i need help on this question pleaseeee

The graph of the function is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y=(x-2)^3

The above expression is a cube function that has been transformed/translated from its parent function to the right by 2 units

Next, we plot the graph

See attachment for the graph of the inequality

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Answer:

Step-by-step explanation:

You want the value of 'a' in a parallelogram with opposite sides marked (a+3) and (2-14). And you want the value of an unmarked angle in the same parallelogram with opposite angles marked (4b-56)° and (2b+4)°.

Opposite sides of a parallelogram are congruent, so we have ...

  XY = WZ

  (a +3) = (2a -14)

  17 = a . . . . . . . . . . add 14-a

Opposite angles of a parallelogram are congruent, so we have ...

  ∠Y = ∠W

  (4b -56)° = (2b +4)°

  2b = 60 . . . . . . . . . . . . add 56-2b

Then angle W is ...

  ∠W = (2b +4)° = (60 +4)° = 64°

Angle Z is the supplement of angle W, so its measure is ...

  ∠Z = 180° -64°

  ∠Z = 116°

__

Additional comment

Adjacent angles in a parallelogram are supplementary.

The maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array is log₂(2000), which is approximately equal to 11.

The maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array can be calculated using the logarithmic time complexity of the binary search.

In a binary search, the array is divided into two halves at each comparison, and the half that contains the target element is selected for the next comparison. This continues until the target element is found or it is determined that the element does not exist in the array.

The maximum number of comparisons can be calculated as the base-2 logarithm of the size of the array, rounded up to the nearest integer. In this case, the size of the array is 2,000 elements, so the maximum number of comparisons is:

log₂(2000) = 10.96...

= 11 comparisons

Therefore, the maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array is 11.

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The probability of getting exactly 2 heads if you flip a coin 3 times is 3/8.

Now, According to the question:

Probability : The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

"Information available from the question"

An experiment is to flip a fair coin three times.

We have to find the probability of getting exactly two heads.

Sample space: {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT​}

Total number of possible outcomes=8

Probability of getting exactly two heads is:

P(A) = P(getting two heads)

P(A) = 3/8

Therefore, the probability of getting exactly 2 heads if you flip a coin 3 times is 3/8.

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The width of the rectangle is 9 meter.

Now, According to the question:

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.

Now, Solving the problem:

Perimeter of rectangle is 50 meter sq.

Length of the rectangle(L) is 16 meter.

We have to find the width (W) of the rectangle.

We know that,

Perimeter of rectangle is = 2 (L + W)

50 = 2(16 + W)

50 = 32 + 2W

2W = 50 - 32

2W = 18

W = 18/2

W = 9

Hence, The width of the rectangle is 9 meter.

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There are 18 black disks in the bag given that the probability of selecting two disks of the same color is equal to the probability of selecting two disks of different colors.

Let's assume there are x black disks in the bag. So there are 36-x white disks.

The probability of selecting two black disks is (x/36)*((x-1)/35).

The probability of selecting two white disks is ((36-x)/36)*((35-x)/35).

And the probability of selecting one black and one white disk is (x/36)*((36-x)/35).

Since the probability of selecting two disks of the same color is equal to the probability of selecting two disks of different colors, we can set these probabilities equal to each other:

(x/36)((x-1)/35) = (36-x)/36)((35-x)/35)

Expanding both sides and simplifying, we get,

[tex]x^2[/tex] - x = 36x - [tex]x^2[/tex]

2[tex]x^2[/tex] = 36x

[tex]x^2[/tex] = 18x

x = 0 or x = 18

Since there must be at least some black disks in the bag, we can conclude that there are 18 black disks in the bag.

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Probability that a randomly chosen new student who joins the club after receiving the membership material is a woman is 0.659

A campus student club distributed material about membership to new students attending an orientation meeting. Of those receiving this material 40% were men and 60% were women. Subsequently, it was found that 7% of the men and 9% of the women who received this material joined the club.

a. Find the probability that a randomly chosen new

student who receives the membership material will join the club.

b. Find the probability that a randomly chosen new student who joins the club after receiving the membership material is a woman.

