Can someone help on this please? Thank you:)

Amilia has 20 times as many toothpicks as Tim. Tim has 3 tooth picks. Amilia has 60 tooth picks.

To determine how many times as many toothpicks Amilia has compared to Tim, we can divide the number of toothpicks Amilia has by the number of toothpicks Tim has.

Amilia has 60 toothpicks, while Tim has 3 toothpicks.

To calculate the ratio, we divide the number of toothpicks Amilia has by the number of toothpicks Tim has:

60 / 3 = 20

Therefore, Amilia has 20 times as many toothpicks as Tim. This means that the number of toothpicks Amilia has is twenty times greater than the number of toothpicks Tim has. It indicates a significant difference in the quantity of toothpicks possessed by the two individuals.

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The exact value of tangent (19π/12) is option C: StartFraction 3 minus StartRoot 3 EndRoot Over 3 + StartRoot 3 EndRoot EndFraction.

To find the exact value of tangent (19π/12), we can use the trigonometric identity:

tangent (θ) = sin (θ) / cos (θ).

First, let's find the values of sin (19π/12) and cos (19π/12).

Using the unit circle, we can determine that sin (19π/12) = -1/2 and cos (19π/12) = -√3/2.

Now we can substitute these values into the tangent formula:

tangent (19π/12) = sin (19π/12) / cos (19π/12) = (-1/2) / (-√3/2).

Simplifying the expression by multiplying the numerator and denominator by 2/√3:

tangent (19π/12) = (-1/2) * (2/√3) / (-√3/2) = (1/√3).

To rationalize the denominator, we multiply the numerator and denominator by √3:

tangent (19π/12) = (1/√3) * (√3/√3) = √3/3.

Therefore, the exact value of tangent (19π/12) is option C: StartFraction 3 minus StartRoot 3 EndRoot Over 3 + StartRoot 3 EndRoot EndFraction.

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The number of times Felipe's stamp collection is contained within his uncle Carlo's collection is 52.5 times.

Felipe has 36 stamps in his collection, and his uncle Carlo has 1890 stamps in his collection. To determine how many times Felipe's collection fits into Carlo's collection, we can divide the number of stamps Carlo has by the number of stamps Felipe has.

1890 / 36 = 52.5

Therefore, Felipe's stamp collection is contained within his uncle Carlo's collection approximately 52.5 times.

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The average height is 1.4m and the total height of the other three children is given by T = 2.95 m

Given data,

To find the total height of the other three children, we first need to determine the combined height of Nosiku, Naza, and Tom.

Given that the average height of Nosiku, Naza, John, and Tom is 1.4m, and John's height is 1.25m, we can calculate the total height of the other three children as follows:

Total height of the other three children = Average height * Number of children - John's height

Total height of the other three children = ( 1.4m x 3 ) - 1.25m

T = 4.2m - 1.25m

T = 2.95m

Hence , the total height of the other three children (Nosiku, Naza, and Tom) is 2.95 meters.

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The scientists compared the saliva and sweat when people did two activities to determine if the brain can smell fear. These activities are skydiving and lying.

The question is about the experiment conducted by scientists to determine if the brain can smell fear. The study was conducted by scientists who measured the saliva and sweat of people who were skydiving and lying to determine if the brain can smell fear. The human brain reacts differently to fear, and scientists wanted to study this reaction by monitoring the reactions of people who were afraid. They discovered that the brain can smell fear by analyzing the chemical changes in the sweat and saliva of people who were afraid. Sweat and saliva are two of the primary ways that the human body releases chemicals, including hormones. The sweat and saliva of people who were skydiving and lying were analyzed to determine if there was a chemical reaction to fear. The scientists discovered that the chemical composition of sweat and saliva changes when a person is scared. This discovery led them to conclude that the brain can smell fear.

The results of this study will help scientists better understand how the human brain reacts to fear and how it can help us to protect ourselves.

