someone pls help for brainliest :)

Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

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First off, we factor out the expression:

\( \displaystyle \large{y = 2 {x}^{2} - 12x + 16} \\ \displaystyle \large{y = 2 ( {x}^{2} - 6x + 8) }\)

In the bracket, separate 8 out of the expression.

\( \displaystyle \large{y = 2[ ( {x}^{2} - 6x + 8)] }\\ \displaystyle \large{y = 2[ ( {x}^{2} - 6x) + 8]}\)

In x^2-6x, find the third term that can make up or convert it to a perfect square form. The third term is 9 because:

\( \displaystyle \large{ {(x - 3)}^{2} = {x}^{2} - 6x + 9}\)

So we add +9 in x^2-6x.

\( \displaystyle \large{y = 2[ ( {x}^{2} - 6x + 9) + 8]}\)

Convert the expression in the small bracket to perfect square.

\( \displaystyle \large{y = 2[ {(x - 3)}^{2} + 8]}\)

Since we add +9 in the small bracket, we have to subtract 8 with 9 as well.

\( \displaystyle \large{y = 2[ {(x - 3)}^{2} + 8 - 9]} \\ \displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]}\)

Then we distribute 2 in.

\(\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ \)

\(\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ \displaystyle \large{y = [2 \times {(x - 3)}^{2} ]+[ 2 \times ( - 1)] } \\ \displaystyle \large{y = 2 {(x - 3)}^{2} - 2 }\)

Remember that negative multiply positive = negative.

Hence the vertex form is y = 2(x-3)^2-2 or first choice.

Answer:

Step-by-step explanation:

-6x + y  = -6                     Add 6x to both sides

y = 6x - 6                         So the slope of the new line is 6

The point the new line has to go through is (-4,0) That will determine b.

y = 6x - 6

x  = - 4

y = 0

0 = 6*(-4) + b                    Combine

0 = - 24 + b                      add 24 to both sides

24 = b  

Answer:  y = 6x + 24

Answer:

1,3

Step-by-step explanation:

If a coordinate point is at (4, 2) and is translated down 3 units and right 1 unit, what is its new coordinate point?

4-3=1

2+1=3

(1,3)

Answer: (-1,5)

Step-by-step explanation:

Answer:

8.333333333333333

Step-by-step explanation:

Answer:

25/3 - Or in a simpler form 8 1/3

Step-by-step explanation:

I multiplied 15 by 5/9. I hope this helps :)

Isabelle's age will be equal to x = 9 years.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Isabelle is 7 years old now. Her mother is 34 years old. how old will Isabelle be when her mother is 4 times as old as her

Let Isabell's age be x years

The equation will be given as:-

4x  =  ( 27  +  x )

4x  -  x  =   27

3x  =  27  

x   =  9  years.

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Answer:

22, and -22

Step-by-step explanation:

22x22=484

-22x(-22)=484

Answer:

D. 240

Step-by-step explanation:

6 types of backpacks = 6

4 types of binders = 4

5 types of pencils = 5

2 types of notebook paper= 2

6×4×5×2=

24×10=

240

The number of possible outcomes will be 240. The correct option is D.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that there are 6 types of backpacks, 4 types of binders, 5 types of pencils, and 2 types of notebook paper.

6 types of backpacks = 6

4 types of binders = 4

5 types of pencils = 5

2 types of notebook paper= 2

The number of possible outcomes will be calculated as:-

N = 6×4×5×2

N = 24×10

N = 240

Therefore, there will be 240 possible outcomes. The correct answer is D.

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The experimental variable is plotted on the x-axis in a graph, while the y-axis represents the dependent variable or the outcome being measured in response to changes in the independent variable.

In a graph, the experimental variable is typically plotted on the x-axis. The x-axis represents the independent variable, which is the factor being manipulated or controlled by the experimenter. This variable is often plotted horizontally along the bottom of the graph.

