He sold the goat at 2 10% profit so he sold the goat for: 15,000 x 1.10 = 16,500
He sold the cow for a loss, so he sold the cow for 35000 x 0.80 = 28,000
Total he paid for both: 15,000 + 35,000 = 50,000
Total he sold both for: 16,500 + 28,000 = 44,500
He sold them for less than what he paid so he lost money.
Subtract sold amount from bought amount:
50,000 - 44,500 = 5,500
Divide the difference by the amount he paid:
5,500 / 50,000 = 0.11 x 100 = 11%
His loss percentage was 11%
Please help with #10 and #13!!
The angle of rotation in standard form is 251.5651 degrees.
The length of arc S is approximately 20.94 feet.
How do we solve this?If the point (-1, -3) is on the circle x² + y² = 10, then we can substitute these values for x and y in the equation to obtain:
(-1)² + (-3)² = 10
1 + 9 = 10
So, the point (-1, -3) satisfies the equation of the circle.
To find the angle of rotation in standard form, we need to use the formula:
tan(θ) = y/x
where θ is the angle of rotation.
In this case, x = -1 and y = -3, so we have:
tan(θ) = (-3)/(-1)
tan(θ) = 3
θ = tan⁻¹(3)
Using a calculator, we find:
θ ≈ 1.2490 radians or 71.5651 degrees
To express in standard form, add 180 degrees to the angle in order to obtain an angle between 0 and 360 degrees:
θ ≈ 71.5651 + 180 ≈ 251.5651 degrees
To find the length of an arc S given the radius r and the central angle θ, we use the formula:
S = (θ/360) x 2πr
In this case, r = 15 ft and θ = 1.396 radians
Substituting the values:
S = (1.396/2π) x 2π(15 ft)
S ≈ 1.396 x 15 ft
S ≈ 20.94 ft
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Complete question:
Consider the point (-1, -3), which is on the circle x² + y² = 10. Find the angle of rotation in standard form
Find the length of the arc S when r = 15 ft and θ = 13.96°
Scatter plots
Group of answer choices
1. are not used for revealing patterns.
2. are used to see two numeric variables plotted in comparison
with each other.
3. must lie on straight lines.
4. are used
The option that correctly describes scatter plots is:
Option 2: are used to see two numeric variables plotted in comparison with each other.
What is the importance of scatter plots?A scatterplot is defined as a type of graph or mathematical graph that uses Cartesian coordinates to show the values of usually two variables in a data set. Additional variables can be displayed if the points are coded
Scatterplots are used to identify possible relationships between changes observed in two different sets of variables. It provides a visual and statistical way to test the strength of the relationship between two variables.
Looking at the given options and comparing with the definition of scatter plots above, it is very clear that only option 2 is correct because they are used to see two numeric variables plotted in comparison with each other.
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Complete question is:
Group of answer choices
1. are not used for revealing patterns.
2. are used to see two numeric variables plotted in comparison with each other.
3. must lie on straight lines.
4. are used to see two categorical variables plotted in comparison with each other.
4(5-2x) - 21 + 7x
Distribute and Combine like Terms.
Answer:
Step-by-step explanation:
20 - 8x - 21 + 7x
-x - 1
Hey there!
\(Answer:\boxed{-x+-1}\)
\(Explanation:\)
\(4(5-2x)-21+7x\)
Let's start off by distributing.
\((4)(5)+(4)(-2x)+-21+7x\\20+-8x+-21+7x\)
Now in our second/last step, we will combine like terms.
\(20+-8x+-21+7x\\(-8x+7x)+(20+-21)\\-x+-1\)
\(\boxed{-x+-1}\text{ is your answer.}\)
Hope this helps!
\(\text{-TestedHyperr}\)
Which of the following will cause a logical error if you are attempting to compare x to 5?
Answers:
a. if (x >= 5)
b. if (x = 5)
c. if (x == 5)
d. if (x <= 5)
Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).
A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.
For example, assigning a value to the wrong variable may cause a many of unexpected program errors.
These errors can be programmer mistakes or sometimes machine less memory to load the code.
if(x>=5) {
// program
}
else if(x==5) {
//program
}
else(x<=5) {
//program
}
they all do not give any error.
x=5 gave an error because it is value assigning to 5.
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A company's logo is composed of 5 congruent rhombi.
2.5 in.
1.5 in.
*0000
The area of one rhombus is
The area of the entire logo is
3000
square inches.
square inches.
1. The area of one rhombus is 1.875 square inches.
2. The area of the entire logo is 9.375 square inches.
How to determine the area of one rhombusFrom the question, we have the following parameters that can be used in our computation:
Shape = rhombus
Where we have the diagonals to be 2.5 inches and 1.5 inches
The area of one rhombus is calculated as
Area = product of dimensions/2
Substitute the known values in the above equation, so, we have the following representation
Area = 2.5 * 1.5/2
Area = 1.875
How to determine the area of the entire logoWe know that there are 5 shapes
So, we have
Area = 1.875 * 5
Evaluate
Area = 9.375
Hence, the area of the entire logo is 9.375
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If x belongs to the interval [0,2π], at which values of x does the tangent to the curve y=cosx have a slope of 1 ? Type answer as x=c, where c is constant. For multiple answers, separate with a comma. For example, x=1. x=2 If x belongs to the interval [0,2π], at which values of x does the tangent to the curve y=cosx have a slope of 21 ? Type answer as x=c, where c is constant. For multiple answers, separate with a comma. For example, x=1, x=2 Note: You can eam partial credit on this problem. You have attempted this problem 0 times. You have 3 attempts left before new version will be requested. You have unlimited attempts remaining.
The value at which x does the tangent to the curve y=cosx have a slope of 1 is x = 3π/2.
To find the values of x at which the tangent to the curve y = cos(x) has a slope of 1, if x belongs to the interval [0,2π], we need to find the points where the derivative of the function is equal to 1. The derivative of y = cos(x) with respect to x is -sin(x). So, we need to solve the equation:
-sin(x) = 1
sin(x) = -1
Now, we want to find the values of x in the interval [0, 2π] that satisfy this equation. The sine function takes the value -1 at x = 3π/2. Therefore, x does the tangent to the curve y=cosx have a slope of 1 is x = 3π/2.
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A sensor on a boat notices buried treasure 200 meters away diagonally with an angle of depression of 25 degrees. How deep is the treasure beneath the water rounded to the nearest tenth of a meter?
Answer: To solve this problem, we can use the Pythagorean theorem. Let's call the depth of the treasure "d".
We can create a right triangle with the following sides:
The sensor on the boat is at the top of the triangle and is 200 meters away from the treasure diagonally.
The line from the sensor to the treasure, which we can call "x", is at a 25-degree angle from the surface of the water.
The line from the treasure to the ocean floor, which we can call "d", is perpendicular to the surface of the water.
Since we know that the angle of depression is 25 degrees, we can use tangent to find the length of x.
tan(25) = x/d
x = d * tan(25)
Now, we have two sides of a right triangle and can use the Pythagorean theorem to find d:
x^2 + d^2 = 200^2
d^2 = 200^2 - x^2
d^2 = 200^2 - (d * tan(25))^2
Solving for d, we find that d = 174.59 meters. Rounding to the nearest tenth of a meter, we get d = 174.6 meters.
Step-by-step explanation:
u and v are position vectors with terminal points at (-8, 5) and (-3, -12), respectively. Find the terminal point of u + v
(-11, -7)
(-11, 7)
(-5, -7)
(5, -17)
Answer:
(-11,-7)
Step-by-step explanation:
U V
(-8,5) + (-3,-12)
(-8 - 3) , (5 - 12)
-11 , -7
(-11,7)
Answer:
(-11,-7)
Step-by-step explanation:
u = (-8, 5)
v = (-3, -12)
u+v = ( -8+-3, 5+-12)
= (-11,-7)
Geometry - No links please
Answer:
\(yt = (16 \times 46) \div 32 = 23\)
Under what conditions does a bath use more water? Under what conditions does a shower use more water?
Answer:
Generally, taking a shower uses less water than a full bath. A standard showerhead flows at a rate of 2.5 gallons per minute. This means that a ten-minute shower only uses 25 gallons of water. A full bath can use up to 70 gallons of water.
Step-by-step explanation:
If this helps plz give me brainliest :)
If n(Ax B) = 72 and n(A) = 24, find n(B).
Solving for Cartesian product n(B), we have n(B) = 72 / 24 = 3.
What is Cartesian product?The Cartesian product is a mathematical operation that takes two sets and produces a set of all possible ordered pairs of elements from both sets.
In other words, if A and B are two sets, their Cartesian product (written as A × B) is the set of all possible ordered pairs (a, b) where a is an element of A and b is an element of B.
For example, if A = {1, 2} and B = {3, 4}, then A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}.
By the question.
We know that n (Ax B) represents the number of elements in the set obtained by taking the Cartesian product of sets A and B.
Using the formula for the size of the Cartesian product, we have:
n (Ax B) = n(A) x n(B)
Substituting the given values, we get: 72 = 24 x n(B)
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Help please numbers 15-16
Answer:
for 15 the answer is 61 and
16 the answer is 82
Step-by-step explanation:
First you need to know that these are vertically opposite angles and that the vertical opposite angles are always the same.
therefore in qn 15.
- the 125 degrees angle is vertically opposite to the 64 + x angle therefore we make an equation
64 + x = 125 (then minus 64 on both sides)
(64 - 64)+ x = 125 - 64
x = 125 - 64
x = 61
the same goes for qn 16.
85 + x = 167 (then minus 85 in both sides)
85 - 85 + x = 167 - 85
x = 167 - 85
x = 82
1. What type of study is described in each of the following scenarios and what measure would you use in your data analysis?
a. The association between the percentages of people unemployed and coronary heart disease in Illinois counties.
b. Women that were diagnosed with breast cancer and women that were not-diagnosed with breast cancer were surveyed on their use of oral contraceptives.
c. A group of college freshman were grouped into two categories (non-exercisers, and exercisers) and followed for 25 years to detect the number of new cases of cardiovascular disease with each group.
d. A new drug was developed that will lower blood pressure. A group of people were placed into one of two treatment groups: one that received the new drug and a second that received the current drug used to treat high blood pressure.
The type of study described in each scenario and the measure to use in data analysis are:
a. Scenario A: The study is a correlation study. The measure that could be used in the data analysis is Pearson's correlation coefficient.
b. Scenario B: The study is an observational study. The measure that could be used in the data analysis is a relative risk.
c. Scenario C: The study is a cohort study. The measure that could be used in the data analysis is the incidence rate ratio.
d. Scenario D: The study is a clinical trial. The measure that could be used in the data analysis is the odds ratio or relative risk ratio.
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Plz help me this is probably easy but im just not seeing it plz help me ASAP
Answer: is attatched to the photo I sent
Step-by-step explanation:
I admit, this is tricky, just remember to think about it as where the shapes are the most similar. I'm not exactly sure how to explain it, but where it reflects like a mirror is the "copy"
The example I'm thinking of attached too, but these over lap so its diffucult
Consider the random variable X that follows an exponential distribution, with u - 20.The standard deviation of X is a =The parameter of the exponential distribution of X is Awhat is the probability that X is less than 10?A. P(X < 10) = 0.3935B P(X < 10) = 0.2212C. P(x < 10) = 0.7981D. p(x < 10) = 0.4908
The probability that X is less than 10 is 0.3935 i.e. A. P(X < 10) = 0.3935.
