2 Calculo la capacidad en litros de pipa
cilindrica de un trailer que mide 0. 70m de radio
y 6. 50m de largo​

The division calculation of 733 divided by 4 can be solved by finding the greatest multiple of 100 that can be multiplied by 4 without exceeding 733. The quotient is obtained by dividing this multiple by 4.

To solve 733 ÷ 4, we begin by finding the greatest multiple of 100 that can be multiplied by 4 without exceeding 733. In this case, the multiple is 700 (100 multiplied by 7). Next, we divide this multiple by 4 to obtain the quotient. The division can be performed as follows:

175

4 | 733

We start by dividing 7 (the tens digit of 700) by 4, which equals 1. We place this quotient of 1 on top. Then, we multiply 1 by 4, which equals 4, and subtract it from 7 to get the remainder of 3. We bring down the ones digit of 33, and the process is repeated. We divide 33 by 4, which gives us 8 with no remainder. Therefore, the quotient of 733 ÷ 4 is 183, with no remainder.

In summary, when dividing 733 by 4, we find the greatest multiple of 100 that can be multiplied by 4 without exceeding 733, which is 700. Dividing 700 by 4 gives us a quotient of 175. Therefore, the answer to 733 ÷ 4 is 183.

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During the late 19th and early 20th centuries, many artists were seeking a different world due to several reasons.

1. Social and Political Changes During the late 19th and early 20th centuries, social and political changes were occurring at a rapid pace. The industrial revolution led to the growth of cities, which, in turn, caused a breakdown in traditional society. As a result, many artists were seeking a different world that was more in line with their ideals.2. Technological Advancements Inventions such as the telegraph and the telephone enabled artists to communicate with one another and share their ideas. Artists were inspired by new technologies and used them to create new forms of art.3. World War I World War I was a traumatic event that had a significant impact on the artistic community. Many artists were disillusioned by the horrors of war and sought to create a new world that was free from conflict and violence.4. Industrialization and Urbanization .The growth of industry and the shift from rural to urban life had a profound effect on the artistic communit.5. Romanticism .Romanticism was a cultural movement that emphasized emotion, imagination, and individualism. Many artists were inspired by the romantic ideal and sought to create works that expressed their innermost feelings and thoughts. The movement emphasized the importance of nature, beauty, and the sublime, which were seen as antidotes to the dehumanizing effects of industrialization and urbanization.

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216 . Therefore, we can cut out 64 cubes with a side of 6cm from a cube with a side of 24cm, hence the total number of 6cm cubical boxes that can be cut out from a cube of side 24cm is:64 x 3 = 192.

To find out how many 6cm cubical boxes can be cut out from a cube of side 24cm, we need to divide the volume of the large cube by the volume of the small cube (6cm x 6cm x 6cm).

Given that the side of the large cube is 24cm.To calculate the number of 6 cm cubes that can be made from this, we need to find out how many 6 cm cubes are there in one side of the large cube.Dividing the side of the large cube by the side of the small cube gives:24/6 = 4Since the cube is a 3D figure, we need to multiply this by itself two more times, since there are three dimensions:4 x 4 x 4 = 64Therefore, we can cut out 64 cubes with a side of 6cm from a cube with a side of 24cm, hence the total number of 6cm cubical boxes that can be cut out from a cube of side 24cm is:64 x 3 = 192.

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The simplified ratio is: 3 : 1. This means that for every 3 liters of white paint, 1 liter of red paint is used in the mixture.

To find the ratio of white paint to red paint, we need to compare the amounts of white paint and red paint used. The given information states that mixing pink paint requires 3 liters of white paint and 1 liter of red paint.

The ratio of white paint to red paint can be expressed as:

White : Red

To simplify this ratio to its lowest terms, we need to find the greatest common divisor (GCD) of the two numbers (3 and 1) and divide both numbers by it.

The GCD of 3 and 1 is 1, as there are no common factors other than 1. Therefore, we divide both numbers by 1:

3 ÷ 1 = 3

1 ÷ 1 = 1

The ratio 3 : 1 represents the proportional relationship between white paint and red paint in terms of liters. It indicates that for every 3 liters of white paint, only 1 liter of red paint is needed to achieve the desired mixture.

