You have a coupon for 10% off the sale price of a surfboard. Which is the better buy? Explain your reasoning.
● 40% off the regular price
● 30% off the regular price and then 10% off the sale price
40% of $150 = ___, so the sale price is ___
30% of $150 = ___, so the sale price is ___
10% of that sale price is ___,so after using the coupon, the sale price is ___

Answer:

D(30,60)

Step-by-step explanation:

It was way outside the other points that are around the line.

The point (30,60) is a high leverage point on the regression plot.

High leverage points are those that are extreme but follow the regression equation's trend.

High leverage points are distinct from outliers, which deviate from the graph's or plot's pattern or trend.

Looking closely at the regression plot, the coordinate (30,60) follows the trend of the plot, however, it is farther from the majority of the points on the graph.

Hence, the point (30,60) is a high leverage point on the regression plot.

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Answer:  Part A:  y = x + 6

Part B:  y = 10

The attachment shows the graphs of these equations.

Step-by-step explanation:

Find the slope, and then the y-intercept. Then write the equation in  Slope-intercept form . y= mx+b

m is the slope. b is the constant, the y-intercept.

First find the slope:  rise/run  

Rise is the difference in y-values  10-7 = 3

Run is the difference between x-values  4 - 1 = 3

The Slope is 3/3   simplify:

m = 1

Use this calculated slope with values of y and x from either of the given coordinates and calculate b

y = mx + b

10 = 1(4) + b  The 1 is not necessary, its "implied" and invisible as a factor in multiplication

10 = 4 + b .  subtract 4 from both sides  10 - 4 = 4 - 4  + b

6 = b

Put these calculated values for m and b into the slope-intercept equation"

y = x + 6

_________

Part B: Step-by-step explanation:  Slope-intercept form . y= mx+b

First find the slope:  rise/run  

Rise is the difference in y-values  10 - 10 = 0

At this point you know that if the slope is 0, it is a horizontal line intersecting the y-axis at the y-value, 10

That graphed line will pass through All x-values.

Answer:

Yes, it is

Step-by-step explanation:

I thinking that the answer is B.

A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:

a. Revenue Function:

Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.

The revenue function can be formulated as:

Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)

In equation form:

Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5

b. Constraints:

The constraints for the availability of ingredients can be formulated as follows:

Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280

Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300

Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80

Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250

Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190

Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0

c. Solve the system of linear inequalities using E x c e l Solver:

To solve the system of linear inequalities using E x c e l Solver, follow these steps:

1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:

| | A | B |

|-----|-----------|-----------------|

| 1 | Cakes | Selling Price |

| 2 | Cake 1 | $9 |

| 3 | Cake 2 | $12 |

| 4 | Cake 3 | $4 |

| 5 | Cake 4 | $5 |

| 6 | Cake 5 | $8 |

| | | |

| | | Formula |

| 9 | Milk | 280 |

| 10 | Sugar | 300 |

| 11 | Eggs | 80 |

| 12 | Flour | 250 |

| 13 | Cream | 190 |

2. In cell B16, enter the formula for the revenue:

=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11

3. In cell B18, enter the formula for the milk constraint:

=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6

4. In cell B19, enter the formula for the sugar constraint:

=7×B2 + 4×B3 + 5×B4

5. In cell B20, enter the formula for the egg constraint:

=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6

6. In cell B21, enter the formula for the flour constraint:

=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6

7. In cell B22, enter the formula for the cream constraint:

=4×B2 + 5×B4 + B5 + 3×B6

8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:

=B2

9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:

=B3

=B4

=B5

=B6

10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.

11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).

12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).

13. Click on the "Add" button in the "Subject to the Constraints" section.

14. In the Constraint window, select the range B18:B22 for the constraint cells.

15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.

16. Set the Solver options as desired, and click on the "Solve" button.

E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.

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Answer:

The car depreciates by $5,400 each year (%12 of 45,000)

By the end of the first year, the car will be worth $39,600

Answer:

I don't understand the question sorry

To find the previous population, we need to determine the population before the 27% decrease. Here's how we can calculate it:

Let's assume the previous population is P.

