Answer:
Hi
Please mark brainliest
May someone please help me
Answer:
ok but helppp meeeee nothinggggg
Consider the following LP: maxz=
s.t.
5x 1
+3x 2
4x 1
+2x 2
≤12
4x 1
+x 2
≤10
x 1
+x 2
≤4
x 1
,x 2
≥0
(a) Solve the LP graphically. (b) Solve the LP using the Simplex Method. (c) Identify all basic feasible solutions corresponding to each tableau of the Simplex Method and find the corresponding point in the graph. (d) Is the LP degenerate? Why? (e) Is the LP unboundend, does it have multiple optimal solutions or is the optimal solution unique? Use the final tableau to establish your answer.
By analyzing the final simplex tableau, we can establish whether the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution.
(a) Solving the LP graphically:
First, let's graph the constraints:
5x1 + 3x2 ≤ 12
4x1 + 2x2 ≤ 10
x1 + x2 ≤ 4
x1, x2 ≥ 0
Plotting these constraints will create a feasible region bounded by the lines and the non-negativity constraints.
Next, we need to identify the corner points of the feasible region. To do this, we can solve each pair of intersecting lines to find the intersection points.
Once we have the corner points, we can evaluate the objective function z = 5x1 + 3x2 at each corner point to determine the optimal solution point that maximizes z.
(b) Solving the LP using the Simplex Method:
The initial simplex tableau is formed by adding slack variables to the constraints and setting up the objective function row.
After performing the simplex iterations, we can obtain the final simplex tableau and read the optimal solution from it.
(c) Identifying all basic feasible solutions corresponding to each tableau of the Simplex Method and finding the corresponding point in the graph:
In each tableau of the Simplex Method, the basic feasible solutions correspond to the variables that have a value of zero in the objective row.
For each tableau, we can identify the basic feasible solutions and their corresponding points in the graph by setting the non-basic variables to zero and solving for the basic variables.
(d) Determining if the LP is degenerate:
An LP is considered degenerate if there are multiple solutions that give the same optimal objective function value.
To determine if the LP is degenerate, we need to examine the final simplex tableau and check if there are multiple solutions with the same optimal objective function value.
(e) Establishing if the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution:
We can determine if the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution by examining the final simplex tableau.
If there is a column in the objective row with all negative values or a row with all non-positive values, the LP is unbounded.
If the optimal objective function value appears multiple times in the objective row, the LP has multiple optimal solutions.
If the optimal objective function value appears only once and there are no other non-positive values in the objective row, the LP has a unique optimal solution.
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What is the volume of this cube?
A. 4
B.3
C.6
D.1
Step-by-step explanation:
Length of cube (L) = 1 ft
Volume of the cube
= L³
= 1³
= 1 ft³
Hope it will help :)❤
Answer:
D) 1
Step-by-step explanation:
D)1
to find the area follow the formula length * width * height
l * w * h
substitute the numbers
1 * 1 * 1
= 1
Eyes Spinal Cord Brain All of these are part of which organ system? A) circulation B) digestive C) nervous D) skeletal
Answer:
C) nervous
In this organelle, carbon dioxide and water are converted to _________ and oxygen.
~glucose
Step-by-step explanation:
The product of two numbers is 176 difference is 48
What does absolute value of -6 look like?
Answer:
Absolute value of |-6| is 6.
Step-by-step explanation:
6
Answer:
Hi! i think its like |-6| = 6
Step-by-step explanation:
Please let me know if I'm wrong I hope this helped
Write the equation of a circle where the endpoints of a diameter are (4,9) and (4,-3).
The equation of a circle having endpoints of diameter as (4,9) and (4,-3) is (x - 4)² + (y - 3)² = 36.
The "center" of circle is called as midpoint of diameter.
The "x-coordinate" of "mid-point" is = (4+4)/2 = 4, and
The "y-coordinate" of "mid-point" is = (9+(-3))/2 = 3.
So, center of circle is (4,3),
The radius of circle is half the length of the diameter, which is distance between two endpoints of diameter. We find distance using distance formula:
⇒ distance = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁,y₁) and (x₂,y₂) are "end-points" of diameter.
⇒ distance = √((4 - 4)² + (9 - (-3))²)
⇒ √(144) = 12.
So, radius is 6.
The equation of circle with center (h,k) and radius "r" is : ⇒ (x - h)² + (y - k)² = r²,
Substituting the values
We get,
⇒ (x - 4)² + (y - 3)² = 6²,
⇒ (x - 4)² + (y - 3)² = 36,
Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 36.
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Andre says, “I multiplied 4 by 5, then cubed the result.” Select all expressions that equal Andre’s answer.
