Please help me outtttt

Answer: 1/3x -2

Step-by-step explanation:

X-3y =6 subtract x from both sides first

-3y=6-x. Then divide both sides by -3

Y= 6-x /-3 simplify

Y= -2+x/3 rearrange

Y= 1/3x -2

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.

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Answer:

Step-by-step explanation:

Abc

The required coordinate of the fourth vertex is (c, c).

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

here,
A rectangle has vertices (a,b), (c,b), and (a,c)
let the vertex of the first coordinate be [x, y],
Now,
for side a Corrdiante A (a, b) and B (c , b)
Now, coordinate the opposite side C(a, c) and D(x , y)

The coordinates of D must be equal to x coordinate of B and y ordinate of C so,
D(x, y) = D(c, c)

Thus, the required coordinate of the fourth vertex is (c, c).

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Answer:

Step-by-step explanation:

5a - 4b - c  = 8

4a + 2b - c = 2

3a + 4b + 3c = -16

by adding equation 1 and 2 we get

8a + 2c = -8

4a + c = -4

c = -4 - 4a

now substitute c in the 2nd equation

4a + 2b +4 + 4a = 2

8a + 2b = -2

4a + b = -1

b = -1 - 4a

we have b and c in terms of a, now let's find a

5a - 4(-4-4a) - (-1 - 4a) = 8

5a + 16 + 16a + 1 + 4a =8

25a = -9

a = -9/25

b = -1 - 4(-9/25)

b= -1+36/25=11/25

c=-4 -4a = -4 +36/25=-53/25

Answer:

Two real world situations are shown below.

Step-by-step explanation:

Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is

\(f(x)=1(2)^x\)

\(f(x)=(2)^x\)

A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is

\(f(x)=1(2)^x\)

\(f(x)=(2)^x\)

We will have the following:

***Explanation***

We have that absolute value is used in order to obtain magnitudes, and since magnitudes are positive those are the values we are going to obtain.

Now, for example:

|5| = 5

|-5| = 5

|420| = 420

|-69| = 69

|342| = 342

|-23| = 23

This is the nature of the absolute value, it gives us the positive value and thus the magnitude (In other words it removes the "direction" the value had.)

Answer:

It's 60 degrees. if you look carefully at the image, there is 2 angles. it can't be 93 since it is way too narrow.

Step-by-step explanation:

I'm on the question on edge, ill keep you updated if it's wrong.

update: it was correct. hope this helped!

Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°

The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.

Angle 2 and 60° are alternate interior angles, therefore:

Angle 2 = 60° [alternate interior angle theorem].

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The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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Answer:

x = -3

Step-by-step explanation:

Solve for x:

-5 x + 4 = 2 x + 25

Subtract 2 x from both sides:

(-5 x - 2 x) + 4 = (2 x - 2 x) + 25

-5 x - 2 x = -7 x:

-7 x + 4 = (2 x - 2 x) + 25

2 x - 2 x = 0:

-7 x + 4 = 25

Subtract 4 from both sides:

(4 - 4) - 7 x = 25 - 4

4 - 4 = 0:

-7 x = 25 - 4

25 - 4 = 21:

-7 x = 21

Divide both sides of -7 x = 21 by -7:

(-7 x)/(-7) = 21/(-7)

(-7)/(-7) = 1:

x = 21/(-7)

The gcd of 21 and -7 is 7, so 21/(-7) = (7×3)/(7 (-1)) = 7/7×3/(-1) = 3/(-1):

x = 3/(-1)

Multiply numerator and denominator of 3/(-1) by -1:

Answer:  x = -3

Answer:

x = -3

Step-by-step explanation:

=> 4-5x=2x+25

=> -5x-2x= 25-4

=> -7x = 21

=> x = -21/7

=> x = -3

The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.76%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered paintings.

Then the probability that Tim's and Abby's paintings are in the 6th and 7th positions will be

\(P = \dfrac{1}{^{12}P_2} \\\\\\P = \dfrac{1}{\dfrac{12!}{(12-2)!}}\\\\\\P = \dfrac{1}{132}\\\\\\P= 0.007575 \approx 0.0076 \ or \ 0.76 \%\)

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The percentage of the data values in the box-and-whiskers plot, that are greater than or equal to 92, which is the 75th percentile, based on the five number summary, are 25 percent of the data.

