In how many ways can 7 people be seated in a row of chairs if two of the people, Wilma and Paul, refuse to sit next to each other

Answer:

A                                                                          

Step-by-step explanation:

The equation of line is y = ( 1/4 )x , with slope m = 1/4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 0 )

Let the second point be Q ( 8 , 2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - 0 ) / ( 8 - 0 )

Slope m = 2/8 = 1/4

Now , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 0 = ( 1/4 ) ( x - 0 )

y = ( 1/4 )x

Hence , the equation of line is y = ( 1/4 )x

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11/12 of the garden is occupied by broccoli and peppers. Therefore, 11 /12 of the garden has vegetable growing in it.

We know that 1/4 of the garden has broccoli and 2/3 of the garden has peppers, Therefore, let's add up those two fractions to find out how much of the whole garden that has broccoli and peppers.

Therefore,

1/ 4 + 2 / 3 = ?

The denominator needs to be the same. Therefore,

1/4 × 3/ 3 = 3 / 12

2/3 × 4 /4 = 8 / 12

Hence,

3 / 12 + 8 / 12 = 11 / 12

11/12 of the garden is occupied by broccoli and peppers. Therefore, 11 /12 of the garden has vegetable growing in it.

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Answer:

  -2, -1, -1, 1/3

Step-by-step explanation:

A graphing calculator can find the real roots of a polynomial pretty easily. The attached graph of this function shows its zeros to be ...

  -2, -1, -1, 1/3

__

The rational root theorem tells you that rational roots will be from the set ...

  {±1/3, ±2/3, ±1, ±2}

Descarte's rule of signs tells you there will be 1 positive real root. The sum of coefficients is 24 (a relatively large positive number), so it is certain the positive root will be less than 1.

The sum of coefficients of odd-degree terms (11+1) is equal to the sum of coefficients of even-degree terms (3+11-2), telling you that -1 is a root. Synthetic division gives the cubic factor as 3x³ +8x² +3x -2, which has the same characteristics as the original quartic. That is, there is one positive real root, and -1 is a root of the cubic (hence a double root of f(x)).

Another round of synthetic division reveals the quadratic factor to be 3x² +5x -2, which can be factored as (x +2)(3x -1) to reveal the remaining roots.

Step-by-step explanation:

[tex] = 6 \times \frac{4}{15} \\ [/tex]

[tex] = \frac{6}{1} \times \frac{4}{15} \\ [/tex]

[tex] = \frac{24}{15} \\ [/tex]

Change into lowest term ....

[tex] = \frac{8}{5} \\ [/tex]

Change into mixed....

[tex] = 1 \ \frac{3}{5} \\ [/tex]

Population size: 8

Median: 19

Minimum: 11

Maximum: 28

First quartile: 13.25

Third quartile: 23.75

Interquartile Range: 10.5

Outliers: none

- Attached image is the box and whisker plot

Answer:

(1) (4x - 5y)(4x + 5y)

Step-by-step explanation:

Question 42

Answer:

(1)  (4x - 5y)(4x + 5y)

Step-by-step explanation:

Difference of Two Squares:   [tex]a^2-b^2=(a-b)(a+b)[/tex]

Therefore, we can use The Difference of Two Squares to factor this expression quickly.

Given expression:  [tex]16x^2-25y^2[/tex]

[tex]16=4^2 \implies 16x^2=4x \cdot 4x=(4x)^2[/tex]

[tex]25=5^2 \implies 25y^2=5y \cdot 5y=(5y)^2[/tex]

Therefore:

[tex]16x^2-25y^2=(4x)^2-(5y)^2[/tex]

Using The Difference of Two Squares:

[tex](4x)^2-(5y)^2=(4x-5y)(4x+5y)[/tex]

Answer:

33.6

Step-by-step explanation:

this is a circle

so

the area of a circle = pi x radius squared(since it's a 2-D shape)

but this is 3-D

so

V = 2664.31 = (4/3)([tex]\pi[/tex][tex]r^{3}[/tex])

you could also use

A = ³√(36 * π * V²) when A is the surface area

but those are too long, so let us just use the answer choices

V = 3.14 x answer choice x radius sqaured

V = 3.14 x 8.6 x radius sqaured

2664.31 = 3.14 x 8.6 x radius sqaured

radius sqaured =  2664.31/3.14 x 8.6

radius sqaured =  2664.31/27.004

radius sqaured can't be made with this

lets skip V

radius sqaured =  2664.31/3.14 x 17.2

radius sqaured = 2664.31/54.008

since 27.004 didn't work, and 54.008 is 2 times as that

radius sqaured = 2664.31/3,14 x 33.6

radius sqaured =  2664.31/105.504 ≈ 25

25 square rooted is 5

so

33.6

Answer:

3.