This ratio is already in its simplest form since the GCD of 3 and 1 is 1, and there are no further common factors to divide both numbers by.

In conclusion, the ratio of white paint to red paint in the mixture is 3 : 1.

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The line of best fit is a straight line that best fits the scattered data points on a scatterplot. It is represented by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.

In this particular case, the equation of the line of best fit is y = -6x + 97, where x represents the number of absences and y represents the final grade.

This means that for every additional absence a student has, their final grade is expected to decrease by 6 points. The y-intercept of 97 means that if a student had zero absences, their predicted final grade would be 97.

It is important to note that the line of best fit is a prediction, and not a definitive statement about the relationship between the variables. While it can provide some insight into the relationship between the number of absences and final grade, there may be other factors that are not taken into account by the model.

Additionally, the equation of the line of best fit is only valid within the range of the data used to create the model. Extrapolating beyond this range may not produce accurate predictions.

Overall, the line of best fit is a useful tool for analyzing relationships between variables, but it should be used with caution and in conjunction with other analyses to get a complete understanding of the relationship between variables.

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Maggie can make anywhere from 5 to 4 sales to earn at least $225 and go to the lake with her friends.

Maggie gets paid $15 per hour plus $25 for every sale she makes. The number of sales she makes can be represented by x.

In order to calculate Maggie's earnings in terms of commission, we can use the equation 25x.

To calculate Maggie's earnings in terms of hourly pay, we can use the equation 15(8), since she works from 8am until 4pm, which is 8 hours. This simplifies to 120.The total amount Maggie earns can be represented by the equation:

Total earnings = 25x + 120

To find the minimum number of sales Maggie needs to make to earn at least $225, lets set up the inequality:

25x + 120 ≥ 225

Subtracting 120 from both sides, we get:

25x ≥ 105

Dividing both sides by 25, we get:

x ≥ 4.2

Maggie cannot make a fraction of a sale, so we can round up to find the minimum number of sales she needs to make, which is 5 sales.

To find the maximum number of sales Maggie can make, lets consider the fact that she is scheduled to work from 8am until 4pm, which is 8 hours. If she makes 0 sales, she will earn $120 (her hourly pay for 8 hours of work).

To find the maximum number of sales, we can set up the equation:25x + 120 ≤ 225

Subtracting 120 from both sides, we get:

25x ≤ 105

Dividing both sides by 25, we get:

x ≤ 4.2

Maggie cannot make a negative number of sales, so we can round down to find the maximum number of sales she can make, which is 4 sales.

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The possible values of the number of sales that Maggie can make to go to the lake are 5 and 4.

Given:

Maggie gets paid $15 per hour plus $25 for every sale she makes.

She needs to make at least $225 today.

She is scheduled to work from 8 am until 4 pm.

To find:

All the possible values of the number of sales that Maggie can make to go to the lake.

Solution:

Let's consider x to be the number of sales that Maggie makes.

To determine the minimum amount she needs to earn:

Her hourly wage for 8 hours of work = $15 × 8 = $120

Total earnings that she needs = $225 - $120 = $105

If y is the number of sales she needs to make to earn $105, then:

$25y = $105

Dividing both sides by $25, we get:

y = 4.2

This means she needs to make at least 5 sales.

Let's calculate the maximum number of sales that she can make. If she has to earn $240 for 8 hours of work:

Total earnings required = $240 - $120 = $120

$25y = $120

Dividing both sides by $25, we get:

y = 4.8

This means the maximum number of sales she can make is 4.

As such, the possible values of the number of sales that Maggie can make to go to the lake are 5 and 4.

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The cost of the printer was £468.75. Sean made a 32% profit on its cost price. He sold both the laptop and the printer for a total of £1,300, with the laptop alone fetching £1,150.

To find out the cost of the printer, you need to first calculate the cost of the laptop. Then, you can use that information along with the total selling price to determine the cost of the printer.