According to the problem, the current population is 7300, which represents 100% - 27% of the previous population:

(100% - 27%) * P = 7300

To simplify the equation, convert 27% to decimal form:

(100% - 0.27) * P = 7300

Simplifying further:

0.73P = 7300

Divide both sides of the equation by 0.73:

P = 7300 / 0.73

P ≈ 10000

Therefore, the previous population was approximately 10,000.

~~~Harsha~~~

Answer:it might be A

Answer:5

Step-by-step explanation:

5098

In coordinate system, the number that is the abscissa of the point ( 8,7 ) is 8.

coordinate geometry:

It establishes a connection between geometry and algebra using curves and line graphs.

A point's x and y coordinates are also referred to as abscissa and ordinate, respectively.

the abscissa is the x–coordinate of any point A(x, y).

so,

abscissa of the point ( 8,7 ) is 8.

In coordinate system, the number that is the abscissa of the point ( 8,7 ) is 8.

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Answer:

First one: y-intercept = 1

ordered pair: (0,1)

Second one: y-intercept = -1

ordered pair: (0,-1)

Third one: y-intercept = 4

ordered pair: (0,4)

Answer:

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

Step-by-step explanation:

The y-intercept is the line crossing the y-axis

(0, number here that cross y-axis)

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Using balanced billing, the monthly payment is $278

Using balanced billing to determine their monthly payment, we simply need to divide their total annual payment by the total number of months in a year. This will result to dividing the entire annual bill by 12 to determine the monthly payment.

Given that the Ross family spent $3,336 for electricity last year, we can calculate their monthly payment as follows:

Monthly payment = Total cost / Number of months

Monthly payment = $3,336 / 12

Monthly payment  = $278

Therefore, the Ross family's monthly payment for balanced billing will be approximately $278.

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Considering that a scatter plot is a linear function, the best choice is an increasing linear function.

A linear function is modeled by:

\(y = mx + b\)

In which:

A scatter-plot is the approximation of a linear function, in this problem with the input being the outside temperature and the output being the number of bathing suits. These measures are direct proportional, as they increase together, hence, the best choice for the scatter-plot is an increasing linear function.

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Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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\(\\ \sf\longmapsto 4\left(\dfrac{7}{8}\right)+7\left(\dfrac{3}{4}+\dfrac{1}{8}\right)-10\)

\(\\ \sf\longmapsto \dfrac{4(7)}{8}+7\left(\dfrac{6+1}{8}\right)-10\)

\(\\ \sf\longmapsto \dfrac{28}{8}+7\times \dfrac{7}{8}-10\)

\(\\ \sf\longmapsto \dfrac{28}{8}+\dfrac{49}{8}-10\)

\(\\ \sf\longmapsto \dfrac{28+49-80}{8}\)

\(\\ \sf\longmapsto \dfrac{78-80}{8}\)

\(\\ \sf\longmapsto \dfrac{-2}{80}\)

\(\\ \sf\longmapsto \dfrac{-1}{40}\)

The sample can be 25% of the workers of the company and 50% of the retirees.

Sampling is the practice of selecting a small group of individuals (a statistical sample) from a statistical population in order to make an educated guess about the characteristics of the full population.

Now of the given options sample can only be selected from the groups that directly affect the president of the company.

Therefore the options will be :

25% of the workers at the company

50% of the retirees from the company

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45456346456546546546

Step-by-step explanation:

A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

The midpoint of a line segment is the point that is exactly halfway between the two endpoints. To find the midpoint of the line segment joining points A(2,-7) and B(2,3), we can use the midpoint formula:

Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]

where (x1, y1) and (x2, y2) are the coordinates of the two endpoints.

Substituting the values for A and B, we get:

Midpoint = [(2 + 2) / 2, (-7 + 3) / 2]

Midpoint = [4 / 2, -4 / 2]

Midpoint = [2, -2]

Therefore, the midpoint of the line segment joining points A and B is (2, -2).

Answer:

  (-2, 1) and (6, 1)

Step-by-step explanation:

The standard form equations for a hyperbola are ...

  \(\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2} = 1 \\\\\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2} = 1\)

The first form opens horizontally; the second opens vertically. Further, the center-focus distance 'c' is given by ...

  \(c^2 = a^2 +b^2 \qquad\text{$c$ = distance from center to focus}\)

The attached figure illustrates the relation between the various parameters and the features of the hyperbola.

