Which table of values represents a function? Step by step.

Answer:El pintor debe pintar un muro de módulo de vigilancia, que es un pentágono regular, por tanto, procedemos a buscar cuántos metros debe pintar: P = 5·L 35 m = 5·L L = 35 m / 5 L = 7 m En consecuencia, al pintar un muro, el trabajador pintará 7 m.

Step-by-step explanation:

El trabajador pintará 7 metros de muro, ya que esa es la longitud de cada lado del pentágono regular cuyo perímetro es de 35 metros.

Un pentágono regular es una figura con cinco lados iguales. Si su perímetro total es de 35 metros, entonces cada lado del pentágono mide 35 metros dividido entre 5, que resulta igual a 7 metros. Entonces, si el trabajador debe pintar uno de los muros del pentágono regular, la cantidad de metros lineales a pintar será igual a la longitud de uno de sus lados. Por lo tanto, el trabajador pintará 7 metros de muro.

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The missing value in the table is 64 miles.The correct answer is option C.

To determine the missing value in the table, we can observe the pattern in the given data. Looking at the time values, we can see that they are increasing by a constant interval of 2 hours: 2, 4, 6, 8, 10. The corresponding distances traveled are 16, 32, 48, ?, 80.

By examining the distances, we can see that they are increasing by a constant interval of 16 miles. The first distance is 16 miles when the time is 2 hours, and it increases by 16 miles for every 2-hour increment.

To find the missing value, we need to determine the distance traveled at 8 hours. Since the interval is 16 miles for every 2 hours, the distance traveled at 8 hours can be calculated by multiplying the interval by the number of 2-hour increments from the first data point: 16 miles * (8 hours / 2 hours) = 16 miles * 4 = 64 miles.

Therefore, the missing value in the table is 64 miles, which corresponds to option C.

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The probable question may be:

The table shows how the distance traveled by a dogsled is changing over time.

Time (in hours) :- 2,4,6,8,10.

Distance Traveled (In miles) :- 16,32,48,?,80.

What value is missing from the table?

A. 50.

B. 68.

C. 64.

D. 60.

The given sequence can be generated by multiplying each term by 2, starting from the initial term of 6.

The pattern that fits the given sequence 6, 12, 24, 48, 96, ... is that each term is 2 times the previous term.

In the sequence 6, 12, 24, 48, 96, ... there are multiple possible patterns, each resulting from a different rule applied to generate the next term. Let's examine each of the proposed patterns:

Each term is 6 more than the previous term:

Starting with 6, if we add 6 to each term, we get:

6 + 6 = 12

12 + 6 = 18

18 + 6 = 24

24 + 6 = 30

30 + 6 = 36

...

This pattern does not match the given sequence since it does not produce the subsequent terms.

Each term is 12 more than the previous term:

Starting with 6, if we add 12 to each term, we get:

6 + 12 = 18

18 + 12 = 30

30 + 12 = 42

42 + 12 = 54

54 + 12 = 66

...

This pattern also does not match the given sequence.

Each term is 1/2 the previous term:

Starting with 6, if we multiply each term by 1/2, we get:

6 [tex]\times[/tex] 1/2 = 3

3 [tex]\times[/tex] 1/2 = 1.5

1.5 [tex]\times[/tex] 1/2 = 0.75

0.75 [tex]\times[/tex] 1/2 = 0.375

0.375 [tex]\times[/tex] 1/2 = 0.1875

...

This pattern does not match the given sequence.

Each term is 2 times the previous term:

Starting with 6, if we multiply each term by 2, we get:

6 [tex]\times[/tex] 2 = 12

12 [tex]\times[/tex] 2 = 24

24 [tex]\times[/tex]2 = 48

48 [tex]\times[/tex]2 = 96

96 [tex]\times[/tex]2 = 192

This pattern perfectly matches the given sequence. Each term is indeed 2 times the previous term, resulting in the next term.