Let the cost of the laptop be L and the cost of the printer be P. Total selling price of both items = £1,300Amount Sean got just for the laptop = £1,150.Cost of printer = Total - Amount Sean got just for laptop= £1,300 - £1,150 = £150Sean made a 32% profit on the cost of the printer.

Profit percentage is calculated using the following formula:

Profit percentage = (Profit / Cost price) x 10032% = (Profit / Cost price) x 10032 / 100 = Profit / Cost price0.32 = Profit / P Profit = 0.32PNow, we know that the total selling price of both items is £1,300 and that the cost of the laptop is L. So, we can write:L + P = £1,300We also know that Sean made a profit of 32% on the cost of the printer. So, the selling price of the printer is 132% of its cost price. We can write this as:  .Selling price of printer = 1.32PAdding the selling prices of bot h items, we get:L + 1.32P = £1,300Now we can substitute L + P = £1,300 into this equation:L + 1.32P = £1,300L + 1.32P = L + P + 0.32PL + 0.32P = £1,3000.32P = £150P = £150 / 0.32P = £468.75.Therefore, the cost of the printer was £468.75.

The cost of the printer was £468.75. Sean made a 32% profit on its cost price. He sold both the laptop and the printer for a total of £1,300, with the laptop alone fetching £1,150.

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An engineer is designing a storage compartment in an aircraft. The compartment's volume is 72 cubic meters. The width is 2 meters longer than the length. The height is 1 meter less than the length. the dimensions of the compartment are 4m × 6m × 3m.

Find the dimensions of the compartment. Solution:The volume of a rectangular prism is given by;[tex]`V= l × w × h`[/tex] Given that the compartment's volume is 72 cubic meters, let's substitute[tex]`V = 72`[/tex]

cubic meters;[tex]`l × w × h = 72`[/tex]

We also know that;[tex]w = l + 2h = l - 1[/tex]

Substituting w and h in terms of l, we get;[tex]`l(l+2)(l-1) = 72`[/tex]Expanding,

we get;[tex]`l(l²-1) + 2(l²-1) = 72`[/tex]

Simplifying, we get;[tex]`l³ + l² - 2l - 74 = 0`[/tex]

We will use trial and error method to find one of the roots,`l= 4`.

By substitution, we get;[tex]w = 4 + 2 = 6m h = 4 - 1 = 3m[/tex]

Thus, the compartment dimensions are 4m × 6m × 3m. The width is 6 meters, the length is 4 meters, and the height is 3 meters.

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The number of pages read in 72 minutes is 144 pages.

When given a table of values, the relationship between the values ​​is often expressed as a rule or an equation. A formula that links the number of pages in a book to the number of minutes it takes to read it is often used in book reviews or book reports.  

Rule relating to the minutes, x, to the number of pages, y

Let us assume that reading x minutes corresponds to y pages. In other words, we want to identify an equation or formula that links the two variables.

The number of pages read in one minute is calculated by dividing the total number of pages by the total time it takes to read them.

y / x = k, where k is the constant of variation, or the number of pages that can be read in one minute. If the number of pages is directly proportional to the number of minutes, then the k value remains constant.

If we solve for y, we get the following:

y = kx

When the minutes equal 72, we will find the number of pages.

We know that k is a constant, so we may use any of the given (x, y) pairs.

The given minute value is x, and we want to find the corresponding page value, y.

Let us assume that 120 pages can be read in 60 minutes.

We may solve for k using this information:120 / 60 = k2 = k

Now that we know k, we may use the equation to determine the number of pages that can be read in 72 minutes:

y = kx

y = 2 * 72y = 144

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Answer:

I believe it's A

Step-by-step explanation:

The given options are 1.7 cm, 71, 21, 1.7 cm, 2.2 cm, 4.3 cm, 53, 377, 2.1 cm, 42, 3.2 cm, 3.8 cm, 3.6 cm, 2.9 cm, 2.5 cm, 34, and 8 cm.

The summary of the answer is that the length of the side is 2.2 cm.

In trigonometry, it is common to use the concept of a right triangle to relate the lengths of its sides with the trigonometric functions. However, without additional context or information about the triangle or the specific problem, it is not possible to determine the length of the side accurately.