Answer:
20³
(4.5)³
8000
Step-by-step explanation:
according to the question
(4.5)³
20³
20×20×20
8000
Answer:
8000 or (4*5)^3
Step-by-step explanation:
What is the sum of the interior angles of a 67 gon
In the case of a 67-gon, it has 65 triangles, and each triangle contributes 180 degrees to the sum. Thus, the sum of the interior angles of the 67-gon is 11,700 degrees.
The sum of the interior angles of any polygon can be found using the formula:
Sum of interior angles = (n - 2) * 180 degrees,
where n represents the number of sides or vertices of the polygon.
In the case of a 67-gon, where n = 67, we can substitute the value into the formula:
Sum of interior angles = (67 - 2) * 180 degrees
= 65 * 180 degrees
= 11,700 degrees.
Therefore, the sum of the interior angles of a 67-gon is 11,700 degrees.
To understand why this formula works, we can consider the polygon as a collection of triangles. A polygon with n sides can be divided into (n - 2) triangles by drawing diagonals from one vertex to the other vertices. Each triangle has an interior angle sum of 180 degrees.
Since there are (n - 2) triangles in an n-sided polygon, the sum of the interior angles is (n - 2) multiplied by the sum of the angles of one triangle, which is 180 degrees. Hence, the formula (n - 2) * 180 degrees gives us the total sum of the interior angles.
In the case of a 67-gon, it has 65 triangles, and each triangle contributes 180 degrees to the sum. Thus, the sum of the interior angles of the 67-gon is 11,700 degrees.
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PLEASE HELP!!!!!!!!!!!!!!!!!! EXTRA POINTS AND BRAINLIEST I AM BEGGING OYU!!!!!!!!!!!!!!!! OPLEASE!!!!!!!!!!!!!!!!!!
Answer:
156.25
Step-by-step explanation:
8x2 (2 years) = 16. 2500 / 16 = 156.25
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
What is the volume of a right rectangular prism with length 10 units, width 5 units, and height 3 units?
18 units³
45 units³
80 units³
150 units³
Answer:
V=150
l Length
10
w Width
5
h Height
3
Step-by-step explanation:
hope im right!
Answer:
It is 150!
Step-by-step explanation:
Took the test!
Please mark as brainliest!
-KanaKittyKat
a simple random sample of 500 students at umass boston is taken to estimate the percentage of all students at the university who own a dog or cat. of the students in the sample, 34.8% have a dog or cat.
The 95%-confidence interval for the percentage of students at UMass Boston who own a dog or cat is (30.6% , 39.0%) .
In the question ,
it is given that ,
the number of students in the sample is (n) = 500 ,
percent of students that have a dog or cat is (p) = 34.8% = 0.348 ,
For 95% confidence interval for proportion , the Z critical value is
Z = 1.96 ,
So , the 95% confidence interval can be calculated using the formula ,
= (p ± Z*√(1-p)/n)
= (0.348 ± 1.96*√(1 - 0.348)/500)
Simplifying further ,
we get ,
= (0.348 ± 0.042)
= (0.348-0.042 , 0.348+0.042)
= (0.306 , 0.390)
= (30.6% , 39.0%)
Therefore , the 95% confidence interval is (30.6% , 39.0%) .
The given question is incomplete , the complete question is
A simple random sample of 500 students at UMass Boston is taken to estimate the percentage of all students at the university who own a dog or cat. of the students in the sample, 34.8% have a dog or cat . Find a 95%-confidence interval for the percentage of students at UMass Boston who own a dog or cat is ?
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a 50 foot ladder is set against the side of a house so that it reaches up 48 feet. of mila grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the side of the house will the ladder reach now?
The ladder on pulling 6 feet father from the house now reaches 45.83 feet, which is lower than previous height.
The distance between ladder and house, the distance till ladder reaches and length of ladder given by Pythagoras theorem. The distance till ladder reaches is perpendicular, ladder is hypotenuse and the base is horizontal distance between the two. So, finding the base first.
Base² = 50² - 48²
Base² = 2500 - 2304
Base² = 196
Base = ✓196
Base or horizontal distance = 14 feet.
Now, on moving 6 feet, the horizontal distance will be 14 + 6 = 20 feet. Finding the new height or perpendicular now.
50² = 20² + Perpendicular²
Perpendicular² = 2500 - 400
Perpendicular² = 2100
Perpendicular = 45.83 feet
Hence, the ladder now reached to 45.83 feet height of the house.
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the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME
\(25,28,32,37,43,50,58,67.\)
\(\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)
\(25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67\)
\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)
Line 1: (7,3) and (8,7)
Line 2: (-5,-4) and (-1,-5)
What is the slope, and is it parallel, perpendicular, or neither?
