Answer:no
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
What is the circumference of the following circle?
Use 3.14 for π and enter your answer as a decimal.
units
You might need: Calculator
r = 7
Answer:
\(14\pi\)
Step-by-step explanation:
\(C=(2\pi)(7)=14\pi\)
The circumference of a circle of radius 7 units is 43.96 units.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know the perimeter or the circumference of a circle is 2πr.
Given, A circle with radius 7 units.
Therefore the circumference of a circle of radius 7 units is,
= 2π(7) units.
= 14π units.
= 43.96.
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use the given graph of f(x) = x to find a number δ such that if |x − 4| < δ then x − 2 < 0.4.
Using the given graph of f(x) = x to find a number δ such that if |x − 4| < δ then x − 2 < 0.4, we can say that if |x - 4| < δ, where δ = 0.4, then x - 2 < 0.4.
Let's define the function f(x) = x and use the given graph of the function to find the value of δ, such that if |x - 4| < δ then x - 2 < 0.4. Let's take a look at the graph given below: Now, let's take the two points on the graph such that the vertical distance between the points is 0.4.The points are (4, 4) and (4.4, 4.4).
From the graph, we can see that if x < 4.4, then the function f(x) will have a value less than 4.4, which means that x - 2 will be less than 0.4.Therefore, we can say that if |x - 4| < δ, where δ = 0.4, then x - 2 < 0.4.
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State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
\(\frac{a}{sin(A)}\) = \(\frac{b}{sin(B)}\)
substitute the given values
\(\frac{23}{sin(61)}\) = \(\frac{24}{sin(B)}\)
sin (B) = \(\frac{24}{23}\)Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
\(\frac{a}{sin(A)}\) = \(\frac{c}{sin(C)}\)
substitute the given values
\(\frac{23}{sin(61)}\) = \(\frac{c}{sin(53.13)}\)
c = \(\frac{23}{sin(61)}\)SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle
Answer:
The answer is 2 triangles
Step-by-step explanation:
I took the test.
What is the perimeter of a rectangle that has a diagonal of 34.9 feet and a length of 9 feet?
Answer: 85.44 ft
Step-by-step explanation:
math
1) 28/z - z/4 + 1 1/8, when z = 4
A) 7 1/8
B) 4 7/8
C) 9 1/8
D) -5 7/8
2) n+23.1/ 3n - 8n, when n = 2.1
A) -12.8
B) -8.4
C) 20.8
D) -20.8
Answer:
Step-by-step explanation:
9 + 11 = 10 so 120=69 69-5 = 13 answer is 13
Which function has zeros of -8, 1, and 3? A. y = (x − 3)(x + 8)(x − 1) B. y = (x + 1)(x − 8)(x + 3) C. y = x(x + 8)(x − 3) D. y = x(x + 3)(x − 8)
Answer:
A
Step-by-step explanation:
In each binomial, just flip the sign before the constant, and that number is a zero.
So for example if you have (x+1), a zero would be -1, if you have (x-8), a zero would be 8, etc.
The zeros of a function are the values of x, when the function equals 0.
The function that has zeros of -8, 1 and 3 is: (a) \(\mathbf{ y = (x - 3)(x + 8)(x - 1)}\)
The zeros are given as:
\(\mathbf{Zeros = -8, 1, 3}\)
Rewrite as:
\(\mathbf{x = -8, 1, 3}\)
Equate to 0
\(\mathbf{x +8 = 0,\ x - 1 = 0,\ x - 3 = 0}\)
Multiply the equations
\(\mathbf{(x +8) \times (x - 1) \times (x - 3) = 0\times 0 \times 0}\)
\(\mathbf{(x +8) \times (x - 1) \times (x - 3) = 0}\)
Express as a function
\(\mathbf{y = n(x +8) \times (x - 1) \times (x - 3) }\)
Where:
\(\mathbf{n \ne 0}\)
The above equation represents functions that have zeros of -8, 1, and 3
By comparing the options, we have:
\(\mathbf{ y = (x - 3)(x + 8)(x - 1)}\) is \(\mathbf{y = n(x +8) \times (x - 1) \times (x - 3) }\), where n = 1
Hence, the function that has zeros of -8, 1 and 3 is:
(a) \(\mathbf{ y = (x - 3)(x + 8)(x - 1)}\)
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MEASUREMENT A 10-foot-long ladder leans against a wall so that the ladder and the
wall form a 30° angle. What is the distance from the ground to the point where the
ladder touches the wall? Round the answer to the nearest tenth of a foot.