Among the given options, the length of the side closest to 2.2 cm is 2.2 cm itself. Therefore, based on the options provided, we can conclude that the length of the side is 2.2 cm. However, it is important to note that without further information or context, this is an assumption based solely on the given options and may not be the correct answer in a different context or problem.

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y = 5x

This equation implies that each box of cookies costs $5.

To write an equation that models the relationship between the cost, y, of buying boxes of cookies, x, we need the values from the table. Since you haven't provided the specific values in the table, I'll give you an example equation based on a general scenario.

Let's assume that the cost of buying boxes of cookies follows a linear relationship with the number of boxes purchased. In this case, the equation can be written in the form:

y = mx + b

Where:

y represents the cost of buying boxes of cookies.

x represents the number of boxes purchased.

m represents the slope of the line, which indicates the rate of change in the cost per box.

b represents the y-intercept, which is the initial cost when no boxes are purchased.

You would need to substitute the actual values from your table into this equation to create a specific model for your situation. For instance, if the table shows the following data:

Boxes (x) Cost (y)

1            5

2            10

3            15

4            20

We can use these values to find the slope (m) and y-intercept (b) using linear regression techniques. Then, the equation that models this situation would be:

y = 5x

This equation implies that each box of cookies costs $5.

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The expressions that represent a 20% discount off the price of an item that originally costs d dollars are A. 0.8d and C. d-0.2d.

A 20% discount off the original price means that the discounted price is equal to 80% (100% - 20%) of the original price. Therefore, we can calculate the discounted price by multiplying the original price (d) by 0.8 (representing 80%).

Expression A (0.8d) represents the discounted price as 80% of the original price (d), so it is correct. Expression C, d-0.2d" represents a 20% discount off the price of an item that originally costs d dollars.

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Full question is:

Select all the expressions below which represent a 20% discount off the price of an item that originally costs d dollars.

A. 0.8d

B. d-0.2

C. d-0.2d

D. 1-0.2d​​

To calculate a 15% tip for a restaurant bill of $42.40, we multiply the bill amount by 0.15 to find the tip amount. The result will provide the tip amount, which can be added to the bill to get the total amount to pay. Therefore, a 15% tip for a restaurant bill of $42.40 is $6.36.

To calculate a 15% tip, we take 15% of the bill amount. The tip amount is found by multiplying the bill amount by the decimal equivalent of 15%, which is 0.15.

Given the restaurant bill of $42.40, we can find the tip amount by performing the calculation: $42.40 * 0.15 = $6.36.

Therefore, a 15% tip for a restaurant bill of $42.40 is $6.36.

To check if the answer is reasonable, we can consider the percentage amount and the total bill. A 15% tip is generally considered an average or moderate tip amount. Given the bill of $42.40, a tip of $6.36 seems reasonable in relation to the bill total.

However, tipping customs may vary in different regions or based on personal preferences. It is always advisable to consider the overall service quality and local tipping practices when determining an appropriate tip amount.

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the inequality 4.25x ≤ 12 represents the amount of fabric Chase needs to buy, ensuring that he stays within his limit of 12 bookmarks.

To determine the amount of fabric Chase needs to buy, we multiply the number of bookmarks (x) by the fabric required per bookmark (4.25 inches). This gives us the total amount of fabric needed for x bookmarks.

Since Chase wants to make no more than 12 bookmarks, we set up the inequality 4.25x ≤ 12. This means that the product of 4.25 and x should be less than or equal to 12. By doing so, we ensure that the total amount of fabric required does not exceed the limit of 12 bookmarks.

Solving this inequality, we can find the maximum value for x, which represents the number of bookmarks Chase can make within the given fabric constraint. Dividing both sides of the inequality by 4.25, we have x ≤ 12/4.25.

Therefore, the inequality 4.25x ≤ 12 represents the amount of fabric Chase needs to buy, ensuring that he stays within his limit of 12 bookmarks.

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The hour hand will stop at the 9 o'clock position.A clock typically has 12 hours marked on its face, and a complete revolution of the hour hand corresponds to 12 hours or 360 degrees.

