x-3= 0 and 4x+2y-1= 0​

The money that Janet spent on food for the party was $18.26

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

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Janet went to the grocery store Thursday night and spent $20.27. She paid $2.01 on two acorn squash. Hence:

Money spent on food for the party = 20.27 - 2.01 = $18.26

The money that Janet spent on food for the party was $18.26

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Answer:

5.25 hours

Step-by-step explanation:

One week = 7 days

7 x 0.75 = 5.25 Hours

Hope this helps, mark as brainliest :)

Answer:

5.25 hours

Step-by-step explanation:

So in a week there is 7 days and we know she reads EACH night 0.75  so we know we have to multiply:

0.75 x 7= 5.25

So In one week or 7 days she read 5.25 hours.

Hope this helps, and have good day :3

Answer: The radius would be twelve

Step-by-step explanation:

The radius of a sphere would be 12 cm. By putting the value of volume we can find the radius of the sphere. The radius of a sphere would be 12 cm.

Hello!

\(\large\boxed{-16}\)

Use PEMDAS (order of operations) to solve:

-4 · [3 + (-5)²] ÷ 7

Square -5:

-4 · [3 + 25] ÷ 7

Add the numbers inside of the parenthesis:

-4 · [28] ÷ 7

Multiply -4 and 28:

-112 ÷ 7

Divide:

= -16.

Answer:

-2≤x≤2   f(x)=[x+3]

first  the sign is ≤ it means the point is solid point and the interval is x+3

The minimax regret criterion, also known as the minimax regret strategy, is an approach used in decision theory by economists. It aims to minimize the maximum regret that could be experienced when choosing a particular course of action.

The minimax regret criterion is a decision-making technique that takes into account the potential regret associated with each possible decision. It recognizes that decision-makers often face uncertainty and that their choices may lead to outcomes that are different from what was initially expected. By considering the worst-case scenario or maximum regret for each decision, the minimax regret criterion helps decision-makers select the option that minimizes the potential regret.

In this approach, decision-makers evaluate the consequences of their choices by comparing the actual outcome with the best outcome that could have been achieved if a different decision had been made. The minimax regret strategy focuses on minimizing the maximum regret across all possible decisions, aiming to choose the option that would result in the least regret, regardless of the actual outcome.

Economists often use the minimax regret criterion to analyze decision problems under uncertainty, particularly when the consequences of different actions cannot be precisely predicted. It provides a framework for decision-making that incorporates risk aversion and the desire to minimize the potential for regret. By considering the worst possible outcomes, decision-makers can make more informed choices that take into account the potential regrets associated with their decisions.

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Answer:

150

Step-by-step explanation:

One serving need:

\(\frac{3}{2}\) apples, \(\frac{1}{3}\) banana, \(\frac{1}{5}\) mango, 5 raspberries

without having any fruit left over means:

all the fruit needed are integer

so we should find how many serves will cause the fruit needed are integer.

\(\frac{3}{2}=\frac{3\times3\times5}{2\times3\times5}=\frac{45}{30}\)

\(\frac{1}{3}=\frac{1\times2\times5}{3\times2\times5}=\frac{10}{30}\)

\(\frac{1}{5}=\frac{1\times3\times2}{5\times3\times2}=\frac{6}{30}\)

⇒ 30 serving need fruit 45 apple, 10 banana, 6 mango, and the raspberries need:

\(5\times30=150\)

I hope this helps you

:)

Answer:

50°

Step-by-step explanation:

65 + 65 +C = 180

130+C = 180

C = 180 - 130 = 50

Hi there!

\(\large\boxed{C = 50^o}\)

A line contains an angle of 180°, so:

∠C = 180° - 65° - 65°

∠C = 180° - 130°

∠C = 50°

The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.

A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.

To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.

To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:

a1 = 3(1) + 4 = 7

Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.

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Answer:

-1/3

Step-by-step explanation:

(6,-2) (-3,1) -2-1 = -3

6-(-3) = 9

-3/9 = -1/3

Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

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the equation that represents a circle with a center at (- 4 9 and a diameter of 10 units is (x + 4)^2 + (y - 9)^2 = 25.

Given:

Center: (-4, 9)

Diameter: 10 units

We know a circle centered at (h, k) with a diameter of d units has an equation in the form of (x-h)^2 + (y-k)^2 = d^2.

Using the given information, we can plug it into the circle equation:

(x - (-4))^2 + (y - 9)^2 = 10^2

Simplifying:

(x + 4)^2 + (y - 9)^2 = 25

Therefore, the equation that represents a circle with a center at (- 4 9 and a diameter of 10 units is (x + 4)^2 + (y - 9)^2 = 25.