Well visualize a 10 foot ladder leaning on a wall and how the space from the distance of the wall are gonna form an angle in this question it tells you it forms a 30 degree angle so your gonna go up 10 feet and out how much the angle is on a slant and multiply the two numbers?
the space between is what your determining.
/l
/ l < that is the wall
/ l
/ l
^that is the ladder
JustMaths
23. White paint and red paint are mixed together in the ratio 2 : 3
(a) Draw a graph that can be used to work out the amount of red paint needed given
the amount of white paint.
Your graph must show up to 10 litres of white paint.
Red
paint
-O
1 2
13
-4
5 6 7
White paint
8 9 10
The corresponding amount of red paint is approximately 13.5 liters.
To draw a graph showing the amount of red paint needed for a given amount of white paint in a 2:3 ratio, plot two points: (2, 3) and (4, 6), then draw a straight line through them.
How to find the amount of red paint needed?To find the amount of red paint needed for a mixture of 9 liters of white paint, plot 9 on the x-axis and draw a vertical line up to the ratio line.
From the intersection point, draw a horizontal line to the y-axis to find the corresponding amount of red paint, which is approximately 13.5 liters.
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Cameron has 75% as many shirts as her brother. How many shirts does her brother have if Cameron has 9 shirts?
A) 3 shirts
B) 9 shirts
C) 12 shirts
D) 16 shirts
If a designer sold 2,000 units of a dress with total sales of $190,000, what was the average price of the garment?
Answer:
$95
Step-by-step explanation:
We can divide 190,000 by 2,000, since we're assuming they all cost the same. This gets us to our answer, 95. Therefore, each garment cost $95 on average.
PLSSSSSS HURRY ND ANSWER I DONT HAVE TIME FR
Answer: D
Step-by-step explanation: 200/4=50, they must sell a minmum of 50 pies to make a minimum of $200. It's D because it denotes any sale of 50 pies or greater. You use a closed circle on a number line when referring to 'greater than or equal to' (at least) and 'less than or equal to' (at most).
Help i dont get this one ASAP
The number of ways is 1 billion.
We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.
In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.
Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.
Hence the number of ways is 1 billion.
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En un triángulo rectángulo, uno de los ángulos agudos mide 25 grados. ¿Cuanto mide el otro ángulo?
Answer:
Step-by-step explanation:
Si
The measure of the other acute angle in the right triangle is 65 degrees.
In a right triangle, one of the acute angles measures 90 degrees, which is the right angle. The sum of the measures of the two acute angles in a right triangle is always 90 degrees.
Given that one of the acute angles measures 25 degrees, we can find the measure of the other acute angle by subtracting 25 degrees from 90 degrees:
Measure of the other acute angle = 90 degrees - 25 degrees
Measure of the other acute angle = 65 degrees
Therefore, the measure of the other acute angle in the right triangle is 65 degrees.
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The question is in Spanish the question in English is :
In a right triangle, one of the acute angles measures 25 degrees. What is the measure of the other angle?