To determine where the hour hand will stop after making 3/4 of a revolution clockwise, we need to calculate the angle it will cover in a equation.

A full revolution is 360 degrees, so 3/4 of a revolution is (3/4) * 360 = 270 degrees.

Starting at the 12 o'clock position, the hour hand will move clockwise, and after covering 270 degrees, it will stop at a new position.

To find the location on the clock where the hour hand stops, we divide 270 degrees by the angle covered by each hour mark on the clock face. Since the hour hand moves 30 degrees for each hour (360 degrees divided by 12 hours), we divide 270 by 30:

270 degrees / 30 degrees per hour = 9 hours.

Therefore, the hour hand will stop at the 9 o'clock position.

To summarize, if the hour hand starts at 12 and makes 3/4 of a revolution clockwise, it will stop at the 9 o'clock position.

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Answer:

Step-by-step explanation:

D)

[tex]\frac{4\sqrt{b} }{\sqrt{3}-b }[/tex]                         > in order to get rid of root on bottom like this, you

                                  need to multiply top and bottom by conjugate

                                  √3 +b

[tex]=\frac{4\sqrt{b} }{\sqrt{3}-b }\frac{\sqrt{3}+b}{\sqrt{3}+b}[/tex]              > Distribute on top and FOIL bottom

[tex]=\frac{4\sqrt{3b}+4b\sqrt{b} }{3 -b^{2} }[/tex]               >This is simplified, you cannot combine anything else

E)

[tex]\frac{3\sqrt{a^{2} } } {\sqrt{3} } / 2a^{\frac{3}{2} }[/tex]                    >√a² = a

[tex]=\frac{3a } {\sqrt{3} } / 2a^{\frac{3}{2} }[/tex]                    >Division of fraction keep change flip

[tex]=\frac{3a } {\sqrt{3} } * \frac{1}{2a^{\frac{3}{2}} }[/tex]                  >Because 2a is not in parenthesis 3/2 exp.

                                     is only for a

[tex]=\frac{3a } {\sqrt{3} } * \frac{1}{2\sqrt{a^{3} } }[/tex]              > You can make 1 set of a² so 1 comes out but 1 stays

[tex]=\frac{3a } {\sqrt{3} } * \frac{1}{2a\sqrt{a } }[/tex]              >put like items under root

[tex]=\frac{3a } {2a\sqrt{3a} }[/tex]                     >multiply top and bottom by root

[tex]=\frac{3a } {2a\sqrt{3a} }*\frac{\sqrt{3a}}{\sqrt{3a}}[/tex]             >multiply

[tex]=\frac{3a\sqrt{3a} } {2a(3a)} }[/tex]                       >3a cancels

[tex]=\frac{\sqrt{3a} } {2a} }[/tex]                           >This is simplified

The answer is 25. 3. Hence, option B is the correct answer.

Given that the two vertical posts stand side by side. One post is 8 feet tall and the other is 17 feet tall, and a 24-foot post is stretched between the tops of the posts, we need to find how far apart are the posts?We have to use the Pythagorean Theorem to find the distance. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides of the triangle.The figure can be drawn as below:

Here, AB is the 24 foot post, and A and B are the tops of the shorter and the taller post, respectively.

From the figure, we can observe that:

In triangle ABC,

AB² = AC² + BC² (According to Pythagoras theorem)

AC = 8 feet

BC = 17 feet

AB = 24 feet

Substituting the values in the above formula we get,

24² = 8² + 17²

576 = 64 + 289

576 = 353 + BC²

BC² = 576 - 353

BC² = 223

BC = sqrt(223)

The distance between the two posts is the length of the line segment CD, which is BC minus the length of the line segment AD.

Therefore,

Distance between the posts = BC - AD= sqrt(223) - 24= 3.17 ft (approx)

Therefore, the answer is 25. 3. Hence, option B is the correct answer.

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The equation of the new line, after dilation by a scale factor of 3 and centering at the origin, is y' = 9x - 18.