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Answer:

58

Step-by-step explanation:

Total area = 7 × 10 - 6 × 2 = 70 - 12 = 58 units²

Answer:

a set of integers is closed under addition, subtraction, and multiplication because when you add, subtract, or multiply any integers, the result is always an integer.

Step-by-step explanation:

Answer:

10 eggs for 40 dozens

Step-by-step explanation:

40÷8=5

5*2=10

Our created proportion is 8:2::40:x

Therefore, for 40 dozen cookies, 10 eggs are required.

Hoped this helped.

\(BrainiacUser1357\)

The correct answer is D. No, the result from part (a) could not be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants.

b. No, the result from part (a) could not be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants.

This is because a count of people must result in a whole number, and in this case, the number of survey subjects is 163, which is a whole number. The result from part (a), which is 115.73, is not a whole number and therefore cannot represent the actual count of survey subjects. It is likely that the percentage was calculated based on a rounded value of the actual count.

In part (a), the question asks for the exact value that is 71% of 163 survey subjects. To find this value, we multiply 163 by 0.71, which gives us 115.73. However, since the count of survey subjects must be a whole number, 115.73 cannot represent the actual number of individuals who said that their companies conduct criminal background checks on all job applicants.

It is important to note that in survey research, percentages are often calculated based on rounded numbers or estimated values. The result is then presented as a whole number or a percentage for ease of understanding and interpretation. In this case, the percentage of 71% was likely rounded from a more precise calculation, and the result of 115.73 is the exact value obtained from that calculation. However, when dealing with counts of people, it is necessary to have whole numbers, as you cannot have a fraction of a person.

#In a study conducted by a human resource management organization, 163 human resource professionals were surveyed. Of those surveyed, 71% said that their companies conduct criminal background checks on all job applicants.  a. What is the exact value that is 71% of 163 survey subjects? The exact value is 115.73. (Type an integer or a decimal. Do not round.) b. Could the result from part (a) be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants? Why or why not? A. Yes, the result from part (a) could be the actual number of survey subjects who said this because the result is statistically significant. B. Yes, the result from part (a) could be the actual number of survey subjects who said this because the polling numbers are accurate. C. No, the result from part (a) could not be the actual number of survey subjects who said this because that is a very rare outcome. D. No, the result from part (a) could not be the actual number of survey subjects who said this because a count of people must result in a whole number.

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To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation.

In the given experiment, the researchers have not employed any form of blinding, which could be a potential source of bias. Blinding is a critical aspect of experimental design, where the participants or the researchers are unaware of the group allocation or the treatment being administered. Blinding is used to eliminate any potential sources of bias that may arise due to the expectations or beliefs of the researchers or participants. In this particular study, the lack of blinding could have led to two possible sources of bias. Firstly, the participants in the first group who received the meditation session could have had higher expectations of improvement in their flexibility due to the meditation. These expectations could have led to higher motivation and effort during the flexibility measurement, leading to an artificial improvement in their flexibility scores. Secondly, the researchers who were measuring the flexibility of the participants could have been biased towards finding a difference between the groups due to their knowledge of the group allocation. This could have led to a subconscious alteration in the measurement process, leading to a false conclusion about the effect of meditation on flexibility.

hence To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation. For instance, the participants could have been assigned a unique identification number, and the researchers could have used coded labels to differentiate the groups. This would have eliminated any potential sources of bias due to expectations or beliefs and would have made the results more reliable.

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Travis's checking account new balance, after wrote five checks to the employees of his business is - $235

To solve this problem, we have to state the equation using the information of the problem

Information about the problem:

Calculating the checks total amount Travis wrote to the employees of his business:

Total amount for his employers = Check amount of each employer * No. of checks

Total amount for his employers = $225 * 5

Total amount for his employers = $1125

Calculating the final balance, we have:

Final balance = Original balance - Total amount for his employers

Final balance = $890 - $1125

Final balance = - $235

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Answer:

2.50

Step-by-step explanation:

You have to divide money by units

Answer:

Step-by-step explanation:

Also written as-

 4x - 27 = x

     + 27  +27

(add 27 to both sides)

The new equation would be written as-

 4x = x + 27

  -x   -x

(subtract x from both sides)

  \(3x = 27 \\ \\ \frac{3x}{3} =\frac{27}{3} \\ \\ x=9\)

The number is 9

The correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.

Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.

Here we have two pieces of information

Gas station A:-

3 gallons for $9.15

1 gallons for  $9.15 / 3 = $ 3.05

Gas station B:-

P = 3.08g

It means that station B is selling the gasoline at a higher price.