After spending $300,000 for researcl and development, chemists it a new breakfast drink, The Diversified Citrus Industries have developeder with twice the amount of vitamin C currently available we introduced to the breakfast dion 8 -ounce cans nationally. which is estimated to bement concern is the decided to use newspaper One major managely, management Zap in the introductory year and dis. marketing. According to promote Zap ar that account for 65 percent of tribute Zap in major metropolitan aper advertising will carry a coupon U.S. breakfast drink volume. Newser to receive $0.20 off the price of the first can that will entitle the consumer receive the regular margin and be will restries. Past experied purchased. The retailer will bectiversified Citrus ind be introductory year, one indicates that for every five cans sold during the introductory year, one adverting campaign coupon will be returned. The cost of the $250,000. Other fixed overhead costs (excluding coupon returns) will be $25. are expected to be $90,000 per year. Management has decided that the $0.50. The only unit variable costs for sumer for the 8 -ounce can will be $0.50. The only $0 for labor. The company inthe product are $0.18 for materials and $0.06 percent off the suggested retail price tends to give retailers a margin of 20 percent of the retailers' cost of the item. a. At what price will Diversified Citrus Industries be selling its prod. uct to wholesalers? b. What is the contribution per unit for Zap? c. What is the break-even unit volume in the first year? d. What is the first-year break-even share of market?
Diversified Citrus Industries will sell Zap to wholesalers at a price of $0.035 per 8-ounce can. The contribution per unit for Zap is -$0.205, indicating potential profitability issues.
a. To determine the price at which Diversified Citrus Industries will be selling its product to wholesalers, we need to consider the suggested retail price, the unit variable costs, and the desired margins for retailers and wholesalers. The suggested retail price to the consumer for the 8-ounce can is $0.05. The unit variable costs for the product are $0.18 for materials and $0.06 for labor. The company intends to give retailers a margin of 20% off the suggested retail price and wholesalers a margin of 10% of the retailer's cost.
Price to Wholesalers = Suggested Retail Price - Retailer's Margin - Wholesaler's Margin
Price to Wholesalers = $0.05 - ($0.05 * 20%) - ($0.05 * 10%)
Price to Wholesalers = $0.05 - $0.01 - $0.005
Price to Wholesalers = $0.035
Therefore, Diversified Citrus Industries will be selling its product to wholesalers at a price of $0.035 per 8-ounce can.
The contribution per unit for Zap can be calculated by subtracting the unit variable costs from the selling price to wholesalers:
Contribution per Unit = Price to Wholesalers - Unit Variable Costs
Contribution per Unit = $0.035 - ($0.18 + $0.06)
Contribution per Unit = $0.035 - $0.24
Contribution per Unit = -$0.205
Since the contribution per unit is negative, it means that the variable costs exceed the price to wholesalers. This suggests that the product may not be profitable in its current pricing and cost structure.
The break-even unit volume in the first year can be calculated by dividing the fixed overhead costs by the contribution per unit:
Break-even Unit Volume = Fixed Overhead Costs / Contribution per Unit
Break-even Unit Volume = $90,000 / (-$0.205)
However, since the contribution per unit is negative, the break-even unit volume cannot be determined using this approach.
The first-year break-even share of the market cannot be determined based on the information provided. The total market size and the expected sales volume of Zap are not specified, making it impossible to calculate the market share at the break-even point.
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Using Laplace Transforms, find the solution of the initial value problem: d²y +9y =9. sin(t). U(t - 3), = y(0) = y'(0) = 0 dx²
The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.
To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:
Take the Laplace transform of the given differential equation.
Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:
s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:
s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Solve for Y(s).
Combining like terms, we have:
Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))
Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:
Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)
Simplifying further, we have:
Y(s) * (s⁴ + 10s² + 9) = 9s² + 9
Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)
Partial fraction decomposition.
To proceed, we need to decompose the right side of the equation using partial fraction decomposition:
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)
Multiplying through by (s⁴ + 10s² + 9), we have:
9s² + 9 = A(s² + 9) + B(s² + 1)
Equating the coefficients of like powers of s, we get:
9 = 9A + B
0 = A + B
Solving these equations, we find:
A = 0
B = 0
Therefore, the decomposition becomes:
Y(s) = 0/(s² + 1) + 0/(s² + 9)
Inverse Laplace transform.
Taking the inverse Laplace transform of the decomposed terms, we find:
L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}
The inverse Laplace transform of 0/(s² + 1) is 0.
The inverse Laplace transform of 0/(s² + 9) is 0.
