A business has a budget of $480 to spend on their marketing campaign. Each month, x, the business spends $30 on different advertisements. The amount of money remaining in the budget for marketing can be modeled by the function M(x) = −30x + 480. Based on the graph of the linear function M(x) and the context of the problem, what is the domain?
[0, ∞)
[0, 16)
[0, 480]
ℝ

it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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Answer:

1.2

I checked in the RSM system thing

Answer: For plato users

Plot the numbers on your number line

Firstly plot =52

Secondly plot = 64

Step-by-step explanation:

The amount that is included in the calculation of an employee's regular rate of pay is Reimbursed expenses therefore option B. Reimbursed expenses is correct.

Compensation is defined as the amount of total reward that an employee is given in return for their work.  

It is divided into two categories: direct and indirect compensation.

Direct compensation: Direct compensation refers to the money given to employees in exchange for their work.

The following are some examples of direct compensation: Salary Wages Commission

Indirect  compensation: Indirect compensation refers to non-monetary rewards given to employees as a result of their employment.

Some examples of indirect compensation are: Employer-provided benefits Paid leave Insurance Retirement plans Reimbursement for work-related expenses.

An employee's regular rate of pay refers to the hourly rate that an employee earns based on their work hours. An employer must pay their employees one and a half times their regular rate of pay for all hours worked beyond 40 hours in a workweek.However, not all payments made to an employee are included in the regular rate of pay. Only payments made to employees based on their work hours are included. Reimbursed expenses are an example of a payment that is included in the calculation of an employee's regular rate of pay.

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Answer:

Step-by-step explanation:

5.25 + 17.75x ≤ 165

17.75x ≤ 159.75

x = 9 people (Assuming they all fit in one vehicle)

Wish You the Best in your Studies.

The number of people who can enter in the amusement park is 7.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Several buddies want to visit the theme park. They may only spend a total of $280 for parking and entrance. Tickets cost $33.75 per person, including tax, and parking is $19.50.

Let p be the number of people who can enter in the amusement park. Then the inequality is given as,

33.75p + 19.50 ≤ 280

Simplify the inequality, then the value of p is given as,

33.75p + 19.50 ≤ 280

33.75p ≤ 260.50

p ≤ 7.72

Thus, the number of people who can enter in the amusement park is 7.

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Answer:

TU

Step-by-step explanation:

Answer:

x = 2

y = 1

Step-by-step explanation:

3x - y = 5..............(1)× 1

2x + y = 5...….......(2)× 1

3x - y = 5..............(3)

2x + y = 5.............(4)

Cancel y

3x + 2x = 5 + 5

5x = 10

Divide both sides by 5

x = 2

Substitute for the value of y

3x - y = 5

3(2) - y = 5

6 - y = 5

6 - 5 = y

1 = y

y = 1

Answer:

Unrounded, it would be 19.625, and rounded it would be 19.63

Step-by-step explanation:

Following the formula pi r^2, I came up with this answer. Hope this helps!

a. The system can be rewritten in matrix form as d/dt [x y] = [1 5; 1 -3][x y] b. The eigenvectors are [5 1]T and [-1 1]T for λ1 = -2 and λ2 = 4. c. the solution with initial conditions x(0) = 11 and y(0) = 1 is unstable, as it grows exponentially with time.

a) The system can be rewritten in matrix form as:

d/dt [x y] = [1 5; 1 -3][x y]

where [1 5; 1 -3] is the coefficient matrix and [x y] is the vector of variables.

b) To find the eigenvalues and eigenvectors of A, we need to solve the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue. The characteristic equation is:

(1 - λ)(-3 - λ) - 5 = 0

Solving for λ, we get eigenvalues λ1 = -2 and λ2 = 4. To find the eigenvectors, we solve the equation (A - λI)v = 0 for each eigenvalue, where v is the eigenvector. The eigenvectors are [5 1]T and [-1 1]T for λ1 = -2 and λ2 = 4, respectively.

