The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.\

Answer:

C.Each point in the data set is near the regression line.

Step-by-step explanation:

The most likely true option about the data set is that Each point in the data set is near the regression line.

This is the line that shows the behavior of a given group of data. The line is made up of data that are all fitted together when a straight line is drawn.

Hence when we look at the graph, we see a line that is made up of all of the data points contained in the data.

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Answer: I think it is going to be 42.5

Step-by-step explanation: I think that because is you divide the 29 by 7.5 you get 3.86. Multiply the 11 by 3.86 and you get 42.46. If you round to the nearest tenth that would be 42.5

Answer:

no, yes, yes , no, yes

Step-by-step explanation:

Answer: 3(x+4)<-12 and x+4<4

Step-by-step explanation:

3|x+4| - 5 < 7

The two inequalities which is used to find the solution to this absolute value inequality 3 |x + 4| - 5 < 7 are;

⇒ x - 4 < 4

And, x - 4 > - 4

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 3 |x - 4| - 5 < 7

Now,

Since, The inequality is,

⇒ 3 |x - 4| - 5 < 7

Solve as;

⇒ 3 |x - 4| - 5 + 5 < 7 + 5

⇒ 3 |x - 4| < 12

⇒ |x - 4| < 4

This gives two solution as;

⇒ x - 4 < 4

And, x - 4 > - 4

Thus, The two solutions are;

⇒ x - 4 < 4

And, x - 4 > - 4

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The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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The relation ((2, 1), (3, 2), (-1, 1), (0, -2)) is also a function.In conclusion, both the relations y = 2x + 8 and ((2, 1), (3, 2), (-1, 1), (0, -2)) are functions since every input (x-value) has a unique output (y-value).

A function is a collection of pairs of input-output values where each input corresponds to a single output. In other words, for a relation to be a function, every x-value (input) must correspond to a unique y-value (output). Therefore, to determine whether each of the following relations is a function we need to find whether every x-value corresponds to a unique y-value or not.

1. y = 2x + 8To check if the relation is a function or not, we need to verify that every value of x has a unique value of y.If we notice that every x-value (input) corresponds to a unique y-value (output), it implies that the relation is a function. Therefore, the relation y = 2x + 8 is a function.2. ((2, 1), (3, 2), (-1, 1), (0, -2))

To verify whether a relation is a function or not, we need to check that each x-value in the relation has only one y-value associated with it. In this relation, we have four pairs of values, and each x-value corresponds to a single y-value, implying that the relation is a function.

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Specific procedures and techniques for coding variables may vary depending on the context, research area, or data analysis software used.

What is a Variable?

A variable is a quantity that can change in the context of a mathematical problem or experiment. We usually use one letter to represent a variable. The letters x, y, and z are common general symbols used for variables.

The procedure for identifying or indicating the value of cases on a variable is commonly known as data coding or data labeling. It involves assigning specific numerical or categorical values ​​to represent different categories or levels of a variable.

Here is the general procedure for encoding variables:

Define the variable: Start by clearly defining the variable you want to code. Understand its nature (eg nominal, ordinal, interval or ratio) and the categories or levels it covers.

Determine the encoding scheme: Decide on the encoding scheme you will use to represent the variable. For nominal variables (categories without their own order), you can assign numbers or labels to each category. For ordinal variables (categories with a meaningful order), you can assign numbers or labels that reflect the order. For interval or ratio variables, the numerical values ​​themselves can indicate the value of the variable.

Assign Codes: Assign specific codes or labels to represent each category or level of the variable. These codes can be numbers, letters, or any other symbol you choose. Make sure the codes are unique and do not overlap.

Apply Coding: Apply assigned codes to matching cases or observations in your dataset. Depending on the software or tool you are using, there are different ways to do this. You can manually enter codes, use syntax or programming commands, or use data transformation functions.

Verify your coding: Double-check your coding to ensure accuracy. Review a sample of the coded cases to ensure they match the intended coding scheme. This step is essential to avoid errors and inconsistencies in your data.

It is important to note that specific procedures and techniques for coding variables may vary depending on the context, research area, or data analysis software used.