The y-axis, on the other hand, represents the dependent variable, which is the outcome or result that is measured or observed in response to changes in the independent variable. The y-axis is typically plotted vertically along the side of the graph.

The x-axis and y-axis together form a Cartesian coordinate system, with the x-axis representing the horizontal axis and the y-axis representing the vertical axis. This allows for the representation of the relationship between the independent and dependent variables in the form of a scatter plot, line graph, bar graph, or other types of graphs.

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Answer:

$104 For 8 Hours

Step-by-step explanation:

First figure out the rate for one hour. To figure this out divide $39 by 3. This equals $13. Which means it costs $13 to rent the surfboard for one hour. Finally multiply $13 by 8. This equals $104. Meaning it costs $104 to rent the surfboard for 8 hours.

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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Answer:

i'd say c.) and e.)

Step-by-step explanation:

......

The equation that represents the inverse function b(a) in this case is:

C. b(a) = 7

There are 14 members in the club, and there are 4 leadership positions. Each position can be filled by any of the 14 members, so there are 14 ways to fill the first position, 14 ways to fill the second position, and so on. However, we have overcounted because we have not taken into account that a member cannot serve in two positions simultaneously. To correct for this overcounting, we divide by the number of ways that a member can serve in two positions simultaneously, which is 1. Therefore, the total number of ways that the club leadership can be organized is:

14 * 14 * 14 * 14 / 1 = 14^4 = 20736 ways.

Answer:

The numbers; 19.0 , 19.00 and 19.000 are same value as the number 19

Step-by-step explanation:

Here in this question, we simply want to write decimals which would have same value as the number 19 when written.

Let’s start with 19.0

This is absolutely same value as the number 19

Furthermore let’s write 19.00

This is also same value as the number 19

Lastly;

19.000

This is same value as the number 19

Step-by-step explanation:

the perimeter of a rectangle is

2×length + 2×width =

2×(x + 10y) + 2×(7x² - x + 9y) =

2x + 20y + 14x² - 2x + 18y =

14x² + 38y

Corry's conjecture is right, and the volume follows a pattern

The volume of a cube of side length l is:

\(V = l^3\)

For the first cube of length 1 in, the volume is:

\(V = 1^3\)

\(V = 1\)

For the second cube of length 2 in, the volume is:

\(V = 2^3\)

\(V = 8\)

For the third cube of length 1 in, the volume is:

\(V = 3^3\)

\(V = 27\)

So, the total volume is:

\(Total =1 + 8 + 27\)

\(Total =36\)

The volume of a rectangular prism of base lengths 6 in and height 1 in is:

\(Volume = 6^2 \times 1\)

\(Volume = 36\)

Assume, he adds a cube of side length 4 in, the volume is:

\(V = 4^3\)

\(V = 64\)

The total volume would be:

\(V =36 + 64\)

\(V =100\)

The base length of the rectangular prism would be:

\(Length =1+2+3+4\)

\(Length =10\)

The volume of the rectangular prism would be:

\(Volume = 10^2 \times 1\)

\(Volume = 100\)

So, the pattern is:

Cubes                Volumes

1, 2, 3                    36

1, 2, 3,4                  100

Corry's conjecture is right, and the volume follows a pattern

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A parabola is the set of all points in a plane that are equidistant from both a point called the focus and a line called the: directrix

A parabola is a plane curve formed by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

A parabola is approximately U-shaped.

It is the graph of a quadratic function.

A fix point is called as the focus and a fixed straight line is the directrix of the parabola.

The fixed point does not lie on the fixed line. (i.e., the focus does not lie on the directrix of the parabola).

