Mathematics High School

## Answers

**Answer 1**

The **speed **at the **bottom** is 15.3 m/s. Option C

How to determine the value

We need to know that speed is described as the ratio of the distance to the time taken for movement from rest.

The formula for calculating the **speed** of a **projectile** from rest is expressed as;

V = [tex]\sqrt{2gh}[/tex]

Such that the parameters are expressed as;

V is the velocityg is the acceleration due to gravityh is the **height**

Now, substitute the values, we have;;

V = √2 ×9.8 ×12

Multiply the values, we get;

V = √235.2

find the square root value, we get;

V = 15. 2 m/s

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## Related Questions

A cone has surface area 360π in2 and volume 800π in3. The cone is dilated, and the surface area of the dilated cone is 2,250π in2. What is the dilated cone's volume?

### Answers

This means that the height, radius, and volume of the dilated cone are 2.5 times larger than the corresponding **dimensions **of the original cone.

What is the equation of the line that passes through the points (2, 4) and (-1, 6)?

To find the volume of the dilated cone, we can use the concept of similarity.

The ratio of the surface areas of similar objects is equal to the square of the ratio of their **corresponding **dimensions.

In this case, the surface area of the dilated cone is 2,250π in², which is 6.25 times larger than the surface area of the original cone (360π in²).

Since the surface area is **proportional **to the square of the dimensions, the dimensions of the dilated cone are √6.25 times larger than the dimensions of the original cone. Let's calculate the scale factor for the dimensions:

√6.25 = 2.5

The **original cone** has a volume of 800π in³. Multiplying it by the scale factor (2.5) cubed gives us the volume of the dilated cone:

Volume of dilated cone = (2.5)³ ˣ 800π in³

= 15.625 ˣ 800π in³= 12,500π in³

Therefore, the dilated cone's volume is 12,500π in³.

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Question 7

Find the roots of the quadratic trinomial 4x2 = 14x + 8.

### Answers

**Answer:**

x = 4,-0.5

**Step-by-step explanation:**

There are many methods to solve for the roots of a quadratic trinomial.

A simple method is to use quadratic formula which is :

x = ( -b ± √( b^2 - 4ac ) ) / ( 2a )

These a's, b's and c's represent the coefficients in the equations shown below

a[tex]x^{2}[/tex] + bx + c = 0

To solve for the roots we need to put our current equation in the form above :

4x^2 - 14x - 8 = 0

Then if we insert these numbers into the quadratic formula we get:

x = ( 14 ± √( 196 - 4(4)(-8) ) ) / ( 2(4) ) --->

x = ( 14 ± √(324 ) ) / ( 8 ) --->

x = (14 ± 18) ) / ( 8 )

Since there is a plus or minus sign, there will be 2 solutions

One being x = 32/8 = 4

Another being x = -4/8 = -0.5

On the occasion of Bishwant's birthday, he distributed 24 snikers and 36 cadburies equally to his friends. What are the possible numbes of friends to whom the cadburies and snikers can be equally distributed

### Answers

Based on the **common factors** of 24 and 36, the possible numbers of friends to whom the cadburies and snikers can be equall distributed include 2, 3, 4, 6 and 12.

What are common factors?

**Common factors** of two numbers are the numbers that can divide them equally without leaving a **remainder**.

Common factors are **quotients** obtained from the division of a number when there is no remainder.

The number of snikers distributed at Bishwant's birthday = 24

The number of cadburies distributed equally at Bishwant's birthday = 36

The **common factors** of 24 and 36 are 2, 3, 4, 6 and 12 because each of the five numbers can divide 24 and 36 without a **remainder**.

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It is feasible to distribute the** Snickers **and Cadbury chocolates evenly to the following numbers of** friends**: 1, 2, 3, 4, 6, and 12.

To solve this problem

We must determine the 24 and 36 **common factors.**

The numbers 1, 2, 3, 4, 6, 8, 12, and 24 make up the number 24.

1, 2, 3, 4, 6, 9, 12, 18, and 36 make up the number 36.

