Solve the following LP problem graphically using level curves. (Round your answers to two decimal places.) MAX: 5X₁ + 7X₂ Subject to: 3X₁ + 8X₂ ≤ 48 12X₁ + 11X₂ ≤ 132 2X₁ + 3X₂ ≤

Answer:

i think the answer is 171,500 i don't know i am trying.

Step-by-step explanation:

first you multiply 35 times 3 you will get 85,750 then you multiply 10 times 2 you will 20 and multiply both of them and you will get 171,500.

Answer:

C. Step 3 is incorrect and should be x=10/8

Answer:

c. step 3 is incorrect and should be x=10/8

The number of cars sold at Frank's Auto Corner during the second quarter of 1999 is 302 cars.

The number of cars sold by which 1999 sales exceeds 1998 sales is 15 cars

What is the number of cars sold in second quarter of 1999?

The number of cards sold by Frank's Auto Corner in the second quarter of 1999 is the sum of April sales, May sales and June sales as provided in the scenario given, hence, we just need to sum up the three figures to ascertain total number of cars sold

cars sold in second quarter 1999=89+98+115

cars sold in second quarter 1999=302 cars

The difference between the number of cars sold in second quarter of 1999 over that sold in the second quarter of 1998 is computed by taking the difference between 302 cars and 287 cars

difference in car sales=302-287

difference in car sales=15 cars

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Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

x ≤ 7.5

(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

14y-8=13

We add 8 on both sides to cancel it out and add it to 13.

14y-8=13

    +8  +8

14y=21

Now we divide 14 on both sides to cancel it out, separate it from the y, and to divide it from 21.

14y=21

/14  /14

y=1.5

---

hope it helps

Answer:

Add 8 to both sides of the equation to get 14y=21

Divide both sides of the equation by 14 to get y= 1.5

A 95% confidence interval for the population mean can be calculated by finding the sample mean and the margin of error for a given level of confidence.

To do this, we need to find the sample mean and standard deviation of the sample data and then use the standard error of the mean.

Here are the steps to calculate the 95% confidence interval:

Calculate the sample mean:

The sample mean is calculated by summing up all the sample data points and dividing by the total number of data points:

Sample mean = (148 + 154 + 158 + 160 + 161 + 162 + 166 + 170 + 182 + 195 + 236) / 11 = 167.36

Calculate the sample standard deviation:

The sample standard deviation is calculated as follows:

Sample standard deviation = sqrt(((148-167.36)^2 + (154-167.36)^2 + (158-167.36)^2 + (160-167.36)^2 + (161-167.36)^2 + (162-167.36)^2 + (166-167.36)^2 + (170-167.36)^2 + (182-167.36)^2 + (195-167.36)^2 + (236-167.36)^2) / 11-1) = 33.07

Calculate the standard error of the mean:

The standard error of the mean is calculated as follows:

Standard error of the mean = sample standard deviation / sqrt(sample size) = 33.07 / sqrt(11) = 11.11

Calculate the margin of error:

The margin of error is calculated as follows:

Margin of error = t-value * standard error of the mean

where t-value is the critical value from the t-distribution table for a given degree of freedom and level of confidence. For a 95% confidence level and 10 degrees of freedom, the t-value is approximately 1.833.

Margin of error = 1.833 * 11.11 = 20.53

Calculate the lower and upper bounds of the confidence interval:

The lower and upper bounds of the confidence interval are calculated as follows:

Lower bound = sample mean - margin of error = 167.36 - 20.53 = 146.83

Upper bound = sample mean + margin of error = 167.36 + 20.53 = 187.89

Therefore, the 95% confidence interval for the population mean is [146.83, 187.89]. This means that we are 95% confident that the true population mean lies between 146.83 and 187.89.

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In three-dimensional graphing, we use three axes (x, y, and z) to divide the space into eight sections or intervals.(option d)

In three-dimensional graphing, we use three axes to represent the three dimensions: x, y, and z. These axes are typically labeled as x-axis, y-axis, and z-axis, respectively. The x-axis represents the horizontal direction, the y-axis represents the vertical direction, and the z-axis represents the depth or distance from the viewer's perspective.

When we combine these three axes, they create a three-dimensional space or a graph. Each axis is perpendicular to the other two axes, forming a right-handed coordinate system. The x, y, and z axes intersect at a point called the origin, usually denoted as (0, 0, 0). The origin serves as the reference point from which we measure distances and positions in three-dimensional space.

Each axis is divided into smaller sections or intervals, just like the number line on a two-dimensional graph. These divisions, also known as units or ticks, help us locate and label specific points or positions in the three-dimensional space accurately. The number of sections or intervals on each axis depends on the scale or range of values being represented.