The five number summary of a box-and-whiskers plot are value of the minimum, the first quartile, the median, the third quartile and the maximum value of the set of data.

Please find attached the possible box-and-whiskers plot in the question, obtained from a similar question on the internet

The five number summary from the box-and-whiskers plot are;

Minimum value = 82

The first quartile or the 25th percentile = 87

The median, second quartile or the 50th percentile = 90

The third quartile or the 75th percentile = 92

The value 92 on the data represents the 75th percentile, therefore, the percentage of the data that are greater than or equal to 92 are; 100 - 75 = 25 percent

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Answer:

176 leaps

Step-by-step explanation:

5280 feet in a mile, do 5280 divided by 30 to get 176

176 leaps :)

Answer:

176

Step-by-step explanation:

5280 feet is in 1 mile. if you divide that by 30 you get 176. resulting in it will take it 176 leaps to make a mile

Answer:

Step-by-step explanation:

external angles are equal

therefore, x = 135

Answer:

y = x+1

Step-by-step explanation:

draw a table / write down ratios of the values of x and y. Then, you will notice the difference/ similarity

Answer:

y = x + 1

Step-by-step explanation:

equation of the line :

y = my + p  ; m is the slope and p is the y-intercept.

The line cross the —axis at the point (0,1) then

p = 1

the line passes through (0,1) and (1,2) then

m = (2-1)/(1-0) = 1/1 = 1

conclusion:

y = x + 1

The range of the population standard deviation with a 95% confidence level  = 0.33 ≤ σ ≤ 0.87.

A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point. Whether we consider the data to be a population unto itself or a sample of a larger population affects the formula we use to calculate standard deviation.

Sample data, x: {6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7}

Sample size n = 10

Applying chi-square statistics with df=n-1=9-1=8

now 95% confidence interval is given by:

= \(\sqrt{\frac{(n-1) S^2}{\chi_{8,0.025}^2}} < \sigma < \sqrt{\frac{(n-1) S^2}{\chi_{8,0.975}^2}}\)

= \(\sqrt{\frac{(9-1) * 0.462^2}{17.53}} < \sigma < \sqrt{\frac{(9-1) * 0.462^2}{2.18}}\)

=  0.107 ≤ σ² ≤ 0.757

= 0.33 ≤ σ ≤ 0.87

The range of the population standard deviation with a 95% confidence level  = 0.33 ≤ σ ≤ 0.87.

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I understand that the question you are looking for is:

The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Find the sample variance s2 then construct a 95% confidence interval for the population standard deviation σ. Round sample variance to three decimal places. Assume that the population has a normal distribution. Critical values should have three decimal places and confidence interval limits should have two decimal places.

6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7

The equation for a cosecant function with vertical asymptotes found at x = nπ such that n is an integer is `y = csc(x - nπ)`.

The cosecant function is the reciprocal of the sine function. The cosecant of a particular angle in a right triangle is the ratio of the hypotenuse to the side opposite the angle.

The cosecant function is written as follows: `csc(x) = 1/sin(x)`

Asymptotes are straight lines or curves that a graph approaches but never touches.

As a result, the graph of a curve gets closer and closer to the asymptote as it moves further away from the origin, but it never touches it.

For a function to have vertical asymptotes at `x = nπ`, the denominator of the function should equal zero. In the cosecant function, the denominator is equal to `sin(x - nπ)`.

Therefore, the vertical asymptotes are where `sin(x - nπ) = 0`.

The general form of the cosecant function is `y = A csc(B(x - C)) + D`.

The constants A, B, C, and D are used to alter the form of the graph of the cosecant function.

They can be used to alter the amplitude, period, phase shift, and vertical displacement of the graph, respectively.

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Answer: 12

Step-by-step explanation:

From the question, we are informed that Joakim is icing 30 cupcakes and that he spreads mint icing on 1/5 of the cupcakes. This means that he spreads 1/5 × 30 = 6 cupcakes.

After spreading 6 cupcakes, he will have: 30 - 6 = 24 cupcakes left. We are told that he spreads chocolate on 1/2 of the remaining. This means that he spreads chocolate on 1/2 × 24 = 12 cupcakes.