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According to the Committee for the Study of the American Electorate, the four states with lower voter turnout in the 2004 presidential election compared to the 2000 election were Arkansas, Hawaii, Maryland, and Tennessee.

In the 2004 presidential election, voter turnout increased in most states compared to the 2000 election. However, Arkansas, Hawaii, Maryland, and Tennessee experienced a decrease in voter participation. This means that fewer eligible voters in these states cast their ballots in the 2004 election compared to the previous one.

The reasons behind the lower voter turnout in these states could vary and might be influenced by factors such as changes in voter registration laws, campaign strategies, voter demographics, or the overall political climate in each state during that particular election cycle.

It is worth noting that while voter turnout increased in most states, overall voter participation in the United States has been historically lower compared to some other democracies.

Efforts to increase voter engagement and turnout, such as expanding access to voting and improving voter education, continue to be important in ensuring that more eligible citizens exercise their right to vote and have their voices heard in the democratic process.

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Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

The correct answer is option (e): None of these answers is correct.

The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.

The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.

Answer:

F(5)= -1

if 5 is the value on the x axis it corresponds to -1 on the y axis

The calculated value of x in the triangle is 40°

From the question, we have the following parameters that can be used in our computation:

The figure (see attachment)

Using the theorem of linear pair, we have

∠DBA + ∠ABC = 180°

Using the given values, we have

∠100° + ∠ABC = 180°

Collect the like terms

∠ABC = 180° - 100°

Evaluate

∠ABC = 80°

The sum of angles of a triangle is 180° .

So, in triangle ABC

∠A + ∠B + ∠C = 180°

Using the given values, we have

x + 80 + 60 = 180°

Evaluate the sum

x + 140 = 180°

Collect the like terms

x = 180° - 140°

Evaluate

x = 40°

Hence, the value of x is 40°

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Answer:

∠1 = 100

∠2 = 110

Step-by-step explanation:

∠1  + 80 = 180(angles on a straight line add to 180)

∠1 = 180 - 80

∠1 = 100

∠2 = 110 (vertically opposite angles are equal)

In the context of a Cartesian coordinate system, the term "(-,-) quadrant" refers to the third quadrant, also known as Quadrant III.

The Cartesian coordinate system consists of four quadrants, numbered from I to IV in a counterclockwise direction. Each quadrant is defined by the signs of the x and y coordinates.

In Quadrant III, the x-coordinates are negative (represented by the "-") and the y-coordinates are also negative. This means that any point located in this quadrant will have both x and y values that are less than zero.

Visually, Quadrant III is situated below the x-axis and to the left of the y-axis. It is characterized by its lower left position in the coordinate plane.

Points in Quadrant III can be thought of as having a negative horizontal position (to the left of the origin) and a negative vertical position (below the origin).

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Answer:

880g of flour

Step-by-step explanation:

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

The ratio the baker uses (strawberries: flour) is:

Adding the two of these together gives us:

This means that for 1 batch of cakes, 260g of flour and strawberries is needed in total.

Now that we know that, we can take 1040g and divide that by 260g.

1040g ÷ 260g = 4

This means that the baker made 4 batches of cakes using 1040g total.

Taking the amount of flour and multiplying that by 4 to get the amount of flour used:

220g × 4 = 880g

Therefore the baker uses 880g of flour for every 1040g total.

Answer:

[tex]x = \frac{3\pi}{64} +\frac{9}{16}[/tex]

Step-by-step explanation:

We have

∠D = 45° = 45* π/180 radians = π/4 radians - eq(1)

big arc + small arc = 2π

small arc = 16x - 9

⇒ big arc = 2π - small arc

big arc = 2π - 16x + 9

[tex]\angle D = \frac{big \;arc - small \;arc}{2}[/tex]

[tex]\angle D = \frac{2\pi - 16x + 9 - 16x +9}{2}\\\\= \angle D = \frac{2\pi - 32x + 19 }{2}\\\\\angle D = \pi - 16x + 9[/tex]

Equating with eq(1)

π - 16x + 9 = π/4

⇒ 16 x = π - (π/4) +9

⇒ 16 x = (3π/4) +9

⇒ [tex]x = \frac{1}{16} (\frac{3\pi}{4} +9)[/tex]

[tex]x = \frac{3\pi}{64} +\frac{9}{16}[/tex]

The midpoint of the line segment with endpoints (2, 6) and (10, 4) is (6, 5).