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The angle of the sun above the horizon when a person 5.94 ft tall casts a shadow 9.74 ft long is approximately 34.45 degrees.

To find the angle, we can use the concept of similar triangles. The person's height, the length of the shadow, and the distance between the person and the tip of the shadow form a right triangle.

Let's denote the angle of the sun above the horizon as "θ". We can use the tangent function to find the angle:

tan(θ) = opposite/adjacent

In this case, the opposite side is the person's height (5.94 ft) and the adjacent side is the length of the shadow (9.74 ft).

tan(θ) = 5.94/9.74

To find the angle θ, we can take the inverse tangent (arctan) of both sides:

θ = arctan(5.94/9.74)

Using a calculator, we can evaluate this expression to find that θ is approximately 34.45 degrees.

Therefore, the angle of the sun above the horizon when a person 5.94 ft tall casts a shadow 9.74 ft long is approximately 34.45 degrees.

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The correct symbol to make the statement true is: -56 < -55

To make the statement true, we need to choose the correct symbol between -56 and -55.

The options are:

-56 > -55 (greater than)

-56 < -55 (less than)

-56 = -55 (equal to)

-56 ≥ -55 (greater than or equal to)

-56 ≤ -55 (less than or equal to)

In this case, the correct symbol to make the statement true is:

-56 < -55

Therefore, the correct statement is: -56 < -55.

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Let's solve the problem step by step:

1. Alexa was riding her motorcycle on a freeway at 480 kilometers north of her exit.

2. She was riding south toward the exit at a constant velocity.

3. It took her 2 hours to get one quarter of the way to her exit.

Let's denote Alexa's velocity as [tex]\(v\)[/tex] (in kilometers per hour) and the total distance to her exit as [tex]\(D\)[/tex] (in kilometers).

According to the information given, Alexa traveled one quarter of the total distance in 2 hours. This can be represented by the equation:

[tex]\(\frac{1}{4} \times D = v \times 2\)[/tex]

Simplifying this equation, we have:

[tex]\(\frac{D}{4} = 2v\)[/tex]

Next, we know that Alexa started 480 kilometers north of her exit. So the total distance to her exit is:

[tex]\(D = 480 + \text{distance traveled}\)[/tex]

Substituting this expression for [tex]\(D\)[/tex] into our equation, we get:

[tex]\(\frac{480 + \text{distance traveled}}{4} = 2v\)[/tex]

Simplifying further:

[tex]\(120 + \frac{\text{distance traveled}}{4} = 2v\)[/tex]

From this equation, we can see that the velocity [tex]\(v\)[/tex] is independent of the distance traveled. Therefore, the velocity [tex]\(v\)[/tex] remains constant.

To determine the exact value of [tex]\(v\)[/tex], we need more information about the distance traveled by Alexa.

Please provide the additional information, such as the distance traveled or the time taken to cover a specific distance, to calculate the velocity accurately.

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The equivalent expression that combines like terms for the new price of the item is b(0.57).

To write an equivalent expression by combining like terms for the new price of the item with a 43% discount, we can simplify the expression b - 0.43b.

First, let's understand the given expression: b represents the original price of the item, and 0.43b represents the amount of the discount (43% of the original price).

To combine like terms, we can factor out the common term 'b' from both terms in the expression:

b - 0.43b = b(1 - 0.43).

Next, we can simplify the expression within the parentheses:

1 - 0.43 = 0.57.

Finally, substituting the simplified expression back into the original equation, we get:

b - 0.43b = b(0.57).

Therefore, the equivalent expression that combines like terms for the new price of the item is b(0.57).

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The calculted ratio of the side lengths is 2 : 3

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

Using the above as a guide, we have the following:

Ratio = Smaller box : Larger box

So, we have

Ratio = 12 inches : 18 inches

Simplify the ratio

Ratio = 2 : 3

Hence, the ratio is 2 : 3

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Question

A company is experimenting with two new boxes for packaging merchandise. Each box is a cube with the side lengths shown. (smaller box is 12 in, larger box is 18 in.)

What is the ratio of the side lengths of the smaller box to the side lengths of the larger box in lowest terms?

3. -38: Sarah's bank account balance is -$38, indicating that she has overdrafted and owes the bank money.

The integer -38 can be represented in a real-life situation where Sarah's bank account balance is negative, indicating an overdraft.

In this scenario, the negative integer -38 represents a negative bank account balance. When Sarah checks her bank account, she sees that her balance is -$38. This means that she has overdrafted her account and owes the bank $38. The negative sign indicates a deficit or debt in this real-life situation. Sarah will need to deposit funds into her account to bring her balance back to positive and clear her debt to the bank.

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Marcus ends up paying $37.70 for the two shirts. To calculate the final price Marcus pays for the shirts, we need to follow these steps:

Calculate the discounted price of each shirt: Since the shirts are on a 30% off rack, the discounted price of the first shirt is 0.70 * $28.99 = $20.29, and the discounted price of the second shirt is 0.70 * $30.29 = $21.20.

Calculate the total cost of the shirts before tax: The total cost of the two shirts is $20.29 + $21.20 = $41.49.Apply the additional 10% off discount: To calculate the final price after the additional discount, we need to subtract 10% from the total cost. 10% of $41.49 is 0.10 * $41.49 = $4.15. Subtracting this amount from the total cost gives us $41.49 - $4.15 = $37.34.

Add the sales tax: To calculate the final price including the 6% sales tax, we need to add 6% of $37.34 to the total cost. 6% of $37.34 is 0.06 * $37.34 = $2.24. Adding this amount to the total cost gives us $37.34 + $2.24 = $39.58.

Rounding to the nearest cent, Marcus ends up paying $39.59 for the two shirts. Therefore, the correct answer is option a. $39.59.

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A combination of the sum of two complex numbers is 15 - 19i

To find the sum of two complex numbers, add their real parts separately and add their imaginary parts separately.Now, we need to find the sum of the following complex numbers.

(-4i) + (10 - 5i) -3

5i -3 - 5i

6 - 4i 6 - 6i

Add the real parts, which are (-4) and 10.

Therefore, the real part is (10 - 4) = 6.

Add the imaginary parts, which are (-5) and (-3).

Therefore, the imaginary part is (-5 - 3) = -8.

Thus, the sum of (-4i) and (10 - 5i) is 6 - 8i.

Now, we need to find the sum of the following complex numbers.

(-3 − 5i) + (6 − 4i) + (6 − 6i)

First, we add (-3 − 5i) and (6 − 4i) to find the sum.

(−3 − 5i) + (6 − 4i) = (3 − 5i)

Then we add (3 − 5i) and (6 − 6i) to find the sum.

(3 − 5i) + (6 − 6i) = 9 − 11i

Therefore, the sum of (-3 - 5i), (6 - 4i) and (6 - 6i) is 9 - 11i.

Now we have to write our answer as a combination of the sum of two complex numbers, which we found earlier.

6 - 8i + 9 - 11i = 15 - 19i

Thus, the final answer is 15 - 19i.

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Answer:

Precise measurements and calculations are necessary to achieve the desired pH of 12.00.

Step-by-step explanation:

To convert a sodium hydroxide solution with a pH of 13.00 to a pH of 12.00, you would need to decrease the concentration of hydroxide ions (OH-) in the solution. One way to achieve this is by diluting the solution with a neutral solvent, such as water.

Here's a step-by-step process:

Determine the volume of the sodium hydroxide solution you want to prepare with a pH of 12.00. Let's assume you want to prepare 100 mL of the new solution.

Calculate the amount of water needed to dilute the solution. Since you want to decrease the concentration of hydroxide ions, you need to add water. The amount of water needed depends on the desired concentration and the initial concentration.

pH is a logarithmic scale, so the difference in pH values represents a 10-fold difference in concentration. Since the pH is decreasing from 13.00 to 12.00, you need to dilute the solution by a factor of 10.

Therefore, to dilute 100 mL of the sodium hydroxide solution by a factor of 10, you would need to add 900 mL of water.

Mix the sodium hydroxide solution with the calculated amount of water. Ensure thorough mixing to obtain a homogeneous solution.

By diluting the sodium hydroxide solution with water, you decrease the concentration of hydroxide ions, resulting in a lower pH value. However, it's important to note that pH is a logarithmic scale, so small changes in concentration can result in significant changes in pH.

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Fats that are highly unsaturated, such as polyunsaturated fats, are most susceptible to rancidity.

Rancidity refers to the deterioration of fats and oils, resulting in undesirable odors and flavors. The stability of fats, or their resistance to rancidity, is influenced by their degree of unsaturation.

1. Fats are composed of fatty acids, which can be classified as saturated, monounsaturated, or polyunsaturated based on the presence of double bonds between carbon atoms in their chemical structure.

2. Saturated fats have no double bonds and are the most stable, as the absence of double bonds makes them less susceptible to oxidation and rancidity.

3. Monounsaturated fats have one double bond, which introduces some susceptibility to rancidity but to a lesser extent than polyunsaturated fats.

4. Polyunsaturated fats have multiple double bonds, making them the most susceptible to rancidity. The presence of multiple double bonds provides more sites for oxidation, leading to increased chemical reactivity and the potential for rancid flavors and odors to develop.

5. Common examples of polyunsaturated fats include vegetable oils such as soybean oil, corn oil, and sunflower oil. These oils are often stored in dark bottles and refrigerated to slow down the oxidation process and extend their shelf life.

In summary, fats that are highly unsaturated, particularly polyunsaturated fats, are the most susceptible to rancidity due to the presence of multiple double bonds, which increase their susceptibility to oxidation and degradation.

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The  statement is d) Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.

The figure shows a pair of parallel line segments on a coordinate grid: Line segment GH runs from (-1, -1) to (3, -1), and line segment EF runs from (-1, -2) to (3, -2).

To determine the characteristics of line segments E'F' and G'H' after being translated 2 units to the right, we need to apply the translation to the endpoints of the original line segments.

Applying a translation of 2 units to the right:

Endpoint E: (-1, -2) + (2, 0) = (1, -2)

Endpoint F: (3, -2) + (2, 0) = (5, -2)

Endpoint G: (-1, -1) + (2, 0) = (1, -1)

Endpoint H: (3, -1) + (2, 0) = (5, -1)

Now, let's analyze the statements:

a) Line segments E'F' and G'H' do not intersect and are closer together than EF and GH.

  This statement is false. E'F' and G'H' do not intersect, but they are not closer together than EF and GH. They are actually farther apart.

b) Line segments E'F' and G'H' intersect at (-2, 0) and are two times farther apart than EF and GH.

  This statement is false. E'F' and G'H' do not intersect at (-2, 0). They have different coordinates for their endpoints.

c) Line segments E'F' and G'H' intersect at (0, -2) and are two times closer together than EF and GH.

  This statement is false. E'F' and G'H' do not intersect at (0, -2). They have different coordinates for their endpoints.

d) Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.

  This statement is true. E'F' and G'H' do not intersect, and they have the same distance between them as EF and GH.

Therefore, the correct statement is d) Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.

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The reciprocal of -0.06 is 1666.7.

To calculate the reciprocal of -0.06, we can use the definition of a reciprocal, which states that the reciprocal of a number is 1 divided by that number.

Reciprocal = 1 / Number

In this case, the number is -0.06. Therefore, we have:

Reciprocal = 1 / (-0.06)

To simplify, we can multiply both the numerator and the denominator by -100 to remove the decimal point:

Reciprocal = -100 / (-0.06)

Simplifying further, the negative signs cancel out:

Reciprocal = 100 / 0.06

Now, we can perform the division:

Reciprocal ≈ 1666.6667

Rounding to one decimal place, the reciprocal of -0.06 is approximately 1666.7.

The reciprocal of a number is the value that, when multiplied by the original number, yields a product of 1. In this case, if we multiply -0.06 by its reciprocal (1666.7), the result would be very close to 1 (-0.06 * 1666.7 ≈ -0.9999).

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Software development methodologies are methods and approaches used to plan, organize, and manage the process of creating software.

They provide a framework for dividing tasks, setting guidelines, and implementing techniques to enhance the development process and improve the quality of software products.

Software development methodologies encompass a range of approaches and practices that guide the development lifecycle. They help teams structure their work, allocate resources, and establish communication channels to efficiently deliver software projects.

Common software development methodologies include:

Waterfall: A sequential approach where each phase of the development cycle is completed before moving on to the next.

Agile: Emphasizes flexibility and adaptability by breaking the project into iterative and incremental cycles, allowing for frequent product releases and continuous feedback.

Scrum: An Agile framework that focuses on collaboration, self-organization, and delivering value in short iterations called sprints.

Kanban: A visual system that tracks the flow of work and limits work in progress to improve efficiency and throughput.

Lean: A methodology that aims to eliminate waste, optimize resources, and continuously improve the software development process.

These methodologies, among others, provide guidelines, tools, and techniques to manage the software development process effectively, ensuring better product outcomes, stronger project management, and more frequent product deliveries when appropriate.

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Adrienne invested $1200 in account A and $1600 in account B.

Let's set up a system of equations to represent the given information. We are given that the total amount invested is $2800, so we have the equation a + b = 2800.

The interest earned from account A is given as 39% of the amount invested in account A, which can be represented as 0.39a.

Similarly, the interest earned from account B is 5% of the amount invested in account B, represented as 0.05b. The total interest earned is $128, so we have the equation 0.39a + 0.05b = 128.

Solving this system of equations can be done using various methods, such as substitution or elimination. One way to solve is by substitution.

From the first equation, we can solve for a in terms of b: a = 2800 - b. Substituting this into the second equation, we get 0.39(2800 - b) + 0.05b = 128.

Simplifying and solving for b, we find b = $1600. Substituting this value back into the first equation, we get a = $1200.

Therefore, Adrienne invested $1200 in account A and $1600 in account B.

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To show that the lorry is traveling below the speed limit, we need to convert its speed from meters per second to kilometers per hour and compare it to the speed limit of 50 km/h.

The lorry's speed is given as 13.6 m/s. To convert this to kilometers per hour, we multiply it by the conversion factor: Speed (km/h) = Speed (m/s) * (3.6 km/h) = 13.6 * 3.6 = 48.96 km/h. Comparing the lorry's speed of 48.96 km/h to the speed limit of 50 km/h, we can see that the lorry is traveling below the speed limit.

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The number of ways to get from York to Sunfield is 105. To calculate the total number of ways, we multiply the number of choices at each step along the way.

We start at York and need to reach Sunfield. We have 3 options for the first step, as there are 3 roads leading from York to Castle. After reaching Castle, we have 5 options for the second step, as there are 5 roads leading from Castle to Oakville. Finally, from Oakville to Sunfield, we have 7 options for the third step.

To determine the total number of ways to get from York to Sunfield, we multiply the number of choices at each step. Multiplying 3 options for the first step, 5 options for the second step, and 7 options for the third step gives us: 3 * 5 * 7 = 105.

Therefore, there are 105 ways to travel from York to Sunfield, considering all the possible combinations of roads.

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The value of the variable x in the given figure is given by 19.1 ft.

Here in the given picture the given two triangles are similar triangles.

For the similar triangles, the ratios of the similar sides are equal.

So here the side with 9.3 ft of first triangle is similar with the side with x ft and the side of 1.7 ft of first triangle is similar with the side with 3.5 ft.

By the condition then,

x/9.3 = 3.5/1.7

x = 9.3 * (3.5 / 1.7) = 19.1 [rounding off to the nearest first decimal place]

Hence the value of x in the given figure is 19.1 ft.

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The question is incomplete. The complete question will be -

The value of AB is [76 + 2x]/3.

Given that d is the midpoint of AB and e is the midpoint of AC.

We are to find the value of AB.

Let the length of AB be x.

So, AD = 8 and DB = x - 8.

Also, AE = x - 8 and EC = x + 8. It is given that

BC = 22. So, AC = 2 * EC = 2 (x + 8) = 16 + 2x.

Similarly, AB = 2 * DB = 2 (x - 8) = 2x - 16.

It is also given that AB : school = 2 : 3

Thus, AB/School = 2/3 => School = (3/2) * AB

Also, AB + AC + BC = School + School = 2School

So, x + 16 + 22 = 2 * (3/2) * AB38 + x = 3 * AB/2 => 2(38 + x) = 3 * ABAB = [2(38 + x)]/3AB = [2(38 + x)]/3 = [76 + 2x]/3

Therefore, the value of AB is [76 + 2x]/3.

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The total number of pennies on Rows 1-4 (the first 32 squares) is 232. The content loaded formula can be used to calculate the total number of pennies on the Rows 1-4 of the first 32 squares.

formula = 2^(n-1) + 2^(n-2) + 2^(n-3) + 2^(n-4) + 2^(n-5) + ……+ 2^1 + 2^0Where n = the number of rows The first four rows of the chessboard have 2^(4-1) = 8, 2^(4-2) = 4, 2^(4-3) = 2, and 2^(4-4) = 1 pennies respectively .The total number of pennies on the first 32 squares (Rows 1-4) is calculated using the following formula; Total = 8 + 4 + 2 + 1 = 15For the first four rows (the first 32 squares), the total number of pennies is 15. Hence, the correct option is 15.

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L ≈ 35.8 ,the length of the arc to the nearest tenth is 35.8 units

The formula for calculating the length of an arc intercepted by a central angle is L=, where L is the arc's length,  is the circle's radius, and  is the central angle in radians. The length of the arc to the nearest tenth is 35.8 units. Given, In a circle with radius r = 6.5, an angle measuring  = 5.5 radians intercepts an arc. We know that the formula for calculating the length of an arc intercepted by a central angle is L=, where L is the arc's length,  is the circle's radius, and  is the central angle in radians. Substituting the values in the formula, we get:

L = rL = 6.5(5.5)L = 35.75 ≈ 35.8 (to the nearest 10th)

Therefore, the length of the arc to the nearest tenth is 35.8 units.

In a circle, the length of an arc intercepted by a central angle is determined by the central angle's size and the circle's radius. This is known as the arc's length formula. L=where L is the arc length,  is the radius of the circle, and  is the central angle in radians. We can use this formula to find the length of an arc intercepted by a central angle in a circle. Let's consider the following illustration to understand the concept better. In a circle with a radius of 6.5, an angle of 5.5 radians intercepts an arc. We'll use the arc length formula to find the arc's length, L.L= (Length of arc formula)Substitute the given value of r and  in the formula. L = 6.5 × 5.5L = 35.75The length of the arc is 35.75 units. We'll round this answer to the nearest tenth to get the final answer. L ≈ 35.8Therefore, the length of the arc to the nearest tenth is 35.8 units.

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The Fahrenheit temperature of 100°C is 212°F. So, we can put the given Celsius temperature in the above formula:F = 9/5(100) + 32F = 180 + 32F = 212°FTherefore, the Fahrenheit temperature of 100°C is 212°F.

Given, Celsius temperature c = 100°FTo find Fahrenheit temperature, we can use the formula:F = 9/5C + 32Put the given Celsius temperature into the formula:F = 9/5(100) + 32F = 180 + 32F = 212°F. Therefore, the Fahrenheit temperature of 100°C is 212°F.