Therefore the correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.

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False. The magnitude of a vector is always a positive value or zero. It represents the length or size of the vector, and by definition, it is a non-negative quantity.

In mathematics and physics, a vector is a mathematical object that has both magnitude (size) and direction. The magnitude of a vector is a scalar value that quantifies the length or size of the vector, and it is always a positive value or zero.

The magnitude of a vector is denoted by placing vertical bars or double vertical bars around the vector symbol. For example, the magnitude of a vector "v" is written as ||v|| or |v|. It represents the distance or length from the origin to the point represented by the vector.

The reason the magnitude of a vector is always non-negative is due to its definition. It is the square root of the sum of the squares of its components. Since squaring a value always produces a non-negative result, the sum of the squares is also non-negative. Taking the square root of a non-negative value yields a positive value or zero.

For example, if we have a vector with components (3, 4), the magnitude of the vector would be calculated as follows:

||v|| = \(sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5\)

Here, the magnitude of the vector is 5, which is a positive value. Therefore, the statement that the magnitude of a vector is always negative is false.

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To calculate the UIF (Unemployment Insurance Fund) deduction from Mrs. Mdluli's salary, we need to know her gross salary and the current UIF contribution rate.

The current UIF contribution rate is 1% of the employee's gross salary, subject to a maximum amount of R148.72 per month. This means that if an employee's gross salary is above a certain threshold, the maximum UIF deduction of R148.72 will be applied.

Once we have Mrs. Mdluli's gross salary, we can calculate her UIF deduction using the following formula:

UIF deduction = Gross salary x UIF contribution rate

If Mrs. Mdluli's gross salary is above the threshold amount, the UIF deduction will still be capped at R148.72 per month.

Therefore, to calculate the missing value of A that will reflect on Mrs. Mdluli's salary slip, we need to know her gross salary and the current UIF contribution rate. Once we have these values, we can use the above formula to calculate the UIF deduction that will be reflected on her salary slip.

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Explanation: Since the y moves to the right 2, then it changes from 0 to 2.

Answer:

c

Step-by-step explanation:

edge 2020

Answer:

Step-by-step explanation:

To forecast for month t+2 without the real value for t+1, we can use the forecasted value for month t+1 as an input in the simple exponential smoothing method.

When using simple exponential smoothing to forecast future values, we rely on the available data up until a certain point in time (month t in this case). However, to forecast for month t+2, we face the challenge of not having the real value for month t+1. In such a situation, we can still proceed with the forecast by utilizing the forecasted value for month t+1 as an input.

The process of simple exponential smoothing involves assigning weights to the historical data points, with higher weights given to more recent observations. By taking into account the forecasted value for month t+1, we can adjust the weights accordingly and incorporate the best estimate for t+1 in our forecast for t+2. This approach allows us to make a reasonable projection for the value in month t+2, even in the absence of the actual t+1 value.

by utilizing the forecasted value for month t+1 as an input in the simple exponential smoothing method, we can overcome the lack of the real t+1 value and generate a forecast for month t+2.

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The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Answer:

See below

Step-by-step explanation:

Can't provide answer for some reason, so adding its screen shot

Function describes the graph of the transformed function is  4*e^(x-1)+3.

What is Function?

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

Adrienne is close, but she mixed up left and right

The x-1 in the exponent means we shift 1 unit right, and not left.

It's a bit confusing since it seems backwards.

But you can think of it like this: replacing x with x-1 shifts the xy axis 1 unit to the left, so we have the illusion the curve moved 1 unit to the right.

Here's one way to write out the transformation steps

f(x) = e^x

4*f(x) = 4*e^x .... vertical stretch by factor of 4

4*f(x-1) = 4*e^(x-1) ... shift 1 unit right

4*f(x-1)+3 = 4*e^(x-1)+3 ... shift 3 units up

g(x) = 4*e^(x-1)+3

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Function describes the graph of the transformed function is  4*e^(x-1)+3.

What is Function?

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

Adrienne is close, but she mixed up left and right

The x-1 in the exponent means we shift 1 unit right, and not left.

It's a bit confusing since it seems backwards.

But you can think of it like this: replacing x with x-1 shifts the xy axis 1 unit to the left, so we have the illusion the curve moved 1 unit to the right.

Here's one way to write out the transformation steps

f(x) = e^x

4*f(x) = 4*e^x .... vertical stretch by factor of 4

4*f(x-1) = 4*e^(x-1) ... shift 1 unit right

4*f(x-1)+3 = 4*e^(x-1)+3 ... shift 3 units up

g(x) = 4*e^(x-1)+3

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