P men = 0.4

P women = 0.6

P join/men = 0.07

P join /women = 0.09

P join =P men* P join/men + P women*P join /women

P join = 0.4 * 0.07 + 0.6 *0.09

         = 0.028 + 0.054

         = 0.082

P(women/join)= 0.082/0.6(0.09)

                         ​= 41/27 ≈0.659

Probability that a randomly chosen new student who joins the club after receiving the membership material is a woman is 0.659 .

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Using algebraic expression,  expressions that represent the amount of money, in dollars, from the salary budget that is left for the 5 other employees are 6x -0.25x and 0.75x.

The manager’s salary is 25% of the total budget, while the other five employees share the remaining 75%.

The total salary budget is represented by the variable x, so the manager’s salary is 0.25x.

The remaining five employees share 0.75x.

The expressions that represent the amount of money, in dollars, from the salary budget that is left for the five other employees are 0.75x and 6x-0.25x.

0.75x represents the total amount of money available to the five employees, while 6x-0.25x shows the amount of money available to the five employees after the manager’s salary has been subtracted.

The expressions -0.25x, 5x-25x, and 0.25x are not valid representations of the amount of money available to the five other employees, since they do not account for the manager’s salary.

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The solution to the system of equations is given as follows:

(s,-3s+20).

The meaning is that the number of adult tickets purchased was 20 subtracted by the triple of the number of student tickets purchased.

The system of equations for this problem is defined as follows:

Replacing the second equation into the first, the value of s is given as follows:

150s + 50(-3s + 20) = 1000

150s - 150s - 1000 = 1000

0s = 0.

This means that the system has an infinite number of solutions in the following format:

(s,-3s+20).

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Answer:

x = 40

Step-by-step explanation:

the adjacent angles of a parallelogram sum to 180° , then

4x + 22 + x - 42 = 180

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

Answer:

Step-by-step explanation: WE KNOW THAT,

THE SUM OF THE ADJACENT ANGLE OF THE PARALLELOGRAM IS 180.

SO 4X+22+X-42=180

5X-20=180

5X=200

X=40

For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.

Now, According to the question:

For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.

One tablespoon or less of a soft food, like whipped cream or sour cream, is typically referred to as a "dollop."

Furthermore, a pinch is, as its name suggests, the quantity of an ingredient (such as salt or a dry herb) that you can hold between your thumb and fingers. Additionally, there is a "healthier-sized" pinch that involves your thumb, forefinger, and middle finger, known as a "three-finger pinch." It probably equals between a quarter and an eighth of a teaspoon in terms of volume.

The difference is one of distance...

100 yards = 300 feet

100 meters = 328.0839895 feet

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Colliding plates are connected to the earth activities through the lithosphere as it is broken up into plates.

Stress on a rock causes the rock to have a different form.

To demonstrate shearing, you have to carry out the experiments that have been explained.

Colliding plates are connected to Earth activity because they are a major part of plate tectonics, which is the study of how the Earth's lithosphere (crust and upper mantle) moves and deforms. The lithosphere is broken up into several large and small plates that are in constant motion, colliding, sliding past, or moving away from one another. These plate movements can cause earthquakes, volcanic eruptions, and the formation of mountain ranges.

Stress on a rock can manifest in several ways, such as deformation, cracking, or breaking. When a rock is subjected to stress, the rock will change shape or size, creating a state of strain. The rock will also develop fractures or cracks, which are called joints. Stress can also cause a rock to break or shatter, which is called a fault or shear.

To demonstrate shearing, one could take a block of clay or putty and apply a force to one side of the block, pushing it in one direction, while holding the opposite side steady. As the clay or putty is pushed, it will begin to deform, the one side will move in relation to the other side and this movement of one side in relation to the other is called shearing. Another way to demonstrate shearing is to take a rectangular piece of paper and apply force on two opposite corners in opposite direction, this will cause the paper to bend and shear.