Step-by-step explanation:

Answer: the square root of 54 x IDC x i don't even want to help x haha no help for you x points for me not you

Step-by-step explanation:

Answer:  B) Rotation

Explanation:

The preimage has been rotated 180 degrees to land on the image.

Proof of this is to note that a point like (2,2) maps to (-2,-2)

The 180 degree rotation rule is [tex](x,y) \to (-x,-y)[/tex]. We flip the signs of each coordinate.

You can accomplish the same thing with two reflections: one over the x axis and the other over the y axis. However, a rotation is more direct.

Answer:

infinitely many solution

Step-by-step explanation:

-8x + 8x + 7 = 7

7 = 7

Answer:

Add 7 cubes to the big square and 1 cube to the three square strip on the bottom of the big square in Step 3

Sorry if the answer is unclear, I tried my hardest to explain it properly. Please tell me if it's right, and if it is, I would appreciate a Brainliest.

(I added an image of what the answer might be)

The pattern

For top

For beneath

Look

for 1 there is 1

for 2 there is 2²=4

for 3 there is 3²=9

So for 4

Answer:

$977.20

Step-by-step explanation:

We will use the compound interest formula to solve this: A = P(1 + R) ^ T

Using this formula we plug-in the values that we already have:

A = 880(1 + .0525) ^ 2

Now if we solve this, we end up with 977.20. That is your answer.

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

Explanation:

The point (9,8) is in the original set of ordered pairs.

We cannot include (9,-8) since x = 9 is already listed. We can't have repeated x values. If x repeats, then we don't have a function.

This rules out choice A.

Choices B and D are eliminated for similar reasoning.

Choice C can be included because x = -9 hasn't been mentioned yet.

Note: A function is when any given x value leads to exactly one y value.

Answer:

Its A

Step-by-step explanation:

Its A

Answer:

The answer is B

Please read the explanation... it always helps!!!

Step-by-step explanation:

All of the choices ask for difference.... it really helps when you draw a number line to solve these types of questions....

but for B you will need to imagine a compass..

alrighty for option B lets examine why it is correct....

Imagine you were standing on a dot (lol)

you walked 1.5 steps to the left  <--

then you walked 1.5 steps to the right -->

you can see that you walked in opposite directions and in the end you will be back where you started (aka on the dot, still lol)

meaning the displacement is zero

that is why option B is correct

i really hope this isn't confusing and it helps!!!

Answer:

Step-by-step explanation:

The height of the square-based pyramid is 3.5 in.

The volume of the square-based pyramid is the product of the base area multiplied by one-third of the height of the square-based pyramid.

Mathematically;

[tex]\mathbf{V = a \times \dfrac{1}{3}h}[/tex]

[tex]\mathbf{V = a \times \dfrac{h}{3}}[/tex]

Given that:

[tex]\mathbf{10.5 = 9 \times \dfrac{h}{3}}[/tex]

[tex]\mathbf{10.5 =3\times h}[/tex]

[tex]\mathbf{h = \dfrac{10.5}{3}}[/tex]

h = 3.5 in

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Answer:

3.5 or third option

Step-by-step explanation:

I got it right on edge

Answer: 10 teams is the answers

Answer:

2.5 lbs of apples for $3.25

Step-by-step explanation:

16 oz in one pound, 2.5 pounds is 40 oz. 40 oz is bigger than 35 and it costs less.

Answer:

the best answer is B

commending, is the act of praise or approval

C

Answer:

Why because u and the person sharing room, he or she is not slave to you. he or she do 50 percent and you 50 percent to keep peace in the room. steps why if the person say they are moving out then in that case who will clean the room

Answer:

47) A
48) C

Step-by-step explanation:

Mode 13 and 17 : most appeared

Mode 1 : most appeared
Calculate the average : 8.6 ~ 9

Answer:

x² + y² = 9

Explanation:

circle formula: (x -h)² + (y - k)² = r²

where (h, k) is the center, r is radius

Here given for center: (0, 0)

Identify

Equation of circle:

Answer: C. 20 inches

Step-by-step explanation:

perimeter= 2 x (4+6)=20 inches

The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)

The coordinates of RST are given as:

R = (5,15)

S = (15,15)

T = (10,5)

The rule of 90° counterclockwise around the origin is:

(x,y) -> (-y,x)

So, we have:

R' = (-15,5)

S' = (-15,15)

T' = (-5,10)

Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)

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Answer:

1- 4.5

2- 7/2 (3.5)

3- 8

Step-by-step explanation:

Answer:

0.43 meters per second

Step-by-step explanation:

12/28