To find the midpoint of a line segment, we can use the midpoint formula, which states that the coordinates of the midpoint are the average of the coordinates of the endpoints.

Let's denote the coordinates of the first endpoint as (x1, y1) and the coordinates of the second endpoint as (x2, y2).

In this case, the first endpoint is (2, 6) with coordinates (x1, y1) = (2, 6), and the second endpoint is (10, 4) with coordinates (x2, y2) = (10, 4).

To find the midpoint, we use the midpoint formula:

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

Plugging in the values, we have:

Midpoint = ((2 + 10) / 2, (6 + 4) / 2)

= (12 / 2, 10 / 2)

= (6, 5)

As a result, (6, 5) is the point on the line segment where the endpoints are (2, 6) and (10, 4) respectively.

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The function that satisfies the given condition is y = 3x + 2.

The correct answer to the given question is option B.

We are to find the function that satisfies the condition: When x increases from a to a + 2, y increases by a difference of 6.

A statement such as this represents a linear function, where y increases at a constant rate with respect to the increase in x.Let y = mx + b, be a linear function.

We know that when x increases from a to a + 2, y increases by a difference of 6. In other words, we can express this relationship using the following equation:

2m + b − m − b = 6 ⇒ m = 3

The function has been found to be y = 3x + b.

To find the value of b, we need to use the fact that when x increases from a to a + 2, y increases by a difference of 6: y(a + 2) − y(a) = 6 ⇒ 3(a + 2) + b − 3a − b = 6 ⇒ 6 = 6

Therefore, the function that satisfies the given condition is y = 3x + 2. The correct option is B) y = 3x + 2.

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Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

[tex]\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}[/tex]

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

[tex]\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}[/tex]

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

[tex]\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}[/tex]

[tex]\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800[/tex]

Calculating the proportion:

[tex]\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}[/tex]

Calculating the estimated number of visitors to The Youth Wing on Sunday:

[tex]\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800[/tex]

Simplifying the equation:

[tex]\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}[/tex]

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

[tex]\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254[/tex]

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

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10 and 5 are appropriate x-axis and y-axis unit scales given the coordinates (50, 40). Option B.

To determine the appropriate x-axis and y-axis unit scales given the coordinates (50, 40), we need to consider the relationship between the units on the axes and the corresponding values in the coordinate system.

The x-axis represents the horizontal dimension, while the y-axis represents the vertical dimension. The x-coordinate (50) represents a position along the x-axis, and the y-coordinate (40) represents a position along the y-axis.

To determine the appropriate scales, we need to consider how many units on the x-axis are needed to span the distance from 0 to 50 and how many units on the y-axis are needed to span the distance from 0 to 40.

In this case, the x-coordinate is 50, which means we need the x-axis to span a distance of 50 units. However, we don't have enough information to determine the scale for the x-axis accurately. Therefore, options A (50; 10) and D (50; 1) cannot be definitively chosen.

Similarly, the y-coordinate is 40, which means we need the y-axis to span a distance of 40 units. Considering the given options, option B (10; 5) would be a suitable scale, as it allows for the y-axis to span the necessary distance of 40 units.

In summary, given the coordinates (50, 40), the appropriate unit scales would be 10 units per increment on the x-axis and 5 units per increment on the y-axis (Option B).