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The number of soldiers in the parade is given by the equation A = 360 soldiers

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number of soldiers in the parade be represented as A

Now , the proportion will be

The number of soldiers in 22.5 m wide row = 25 soldiers

Now , the length of 1 row = 8.1 m

The length of 40 rows = 40 x 8.1 = 324 m

So , 25 / 22.5 = A / 324   be equation (1)

On simplifying the equation , we get

Multiply by 324 on both sides of the equation , we get

A = ( 25 x 324 ) / 22.5

A = 8100 / 22.5

A = 360 soldiers

Therefore , the value of A is 360 soldiers

Hence , the equation is A = 360 soldiers

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Answer:

Step-by-step explanation:

There are 45 animals in a zoo. 40 of them are tigers.

Write this proportion as a percentage.

Give your answer correct to 1 decimal place when appropriate.

The number of pieces of wood that can be cut from the board is 8.

A fraction is a mathematical expression that represents a part of a whole. It is written as two numbers separated by a slash ( / ). The top number, called the numerator, represents the number of parts being considered, and the bottom number, called the denominator, represents the total number of parts in the whole. For example, 1/2 is a fraction that represents one part of a whole that has been divided into two equal parts.

To determine the number of pieces of wood that can be cut from a board that is 107/8 feet long, if each piece is 227/140 feet long, you need to divide the length of the board by the length of each piece.

You can calculate the number of pieces by dividing the length of the board which is 107/ 8 feet by the length of each piece which is 227/ 140 feet:

= 107/ ( 8 * 227/ 140)

= (107/8) * (140/ 227)

= 8.25

= 8

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The observations of shoplifters in Pueblo, Colorado, characterized as "72 percent men and 28 percent women, with an average age of 15.4 years" constitutes the type of Analysis called as Descriptive Analysis.

The Descriptive analysis is a type of statistical analysis which involves the  summarizing and describing main features of a set of data. This type of analysis is used to provide a general picture of the data and to highlight patterns and relationships in the data.

the data "72 percent men and 28 percent women, with an average age of 15.4 years" describes the gender and age distribution of shoplifters in Pueblo, Colorado. The data provides information on the percentage of men and women who are shoplifters, and the average age of shoplifters in the area. This information can be used to describe the characteristics of shoplifters in Pueblo, Colorado.

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The required  base and height are   19.68  centimeter, 5.68 centimeter.

Use the equation area = 1/2 * base * height to determine a triangle's surface area. Decide which side will serve as the triangle's base, then calculate the triangle's height from that base. After that, enter the height and base measurements you have into the formula.

Let the height of the triangle is h

Then base can be written as 2h + 8

Area = 55 square​ centimeters

Now,

Area = bh/2

55 = h(2h + 8)/2

2h² + 8h = 110

2h² + 8h - 110 = 0

On solving it

h = -2 ± 7.68

h = 5.68 centimeter.

Then base of triangle = 2(5.68) + 8

= 11.36 + 8

= 19.68  centimeter.

Thus, required base and height are   19.68  centimeter, 5.68 centimeter.

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Answer: -29, -23, -17, -11, -5, 1, 7, 13, 19, 25, 31, 37

The sum of the terms of the arithmetic progression is 48

Step-by-step explanation:

An arithmetic progression (AP) is a sequence of numbers such that the difference between any two consecutive terms is a constant. The common difference is denoted by d.

Given that the last term of the AP is 37 and there are 12 terms in total, we can use the formula for the nth term of an AP:

an = a1 + (n-1)d

Where a1 is the first term and n is the number of terms.

We know that the last term is 37, so we can substitute in the formula:

37 = a1 + (12-1)d

37 = a1 + 11d

To find the first term, we can subtract 11d from both sides:

a1 = 37 - 11d

The sum of an arithmetic progression is given by the formula:

Sn = n/2(2a1 + (n-1)d)

We know that the sum of the two middle terms is 41, and we can use this information to find the sum of the entire AP:

41 = (12/2)(2a1 + (12-1)d)

41 = 6(2a1 + 11d)

41 = 12a1 + 66d

Now we have two equations with two variables, we can use these equations to solve for the common difference d.

