braxton joins a gym.The gym charges him a $20 joining fee and will charge him $2 each month

The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

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The Interquartile Range (IQR) rule is a commonly used quantitative rule to determine univariate outliers and deleting a case may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.

The Interquartile Range (IQR) rule is a commonly used method for identifying outliers in a univariate data set. It is calculated as the difference between the 75th percentile (Q3) and the 25th percentile (Q1). Outliers are considered to be any values that fall outside of the range Q1 - 1.5 * IQR to Q3 + 1.5 * IQR. This range encompasses approximately 75% of the data, with outliers being any values that fall outside of this range.

In some cases, deleting a case or participant may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.

This decision should be made carefully and only after careful consideration of the implications, as removing data can affect the validity of the results and the conclusions that can be drawn from the analysis. In some cases, it may be better to keep the outlier and consider it a potential error or to conduct further analysis to determine if there is a valid reason for the outlier.

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Answer:

j=15

Step-by-step explanation:

Let's set up an equation:

2j+7=37

Subtract both sides by 7

2j=30

Divide both sides by 2

j=15

Answer:

15

Step-by-step explanation:

37=2j+7

so subract 7 from both sides

30=2j

then divide by 2 on each side

j=15

-13+4x

Step-by-step explanation:

Determine the opposite number of -4x +13 :

⬇️

-13 + 4x

Answer:

that's all i know please comment if it's wrong

Answer:

3150 wpm

Step-by-step explanation:

70/1=x/45

x=70*45 x=3150

Hope this helps plz hit the crown :D

Answer:

Helen can type 3150 words in 45 minutes.

Step-by-step explanation:

70 words Multiplied by 45 minutes

70×45=3150

Hope it helps!

Microbes/microorganisms adapt differently depending on the availability of different elements. The elements present in the environment play a crucial role in shaping microbial adaptations and metabolic processes.

Microbes have diverse metabolic capabilities and can utilize various elements for their growth and survival. For instance, microbes can adapt to environments rich in carbon by developing metabolic pathways to efficiently utilize carbon sources such as sugars, fatty acids, or even unconventional carbon compounds like methane. Similarly, microbes can adapt to environments with limited oxygen by employing anaerobic respiration or fermentation to generate energy. They can also adapt to environments with limited nitrogen by developing nitrogen fixation mechanisms or by scavenging nitrogen from alternative sources.

Different elements can also influence microbial community structures. For example, the availability of phosphorus can shape the composition of microbial communities in ecosystems like soils and aquatic environments. Microbes that possess efficient phosphorus acquisition mechanisms are likely to dominate in phosphorus-limited environments. Similarly, the availability of sulfur, iron, or other trace elements can impact the diversity and functionality of microbial communities.

Overall, the adaptability of microbes to different elements is a result of their genetic diversity, evolutionary history, and environmental pressures. Understanding these adaptations is crucial for studying microbial ecology, biogeochemical cycles, and developing strategies for bioremediation, biofuels production, and other applications in microbiology and environmental science.

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The relationship between the incidence angle θ₁ and refraction angle θ₂ can be plotted using Snell's Law in MATLAB or Microsoft Excel.

The plot will vary depending on the refractive indices of the two mediums involved. The cases to consider are when n₁ = 1.2 × n₂, n₁ = n₂, and n₁ = 0.8 × n₂. The plot should also mark the angle of total internal reflection.

Snell's Law describes the relationship between the angles of incidence and refraction when light passes through the interface of two different mediums.

It can be expressed as n₁sin(θ₁) = n₂sin(θ₂), where n₁ and n₂ are the refractive indices of the first and second mediums, respectively, and θ₁ and θ₂ are the angles of incidence and refraction.

To plot the relationship, you can start by selecting a range of incidence angles, θ₁, and calculate the corresponding refraction angles, θ₂, using Snell's Law. Then, plot θ₁ on the x-axis and θ₂ on the y-axis. Repeat this process for each case: n₁ = 1.2 × n₂, n₁ = n₂, and n₁ = 0.8 × n₂.

When n₁ = 1.2 × n₂, you will observe a plot where the refraction angle θ₂ is smaller than the incidence angle θ₁ for all values. This indicates that the light is bending less when passing from the first medium to the second medium.

When n₁ = n₂, the plot will show a linear relationship between θ₁ and θ₂. The refraction angle will be proportional to the incidence angle, and the slope of the line will be determined by the refractive index.

When n₁ = 0.8 × n₂, you will observe a plot where the refraction angle θ₂ is greater than the incidence angle θ₁ for all values. This indicates that the light is bending more when passing from the first medium to the second medium.

To mark the angle of total internal reflection, you need to find the critical angle. The critical angle is the incidence angle at which the refraction angle becomes 90 degrees.

Beyond this angle, total internal reflection occurs, meaning the light is completely reflected back into the first medium. In this case, you can calculate the critical angle using the equation sin(θ_c) = n₂/n₁. On the plot, mark the critical angle as well as any incidence angles beyond the critical angle where total internal reflection occurs.

By plotting the relationship between the incidence angle and refraction angle using Snell's Law, you can visualize how light bends as it passes through different mediums and observe the occurrence of total internal reflection at specific angles.

