an optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem. group of answer choices true false

Answer: The total amount at the end of 30 years will be $45,933.35.

Answer:

X= 2

y = 2

Step-by-step explanation:

y=-2x+6............... equation 1

y=3x-4................... equation 2

from equation 2

y=3x-4

substitute y=3x-4 in equation 1

3x-4=-2x+6

collect like terms

3x+2x=6+4

5x=10

divide both sides by 5

X=2

substitute X=2 in equation 1

y=-2x+6

y=-2(2)+6

y=-4+6

y=2

hope it helps

Answer:

72.7

Step-by-step explanation:

First multiply 72 by 10

because 72 is 72 10s, making it a whole number.

then add 720 (72 times 10) to 7.

then all of that over 10.

then just divide.

727/10

72.7

this is what you do for all mixed numbers like that one.

Answer:

The answer is 72.7.

Step-by-step explanation:

There isn't a real explanation, but 7/10 is equal to 0.7 and then you have to add 72.

Answer:

m=2

Step-by-step explanation:

b. technical feasibility.  this is correct option.

A feasibility study includes tests for technical feasibility, which refers to the practical resources needed to develop, purchase, install, or operate the system. It assesses whether the required technology, hardware, software, and infrastructure are available and can be effectively implemented to support the system. The focus is on evaluating the technical requirements, constraints, and risks associated with the proposed system to ensure its successful implementation and operation.

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Mason's friends do not play video games are 4.

Mason asked some classmates whether they play video games.

The ratio of friends who play video games to everyone he asked is given as some fraction or decimal value.
Let's assume that the ratio is in the form of "x:y",

"x" represents the number of friends who play video games, and "y" represents the total number of friends that Mason asked.
To find out how many of his friends do not play video games,

To subtract the number of friends who play video games from the total number of friends that Mason asked.

This is because the remaining friends who were not counted in the "x" value of the ratio must be those who do not play video games.
So, the number of friends who do not play video games can be calculated as:
Total number of friends - Number of friends who play video games = y - x
The ratio of friends who play video games to everyone he asked is 3:7,

It means that out of 7 friends, 3 play video games, and 4 do not play video games.

The number of friends who do not play video games can be calculated as:
y - x = 7 - 3 = 4  

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Answer:

9.4.6=216

216.1,3=280

Step-by-step explanation:

\( \huge\hookrightarrow \mathbb{ \color{gold}Answer}\)

We know,

\( \boxed{volume = l \times b \times h}\)

so,

\(\hookrightarrow{volume = 6 \times 4 \times 9}\)

\(\hookrightarrow volume = 216 \: m {}^{3} \)

now,

\( \boxed{density = \frac{mass}{volume} }\)

So,

\( \hookrightarrow1.3 = \dfrac{m}{216} \)

\(\hookrightarrow \: m = 216 \times 1.3\)

\( \hookrightarrow \: m = 280.8\)

hence, mass of air in the room is 280.8 kg

The Binary Search Tree is as follows:

                                                   E

                                            /            \

                                         S                T

                                        /                    \

                                      I                       W

                                   /                            \

                                A                               M

                              /                                    \

                             C                                     G

                              \

                                D

The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5

Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:

post-order sequence is: C, D, A, G, M, I, W, T, S, E.

To draw the binary search tree for the given post-order sequence, follow the steps below:

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In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations. Combinations exist when the order doesn't matter, but permutations exist when it does. A permutation could be described as an ordered combination. The following formula determines how many permutations of n objects, taken r at a time: P(n,r)=n!

Given,

Ways 7 runners can places 1 through 4 be determined:

By using permutation:

7!

7 ×6 × 5 ×4×3×2×1

5040

In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.

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If we allow the number of edges between any two nodes to be more than two, we would need to use the adjacency matrix to accurately store that graph information.

The adjacency matrix is a matrix representation of a graph where the rows and columns represent the vertices and the values in the matrix represent the number of edges between two vertices.

In this case, we could have values greater than 1 in the matrix to represent multiple edges between two vertices.

On the other hand, the adjacency list data structure would not be able to accurately store this information, as it represents each vertex and its adjacent vertices in a linked list format.

It would be difficult to represent multiple edges between two vertices using this data structure.