c) The general solution of the system is:

[x y] = c1[5 1]e^(-2t) + c2[-1 1]e^(4t)

where c1 and c2 are constants determined by the initial conditions.

d) Using the initial conditions x(0) = 11 and y(0) = 1, we can solve for c1 and c2:

c1[5 1] + c2[-1 1] = [11 1]

Solving for c1 and c2, we get c1 = 2 and c2 = 3. Therefore, the particular solution with initial conditions x(0) = 11 and y(0) = 1 is:

[x y] = 2[5 1]e^(-2t) + 3[-1 1]e^(4t)

e) Not all solutions converge to zero. The eigenvalues of A are λ1 = -2 and λ2 = 4, which have opposite signs. This means that the system is unstable and has both stable and unstable solutions. In fact, the solution with initial conditions x(0) = 11 and y(0) = 1 is unstable, as it grows exponentially with time.

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Answer: $32.39

Step-by-step explanation:

The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:

= 1/5 * 15

= 3 gallons

If Ayssa is going to fill up the tank, the number of gallons needed is:

= 15 - 3

= 12 gallons

Gas is $2.699 per gallon so cost is:

= 12 * 2.699

= $32.39

Step-by-step explanation:

a could be 3580 X 1.25^n

b could be 6992.19

dk c

The statement "if the means of two distributions are equal, then the variance must also be equal" is false. While the mean and variance of a distribution are related, they are not always directly proportional to each other.

It is possible for two distributions to have the same mean but different variances. For example, imagine two distributions where one has all of its values clustered tightly around the mean, while the other has a wider range of values spread out more widely from the mean.

In this case, the first distribution would have a lower variance than the second, but both could still have the same mean. In summary, while there may be some cases where equal means correspond with equal variances, this is not always the case.

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Answer:

The answer is B cause all the rest is lower and negatives make the other one wrong so the answer is B hope this helps :)

Answer:

-1.2<6.9 is the statement that's true.

Explanation: - 1.2 is smaller than 6.9

fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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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:

I agree with Cheryl.

24 ÷ 3 = 8

3 ÷ 24 = \(\frac{1}{8}\)

Commutative property works for multiplication because when you multiply two numbers, you have repeated addition. No matter which way you add up the numbers, you will get the same result. When you divide, you are breaking up a certain number by a certain number. If they are not the same number, you will get a different result.

Answer:

125

Step-by-step explanation:

Answer:   I think it's D

Step-by-step explanation: I say the answer is (B) because  in the full question, it's asking how much would 2.5 means, therefore, you're multiplying, to get 125.

If 1cm=50km Then 2.5 is 50km, 50km, 25

50+50+25=125, or simply just multiply. 25 is half of 50, so with the 2.5 there, doesn't make it a whole number, therefore, making the 25 in it's place, because of the 2.5.

Answer:

3:8

Step-by-step explanation:

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The complete question is:

We have 15 voters and four alternatives, and the individual preference lists are as follows:

Voters 1-3: a d b c

Voters 4-5: b d a c

Voters 6-7: c d a b

Voters 8-9: a d c b

Voters 10-11: b d c a

Voters 12-13: c d b a

Voters 14-15: d b a c

1) The plurality voting procedure? - Voters 1-3: a d b c

2) The Condorcet procedure? - Voters 8-9: a d c b

3) The Hare (instant runoff) system? - Voters 4-5: b d a c

4) The Borda count procedure? - Voters 8-9: a d c b

5) Sequential pairwise voting with agenda bdac? - Voters 8-9: a d c b

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Answer:

x = 7

Step-by-step explanation:

You would divide both sides by 4 to then get 28/4 which is equal to 7. Hope this helps! :)

Proof: 4(7) = 28

Answer:

4x7=28

Step-by-step explanation:

4. 7 times equals to 28 then first 7+7=14 7+7=14 then 14+14=28 that's how you get the answer.

