A cardboard box manufacturing company is building boxes with length represented by x+1, width by 5 - x, and height by x - 1. The volume of the box is modeled by the function below. a) What is a reasonable domain for V(x)? b) What value of x would produce the greatest volume box? c) For which values of x is the volume increasing?

HELP ASAP!

Answer:

Monica = 48.50

Samuel = 24.25

Kara = 17.25

Step-by-step explanation:

First you write equations as you are reading the text:

m = 2s ("Monica earned twice as much as Samuel")

s = k+7 ("Samual earned 7 more than Kara")

m = 48.50

Next, you convert these equations to solve for s and k respectively.

So, if m=2s, then s=m/2:

s = m/2 = 24.25

Likewise, if s=k+7, then k=s-7

k = s-7 = 17.25

The difference between greatest and least is 48.50 - 17.25 = 31.25

The coordinate of D’ after the dilation is (-6, 0)

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

D = (-2, 0)

Scale factor = 3

The coordinate of D’ after the dilation is calculated as

D' = D * Scale factor

Substitute the known values in the above equation, so, we have the following representation

D' = (-2, 0) * 3

Evaluate

D' = (-6, 0)

Hence, the image is (-6, 0)

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We can compute various descriptive statistics such as the mean, median, mode, range, variance, standard deviation, sum of values, and sum of squared deviations.

The sample mean, also known as the average, provides information about the central tendency of the variable X. It represents the typical or average number of coupons used by the shoppers in the sample. In this case, calculating the mean of the given data would provide an estimate of the average number of coupons used over the 6-month period.

The sample standard deviation measures the dispersion or variability of the data points around the mean. It indicates how much the individual observations deviate from the mean value. A higher standard deviation implies greater variability, indicating a wider range of coupon usage among the shoppers in the sample.

By computing the sample mean and standard deviation, we can understand the average coupon usage and the degree of variability in the data. These statistics help us summarize and interpret the characteristics of the variable X, allowing us to make comparisons, identify outliers, assess the spread of the data, and make inferences about the larger population from which the sample was drawn.

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The equation of the trajectory which can be described using the equations for projectile motion is; y(t) = x·tan(θ) - g·x²/(2·v₀²·cos²(θ)), which is a quadratic equation with a path of a parabola

Projectile motion is the motion of an object that is projected in the air under the influence of gravitational attraction.

Let θ represent the angle at which the path of the object makes with the horizontal, and let v₀ represent the velocity of the object. The path of the object can be described using the equations of the motion of a projectile, as follows;

Horizontal component of the velocity, v₀ₓ = v₀ × cos(θ)

Vertical component of the velocity, \(v_{0y}\) = v₀ × sin(θ)

The horizontal motion of the object is therefore;

x(t) = v₀ₓ × t = v₀ × cos(θ) × t

The vertical motion which is under the influence of gravity is; y(t) = \(v_{0y}\)  × t - (1/2) × g × t²

v₀ × sin(θ) × t - (1/2) × g × t²

The horizontal component indicates that we get;

t = x/(v₀ × cos(θ))

Plugging in the above expression for t into the equation for y(t), we get;

y(t) = \(v_{0y}\)  × t - (1/2) × g × t² = \(v_{0y}\)  × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))²

\(v_{0y}\)  × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))² = (v₀ × sin(θ)) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))²

(v₀ × sin(θ)) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))² = x·tan(θ) - g·x²/(2·v₀×cos(θ))²

The equation, y = x·tan(θ) - g·x²/(2·v₀×cos(θ))², is a quadratic equation, which is an equation of a parabola, therefore, the trajectory of an object thrown at an angle to the horizontal is a parabola.

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Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

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The Interquartile range i.e 1.5 (IQR) is used to identify outliers in a set of data which is the correct answer would be option (A).

We may build up a "fence" outside of Q1 and Q3 by using the Interquartile range (IQR) method of spotting outliers. Outliers are values that fall outside of this range.

To construct this barrier, we take 1.5 times the IQR, deduct it from Q1, and add it to Q3. This provides us with the lowest and maximum fence posts against which we will compare each observation.

Outliers are observations that are greater than 1.5 IQR below or above Q1. Minitab's default strategy for identifying outliers is this.

Therefore, the Interquartile range (IQR) is used to identify outliers in a set of data.

Hence, the correct answer would be option (A).

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Answer:

infinite

Step-by-step explanation:

it results in 10-10x=10-10x if you simplify

can also be simplified more into x=x

but we already know x has to equal x.

