Which statement about geometric figures is true?
O A ray has exactly two endpoints.
O On a coordinate plane, parallel lines have the same slope.
O Two lines on a coordinate plane that do not intersect are perpendicular.
O An angle is formed by a set of points that are all equidistant from a common point.

The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

Learn more about optimal solution

brainly.com/question/30575901

#SPJ11

Answer:

If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.  

i didnt really understand the question but hope this helps

According to the information given, we have that:

For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

Item a:

Hence, a binomial model with \(p = 0.5\) and \(n = 4\) should be used.

Item b:

P(B) is P(X = 3), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25\)

Hence, P(B) = 0.25.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

The inequality represented in the graph is y≥ -3x+4

Graphing inequalities is the process of showing what part of the number line contains values that will "satisfy" the given inequality.

≥ is greater or equal to

≤ is less than or equal to

> is greater than

< is less than

The equation of a line is given as y = mx+c

where c is the y intercept and x m is the slope

The slope of the line = 4-1/0-1

= 3/-1

= -3

Therefore slope is -3

and y intercept is 4

therefore the equation of the line is y = -3x +4

Just because the line is a bold line the graph of inequality is ;

y ≥ -3+4

learn more about inequality graph from

https://brainly.com/question/24372553

#SPJ1

Solution:

Given the triangle below where K is in the incenter:

Thus, we have

step 1: In the triangle DGK, find DK.

Thus, by Pythagoras theorem, we have

step 2: In the triangle KDI, find DK.

Similarly, we have

Step 3: Equate the equations in steps 1 and 2.

This gives

The value of x is

There are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.

To solve this problem, we can use a technique called "complementary counting." First, let's find the total number of ways to choose 5 books from a shelf of 12. This is simply 12 choose 5, which is:
12! / (5! × 7!) = 792
Now, let's count the number of ways to choose 5 books from a shelf of 12 where two adjacent books are chosen. We can do this by treating the adjacent books as a single unit, and then choosing 4 more books from the remaining 11. This gives us:
11 choose 4 = 330
So, there are 330 ways to choose 5 books from a shelf of 12 where two adjacent books are chosen.
Finally, we can subtract this number from the total number of ways to choose 5 books to get the number of ways to choose 5 books where no two adjacent books are chosen:
792 - 330 = 462
Therefore, there are 462 ways to choose 5 books from a shelf of 12, if you cannot choose two adjacent books.

To learn more about books, click here:

https://brainly.com/question/12440332

#SPJ11

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

x + y = 420; y = 6x

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.

The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.

To know more about Fish visit:-

brainly.com/question/29657983

#SPJ4

Answer:

85.24 grams

Step-by-step explanation:

28.2 + 57.04 = 85.24

Answer:

111.21

Step-by-step explanation:

Took the test

Consider the function f(x) = (x)^2+2 which is equivalent to the given function. In here, we are taking whatever is inside the the parenthesis , we raise it to the power of 2 and then add 2. Note that if we change the x for a t, we will get f(t) = (t)^2+2 which is essencially the same thing.

To solve this question we will use the following formula

So, now we simply replace and simplify:

Answer:

x= plus or minus square root of 19 -4

Step-by-step explanation:

x^2+8x ___=3

take half of your b term (8) and then multiply by two and add or subtract it to both sides

x^2+8x+16=3+16

then combine like terms

x^2+8x+16=19

then factor your quadratic equation

(x+4)^2=19

now solve for x

take the square root of (x+4)^2 to get rid of the ^2

you then also have to square the 19 because what you do to one side you have to do to the other

(x+4)= square root of 19

subtract 4 from both sides

x= plus or minus square root of 19 -4

Answer:

Step-by-step explanation:

Divide the coefficient of x by 2

8/2 = 4. Now find the square of 4 = 4² = 16

Add 16 to both sides of the equation

x² + 8x + 16 = 3  + 16

x² + 2* x * 4 + 4² = 19

{Compare with a² + 2ab + b² = (a + b)² }

(x + 4)² = 19

Both sides take square root,

\(\sqrt{(x+ 4)^{2}}=\sqrt{19}\\\\x + 4 = \sqrt{19}\)

x + 4 = ± 4.36

x + 4 = 4.36   ; x +  4 = -4.36

x = 4.36 -4     ;    x  = -4.36 - 4

x = 0.36         ; x = - 8.36

The temperature after a "very long time" in the heat conduction model on a metal circular ring of radius 1, with an initial temperature of 2δ(θ - 4π), approaches a constant value of zero.

