For the system of equations y = 2x + 13 and y = 2x – 5, will the two lines ever intersect? Why or
why not

You would need to buy 4 packs of burgers to have an equal number of burgers and buns for your BBQ.

To have an equal number of burgers and buns for your BBQ, you need to find the least common multiple (LCM) of the pack sizes for burgers and buns, which are 6 and 8, respectively.

The LCM of 6 and 8 is 24. This means that you would need a total of 24 burgers and 24 buns to have an equal number of each.

Since each pack of burgers contains 6 burgers, the number of packs of burgers you would need to buy is:

24 burgers / 6 burgers per pack = 4 packs of burgers

Therefore, you would need to buy 4 packs of burgers to have an equal number of burgers and buns for your BBQ.

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Simplified form of the expression 8 ( 3 + 4 ) using the Distributive Property of Multiplication over Addition is 56

To apply the Distributive Property of Multiplication over Addition, you need to multiply the number outside the parentheses by each term inside the parentheses and then add the products together.

In this case, the number outside the parentheses is 8, and the terms inside the parentheses are 3 and 4. So, you can apply the distributive property as follows:

8 ( 3 + 4 ) = 8 × 3 + 8 × 4

Multiply the numbers

= 24 + 32

Add the numbers

= 56

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Answer:

800

Hope this helps!

Answer:

By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM

Step-by-step explanation:

By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM

This means m∠NQL + m∠QNM = 180

80 +  m∠QNM = 180

m∠QNM = 180 - 80 = 100

By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM

which theorem is used in this parallelogram?

By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM

This means m∠NQL + m∠QNM = 180

80 +  m∠QNM = 180

m∠QNM = 180 - 80 = 100

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Answer:

18 tsp of cocoa

Step-by-step explanation:

3 tsp : 1 cup

? tsp : 6 cups

6 / 1 = 6

3 x 6 = 18

The down payment is 400, the monthly payment is 65 and the length of the plan is 7 months. An arithmetic sequence is a sequence of numbers such that the difference between any two consecutive numbers is constant.

Arithmetic refers to the branch of mathematics that deals with numbers and the basic operations of addition, subtraction, multiplication, and division. An arithmetic sequence is a specific type of mathematical pattern where each term is obtained by adding a constant value to the previous term.

Here is the way to determine the monthly payment:

(1,060 - 400) / 7 = (660) / 7 = 65

As you can see the down payment is 400 and the last value in the sequence is 1060, so the total amount of the plan is 1060.

Also, the difference between any two consecutive terms is 110, as we can see that from the sequence:

510 - 400 = 110

620 - 510 = 110

730 - 620 = 110

840 - 730 = 110

950 - 840 = 110

1060 - 950 = 110

So the length of the plan is 7 months as the sequence contains 7 terms.

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Answer:

Step-by-step explanation:

The world parlance represents jargon/terms used by a particular profession or by a group of related experts in a field.

In french parler, means "to speak, hence the word parlance has it root from the french word parler.

it is a noun and it often called a slang or a jargon.

for example in law, lawyers use world/terms like, plaintiff, witness, suspect, jury, etc

The terminology that is specific to a particular profession or group is called; Jargons

We are given examples such as;

T-tests, chi-square tests, confidence intervals being used exclusively by statisticians.

Now, these terms used exclusively by statisticians have a general term they are called which is Jargons.

In conclusion, Jargons is the general name for words or expressions that are used exclusively by a group that are not easy for others to understand.

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Answer:

4000 millilitres

Step-by-step explanation:

She brought 32 L of water to the football game and divided the water equally between 8 coolers.

Therefore, cooler will have:

32 / 8 = 4 L

1 litre = 1000 millilitres

4 litres = 4 * 1000 = 4000 millilitres

Each cooler will have 4000 millilitres.

Answer:

3060

Step-by-step explanation:

Formula is length times width times height.

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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Answer:86

Step-by-step explanation:

First, you add 102 and 86 because they are already given values

Next, you do 360-188 because a parallelogram always equals to 360 degrees

You should get 172

Then you do 172/2 because 2 angles are missing and you get 86

To determine the height of the nearby tower, we can use a proportional relationship between the lengths of the shadows and the heights of the objects.

Let's set up the proportion using the given information:

Height of pole / Length of pole's shadow = Height of tower / Length of tower's shadow

Plugging in the values:

2.6m / 1.76m = Height of tower / 49.75m

To find the height of the tower, we can cross-multiply and solve for it:

Height of tower = (2.6m / 1.76m) * 49.75m

Calculating the result:

Height of tower ≈ 73.958m

In summary, the nearby tower is approximately 74 meters tall.

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The correct answer for the given convolution is (d) 2f(t-9).

To evaluate the convolution f(t)δ(t−9)+f(t)δ(t+9), let's break it down step by step.

First, let's consider the convolution of f(t) with δ(t-9):

f(t)δ(t-9) = ∫[f(τ)δ(t-9-τ)]dτ

The integral evaluates to f(t-9) because the Dirac delta function δ(t-9) picks out the value of f(τ) at τ = t - 9.

Therefore, the first term simplifies to f(t-9).

