Does the given set of ordered pairs fit the definition of a function? Why or why not? {(2,3),(3,3),(4,3),(5,3)}

Answer:

Using the definitions ....

a+2d = -9

a+7d = 26

subtract them:

5d = 35

d = 7 and a = -23

Now you can find any term in the sequence and should be able to answer

c)

Step-by-step explanation:

This scene is an example of dramatic irony used to create suspense since the audience knows that this joyous occasion will ultimately lead to tragedy.

In the scene, Lord Capulet is preparing for his daughter Juliet's wedding to Paris, while the audience knows that Juliet is already secretly married to Romeo. Lord Capulet's excitement and eagerness to prepare for the wedding create suspense and tension for the audience, who knows that this joyous occasion will ultimately lead to tragedy.

Furthermore, the use of music within the scene also adds to the suspense. The audience hears the music, which signifies the arrival of the wedding party, but also knows that this will lead to the revelation of Juliet's secret marriage.

The urgency in Lord Capulet's instructions to the Nurse to wake up Juliet and make haste heightens the tension for the audience, who are aware of the impending disaster.

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Complete Question:

Read the excerpt from Act IV, scene iii of Romeo and Juliet.

Capulet Good faith! this day:

The county will be here with music straight,

For so he said he would. [Music within.] I hear him near.

35

This scene is an example of dramatic irony used to create suspense since the audience knows that

Answer:

1 : 4 : 7

15 : 60 : 105

Step-by-step explanation:

1 + 4 + 7 = 12

180⁰ ÷ 12units = 15⁰

1 unit = 15⁰

4 units = 15⁰ × 4 = 60⁰

7 units = 15⁰ × 7 = 105⁰

Answer:

x²+4² =8²

x²+16 =64

x² =64-16.

x² =48

x. =√48

answer is option D

Answer:

D

Step-by-step explanation:

The segment x is a perpendicular bisector and divides the triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

x² + 4² = 8²

x² + 16 = 64 ( subtract 16 from both sides )

x² = 48 ( take the square root of both sides )

x = \(\sqrt{48}\) → D

Answer:

2

Step-by-step explanation:

3x = x + 4

2x = 4

x = 2

3x = 6

x + 4 = 6

The value of x will be 0.48 which makes the following expression equal.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.

It is given that the expression is, 9.3x = x +4

The value of x is obtained to make the expressions equal.

Apply the arithmetic operation in order to find the value of x.

9.3x = x +4

9.3x-x=4

8.3x=4

x=4/8.3

x=0.48

Thus, the expression below is equivalent since the value of x will be 0.48.

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Answer:

Step-by-step explanation:

hello :

the ratios 2:1 and 18:9 are  equivalent because :

2/1 = (2×9)/(1×9)= 18/9

Yes , the ratios 2 : 1 and 18 : 9 are equivalent

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the first proportion be A = 2 : 1

Let the second proportion be B = 18 : 9

Now , from the proportion formula

a: b::c : d = a/b = c/d

So , substituting the values in the equation , we get

2 : 1 :: 18 : 9

On simplifying the equation , we get

2 / 1 = 18 / 9

Now , the proportion is

2 = 2

Therefore , the equation satisfies and the ratios are equal

Hence , the ratios 2 : 1 and 18 : 9 are equivalent

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The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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Answer:

24

Step-by-step explanation:

\(PT=TQ \\ \\ 4x+8=8x-8 \\ \\ 4x=16 \\ \\ x=4 \\ \\ PT=4(4)+8=24\)

The bullwhip measure for Super Toy Mart can be calculated using the formula Bullwhip measure = Variance of orders / Variance of demand

a)In this case, the variance of orders is given as 12,000 units and the variance of demand is given as 10,000 units. Plugging these values into the formula:

Bullwhip measure = 12,000 units / 10,000 units = 1.2

Therefore, the bullwhip measure for Super Toy Mart is 1.2.

b. The bullwhip effect refers to the amplification of demand variability as we move upstream in the supply chain. A bullwhip measure greater than 1 indicates an amplifying effect, suggesting that the fluctuations in demand are magnified as they propagate upstream.

In this case, since the bullwhip measure is 1.2, it indicates that Super Toy Mart is experiencing an amplifying effect on the supply chain. This means that the demand fluctuations are being magnified as they move from the customer to Super Toy Mart. This can result in inefficiencies such as increased inventory holding costs, stockouts, and production inefficiencies.

Super Toy Mart should focus on reducing the bullwhip effect by improving demand forecasting, communication, and coordination with its suppliers and customers. By reducing the amplification of demand fluctuations, they can achieve a more efficient and responsive supply chain.

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Answer:

one

Step-by-step explanation:

Any point where x = 0 will fall on the y axis. The y values do not matter for this question.

Answer:

1

Step-by-step explanation:

Answer:

-323

Step-by-step explanation:

y varies x

make k the unknown

y=kx

-85= 5k

:• k = -17

when x= 19

we can say...

y= -17(19)

y = -323 ✓

The formula for g(x) is  1.75sin( π/5(x-π/2)) + 3.5.

