three young brother-sister pairs from different families need to take a trip in a van. these six children will occupy the second and third rows in the van, each of which has three seats. to avoid disruptions, siblings may not sit right next to each other in the same row, and no child may sit directly in front of his or her sibling. how many seating arrangements are possible for this trip?

The values of f(2), f(4) and f(-3) for the function, f(x) = [tex]x^{2} -3x-4[/tex], are -6, 0 and 14 respectively.

According to the question,

We have the following information:

f(x) = [tex]x^{2} -3x-4[/tex]

Now, to find the values of each function we will put the values in place of x.

We will find the value of f(2) by putting 2 in place of x.

f(2) = [tex](2)^{2} -3(2)-4[/tex]

f(2) = 4-6-4

f(2) = -2-4

f(2) = -6

(We know that the numbers with negative sign are added but the result always remains in negative.)

We will find the value of f(4) by putting 4 in place of x:

f(4) = [tex](4)^{2} -3(4)-4[/tex]

f(4) = 16-12-4

f(4) = 4-4

f(4) = 0

Now, we will find the value of f(-3) by putting -3 in place of x:

f(-3) = [tex](-3)^{2} -3(-3)-4[/tex]

f(-3) = 9+9-4

f(-3) = 18-4

f(-3) = 14

Hence, the values of f(2), f(4) and f(-3) are -6, 0 and 14 respectively.

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3 years

The given function representing the population of alligators is:

Find the intial population at t = 0

The population will double when:

P(t) = 319 x 2

P(t) = 638

The doubling time is the value of t at which P(t) = 638

The population will double after 3 years.

Therefore, the doubling-time for this population of alligators is 3 years

Answer:

a. 11

Step-by-step explanation:

What is the mode of the following numbers?

12, 11, 14, 10, 8, 13, 11, 9

a. 11

b. 10

C. 14

d. 8

the mode is 11 because it is the most frequent number in the list.

The percent of the people surveyed were completely satisfied with the car is 55%.

Number of people completely satisfied = 1155

Number of people somewhat satisfied = 755

Number of people not satisfied = 190

Total number of people = 1155 + 755 + 190 = 2100

Therefore, the percent of the people surveyed were completely satisfied with the car will be:

= Number of people completely satisfied / Total number of people × 100

= 1155 / 2100 × 100

= 55%

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Based on the dimensions of the shape, the area of the figure can be found to be 215 ft².

To find the area of the figure, you can divide the shape into two different shapes and then find the area of those shapes, and then sum them up to find the area of the entire figure.

As shown in the attached photo, you can divide the figure into two rectangles with the dimensions:

The areas are:

= 15 x 12

= 180 ft²

Second rectangle:

= 7 x 5

= 35ft²

The area of the figure is:

= 35 + 180

= 215 ft²

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We have the polynomial:

We have to factorize it.

We know that 216 is the cube of 6.

We then applied the property for the difference of cubes.

The answer is Option C.

Difference of cubes property:

x^3-y^3 = (x-y)(x^2+xy+y^2)

x=3

Answer:

C = 2 \pi r

Step-by-step explanation:

Answer:

Go ahead and color the nose red!

The solution is
[tex]y = \dfrac{n-9}{x}[/tex]

Step-by-step explanation:

[tex]\text{We have: }\\\\[/tex]

[tex]\rightarrow\; \dfrac{x}{y} + 9 = n\\\\\\\text{Subtract 9 from both sides:}\\\\\rightarrow\;\dfrac{x}{y} + 9 - 9 = n - 9\\\\[/tex]

[tex]\rightarrow\;\dfrac{x}{y} = n - 9\\\\[/tex]

Multiply both sides by y:

[tex]\rightarrow\; y \cdot \dfrac{x}{y} = y (n-9)\\\\\rightarrow\; x = y(n-9)\\\\\\[/tex]

[tex]\text{Divide both sides by (n-9)}:\\\\\\\rightarrow\; \dfrac{x}{n-9} = \dfrac{y (n-9)}{n-9}\\\\\\\rightarrow\; \dfrac{x}{n-9} = y\\\\\\[/tex]

By switching sides without changing the meaning, this can be re-written as :