__

Using the above information and the information in the first attachment, we find ...

  (h, k) = (2, 1)

  a = 4, b = 2

The vertices are (h±a, k), so are (2±4, 1) = (-2, 1) and (6, 1).

__

The second attachment illustrates the hyperbola and its vertices.

The  best measure of center for the data shown is the median, and its value is 17.

The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:

10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Since the data set has an odd number of values, the median is the middle value, which in this case is 17.

Therefore, the best measure of center for the data shown is the median, and its value is 17.

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The shaded area under the normal curve is determined using the 68 - 95 - 99.7 rule to be 68.27%

The 68 95 99 rule, also known as the empirical rule in statistics, states that given normal distributions,

considering the figure and using the 68 - 95 - 99 rule, the shaded part is the reads 68% of the population and falls under the mean's 1 standard deviation.

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Answer:

Hope the picture will help you

Answer:

it is .925 which is very close to 9/10 so C would be correct

Step-by-step explanation:

Answer:

0.925 so I would pick option C.

Applying the intersecting secants theorem, the length of segment KL is approximately, 45.8.

According to the intersecting secants theorem, if two lines from a point outside a circle intersect the circle, then the product of the length of one line segment and its portion outside the circle is equal to the product of the length of the other line segment and its portion outside the circle.

Using the theorem, we have:

MN * MO = ML * MK

Substitute:

21 * 48 = 22 * KL

1,008 = 22KL

1,008/22 = KL

KL = 45.8 (nearest tenth)

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Answer:

∠EBF = 51°

∠DBE = 17°

∠ABF = 141°

∠EBA = 90°

∠DBC = 107°

∠DBF = 68°

Step-by-step explanation:

Hope this helps

Answer:

1.

a. m<EBF = 90 - 39 = 51

b. m<EBA = 90

c. m<DBE = 90 - 73 = 17

d. m<DBC = 90 + 17 = 107

e. m<ABF = 90 + 51 = 141

f. m<DBF = 17 + 51 = 68

2.

<ABD, <DBE, <EBF, <FBC, <DBF

3.

<ABF, <DBC

4.

<ABE, <EBC

Actual time is much longer than the 50-year timeframe suggested by the speaker.

How to verify the statement?

This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.

To verify this claim, we can use the following formula to calculate the expected total pollution after n years:

Total pollution after n years = \(Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n\)

Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.

We can set the expected total pollution after n years equal to the present pollution level and solve for n:

\(Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n\)

Simplifying this equation, we get:

\(1 = 1.03^n \times 0.2^n\)

Taking the logarithm of both sides of the equation, we get,

\(n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56\)

Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.

It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.

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Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"

Without seeing the graph of the linear function, it is impossible to determine if Tom's answer of 12 is correct or incorrect. However, it is important to understand the concept of slope and how it is calculated for a linear function.

The slope of a linear function represents the rate at which the y-coordinate changes for each unit increase in the x-coordinate. In other words, it measures the steepness of the line. Mathematically, the slope of a line is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line.

To calculate the slope of a line given its graph, one can choose any two points on the line and find the difference in their y-coordinates and x-coordinates. The slope is then the ratio of the change in y-coordinates to the change in x-coordinates. This can be expressed as:

slope = (change in y-coordinate) / (change in x-coordinate)

Now, if Tom has correctly identified two points on the line and calculated the difference in their y-coordinates and x-coordinates, and if he has obtained a ratio of 12 for the change in y-coordinate to the change in x-coordinate, then his answer of 12 for the slope would be correct.

However, it is also possible that Tom made an error in his calculation, or that he misread the graph, and obtained an incorrect answer. Therefore, it would be necessary to verify his calculations by checking the points he used and the formula he applied.

In conclusion, without further information about the graph of the linear function and the points chosen by Tom to calculate the slope, it is impossible to determine if his answer of 12 is correct or incorrect.

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