To dilate a line by a scale factor of k and center it at the origin, you multiply the coordinates of each point on the original line by the scale factor. Since the given line is y = 3x - 6, we can perform the dilation as follows:

The original line: y = 3x - 6

To dilate it by a scale factor of 3, we multiply both the x-coordinate and the y-coordinate of each point by 3:

New line: y' = 3 * y and x' = 3 * x

Substituting these values into the original equation, we have:

y' = 3(3x - 6)

Simplifying, we get:

y' = 9x - 18

Therefore, the equation of the new line, after dilation by a scale factor of 3 and centering at the origin, is y' = 9x - 18.

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To find the length of the diagonal of a rectangular pool whose dimensions are given, you can use the Pythagorean Theorem.

The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. So, if we consider the length and width of Catherine's pool as the two shorter sides of a right-angled triangle, we can use the Pythagorean Theorem to find the length of the diagonal (the hypotenuse).

The formula to find the length of the diagonal is given by: diagonal=\sqrt{length^2+width^2} where length and width are the dimensions of the rectangle. So, for Catherine's pool, we have:length = 95 feet width = 55 feet Using the formula, we get: diagonal=\sqrt{length^2+width^2}= \sqrt{(95)^2 + (55)^2}= \sqrt{9025 + 3025}= \sqrt{12050}= 109.59\ \text{feet} Therefore, the length of the diagonal of Catherine's pool is approximately 109.59 feet.

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Devika poured out 4.2 ounces of water, which is approximately 35% of the water in the full bottle.

To find out how much water was in the full bottle, we can set up a proportion.

Let x represent the amount of water in the full bottle (in ounces). We know that 4.2 ounces is 35% of x.

We can set up the proportion:

4.2 / x = 35 / 100

To solve for x, we can cross-multiply:

4.2 * 100 = 35 * x

420 = 35x

Dividing both sides of the equation by 35:

420 / 35 = x

12 = x

Therefore, there were approximately 12 ounces of water in the full bottle.

So, Devika estimated that she poured out about 35% of the water in the full bottle, which corresponds to approximately 4.2 ounces.

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The capacitance of a parallel plate capacitor can be calculated using the formula:

C = (ε₀ * A) / d

Therefore, the correct option is:

d. 2.3 x 10^-10 F

Where:

C is the capacitance

ε₀ is the permittivity of free space (approximately 8.854 x 10^-12 F/m)

A is the area of one of the plates

d is the separation distance between the plates

Given that the radius of each plate is 2.5 mm, the area (A) can be calculated as follows:

A = π * r^2

A = π * (2.5 mm)^2

The separation distance between the plates is 0.75 mm.

Now we can substitute the values into the capacitance formula:

C = (ε₀ * A) / d

C = (8.854 x 10^-12 F/m) * (π * (2.5 mm)^2) / (0.75 mm)

Let's calculate the value:

C ≈ 2.3228 x 10^-10 F

Rounding to the nearest significant figure, the capacitance is approximately 2.3 x 10^-10 F.

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System of linear equations represented by the augmented matrix . It means that we can take any real value for x1 and x2, while x3 will always be -t/6. Here, the system of linear equations has an infinite number of solutions.

The augmented matrix | 1 0 0 || 0 1 6 | is representing the following system of linear equations;`x1 = 0``x2 + 6x3 = 0`Using x2 = t and

solving for x1 in terms of t;x2 = tx1 = 0 (when x2 = t)Then, the solution set of the system of linear equations represented by the augmented matrix | 1 0 0 || 0 1 6 | is {x1=0, x2=t, x3=-t/6}

where t is an arbitrary constant.

We can see that x1 and x2 are arbitrary constants, but x3 = -t/6. It means that we can take any real value for x1 and x2, while x3 will always be -t/6.

Here, the system of linear equations has an infinite number of solutions.

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Answer:

  27

Step-by-step explanation:

You want to know the ACT composite test score for the 87.49th percentile, given the ACT scores have a mean of 21.0 and a standard deviation of 5.2.

The Z-table in the first attachment shows you the Z-value of the 87.49th percentile is 1.10+0.05 = 1.15.

The corresponding score is ...

  X = μ +σZ

  X = 21.0 +5.2·1.15 ≈ 27

A learner must earn a score of 27 to be at the 87.49th percentile on the ACT composite test.