In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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Answer:

x = 3

Step-by-step explanation:

2.5/x = 10/12

Multiply both sides by x

2.5 = 10/12x

Divide both sides by 10/12

3 = x

Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

Answer:

279.987

this is da answer

Step-by-step explanation:

There are 280.035 lbs in 127 kilograms. The answer is obtained by applying the unit conversion.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

Now,

we have been given 127 kilograms which are to be converted into pounds and to be represented in lbs.

We know that 1 kilogram = 2.205 lbs (approx)

Therefore,

⇒127 kilograms = 127 * 2.205

⇒127 kilograms = 280.035 lbs

Hence,

          There are 280.035 lbs in 127 kilograms.

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Given the equation:

Answer:

15x12=180mm

Step-by-step explanation:

Answer:

x=2.1

Step-by-step explanation:

collect like terms 2.4x+5.8x=8.2x

move the terms to the left side and change its sign to -8.2x

move the constant(-3.28) to the right and change its sign to 3.28

equation should now be 9x-8.2x=-1.6+3.28

next you're going to do 9x-8.2x=0.8x

then -1.6+3.28=1.68

divide both sides of the equation by 0.8

x=2.1 is your final answer

Answer:

The book was 50 dollars

Step-by-step explanation:

0.25% x 40 dollars = $10

10 + 40 (the original amount) = $50

Answer:

$50

Step-by-step explanation:

25% of $40 is $10 dollars. so a book sold with 25% profit is $50

Answer:  \(4\sqrt{2}\)  (choice C)

Explanation:

In a 45-45-90 triangle, the hypotenuse is found through this formula

\(\text{hypotenuse} = \text{leg}\sqrt{2}\)

We could also use the pythagorean theorem with a = 4, b = 4 to solve for c.

\(a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{4^2+4^2}\\\\c = \sqrt{2*4^2}\\\\c = \sqrt{2}*\sqrt{4^2}\\\\c = \sqrt{2}*4\\\\c = 4\sqrt{2}\\\\\)

Alexa needs to put approximately 2.67 cubic feet of soil in each flower pot.

In mathematics, division is the process of dividing a given amount into equal parts. For instance, a group of 20 individuals can be divided into four groups of five people each, or five groups of four people each, and so on.

We have been given that Martha has 8 cubic feet of putting soil in the 3 flowerpots. She wants to put the same amount of soil in each pot.

To find the amount of soil in each pot, we need to divide total soil (8 cubic feet) by number of pots (3) as shown below:

Amount of soil in each pot = 8/3 cubic feet = 2.67 cubic feet (approx.)

Therefore, Alexa needs to put approximately 2.67 cubic feet of soil in each flower pot.

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Answer:

Same as the other guy

Step-by-step explanation:

Answer:

x= 19/12, -41/12

Step-by-step explanation:

I'm guessing x is "t".

The quadratic formula is x=(-b+-sqrtb^2-4ac)/2a I know that this is hard to read sorry!

Plug in a, b, and c.

Oh yeah, first convert it to the form Ax^2+bx+c

so 6x^2-35=-11x

6x^2+11x-35=0

(-11+-sqrt11^2-(-4*6*35))/2*6

Simply: (-11+-sqrt 121+840)/12

(-11+-sqrt961)/12

(-11+-31)/12

-11+30=19

-11-30=-41

x= 19/12, -41/12

Answer:

Answer: y = 3x

Step-by-step explanation:

Explanation:

The equation that represents a proportional relationship or line is y = kx. Because our answer is in that form we can conclude that y = 3x represents a proportional relationship.

Hope this helps you out :)

Answer:

the first one

Step-by-step explanation:

Answer:

its 1/sqrt{5}+2

Answer:

6

Step-by-step explanation:

\((3\sqrt{2}) ^{2} + (3\sqrt{2}) ^{2} = 18 + 18 = 36\\\sqrt{36} = 6\)

Answer: She had 60% of the money left

Step-by-step explanation:

240/600=0.4

0.4 = 40%

100%-40%=60%

Answer:

60%

Step-by-step explanation:

LETS MAKE IT INTO A FRACTION

FIRST LETS CALCULATE HOW MUCH SHE SPENT

=240/600

WE CAN SIMPLIFY BY DIVIDING THE EQUATION BY 10

=24/60

LETS DIVIDE BY 6

=4/10

DIVIDE BY 2

=2/5

NOW LETS CALCULATE HOW MUCH SHE HAS LEFT

THE EASIEST WAY IS TO SUBTRACT

5/5-2/5=3/5

3/5 IS ALSO EQUAL TO 60/100

SO KAREN HAS 60% OF HER MONEY LEFT

HOPE I HELPED

PLS MARK BRAINLIST

(DESPERATELY TRYING TO LEVEL UP)

        ✌

In a political election, it is not uncommon for each candidate to be supported by a different political organization. This is often reflective of the diverse political landscape of a given area, with various groups vying for power and influence.