The total number of friends must be a common factor of both 24 and 36 in order to distribute the chocolates equitably. 1, 2, 3, 4, 6, and 12 are the **common factors**.

Therefore, It is feasible to distribute the **Snickers **and Cadbury chocolates evenly to the following numbers of friends: 1, 2, 3, 4, 6, and 12.

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A diagonal of a cube measures 15 cm and the length of an edge of the cube is StartRoot 75 EndRoot cm. What is the length of the diagonal of a face of the cube? Round to the nearest tenth. 7. 1 cm 12. 2 cm 13 cm 15 cm.

### Answers

The length of the **diagonal **of a face of the **cube** is 12.2 cm.

In a cube, the length of the diagonal of a face can be found using 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. In this case, the diagonal of the face forms the hypotenuse of a right-angled triangle, and the length of an edge of the cube forms one of the other sides. Given that the **length** of an edge of the cube is √75 cm, we can calculate the length of the diagonal of the face using the Pythagorean theorem: (length of diagonal of face)^2 = (length of edge)^2 + (length of edge)^2. Solving for the length of the diagonal of the face gives us √(2*(√75)^2) = √(2*75) = √150 ≈ 12.2 cm.

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Rachel was pouring milk into an 8-inch-tall cylindrical containershe used the formula v = pi * r ^ 2 * h to calculate the cylinder's volume which rachel found to be 231 cubic inches of liquid. what would be the most accurate measurement for the radius of the container of milk?

### Answers

By rearranging the volume formula and substituting the known values, the **radius **of the milk container can be calculated as approximately 4.16 inches.

** What would be the most accurate measurement for the radius of the milk container?**

To find the most accurate measurement for the radius of the **milk container**, we can rearrange the volume formula and solve for the radius.

The formula for the volume of a cylinder is V = π ˣ r² ˣ h, where V is the volume, π is pi (approximately 3.14159), r is the radius, and h is the height.

In this case, the volume V is given as 231** cubic inches** and the height h is 8 inches.

Rearranging the formula, we have 231 = π ˣ r² ˣ 8. By substituting the known values and solving for r, we can find the most accurate measurement for the radius of the milk container.

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PLS HELP

Which of the following could be an algebraic expression for the total cost of dinner, less a $20 coupon, divided by 5 people?

05x - 20

O(x-20)+5

O20-5x

O 5x(20)

### Answers

**Answer:**

**Step-by-step explanation:**

(x - 20) ÷ 5.

The number of eggs mia can sell varies directly with the number of chickens she owns. the more hens she owns, the more eggs she can sell. if she has 38 eggs each week when she owns 6 chickens, then how many eggs will she get if she has 15 chickens?

a. 90 eggs

b.15 eggs

c. 480 eggs

d. 95 eggs

### Answers

Therefore, Calculate the result, y = 19 × 5, y = 95. So, when **Mia** has 15 **chickens**, she can sell 95 eggs.

First, let's establish the relationship between the number of chickens and the number of **eggs **Mia can sell. Since the number of eggs varies directly with the number of chickens, we can write an equation in the form of y = k x, where y is the number of eggs, x is the number of chickens, and k is the** **constant** **of **proportionality**.

We know that when Mia owns 6 chickens, she can sell 38 eggs (y=38, x=6). Plug these values into the **equation** to find the constant, k:

38 = k × 6

k = 38 / 6

k = 19 / 3

Now, to find the number of eggs Mia can sell when she has 15 chickens (x=15), plug the **value** of k and x into the equation:

y = (19 / 3) × 15

Therefore, Calculate the result, y = 19 × 5, y = 95. So, when **Mia** has 15 **chickens**, she can sell 95 eggs.

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Marsha scored 92, 81, 98, and 84 on his first four Math quizzes. What score does

Marsha need to get on her fifth quiz to have an average of exactly 90 on her Math

quizzes?