What is a trigonometric function?

The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions, which are actual functions. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Here, we have

Given: g is a trigonometric function of the form g(x)=a sin (bx+c)+d.  The function intersects its midline at (π/2, 3.5) and has a minimum point at (-π/2, -2).

Given that,

g(x)=a sin (bx+c)+d

We know that Midline is present between the maximum and minimum

Here given that, the minimum is present is -2 and the midline is present at 3.5

So, the Maximum occurs at 1.5.

Now,

We know that,

Standard form of sine function is - g(x) = Asin(B(x-C)) + D

Where

A = Amplitude

and Amplitude = (Maximum - minimum) / 2

= (1.5 + 2)/2 = 1.75

Period = 2π/B

B = 2π/Period

B = 2π/10

B = π/5

Now,

Phase Shift: C = π/2 ( i.e. 1 to the left)

Vertical Shift : D = 3.5

So,

We get

g(x) = 1.75sin( π/5(x-π/2)) + 3.5

Hence, the formula for g(x) is  1.75sin( π/5(x-π/2)) + 3.5.

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After seven days, Holly will have finished reading 140 pages as well, bringing their positions in the book to parity.

Let's say Monisha starts reading the novel first, and Holly starts reading the same novel 14 days later. If Monisha reads 10 pages per day and Holly reads 20 pages per day, then Holly will read twice as many pages as Monisha in the same amount of time. In other words, Holly will catch up to Monisha in terms of pages read after 14 / 2 = 7 days.

So, it will take Holly 7 days to catch up to Monisha in terms of pages read. During this time, Monisha will have read a total of 10 pages per day * 14 days = 10*14= 140 pages. Holly will also have read 140 pages during this time, so they will be at the same point in the novel after 7 days.

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Answer:

Probability of selecting a legislator who favors rising sales tax is 0.63

Step-by-step explanation:

Given

Percentage of legislators that are democrats = 0.35

Percentage of legislators that are Republicans = 0.70

All the democrats favor raise in sales tax , so their probability is 1

and only 40% of the Republicans favor raise in sales tax.

Probability of selecting a legislator who favors rising sales tax is

(0.35*1)+(0.70*0.40)

= 0.63

The vector field is given by `F = ai + bj + ck`and the path C is given by the line from the origin to `(10, 0, 0)`.Therefore, `C = { (t, 0, 0) | 0 ≤ t ≤ 10 }`.Thus the line integral is given by `∫CF.dr`

Let us now calculate `∫CF.dr`.Since the path C is parametrized by `r(t) = ti`, we have that `dr/dt = i`.

Therefore, `F(r(t)) = ai + bj + ck`.Thus `F(r(t)).dr/dt = (ai + bj + ck).i = a`.Therefore, `∫CF.dr = ∫₀¹₀ a dt = a * [t]₀¹₀ = 10a`.From the above calculation, we know that the line integral of vector field F along the path C is `10a`.

In order for this to be positive, we need `a > 0`.

Thus, one condition on the constant a to ensure that the line integral of vector field F along path C will be positive is `a > 0`.Hence, the required condition is `a > 0`.

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Answer:

this was hard my advise is to look it up sorry i couldnt help

Step-by-step explanation:

Answer:

The range is the y-values or the outputs.
From this graph, we can determine that the range is:  [-8 , 0].

(Please look at the picture attached)

Answer: (D) 7

Step-by-step explanation:

(a) The correct null and alternative hypotheses are H0: μ1 - μ2 ≤ 0 and H1: μ1 - μ2 > 0.

(b) The 95% confidence interval estimate of the difference μ1 - μ2 is 4.94 ≤ μ1 - μ2 ≤ 23.06.

(c) The confidence interval in part (b) does not contain 0, which disagrees with the decision in part (a) to not reject the null hypothesis.

(d) Based on the results, the commercial with the celebrity endorser should be chosen to increase the consumption of the brand of potato chips.

(a) In hypothesis testing, the null hypothesis (H0) represents the absence of an effect or difference, while the alternative hypothesis (H1) states the presence of a significant effect or difference. In this case, H0: μ1 - μ2 ≤ 0 suggests that the mean amount of potato chips eaten by children who watched the celebrity-endorsed commercial is less than or equal to the mean amount eaten by children who watched the alternative food snack commercial. Conversely, H1: μ1 - μ2 > 0 suggests that the mean amount of potato chips eaten is significantly higher for children who watched the celebrity-endorsed commercial. Since the test is one-tailed, with α = 0.05, we reject H0 if the test statistic STAT is greater than the critical value. The test statistic is calculated based on the sample means, standard deviations, and sample sizes of the two groups.

(b) To construct a 95% confidence interval estimate of the difference μ1 - μ2, we can use the formula: (x1 - x2) ± t * (\(s1^2\)/n1 + \(s2^2\)/n2\()^0^.^5\), where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes, and t * is the critical value corresponding to a 95% confidence level. The confidence interval is a range within which we expect the true difference between population means to fall with 95% confidence.