37 = a1 + 11d

41 = 12a1 + 66d

Substitute the first equation into the second equation:

41 = 12(37 - 11d) + 66d

41 = 444 - 132d + 66d

41 = 444 - 66d

Now we can solve for the common difference d:

-66d = -403

d = 6

Now that we know the common difference, we can use it to find the first term:

a1 = 37 - 11d

a1 = 37 - 11(6)

a1 = 37 - 66

a1 = -29

So the arithmetic progression is:

-29, -23, -17, -11, -5, 1, 7, 13, 19, 25, 31, 37

and the sum of the terms of the arithmetic progression is

Sn = 12/2(-29 + 37) = 12/2(8) = 48

The Arithmetic progression is -5, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37 and  the sum of the terms of the arithmetic progression is 456.

Let the common difference of the arithmetic progression be d and the first term be a. Then, the 12th term is a + 11d = 37.

The two middle terms of an arithmetic progression with an odd number of terms are the 6th and 7th terms. Thus, the sum of the two middle terms is (a + 5d) + (a + 6d) = 41.

Solving the system of equations:

a + 11d = 37

a + 5d + a + 6d = 41

a = -5, d = 4

So, the arithmetic progression is -5, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37.

To find the sum of the terms, we can use the formula for the sum of an arithmetic series, which is:  (n/2)(2a + (n-1)d)

(where n is the number of terms, a is the first term, and d is the common difference.)

So, the sum of the terms is (12/2)(2*-5 + (12-1)4) = 12(-5 + 43) = 12*38 = 456

Therefore, The arithmetic progression is -5, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37 and  the sum of the terms of the arithmetic progression is 456.

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The length of the molding that Mr. and Mrs. Garcia are to place is:

P = 38ft

 The perimeter is the sum of the sides of a plane figure, when they are straight, and when they are curved it is the sum of the path of those curves.

If we know that the Garcia family's roof is of the following dimensions:

8ft x 10ft, then evidently it is a rectangular ceiling, and the molding they will place will be around it so its length we determine as the perimeter of a rectangle:

Equation:

P = 2x + 2y

x = 8ft

y = 10ft

P = 2(8ft) + 2(10ft)

P = 38ft

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Answer:

In the assignment, it says to "Look at the Neverbend Residence Floor Plan on page 8", but you didn't attach an image of the floor plan, so none of the questions can be answered. Please create another question, this time attaching the floor plan.

Answer:

2 times more

Step-by-step explanation:

1/6= 2/12, 1/12*2 = 2/12=1/6 so Michelle used 2 times more cinnamon than nutmeg

The value of m = 1 and n = 50, and the answer is (m.n) = 50

Let's call the cards picked by Alex and Dylan "pair 1".

Since Blair and Corey have to pick cards from the remaining 50, there are 50 * 49 = 2400 ways in which Blair and Corey can pick their cards.

Of these, 48 are such that Blair and Corey have the lower numbered cards and form the first team,

And 48 are such that Blair and Corey have the higher numbered cards and form the second team.

Thus, the probability that Alex and Dylan are on the same team is

p(a) = 48/2400 = 1/50

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

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The correct option is D. Both students are correct.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is 5a / 2a+3.

When we divide a number with p with another number q, then the resulting value is the quotient of the division of the two numbers.

Here the two expressions are 5a and 2a + 3.

5a / 2a+3 is actually (5a) ÷ (2a+3).

The value of the entire expression is the quotient. So Aviv is correct.

The expression 2a + 3 has two terms, 2a and 3. So Marco is also correct.

Hence the description of both Aviv and Marco are correct.

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The complete question is as follows :

Aviv and Marco were trying to describe the parts of the expression 5a/2a+3.