[tex]y = \dfrac{x}{n-9} \\\\[/tex]

which of course means you can color the nose red

:)

Answer: it should be the third one down

Step-by-step explanation:

Domain are the inputs of the function. They are the x values of the function

The function gives a parabola. This means the values of x will be from negative infinty to positve infinity

Plotting the graph:

Range are the outputs of the function. They are the y values of the function

From the graph, we see tip of the parabola starts at y = -50 and extends upwards

The y value will be from -50 to positive infinity

Answer:

woooooowwoowww your terrible

Step-by-step explanation:

gude

A fifth-degree polynomial function can have five turning points in its graph.

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Answer:

The correct is answer is option C: "four or less"

The answers to the next  part of the question on Edge are options A and C :)

Step-by-step explanation:

Hope this helped!

Brainliest would be greatly appreciated - Have a great day :3

Answer:

w = 9

Step-by-step explanation:

This is a 90-degree angle, so if you add both equations together, they will equal 90.

First, write the equation:

(4w - 7) + (7w - 2) = 90

Then you solve for w:

- add like factors

11w - 9 = 90

- add 9 to both sides

11w = 99

- divide both sides by 11

w = 9

So, the value of w is 9.

To check, plug your answer into the equation to check if it's true:

(4(9) - 7) + (7(9) - 2) = 90

(36-7) + (63-2) = 90

29 + 61 = 90

90 = 90

Answer: 2x^2

Step-by-step explanation:

    (x+5)

 x (2x - 9)

-----------------

X times 2x = 2x^2

Given the following System of Inequalities:

You need to remember that the Slope-Intercept form of the equation of a line is:

Where "m" is the slope and "b" is the y-intercept.

The steps to graph the System of Inequalities are:

1. In this case, you know that the first line is:

So you need to solve for "y" in order to write it in Slope-Intercept form:

You can identify that the y-intercept is:

2. Since the value of "y" is zero when the line intersects the x-axis, you can substitute that value into the equation and solve for "x", in order to find the x-intercept:

3. Now you know that the first line passes through these points:

4. The second line is:

So you can solve for "y" in order to write it in Slope-Intercept form:

Notice that the y-intercept is:

5. Knowing that "y" is zero when the line intersects the x-axis, you can substitute that value into the equation of the second line and solve for "x" to find the x-intercept:

Answer:

200,017

Step-by-step explanation:

2 at the front for 200,000 , and then you have 17 which are the last 2 digits

Answer:

y = [tex]\frac{-4}{3}[/tex] x + [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

-8x - 6y = -8   Add 8x to both sides

-6y = 8x  - 8   Divide all the way through by -6

y = [tex]\frac{-8}{6}[/tex] c + [tex]\frac{8}{6}[/tex]  Simplify

y = [tex]\frac{-4}{3}[/tex] x + [tex]\frac{4}{3}[/tex]

A negative times a negative is a positive.

A negative times a positive is a negative.

Mrs. Brown has 11 more boys than girls in her class

Total of 28 students.

Answer:

A) B = G + 11 and B + G = 28

Step-by-step explanation:

Answer:

B.15.9

Step-by-step explanation:

Trigonometry

7.7/SIN(29)=15.9

Answer:

3.7 cm

Step-by-step explanation:

See attached worksheet

Probability that the person selected at random from the sport centre of 125 people is a fraction of 1/4 or 0.25.

The probability of an event is the fraction of the required number of outcome divided by the number of possible outcomes.

We shall determine the answer to the question as follows;

People in the sport centre = 125

People who used the 3 facilities = 6

People who accessed only gym = 59 - (6 + 11 + 19) = 26

People who accessed only track event = 55 - (6 + 11 + 24) = 14

People who accessed only swimming pool event = 70 - (6 + 19 + 24) = 21

People who accessed only gym and swimming pool events = 29 - 6 = 19

People who accessed only gym and track events = 17 - 6 = 11

People who accessed only swimming pool and track events = 30 - 6 = 24

Total number of people who accessed at least any one of the facilities = 121

The number of people who did not access any of the facility = 125 - 121 = 4, which is the number of possible outcomes for our required outcome.