Now, let's consider the convolution of f(t) with δ(t+9):

f(t)δ(t+9) = ∫[f(τ)δ(t+9-τ)]dτ

The integral evaluates to f(t+9) because the Dirac delta function δ(t+9) picks out the value of f(τ) at τ = -t - 9.

Therefore, the second term simplifies to f(t+9).

Now, we can combine the two terms:

f(t-9) + f(t+9)

Next, let's consider the Fourier Transform (FT) of f(t), denoted as F(ω).

The Fourier Transform of f(t-9) is F(ω) * \(e^{(-j\omega9)\), where * represents the convolution and j is the imaginary unit.

Similarly, the Fourier Transform of f(t+9) is F(ω) * \(e^{(-j\omega9)\).

Therefore, the overall expression becomes:

F(ω) * \(e^{(-j\omega9)\) + F(ω) * \(e^{(-j\omega9)\)

Factoring out F(ω), we get:

F(ω) *  \(e^{(-j\omega9)\) + \(e^{(-j\omega9)\)

Now, simplifying the exponential terms:

\(e^{(-j\omega9)\) +  \(e^{(-j\omega9)\) = 2 * cos(ω9)

Finally, substituting it back into the expression:

F(ω) * 2 * cos(ω9)

Therefore, the correct answer is (d) 2f(t-9).

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The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

The correlation coefficient's sign will not change when the order of the variables in a correlation study is changed, but the coefficient's numerical value might. This is due to the symmetry of the correlation coefficient with regard to the two variables under comparison.

For instance, if you calculate the correlation coefficient between X and Y and the result is r = 0.7, it indicates that Y tends to rise as X does. The correlation coefficient between the variables Y and X will have the same sign (+ or -) but a different numerical value if the variables are computed in a different order.

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The intervals on which function f(x) = sin x -1 increasing or decreasing is (0, π/2) (B).



The given function is f(x) = sin x -1, 0 < x < 2 π.

A sinusoidal function is a function that can be written in the form f(x) = a sin(bx + c) + d or f(x) = a cos(bx + c) + d, where a, b, c, and d are constants.

The graph of the given function is a sine curve shifted downward by 1 unit.

The function is increasing on the interval (0, π/2) because the slope of the curve is positive on this interval.

The function is decreasing on the interval (π/2, 3π/2) because the slope of the curve is negative on this interval.

The function is increasing again on the interval (3π/2, 2π) because the slope of the curve is positive on this interval.

Therefore, the correct answer is option B. (0, π/2).

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True. In game theory and decision theory, the Hurwicz criterion is a decision-making rule between the minimax and maximin criteria.

The Hurwicz criterion is a hybrid of the minimax and maximin criterion. The minimax criterion is concerned with minimising the most potential loss, whereas the maximin criterion is concerned with maximising the least possible gain. The Hurwicz criterion is expressed as a weighted average of the greatest and worst outcomes:

Decision value = α(best payoff) + (1-α)(worst payoff)

where alpha is coefficient representing the decision-maker's optimism or pessimism. The Hurwicz criterion provides a more versatile decision-making tool than the minimax or maximin criteria alone, allowing for a balance between risk-taking and risk-aversion.

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The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.

Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.

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Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

\(6.5 - 4.9 = 2.4 \\\\\frac{2.4}{1.2} = 2 \\\\\sigma \ \ so \ k = 2\)

For point b:

\(\frac{3}{1.2}\ \ \sigma\ \ so \ k =\frac{3}{1.2} \ \ so\ \ 1- \frac{1}{k ^2} = 0.84\)

For point c:

Once again, we have k = 2 though with Chebyshev discrepancy of witness numbers in the same number of standard deviations off mean = at least 75 percent.

Answer:

Step-by-step explanation:

(4x²+15x²)-(-2x²)=19x²+2x²=21x²

Answer:

\(21x^{2}\)

Step-by-step explanation:

\(4x^{2} +15x^{2} --2x^{2}\)

\(4x^{2} +15x^{2} +2x^{2}\)...........2 negatives signs next to each make a positive

\(21x^{2}\).................................combine like terms

Answer:

True

Step-by-step explanation:

opposite is irrational number

Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

Answer:

Step-by-step explanation:

2(4) - 4y = 20

8 - 4y = 20

-4y = 12

y = -3

x = 4

(4, -3)

The solution of the system of equation will be;

⇒ y = - 3, x = 4

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The system of equation are,

⇒ 2x - 4y = 20

⇒ X = 4

Now,

Since, The system of equation are,

⇒ 2x - 4y = 20     ...(i)

⇒ X = 4               .....(ii)

Substitute x = 4 in equation (i), we get;

⇒ 2x - 4y = 20

⇒ 2 × 4 - 4y = 20

⇒ 8 - 4y = 20

⇒ 8 - 20 = 4y

⇒ 4y = - 12

⇒ y = - 3

Thus, The solution of the system of equation will be;

⇒ y = - 3, x = 4

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3.25 • 5 + 2.50 • 3 + 2 • 3 = x

16.25 + 7.50 + 6 = x

29.75 = how much they spent all-together