Combining these terms, we have:
Y(x) = 0 + 0
Therefore, the solution to the initial value problem is:
y(x) = 0
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(Find the GCF of the set of monomials) and if you can help with the other four that would be greatly appreciated
75,27 the GCF =
Answer:
ба ман нуқтаҳо лозиманд :) умедворам шумо мефаҳмед
Step-by-step explanation:
Answer:
What is the GCF of 75 and 27? The GCF of 75 and 27 is 3.
Step-by-step explanation:
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions. Round the intermediate calculations for z value to 2 decimal places.
a. What is the probability of completing the exam in one hour or less (to 4 decimals)?
b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes (to 4 decimals)?
c. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to the next whole number)?
a. Probability of completing the exam in one hour or less is 0.0228. b. Probability of completing the exam in more than 60 minutes but less than 75 minutes is 0.2857. c. About 10 students are expected to be unable to complete the exam in the allotted time.
a. To find the probability of completing the exam in one hour or less, we need to convert one hour (60 minutes) into a z-score using the formula:
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean, and σ is the standard deviation. So, we have:
z = (60 - 80) / 10 = -2
Using a standard normal distribution table or a calculator, we find that the probability of a z-score being less than or equal to -2 is 0.0228 (to 4 decimals). Therefore, the probability of completing the exam in one hour or less is 0.0228.
b. To find the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes, we need to convert both values into z-scores:
z1 = (60 - 80) / 10 = -2
z2 = (75 - 80) / 10 = -0.5
Then, we can find the probability between these two z-scores using a standard normal distribution table or a calculator. The probability is:
P(-2 < z < -0.5) = P(z < -0.5) - P(z < -2)
= 0.3085 - 0.0228
= 0.2857 (to 4 decimals)
Therefore, the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes is 0.2857.
c. We know that the mean time to complete the exam is 80 minutes and the standard deviation is 10 minutes. To find the number of students who will be unable to complete the exam in the allotted time of 90 minutes, we need to find the number of students whose completion time is greater than 90 minutes.
We can convert 90 minutes into a z-score using the formula:
z = (x - μ) / σ = (90 - 80) / 10 = 1
Using a standard normal distribution table or a calculator, we find that the probability of a z-score being greater than 1 is 0.1587.
So, the proportion of students who will be unable to complete the exam in 90 minutes is 0.1587. To find the actual number of students, we can multiply this proportion by the total number of students:
0.1587 x 60 ≈ 9.52
Therefore, we can expect about 10 students to be unable to complete the exam in the allotted time.
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CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3x^2-3x+8-9/x+1
Step-by-step explanation:
Solved previously.In a certain isosceles right triangle, the altitude to the hypotenuse has length $6$. What is the area of the triangle
Since the triangle is an isosceles right triangle, we know that two of its sides are congruent and the other side is the hypotenuse.
Let's denote the length of each congruent side as "x". According to the properties of an isosceles right triangle, we can determine the length of the hypotenuse using the Pythagorean theorem:
hypotenuse^2 = x^2 + x^2
hypotenuse^2 = 2x^2
hypotenuse = √(2x^2) = √2x
Given that the altitude to the hypotenuse has a length of $6, we can set up the following equation:
(1/2) * x * (√2x) = 6
To find the area of the triangle, we multiply the base (x) by the height (√2x) and divide by 2:
Area = (1/2) * x * (√2x)
Area = (√2/2) * x^2
Now, we can solve the equation for x to find the value of x:
(√2/2) * x^2 = 6
x^2 = (6 * 2) / √2
x^2 = 12√2
x ≈ √(12√2)
Substituting this value of x back into the area formula:
Area = (√2/2) * (√(12√2))^2
Area = (√2/2) * 12√2
Area = 6 * 2
Area = 12
Therefore, the area of the isosceles right triangle is 12 square units.
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Halle en metros cuadrados la cantidad de cartón necesaria para elaborar el sólido que se muestra:: POR FIS ES DE UNA EVALUACION ALGUIEN QUE ME AYUDEEE:).
Answer:
La cantidad de cartón necesaria para hacer el sólido es de 165 m² de cartón.