The heat equation describes the behavior of temperature distribution over time in a conducting medium. In this case, we have a metal circular ring with a radius of 1, and the initial temperature is given by 2δ(θ - 4π), where δ represents the Dirac delta function and θ is the angular coordinate.

To solve the heat equation for this scenario, we need to consider the boundary conditions, which include the initial temperature distribution and the properties of the ring. The initial temperature distribution indicates a temperature spike at θ = 4π and zero temperature elsewhere.

As time progresses, the heat conduction in the metal ring will cause the temperature to equalize throughout the ring. Since the heat is continuously dissipating to the surroundings, the temperature will tend towards a steady-state condition. In the case of a "very long time," the temperature will approach a constant value of zero.

This result can be understood by considering the heat diffusion process. As time increases, the heat will flow from regions of higher temperature to regions of lower temperature until equilibrium is reached. In this case, since the initial temperature is concentrated at a single point and dissipates continuously, the temperature will eventually reach a state where it is uniformly distributed and approaches zero.

Learn more about Temperature

brainly.com/question/12035620

#SPJ11

Answer:

The answer is B.

Step-by-step explanation: All the inputs don't have a unique output. B is the only sensible option. If you need more explaining to help with future problems, please let me know!

Step-by-step explanation:

= f( g(2) )

= 3(2x + 1) + 1

= 6x + 3 + 1

= 6x + 4

= 6(2) + 4

= 12 + 4

= 16

f(g(2)) = 16

Answer:

Step-by-step explanation:

Answer:

$72.00

Step-by-step explanation:

Amount of discounted money

= 10/100 x $80.00

= $8

Amount he will pay

= $80.00 - $8.00

= $72.00

Answer: y = (x + 3)2 − 4 is the equation of the function.

Step-by-step explanation:

Answer:

1000 km^3

Step-by-step explanation:

1 km=1000m

1 cubic kilometer is equivalent to 1,000,000,000 cubic meters, due to cubing the conversion factor of 1,000 (meters per kilometer).

1 cubic kilometer is equivalent to 1,000,000,000 (one billion) cubic meters. When converting units, you need to remember the relationships between those units. In this case, 1 kilometer is equivalent to 1000 meters. Therefore, to convert from cubic kilometers to cubic meters, you need to cube the conversion factor (1000 meters/kilometer). Hence, 1 cubic kilometer = 1,000^3 cubic meters = 1,000,000,000 cubic meters.

https://brainly.com/question/32030244

#SPJ2

Therefore , the solution of the given problem of unitary method comes out to be 45 copies of the magazine are still available at the bookstore.

Use the tried-and-true core approach, the real variables, nor any useful information you learn from the general and detailed questions to finish the project expression. Customers may be given another chance to taste the products in response. If these improvements don't happen, we'll miss out on significant advancements in programming comprehension.

Here,

Let's figure out how many issues of the magazine are still available in the store.

Given: There were 90 copies in all when the bookstore opened.

1/6 of the total copies were sold at the bookstore yesterday.

=> 15 copies were sold yesterday = (1/6) * 90.

=> Total copies - Copies sold yesterday = 90 - 15 = 75 Remaining copies after yesterday's sale

=> 2/5 of the remaining copies were sold in the bookstore today.

30 copies were sold today, which

=>  (2/5) * 75.

The quantity of copies left after today's sale equals the quantity left after yesterday's sale. - Today's sales of copies:

=>  75 - 30 = 45

45 copies of the magazine are still available at the bookstore.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1  

Answer:

43 p

Step-by-step explanation:

total cost = 10 - 4.84 = 10.00 - 4.84 = £5.16

b + t = 5.16

t = 11b

b + 11b = 5.16

12b = 5.16

12 / 12 b = 5.16/12

b = £0.43

The straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.

To find the straight-line distance from the wilderness area to the Morrisons' campsite, we can use the Pythagorean theorem.

Let's consider the campsite as the origin (0, 0) on a coordinate plane. The wilderness area is located 3 miles due north and 4 miles due east from the campsite. Therefore, its coordinates are (4, 3).

Using the Pythagorean theorem, the straight-line distance d is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates of the campsite (0, 0) and the wilderness area (4, 3) into the formula, we get:

d = √((4 - 0)² + (3 - 0)²)

= √(4² + 3²)

= √(16 + 9)

= √25

= 5

Therefore, the straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.

