3. la mamá de jordan compró 7 cajas de envases de jugo para después del entrenamiento del equipo. cada caja tenía 8 envases de jugo. después que el equipo bebió todo el jugo que quiso, quedaron 29 envases de jugo. el equipo abrió una nueva caja solo después de beber todo el jugo de la caja anterior. ¿cuántas cajas de jugo abrió el equipo?

The positive difference between the two solutions of the quadratic equation \(2x^{2}\) + 5x + 12 = 19 -7x is \(\frac{\sqrt{200} }{4}\).

We are required to determine the positive difference between the two solutions of the given quadratic equation: \(2x^{2}\) + 5x + 12 = 19 -7x

1. Move all terms to the left side of the equation to form a standard quadratic equation:

\(2x^{2}\) + 5x + 12 + 7x - 19 = 0

2. Simplify the equation: \(2x^{2}\) + 12x - 7=0.

3. Use the quadratic formula to find the solutions for x:

\(x = \frac{-b \pm \sqrt{b^{2} -4ac}}{2a}\)

where a=2, b=12, and c=-7.

4. Substitute the values:

\(x = \frac{-12 \pm \sqrt{12^{2} -4(2)(-7)}}{2(2)}\)

5. Simplify the expression:

\(x = \frac{-12 \pm \sqrt{144 + 56}}{4}\)

6. Calculate the value under the square root:

\(x = \frac{-12 \pm \sqrt{200}}{4}\)

7. Now, we have two solutions:

\(x_{1} = \frac{-12 + \sqrt{200}}{4}x_{2} = \frac{-12 - \sqrt{200}}{4}\)

8. Find the difference between the solutions:

\(x_{1} - x_{2}\) = \(\frac{\sqrt{200} }{4}\)

The positive difference between the two solutions is\(\frac{\sqrt{200} }{4}\).

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The expression that will help to calculate the area of the figure is A = (n-6)² and the area will be 25 units² when n = 11.

A term may be a number, a variable, the product of two or more variables, a number and a variable, or any combination of these.

A single term or a collection of phrases can be used to create an algebraic expression.

For instance, 4x and y are the two terms in the formula 4x + y.

So, we have a square as a figure.

The side of the figure is (n - 6).

Now, the expression to find the area of the square will be:

A = (n-6)²

Now, evaluate when n = 11 as follows:

A = (n-6)²

A = (11-6)²

A = (5)²

A = 25 units²

Therefore, the expression that will help to calculate the area of the figure is A = (n-6)² and the area will be 25 units² when n = 11.

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Since neither f(-x) = f(x) or f(-x) = -f(x) for all values of x, the function is neither odd nor even.

Due to the all values of x condition for both even and odd functions, we have to check just one point to verify if the function is neither even or odd.

From the graph, we have that the function is defined only for x > 0. Hence:

Hence none of the first two conditions are true for all values of x, thus the function is neither even nor odd.

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Answer:

It has the same slope and a different y-intercept

Step-by-step explanation:

Y + 11 = -(x-18)

Y + 11 = -x + 18

Y = -x +7

thus it has a slope of -g too but y-intercept was 7 instead of 13

The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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Answer:

295%

First Option

Step-by-step explanation:

The interest on $530 for 5 weeks is $150

Rate of interest as a decimal for 5 weeks = 150/530 = 0.28301

As percentage, multiply by 100 to get  0.28301 x 100 = 28.301%

Interest per week = 28.301/5

Since there are 52 weeks in a year the APR
= (28.301/5)  x 52  = 294.3304 % ≈ 295%

The overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.

The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axes. The dot plot is also known as the strip plot.

Figure of the dot plot of the team 1 and team 2 is attached below. The overlap of the team 1 and the team 2 has to be found out.

The overlaps mean in the dot plot is height, which both the graphs of dot plot have in same.

In the attached image, it seen that the overlap of the team one and team 2 is higher.

Hence, the overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.

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Answer:

3/80  person weight is 220

Step-by-step explanation:

Answer:

The last year value of the house will be $230,000.

Step-by-step explanation:

GIVEN: Decrease in house price = 20%

            Current house price = $184,000

TO FIND: Value of the house last year

SOLUTION:

If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.

Let the value of the house last year be 'x'.

If the value of the house today is  $184,000, then:

                           \(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)

Therefore, the last year value of the house will be $230,000.

Answer:

Hi, I believe the volume of the rock would be 10 mL.

If the beaker originally had 20 mL of water and then the rock turned it to 30 mL, subtract 20 from 30 and you get 10mL

Hope this helps!!!

The volume of the rock is 10 mL as per the concept of subtraction.

To find the volume of the rock, we can use the principle of displacement. When the rock is placed in the beaker, it displaces a certain volume of water equal to its own volume.