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The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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Answer:

Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls

Answer:

- 15pr

Step-by-step explanation:

- 5p(3r) ← means multiply 3r by - 5p

= - 5p × 3r

= - 5 × 3 × p × r

= - 15 × pr

= - 15pr

The chords arc theorem and the angles of intersecting chords theorem indicates that we get;

a. CD = 32  

b. [tex]m\widehat{BD}[/tex] = 55°  

c. [tex]m\widehat{CD}[/tex] = 110°  

d. [tex]m\widehat{AB}[/tex] = 125°  

The angle of intersecting chords theorem states that the angle formed by the intersection of two chords in a circle is half the sum of the measure of the intercepted arcs.

The diameter of the circle AB indicates that we get;

PB is the perpendicular of the chord CD

CE = DE = 16

CD = CE + DE = 16 + 16 = 32

The chords CB and BD are congruent, therefore, according to the chords arc theorem, the arcs the chords intercepts are congruent.

Therefore; (4·x + 7)° = (5·x - 5)°

4·x + 7 = 5·x - 5

5·x - 4·x = 7 + 5 = 12

x = 12

[tex]m\widehat{BD}[/tex] = (5·x - 5)° = (5 × 12 - 5)° = 55°

[tex]m\widehat{BC}[/tex] = [tex]m\widehat{BD}[/tex] = 55°

[tex]m\widehat{CD}[/tex] = [tex]m\widehat{BC}[/tex] + [tex]m\widehat{BD}[/tex] = 55° + 55° = 110°

The angle of intersecting chords theorem indicates that we get;

90° = (1/2) × ((5·x - 5)° + m[tex]\widehat{AC}[/tex])

90° = (1/2) × ((4·x + 7)° + m[tex]\widehat{AD}[/tex])

Therefore; 2 × 90° = (4·x + 7)° + m[tex]\widehat{AD}[/tex]

(4·x + 7)° = 55°

Therefore; 2 × 90° = (4·x + 7)° + m[tex]\widehat{AD}[/tex] = 55° + m[tex]\widehat{AD}[/tex]

180° = 55° + m[tex]\widehat{AD}[/tex]

m[tex]\widehat{AD}[/tex] = 180° - 55° = 125°

m[tex]\widehat{AD}[/tex] = 125°

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Answer:

be more clear of what u mean edit the question and explain more of u mean

Answer:

  (b)  7

Step-by-step explanation:

You want to find the value of x in the figure where chords that cross at an angle of 122° intercept arcs of 195° and (6x+8)°.

The angle where the chords cross is half the sum of the measures of the intercepted arcs:

  (194° +(6x +8)°)/2 = 122°

  101 +3x = 122 . . . . . . . . . . divide by °, simplify

  3x = 21  . . . . . . . . . . . subtract 101

  x = 7 . . . . . . . . . . divide by 3

The value of x is 7.

__

Additional comment

The measure of arc KU is 50°.

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The values of f(-1), f(2x), f(t), and f(p-1) all simplify to 0. Therefore, f(-1) = f(2x) = f(t) = f(p-1) = 0.

To find the values of f(-1), f(2x), f(t), and f(p-1), we substitute the given values into the function f(x) = 2x - 2x and simplify.

f(-1):

Substituting x = -1 into f(x):

f(-1) = 2(-1) - 2(-1) = -2 + 2 = 0

f(2x):

Substituting x = 2x into f(x):

f(2x) = 2(2x) - 2(2x) = 4x - 4x = 0

f(t):

Substituting x = t into f(x):

f(t) = 2(t) - 2(t) = 2t - 2t = 0

f(p-1):

Substituting x = p-1 into f(x):

f(p-1) = 2(p-1) - 2(p-1) = 2p - 2 - 2p + 2 = 0

The values of f(-1), f(2x), f(t), and f(p-1) all simplify to 0. Therefore, f(-1) = f(2x) = f(t) = f(p-1) = 0.

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The volume of a cylinder is given by the equation presented as follows:

V = πr²h.

