A Set Of 3 Consecutive Even Integerssums To -66. What Are The Integers? (2024)

Answer: [tex]\text{x}\sqrt{3\text{x}}[/tex] which is Choice A

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Work Shown:

Let [tex]y = \sqrt{3\text{x}}[/tex]

So,

[tex]4\text{x}\sqrt{3\text{x}}-\text{x}\sqrt{3\text{x}}-2\text{x}\sqrt{3\text{x}}\\\\4\text{x}y-\text{x}y-2\text{x}y\\\\(4\text{x}-\text{x}-2\text{x})y\\\\\text{x}y\\\\\text{x}\sqrt{3\text{x}}\\\\[/tex]

This therefore means:

[tex]4\text{x}\sqrt{3\text{x}}-\text{x}\sqrt{3\text{x}}-2\text{x}\sqrt{3\text{x}}=\text{x}\sqrt{3\text{x}}\\\\[/tex]

as long is x is nonnegative.

In the passage, the author anticipates the objections to criticizing the ethics of free markets are ethical because they enable individuals to make choices.

Which objection does the author criticize the ethics of free markets?

According to the author, people object to criticizing ethics in free markets because they believe free markets are inherently ethical, making research into the role of ethics in free markets unnecessary.

Free markets, according to critics, are ethical because they allow individuals to make their own decisions about which goods to buy and which goods to sell.

Option A and B are false because they are not objections to the ethics of free markets.

Option C is incorrect because the author does not present the viewpoint that devalued currency is necessary for free markets.

Therefore, the correct answer is option D) Free markets are ethical because they enable individuals to make choices.

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Answer:

b.is the answer to your question

Volume of pyramid is [tex]280 in^{3}[/tex].

The pyramid has a height 14 inches and a base area of 60 in2.

What is volume?

Volume is a three - dimensional quantity that is used to measure the capacity of a solid shape.

Volume of the pyramid = [tex]Area base[/tex] X [tex]\frac{height}{3}[/tex]

= [tex]60.\frac{14}{3}[/tex]

= [tex]280[/tex] [tex]in^{3}[/tex]

So the volume of pyramid = [tex]280[/tex] [tex]in^{3}[/tex]

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The length of the cylindrical shaped candle will be 17.41 inches.

We have,

A pillar candle shaped like a cylinder carrying wax.

And,

Radius of cylindrical candle = 1.5 inches

And,

Volume of the cylindrical candle = 123 cubic inches,

And,

Let length of the cylindrical candle = h

So,

Now,

According to the question,

The Volume of the cylindrical candle = πr²h

Now,

Putting values,

i.e.

123 = 3.14 × (1.5)² × h

i.e.

123 = 3.14 × 2.25 × h

And,

On solving we get,

h = 123/(3.14 × 2.25)

i.e.

h = 123/7.065

i.e.

h = 17.41 inches

So,

The length of cylindrical candle = 17.41 inches.

Hence we can say that the length of the cylindrical shaped candle will be 17.41 inches.

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[tex]\huge\mathcal{♨Answer♥}[/tex]

[tex] \large \texttt{Expression :}[/tex]

[tex] \frac{( {8}^{2} - 39) }{ {5}^{2} } [/tex]

[tex] \large \texttt{Answer :}[/tex]

[tex] = \frac{( {8}^{2} - 39) }{ {5}^{2} } [/tex]

[tex] = \frac{64 - 39}{25} [/tex]

[tex] = \frac{25}{25} [/tex]

[tex] = 1[/tex]

☆...hope this helps...☆

_♡_mashi_♡_

21i is the voltage, v.

What does voltage V mean?

When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Given,

V = I×Z

I = 3i

Z = 7i

Voltage (V)

V = I × Z

V = 3i × 7i

V= 21i

Hence, the Voltage is 21i.

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The ratio of the vegetarian meals to the number of non vegetarian meals is 19: 14 or 19/ 14

What is ratio?

Ratio is simply a term used to compare two or more numbers.

It is also used to indicate size or quantity of two or more elements when compared to another.

From the information given, we have that;

19 of the diners ordered vegetarian food 14 ordered non-vegetarian food

The ratio of the vegetarian meals to the non vegetarian meals is :

19 : 14

This could also be written as;

19/ 14

Thus, the ratio of the vegetarian meals to the number of non vegetarian meals is 19: 14 or 19/ 14

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Answer:

-5

Step-by-step explanation:

5 + 4(x - 1) = 2x - 9

5 + 4x - 4 = 2x - 9 [distributive property]

1 + 4x = 2x - 9 [combine like terms]

1 + 2x = -9 [subtract 2x from both sides]

2x = -10 [subtract 1 from both sides]

x = -5 [divide both sides by 2]

The required minimum value of the function C = 2x + 3y is 8.