Answer:
lines are perpendicular
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
Calculate the slopes m of the 2 lines using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (7, 3 ) and (x₂, y₂ ) = (8, 7 )
m = \(\frac{7-3}{8-7}\) = \(\frac{4}{1}\) = 4
Repeat with
(x₁, y₁ ) = (- 5, - 4 ) and (x₂, y₂ ) = (- 1, - 5 )
m = \(\frac{-5-(-4)}{-1-(-5)}\) = \(\frac{-5+4}{-1+5}\) = \(\frac{-1}{4}\) = - \(\frac{1}{4}\)
Slopes are not equal so lines are not parallel
4 × - \(\frac{1}{4}\) = - 1
Then the 2 lines are perpendicular to each other
explanation/proof why the lines are parallel and insights
Answer:
The lines are parallel is the will never touch.
Step-by-step explanation:
Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis? A scientist claims that the mean incubation period for the eggs of a species of bird is at least 31 days. Does the claim represent the null hypothesis or the alternative hypothesis?
a. If the null hypothesis is rejected, the alternative hypothesis is accepted, and the outcomes are statistically significant.
b. When the null hypothesis is not rejected, the alternate hypothesis is not accepted, and it does not imply that the null hypothesis is true; instead, it means that the available evidence is insufficient to establish a statistically significant difference between the data and the null hypothesis.
The claim, "The mean incubation period for the eggs of a species of bird is at least 31 days" represents the alternative hypothesis.
How to interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis?
If the null hypothesis is rejected, the alternative hypothesis is accepted, and the outcomes are statistically significant.
When the null hypothesis is not rejected, the alternate hypothesis is not accepted, and it does not imply that the null hypothesis is true; instead, it means that the available evidence is insufficient to establish a statistically significant difference between the data and the null hypothesis.
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a researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. she selects two random samples and the data are shown. use for the mean number of families with no children. at , is there a difference between the means? use the critical value method and tables. no children children
To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.
Let's assume that the researcher has collected the following data:
Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.
Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.
Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.
The formula for the t-statistic is:
t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)
where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
Plugging in the numbers, we get:
t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08
The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.
Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.
Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.
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What is the range of g?
Answer: B
Explanation: The range is a set or a range of y-values of a function. In the graph, the y-value points are -7, -4, 1, 3, and 7. So, the answer is B.
:)
Answer:
the g (7) - value
Step-by-step explanation:
sana maka tulong
HELP ME PLEASE DUE NEXT WEEK
Answer:
10 oz
Step-by-step explanation:
22 1/2 oz divided by 2 1/4 oz = 10 oz
10 oz x 2 1/4 oz = 22 1/2 oz
I hope I could help!
Help please thanks I’m kinda in a rush
Answer: 11/10 x+ 3/8
Step-by-step explanation:
4/5x you can write as 8/10 x
11/10x + 3/8
Offering lots of points for the right answer! Please help with this question, thank you!
Answer:
Rotate EFG around point E by 90 degrees clockwise and then translate downwards.
Rotate EFG around point F by 90 degrees counterclockwise and then reflect on a horizontal line e is on, and then translate EFG onto triangle PQR
Step-by-step explanation:
Not going to lie, they made it a lot harder without coordinates... so sorry no explanation...
2m(3m² + 4m + 6) box method and standard form I don’t get it
Answer:
6m³ + 8m² + 12m
Step-by-step explanation:
With box, you would draw a box with dimensions 1 x 3. In the outer edge of the 1 side, you would put 2m. In the 3, you would put 3m², then 4m, then 6.
Multiply in the boxes and add total.
Then for standard, you would do
2m(3m² + 4m + 6) = 2m(3m²) + 2m(4m) + 2m(6) =
6m³ + 8m² + 12m
Hope this helps! :)
Translate this phrase into a mathematic expression: “A number less than 7”
Answer:
7 - ?
Step-by-step explanation:
Write and expression like and you should have a right answer. Hope this helps and good luck :)
Answer:
x<7
Step-by-step explanation:
Hope this helps.
What is the most common error when entering a formula is to reference the wrong cell in the formula?
The most common error when entering a formula is to reference the wrong cell in the formula.
This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.
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he school store is running a promotion on school supplies. Different supplies are placed on two shelves.
You can purchase 3 items from shelf A and 2 from shelf B for $26, or
You can purchase 2 items from shelf A and 5 from shelf B for $32.
Let x represent the cost of an item from shelf A and let y represent the cost of an item from shelf B. Write and solve a system of equations to find the cost of items from shelf A and shelf B. Show your work and thinking!