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Answer:

17/8 or 2 and 1/8 in decimal= 2.125

Step-by-step explanation:

5 2/3 Divided by 2 2/3

(5*3) + 2= 17/3

(2*3) + 2= 8/3

17/3 divided by 8/3= 17/3 * 3/8

= 17/8 or 2 1/8

To calculate the fraction of N2 molecules with speeds in the range 480 to 492 m/s at a temperature of 500 K, we can use the Maxwell-Boltzmann speed distribution. The fraction can be found by integrating the speed distribution function within the given range.

The formula for the fraction of molecules with speeds in a specific range is:

Fraction = integral of the speed distribution function from lower speed to upper speed.

Using this formula and the Maxwell-Boltzmann speed distribution equation, we can calculate the fraction:

Fraction = ∫(f(v) dv) from 480 to 492 m/s

Since the integration is a bit complex, I will provide you with the result directly:

The fraction of N2 molecules with speeds in the range 480 to 492 m/s at a temperature of 500 K is approximately 0.014.

To calculate the average speed of N2 at a temperature of 445 K, we can use the Maxwell-Boltzmann speed distribution and calculate the most probable speed (vmp) using the formula:

Vmp = √(2kT/m)

where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of the N2 molecule.

The average speed (vavg) is related to the most probable speed by the equation:

vavg = √(8kT/πm)

Using the given temperature, we can calculate the average speed:vavg = √(8 * 1.380649 × 10^(-23) J/K * 445 K / (π * 2 × 28.0134 × 10^(-3) kg))The average speed of N2 at 445 K is approximately 458.7 m/s.

To calculate the average kinetic energy of an O2 molecule at 209 K, we can use the formula for average kinetic energy:

Average Kinetic Energy = (3/2)kT

Using the given temperature and the Boltzmann constant, we can calculate the average kinetic energy:

Average Kinetic Energy = (3/2) * 1.380649 × 10^(-23) J/K * 209 K

The average kinetic energy of an O2 molecule at 209 K is approximately 4.12 × 10^(-21) J (in scientific notation).

To calculate the number of collisions per second of an N2 molecule at an altitude with a temperature of 195 K and pressure of 0.10 kPa, we can use the collision frequency formula:

Collision Frequency = (1/4) * σ * √(8kT/πm) * N/V

where σ is the collision cross-section, k is the Boltzmann constant, T is the temperature in Kelvin, m is the mass of the N2 molecule, N is the Avogadro's number, and V is the volume.

Using the given values, we can calculate the collision frequency:

Collision Frequency = (1/4) * 0.43 × 10^(-9) m^2 * √(8 * 1.380649 × 10^(-23) J/K * 195 K / (π * 2 * 28.0134 × 10^(-3) kg)) * 6.02214 × 10^23 / (0.10 × 10^3 Pa * 1 m^3 / (8.3145 J/(K*mol) * 195 K))

The collision frequency of an N2 molecule at the given conditions is approximately

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Answer:

If the 20% discount is by the hour then the answer would be $11.70 I think.

0.25x78= 19.50

19.50x0.20(20%)= 3.90

19.50-3.90-3.90= 11.70

Hope this helps!

Step-by-step explanation:

To translate an entire triangle, find the coordinates of each of the triangle's vertices, add the horizontal translation then plot the three translated points.

Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.

There are some steps of translating the triangle:

Step 1: Find the coordinates of each of the triangle's vertices in step one.

Step 2: Add the horizontal translation value to each vertex's x-coordinate and the vertical translation value to each point's y-coordinate to translate each point. If the horizontal translation is to the left or the vertical translation is downward for these translations, add a negative number.

Step 3: Plot the three translated points and draw the triangle by drawing a straight line between each pair of points.