The increase in water level from 20 mL to 30 mL represents the volume of the rock.

The volume of the rock = Final volume of water - Initial volume of water

Volume of the rock = 30 mL - 20 mL = 10 mL

Therefore, the volume of the rock is 10 mL. The rock occupies an additional 10 mL of space in the beaker when submerged in the water.

This principle of displacement is based on the fact that the total volume of water and the rock combined remains the same as the initial volume of water in the beaker. By measuring the difference in water levels before and after adding the rock, we can determine the volume of the rock.

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Confounding may invalidate the conclusions of the study as it can cause a bias that can make the effect of the explanatory variable look larger or smaller than it actually is.

This means that the relationship between alcohol drinking status and incidence of lung cancer is influenced by  After the classification of smokers and non-smokers, a separate analysis can be done to find the effect of alcohol drinking on lung cancer in both groups.

Explanatory and Confounding Variable in the study :In the given study, the explanatory variable is obesity and the response variable is coronary disease. Whereas, the confounding variable is hypertension and diabetes because these diseases are associated with obesity. The confounding variable can invalidate the conclusions of the study as it can affect the relationship between obesity and coronary disease .To eliminate the effect of the confounding variable, the study can be changed in the following ways.

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1) Note that the combination of spinners that is not in their budget is: "22 Plastic and 10 Aluminum" (Option C)

2) Note that the graph that represents the inequality 10x-2y >4 is: Option A)

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare two numbers on the number line based on their size.

1) In the first prompt, the Odd combination can be deciphered simply by observation. See the attached graph, which shows that you cannot get a combination of 10 Aluminium and 22 Plastic.

2) By plotting the equation, we can exact the graph which is similar. See the graph which is similar to Option A attached.

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Answer:

  14400 cm³/s

Step-by-step explanation:

Find the rate of change of volume in terms of edge length, and evaluate the expression for the given conditions.

  V = s³ . . . . volume in terms of edge length (s)

  dV/dt = 3s²·ds/dt . . . . . . derivative of volume with respect to time

For the given values of s and ds/dt, this is ...

  dV/dt = 3(40 cm)²(3 cm/s) = 14400 cm³/s

The mode of the given data is Independents.


1. Identify the frequencies of each group: Republicans (47), Democrats (49), Independents (52).
2. Determine the group with the highest frequency: Independents have the highest frequency (52).
3. The mode is the group with the highest frequency: Independents.


The mode represents the most frequently occurring value in a dataset. In this case, we have 47 Republicans, 49 Democrats, and 52 Independents. The group with the highest frequency is Independents with 52, making it the mode.


After comparing the frequencies of Republicans, Democrats, and Independents, we can conclude that the mode of the given data is Independents, as they have the highest frequency (52) among the three groups.


The mode is a measure of central tendency that shows the most frequently occurring value in a dataset. In the given data, we have three groups: 47 Republicans, 49 Democrats, and 52 Independents. To find the mode, we need to identify the group with the highest frequency. In this case, Independents have the highest frequency with 52. Thus, the mode of the given data is Independents.

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Answer: True

Step-by-step explanation:    

240 homes in the county are between $175,000 and $225,000.

The image attached is associated with this question and m in it refers to the mean value which is $225000 here and d refers to the standard deviation which is $25000 here.

Now since m= $225000

and $175000= $225000-$50000= $225000-(2* $25000)= m-2d

Thus, as per the image area covered between m and m-2d=  $225000

and $175000 is (34%+14%)of 500 homes= 68% of 500= 240 homes, is the answer.

A random variable X is said to follow a normal distribution if its parameters are mean and standard deviation. Every other distribution can be reduced to a normal distribution.

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Answer:

it's 2.5 inches cool profile pic to

Step-by-step explanation:

The length of the triangle is 39 cm and the width of the triangle is 13 cm.

Triangle:

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry. A triangle with angles A, B, and C is represented by Δ ABC.

Now,

Let, width of rectangle = x cm

So, the length of rectangle = 3x

Given that,

perimeter of the rectangle = 78 cm

         2 (length + breadth )  = 78

                                 2(3x+x) = 78

Now,

  2(3x + x) = 78

⇒ 2(4x) = 78

⇒ 4x = ​78/2

⇒ 3x = 39

⇒ x = 39/3

​⇒ x = 13

​Thus, breadth/width of rectangle = 13 cm

So, length of rectangle =3x

                                       =3 × 13

                                       =39 cm

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Answer:

x

Step-by-step explanation:

Answer:

6h

Step-by-step explanation:

1 per 10 minutes

that means 6 per hour

Answer:

(3,5)

Step-by-step explanation:

Twin primes are a pair of prime numbers that differ by 2. Let's consider a pair of twin primes, p and p + 2 (where p > 3). We want to prove that the number between them, p + 1, is divisible by 6.