One candidate may be supported by a liberal organization, while another may have the backing of a conservative group. There may also be candidates who are supported by smaller, niche organizations that represent specific issues or causes.

Regardless of the specific organizations involved, this dynamic can create a complex and competitive political environment. Candidates must work hard to appeal to their respective supporters, while also trying to win over voters who may not be aligned with any particular political organization.

Ultimately, the success of each candidate will depend on their ability to build a broad coalition of support, while also staying true to the values and principles of their respective organizations. This can be a challenging balancing act, but it is an essential part of the political process.

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Explanation:

Let the recurring decimal be x

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

x = 0.216216216216...

1000x = 216.216216...

1000x - x = 216

999x = 216

x = 216/999

x = 8/37

Answer:

Let x equal the recurring decimal:

\(\sf Equation\:1: \quad x=0.216216216...\)

Create another number with recurring 216s by multiplying the above expression by 1000:

\(\sf Equation\:2: \quad 1000x=216.216216...\)

Subtract Equation 1 from Equation 2 to eliminate the recurring digits after the decimal:

\(\sf \implies 1000x-x=216.216216...-0.216216...\)

\(\sf \implies 999x=216\)

Divide both sides by 999:

\(\sf \implies \dfrac{999x}{999}=\dfrac{216}{999}\)

\(\sf \implies x=\dfrac{216}{999}\)

Simplify:

\(\sf \implies x=\dfrac{216 \div 27}{999 \div 27}=\dfrac{8}{37}\)

The net profit margin for this shirt is 55%.

What is net profit?

Net profit is the amount of money your business earns after deducting all operating, interest and tax expenses over a period of time. To arrive at this value, you need to know the company's gross profit. If the value of net profit is negative, it is called net loss.

Net profit is another important parameter that determines the financial health of your business. It shows whether the company can earn more than it spends. Net profit helps you decide when and how to expand your business and when to cut costs.

It is important for a business owner to know the difference between profit and profitability. Profit is an absolute number equal to revenues minus expenses. Profitability, on the other hand, is a relative number (percentage) that equals the ratio of profit to revenue.

Profitability is a measure of efficiency and is useful in determining the success or failure of a business.

Given,

Revenue = $12

Cost of goods sold = $3

Operating expenses = 20% of revenue = 20/100 x $12 = $2.4

We know,

Net Profit = Revenue - Cost of goods sold - Operating expenses

\(Net \: Profit = 12 - 3 - 2.4\)

Hence, Net Profit = $6.6

Again,

Net Profit Margin = (Net Profit / Revenue) x 100%

Net Profit Margin \(= ( \frac{6.6}{ 12}) \times 100\%\)

SO, Net Profit Margin = 55%

Therefore, the net profit margin for this shirt is 55%.

So, it is clear that choice A is correct.

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The type of sampling in the scenario given is a random sampling. There are different types of sampling techniques, which include simple random sampling, stratified sampling, systematic sampling, cluster sampling, etc.

Random sampling is a type of sampling technique in which every member of the population has an equal chance of getting selected in the sample.

This sampling method is unbiased and a representative of the population.

It is important to use this sampling technique when we have a large population with a wide range of characteristics.

In this scenario,

the students are randomly selected from the bag, and each student is given a number from 1-125, and their numbers are written on a small piece of paper and put in a large bag mixed thoroughly, and then 12 numbers are randomly selected from the bag.

Hence, we can say that the type of sampling in the given scenario is a random sampling.

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Answer:

A: (-7, 2)
B: (-4, 2)
C: (-3, 7)

Step-by-step explanation:

So a little tip! 270 degrees clockwise is the same as 90 degrees counter clockwise!! (and vice versa)

90 degrees counter-clockwise would switch all the coordinates from (x,y) to (-y,x)

Answer:

x = 7

Brainliest, please!

Step-by-step explanation:

90 + 33 + (6x + 15) = 180

6x + 138 = 180

6x = 42

x = 7

The length of side GF from the similar triangles shown is GF = √10 units

An equation is an expression that shows the relationship between two or more numbers and variables.

Two triangles are said to be similar if they have the same shape, all the angles are equal and the ratio of corresponding sides are in the same proportion.

In a similar triangle, DE = GF, Hence:

GF/DF = GH/DE

GF / 5 = 2 / GF

GF² = 10

GF = √10

The length of side GF from the similar triangles shown is GF = √10 units

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