In which:

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

Hence the measures must be identified and have it's values replaced into the formula to obtain the volume of a cylinder.

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The solution for p=2l+2w, the value of w= 3 units.

To solve the equation p = 2l + 2w for w, we will follow the steps below:

Step 1: Start with the given equation: p = 2l + 2w.

Step 2: To isolate the variable w, we need to get rid of the terms involving l. We can do this by subtracting 2l from both sides of the equation:

p - 2l = 2w.

Step 3: Next, we want to solve for w. To do this, we divide both sides of the equation by 2:

(p - 2l) / 2 = w.

Step 4: Simplify the expression on the right side:

w = (p - 2l) / 2.

Now, let's apply this formula to a specific example. Suppose we have a rectangle with a perimeter of 16 units (p = 16) and a length of 5 units (l = 5). We can find the width (w) using the formula:

w = (16 - 2(5)) / 2

w = (16 - 10) / 2

w = 6 / 2

w = 3.

By following the steps outlined above and substituting the given values of the perimeter (p) and length (l) into the formula w = (p - 2l) / 2, you can determine the value of the width (w) for any given rectangle.

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The probability distribution for X is given as follows:

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The distribution gives the probability of each possible outcome, hence it is given as follows:

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The largest possible weight for the package is 11.5 kg.

To find the largest possible weight for the package, we need to consider the range within which the weight lies when rounded to the nearest kilogram.

When the package is weighed at 11 kg to the nearest kilogram, it means the actual weight could be anywhere between 10.5 kg and 11.5 kg. This is because rounding to the nearest kilogram involves considering values halfway between two integers to round up or down.

To determine the largest possible weight, we take the upper limit of this range, which is 11.5 kg. Therefore, the largest possible weight for the package is 11.5 kg.

Keep in mind that when rounding to the nearest kilogram, values from 10.5 kg to 11.4 kg would round down to 11 kg, while values from 11.5 kg to 12.4 kg would round up to 12 kg.

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Answer:

89

Step-by-step explanation:

Take half of 177 and round up, which is 177/2 = 88.5 = 89

This is because 89+88=177 and 89>88, so there will be a majority.

Answer:

2 miles per hour.

Step-by-step explanation:

When the boat is traveling upstream (against the current), its effective speed is reduced by the speed of the current. Therefore, the boat's speed relative to the ground (or still water) during the upstream trip is 11 - c miles per hour.

Similarly, when the boat is traveling downstream (with the current), its effective speed is increased by the speed of the current. Therefore, the boat's speed relative to the ground during the downstream trip is 11 + c miles per hour.

Given that the boat takes 26 minutes (or 26/60 hours) to make the upstream trip and 18 minutes (or 18/60 hours) to make the downstream trip, we can set up the following equations:

Distance = Speed × Time

For the upstream trip:

Distance = (11 - c) × (26/60)

For the downstream trip:

Distance = (11 + c) × (18/60)

Since the distances traveled in both directions are the same (as the boat goes to the same point and returns), we can equate the two equations:

(11 - c) × (26/60) = (11 + c) × (18/60)

Let's solve this equation to find the value of "c" (the speed of the current):

(11 - c) × (26/60) = (11 + c) × (18/60)

(11 - c) × 26 = (11 + c) × 18

286 - 26c = 198 + 18c

44c = 88

c = 88/44

c = 2

The solution to the system is (a) (4/5, 5, -4, -4)

From the question, we have the following parameters that can be used in our computation:

The augmented matrix

Where, we have

[tex]\left[\begin{array}{cccc|c}1&0&0&0&4/5\\0&1&0&0&5\\0&0&1&0&-4\\0&0&0&1&-4\end{array}\right][/tex]

From the above, we have the diagonals to be 1

And other elements to be 0

This means that the equation has been solved

So, we have

a = 4/5, b = 5, c = -4 and d =-4

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