at x = -1.

The only two graphs with that feature are A and B.

Now we also know that the x-intercepts are:

-2, 1/2, and 2.

Where the x-intercepts are the values of x at which the graph intercepts the x-axis. There you can see that we have one negative and two positives, from that, we can conclude that the only correct option can be A (because B has two negatives and one positive x-intercepts).

Finally, we conclude that the correct option is A.

If you want to learn more about polynomials, you can read:

https://brainly.com/question/4142886

3r + 6y - 2z = -6 2x + y + 4z = 19 -5x - 2y+8z = 62
solve each system of equations​

Answers

For the first equation

what is the inverse function of f(x) = 4x - 1

Answers

Answer:

[tex]f(x) = \frac{x + 1}{4}[/tex]

Step-by-step explanation:

To inverse the function switch the places of x and y like this:

x = 4y - 1

Now, solve for y:

[tex]x + 1 = 4y\\\frac{x + 1}{4} = y[/tex]

It's that easy!

I hope this helps!!

- Kay :)

The price of a 7 ​-minute phone call is ​$1.75. What is the price of a 14 ​-minute phone​ call?

Answers

Answer:

$3.50

Step-by-step explanation:

14 is double 7

So the price should be double

1.75 x 2 = 3.5

(Assuming there's no base fee and the charge is purely for minutes)

In a random survey of 50 students at Great Middle school,32 said chocolate was their favorite flavor of yogurt.The school has 450 students.How many of them are likely to select chocolate as their favorite flavor?

Answers

Answer:

288 I think

Step-by-step explanation:

450 divided by 50 is 9

9 times 32 is 288

I might be wrong

just in case

sorry!

This is finding exact values of sin theta/2 and tan theta/2. I’m really confused and now don’t have a clue on how to do this, please help

Answers

First,

tan(θ) = sin(θ) / cos(θ)

and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)

Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.

Now recall the half-angle identities,

cos²(θ/2) = (1 + cos(θ)) / 2

sin²(θ/2) = (1 - cos(θ)) / 2

and taking the positive square roots, we have

cos(θ/2) = √[(1 + cos(θ)) / 2]

sin(θ/2) = √[(1 - cos(θ)) / 2]

Then

tan(θ/2) = sin(θ/2) / cos(θ/2) = √[(1 - cos(θ)) / (1 + cos(θ))]

Notice how we don't need sin(θ) ?

Now, recall the Pythagorean identity:

cos²(θ) + sin²(θ) = 1

Dividing both sides by cos²(θ) gives

1 + tan²(θ) = 1/cos²(θ)

We know cos(θ) is negative, so solve for cos²(θ) and take the negative square root.

cos²(θ) = 1/(1 + tan²(θ))

cos(θ) = - 1/√[1 + tan²(θ)]

Plug in tan(θ) = - 12/5 and solve for cos(θ) :

cos(θ) = - 1/√[1 + (-12/5)²] = - 5/13

Finally, solve for sin(θ/2) and tan(θ/2) :

sin(θ/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)

tan(θ/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2

The Black Panther looks for Vibranium to put in his spear.He spends 3/5 of an hour searching.Over 4 days,about how many hours does he search for gemstones

Answers

Answer:

RIP chadwick

Step-by-step explanation:

Twelve hours because he’s a fast panther

Write numbers to make each line have the same sum

Answers

Answer:

There is nothing here?

Step-by-step explanation:

Help on this one please

Answers

Hope this might help

Find the value of x in the triangle shown below.
X
5
6

Answers

Answer:

C. x = √61

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 6

Leg b = 5

Hypotenuse c = x

Step 3: Solve for x

Substitute:                    6² + 5² = x²Exponents:                   36 + 25 = x²Add:                              61 = x²Isolate x:                       √61 = xRewrite:                        x = √61

Answer: 61

Step-by-step explanation:

25+36=x

61=x

x=61

Plz plz plz plz help me out

Answers

Answer: 60

Step-by-step explanation:

you can see here that 1 van can hold 12 people. so, if you just multiply that number by 5, then you can see how many fit into 5 vans.

Answer:

60 passengers.

Step-by-step explanation:

From the table, you'ld realise that it is in a sequence of (12), that is 1×12=12, 2×12=24, therefore, the number of passengers that can be transported in 5 vans are 5×12= 60 passengers.

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