Learn more about  area from

https://brainly.com/question/25292087

#SPJ11

This is the flat horizontal graph

========================================================

Explanation:

If it is possible to pass 1 single vertical line through more than one point on the curve, then that curve is not a function. It is said that the curve fails the vertical line test in this case.

Choice A, B and D are examples of this.

In each of these graphs, we have an input that leads to multiple outputs.

Rule: A function has one output for any given input

Put another way, one input and one output.

The inputs in question must be in the domain.

------------

In choice C, we have any given x input lead to exactly one y output. The graph passes the vertical line test since it's impossible to pass a single vertical line through more than one point on this graph.

This is why choice C is the answer, which is the flat horizontal graph.

Answer:

The third picture represents a function.

Step-by-step explanation:

The vertical line test is basically making sure that two points do not have the same x-coordinate. In the first graph, the two lines share the same x-coordinates on each point, therefore, it is not a function.

The second picture is a vertical line, and functions cannot be a vertical line, therefore it isnt a function.

In the fourth picture, several points have the same x-coordinate as well.

If you still dont understand the vertical line test, heres an example from the fourth picture:

Point (-2,2) and Point (-2,-2) are both points that fall on the curve. They both have the same x-coordinate, -2. Because of this, the graph cannot be a function. Several other points on the graph also share a same x-coordinate.

Hope this makes sense and helps :)

a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

For similar question on equation.

https://brainly.com/question/25976025

#SPJ8

We are given the following two points

Let us first find the slope of the line.

The slope of the line is given by

Let us substitute the given points into the above slope formula

So, the slope of the line is -5/7

Answer:

Angle 13 equal 90 and Angle 12 equal 45

Step-by-step explanation:

This is a square so all of the corner angles and the diagonals angles measure 90 degrees. A square also forms 4 congruent isoceles triangles or technically 45-45-90 triangles. So that means the following angles measure 45 degrees since they share a point

Angle 5,6,7,8,9,10,11,12. So the measure of 12 is 90 degrees.

To find the measure of 13, in a square diagonals bisect each other and form perpendicular lines so that means every angle in the middle of the square measure 90 degrees.

Using that

Angle 13,15,16 and R measure 90 degrees so Angle 13 equal 90.

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6)

The equations are given as: y = 1.5x - 4 & y = -x

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables

Substitute y = -x in the first equation

-x = 1.5x - 4

Collect like terms

-1.5x - x = -4

Any set of values of x1, x2, x2,…xn which simultaneously satisfies the system of linear equations given above is called a solution of the system. If the system of equations has one or more solutions, the equations are called consistent. Also, if the system of equations does not admit any solution, then the equations are called inconsistent.

This gives

-2.5x = -4

Divide both sides by -2.5

x = 1.6

Substitute x = 1.6 in y = -x

y = -1.6

Hence, the solution to the system of equations is (1.6,-1.6).

For more such questions on system of equations

https://brainly.com/question/13997560

#SPJ4

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

Learn more about statistical process control here:

https://brainly.com/question/32323372

#SPJ11

3.31 it will take her to complete the triathlon.

To find this, we can apply the equation distance = rate x time.

We are aware of the length and pace of each triathlon leg. Let's name them, respectively, d and r. We must locate the time, which we shall designate as t.

d = r x t    or

t = d/r

The distance is 0.93, or 93/100, and the rate is 1.2, or 12/10 when swimming. As a result of our formula, we have:

12/10 divided by 93/100 yields the same result as

93/100 * 10/12

time to swim = 93/120 = 31/40

We have a distance of 24.8 miles, or 248/10, and a speed of 18.8 miles, or 188/10, for biking. Using the same formula, we obtain:

248/10 divided by 188/10 or

248/10 * 10/188 = 248/188 = 62/47 = time to bike

Finally, for the run, the distance is 6.2 = 62/10 and the rate is 5.1 or 51/10. Plugging this into the formula gives:

62/10 divided by 51/10 or

62/10 * 10/51 = 62/51 = time to run

= 31/40 + 62/47 + 62/51

=3.31

Know more about distance

https://brainly.com/question/26046491

#SPJ4

Answer:

No I dont agree with Mai. As both the slug and snail are moving with constant speed.

Step-by-step explanation:

Given that:

A slug travels 3 centimeters in 3 seconds.

Speed of slug = distance/ time = 3/3 = 1 cms^-1

A slug travels 3 centimeters in 3 seconds.

Speed of snail = distance/ time = 6/6 = 1 cms^-1

Hence both have constant speeds only the time span for snail is increased which gives more distance it doesn't means that it had covered more distance.

i hope it will help you!