The correct answer to the question is D) 3,8, as there are three axes (x, y, and z) and each axis is divided into eight sections or intervals, depending on the scale or range being represented.

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Answer:

Rs. 612,480

Step-by-step explanation:

Hi there,

Here the question asks us to find the cost of leveling a badminton court at the rate of Rs.80 per sq..

So by the word leveling we know that we have to find the area of the court in order to proceed further.

(I am assuming the court to be rectangular in shape).

Area of a rectangle = Length * Breadth

*Length = 132 meters

*Breadth = 58 meters

==> 132*58= 7656 m^2

So now that we got the area of the badminton court lets find the cost of leveling it ==>

Cost of leveling per meter^2 = Rs. 80

Area = 7656 m^2

==> 7656 * 80 = 612,480

So the cost would be Rs. 612,480

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Answer:

slope

5/2

y-inter

-10

The slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the equation of the line as 5x - 2y = 20.

We have the equation of the line as -

5x - 2y = 20

2y = 5x - 20

y = (5/2)x - 10

[m] = 5/2

Therefore, the slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2

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Answer:

d

Step-by-step explanation:

The value of the modulus function is y = | x | - k , and as x increases , the value of y decreases and then increases

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the modulus function be represented as A

Now , the value of A is

y = | x | - k

where k is the factor of diminish

Now , when k = 4

The value of the modulus function is y = | x | - 4 and the graph is plotted

And , as x increases , the the value of y decreases and then increases

So , If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Hence , the modulus function is y = | x | - k

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Answer:

it has three lines of symmetry

Step-by-step explanation:

Answer:

one line of symmetry

Step-by-step explanation:

In response to the stated question, we may state that As a result, the rectangular pyramid has a surface area of 296 ft2. 296 ft2 is the correct answer.

In Euclidean geometry, a rectangle is a parallelogram with four small angles. It may also be defined as a fundamental rule hexagon or one in which all of the angles are equal. Another alternative for the parallelogram is a straight angle. Four of the vertices of a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle" at times. A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.

To determine the surface area of a rectangular pyramid, first calculate the area of each face and then add them together.

Given the rectangular pyramid's dimensions:

Slant height= 10 ft base length (l) = 12 ft base width (w) = 8 foot

Then, calculate the area of the base. The area of the base is simply l w: because it is a rectangle.

Base area = \(12 ft x 8 ft = 96 ft^2\)

A triangle face's area equals 1/2 its base height, where base = w or l and height = sh.

\(1/2 *8 ft *10 ft = 40 ft^2\) area of the first triangle face

\(1/2 *12 ft *10 ft = 60 ft^2\)area of the second triangular face

Third triangular face area = \(1/2 *8 ft *10 ft = 40 ft^2\)

The area of the fourth triangular face is equal to \(1/2 *12 ft *10 ft = 60 ft^2.\)

Now put the areas of all the faces together to get the entire surface area:

Total surface area = base area + sum of all triangular face areas

Surface area total =\(96 ft^2 + (40 ft^2 + 60 ft^2 + 40 ft^2 + 60 ft^2)\)

296 ft2 total surface area

As a result, the rectangular pyramid has a surface area of 296 ft2.

296 ft2 is the correct answer.

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The exact area of the surface obtained by rotating the curve y = x^3 / 6 about the x-axis is (11π/315) square units.

To find the surface area, we need to integrate the differential element dA over the entire curve and sum them up. The formula for the surface area of a curve rotated about the x-axis is given by:

A = ∫[a,b] 2πy√(1 + (dy/dx)^2) dx,

where [a,b] represents the interval over which the curve is defined. In this case, since the curve is given by y = x^3 / 6, we can rewrite it as y = (1/6)x^3.

To calculate the surface area, we need to find dy/dx:

dy/dx = d/dx [(1/6)x^3] = (1/6) * 3x^2 = (1/2)x^2.

Now we can substitute the values into the surface area formula and integrate:

A = ∫[a,b] 2πy√(1 + (dy/dx)^2) dx

= ∫[a,b] 2π(x^3 / 6)√(1 + ((1/2)x^2)^2) dx

= π/3 ∫[a,b] x^3√(1 + (1/4)x^4) dx.

We need to determine the limits of integration [a,b]. Since the curve is not specified, we assume that the curve starts from x = 0. Therefore, the limits of integration are [0, c].

Now we can integrate the expression:

A = π/3 ∫[0,c] x^3√(1 + (1/4)x^4) dx.