Step-by-step explanation:
La figura en la pregunta consta de tres formas
1) Una pirámide cuadrada
Altura inclinada = 5 m
Longitud lateral base = 3 m
2) un cubo
Longitud lateral, s = 3 m
3) Un prisma rectangular
Longitud = 6 m
Altura = 3 m
Ancho = 3 m
El área de superficie de la pirámide cuadrada, \(S_P\) = 2 × Altura inclinada × Longitud del lado base
\(S_P\) = 2 × 5 × 3 = 30 m²
El área de superficie del cubo, \(S_C\) = 6 ×(Longitud lateral, s)²
\(S_c\) = 6 × 3² = 54 m²
El área de superficie del prisma rectangular, \(S_R\) = 4 × largo × alto + ancho × alto
\(S_R\) = 4 × 6 × 3 + 3 × 3 = 81 m²
La cantidad de cartón necesaria para hacer el sólido, \(S_S\) = \(S_P\) + \(S_C\) + \(S_R\)
\(S_S\) = 30 + 54 + 81 = 165 m².
La superficie del cartón necesaria para construir el sólido es de 165 m².
Suppose that the length X of the life (in years) of a battery for a computer has a distribution that can be described by the pdf: f(x) = 16/49 e^-8x^2/49 Determine the probability that the battery fails before the one year warranty expires on the computer. a) 0.8494 b) 0.2773 c) 0.3506 d) 0.1506 e) 0.3773 f) None of the above
The answer is (a) 0.8494, to find the probability that the battery fails before the one year warranty expires,
we need to calculate the integral of the given pdf from 0 to 1, as X represents the length of the battery life in years.
So, P(X<1) = ∫(0 to 1) f(x) dx = ∫(0 to 1) (16/49) e^(-8x^2/49) dx ≈ 0.8494
Therefore, the answer is (a) 0.8494.
The given pdf describes the distribution of the length of the battery life, and we are interested in finding the probability that the battery fails before the one year warranty expires.
This can be found by integrating the pdf from 0 to 1, as the warranty lasts for one year.
Using the formula for the probability density function, we calculate the integral of the given pdf from 0 to 1, and get the answer as 0.8494.
This means that the probability of the battery failing before the one year warranty expires is about 84.94%.
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A study on the average minutes spent by students on internet usage is 300 with a standard deviation of 102. Answer the following questions assuming a bell-shaped distribution and using the empirical rule. What percentage of students use the internet for more than 402 minutes?.
The percentage of students that use the internet for more than 402 minutes = 16%
Percentage
Percentage, often referred to as percent, is a fraction of 100. Percentage means "per 100," and denotes part a total amount. For example, 45% represents 45 out of 100.
calculate the percentage-
The empirical rule states that
68% of the population lies within 1 standard deviation of the mean
95% of the population lies within 2 standard deviations of the mean
99.7% of the population lies within 3 standard deviations of the mean
Standard Deviation
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
The percentage will be illustrated in this:
P(X > 402) = P(X > 30 + 1 × 102)
= (1-0.68) / 2
= 0.32/2
= 16%
The percentage of students that use the internet for more than 402 minutes = 16%.
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What type of transformation is this? Be specific.
Answer:
Rotation because you can see that the shape is rotated on the other half of the graph.
Step-by-step explanation:
he length of a rectangle is 1m less than twice the width, and the area of the rectangle is 21 m2. find the dimensions of the rectangle
can someone help me with this Q :)
Answer:
its the digram: )
Step-by-step explanation:
Answer:
*888888888877727723772289292
Step-by-step explanation:
88ejei49 + 710 is 49 + 710 is 10390..49 + 710 is 10390.
ill give 25 points to anyone who can answer this for me pls and thank you
Answer:
2x+6 +x-4 +4+4
Step-by-step explanation:
Hi There!!
Here's the answer below.
Step-by-step explanation:
Well, The Part A
The area is...
\((x +4)\) \((2x+6+ x-4)\)
\(=\) \((x+4) (3x+2)\)
\(=\) \(3x^{2} + 14x + 8\)
Now, We finish Part A.