Therefore, the probability that the person selected doesn't use any facility = 1/4

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Slope of one of the dotted lines: -1/3

Slope of the line of reflection:​ 3

From given figure, we can observe that the line of reflection passes through points (2, 8) and (0, 2)

We need to find the slope of the line of reflection and any dotted line.

Using the formula of slope, the slope of the line of reflection would be,

m1 = (y2 - y1)/(x2 - x1)

m1 = (2 - 8)/(0 - 2)

m1 = -6 / (-2)

m1 = 3

The dotted lines are perpendicular to the line of reflection.

Let m2 be the slope of any dotted line.

We know that the product of slopes of any perpendicular lines is -1.

so, m1 * m2 = -1

3 * m2 = -1

m2 = -1/3

So, the slope of dotted any line = - 1/3

Therefore,  Slope of one of the dotted lines: -1/3

Slope of the line of reflection:​ 3

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Given

Answer

Which is triangle 2

Answer:

f g(x) = 12x^2 - 16x +5

Step-by-step explanation:

f(x) = 3x^2 + 2x

g(x) = -2x + 1

f g(x)

f g(x) = 3(-2x + 1)^2 + 2(-2x + 1)

f g(x) = 3(-2x + 1)^2 + -4x + 2

f g(x) = 12x^2 - 12x +3 + -4x + 2

f g(x) = 12x^2 - 16x +5

workout:

19+21=40

2000÷40=50

Vince=50×19=950

Wendy=50×21=1050

-u can check by adding 950+1050=2000 (which means the ratio is correct)

Answer:

(vince:wendy)= 950:1050

Answer:

V:W

19:21

19 + 21 = 40

19 over 40 × 200

Vince received $950

Answer:

6000

Explanation:

The expected profit from the investment can be calculated as the multiplication of each possible profit or loss by their respective probability.

Therefore, the expected profit is equal to:

E = 50,000(0.2) + 10,000(0.6) + (-50,000)(0.2)

E = 10,000 + 6,000 - 10,000

E = 6,000

Because there is a 20% of probability to win $50,000 (economy remain strong), there is a 60% of probability to win $10,000 (economy grows at a moderate pace), and there is a 20% of probability a loss of $50,000 (the economy goes into recession).

Therefore, the expected profit from this investment is:

6000

The weight in pounds of the fourth dog, is 55 lbs.

What is weight?

The force exerted on an object by gravity is known as its weight. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.

As given, Ben is walking with three dogs that weigh an average of 75 pounds each. Ben begins to walk with a fourth dog, and the average weight of the dogs decreases to 70 pounds.

The total weight of the first three dogs is 225 pounds.

This amount, plus the weight of the fourth dog, divided by total number of dogs, is the new average weight:

[tex]\frac{d+225}{4} = 70\\d + 225 = 280\\d = 280 - 225\\d = 55 lbs[/tex]

Therefore, the weight of the fourth dog is 55 lbs.

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Answer: the answer is 31.25%

Step-by-step explanation:

Divide 5 by 16, which is 0.3125. The you take that number and multiply it by 100: 0.3125 * 100= 31.25. So there for the answer is 31.25%

The percent of his goal he has finished is 31.25%.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

We need to calculate percentage here.

We have been given total distance and we have also been given the distance covered.

We have to find the percentage of his goal covered.

For this, we need his goal which is 16 miles and we know the goal covered by him which is 5 miles.

To find the percentage, we have to divide these both and multiply by 100.

Percentage of goal covered = Goal covered/total goal *100

= 5/16 * 100

= 31.25%

The percent of his goal is 31.25%.

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Volume of the cone = 50.29 mm³

radius = r = ?

height = 3mm

slant height = 5mm

To get the radius, we would apply pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

hypotenuse = 5mm

opposite = 3mm

adjacent = radius = ?

5² = 3² + radius²

25 = 9 + radius²

25 - 9 = radius²

16 = radius²

radius = √16

radius = 4

4.

The volume of a cube equals its side cubed. Since the side of the cube is 12ft long, then its volume is given by:

Then, the volume of the cube, is:

5.

The volume of the prism equals the product of each of its dimensions. Then:

Then, the volume of the rectangular prism, is: