Stacy earned 11 bonus points. Linda earned b more bonus points than Stacy. Write an expression that shows how many bonus points Linda earned?

Step-by-step explanation:

i hope it helped U

Decision Variables and Objective:

The decision variables in this transportation model are the quantities to be shipped from each plant to each distribution center. Let's denote the quantity shipped from Marietta to Cleveland as X1, from Marietta to Baltimore as X2, and so on. Similarly, let's denote the quantity shipped from Minneapolis to each distribution center as Y1, Y2, and so forth.

The objective of the optimization model is to minimize the total transportation cost. The transportation cost is determined by multiplying the unit cost of shipping between each plant and distribution center by the corresponding quantity shipped and summing up these costs for all combinations.

To enforce the single sourcing constraint, we need to ensure that each distribution center is served from only one plant. This constraint can be represented by adding the following constraint for each distribution center:

X1 + X2 + X3 + X4 = Demand (for each distribution center)

Y1 + Y2 + Y3 + Y4 = Demand (for each distribution center)

These constraints ensure that the total quantity supplied from all plants to a particular distribution center is equal to the demand of that distribution center, effectively enforcing the single sourcing constraint.

Optimization Model and Interpretation of Results:

The optimization model can be formulated as a linear programming problem, where the objective is to minimize the total transportation cost while satisfying the capacity constraints and the single sourcing constraint.

The Excel Solver can be used to solve this model, providing the optimal solution for the decision variables and the corresponding minimum cost.

Interpreting the printouts, we can observe the values of the decision variables X1, X2, X3, X4, Y1, Y2, Y3, Y4, which represent the quantities shipped between each plant and distribution center. Additionally, we can see the total transportation cost, which is the objective value obtained by summing the costs of shipping for all combinations.

Pertinent results could include identifying the optimal shipping quantities that meet customer demand while minimizing costs. Interesting results might include identifying any significant differences in shipping costs between the plants and distribution centers. Unusual results could involve finding a scenario where the total transportation cost does not decrease proportionally with an increase in supply capacity or demand.

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Answer:

The solution to the system of equations g(x) = x - 1 and f(x) = x^2 - 5 is the point where the two functions intersect, which is the point (1,0).

To confirm this, we can substitute x = 1 into each equation and see that they both equal 0:

g(1) = 1 - 1 = 0

f(1) = 1^2 - 5 = -4 + 1 = -3 = 0

So (1,0) is the solution to the system of equations.

The matrix cannot be inverted if any eigenvalue is 0, which also means that the determinant is zero. This suggests a linear dependence between the columns of A. As a result, A is not of full rank and is not invertible.

What does "linearly dependent" mean?

A set's ability to have at least one linear combination of its components equal to zero when the coefficients are taken from another provided set and at least one of those coefficients is not equal to zero.

                  This feature applies to matrices or vectors. adjective that depends on linearity.

What does it mean to be linearly dependent?

A group of non-zero vectors is said to be linearly dependent if at least one of them can be expressed as a linear combination of the others.

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The nth term test is a mathematical method used to determine if a sequence converges or diverges. It helps to find the behavior of the sequence as n approaches infinity.

Here's how to do the nth term test:

Find the nth term formula for the given sequence.

Calculate the limit of the nth term as n approaches infinity.

Based on the value of the limit, determine if the sequence converges or diverges:

If the limit is finite and non-zero, the sequence diverges.

If the limit is finite and zero, the sequence converges to zero.

If the limit is infinite or does not exist, the sequence diverges.

The nth term test is important because it provides a quick and easy way to determine the behavior of a sequence, without having to calculate all the terms.

It's important to understand the nth term test and how to apply it, so that you can analyze the behavior of sequences in mathematics and other related fields.

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To find the area of triangle ABC, we need to first find the length of its sides. Since triangle ABC is an equilateral triangle, all sides are equal. Let's denote the length of one side as 's'.

The radius of the inscribed circle is the distance from the center of the circle (O) to any of the sides of the triangle. It is also equal to the height of the equilateral triangle. Let's denote this radius as 'r'. The area of the circle is given as 4π square cm. We know that the area of a circle with radius r is given by πr^2. Therefore, we have:

\(πr^2 = 4π\\r^2 = 4\\r = 2\)

Now, in an equilateral triangle, the height can be found using the formula:\(h = (s√3)/2.\) We know that the radius (r) is equal to the height (h). Therefore, we have:

\(2 = (s√3)/2\\4 = s√3\\s = 4/√3\)

To find the area of the triangle, we can use the formula: \(area = (s^2√3)/4.\)Plugging in the value of 's', we get:

\(area = ((4/√3)^2√3)/4\\area = (16/3)√3\)

So, the area of triangle ABC is \((16/3)√3\) square cm.

In conclusion, the area of triangle ABC is \((16/3)√3\) square cm. This answer is expressed in simplest radical form.

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Answer:

Angle 1 = 102

Angle 2 = 40.9

Step-by-step explanation:

\(1)\ 180 - 121.8 = 58.2\)

\(2)\ angle\ 2 = 58.2 - 17.3 = 40.9\)

\(3)\ angle\ 1 = 180 - 40.9 - 37.1 = 102\)

Answer:

m∠1  = 67.4°      m∠2 = 104.5°

Step-by-step explanation:

17.3 + m∠2 = 121.8

m∠2 = 104.5°

m∠1 + 37.1 = m∠2 = 104.5

m∠1  = 67.4°

Answer:

1

2

3

4

6

12

43

86

129

172

258

516

Step-by-step explanation:

516 is divisible by?

Answer:

b

Step-by-step explanation:

-3 <= x <= 9 would be the inequality

Answer:

\(\boxed{-3 \leq x \leq 9}\)

Step-by-step explanation:

x is at least -3

So,

=> x ≥ -3

For, x at most 9, It is

=> x ≤ 9

Combining the inequality

-3 ≤ x ≤ 9

you take out a loan for $702 at an annual interest rate of 6% compounded quarterly for 2 years what is the total amount that you will have at the end of the two-year ​

we know that

The compound interest formula is equal to

\(A=P(1+\frac{r}{n})^{nt}\)

where

A is the total amount at the end of two years

P is the loan

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$702

r=6%=6/100=0.06

t=2 years

n=4

substitute the given values in the formula

therefore

the answer is

A triangle with three obtuse angles is called an obtuse triangle.

In an obtuse triangle, all three angles are obtuse, which means that they are greater than 90 degrees. This is in contrast to a right triangle, which has one right angle (90 degrees) and two acute angles, or an acute triangle, which has three acute angles (all less than 90 degrees). Obtuse triangles can be either scalene (all sides have different lengths) or isosceles (two sides have the same length). They cannot be equilateral, because in an equilateral triangle all three angles are equal to 60 degrees, which is less than 90 degrees.

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The number of days for which the money is left to reach the 20,400$ mark is; 21.28 days

The final amount to be reached is; $20400

The principal amount is; $8,000 and at. rate of 4.75 % compounded.

Hence, it follows that;

Divide both sides of the equation by 8000; we have;

Take log of both sides;

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A condition that is impossible to satisfy has no solution.

Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.

In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.

An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.

This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.

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Answer:

no porque algunproblemw

Answer: 13. -68

14. 36

15. -36

16. -3

17. 10

18. -4

19. 1310 ft

20. 330 ft

Step-by-step explanation:

13. 34*(-2)=-68

14. -9*(-4)=

-(9*(-4))=

-(-36)=36

15. 12*(-3)=-36

16. -12/4=-3

17. -20/(-2)=

20/2=10

18. 200/(-50)=-4

19. -1640*(-1)-(-330*(-1))=

1640-(-330*(-1))=

1640-330=1310 ft

20. -990*(-1)-(-660*(-1))=

990-(-660*(-1))=

990-660=330 ft

The domain of the given relation is {-7, 3, 2, 4, 6}.

The range of the given relation is {1, 0, 7, 4}.

To determine the domain and range of the given set of ordered pairs: {(-7,1), (3,0), (2,1), (4,7), (6,4)}, we can identify the unique x-values as the domain and the unique y-values as the range.

The domain is the set of all x-values in the relation, and the range is the set of all corresponding y-values.

In this case, the domain consists of the x-values: -7, 3, 2, 4, 6. These are all the unique x-values in the set of ordered pairs.

Therefore, the domain of the given relation is {-7, 3, 2, 4, 6}.

Similarly, the range consists of the y-values: 1, 0, 7, 4. These are all the unique y-values in the set of ordered pairs.

Therefore, the range of the given relation is {1, 0, 7, 4}.

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Answer: Please adjust the 37. The answer would be 40.

Step-by-step explanation:

23 + 17 obviously equals 40.

Given:

a.) The admission fee at a small fair is $2.50 for children and $4.00 for adults.

b.) On a certain day, 2400 people enter the fair and $7140 is collected.

Let,

x = total number of children

y = total number of adults

Let's generate two equations based on the given scenario:

EQUATION 1: Total number of children and adults entered the fair.

EQUATION 2: Total money collected from the admission.

We will be using the substitution method. We get,

Substitute to Equation 2:

Therefore, 1,640 children went to the fair.

For the adults,

x + y = 2400

1,640 + y = 2400

y = 2400 - 1,640

y = 760 adults

In summary: 1,640 children and 760 adults went to the fair.

Time-series Plot graph is the best choice for determining the change in the stock market over time.

The term stock exchange refers to several exchanges where shares of publicly traded companies are bought and sold. Such financial activities are conducted through formal stock exchanges and over-the-counter (OTC) markets that operate under a specific set of regulations.

Other major stock exchanges in the world are Tokyo Stock Exchange (Japan), Shanghai Stock Exchange (China) and London Stock Exchange (UK). Stock exchanges are considered capital markets as they provide long-term financing for companies.

A time series chart, also known as a time series chart or time series graph, is a data visualization tool that plots data points at successive time intervals. Each point on the chart corresponds to both time and quantity being measured.

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The complete statements are

The complete question is added at the end of this solution

From the question, we have the following parameters that can be used in our computation:

Garrick's plant:

Zan's plant:

Garrick's plant is shorter than Zan's plant and the difference in heights is

Actual difference = 100 mm - 10 mm = 90 mm

Measured difference = 88 mm - 8 mm = 80 mm

The percentage errors are calculated using

Percentage errors = Difference/Actual measurement * 100%

So, we have

Garrick's actual error = (10 - 8)/10 *100% = 20%

Zan's actual error = (100 - 88)/10 * 100% = 12%

Hence, Garrick's measurement was 20% off and Zan's was 12% off.

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Answer:

210 seconds

Step-by-step explanation:

LCM of 5,6 and 7

According to the information, the 7 gold medals that Australia won in the Olympics correspond to 20% of the medals that this country won.

To find the percentage of gold medals that Australia won in the Olympic games, we must take into account the available information and perform the following mathematical operation:

Rule of three

According to the above, the 7 gold medals won by Australia in the Olympic Games are equivalent to 20% of the medals won by this country.

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The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

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Complete question

The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

Answer:

Since both equations equal to f(x), you can set 4x+11 equal to -1 and solve for x.

4x+11=-1

Subtract 11 from both sides.

4x=-12

Divide both sides by 4.

x=-3

:)