Answer:

Step-by-step explanation:

One of the Answers is C

Answer:

Step-by-step explanation:

If you wanted to figure out how long it would take her to get there it would be the distance she swims divided by her speed.

if you wanted to figure out how much her speed is, it would be the distance she swims divided by her speed.

If you wanted to figure out how long the distance is, you would multiply her speed and how long it took to get their.

The expression used by commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5+7 is 7+3.(2.5).

The commutative property or commutative law of mathematics states that while executing mathematical operations, the order of terms is irrelevant.

Only addition and multiplication operations are under the purview of the commutative property. As a result, it means that while adding or multiplying any two integers, we can swap the positions of the numbers. One of the main characteristics of integers is this.

According to the commutative property of multiplication, even if the positions of the two integers are switched around, the result of multiplying two integers will still be the same.

Suppose A and B are two integers;

A × B = B × A

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After calculating and analyzing the given question, the bank officer should be inclined to take a sample of at least 133 under the condition of within $200 (MOE) of the actual average with 99% confidence.

In the event of determining the size sample needed for understanding average total monthly deposits by implementing the formula

n = (z x Σ / E)²

here,

n = sample size,

z = z-score involving  the desired level of confidence,

Σ = population standard deviation,

E = margin of error

Staging the values in the formula

n = (2.576 * 1000 / 200)² = 132.71

≈ 133

After calculating and analyzing the given question, the bank officer should be inclined to take a sample of at least 133 under the condition of within $200 (MOE) of the actual average with 99% confidence.

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If Dmitry is making a recipe that uses 1 pound of wheat flour and 10 ounces of almond flour then he will require total 26 ounces of flour.

Given that Dmitry is making a recipe that uses 1 pound quantity of wheat flour and 10 ounces of almond flour.

We are required to find the total quantity of total flour that Dmitry uses.

Quantity or amount is basically a property that can exist as a multitude or magnitude,

We know that 1 pound is equal to 16 ounces.

Quantity of wheat flour=1 pound

In 1 pound of wheat flour=16 ounces of wheat flour.

Quantity of almond flour=10 ounces

Total requirement of flour=16+10

=26 ounces.

Hence if Dmitry is making a recipe that uses 1 pound of wheat flour and 10 ounces quantity of almond flour then he will require 26 ounces of flour.

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Answer: (i) Interval for proportion of underpaid nurses: 0.15 ± 0.0415.

(ii) Interval for difference in proportion: 0.03 ± 0.0641

Step-by-step explanation: Confidence Interval for a representation of the proportion is calculated by:

\(p_{hat}\) ± z.\(\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }\)

(i) \(p_{hat}\) is the proportion, in this case, of underpaid nurses: \(p_{hat}\) = 0.15

Confidence Interval is 90%, so z = 1.645

The interval is:

0.15 ± 1.645.\(\sqrt{\frac{0.15(0.85)}{200} }\)

0.15 ± 1.645*0.0252

0.15 ± 0.0415

Which means that, in 90% of times, the proportion of underpaid nurses wil be between 0.1085 and 0.1915.

(ii) For the difference in proportions:

\(p_{hat_1}-p_{hat_2}\) ± z.\(\sqrt{\frac{p_{hat_1}(1-p_{hat_1})}{n_{1}}+\frac{p_{hat_2}(1-p_{hat_2})}{n_{2}} }\)

The proportion for the second hospital is \(p_{hat_2}\) = 0.12 and, since it is the same confidence interval, z = 1.645.

Calculating:

(0.15-0.12) ± 1.645.\(\sqrt{\frac{0.15(0.85)}{200} + \frac{0.12(0.88)}{120} }\)

0.03 ± 1.645*0.0389

0.03 ± 0.0641

The 90% confidence interval for the difference in proportions of nurses being underpaid is between 0.0341 and 0.0941

Answer:

they are the same because this is an equilateral so all sides r the same and that proves it because if both sides are the same that means theyre equivalent

Step-by-step explanation:

plz make brainliest this is what i put and i got 100%