- Aviv said, "The entire expression is the quotient of 5a and 2a+3"

- Marco said, "On it's own, 2a+3 is a sum with 2 terms."

Who is correct?

Choose one answer:

A: Only Aviv

B: Only Marco

C: Neither student is correct

D: Both students are correct

Deviance is a concept that refers to behaviors or actions that are outside of the norms and expectations of a particular society or group. In many ways, deviance clarifies moral boundaries and affirms norms because it helps define what is considered acceptable and unacceptable behavior within a particular community.

When individuals engage in deviant behavior, it draws attention to the fact that there are established norms and expectations for behavior within a society. For example, if someone steals from a store, it is considered deviant behavior because it goes against the norm of honesty and fair dealing. This deviant behavior highlights the fact that there is a norm of honesty and fair dealing in society, and helps to reinforce it. Similarly, when deviant behavior is punished, it sends a message to others in the community that the behavior is unacceptable and reinforces the norm against it. For example, if a person is punished for stealing from a store, it sends a message to others that this behavior is not tolerated and reinforces the norm of honesty and fair dealing.

In conclusion, deviance clarifies moral boundaries and affirms norms because it highlights and reinforces established expectations for behavior within a society. When individuals engage in deviant behavior, it brings attention to these norms and reinforces their importance.

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The life of cell batteries is normally distributed with a mean of 68.3 hours and a standard deviation of 18.4 hours. 93% of the batteries will last more than 41.15 hours.

A mean = 68.3 hours

A standard deviation(SD) = 18.4 hours

We have to determine 93% of the batteries will last more than how many hours.

P(x > x(1)) = 93%

P(x > x(1)) = 0.93

1 - P(x ≤ x(1)) = 0.93

Now solving

P(x ≤ x(1)) = 0.07

P(z ≤ (x(1) - mean)/SD) = 0.07

P(z ≤ (x(1) - 68.3)/18.4) = 0.07

P(z ≤ (x(1) - 68.3)/18.4) = 0.07

Using the z table

(x(1) - 68.3)/18.4 = -1.4758

Multiply by 18.4 on both side, we get

x(1) - 68.3 = -27.15472

Add 68.3 on both side, we get

x(1) = 41.14528

x(1) = 41.15 hours

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Answer:

The cost of plain wrapping paper is $6 and cost of shiny wrapping paper is $9

Step-by-step explanation:

cost of plain wrapping paper  = x

cost of shiny wrapping paper = y

so the equation will be:-

5x + 3y = 57

11x + 3y = 93

by subtracting 3y from the equation we get :-

6x = 36

x = 6

5(6) + 3y = 57

30 +3y = 57

3y = 27

y = 9

hence, the cost of plain wrapping paper is $6 and cost of shiny wrapping paper is $9

We should multiply the current population by 0.966.

Now, According to the question:

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

"Information available from the question"

The population of a city decrease by 3. 4% per year.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Then the population after one year is given as

P = (100% - 3.4%) of P₀

P = 99.4% of P₀

P = 0.966P₀

Hence, We should multiply the current population by 0.966.

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The correct answer is option (e). The sum of the lengths in inches of all of its interior diagonals is 40√2.

The surface area of a rectangular box can be expressed as 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the box, respectively. Since the total surface area is 94 square inches and the sum of the lengths of all its edges is 48 inches, we can write an equation using these variables. Solving for l, w, and h, we find that the length, width, and height are 6, 7, and 4 inches, respectively.

The sum of the lengths of all interior diagonals can then be found using the Pythagorean theorem. The result is,

√(l^2 + w^2 + h^2) = √(6^2 + 7^2 + 4^2)

= √(36 + 49 + 16)

= √101

= 10√2.

The sum of the lengths of all interior diagonals is then equal to 2(10√2) = 40√2.

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Answer:

D. Baseball is more popular because 38 students preferred baseball, compared to 12 students who preferred soccer.

38 is the highest number of students who preferred basketball.

Step-by-step explanation: