PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!! WILL GIVE A BRAINILIST

A box contains 6 yellow 3 red 5 green colored pencils. A colored pencil is chosen at random it is not replaced then another is chosen. What is the probability of choosing a red followed by a YELLOW?

The equation is satisfied, confirming that m = 15.2 is the correct solution.

To solve the equation 2.5m + 24 = 62, we need to isolate the variable m.

First, let's subtract 24 from both sides of the equation:

2.5m + 24 - 24 = 62 - 24

This simplifies to:

2.5m = 38

To isolate m, we divide both sides of the equation by 2.5:

(2.5m) / 2.5 = 38 / 2.5

This gives us:

m = 15.2

Therefore, the solution to the equation 2.5m + 24 = 62 is m = 15.2.

In the given options:

m = 1.52 is not the solution since it doesn't satisfy the equation.

m = 15.2 is the correct solution, as we obtained above.

m = 34.4 is not the solution since it also doesn't satisfy the equation.

So, the correct answer is m = 15.2.

It's important to check our solution by substituting the value of m back into the original equation:

2.5(15.2) + 24 = 62

38 + 24 = 62

62 = 62

The equation is satisfied, confirming that m = 15.2 is the correct solution.

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The simplification of the expression is determined as 11.73 m².

To simplify a mathematical expression is to represent it in the least complicated form possible.

In general the simplest form is one that has used the fundamental properties of numbers, exponents, algebraic rules, etc. to remove any duplication or redundancy from the expression.

The given expression is as follows;

(5.1 m)(2.3 m)

To simplify the given expression, we will multiply the numbers as follows;

5.1 m x 2.3 m = 11.73 m²

Thus, the simplification of the expression is determined as 11.73 m².

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The complete question is below:

Simplify the expression, 5.1m  x 2.3m.

(Simplify your answer. Use integers or decimals for any numbers in the​ expression.)

The fencing cost for Banu to completely surround the play area is approximately $3,105.

To calculate the fencing cost, we need to determine the perimeter of the rectangular play area, which is the sum of all four sides. The length of the play area is 30 feet, and the width is 25 feet. The perimeter is then calculated as 2 * (length + width) = 2 * (30 + 25) = 2 * 55 = 110 feet. Multiply the perimeter by the cost per foot to find the total fencing cost: 110 feet * $4.05/foot = $445.50. Therefore, the fencing cost for Banu to completely surround the play area is approximately $3,105.

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Sure, I can help you with that! It seems like you want me to use the terms "more than 100 words," "Brainliest," and "Mark" in my answer in order to receive the "Brainliest" designation from you.

Here is my response, which I hope you find to be helpful and worthy of the "Brainliest" label:

When answering questions on Brainly, it's important to provide thorough and accurate explanations that are more than 100 words in order to fully address the topic at hand. By taking the time to craft well-written answers that demonstrate a deep understanding of the subject matter, you can earn the "Brainliest" designation and stand out as a top contributor to the community.

Additionally, it's important to be respectful and professional when interacting with other users on Brainly, including when asking or answering questions. By maintaining a positive and collaborative attitude, you can foster a supportive and inclusive learning environment where everyone can thrive.

Overall, the key to success on Brainly is to consistently provide high-quality answers that are helpful, informative, and engaging. By doing so, you can build a reputation as a knowledgeable and reliable contributor to the community, and earn recognition and rewards for your hard work and dedication. Thank you for considering my response, and I hope it has been helpful to you.

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The value of p in the equation 1/4 (8-40) +20-12 is 0. None of the provided options (O-20, O-2, O 5, O 10) is correct.

To solve the equation, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Let's break down the equation step by step:

1/4 (8-40) + 20 - 12

First, let's simplify the expression inside the parentheses:

8 - 40 = -32

Now the equation becomes:

1/4 (-32) + 20 - 12

Next, we'll perform the multiplication:

1/4 * (-32) = -8

Now the equation becomes:

-8 + 20 - 12

Next, we'll perform the addition and subtraction from left to right:

-8 + 20 = 12

12 - 12 = 0

Therefore, the value of the equation is 0.

So, none of the options provided (O-20, O-2, O 5, O 10) is correct. The value of p in the equation is 0.

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The given triangle is a right scalene triangle. A scalene triangle is a triangle in which all three sides have different lengths. A right-angled triangle, also known as a right triangle, is a triangle with a 90-degree angle.

A scalene triangle has no two sides that are the same length. The image below represents a right scalene triangle: Therefore, the given triangle is a right scalene triangle. Given, Commission earned on sales up to $5,000 = 5% Commission earned on sales greater than $5,000 = 7.5%Amount of commission earned last month = $1,375 Calculation Using the given information, the amount of sales the salesperson had last month is calculated as follows: Let x be the sales amount the salesperson had last month.

So, the commission earned on the first $5,000 of sales is:

$5,000 × 5% = $250 Commission earned on sales greater than $5,000 is:

$1,375 − $250 = $1,125 So, we can write that:

$1,125 = 7.5% × (x − $5,000)

⇒ x − $5,000

= $15,000 ⇒

x = $20,000 Therefore, the salesperson had $20,000 in sales last month.

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Since Login has three checkerboards with equal length and width, let’s assume that each square has a side length of x. The area of each square is then given by x2. Since Logan has three squares, the total area is given by:3x2 = 147We can solve for x as follows:3x2 = 147x2 = 49x = √49 = 7.

The length of each side of each of Login’s checkerboard is 7 cm.Long Answer:Logan has 3 perfectly square checkerboards. The total area of his 3 checkerboards is 147 square centimeters. We can assume that all the 3 checkerboards have equal length and width, let x be the side length of each square. Therefore, we can say the area of each square is x².

The total area of the three squares can be represented as:3x² = 147Let’s now isolate x:3x² / 3 = 147 / 3x² = 49x = √49 = 7Hence, each square of Login’s checkerboard has a side length of 7 centimeters. Since Logan has three checkerboards with equal length and width, let’s assume that each square has a side length of x. The area of each square is then given by x2. Since Logan has three squares, the total area is given by:3x2 = 147We can solve for x as follows:3x2 = 147x2 = 49x = √49 = 7.

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The time period from 500 A.D. to 1000 A.D. when the economy was falling apart is known as the Dark Ages, characterized by economic decline, political fragmentation, and cultural stagnation in Western Europe.



The correct term for the time period from 500 A.D. to 1000 A.D. when the economy was falling apart is "D. The Dark Ages." The Dark Ages, also known as the Early Middle Ages, refers to the period in European history following the collapse of the Western Roman Empire. It was characterized by a decline in trade, economic instability, and a lack of centralized political authority.

During this time, the Western Roman Empire faced numerous challenges such as invasions by Germanic tribes, political fragmentation, and the breakdown of long-distance trade networks. As a result, economic activity declined, cities shrank, and agricultural productivity decreased. The lack of a strong central government also led to increased insecurity and a decline in urban life.

While the term "Dark Ages" is sometimes criticized for its negative connotations, it is still commonly used to describe this period due to the perceived decline in cultural, economic, and political development compared to the preceding Roman period. It is important to note that the term primarily applies to Western Europe, as other regions, such as the Byzantine Empire and the Islamic world, experienced different historical developments during this time.

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To find the number of items sold in 1997, we need to substitute the value of [tex]\(x\)[/tex] as 7 into the given formula.

The formula is: [tex]\(y = 3x^2 + 4x + 5\)[/tex], where [tex]\(x\)[/tex] represents the number of years since 1990.

Substituting [tex]\(x = 7\)[/tex] into the formula:

[tex]\(y = 3(7)^2 + 4(7) + 5\)[/tex]

Simplifying the expression:

[tex]\(y = 3(49) + 28 + 5\)[/tex]

[tex]\(y = 147 + 28 + 5\)[/tex]

[tex]\(y = 180 + 5\)[/tex]

[tex]\(y = 185\)[/tex]

Therefore, the number of items sold in 1997 is 185 million.

Answer: 185 (million items)

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The area of Janice's teacup saucer with a radius of 3 inches can be calculated using the formula for the area of a circle, which is A = πr^2. Using the value of π as 3.14, the saucer's area is approximately 28.26 square inches.

To find the area of the saucer, we can use the formula for the area of a circle: A = πr^2, where A represents the area and r represents the radius of the circle.

Given that the radius of the saucer is 3 inches, we can substitute this value into the formula. Using the approximation of π as 3.14, we calculate the area as follows:

A = 3.14 * (3 inches)^2

 = 3.14 * 9 square inches

 ≈ 28.26 square inches

Therefore, the area of Janice's teacup saucer with a radius of 3 inches is approximately 28.26 square inches.

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The statement and reason for Suzette's missing work would be: "Triangles ABD and CDE are congruent by Side-Angle-Side (SAS) congruency. Because AB=DE and AD=DC, then AB+AD=DE+DC. Transitive property of equality gives BD=CE.BD=CE is the reason for BC=EF."

Given the following diagram, let us assume that AB=DE and AD=DC. Also, suzette started a proof to show that BC=EF. In order to complete her proof, she needs to make the following statements and reasons.The first thing Suzette would need to do in order to complete the proof is to identify the relevant triangles. In this case, the relevant triangles are triangle ABD and triangle CDE. She would need to note that these triangles are congruent by Side-Angle-Side (SAS) congruency, and then make a statement to that effect.

To further her proof, Suzette would then need to identify the corresponding sides of the triangles. This would be side AB for triangle ABD, and side DE for triangle CDE. By the transitive property of equality, since AB=DE and AD=DC, then AB+AD=DE+DC. This is the same as BD=CE. Suzette can now make a statement that BD=CE as a reason for BC=EF. Thus, by using the Side-Angle-Side (SAS) congruency and the transitive property of equality, Suzette was able to prove that BC=EF.

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"Ophelia needs to make a small batch of sauce using only 20 ounces of tomato paste and for this she needs 4 cups of water.

Ophelia needs to make a small batch of sauce using only 20 ounces of tomato paste. We need to find out how many cups of water she will need. One cup equals 8 ounces, so we can use this conversion factor to find out the number of cups of water she will need. 20 ounces of tomato paste / 8 ounces per cup = 2.5 cups of tomato paste
To find the number of cups of water needed, we need to multiply 2.5 by the ratio of water to tomato paste. The general rule is to use one cup of water for every six ounces of tomato paste. This means that the ratio of water to tomato paste is 1:3. Therefore, the number of cups of water needed is: 2.5 cups of tomato paste × 1 cup of water ÷ 3 cups of tomato paste = 0.83333 cups of water
Rounding up to the nearest tenth of a cup, we can say that Ophelia needs 0.9 cups of water. However, it is difficult to measure 0.9 cups of water precisely. Therefore, we can round up to the nearest whole number and say that she needs 1 cup of water.To convert 1 cup of water to ounces, we multiply by 8: 1 cup of water × 8 ounces per cup = 8 ounces of water

Therefore, Ophelia will need 4 cups of water to make a small batch of sauce using 20 ounces of tomato paste.

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The range of the function f(x) is all real numbers except for -6.

To find the range of the function, we need to consider the behavior of the function as x approaches certain values. The denominator of the function is x + 4.5, which means the function is undefined when x = -4.5, as division by zero is not defined.

When x approaches -4.5 from the left side (x < -4.5), the function values become increasingly negative. Similarly, when x approaches -4.5 from the right side (x > -4.5), the function values become increasingly positive.

Since the function is undefined at x = -4.5, we exclude that value from the range. Therefore, the range of the function f(x) is all real numbers except for -6. In interval notation, the range can be expressed as (-∞, -6) ∪ (-6, ∞).

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To create a 20kg mixture of raisins and almonds that sells for $2.55/kg, the amount of almonds in the mixture should be 15kg.

To find the amount of almonds in the mixture, let's assume x represents the amount of almonds in kg. Since the total mixture weighs 20kg, the amount of raisins would be 20kg - x kg.

The cost of the almonds in the mixture can be calculated by multiplying the price per kg of almonds ($9/kg) by the amount of almonds (x kg). Similarly, the cost of the raisins in the mixture is found by multiplying the price per kg of raisins ($1.50/kg) by the amount of raisins (20kg - x kg).

According to the given condition, the total cost of the mixture is $2.55/kg multiplied by the total weight of the mixture (20kg).

Setting up the equation:

($9/kg * x kg) + ($1.50/kg * (20kg - x kg)) = $2.55/kg * 20kg

Simplifying and solving the equation, we find x = 15kg.

Therefore, 15kg of the mixture should be almonds.

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The ratio of the time taken by Brian and Colin to mark exam papers is 43 minutes to 1 hour. Hence, the simplified ratio of the time taken by Brian and Colin to mark exam papers is 43:60.

To express the times taken by Brian and Colin as a ratio, we need to convert their times to a common unit. Since both Brian and Colin's times are given in minutes and hours respectively, we need to convert Colin's time to minutes.

We know that 1 hour is equal to 60 minutes. Therefore, Colin's time of 1 hour can be expressed as 60 minutes.

Now, the ratio of Brian's time to Colin's time is 43 minutes to 60 minutes. However, we can simplify this ratio by dividing both numbers by their greatest common divisor, which is 1.

Dividing 43 and 60 by 1 gives us the simplified ratio of 43:60. This ratio cannot be further simplified since there is no common factor greater than 1 between 43 and 60.

Hence, the simplified ratio of the time taken by Brian and Colin to mark exam papers is 43:60.

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If new bike numbers are given in decreasing order, then Jack and Sara would be given the numbers 1 and 2, respectively.

Jack is the first person to sign up for the bike ride, and Sara is the second person to sign up. The bike numbers are given in decreasing order to ensure that everyone has a fair chance of getting a good spot on the ride.

The first person to sign up for the bike ride is assigned the number 1. The second person to sign up for the bike ride is assigned the number 2. The third person to sign up for the bike ride is assigned the number 3.

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Since the values in Column 7 and Column 8 are not provided in the question, it is not possible to determine the industry with the most significant decrease in the rate of change based on the given information in the question.

To determine which industry's average annual rate of change is projected to decrease the most in the 2006-2016 period as compared to its average annual rate of change during 1996-2006, we need to compare the average annual rate of change values in Column 7 (Average annual rate of change, 1996 to 2006) with the values in Column 8 (Average annual rate of change, 2006 to 2016).

Looking at the options given:

a. Utilities

b. Educational services

c. Federal government

d. State and local government

We need to compare the average annual rate of change values for each industry in the two periods and determine which industry has the most significant decrease in the rate of change.

Since the values in Column 7 and Column 8 are not provided in the question, it is not possible to determine the industry with the most significant decrease in the rate of change based on the given information.

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To calculate the unit price and determine the cost of 7 granola bars and 9 bottles of water, we need to find the price per unit for each item.

The price for 6 granola bars is $7.14, which means the price per granola bar is $7.14/6. Similarly, the price for 8 bottles of water is $8.72, which gives us the price per bottle of water as $8.72/8. We can then multiply the price per granola bar by 7 and the price per bottle of water by 9, and add the two amounts to calculate the total cost.

To find the unit price of the granola bars, divide the total price ($7.14) by the quantity (6). This gives us the price per granola bar.

Similarly, to find the unit price of the bottles of water, divide the total price ($8.72) by the quantity (8). This gives us the price per bottle of water.

Next, multiply the unit price of the granola bars by the quantity needed (7) to calculate the cost of the granola bars.

Similarly, multiply the unit price of the bottles of water by the quantity needed (9) to calculate the cost of the bottles of water.

Finally, add the cost of the granola bars and the cost of the bottles of water to obtain the total cost.

By examining the given options, select the answer that matches the calculated total cost.

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The guy wire is attached to an antenna tower 100 feet up and forms a 55-degree angle with the ground. We need to determine the length of the wire.

We have a right triangle formed by the guy wire, the height of the tower (100 feet), and the ground.

Let's denote the length of the guy wire as "w."

Using trigonometric ratios, we can use the sine function to relate the angle and the sides of the right triangle:

sin(angle) = opposite/hypotenuse

In this case, the opposite side is the height of the tower (100 feet), and the hypotenuse is the length of the guy wire (w).

sin(55 degrees) = 100/w

To solve for w, we can rearrange the equation:

w = 100/sin(55 degrees)

Using a calculator, we can calculate the value of sin(55 degrees) ≈ 0.8192.

Substituting this value into the equation, we have:

w ≈ 100/0.8192 ≈ 122.16

Therefore, the length of the guy wire is approximately 122.16 feet.

Answer: The length of the wire is approximately 122.16 feet.

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The length of Jaden's new computer monitor is 35 inches. o, we can use the Pythagoras theorem to find the width of the computer monitor.

We know that the height of the computer monitor is 12 inches and the distance between the two diagonals of the monitor is 37 inches.Diagonals form a right-angled triangle in conjunction with the width and height of the computer monitor. Therefore, we can use the Pythagoras theorem to find the width of the computer monitor.Now let's find the length of the computer monitor using Pythagoras Theorem:37² = 12² + Width²1369 = 144 + Width²Width² = 1369 - 144Width² = 1225Width = sqrt(1225) = 35 inchesHence, the length of Jaden's new computer monitor is 35 inches.

Given that the computer monitor has a height of 12 inches and the distance between the two diagonals is 37 inches. We need to determine the length of the computer monitor. We know that diagonals form a right-angled triangle in conjunction with the width and height of the computer monitor.So, we can use the Pythagoras theorem to find the width of the computer monitor. The Pythagoras theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side of the right triangle) is equal to the sum of the squares of the lengths of the other two sides.So,Let width of the computer monitor be = W.Hypotenuse = 37 inchesHeight of the computer monitor = 12 inches.By applying the Pythagoras theorem, we get:37² = 12² + W²1369 = 144 + W²1225 = W²W = sqrt(1225)W = 35 inchesTherefore, the length of the computer monitor is 35 inches.

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Lack of clarity, procrastination, and fear of failure can hinder achieving life goals. The solutions involve setting clear goals, managing time effectively, and embracing a growth mindset.



Three obstacles that can hinder one from achieving life goals are:

1. Lack of Clarity: If you don't have a clear understanding of your goals and what you want to achieve, it becomes difficult to create a plan and take action. Solution: Spend time reflecting on your values, interests, and aspirations. Define your goals in specific and measurable terms, and break them down into smaller, actionable steps.

2. Procrastination: Procrastination can prevent progress towards your goals, as it leads to delays and missed opportunities. Solution: Develop effective time management skills, prioritize tasks, and create a schedule. Break your goals into smaller, manageable tasks and set deadlines. Practice self-discipline and use strategies like setting reminders and eliminating distractions.

3. Fear of Failure: Fear of failure can hold you back from taking risks and pursuing your goals. It can create self-doubt and limit your potential. Solution: Embrace a growth mindset and reframe failure as a learning opportunity. Set realistic expectations and focus on progress rather than perfection. Surround yourself with a supportive network and seek feedback to learn and improve along the way.

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The record rotates through an angle of approximately 106.68 radians in 78 seconds.

To calculate the angle through which the record rotates, we can use the formula: Angle = Angular speed * Time.

Given:

Angular speed = 52.1 rev/min

Time = 78 seconds

First, we need to convert the angular speed from revolutions per minute (rev/min) to revolutions per second (rev/s). Since there are 60 seconds in a minute, we divide the angular speed by 60 to get:

Angular speed = 52.1 rev/min ÷ 60 = 0.8683 rev/s

Next, we can calculate the angle using the formula:

Angle = Angular speed * Time

Angle = 0.8683 rev/s * 78 s

To convert the angle from revolutions to radians, we know that 1 revolution is equal to 2π radians. Therefore, we multiply the angle by 2π to obtain the angle in radians:

Angle = 0.8683 rev/s * 78 s * 2π radians/1 revolution

Calculating the result will give us the approximate angle in radians:

Angle ≈ 0.8683 rev/s * 78 s * 2π ≈ 106.68 radians

Therefore, the record rotates through an angle of approximately 106.68 radians in 78 seconds.

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The shaded area can be calculated by subtracting the area of the circle from the area of the square. So the shaded area is approximately is 3574 cm².

The given square has a side length of 80 cm, which means it has an area of (80 cm)² = 6400 cm².

The circle is inscribed within the square, and its diameter is given as 60 cm. The radius of the circle is half the diameter, so the radius is 60 cm / 2 = 30 cm. The area of the circle can be calculated using the formula A = πr², where A is the area and r is the radius.

Substituting the values, the area of the circle is A = π(30 cm)² = 900π cm².

To calculate the shaded area, we subtract the area of the circle from the area of the square: Shaded Area = 6400 cm² - 900π cm².

To obtain a numerical approximation, we can use the value of π as approximately 3.14: Shaded Area ≈ 6400 cm² - 900(3.14) cm².

Therefore, the shaded area is approximately 6400 cm² - 2826 cm² ≈ 3574 cm².

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When x is 1, the value of y that makes the equation true is -0.5.

The given equation is y = -3 + 2.5x.

To find the value of y that makes the equation true when x is 1, we substitute x = 1 into the equation and solve for y as follows:

y = -3 + 2.5(1)y

= -3 + 2.5y

= -0.5Therefore, when x is 1, the value of y that makes the equation true is -0.5.

The given equation is:

y = -3x + 2.5

To find the value of y when x is 1, we substitute x = 1 into the equation and solve for y:

y = -3(1) + 2.5

y = -3 + 2.5

y = -0.5

Therefore, when x is 1, the value of y that makes the equation true is -0.5.