### Answers

To determine the score Marsha needs to achieve on her fifth quiz to have an **average **of exactly 90 on her **Math **quizzes, we can follow these steps:

Calculate the sum of Marsha's scores on the first four quizzes:

92 + 81 + 98 + 84 = 355

Determine the total number of quizzes Marsha has taken, which is 4.

Calculate the desired total average by **multiplying **the desired average (90) by the total number of quizzes (5):

90 * 5 = 450

Determine the score Marsha needs to achieve on her fifth quiz by subtracting the sum of her previous scores from the desired total average:

450 - 355 = 95

Therefore, Marsha needs to score 95 on her **fifth **quiz to have an average of exactly 90 on her Math **quizzes**.

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The probability of rolling a fair 6-face die can be described as a function P(x) = 1/6, for x=1,2,3,4,5, and 6 dots, and P(x)=0 for any other x values. What is the probability of x≥3. 5? (Write the answer as a decimal)

### Answers

The **probability** of rolling a number greater than or equal to 3 on a fair 6-face** die** is 4/6 or approximately 0.67.

To calculate the probability of x≥3, we need to **sum** the probabilities of rolling a 3, 4, 5, or 6.

Since the die is fair, each of these **outcomes** has a probability of 1/6. Thus, the probability of rolling a number greater than or equal to 3 is

(1/6) + (1/6) + (1/6) + (1/6) = 4/6.

Simplifying 4/6, we get 2/3.

Converting this **fraction** to a **decimal**, we divide 2 by 3, resulting in approximately 0.67.

Therefore, the probability of rolling a number greater than or equal to 3 on a fair 6-face die is approximately 0.67.

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As phoebe is leaving, what does analogy does uncle venner use regarding phoebe?

likens her to eve in the garden of eden c. likens her to one of god's angels

b. likens her to the dark forces of evil

d. likens her to the serpant in the garden

### Answers

In the **story**, Uncle Venner likens **Phoebe **to Eve in the Garden of Eden. He does so by referring to her departure as a "Fall," similar to Eve's fall from grace in the biblical story. This analogy suggests that Phoebe, like Eve, has been tempted and lured away from a state of innocence or purity.

By using this comparison, Uncle **Venner **is also implying that Phoebe is a symbol of female temptation and seduction, which is a common theme in many literary works. Overall, this analogy highlights the idea of temptation and the consequences of giving in to it, which is a theme that is explored throughout the story of The House of the Seven Gables.

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Which type of solutions contain equal [h30+] and [oh-]?

### Answers

A** neutral** solution contains equal concentrations of [H3O+] and [OH-].

This is because the concentration of these ions determines the acidity or basicity of a solution. In a neutral solution, the pH is 7.0 and the [H3O+] and [OH-] **concentrations** are both 1.0 x 10^-7 M. If the pH is lower than 7.0, the solution is acidic and [H3O+] is greater than [OH-]. Conversely, if the pH is higher than 7.0, the solution is basic and [OH-] is greater than [H3O+]. It is important to note that the concentration of these ions can change with temperature and other factors, leading to changes in acidity or basicity. Neutral solutions contain equal concentrations of [H3O+] and [OH-] ions. In these solutions, the balance between acidic and basic species is maintained, resulting in a pH of 7 at 25°C. This **equilibrium** is important for maintaining stable chemical conditions in various systems, including biological and environmental processes. Examples of neutral solutions include pure water and other substances with equal amounts of acidic and basic components.

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Find the indicated limit , if it exists. Lim x 9 f(x),f(x)=\ matrix x+9&x<9\\ 27-x&x>=9

A. The limit does not exist

B. 18

C. 0

D. 9

### Answers

The **limit **from both sides is the same value of 18, the limit exists and is equal to 18. So, the correct answer is B. 18.

To find the indicated limit, we need to evaluate the limit of f(x) as x approaches 9. Since there are two cases in the definition of f(x), we will check the l**eft-hand** limit and the right-hand limit.