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Answer:

3.256*10³2

Step-by-step explanation:3.256 * 1000 = 3256 1000 =10³

The PMF of X is:

P(X = 0) = (998 / 899)/^3

P(X = 101) = 3 × (1 / 899) × (998 / 899)^2

P(X = 202) = 3 × (1 / 899)^2 × (998 / 899)

P(X = 303) = (1 / 899)^3

To find the probability mass function (PMF) of the random variable X, which represents the amount of money earned by the player after playing the game 3 times, we need to consider all possible values of X and their associated probabilities.

Let's break down the possible values and their probabilities:

X = 0:

This means the player did not win any of the three games. The probability of not winning a game is given by (999 - 1) / (999 - 100) = 998 / 899, since there are 999 possible numbers and only one winning number. Since the games are independent, the probability of not winning in all three games is (998 / 899)^3.

X = 101:

This means the player won one game and lost the other two. The probability of winning one game is 1 / (999 - 100) = 1 / 899. The probability of losing two games is (998 / 899)^2, since there are two games left and the player loses both. However, since the winning game can occur in any of the three games, we multiply by the number of ways to choose which game the player wins, which is 3. So the probability of winning one game and losing the other two is 3 × (1 / 899) × (998 / 899)^2.

X = 202:

This means the player won two games and lost one. The probability of winning two games is (1 / 899)^2, and the probability of losing one game is 998 / 899. Again, the winning games can occur in any of the three games, so we multiply by the number of ways to choose which games the player wins, which is 3. The probability of winning two games and losing one is 3 × (1 / 899)^2 × (998 / 899).

X = 303:

This means the player won all three games. The probability of winning a game is 1 / 899, and since the games are independent, the probability of winning all three games is (1 / 899)^3.

For all other values of X, the probability is 0 since the player cannot earn any other amounts.

Therefore, the PMF of X is:

P(X = 0) = (998 / 899)/^3

P(X = 101) = 3 × (1 / 899) × (998 / 899)^2

P(X = 202) = 3 × (1 / 899)^2 × (998 / 899)

P(X = 303) = (1 / 899)^3

Note: The PMF should be normalized, meaning the sum of all probabilities should equal 1. You can verify that by summing the probabilities above and adjusting them if necessary.

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The average number of patients on Saturday and Sunday is 70.

Given that the average number of patients that a doctor had was 56, from Monday to Friday, and that the average number of patients that the doctor had was 60, from Monday to Sunday.

Let x be the average number of patients on Saturday and Sunday. Then, we can use the formula for the average of a set of numbers to set up an equation:

(56 x 5 + x × 2)/7 = 60

Simplifying this equation, we get:

(280 + 2x)/7 = 60

Multiplying both sides by 7, we get:

280 + 2x = 420

Subtracting 280 from both sides, we get:

2x = 140

Dividing both sides by 2, we get:

x = 70

Therefore, the average number of patients on Saturday and Sunday is 70.

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Answer

-4    3

1      4

2      5

3      6

3       8

Step-by-step explanation:

hope this helps

According to the output analysis, the model presented above is of Discrete-event simulation (DES) type.

What is Discrete-event simulation (DES)?

Discrete-event simulation (DES) is indeed a type of computer-based simulation where events occur at specific points in time. In DES, a system's behavior is modeled by specifying the sequence of events that occur during the system's lifespan.

In a discrete-event simulation, the state of the system changes only when events occur, rather than continuously evolving over time. Events represent significant occurrences or activities within the system, such as customer arrivals, service completions, or resource allocations. Each event is associated with a specific time or occurrence point, and the simulation progresses by processing events in chronological order.

DES is particularly useful for modeling complex systems where the timing of events and their interactions play a crucial role. It allows for capturing the dynamic nature of the system, simulating the flow of entities (such as customers, vehicles, or messages) through the system, and observing the effects of event sequencing and resource allocation on system performance.

By simulating the system and observing the events and their consequences, DES enables analysts to evaluate different scenarios, study the impact of various parameters, and optimize system design or operation. It provides insights into system performance measures, such as throughput, waiting times, resource utilization, or customer satisfaction.

Overall, discrete-event simulation is a powerful technique for modeling and analyzing complex systems with discrete changes, events, and interactions over time.

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The model above is known as a discrete-event simulation model according to the output analysis.

A discrete event simulation is a type of computer-based modeling where a series of discrete events in a system are simulated.

In such models, the system under consideration evolves through a series of discrete events that are instantaneous.

For example, in the retail establishment model, each customer arriving at the store would be considered a separate, discrete event.

The simulation would model the sequence of events that occur between the time the store opens at 9 am and when the last customer leaves before closing time at 5 pm.