We got to do Part B.
The length is \(x-4\) and it's \(12\)
\(x-4 = 12\)
\(x = 12 +4\)
\(x = 16\)
Now, We got to the area.
\(3(16)^{2} + 14(12) + 8\)
\(= 3(256) + 168 + 8\)
\(= 768 + 176\)
\(= 994\)
So, Your best answer choice is \(994\)
#\(Be\) \(Bold\)
\(_{Loserbrazts}\)
(166-4. Consider the following problem. Minimize Z=2x
1
+x
2
+3x
3
, subject to
5x
1
+2x
2
+7x
3
=420
3x
1
+2x
2
+5x
3
≥280
and x
1
≥0,x
2
≥0,x
3
≥0. Introduce artificial variables to reformulate this problem as a convenient artificial problem for preparing to apply the simplex method.
The artificial variables is x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, A1 ≥ 0, A2 ≥ 0
To reformulate the given problem as a convenient artificial problem for preparing to apply the simplex method, we introduce artificial variables. The steps to reformulate the problem are as follows:
1. Introduce the artificial variables. For each inequality constraint, introduce an artificial variable by subtracting a slack variable from the left-hand side of the inequality.
The problem can be reformulated as follows:
Minimize Z = 2x1 + x2 + 3x3
subject to:
5x1 + 2x2 + 7x3 + A1 = 420 (Equation 1)
3x1 + 2x2 + 5x3 + A2 = 280 (Equation 2)
where A1 and A2 are the artificial variables.
2. Rewrite the problem with the added artificial variables. The reformulated problem becomes:
Minimize Z = 2x1 + x2 + 3x3 + 0A1 + 0A2
subject to:
5x1 + 2x2 + 7x3 + A1 = 420 (Equation 1)
3x1 + 2x2 + 5x3 + A2 = 280 (Equation 2)
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, A1 ≥ 0, A2 ≥ 0
By introducing the artificial variables, we have transformed the original problem into a convenient artificial problem that can be solved using the simplex method.
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The complete question is:
Consider the following problem.
Minimize
Z = 2x_{1} + x_{2} + 3x_{3}
x_{3} >= 0
subject to
5x_{1} + 2x_{2} + 7x_{3} = 420
3x_{1} + 2x_{2} + 5x_{3} >= 280
and
x_{1} >= 0
x_{2} >= 0
Introduce artificial variables to reformulate this problem as a convenient artificial problem for preparing to apply the simplex method.
Help me please??!!!
Answer:
its the second 1
Step-by-step explanation:
i had last week and got a 88.87%
If I started at 7:20 and ended at 8:07 how much times is that?
Answer:
47 minutes
Step-by-step explanation:
Consider the polynomials p(X)=21x - 4x^2 and q(X)=5 . Find the X coordinate(s) of the point(s) of intersection of these two polynomials. What is the sum of these X coordinates? (If there is only one point of intersection, give the corresponding X -coordinate.)
19/4
21/8
21/4
9
None of the above
the X coordinates of the points of intersection are 5 and 1/4, and their sum is 5 + 1/4 = 21/4.
So the correct answer is (B) 21/8.
To find the X coordinate(s) of the point(s) of intersection of the two polynomials, we need to find the values of x that satisfy the equation p(x) = q(x). Substituting the given expressions for p(x) and q(x), we get:
21x - 4x^2 = 5
This is a quadratic equation in x. Rearranging and setting equal to zero, we get:
4x^2 - 21x + 5 = 0
Using the quadratic formula, we can solve for x:
x = [21 ± sqrt(21^2 - 4(4)(5))]/(2(4))
x = [21 ± sqrt(441 - 80)]/8
x = [21 ± sqrt(361)]/8
x = [21 ± 19]/8
x = 40/8 = 5 or x = 2/8 = 1/4
Therefore, the X coordinates of the points of intersection are 5 and 1/4, and their sum is 5 + 1/4 = 21/4.
So the correct answer is (B) 21/8.
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