Therefore, A parabola is the set of all points in a plane that are equidistant from both a point called the focus and a line called the: directrix

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The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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Answer:

x= -2 , y = 4

then

R/ (-2)² - 8(4)

R/ 4-32

R/ -28

Step-by-step explanation:

Step-by-step explanation:

For a RIGHT triangle   Sin = opposite LEG / Hypotenuse

           sin x = 45/ 83

                 x = arcsin (45/83)  = use calculator = 32.8 degrees

The distance between the ships changing at 92.29 Knots

                              \(d(t) = \sqrt{(18t)^{2} + (40+17t)^{2} } \\\)

The rate of change of distance is -

                              \(\frac{dd}{dt} = \frac{36t + 2(40 + 17t)17}{2\sqrt{18t^{2} + (40 + 17t) } }\)

after putting t = 5 into this rate of change ,

we get, answer = 92.29

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The language (((00)∗(11))∪01)∗ can also be recognized by a finite automaton.

(a) The language L={w∈{0,1}∗∣n0​(w)=2,n1​(w)≤5} can be recognized by a finite automaton. Here's the formal specification and the state diagram:

Formal Specification:

Alphabet: {0, 1}

States: q₀, q₁, q₂, q₃, q₄, q₅, q₆, q₇, q₈, q₉

Start state: q0

Accept states: {q9}

Transition function: δ(q, a) = q', where q and q' are states and a is an input symbol (either 0 or 1)

State Diagram:

          0               0/0/0             0

    q₀ ---------------> q₁ --------------> q₂

    |                   |                   |

    | 1                 | 0                 | 1

    |                   |                   |

    V                   V                   V

0/0/0,1/1/1           0/0/0             0/0/0,1/1/1

q₃ ---------------> q₄ --------------> q₅ --------------> q₉

         1              1/1/1             1/1/1

          |                   |

          | 0                 | 0/0/0,1/1/1

          |                   |

          V                   V

      0/0/0,1/1/1         0/0/0,1/1/1

     q₆ --------------> q₇ --------------> q₈

          1                   1

The start state q₀ keeps track of the count of zeros and ones seen so far.

Transition from q₀ to q₁ occurs when the input is 0, incrementing the count of zeros.

Transition from q₁ to q₂ occurs when the input is 0, incrementing the count of zeros further.

Transition from q₁ to q₄ occurs when the input is 1, incrementing the count of ones.

Transition from q₂ to q₉ occurs when the count of zeros is 2, and the count of ones is at most 5.

Transition from q₄ to q₅ occurs when the count of ones is at most 5.

Transition from q₅ to q₉ occurs when the input is 1, incrementing the count of ones.

Transition from q₅ to q₆ occurs when the input is 0, resetting the count of zeros and ones.

Transition from q₆ to q₇ occurs when the input is 1, incrementing the count of ones.

Transition from q₇ to q₈ occurs when the input is 0, incrementing the count of zeros and ones.

Transition from q₈ to q₇ occurs when the input is 1, incrementing the count of ones further.

Transition from q₈ to q₉ occurs when the count of ones is at most 5.

Accept state q₉ represents the strings that satisfy the condition of having exactly two zeros and at most five ones.

(b) The language (((00)∗(11))∪01)∗ can also be recognized by a finite automaton. Here's the formal specification and the state diagram:

Formal Specification:

Alphabet: {0, 1}

States: q₀, q₁, q₂, q₃, q₄

Start state: q0

Accept states: {q₀, q₁, q₂, q₃, q₄}

Transition function: δ(q, a) = q', where q

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\( \large \mathcal{Answer}\)

A. Area of given figure = 280 + 77 = 357 cm²

B. length of semicircle = 22 cm

Answer:

7.171428571

Step-by-step explanation:

<3

Answer:

2

Step-by-step explanation:

All you have to do is measure the original BC side and then multipiply it by the scale factor to get 2

8*1/4=2

Answer:

l=30ft

h=10ft

Step-by-step explanation:

Area 'A' is defined as the product of length and height

\(A=lh=300ft^2\\h= \frac{1}{3} l\)

\(\\300=l( \frac{1}{3}l)\\300=\frac{1}{3} l^{2}\\900=l^{2}\\30=l\\l=30ft\\\\h= \frac{1}{3}(30)\\h=10ft\)

Thus,  the length and the height of the wall is 30 ft and 10 ft respectively.