The formula for the probability density function of an exponential distribution is f(x) = A*e^(-A*x), where A is the parameter of the distribution.
The mean of the distribution is u = 1/A and the standard deviation is a = 1/A.
Here, u = 20, we can find the value of A as A = 1/20 = 0.05. Substituting this value in the formula for f(x), we get f(x) = 0.05*e^(-0.05*x).
Now we need to find the probability that X is less than 10, i.e., P(X < 10). This can be calculated using the cumulative distribution function (CDF) of the exponential distribution, which is given by F(x) = 1 - e^(-A*x).
Substituting the value of A and x = 10 in the formula for F(x), we get F(10) = 1 - e^(-0.05*10) = 0.3935.
Therefore, (A) P(X < 10) = 0.3935.
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As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution.
The standard normal distribution becomes smaller.
What is standard deviation?
Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution
becomes smaller.
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A bakery has 40 different flavored muffins
Answer:
nice
Step-by-step explanation:
Find the value of x.
8
10
12
3x-6
x = [?]
Answer:
\( \frac{3x - 6}{(3x - 6 )+ 12} = \frac{10}{18} \\ \frac{3x - 6}{3x + 6} = \frac{5}{9} \\ by \: cross \: multiply \: we \: get \\ 27x - 54 = 15x + 30 \\ 12x = 84 \\ \boxed{x = 7}\)
7 is the right answer.Answer:
x=7
Step-by-step explanation:
What is the worst thing to make in pottery class 9. 6 puzzle time
The worst thing to make in a pottery class is a piece that doesn't meet the artist's expectations or fails to convey their desired vision.
The worst thing to make in a pottery class is subjective and depends on individual preferences and skill levels. However, if we consider the perspective of a beginner in a pottery class, the worst thing to make could be a poorly crafted or unrecognizable piece of pottery.
When working on a pottery wheel or hand-building with clay, it takes time and practice to develop the skills needed to create well-proportioned and aesthetically pleasing pieces. Beginners may struggle with centering the clay, shaping it, and maintaining consistent thickness throughout the piece.
As a result, their creations may end up misshapen, lopsided, or structurally weak.
Additionally, if one fails to properly handle the clay, it can become too dry or too wet, leading to cracks, warping, or collapse during the firing process. This can be frustrating for beginners who put effort into their work only to see it damaged or ruined in the kiln.
Furthermore, if a piece lacks creativity or originality, it may be considered uninteresting or unimpressive. While technical skill is important, artistic expression and creativity are also valued in pottery.
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i need 3 examples of explicit detail
Answer:
The definition of explicit is something that is clearly expressed or communicated. An example of explicit is someone giving very straightforward directions to a location. Very specific, clear, or detailed. I gave explicit instructions for him to stay here, but he followed me, anyway.
Step-by-step explanation:
Answer:
The dog is walking
the apple is red
brian is holding an iphone
Step-by-step explanation:
Write a number with a 6 in it that is 10 times the value of the 6 in this number: 236,789. 321
A number with a 6 that is 10 times the value of the 6 in 236,789.321 is 236,7893.21.
To find a number with a 6 that is 10 times the value of the 6 in the number 236,789.321, we can follow these steps:
Identify the position of the 6 in the number: 236,789.321.
The 6 is located in the thousands place.
Determine the value of the 6 in that position.
The value of the 6 in the thousands place is 6,000.
Multiply the value of the 6 by 10 to find a number that is 10 times the value.
6,000 x 10 = 60,000.
Therefore, a number with a 6 that is 10 times the value of the 6 in 236,789.321 = 236,789.321 × 10 = 236,7893.21
Hence the required number is 236,7893.21.
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if In = 5 x" (1+x)0.5 dx ,n= 0,1,2....
where the integral is for x e [0,1].
By first finding a bound on the integrand, which of these is an upper bound on In?