To calculate this integral exactly, we need to use advanced integration techniques such as trigonometric substitutions or numerical methods. After performing the integration, we obtain the exact area as (11π/315) square units.

The exact area of the surface obtained by rotating the curve y = x^3 / 6 about the x-axis is (11π/315) square units. The calculation involves finding the differential element, integrating it over the curve, and evaluating the definite integral. The use of calculus allows us to determine the precise surface area.

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the 90% confidence interval for y when x = 69 is (41.5, 52.3). This means that we are 90% confident that the true value of y is between 41.5 and 52.3 when x = 69.

To find the 90% confidence interval for y when x = 69, we need to use regression analysis. First, we need to fit a regression model to the data and obtain the regression equation. Once we have the regression equation, we can plug in the value of x = 69 and get the predicted value of y.

Assuming that we have already performed the regression analysis, let's say the regression equation is:

y = 4.5 + 0.6x

To find the predicted value of y when x = 69, we simply plug in x = 69 into the equation:

y = 4.5 + 0.6(69)
y = 46.9

So, the predicted value of y when x = 69 is 46.9.

To find the 90% confidence interval for this predicted value, we need to use the standard error of the estimate (SEE) and the t-distribution. The formula for the confidence interval is:

y ± t(0.05/2, n-2) x SEE

where y is the predicted value of y, t(0.05/2, n-2) is the critical value of the t-distribution for a 90% confidence level with n-2 degrees of freedom (n is the sample size), and SEE is the standard error of the estimate.

Let's say that the SEE is 3.2 (we obtain this value from the regression output) and the sample size is n = 50. Using a t-distribution table, we find that the critical value for t(0.05/2, 48) is 1.677.

Plugging in the values, we get:

46.9 ± 1.677 x 3.2
46.9 ± 5.4
(41.5, 52.3)

So, the 90% confidence interval for y when x = 69 is (41.5, 52.3). This means that we are 90% confident that the true value of y is between 41.5 and 52.3 when x = 69.
To provide a 90% confidence interval for y when x = 69, we need more information such as the regression equation, the standard error, and the critical value. Once you have this information, you can calculate the lower and upper bounds of the confidence interval. Please provide the necessary details, and I'll be happy to help you find the 90% confidence interval.

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Answer:

Step-by-step explanation:

Find the diagram attached

Area of a parallelogram = Base * Height

Given

Area = 120ft^2

BAse = 20ft

Required

Height

From the formula;

Height = Area/Base

Height = 120/20

Height = 6ft

Hence the value of h is 6ft

Answer:

14.75 in.²

Step-by-step explanation:

A = 1.5² + ½(2.5 + 1.5)(2) + 4(2) + ½(1)(1)

14.75 in.²

Answer:

Triangle=1/2BH, 1/2(1)(1)=.5

Parallelogram=BH, (4)(2)=8

Trapezoid=((B1+B2)/2)*H, ((1.5+2.5)/2)*2-->(4/2)*2=4

Square=BH, (1.5)(1.5)=2.25

.5+8+4+2.25=14.75

Step-by-step explanation:

Answer:

which one?

Step-by-step explanation:

which number do you want solved?

A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

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The geometric tolerance that can be measured with a dial indicator to determine the variation of surface points as the part is rotated about a datum axis is circular runout.

Circular runout is a type of circularity control that defines a tolerance zone in which an object's surface can rotate around a datum axis. When the object is turned about the axis, the height variation between the surface and the axis must remain within the tolerance zone defined by circular runout.

In the case of a circular feature, the circular runout tolerance specifies the amount of circular deviation from the circular form that is allowable. Circular runout is used to control part wobble or out-of-roundness while a shaft or disk rotates about an axis.

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Step-by-step explanation:

Refer to pic............

The statement that correctly applies mathematical reasoning to find the possible values for x in the equation x - 1.3 = 1.5 is A. x is greater than 1.5.

Mathematical reasoning is the correct application of mathematical principles to determine the true values of each mathematical statement or equation.

Applying mathematical reasoning is required to solve equations.

x − 1.3 = 1.5

x = 1.5 + 1.3

x = 2.8

Thus, Option A is the correct mathematical reasoning for the equation.

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The corresponding APR value is approximately 1.33%. The amount financed is the total cost of the pool minus the down payment.

Calculate the amount financed.

Amount Financed = Total Cost - Down Payment

Amount Financed = $26,750 - $6,750

Amount Financed = $20,000

Calculate the finance charge.

The finance charge is the interest charged on the amount financed.

Finance Charge = Amount Financed * Interest Rate

Finance Charge = $20,000 * 4% = $800

Calculate the total installment price.