Given that,
The function C = 2x + 3y is minimized at the vertex point of the feasible region at (4, 0). What is the minimum value is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
C = 2x + 3y

At the vertex point of the feasible region at (4, 0).

C = 2*4 + 3*0
C = 8

Thus, the required minimum value of the function C = 2x + 3y is 8.

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Answer:

6ft 13in

Step-by-step explanation:

Answer:

These are the rules of rotation for geometry.
1) 90° clockwise rotation: (x,y) becomes (y,-x)

2) 90° counterclockwise rotation: (x,y) becomes (-y,x)

3) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

4) 270° clockwise rotation: (x,y) becomes (-y,x)

5) 270° counterclockwise rotation: (x,y) becomes (y,-x)

Step-by-step explanation:

I hope this helps! I also added a picture to make this more clear.

The greatest number of people that William and Debra may invite and still stay within their budget is 63.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.

Budget = Total expenses

Budget = Reception hall Cleanup charge + $38 per person fee

Let the number of people invited to the party be represented by x,

$2,500 = $100 + $38(x)

2500 = 100 + 38x

2500 - 100 = 38x

2400 = 38x

x = 2400 / 38

x = 63.157 ≈ 63

Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.

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The solution of the equation is x = -4/3.

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have been given an equation as;

|x - 4| = 5x + 12

In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.

Case 1: original equation

|x - 4| = 5x + 12

x - 4 = 5x + 12

x - 5x = 12 + 4

-4x = 16

x = -4

Case 2: Opposite equation

|x - 4| = 5x + 12

x - 4 = - (5x + 12)

x - 4 = - 5x - 12

x + 5x = -12 + 4

6x = -8

x = -4/3

Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;

Check:

|x - 4| = 5x + 12

use x = -4

|-4 - 4| = 5(-4) + 12

| -8 | = -20 + 12

8 = -8

Thus, it is Not a solution

Now, |x - 4| = 5x + 12

use x = -4/3

| -4/3 - 4| = 5( -4/3) + 12

|-16/3 | = -20/3 + 12

|-16/3 | = 16/3

16/3 = 16/3

Thus, it is the Solution.

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Answer:

-3 is your slope.

Step-by-step explanation:

Use y₂-y₁ / x₂-x₁

for example y₂ would be 3 and x₁ would be 1 in this case.

Answer:

b.) -3 is the answer

Step-by-step explanation:

Answer:

So x is the same for any value of y on the line, which is why the equation is "x=some number" and the line is vertical. So the equation of a line, in slope-intercept form, with an undefined slope (m=undefined) crossing through the point (-3, 5) is: x= -3 , which is a vertical line

Answer:

Katie Price broke the law by travelling with her seven-year-old son Jett on her lap on a 60mph road.

Step-by-step explanation:

MailOnline has published pictures of Katie holding onto Jett in the front passengers’ seat.

K is the only factor that will change if the customer asks for a more expensive brand of paint.

The correct option is C.

What is geometrical figure?

The figures used to represent geometric shapes in mathematics are those that show how commonplace items are shaped. Shapes are the outlines of objects in geometry that have surfaces, angles, and boundary lines.

According to the given information:

n = number of walls

K = units of $/ft²

L = length of each wall in feet

h = height of each wall in feet

This equation shows that A and h will be used to determine the area of each wall.

The variable n is the number of walls,

n times the area of the walls will give the amount of area that will need to be painted.

The only remaining variable is K.

This represents the cost per square foot and is determined by the painter’s time and the price of paint.

K is the only factor that will change if the customer asks for a more expensive brand of paint

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The length and width for a maximum area is 10 popsicle by 10 popsicle.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the length to Craig's house and y represent the width. Hence:

2(x + y) = 40

x + y = 20

y = 20 - x (1)

Area (A) = xy = x(20 - x)

A = 20x - x²

The maximum area is at A' = 0, hence:

A' = 20 - 2x

20 - 2x = 0

x = 10

y = 20 - (10) = 10

The length and width for a maximum area is 10 popsicle by 10 popsicle.

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Some sources of initial funding when starting business are:

Personal savings. Bank loans.

What are sources of initial funding?

These are those sources that provide funds for a business to start-up at initial stages.

They include bank loans as banks are able to loan you money to start a business if they see you have a good business plan. Then there are personal savings that you can accumulate to invest in your business.

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Located in Indonesia, was most likely the medieval volcanic eruption (lines 33-35). The eruption likely occurred near the equator because an equatorial location is “consistent with the apparent climate impacts” the sci- entists observed (lines 61-67).

What right have I written on prudence SAT?