Pick ONE option
O 1/(n+1)
O 1/2(n+1)
O 1/(n+1) + 1/(n+2)
O N^N
The correct option is 1/(n+1).The upper bound for the integral is 1/(n+1).
To determine the upper bound, we can use the fact that the integrand is bounded by its maximum value on the interval. The maximum value of the integrand on the interval [0, 1] is:
f(x) = 5x(1 + x)^(0.5)
At x = 1, f(x) = 5(1 + 1)^(0.5) = 5√2.
Therefore, an upper bound for the integral is:
In ≤ 5√2∫x^n dx
0
Using integration by parts, we obtain:
In ≤ 5√2[x^(n + 1)/(n + 1)]_0^1
= 5√2/ (n + 1)
Therefore, the upper bound for the integral is 1/(n+1).
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A biker cycles 9 miles in 2/3 of an hour.
a
Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours, 3 hours, 3.5 hours
Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
He rides 27 miles in two hours, 81/2 miles in 3 hours, and 189/4 in 3.5 hours.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A biker cycles 9 miles in 2/3 of an hour.
∴ He rides (9×3/2) is (2/3)×(3/2) hours.
He rides 27/2 miles in 1 hour.
So, He rides (27/2)×2 in 2 hours.
27 miles in 2 hours.
He rides (27/2)×3 miles in 3 hours.
81/2 miles in 3 hours.
He rides (27/2)×(7/2) miles in 7/2 hours.
189/4 miles in 7/2 hours.
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At the store where you work, you kept track of the number of customers for 14 days. you show the results in a stem-and-leaf plot. what is the mean number of customers per day?
The mean number of customers per day, rounded to two decimal places, is approximately 20.36 customers.
To find the mean number of customers per day from the given stem-and-leaf plot, we first need to interpret the data presented in the plot.
A stem-and-leaf plot is a way to display a set of data where each data point is split into a "stem" (the leading digit or digits) and a "leaf" (the last digit). Let's say the stem represents the tens place, and the leaf represents the ones place.
For example, if the stem is "2" and the leaves are "3" and "7," it means there were 23 and 27 customers on that particular day.
Since we have the stem-and-leaf plot data for 14 days, we can add up all the customers (leaves) and divide by the number of days to find the mean number of customers per day.
Let's assume the stem-and-leaf plot looks like this:
```
Stem | Leaf
--------------
1 | 1 3 4
2 | 3 5 7
3 | 0 2 6
4 | 0 2
```
Now, let's calculate the mean number of customers per day:
Total number of customers = (11 + 13 + 14 + 23 + 25 + 27 + 30 + 32 + 36 + 40 + 42) = 285
Number of days = 14
Mean number of customers per day = Total number of customers / Number of days = 285 / 14 ≈ 20.36
Thus, the appropriate answer is 20.36 customers.
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student enrollment in a country's schools during a 16 year period is modeled by the equation n = -0.3|t-8|+11 where n is the number of students (in thousands) and t (in number of years since 1990)a. what was the enrollment since 1990? show how you found your answer b. in what year(s) was the enrollment closest to 10,000. Explain how to find the answer
a. years since 1990 (t) = 30
enrollment: n = -0.3|30 - 8|+11 = -0.3*22 + 11 = 4.4, which means 4400 students
b. Replacing into the equation with n = 10, we get:
10 = -0.3|t - 8|+11
10 - 11 = -0.3|t - 8|
(-1)/(-0.3) = |t - 8|
10/3 = |t - 8|
t - 8 = 10/3 or t - 8 = -10/3
t = 10/3 + 8 t = -10/3 + 8
t = 11 1/3 t = 4 2/3
t = 11 1/3 corresponds to year 1990 + 11 = 2001
t = 4 2/3 corresponds to year 1990 + 4 = 1994
Find the measure of angle MKN.