1. Left-hand limit (x < 9): lim (x -> 9-) f(x) = lim (x -> 9-) (x + 9)

2. Right-hand limit (x ≥ 9): lim (x -> 9+) f(x) = lim (x -> 9+) (27 - x)

As x approaches 9 from the left, the function is x + 9. So, the left-hand limit is 9 + 9 = 18.

As x approaches 9 from the right, the **function **is 27 - x. So, the right-hand limit is 27 - 9 = 18.

Since the left-hand limit and the right-hand limit are equal, the limit exists and is 18. Therefore, the answer is B. 18.

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Aasha, Biren and Cemal share $640 in the ratio 8:15:9

a) Show that Aasha receives $160/ Show your process

b) Calculate the amount that Biren and Cemal receive

c) Aasha uses her $160 to buy some books. Each book costs $15. 25 Find the greatest number of books that she can buy.

d) Biren spends 3/8 of his share on clothes and 1/3 of his share on a computer. Find the fraction of his share that he has left. Write your fraction in its lowets terms.

PLEASE HELPPPPPPP AS FAST AS POSSIBLE

### Answers

Therefore, **Biren **and Cemal get $(640 - $160) = $480. Let us **find **the share of Biren and Cemal in the ratio 15:9. Total ratio is 24. Share of Biren = (15/24) × $480 = $300 Share of Cemal = (9/24) × $480 = $180.

Therefore, Biren and Cemal receive $300 and $180 respectively.c) Aasha has $160 and she wants to buy books which costs $15. Therefore, she can buy a **maximum **of $160/$15 = 10.6 books.

Since she cannot buy a part of the book, she can buy a maximum of 10 books.d) Biren's share = 15/32 × 640 = $300Amount **spent **on clothes = 3/8 × $300 = $112.5

Amount spent on a computer = 1/3 × $300 = $100Left fraction = 1 - (3/8 + 1/3) = 1 - (9 + 8)/24= 1 - (17/24) = 7/24Therefore, Biren has 7/24 fraction of his share left. Answer:

So, the answer is:a) Aasha receives $160b) Biren and Cemal get $300 and $180 **respectively**.

c Aasha can buy a **maximum **of 10 books.d) Biren has 7/24 fraction of his share left.

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Tony has an 8 cm by 12 cm paper rectangle. he folds it in half three times, each time making a smaller rectangle. what is the least possible perimeter of the rectangle after the third fold, in cm?

### Answers

The least possible perimeter of the **rectangle **after the third fold is 14 cm.

What is the minimum perimeter achieved by folding the rectangle?

To calculate the least possible **perimeter **of the rectangle after the third fold, we need to determine how the dimensions change with each fold.

After the first fold, the rectangle is divided into two smaller rectangles with dimensions 8 cm by 6 cm each.

After the second fold, the rectangle is divided into two smaller rectangles with dimensions 4 cm by 6 cm each.

After the third fold, the rectangle is divided into two smaller rectangles with **dimensions **4 cm by 3 cm each.

To find the perimeter, we add up the lengths of all four sides of the rectangle:

[tex]4 cm + 3 cm + 4 cm + 3 cm = 14 cm.[/tex]

However, since the question asks for the "least" possible perimeter, we need to consider the folding process. When folding the paper, the sides may not necessarily align perfectly, resulting in overlapping or uneven edges.

In this case, the **overlapping **portion would not contribute to the perimeter. Thus, we exclude the overlapping portion and consider only the outer edges of the final folded rectangle.

The outer edges of the final folded rectangle after the third fold have a length of 4 cm + 3 cm + 4 cm + 3 cm = 14 cm.

Therefore, the least possible perimeter after the third fold is 14 cm.

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A plumber is needed to complete jobs in 9 different homes. The locations for the jobs are all close, the order does not matter when they are completed. How many orders can the repairs be made?

### Answers

The **repairs **can be made in 362,880 different **orders**.

To calculate the **number **of different orders in which the repairs can be made, we need to find the **factorial **of the number of homes (9 in this case). The factorial of a number is the product of all positive **integers **less than or equal to that number.