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Answer:

Brainliest Please

Step-by-step explanation:

Answer:

Center: (-3, 2)

Step-by-step explanation:

Vertex 1: (2, 2)

Vertex 2: (-8, 2)

Focus 1: (1, 2)

Focus 2: (-7, 2)

Eccentricity: 4/5

Answer:

9 m

Step-by-step explanation:

Given that:

Carousel diameter = 8m

Radius of carousel = 8m / 2 = 4m

From the attached picture :

xo = d ; from the diagram attached ;

Using Pythagoras :

Cosθ = Adjacent / hypotenus

Cos 60 = d / 4

0.5*4 = d

d = 2

d = 2m

d + length of Radius + initial distance from fence

2m + 4m + 3m = 9m

Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

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The main answer is that the probability equal to P(A) + P(B) - P(A and B) is equal to P(A or B).

To explain further, let's break down the given information. We have two events: A represents the event "the student is in the Music Club," and B represents the event "the student is in the Science Club." We are asked to find the probability that is equal to P(A) + P(B) - P(A and B).

P(A) represents the probability of selecting a student who is in the Music Club, P(B) represents the probability of selecting a student who is in the Science Club, and P(A and B) represents the probability of selecting a student who is a member of both the Music Club and the Science Club.

The expression P(A) + P(B) - P(A and B) is a commonly used formula for finding the probability of the union of two events. It accounts for the possibility of double-counting students who are members of both clubs.

In this case, P(A or B) represents the probability of selecting a student who is either in the Music Club or the Science Club (or both). Therefore, P(A or B) is equal to P(A) + P(B) - P(A and B).

Hence, the probability that is equal to P(A) + P(B) - P(A and B) is equal to P(A or B).

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Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

The distance between any two points (x1,y1) and (x2,y2) can be determined by sqrt((x2-x1)^2+(y2-y1)^2)

In this case, any vertex is translated 3 units to left, on x coordinate, and 5 units up, on y coordinate.

Therefore, the distance the quadrilateral is translated is: sqrt((-3)^2+5^2) = sqrt(34) = 5.83 units.

A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

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The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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Answer:

356

Step-by-step explanation:

Next two terms = 11 + 3 = 14

14 + 3

The rule is that the number is increasing by 3 in each term.

n th term = 2 + (n - 1)3

119 term

2 + (119 - 1)3

2 + (118)3

2 + 354

356

Answer:

Explanation:

is there a picture included in this problem? if so please comment it so i can answer this problem.

Answer:

3) Plot the points on the graphing calculator. Then generate a linear regression function. That function is:

y = -.112x + 23.448

4) (2) is correct.

Step-by-step explanation:

using the formula or so there a²+ b²= c²

so 18² + 80²= 82²

Answer:

65.94cubic inch

Step-by-step explanation:

volume of cone = 1/3πr²h

=1/3×3.14×3²×7

=3.14×3×7

= 3.14×21

=65.95

unit is inch

then

65.94cubic inch

Answer: \(8x^{3}-22x^{2} +19x-6\)

Step-by-step explanation:

Answer:

tan H = 9 / 40

Step-by-step explanation:

yeah-ya...... right?

Answer:

9/40

Step-by-step explanation:

tan = opposite/adjacent

tan H = 9/40

This cannot be simplified any more.

If weekly sales are $800, the total weekly pay would be:

p = 75 + 0.25s

p = 75 + 0.25(800)

p = 75 + 200

p = $275

Therefore, the total weekly pay for weekly sales of $800 would be $275.

The given equation, p=75+.25s represents the relationship between the total weekly pay (p) and total weekly sales (s). The equation shows that the weekly pay has two components - a fixed component of $75 and a variable component that is 25% of the total weekly sales.

To find the total weekly pay for a given weekly sales amount, we substitute the sales amount in the equation and solve for the total pay. In this case, we substitute $800 for s and get p = 75 + 0.25(800) = 75 + 200 = $275.

Therefore, if weekly sales are $800, the total weekly pay would be $275, which includes the fixed component of $75 and the variable component of $200 (25% of $800).

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Answer:

11

Step-by-step explanation:

4 times 11 is 44

Answer:B- 11

Step-by-step explanation:

Answer:

82 miles

Step-by-step explanation:

When they stop, Harry is 18 miles north and Selma is 80 miles east

Their positions form the vertices of a right triangle with legs 18 and 80

Their distance from each other will be the hypotenuse of this triangle given by the Pythagorean theorem

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

where c is the hypotenuse and a, b the shorter legs

Given a = 18, b = 80

\(c = \sqrt{18^{2} + 80^{2}}\\\\c = \sqrt{324 + 6400}\\\\c = \sqrt{6724}\\\\\\c=82\\\\\)

Answer:

19 + 21 = 40.

Step-by-step explanation:

Answer:2 hours and 45 minutes

Step-by-step explanation:

11:30+30 mins =12+15 mins = 12:15 + 2 hours = 2:15

\((\stackrel{x_1}{6}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{6}}} \implies \cfrac{ -4 }{ -8 } \implies \cfrac{ 1 }{ 2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{6}) \\\\\\ y-8=\cfrac{ 1 }{ 2 }x-3\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 2 }x+5 \end{array}}\)

Answer:

0.8

Step-by-step explanation:

Divide the total price by how many ounces of lemonade to find the unit price.

The unit price in dollars per ounce will be;

⇒ 0.8 dollar per ounce.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Jenny sells 49.5 ounces of lemonade for a total of $39.60.

Now,

Since, Jenny sells 49.5 ounces of lemonade for a total of $39.60.

Hence, The unit price = 39.60 / 49.5 dollars per ounce.

                                  = 0.8 dollar per ounce.

Thus, The unit price in dollars per ounce will be;

⇒ 0.8 dollar per ounce.

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