The objective of the simulation would be to estimate some measure of the quality of customer service during this time period.

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m / 12 ≥ 3

Then multiply both by 12

m• (12/12) ≥ 3•12

m•(1) ≥ 36

Then solution is

m≥ 36

(all numbers bigger or equal to 36)

Answer:

Solution:

Hi! To solve this inequality, all we should do is multiply both sides by 12:

\(\implies\sf{\dfrac{m}{12} \geqslant3}\\\implies\sf{m\geqslant36}\)

We come to the conclusion that the answer is \(\implies\sf{m\geqslant36}\).

Problem solved! It's been a pleasure helping you.

Answer:

163/500

Step-by-step explanation:

we will not only clearly explain how to get the answer to 0.326 as a fraction, but also prove to you that our answer is correct.

First, note that 1000 multiplied by .326 will get rid of the decimal point. Therefore, make a fraction where the numerator is .326 times 1000 and denominator is 1000 like this:

.326 x 1000

1000

Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:

326

1000

The greatest common factor of 326 and 1000 is 2, which means you can divide the numerator and denominator by 2 and keep the same value:

326 ÷ 2

1000 ÷ 2

And when calculating the numerator and denominator in our fraction above, we get .326 as a fraction in the simplest form possible:

.326 =

163

500

The measures of the following angles are:

∠6 = 124°,  ∠2 =124°,  ∠3 = 124° ∠5 = 56°,  ∠7 = 124° ∠1 = 56°

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

∠4 = 56° ( corresponding angles are equal)

∠1 =∠4 ( vertically opposite angles are equal)

∠1 = 56°

∠7 + 56° = 180 ( angles on a straight line sum up to 180°)

∠7 = 180 - 56

∠7 = 124°

∠7 = ∠6 ( vertically opposite angle are equal)

∠6 = 124°

∠3 = ∠6 ( alternate angles are equal)

∠3 = 124°

∠2 = ∠3 ( vertically opposite angle)

∠2 = 124°

∠5 = 56° ( vertically opposite angles)

The unknown angles are: ∠1 = 56° ∠2 = 124°, ∠3 = 124°, ∠4 = 56°, ∠5 = 56°, ∠6 = 124° ∠7 = 124°

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Answer:

57\(degrees\)

Step-by-step explanation:

For the first triangle the third angle is not given

So we take that angle as x

First = x+35+45=180

x+80=180

x=180-80

x=100

As we got 100*

For the second triangle

We take the variable as y

Second triangle=y+23+100=180

y+123=180

y=180 -123=57

Hence the answer is 57degrees

Answer:30:1

Step-by-step explanation:

60÷2

=30/1

=30:1

Answer:

85

Step-by-step explanation:

The hypotenuse is 85

The equation for pythagorean theorem is a squared+ b squared= c squared.

7 and 11 squared is 49 and 121

Add them together and then divide the answer by half and you get 85

Answer:

0

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

1 + 1/0 = x

-1  

1/0 = x

x0

1 = x

Backwards PEMDAS where each thing you do backwards cancles itself out.

The equation for g(x) by the given data is g(x) = (-1/4)(x^2).

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

The function f(x)=x^2

Now,

Since the function g is a scaled version of f(x) = x^2, we can write:

g(x) = a(x^2)

where 'a' is the scaling factor.

To find the value of 'a', we can use the given point on the graph of g:

g(2) = -1

Substituting x = 2 and g(x) = -1 in the above equation, we get:

-1 = a(2^2)

-1 = 4a

a = -1/4

Therefore, the equation for g(x) will be g(x) = (-1/4)(x^2).

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Answer:

x = 76°

Step-by-step explanation:

Corresponding angles are formed when a transversal line cuts across two parallel lines. The angles formed are in corresponding position close to the transversal. Corresponding angles formed like this are congruent.

In the diagram given above, BD and XY are parallel lines cut across by a transversal line.

Angle labelled x corresponds with the angle measuring 76°. Therefore they are both congruent. Thus: x = 76°.

The nurse manager approves two staff nurses to attend a national conference.

The nurse manager has given their authorization or consent for two staff nurses to participate in and attend a national conference. This decision indicates that the nurse manager recognizes the value and relevance of the conference for professional development and sees the benefit of the staff nurses' participation. By approving their attendance, the nurse manager demonstrates support for their growth, learning, and exposure to new knowledge, experiences, and networking opportunities available at the conference.

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