In this case, the factorial of 9 is 9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880. This means that there are 362,880 different orders in which the repairs can be completed.

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with solution all a and b A. Convert each temperature from degrees Celcius to degrees Fahrenheit. Round off decimal answers to the nearest tenths.

1. 0 ⁰C

2. 53 ⁰C

3. 5 ⁰C

4. 24.5 ⁰C

5. 46.9 ⁰C

B. Convert each temperature from degrees Fahrenheit to degrees Celcius. Round off decimal answers to the nearest tenths.

1. 180 ⁰F

2. 315 ⁰F

3. 33 ⁰F

4. 154.4 ⁰F

5. 89.9 ⁰F

### Answers

The following temperature are **converted** from degrees Celcius to degrees Fahrenheit:

1. 0 ⁰C = 32°F

2. 53 ⁰C = 127.4°F

3. 5 ⁰C = 41°F

4. 24.5 ⁰C = 76.1°F

5. 46.9 ⁰C = 116.42°F

The following temperature are converted from degrees **Fahrenheit** to degrees Celsius:

1. 180 ⁰F = 82.2°C

2. 315 ⁰F = 157.2°C

3. 33 ⁰F = 0.6°C

4. 154.4 ⁰F = 68°C

5. 89.9 ⁰F = 32.2°C

How to convert temperature?

Temperature refers to the degree of **hotness** or coldness of a substance. Degrees Fahrenheit and degrees Celsius ar unit of temperature.

degrees **Celcius** to degrees Fahrenheit:

1. 0 ⁰C

(0°C × 9/5) + 32

= 32°F

2. 53 ⁰C

(0°C × 9/5) + 32

= (53 + 9/5) + 32

= 127.4°F

3. 5 ⁰C

(0°C × 9/5) + 32

= (5 × 9/5) + 32

= 41°F

4. 24.5 ⁰C

(0°C × 9/5) + 32

= (24.5 × 9/5) + 32

= 76.1°F

5. 46.9 ⁰C

(0°C × 9/5) + 32

= (46.9 × 9/5) + 32

= 116.42°F

**degrees** Fahrenheit to degrees Celsius

1. 180 ⁰F

= (180°F − 32) × 5/9

= 82.222°C

2. 315 ⁰F

= (315°F − 32) × 5/9

= 157.222°C

3. 33 ⁰F

= (33°F − 32) × 5/9

= 0.5556°C

4. 154.4 ⁰F

= (154.4°F − 32) × 5/9

= 68°C

5. 89.9 ⁰F

= (89.9°F − 32) × 5/9

= 32.167°C

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How media coverage influences public attitudes toward human rights violations

### Answers

**Media coverage **of human rights violations has the potential to shape public attitudes by providing information, framing the issues, and influencing public perception and empathy towards the victims. Option: There is no specific option provided in the question.

Media coverage has the power to inform and **influence public opinion **by providing information, analysis, and narratives about human rights violations. Through news reports, documentaries, articles, and social media, the media can bring attention to human rights abuses, raise awareness, and generate public discourse on these issues. The way media frames and presents these violations can shape public perceptions, attitudes, and empathy towards the victims.

Media coverage can shed light on the severity, scale, and consequences of human rights violations, leading to public outrage, demands for **accountability**, and support for action to address these abuses. On the other hand, media biases, selective reporting, or inadequate coverage can also influence public attitudes, either by downplaying or misrepresenting human rights violations or by reinforcing existing stereotypes, prejudices, or biases.

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A helicopter flies 40km east followed by 150km south. On what bearing must the helicopter fly to return home directly

### Answers

The **helicopter** must fly on a bearing of approximately 14.04 degrees to return home directly.

To determine the bearing the helicopter must fly to return home directly, we can use **trigonometry** and the concept of bearings. Bearings are usually measured clockwise from north.

First, let's visualize the helicopter's movement. It flies 40 km east and then 150 km south. This creates a **right-angled triangle**, with the eastward flight as the adjacent side and the southward flight as the opposite side.