We know that the formula for converting Celsius to Fahrenheit is given by:F = 9/5C + 32Where, F is the temperature in Fahrenheit and C is the temperature in Celsius.Water boils at 100°C. So, we need to find the Fahrenheit temperature when Celsius temperature is 100°F.So, we can put the given Celsius temperature in the above formula:F = 9/5(100) + 32F = 180 + 32F = 212°FTherefore, the Fahrenheit temperature of 100°C is 212°F.

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Given the figure, we have to find the value of y.Using the angle sum property of a quadrilateral, we know that the sum of angles in a quadrilateral is 360 degrees.

Therefore:

∠A + ∠B + ∠C + ∠D = 360°

We know that

∠A = 600°,

∠B = 120°, and

∠C = 100°

∠A + ∠B + ∠C + ∠D = 360°

600° + 120° + 100° + ∠D = 360°

820° + ∠D = 360°

∠D = 360° - 820°

∠D = -460°

Since angle D is not possible to be negative, we know that there must be a mistake in the diagram. We need to make sure that the figure is correct before we can find the value of y.

Therefore, the value of y cannot be determined with the information given in the figure.

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When rolling a number cube four times, the probability of obtaining an even number in three of the four rolls is 1/4.

To calculate the probability that a number cube will land on an even number three out of four rolls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes when rolling a number cube four times is 6^4, which is equal to 1,296. This is because each roll has six possible outcomes (numbers 1 to 6), and the rolls are independent events, so we multiply the number of outcomes for each roll.

Now, let's consider the favorable outcomes. We want the cube to land on an even number three out of four times. There are two cases that satisfy this condition: either the first, second, and third rolls are even, or the second, third, and fourth rolls are even.

Case 1: First, second, and third rolls are even.

The probability of rolling an even number on a single roll is 3/6, or 1/2 since there are three even numbers (2, 4, and 6) out of six total numbers on the cube.

So, the probability of the first, second, and third rolls being even is (1/2) * (1/2) * (1/2) = 1/8.

Case 2: Second, third, and fourth rolls are even.

Again, the probability of rolling an even number on a single roll is 1/2.

So, the probability of the second, third, and fourth rolls being even is (1/2) * (1/2) * (1/2) = 1/8.

Now, we need to add the probabilities from both cases because we are interested in the probability of either of these events occurring:

1/8 + 1/8 = 2/8 = 1/4.

Therefore, the probability that the cube will land on an even number three out of four rolls is 1/4.

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The discounted-price of the game system is $154.00, given the original-cost of a video game system is $175 and Raymond works in an electronics store and gets a 12 percent employee discount.

The discounted price, we need to find 12% of $175 which is equal to: [tex]\frac{12}{100}\times175=21[/tex]

The employee discount is $21.

We need to subtract this discount from the original cost:

175 - $21 = 154

So, the discounted price of the game system is $154.00.

Therefore, the correct option is $154.00

The discounted price of the game system is indeed $154.00.

The original cost of the game system is $175, and

Raymond receives a 12% employee discount.

We calculate 12% of $175, which is $21.

By subtracting this discount from the original cost, we get $154.00, which is the final discounted price.

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The average rate of change in the number of crimes per 1000 people in a certain city from 1920 to 1970 was a decrease of 0.1 crimes per 1000 people per year.

To find the average rate of change, we can use the formula:

Average rate of change = (final value - initial value) / (final year - initial year)

In this case, the initial value is 45.3 crimes per 1000 people in 1920, and the final value is 44.3 crimes per 1000 people in 1970. The initial year is 1920, and the final year is 1970.

Substituting the values into the formula, we get:

Average rate of change = (44.3 - 45.3) / (1970 - 1920)

= (-1) / 50

= -0.02 crimes per 1000 people per year

Therefore, the average rate of change in the number of crimes per 1000 people from 1920 to 1970 is a decrease of 0.02 crimes per 1000 people per year. This means that, on average, the number of crimes per 1000 people decreased by 0.02 every year during that period.

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