<95141404393>

a) The radian measure is 5π radians.

b) The radian measure is (3πr)/2 radians.

To determine the radian measure corresponding to a certain number of orbits in a circular orbit, we need to know the circumference of the orbit.

The circumference of a circle is given by the formula C = 2πr, where C represents the circumference and r represents the radius.

Let's assume the radius of the circular orbit is denoted by "r."

(a) To find the radian measure for 2.5 orbits:

The total angle covered in 2.5 orbits is equivalent to 2.5 times the full circumference of the orbit.

Angle = 2.5 * (2πr) = 5πr

Therefore, the radian measure corresponding to 2.5 orbits is 5π radians.

(b) To find the radian measure for 3/2 orbit:

The total angle covered in 3/2 of an orbit is equivalent to (3/2) times the full circumference of the orbit.

Angle = (3/2) * (2πr) = 3πr/2

Therefore, the radian measure corresponding to 3/2 of an orbit is (3πr)/2 radians.

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De acuerdo con lo anterior podemos inferir que para los amigos Pedro y John, el incremento de masa muscular se representa por un número decimal periódico mixto.

El número decimal periódico mixto se refiere a un número decimal que tiene una parte entera, una parte decimal y una parte periódica, que se repite de forma continua.

Al observar los incrementos de masa muscular de los amigos, encontramos que Pedro tiene un incremento de masa muscular de 5/6 kg, lo cual se representa como 0.8(3) kg, donde el "3" se repite de forma continua.

Por otro lado, John tiene un incremento de masa muscular de 16/45 kg, que se representa como 0.3(5) kg, donde el "5" se repite de forma continua.

Entonces, la respuesta correcta es la opción D: Pedro y John.

Nota: Esta pregunta está incompleta. Aquí esta la información completa:
Imagen anexada.

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To convert the rate of water flow from meters per minute to kilometers per hour, we need to multiply by a conversion factor. Since there are 60 minutes in an hour and 1000 meters in a kilometer, the conversion factor is (60/1000).

So, the rate of flow in km/h is (300 * 60/1000) = 18 km/h.

Therefore, the correct answer is option b) 18.

To find the ratio of 1 liter to 350 ml, we need to convert both measurements to the same unit. Since 1 liter is equal to 1000 ml, the ratio becomes:

1 liter : 1000 ml

To simplify the ratio, we divide both sides by 50:

(1 liter / 50) : (1000 ml / 50)

Therefore, the correct ratio is option a) 20:7.

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Average seawater salinity = 3.5%100g of salt has been left after seawater has evaporatedThe mass of salt dissolved in 100g of seawater will be 3.5g (since salinity is 3.5%)Let x be the mass of seawater that needs to be evaporated to leave 100g of salt.

According to the law of conservation of mass,Mass of salt in the solution before = Mass of salt in the solution afterTherefore, 100g of salt that has been left after evaporation was originally dissolved in x grams of seawater.

Therefore, the mass of salt in that seawater would have been 3.5% of x.Using the above information, we can write an equation as follows:0.035x = 100g Therefore, about 2857.14 g or 2.85714 kg of seawater needs to have evaporated to leave 100 g of salt.

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The measurement that is more accurate but less precise than 5.3 pounds is 5 pounds.

Accuracy refers to how close a measurement is to the true value, while precision refers to the level of consistency or reproducibility of a measurement.

In this scenario, the scale measured a 4.5-pound brick as weighing 5.3 pounds. Comparing this measurement to the true value, we can say that it is not accurate because it overestimates the weight of the brick. However, it is relatively precise because it provides a specific value (5.3 pounds) rather than a range of values.

To find a measurement that is more accurate but less precise than 5.3 pounds, we look for a value that is closer to the true weight of the brick (4.5 pounds) but still lacks precision. Among the given options, 5 pounds is the closest value to the true weight of the brick, making it more accurate. However, it is less precise because it represents a rounded value without indicating any decimals.

Therefore, among the options provided, 5 pounds is the measurement that is more accurate but less precise than 5.3 pounds.

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