To find the bearing, we need to calculate the angle between the helicopter's starting point and its destination. This angle is formed by the **eastward** flight and the line connecting the starting point and the destination.

Using trigonometry, we can determine this angle by finding the inverse tangent (arctan) of the opposite side divided by the adjacent side.

In this case, the angle can be calculated as:

**Angle** = arctan(opposite side / adjacent side) = arctan(150 / 40)

Using a calculator, we find that the angle is approximately 75.96 degrees.

Now, we need to determine the bearing. Bearings are measured clockwise from north, so we subtract the calculated angle from 90 degrees (north) to obtain the bearing:

Bearing = 90 - 75.96 = 14.04 degrees

It's important to note that bearings are typically given as whole numbers or in cardinal directions (e.g., north, northeast, east). Rounding the bearing, we can say that the helicopter should fly on a bearing of approximately 14 degrees east of north to return home **directly**.

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A wheel of a car is 2ft in diameter. The car is traveling at a rate of 30mph. Find the angular velocity of the wheel in rotations/sec

### Answers

A wheel diameter of 2ft and a car speed of 30mph, the **angular velocity **of the wheel is approximately 4.472 rotations per second.

To find the angular velocity of the wheel, we need to convert the **linear velocity **of the car to angular velocity. The linear velocity of the car is given as 30 miles per hour (mph). We know that the **circumference **of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. In this case, the diameter of the wheel is 2ft, so the circumference is 2π ft.

To convert the linear velocity to angular velocity, we can use the formula:

Angular velocity = Linear velocity / Circumference

Substituting the values, we have:

Angular velocity = 30 mph / (2π ft) ≈ 4.472 rotations per second

Therefore, the angular velocity of the **wheel** is approximately 4.472 **rotations** per second.

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Knowing how quickly players accumulate resources can impact decisions about in-game micro transactions. you are part of a design team that needs to calculate the amount of gold coins obtained by player activities by a certain level in your game. from previous studies, you know the standard deviation is 7730.9 gold coins. your boss wants you to survey players to find the average number of gold coins players can earn by that particular level. your boss wants to use a 90% confidence level and he wants to be certain within 500 gold coins. how many players should you survey?

you will need to survey players.

### Answers

You should survey approximately 646 players to **estimate **the average number of gold coins players can earn by that particular level with a 90% confidence level and a margin of error of 500 gold coins.

To determine the number of players you should survey, you need to consider the desired confidence level, the desired margin of error,

and the known standard deviation. Without the known mean, we will use a conservative estimate of 50% to determine the sample size.

To calculate the sample size, we can use the formula: n = (Z^2 * σ^2) / E^2, where:

n is the required sample size

Z is the Z-score corresponding to the desired confidence level (90% confidence level corresponds to a Z-score of approximately 1.645)

σ is the standard **deviation**

E is the desired margin of error

Given that the standard deviation (σ) is 7730.9 gold coins and the desired margin of error (E) is 500 gold coins, we can substitute these **values** into the **formula**.

Using the Z-score of 1.645 for a 90% confidence level, the formula becomes: n = (1.645^2 * 7730.9^2) / 500^2

Simplifying the calculation:

n = (2.705025 * 59793249.81) / 250000

n ≈ 645.56

Therefore, you should survey approximately 646 players to estimate the average number of gold coins players can earn by that particular level with a 90% confidence level and a margin of error of 500 gold coins.

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Toni purchased a car for $32,800 with zero down payment and an annual interest rate of

4.7% compounded monthly for a term of 6 years. how much will the car have cost in total

payments after the term has ended? round your answer to the nearest dollar.

### Answers

**Answer:**

**Step-by-step explanation:**

Who launched and docked a robotic capsule with the international space station in 2012?

### Answers

In 2012, SpaceX, a private American aerospace **manufacturer**, launched their Dragon **spacecraft **on a Falcon 9 rocket. The Dragon spacecraft was carrying cargo and supplies for the International Space Station (ISS). This was the first time a privately funded spacecraft had docked with the ISS.