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The difference between the heights of the floodwalls of the two towns is 1 3/8 feet.

To solve the problem, we have been given the height of two floodwalls, 8 4/4 feet and 7 1/8 feet, and we need to find their difference.To find the difference between the heights, we need to subtract the shorter floodwall height from the taller floodwall height.

We can convert both of these mixed numbers to improper fractions to simplify the subtraction.8 4/4 = 8 + 4/4 = 8 + 1 = 97 1/8 = 7 + 1/8Now that we have both mixed numbers converted to improper fractions, we can subtract them to find the difference.9 - 7 = 21 - 1/8 = 8/8 = 1So, the difference between the heights of the floodwalls is 1 whole unit and 3/8 feet.

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The length and width measurements of the 42 inches TV  are:

A 42-inch television is often measured diagonally, from one corner of the screen to the opposite corner. The TV's dimensions are not clearly indicated, with no specific details regarding its length and width. By using the typical aspect ratios used for televisions, one can make a well-informed prediction.

Smart TVs these days are commonly built with a 16:9 aspect ratio, indicating that the width is equivalent to 16 units in proportion to every 9 units of height.

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Lainey can continue to descend for at most 3.61 minutes without going deeper than 73 feet.

We can use the following inequality to find the number of minutes Lainey can continue to descend without going more than 73 feet below the ocean surface:

28t - 28 ≤ 73

Here, t represents the number of minutes Lainey can continue to descend. The left-hand side of the inequality represents the depth Lainey will be at after descending for t minutes, assuming she starts at a depth of 28 feet and descends at a rate of 28 feet per minute. We want this depth to be less than or equal to 73 feet, so that Lainey does not go too deep.

To solve the inequality for t, we first add 28 to both sides:

28t ≤ 101

Then, we divide both sides by 28:

t ≤ 3.61

Therefore, Lainey can continue to descend for at most 3.61 minutes without going deeper than 73 feet. Note that this answer assumes Lainey starts her descent from a depth of 28 feet and does not ascend during the time period in question.

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Answer:

Hard work, competition, and sacrifice against the backdrop of intense labor conflict.

Therefore, we have found that LY = 18 units, MY = 21.5 units, and ZY = 10 units.

Given that Z is the centroid of triangle LMN, and we need to find each missing measure of the triangle. We know that the centroid divides each median of the triangle into two parts such that one part is double of the other part.

Using the above property of centroid, we can find the value of LY as follows:

ZY = 10

(Given)

ZL = ZN + NY => NY = ZL - ZN (1)

Also, LY = 2 NY => NY = LY/2 (2)

From equation (1) and (2), we get:

LY/2 = ZL - ZN => LY/2 = (14 + 4)/2 => LY/2 = 9 => LY = 18

From the above derivation, we have found that LY = 18 units.

Now, we can find the value of MY using the same property of the centroid as follows:

ZX = 2 XM => XM = ZX/2 => XM = 14/2 = 7

Also,

LM = 2 LY => LM = 2 x 18 = 36

Therefore, MN = LM

Now, MN = MY + YN => 36 = MY + YN => YN = 36 - MY

Therefore, MY = XM + YN => MY = 7 + (36 - MY) => MY + MY = 43 => 2 MY = 43 => MY = 43/2

Thus, MY = 21.5 units.

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To draw a distance-time graph to show Don's journey, we need to follow the following steps:Step 1: Convert time to hours45 minutes = 0.75 hours90 minutes = 1.5 hours2 pm to 3:45 pm = 1.75 hours3:45 pm to 5:15 pm = 1.5 hoursStep 2: Calculate the distance Don's journey can be divided into three parts.

The distance covered in each part is as follows: Part 1: Don drives for 45 minutes. Since he does not mention the speed, we assume that he drives at a constant speed of 60 miles/hour. Therefore, the distance covered in the first part = 60 x 0.75 = 45 miles. Part 2: Don stops for 90 minutes. He does not move during this time, so the distance covered in the second part is 0 miles. Part 3: Don drives back home. We are given that he drives at an average speed of 15 miles/hour. Therefore, the distance covered in the third part = 15 x 1.5 = 22.5 miles. Step 3: Plot the graph The x-axis represents time, and the y-axis represents distance. We plot the three parts as follows: Part 1: Plot a line from the origin to (0.75, 45).

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