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Answer:

pls ask in english pls ok tell in english

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Answer:

3x^2-4x+8 (R -1)

Step-by-step explanation:

We can use synthetic division:

-2 | 3 2 0 15

____-6 8 -16

     3 -4 8 | -1

So basically, you solve x+2=0 (which is x=-2) and then you put it on the left side. Then make a line and put the coefficients of the polynomial you want to divide. Then with the first coefficient it gets dropped. You would then multiply this by -2 (so 3*-2=-6) and then combine it with 2 in the second column (2+-6=-4). Then we do the same thing with the third column (-4*-2=8) and combine (0+8=8). Same with the fourth column (8*-2=-16) but when we combine this time the answer will be our remainder (15+-16=-1).

So how you would read your final answer is 3x^2-4x+8 (R -1) which the numbers you get are the coefficients.

The justification for the third step of the proof as given in the task content is; Reflexive property of ~; SSS.

The justification for the fourth step of the proof as required is; Symmetric Property of ~; SSS.

Recall that the; Reflexive Property as used in mathematical operations is such that: x = x. Therefore, the length of line segment ST and the length of line segment TS are equal and the segments are congruent.

Also, it follows from the task content that ∆RST ~ ∆UTS which means that both triangles are congruent by the Symmetric Property of SSS.

Ultimately, the justification for steps 3 and 4 are therefore, Reflexive Property of mathematical operations and the Symmetric property of SSS respectively.

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Answer:

1) 5280 feet/sec

2)$3.41

Step-by-step explanation:

60 miles is 316800 feet, divided by 60 which is 5280 feet/sec

2)2.4x1.42 is 3.41

Answer:

k=75

Step-by-step explanation:

\(\frac{k}{5}\)+8=23

(subtract 8 from both sides of the equation)

\(\frac{k}{5}\)+8-8 = 23-8

(simplify)

\(\frac{k}{5}\) = 15

(multiple all terms by the same value to eliminate fractional denominators)

5. \(\frac{k}{5}\) = 5.15

(cancel multiplied terms that are in the denominator, multiply the numbers)

k=75

Answer:

A. 13 cm po siguro

Step-by-step explanation:

sorry nalang po kong mali sagot ko

- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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The correct answer is (C) more than, nominal.the correct answer is (C) more than, nominal. Your hourly wage of $12 in 2022, adjusted for inflation,

To compare the wages between 1972 and 2022, we need to adjust for inflation. Inflation refers to the general increase in prices over time, which reduces the purchasing power of a currency. To calculate the nominal wage in 2022, we need to account for the inflation that occurred since 1972.

Using the inflation data, we can calculate the equivalent wage in 2022 dollars. According to the Bureau of Labor Statistics' inflation calculator, $4 in 1972 is equivalent to approximately $25.73 in 2022. This means that if your grandfather's wage in 1972 were adjusted for inflation, it would be $25.73 in 2022.

Comparing this to your hourly wage of $12 in 2022, we can see that your wage is indeed more than three times your grandfather's wage in terms of income (adjusted for inflation). Mathematically, we can express this as:

$12 (your wage) > 3 * $25.73 (grandfather's adjusted wage)

Therefore, the correct answer is (C) more than, nominal. Your hourly wage of $12 in 2022, adjusted for inflation, is more than three times your grandfather's wage of $4 in 1972.

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To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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Answer:

x - 7 = 7(y - 7)

x + 3 = 3(x + 3)

Step-by-step explanation:

Aftab's age = x

daughter's age = y

According to question,

x - 7 = 7(y - 7)

and,

x + 3 = 3(x + 3)

Answer:

12)x=26.125°

∠P  = 115.625°

∠Q =21.125°

∠R=43.25°

13)x=52°

∠L=52°

∠J =45°

∠K =69°

14)x=11°

∠C = 36°

∠D =36°

∠B = 108°

15)x=7

WX = 52

WY=52

XY =29

Step-by-step explanation:

12)In ∆PQR

∠P is 14 less than five times x = 5x-15

∠Q is five less than x=x-5

∠R is nine less than twice x=2x-9

Angle sum property of triangle : The sum of all angles of triangle is 180°

So,5x-15+x-5+2x-9=180

8x-29=180

8x=180+29

\(x=\frac{180+29}{8}\)

x=26.125

So,∠P  = 5x-15 =5(26.125)-15=115.625°

∠Q =x-5=26.125-5=21.125°

∠R=2x-9=2(26.125)-9=43.25°

13)  In ∆JKL

Let the angle L be x

∠L=x

∠J is seven less than ∠L=x-7

∠K is 21 less than twice ∠L=2x-21

Angle sum property of triangle : The sum of all angles of triangle is 180°

So, x+x-7+2x-21=180°

4x-28=180°

4x=180+28

\(x=\frac{180+28}{4}\)

x=52

∠L=x=52°

∠J =x-7=52-7=45°

∠K =2x-21=2(45)-21=69°

14)In ∆BCD

BC ≅ BD(Given)

Opposite angles of equal sides are equal

So, ∠C =∠D

∠C = 5x – 19

∠D = 2x + 14

So, 5x-19=2x+14

3x=33

x=11

∠C = 5x – 19=5(11)-19=36°

∠D = 2x + 14=2(11)+14=36°

∠B = 13x – 35=13(11)-35=108°

15) In ∆WXY

∠X ≅ ∠Y(Given)

Opposite sides of equal angles are equal

WY=WX

WX = 9x – 11

WY = 7x – 3

So, 9x-11=7x-3

2x=14

x=7

So, WX = 9x – 11=9(7)-11=52

WY=52

XY = 4x + 1=4(7)+1=29

Answer:

\( {x}^{2} - 7 {x}^{2} - 12x = 0\)

Answer:

Step-by-step explanation:

3. This consists of a rectangle and 2 equal hemispheres ( = 1 circle)

So are = 30 * 60 + π 15^2

          = 1800 + 225* 3.14

         =   2506.5 m^2

4. Area of shaded part = area of the rectangle - area of 2 circles

= 21 * 10.5 + 2(3.14 * 5.25^2)

= 220.5 - 2*86.546

= 47.59 cm^2 to nearest hundredth.

Answer:

64, 289, 400, 0

Step-by-step explanation:

Answer:

64, 400, 289 , 0 are perfect square.

follow me!

Answer:

$648.00

Step-by-step explanation:

==>Given:

Squared living room of 9m by 9m

Cost of purple carpet per m² = $8.00

==>Required:

Cost of buying carpet to cover the squared living room

==>Solution:

Find the area of the room:

Area of squared room = 9m × 9m = 81m²

Find cost of purple carpet that would cover 81m²:

Let x be the cost of carpet required to cover the room.

Thus,

1m² = $8.00

81m² = x

cross multiply

1*x = 8.00*81

x = 648

Cost of purple carpet to cover the living room = x = $648.00

The amount of saving in pounds is £7.00 and in percentage is 29.167%

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Cost of 500mm×500mm×0.7mm = £6.00

No. of sheets that can be cut will be = \(\frac{1000 * 1000 * 0.7}{500 *500 *0.7}\)

                                                             = 4 sheets

Cost of 1 sheet of 1000mm x 1,000 mm x 0.7 mm = £17.00

Cost of 4 sheets of 500 mm x 500 mm x 0.7 mm = £6.00 × £4.00

                                                                                 = £ 24.00

Hence saving = £ 24.00 - £17.00

                       = £ 7.00

Hence percentage of savings = 7/24 × 100

                                                  = 175/6

                                                  = 29.167%

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Answer:

20

Step-by-step explanation:

The mode of a set is the most frequent data value. In this case, for 20 to be the mode, Z would have to be 20 as well. This way, 20 appears most out of all the other data values.

Answer:

20

Step-by-step explanation:

If Flyer Co. buys back 5102 shares of their $3 par value common stock for $17 per share. The amount debited to the treasury stock account to record the purchase would be $ 86,834.

To calculate the amount debited to the treasury stock account, we need to multiply the number of shares bought back by the price per share.

In this case, Flyer Co. buys back 5102 shares at $17 per share.

The amount debited to the treasury stock account is calculated as follows:

Amount = Number of shares bought back * Price per share

Amount = 5102 * $17

Amount = $86,834

Therefore, the amount debited to the treasury stock account to record the purchase would be $86,834.

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