The mission, called CRS-1 (Commercial Resupply Services 1), was a **significant **milestone in space exploration and a major achievement for SpaceX. The Dragon spacecraft successfully delivered its cargo to the ISS and returned to Earth with a load of science experiments and equipment. Since then, SpaceX has continued to launch and dock with the ISS on multiple occasions, and has also launched astronauts to the ISS in their Crew Dragon spacecraft.

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Will mark branliest please help. a cooler contains thirteen bottles of sport drink: five lemon-lime flavored and eight orange flavored. you randomly grab a bottle and give it to your friend. then, you randomly grab a bottle for yourself. you and your friend both get lemon lime. find the probability, write answer as reduced fraction.

### Answers

The **probability** of both you and your friend randomly getting a lemon-lime flavored bottle is 5/39.

To find the probability of both you and your friend getting lemon-lime flavored sports drinks, we need to consider the probabilities of each **event** occurring.

First, you randomly grab a bottle for your friend. The probability of it being lemon-lime flavored is 5/13, since there are 5 lemon-lime flavored bottles out of a total of 13.

Next, since one lemon-lime bottle has been taken, there are now 4 lemon-lime flavored bottles and 12 total bottles left in the cooler. The probability of you randomly grabbing a lemon-lime flavored bottle is now 4/12.

To find the probability of both events occurring, we multiply their probabilities: (5/13) * (4/12) = 20/156. We can reduce this **fraction** by dividing both numerator and denominator by 4: 20/4 = 5 and 156/4 = 39. So, the reduced fraction is 5/39.

The probability of both you and your friend getting lemon-lime flavored sports drinks is 5/39.

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Click on the time that passed from start to end 38 minutes 22 minutes 32 minutes 28 minutes

### Answers

120 minutes **passed** from the start to the end. To calculate the time that passed from the start to the end, we need to **add** up the **durations** of each segment. Let's perform the calculations:

38 minutes + 22 minutes + 32 minutes + 28 minutes = 120 minutes

Therefore, the total time that passed from the **start** to the end is 120 minutes.

It's **important** to note that when adding time durations, we treat them as numerical values and sum them up. In this case, we added up the durations of each segment to **determine** the total time.

So, the answer is 120 minutes passed from the start to the end.\

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If t 0 1 1 0 is a transformation matrix, which expression correctly applies t to v?

### Answers

In matrix multiplication, the **transformation matrix** is multiplied by the vector to perform the desired transformation. The expression that correctly applies the transformation matrix t to** vector v is t * v.**

In** matrix multiplication**, the transformation matrix is multiplied by the vector to perform the desired transformation. In this case, the transformation matrix t is given as:

**t = | 0 1 |**

| 1 0 |

And the vector v is not specified in the question. However, to apply the transformation matrix t to vector v, we use the expression t * v.

The matrix multiplication is performed by multiplying the corresponding elements of each row in the transformation matrix with the corresponding elements of the column in the vector and summing up the products. The resulting vector will be the transformed vector.

For example, if we have a vector v as:

**v = | x |**

| y |

To apply the transformation matrix t to vector v, we can multiply the matrices as:

t * v = | 0 1 | * | x | = | y |

**| 1 0 | | y | | x |**

Therefore, the expression t * v correctly applies the transformation matrix t to vector v.

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The larger triangle is a dilation of the smaller triangle with a center of dilation at (2,−1). What is the scale factor of the dilation? 13 12 2 3 Coordinate plane. The horizontal axis ranges from negative 6 to 4 in increments of 1. The vertical axis ranges from negative 3 to 7 in increments of 1. Two triangles are on the coordinate plane. The vertices are not labeled. Both triangles share a vertex at the point 2 comma negative 1. The smaller triangle also has vertices at points two comma two and negative one comma negative one. The larger triangle also has vertices at points two comma five and negative four comma negative one.