(c) The correct answer is A. The confidence interval obtained in part (b) does not contain 0, indicating that there is a significant difference between the mean amounts of potato chips eaten by the two groups. However, in part (a), we failed to reject the null hypothesis, suggesting that the mean amount of potato chips eaten was not significantly higher for children who watched the celebrity-endorsed commercial. This inconsistency can be attributed to the different approaches of hypothesis testing (one-tailed) and constructing a confidence interval (two-tailed).

(d) Based on the results of (a) and (b), if the goal is to increase the consumption of this brand of potato chips, the commercial with the celebrity endorser should be chosen. The evidence suggests that the mean amount of potato chips eaten was significantly higher for children who watched the celebrity-endorsed commercial compared to those who watched the alternative food snack commercial.

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Answer:

Event 2, Event 3, Event 4, Event 1

Step-by-step explanation:

The probability of Event 2 occurring is 0/12(0%) as there are no red marbles in the bag.

The probability of Event 3 occurring is 13/20(65%) as you will get an orange marble from Bag B 13 out of 20 times.

The probability of Event 4 occurring is 9/12(75%) as you will get a yellow marble from Bag A  9 out of 12 times.

The probability of Event 1 occurring is 20/20(100%); therefore you will always get either a yellow or an orange marble from Bag B.

Answer:

\(LCD= 4 (x+4)(x-6)\) or

\(LCD= 4x^2 -8x-96\)

Step-by-step explanation:

Given

2x + 8 and 4x - 24

Required

Determine the least common denominator (LCD)

To calculate the LCD, we need to first get the factor of both expression

\(2x + 8 = 2 * (x + 4)\)

\(4x - 24 = 2 * 2 * (x -6)\)

Next, we list out and multiply the union of the factors; i.e. the combination of all term in each factor

This gives the LCD

\(LCD= 2 * 2 * (x+4) * (x-6)\)

\(LCD = 4 * (x+4)(x-6)\)

\(LCD= 4 (x+4)(x-6)\)

The answer can be left in this form of solved further:

\(LCD= (4x+16)(x-6)\)

\(LCD= 4x^2 -24x + 16x-96\)

\(LCD= 4x^2 -8x-96\)

Thus, we would expect Maggie to consume 0 scoops of ice cream.

To determine how many scoops of ice cream Maggie is expected to consume, we need to find the value of n that maximizes Maggie's total benefit function, TB(n) = 84n - n^2.

Since the price of ice cream is $27.5 per scoop,

we can equate Maggie's total benefit to the cost of the ice cream: 84n - n^2 = 27.5n.

Simplifying the equation, we have: n^2 - 56.5n = 0.

Factoring out an n, we get: n(n - 56.5) = 0.

Therefore, n = 0 or n = 56.5.

However, since n can only be an integer, Maggie cannot consume 56.5 scoops of ice cream.

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Answer:

42

Step-by-step explanation:

1 dozen equals 12 so 12 x 4 would be 42

The probability of rolling an odd number the first time and a number greater than 3 the second time is 1/4

The probability of rolling an odd number on a single die is 3/6 or 1/2, since there are three odd numbers (1, 3, and 5) out of six possible outcomes.

The probability of rolling a number greater than 3 on a single die is 3/6 or 1/2, since there are three numbers greater than 3 (4, 5, and 6) out of six possible outcomes.

To find the probability of both events happening together (rolling an odd number first and a number greater than 3 second), we need to multiply their individual probabilities:

P(odd number first and number > 3 second) = P(odd number first) * P(number > 3 second)

P(odd number first and number > 3 second) = (1/2) * (1/2) = 1/4

Therefore, the probability is 1/4.

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Answer:

Renacimiento es el nombre dado en el siglo XIX a un amplio movimiento cultural que se produjo en Europa Occidental durante los siglos XV y XVI. ... El Renacimiento fue fruto de la difusión de las ideas del humanismo, que determinaron una nueva concepción del hombre y del mundo.

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Answer: The fewest number of inches that can be the length of one of the remaining sides is 2 inches.

Step-by-step explanation:

Let's denote the lengths of the other two sides as x and y, where x is the side we are looking for.

According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side. Therefore, we have:

x + 25 > y and x + y > 25

We also know that the perimeter of the triangle is 80, so:

x + y + 25 = 80

Combining the second and third equations, we get:

x + y > 55

Substituting the third equation into the first inequality, we get:

80 - y > y - 25

Solving for y, we get:

y > 52.5

Since y must be a whole number, the smallest possible value for y is 53. Substituting this value into the equation x + y + 25 = 80, we get:

x + 53 + 25 = 80

Simplifying this equation, we get:

x = 2

Therefore, the fewest number of inches that can be the length of one of the remaining sides is 2 inches.

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Answer:

b = 64°

Step-by-step explanation:

The sum of interior angles of a polygon is 180°(n - 2), where "n" is number of sides.

~~~~~~~~~~

180°(6 - 2) = 720°

114° + (b + 49°) + (2b - 25°) + 142° + (b + 39°) + (3b - 47°) = 720°

7b + (114° + 49° - 25° + 142° + 39° - 47°) = 720°

7b + 272° = 720°

7b = 448°

b = 64°