Answer:
Shelf A = $6 ;Shelf y = $4
Step-by-step explanation:
Let :
x = cost of items from shelf A
y = cost of items from shelf B
3x + 2y = 26 - - - - (1)
2x + 5y = 32 - - - - (11)
Using elimination method :
Multiply (1) by 2 and (11) by 3
6x + 4y = 52 - - - (111)
6x + 15y = 96 - - - (1V)
Subtract (1V) from (111)
-11y = - 44
y = 44/ 11 ; y = 4
Put y = 4 in (1)
3x + 2(4) = 26
3x + 8 = 26
3x = 26 - 8
3x = 18
x = 18 / 3
x = 6
You can use those variables specified to make symbolic relation between the cost and number of items. Then you can use any of the methods to solve the obtained system of equations.
The cost of items from shelf A is x = $6
The cost of items from shelf B is y = $4
Given that:
You can purchase 3 items from shelf A and 2 from shelf B for $26, orYou can purchase 2 items from shelf A and 5 from shelf B for $32.x represents the cost of an item from shelf A
y represents the cost of an item from shelf B
How to form the symbolic relation or equation between the cost and the number of items picked from each shelf?From given data, we have:
\(3 \times x + 2 \times y = \$26\\ 2 \times x + 5 \times y = \$32\)
Or, we get the system of equations as:
\(3x + 2y =26\\ 2x + 5y = 32\)
Using the method of substitution to deduce the solution:\(3x + 2y = 26\\ 2y = 26 - 3x\\ y = \dfrac{26-3x}{2} = 13 - 1.5x\)
Substituting this value of y in second equation, we get:
\(2x + 5y = 32\\ 2x + 5(13-1.5x) = 32\\ 2x - 7.5x + 65 = 32\\ -5.5x = -65 + 32\\ 5.5x = 33\\\\ x = \dfrac{33}{5.5}\\\\ x = 6\)
Using this value of x, we get:
\(y = 13 - 1.5x\\ y =13 - 1.5 \times 6\\ y = 13 - 9 = 4\)
Thus, we have:
The cost of items from shelf A is x = $6
The cost of items from shelf B is y = $4
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How many students received Ds or Fs?
Answer:
15% of the students got d's, and 5% got f's.
Answer:
15% Of Students!
Hope that this helps!!! :)
compute (r) and (x) for (a) the ground state, (b) the first excited state, and (c) the second excited state of the harmonic oscillator.
To compute the values of (r) and (x) for the different states of the harmonic oscillator, we need to consider the wavefunction solutions for each state.
The wavefunctions for the harmonic oscillator are given by Hermite polynomials multiplied by a Gaussian factor. The energy eigenvalues for the harmonic oscillator are given by (n + 1/2) * h * ω, where n is the quantum number and ω is the angular frequency of the oscillator. (a) Ground State: The ground state of the harmonic oscillator corresponds to n = 0. The wavefunction for the ground state is: ψ₀(x) = (mω/πħ)^(1/4) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₀) is equal to 1/2 * h * ω. Therefore, for the ground state: (r) = 0 (since n = 0). (x) = √(ħ/(2mω)). (b) First Excited State:The first excited state corresponds to n = 1. The wavefunction for the first excited state is: ψ₁(x) = (mω/πħ)^(1/4) * √2 * (mωx/ħ) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₁) is equal to 3/2 * h * ω. Therefore, for the first excited state: . (r) = 1. (x) = √(ħ/(mω)). (c) Second Excited State:The second excited state corresponds to n = 2. The wavefunction for the second excited state is: ψ₂(x) = (mω/πħ)^(1/4) * (2(mωx/ħ)^2 - 1) * exp(-mωx²/2ħ) where m is the mass of the oscillator. In this state, the energy (E₂) is equal to 5/2 * h * ω.
Therefore, for the second excited state: (r) = 2. (x) = √(ħ/(2mω)). In summary: (a) Ground State: (r) = 0, (x) = √(ħ/(2mω)). (b) First Excited State: (r) = 1, (x) = √(ħ/(mω)). (c) Second Excited State: (r) = 2, (x) = √(ħ/(2mω)).
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In ARST, the measure of ZT=90°, the measure of ZR=54°, and TR = 27 feet. Find the
length of RS to the nearest tenth of a foot.
S
X
54°
T
R
27
Answer:
Submit Answer
attempt 1 out of 2
Answer:
RS = 45.9 feet
Step-by-step explanation:
Let the length of RS be represented by x. In the given triangle applying the required trigonometric function, we have;
Cos θ = \(\frac{Adjacent}{Hypotenuse}\)
Cos 54 = \(\frac{27}{x}\)
⇒ x = \(\frac{27}{Cos 54}\)
= \(\frac{27}{0.5878}\)
x = 45.9340
x = 45.9 feet.
The length of RS in the given triangle is 45.9 feet.
How can you write and
solve equations involving rational numbers?
Convert the rational number to decimals, then solve it as a decimal instead, (with the optional choice of re-converting it back to rational).