Therefore, he will have 12 left

= 24 - 12

= 12

Therefore, the rest that'll get vanilla icing will be 12 cupcakes

The quadratic function contains the points (-1,1), (0,-2), and (2,4) is \(y=2x^{2} -x -2\)

The general equation of a quadratic equation is given by

\(y=ax^{2} +bx +c\)......equation(1)

Now, the quadratic function contains the points (-1,1), (0,-2), and (2,4).

Putting these values in the quadratic equation,

Putting x = -1 and y = 1 in the equation, we have

1 = a(-1^2) +b(-1) +c

1 = a -b +c ......equation (2)

Putting x = 0 and y = -2 in the equation, we have

-2 = a(0) +b(0) +c

c = -2

Putting x = 2 and y = 4 in the equation, we have

4 = a(2^2) +b(2) + (-2)

4 = 4a +2b -2

2 = 2a + b -1

2 +1 = 2a + b

2a + b = 3

b = 3 -2a

Now, putting b = 3 - 2a and c = -2 in equation (2), we have

1 = a - (3 -2a) + (-2)

1 + 2 = a -3 +2a

3 + 3 = 3a

6 = 3a

a = 6/3 = 2

Now, b = 3 - 2*2 = 3 - 4 = -1

Thus, a = 2, b = -1 and c = -2

Putting these values in the general equation, we get

\(y=2x^{2} -x -2\)

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Answer:

D

Step-by-step explanation:

Step-by-step explanation:

you can use the app photo math or mathaway. its help alot the app also explains the work

Answer:

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

PEMDAS stands for the procedure you take when solving an equation

Answer:

PEMDAS

Step-by-step explanation:

P(arenthesis)

E(xponents)

M(ultiplication)

D(ivision)

A(ddition)

S(ubtraction)

After caculating, a) Matrix is given below, b) C₁ = 65460/193,C₂ = 48480/193, C₃ = 64460/193, c)The mass input to reactor 3 is reduced by 40g/day and d) Change of concentration is Δ C₃ = 2950/193

To solve the system of equations, we can use Gaussian elimination or any other suitable method. Here, we will use Gaussian elimination:

Given:

15C₁-2C₂-C₃=4000

-3C₁+18C₂-6C₃=1500

-4C₁-C₂+12C₃=2400

Therefore:

\(A=\left[\begin{array}{ccc}15&-3&-1\\-3&18&-6\\-4&-1&12\end{array}\right]\)\(B=\left[\begin{array}{ccc}4000\\1500\\2400\end{array}\right]\)

a) The inverse matrix of A would be

\(A^-^1\left[\begin{array}{ccc}14/193&37/2895&12/965\\4/193&176/2895&31/965\\5/193&9/965&87/965\end{array}\right]\)

b) For solution of [C] = [A^-1][B]

\(C=\left[\begin{array}{ccc}C1\\C2\\C3\end{array}\right] =\left[\begin{array}{ccc}14/193&37/2895&12/965\\4/193&176/2895&31/965\\5/193&9/965&87/965\end{array}\right] \\\)

C₁ = 65460/193

C₂ = 48480/193

C₃ = 64460/193

c) For increasing the concentration [C₁] by 10

C₁ = 65460/193 +10

=67390/193

Now again,

\(\left[\begin{array}{ccc}15&-3&-1\\-3&18&-6\\-4&-1&12\end{array}\right] \left[\begin{array}{ccc}67390/193\\48480/193\\64460/193\end{array}\right] =\left[\begin{array}{ccc}4150\\1470\\2360\end{array}\right]\)

So from the calculation= 2360 -2400= -40

Therefore the mass input to reactor 3 is reduced by 40g/day

d) Now again reducing mass input

\(B=\left[\begin{array}{ccc}4000-500\\1500-250\\2400\end{array}\right] = \left[\begin{array}{ccc}3500\\1250\\2400\end{array}\right] \\\\C=\left[\begin{array}{ccc}C1\\C2\\C3\end{array}\right] = \left[\begin{array}{ccc}173530/579\\130640/579\\61510/193\end{array}\right]\)

Δ C₃=C₃-C₃’

=64460-61510/193

= 2950/193

Δ C₃ = 2950/193

Therefore that is the change of concentration.