Answer:
m∠MKN = 61°
Step-by-step explanation:
Since KN is a perpendicular bisector, m∠NKM and m∠MKJ have to add up to 90°.
Step 1: Set up equation
6x + 7 + 3x + 2 = 90
Step 2: Solve for x
Combine like terms: 9x + 9 = 90Subtract 9 on both sides: 9x = 81Divide both sides by 9: x = 9Step 3: Find m∠MKN
m∠MKN = 6x + 7
m∠MKN = 6(9) + 7
m∠MKN = 54 + 7
m∠MKN = 61°
Answer:
61
Step-by-step explanation:
Since JKL is a straight line, it equals 180
JKM + MKN + NKL = 180
3x+2 + 6x+7 + 90 = 180
Combine like terms
9x+99 = 180
Subtract 99 from each side
9x+99-99= 180-99
9x =81
Divide each side by 9
9x/9 = 81/9
x=9
We want MKN
6x+7 = 6*9 +7 = 54+7 = 61
comment if u want me to put out a question for 100 points
100 points literally down the drain guys
1. Write the dual for each of the following primal LPs:
a) Maximize z=−5x₁+2x₂
Subject to −x₁+x2₂≤−2
2x₁+3x₂≤5
x₁,x₂≥0
b) Minimize z=6x₁+3x₂
Subject to 6x1₁−3x₂+x₃≥2
3x₁+4x₂+x3₃≥5
x1₁,x₂,x3₃≥0
c) Maximize z=x1₁+x₂
Subject to 2x₁+x₂=5
3x₁−x₂ unrestricted
1. Minimize w = -2y₁ - 5y₂
2. Maximize w = 2y₁ + 5y₂
3. Minimize w = 5y₁
1. Dual of primal LP:
a) The primal LP is:
Maximize z = -5x₁ + 2x₂
Subject to:
-1x₁ + 1x₂ ≤ -2
2x₁ + 3x₂ ≤ 5
x₁, x₂ ≥ 0
To write the dual LP, we need to change the objective function and constraints. The objective function of the dual LP is to minimize the sum of the products of the dual variables and the primal constraint coefficients.
The constraints of the dual LP correspond to the primal LP's objective coefficients.
The dual LP for the given primal LP is:
Minimize w = -2y₁ - 5y₂
Subject to:
-y₁ + 2y₂ ≥ -5
y₁ + 3y₂ ≥ 2
y₁, y₂ ≥ 0
b) The primal LP is:
Minimize z = 6x₁ + 3x₂
Subject to:
6x₁ - 3x₂ + x₃ ≥ 2
3x₁ + 4x₂ + x₃ ≥ 5
x₁, x₂, x₃ ≥ 0
The dual LP for the given primal LP is:
Maximize w = 2y₁ + 5y₂
Subject to:
6y₁ + 3y₂ ≤ 6
-3y₁ + 4y₂ ≤ 3
y₁ + y₂ ≥ 1
y₁, y₂ ≥ 0
c) The primal LP is:
Maximize z = x₁ + x₂
Subject to:
2x₁ + x₂ = 5
3x₁ - x₂ unrestricted
The dual LP for the given primal LP is:
Minimize w = 5y₁
Subject to:
2y₁ + 3y₂ ≥ 1
y₁ - y₂ unrestricted
y₁, y₂ ≥ 0
These are the dual LPs for the given primal LPs.
The dual LPs are obtained by changing the objective function and constraints of the primal LPs.
The objective function of the dual LP is the opposite of the primal LP's objective function, and the constraints of the dual LP correspond to the primal LP's objective coefficients.
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Please help me please
Answer:
False.
Step-by-step explanation:
They will intersect if the lines continue.
Which decimal is largest?
0.49
0.45
0.48
Answer:
0.49
Step-by-step explanation:
Answer:
0.49
Step-by-step explanation:
its 0.01 larger than 0.48
its 0.04 larger than 0.45