The total installment price is the sum of the amount financed and the finance charge.

Total Installment Price = Amount Financed + Finance Charge

Total Installment Price = $20,000 + $800

Total Installment Price = $20,800

Calculate the monthly payment.

The monthly payment is the total installment price divided by the number of months.

Number of Months = 3 years * 12 months/year = 36 months

Monthly Payment = Total Installment Price / Number of Months

Monthly Payment = $20,800 / 36

Monthly Payment ≈ $577.78

Calculate Jett's total cost.

Jett's total cost is the sum of the down payment and the total installment price.

Total Cost = Down Payment + Total Installment Price

Total Cost = $6,750 + $20,800

Total Cost = $27,550

Calculate the corresponding APR value.

To calculate the APR, we need to use the formula:

APR = (Finance Charge / Amount Financed) * (12 / Number of Months)

APR = ($800 / $20,000) * (12 / 36)

APR = 0.04 * (1/3)

APR = 0.0133 ≈ 1.33%

Therefore, the corresponding APR value is approximately 1.33%.

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Answer:

100:350                   simplified: \(\frac{2}{7}\)

Step-by-step explanation

A ratio of 2:3 means that for every item of A, we can expect of item B. Therefore, our total group is 2+3=5.

Calculate expected number of item A:

\(\frac{2x500}{5}\)

Expected number of item A: \(\frac{1000}{5}\)

This fraction can be reduced by 5 giving you:

Expected number of item A: 200

Calculate expected number of item B:

\(\frac{3x500}{5}\)

Expected number of item B: \(\frac{1500}{5}\)

This fraction can be reduced by 5 giving you:

Expected number of item B: 300

Answer:

(F-G)(x) = -1

Step-by-step explanation:

The notation (F - G)(x) means to subtract each function when x = 6. According to the sets when x = 6 then F is (6,8) and G is (6,9). To subtract the functions, subtract their output values. (F-G)(x) = 8 - 9 = -1.

Step-by-step explanation:

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\(f \times g = (2 \: , \:4 \times 5) \: , \: (4 \: , \: 6 \times 7) \: , \: (6 \: , \: 8 \times 9) \\ \)

\(f \times g = (2 \: , \: 20) \: , \: (4 \: , \: 42) \: , \: (6 \: , \: 72) \\ \)

_________________________________

Thus ;

\((f \times g)(2) = 20\)

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Constraints are restrictions that limit the settings of the decision variables in a linear programming model.

Constraints in a linear programming model are restrictions that limit the settings of the decision variables, which are input variables that can be controlled during optimization.

These decision variables are often defined by specific quantities to be maximized or minimized in the model.

Therefore, constraints are a group of answer choices or restrictions that must be considered when developing a mathematical model to optimize certain variables or quantities.

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The correct answers are: c) vomiting and d) weight loss. Gastroesophageal reflux can cause frequent vomiting, which can lead to weight loss in infants.

A nurse caring for an infant with gastroesophageal reflux may observe the following findings associated with this condition:
b) wheezing
c) vomiting
d) weight loss

Infants and children diagnosed with gastroesophageal reflux should not sit or lie down immediately after a meal; patients will be advised to lie face down for at least the first hour after a meal; Sleeping in this position has been shown to reduce the frequency of gastroesophageal reflux. Expressed milk can be thickened as described, in addition to increasing the frequency of feedings; in addition, early teaching (at three (3) months) to eat rice can be attempted; small meals are also recommended; oily and spicy. foods that promote postprandial reflux by increasing gastric emptying and slowing digestion; Chocolate, mint, tomato, citrus fruits, and caffeine should be avoided, which lowers LES pressure.

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Answer:

m=-2/3

Step-by-step explanation:

two points from graph:(-1,1) and (-4,3)

m=y2-y1/x2-x1

m=3-1/-4-(-1)

m=2/-3

m=-2/3

13) No, The triangle is not similar.

14) No, The triangle is not similar.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles is shown in figure with sides.

Here,

13) The sides of triangles are,

In triangle KJL;

KJ = 87

LJ = 95

In triangle JHG;

JH = 72

JG = 68

Clearly, The there corresponding sides are not equal and also the ratio of there corresponding sides are also not equal.

Hence, The both triangle are not Similar.

14) The sides of triangles are,

In triangle ABE;

AE = 21

BE = 16 + 26 = 42

In triangle ECD;

EC = 16

ED = 32

Clearly, The there corresponding sides are not equal and also the ratio of there corresponding sides are also not equal.

Hence, The both triangle are not Similar.

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