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The correct conversion is  18.28° can be expressed as 18°16' without decimals.

a.To perform the operation 13°56'26" + 8°43'42", we add the degrees, minutes, and seconds separately:

Degrees: 13° + 8° = 21°

Minutes: 56' + 43' = 99' = 1°39' (since 60 minutes = 1 degree)

Seconds: 26" + 42" = 68" = 1'8" (since 60 seconds = 1 minute)

Therefore, 13°56'26" + 8°43'42" = 21°1'39" + 1°8" = 22°9'47".

II. To perform the operation 18°17' - 4°45', we subtract the degrees, minutes, and seconds separately:

Degrees: 18° - 4° = 14°

Minutes: 17' - 45' = -28' = -28'

Seconds: There are no seconds in this operation.

Therefore, 18°17' - 4°45' = 14°-28'.

b.i. To express 0.3° without decimals, we convert it to minutes:

0.3° = 0°18'

Therefore, 0.3° can be expressed as 0°18' without decimals.

ii. To express 18.28° without decimals, we split it into degrees and minutes:

18.28° = 18° + 0.28°

Since 1 degree = 60 minutes, we can convert 0.28° to minutes:

0.28° = 0°16.8' = 0°16' + 0.8'

Therefore, 18.28° can be expressed as 18°16' without decimals.

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a. The base calculation of the ticket price can be determined by considering various costs and factors associated with operating the bus. The calculation should include costs such as the initial price of the bus, fuel expenses, driver wages, insurance, maintenance, and other operational costs. By dividing the total costs by the number of passengers expected to be carried during the bus's lifespan, the base ticket price can be determined.

b. When suggesting the actual accumulated charges to be imposed in the future, it is important to consider factors such as inflation, changes in operating costs, market demand, and competitive pricing. The government should conduct market research and analysis to understand the dynamics of the transportation industry, evaluate the impact of potential charges on consumers and businesses, and strike a balance between affordability for passengers and profitability for bus operators. The suggested charges should aim to ensure sustainability and a fair return on investment for the operators, while also considering the economic well-being of the population.

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The simplest form of fraction of the given terms is 43/40.

According to the statement

we have to find that the simplest form of the fraction by evaluating.

So, For this purpose, we know that the

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

The given expression is

7/8+ 1/5

Now, to solve it take a LCM of it then

35+8/40

Now solve the term then the equation become

43/40.

Now, The simple form of the fraction become the 43/40.

So, The simplest form of fraction of the given terms is 43/40.

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Virtual reality has had the most significant impact on de la Pena's journalism career due to its ability to provide a more immersive and engaging news experience and its potential to reach a wider audience.

The question is about the future of news and the impact of virtual reality on de la Pena's journalism career.

In terms of the most significant impact on de la Pena's career, it can be argued that virtual reality has had the most significant impact. This is because virtual reality has revolutionized the way news is presented and consumed.

Virtual reality allows journalists like de la Pena to immerse their audience in a story by providing a more immersive and engaging experience. By using virtual reality, de la Pena has been able to create powerful and impactful stories that allow the audience to experience events and situations firsthand. This has the potential to create a deeper understanding and empathy among viewers.

Furthermore, virtual reality has also expanded the reach of journalism by allowing audiences from different parts of the world to experience stories that they wouldn't have been able to otherwise. This has the potential to foster a more global perspective and increase awareness of important issues.

Overall, virtual reality has had the most significant impact on de la Pena's journalism career due to its ability to provide a more immersive and engaging news experience and its potential to reach a wider audience.

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Answer:

6

Step-by-step explanation:

11x13=143

5x13 = 65

143 - 65 = 78

78/13= 6

If 4/7 of the puffs that Mr. Tan made were curry puffs and he made 32 curry puffs, then the total number of puffs that he make in all is 56 puffs

The fraction of curry puffs made by Mr. Tan = 4/7

Total number of curry puffs made by Mr. Tan = 32 curry puffs

The rest of the puffs were sardine puffs

Consider the total number of puffs he made as x

Then the equation will be

x × 4/7 = 32

Move 4/7 to the right hand side of the equation

x = 32 ÷ 4/7

x = 32 × 7/4

Divide the terms

x = 32 × 1.75

multiply the terms

x = 56

Therefore, he made 56 puffs in total

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Answer:

Odel has sold 84 Pizzas and Sam has sold 42

Step-by-step explanation:

:p