After asserting that he has the right to write on prudence, Emerson says, "We write from aspiration as well as from experience" (lines 11–12). The ability to write about cautious behavior comes from our awareness of it as well as our focused desire, so to speak.

Where does the author indicate the medieval volcanic eruption most probably was located?

Scientists claim that the Indonesian volcano Samalas most likely reflected the medieval volcanic outburst (lines 33-35).

What location does the author suggest the Neolithic volcanic outburst most likely occurred?

According to the text, the mural was discovered at the Neolithic atalhöyük site in Central Anatolia, Turkey, and purports to depict an eruption of the Hasan Da twin-peaks volcano, which is situated about 130 kilometers to the northeast of atalhöyük.

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Answer: [tex]\Large\boxed{(a+b)(2a+3)}[/tex]

Step-by-step explanation:

Given expression

[tex]2ab+3a+2b^2+3b[/tex]

Factorize each term

[tex]=2\times a \times b+3\times a+2\times b \times b+3\times b[/tex]

Factorize [ a ] out of the expression

[tex]=a(2b+3)+2\times b \times b+3\times b[/tex]

Factorize [ b ] out of the expression

[tex]=a(2b+3)+b(2b+3)[/tex]

Combine the parts by reverse distributive property

[tex]=\Large\boxed{(a+b)(2a+3)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The steps of the scientific method are: Ask a question, carry out a thorough investigation, build a hypothesis, test the hypothesis through experimentation, analyze the results, and make a report of the results.

The scientific method is a scientific term to refer to a methodology to develop new knowledge based on observation, measurement, experimentation, formulation, analysis, and modification of hypotheses. The scientific method has the following steps:

1) Ask a question: The beginning of the scientific method is to pose a question to guide the path to be taken in the scientific research process. It is advisable to start with words like:

How, what, when, who, what, why, or where.

2) Investigate the topic: In this step, the researcher must deepen their knowledge of the topic that they chose to relate as much as possible to the topic and begin to interpret and analyze the information they have collected.

3) Posing a hypothesis: In this step, the researcher must propose a possible answer to his question, which is what we know as a hypothesis.

4) Check the validity of his hypothesis through an experiment: In this step, the researcher must put his hypothesis into experimentation and take careful note of the results he obtains because this process helps him understand what he has observed.

5) Analyze the data and draw a conclusion: In this step, the researcher must describe and explain the results obtained in his experiment.

6) Share the results: In this step, the researcher must share their results to mark a precedent in the topic they have studied and leave a record of what they learned during their experiment.

Step-by-step explanation:

The change in temperature of 6°C is equivalent to a change in temperature 14.4°F.

What is the equivalent to a change in temperature?

Looking at the table, we can see that there is the change in the Celsius temperature as well s a change in the Fahrenheit temperature. The table shows the dynamics of these changes as we can see.

No, it can be seen that a one point change in the Celsius temperature caused a doubling of the Fahrenheit temperature. Hence, the change in temperature of 6°C is equivalent to a change in temperature 14.4°F.

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Answer:3

Step-by-step explanation:

beaciuse

1, 2, 3, 5, 7 are prime 5/8
Chance of a 4 is 1/8

5/8 * 1/8 = 5/64

Question 18: D

CM splits AD into two congruent segments: AM and DM.

Question 19: B

[tex]\angle ABM[/tex] and [tex]\angle DCM[/tex] are alternate interior angles.

Question 20: E

The base angles theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are also congruent.

Answer:

84%

Step-by-step explanation:

2940+560=3,500

[tex]\frac{2940*100}{3500} =[/tex][tex]\frac{84}{100}[/tex]

=84%

Answer:

Hello,

Step-by-step explanation:

[tex]\overrightarrow{x}=\overrightarrow{-c}+\overrightarrow{a}+\overrightarrow{b}\\\\=-\overrightarrow{c}+\overrightarrow{a}+\overrightarrow{b}[/tex]

Answer:

the midpoint between (-2,-1) and (2,3) is (0,1)

so your answer is (0,1)

The correct option is D) No, because the data do not indicate whether the honeybees had been infected with mites.

The table data do not support that infection with varroa mites increases a honeybee’s susceptibility to secondary infections because the data do not indicate whether the honeybees had been infected with mites.

What does colony collapse disorder do to bees?

The adult bees' ability to navigate appears to be affected by the colony collapse disorder. In search of pollen, they depart the hive and never come back. The hive typically contains honey and pollen, as well as signs of recent brood raising. The queen and a few other surviving bees may occasionally stay in the brood nest.

The table only includes information on honeybee colonies that have or have not experienced colony collapse disorder and are afflicted with the four diseases. They are not mentioned in relation to their varroa mite illness. As a result, the table cannot be used to infer the effects of varroa mite infestation.

Therefore, D is the right response.

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