We know that every prime number greater than 3 can be written in the form 6k ± 1 for some integer k. This is because any integer can be written in one of six possible forms: 6k, 6k + 1, 6k + 2, 6k + 3, 6k + 4, or 6k + 5. However, we can eliminate the forms that are divisible by 2 or 3 (except for 2 and 3 themselves), leaving only 6k ± 1 and 6k ± 5. Since twin primes differ by 2, they must both be of the form 6k ± 1.

Let's consider p, the smaller of the twin primes. We know that p is of the form 6k ± 1 for some integer k. If p is of the form 6k + 1, then p + 2 is of the form 6k + 3, which is not prime (since it is divisible by 3). Therefore, p must be of the form 6k - 1. Then, p + 1 is of the form 6k, which means it is divisible by 2 and by 3.

Similarly, if p + 2 is of the form 6k - 1, then p is of the form 6k - 3, which is not prime (since it is divisible by 3). Therefore, p + 2 must be of the form 6k + 1. Then, p + 1 is of the form 6k, which means it is divisible by 2 and by 3.

Therefore, in either case, the number between the twin primes, p + 1, is divisible by 6. We have shown that this is true for any pair of twin primes except for the pair (3, 5).

Answer:

its Y=7

Step-by-step explanation:

Y=7 is already in slope form. The slope is 0.

The quadrants of the points that needs to be graphed  are:

Since the points that was given are:

A(2, 4)        B(0, -3)  

C(1, -1)       E(-4,1)    

G(-3,-2)      I(0, 2)

D(3, 3)        F(2,0)  

H(-2, 3)     J(-1,-4)

Then, we plot all the coordinate above on a graph (see image attached)

Hence, from the image attached graph, the categories that can be seen are:

Quadrant 1 is  Points A and D

Quadrant 2 is  Points E and H

Quadrant 3 is Points G and J

Quadrant 4 is Points C

x-axis-  Point F

y-axis- Point B and I

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Answer:

6x -2y = 8

-6x+5y = 7

3y = 15

y = 5

6x - 2(5) = 8

6x - 10 = 8

6x = 18

x = 3

(3, 5)

Step-by-step explanation:

HP's pricing strategy allows them to capture a larger customer base, create customer loyalty and long-term profitability.

HP uses the 'razor' and 'blade' model. Here, Laser printer is sold at a lower price while the consumables (printer cartridges) are sold at higher profit margins. This strategy aims to create a recurring revenue stream from the sales of consumables, which have higher profit margins compared to the initial printer sale.

By relying on the sales of consumables, HP diversifies its revenue streams. While printer sales may have lower profit margins, the higher profit margins from consumables help offset those costs and contribute to overall profitability. This reduces HP's reliance on a single revenue source and improves financial stability.

Therefore , HP is leaning towards a scheme which aims at long-term profitability.

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Answer:

1/5c -43 =p

Step-by-step explanation:

c = 5p + 215

Subtract 215 from each side

c-215 = 5p +215-215

c-215 = 5p

Divide each side by 5

c/5 -215/5 = 5p/5

1/5c -43 =p

Answer:

D

A Step-by-step explanation:

Hope it helps

The margin of error of the poll at the 99% confidence level is ±3.81%.

To find the margin of error, we can use the formula:

Margin of Error (MoE) = Z * √(p* (1 - p) / n)

Where:

Z is the critical value corresponding to the desired confidence level. For a 99% confidence level, Z ≈ 2.576 (obtained from standard normal distribution tables).

p is the proportion of respondents who said they liked dogs, which is 54% or 0.54 in decimal form.

n is the sample size, which is 270 in this case.

Now, plug the values into the formula:

MoE = 2.576 * √(0.54 * (1 - 0.54) / 270)

MoE ≈ 2.576 * √(0.54 * 0.46 / 270)

MoE ≈ 2.576 * √(0.2484 / 270)

MoE ≈ 2.576 * √0.00091925925926

MoE ≈ 2.576 * 0.0303145

MoE ≈ 0.07803378

Converting to a percentage, the margin of error is approximately 7.80%, or ±3.81%. This means that with 99% confidence, the true proportion of people who like dogs is likely to be within 54% ± 3.81% (i.e., between 50.19% and 57.81%).

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Answer:

\(\large\boxed{x = -2/3}\)

Step-by-step explanation:

-4(-6x + 5) = 4

Divide both sides of the equation by -4

-6x + 5 = -1

Subtract 5 from both sides of the equation

-6x = 4

Divide both sides of the equation by -6

x = 4/-6

Simplify

\(\large\boxed{x = -2/3}\)

Hope this helps :)