### Answers

In this problem, we are given a smaller and a larger **triangle** on a coordinate plane. We are told that the larger triangle is a dilation of the smaller triangle with a center of dilation at (2,-1). We are required to find the **scale **factor of this dilation.

Given points: The smaller triangle has vertices at points (2,2) and (-1,-1) and shares a vertex at the point (2,-1). The larger triangle has vertices at points (2,5) and (-4,-1) and shares a vertex at the point (2,-1).Dilation is a transformation that produces an image that is the same shape as the original, but is a different size. We can find the scale factor of the dilation by comparing **corresponding **side lengths of the smaller and larger triangles.

We will choose two corresponding sides of the smaller and larger triangles and divide the length of the larger triangle by the length of the smaller triangle. This will give us the scale factor of the dilation. We will **choose** sides AC and A'C' of the triangles below: Coordinates of point A on smaller triangle = (2,2)Coordinates of point C on smaller triangle = (-1,-1)Length of AC = √[(2-(-1))² + (2-(-1))²] = √(3² + 3²) = √18Coordinates of point A' on larger triangle = (2,5)Coordinates of point C' on larger triangle = (-4,-1)Length of A'C' = √[(2-(-4))² + (5-(-1))²] = √(6² + 6²) = √72 = 6√2Scale factor of dilation = A'C'/AC = (6√2)/√18 = (6√2)/(3√2) = 2Thus, the scale **factor **of the dilation is 2. Answer: 2.

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What is the strength of the association between the two variables in the scatter plot? select from the drop-down menu to correctly complete the statement. the strength of association

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The **strength** of association is strong in the given scatter plot.

Given is a **scatter plot** for two variables are we are to find the strength of association between the two variables in the scatter plot

On analysis of the scatter plot, we find that whenever x increases, y decreses.

Hence there is a negative **association** between them

The points are very much near to the trend or regression line showing the there is a **linear** **relationship** between the two variables.

Whenever there is a linear relationship we find that there is constant slope which says that the rate of change of y varies as **rate of change** of x (negatively)

Hence there is a **strong** association.

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Final answer:

The strength of the association between two variables in a scatter plot can be evaluated by looking at the distribution of data points. A distinct pattern or a line that the points tend to follow suggests a strong association, while scattered and widely dispersed points indicate a weak or no association.

Explanation:

When evaluating the strength of the association between two variables in a scatter plot, we look at the distribution of data points. If they fall along a straight or nearly **straight line,** it suggests that there is a strong association between the two variables - this is described as a strong linear correlation. On the other hand, if the data points are dispersed and not forming any discernible pattern, it signifies a weak or no correlation. The closer the data points are to the line of best fit (in case of linear correlation), the stronger the association.

For instance, if we are looking at a scatter plot that represents study hours per week **(x-axis)** and grades **(y-axis)**, we might see a line that slopes upwards. This suggests a strong positive association, meaning as study hours increase, so do grades. However, if our data points are scattered all over the plot with no clear pattern, then the association between study time and grades might be weak or **non-existent**.

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Which notations represents a division according to ddc system?

### Answers

In the Dewey Decimal **Classification **(DDC) system, division is represented by a two-digit number followed by a **decimal **point.

The division **numbers **range from 000 to 999 and are used to categorize subjects and topics in libraries. The notation for division in the DDC system allows for a **hierarchical **organization of knowledge, where each division is further divided into subclasses for more specific subject areas.

The Dewey Decimal Classification (DDC) system is a widely used **library **classification system that organizes books and other materials based on subject **matter**. In this system, division is denoted by a two-digit number followed by a decimal point. For example, "300" represents the division for social sciences, "500" represents the division for natural sciences and mathematics, and "900" represents the division for history and **geography**.

Each division is further divided into subclasses using additional digits after the decimal point. For instance, within the social sciences division, "320" represents the subdivision for political science, while "330" represents the subdivision for **economics**. This hierarchical structure allows for a systematic arrangement of subjects, making it easier for library users to locate materials related to their interests.

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Please help! this is due tomorrow and i really need help worth 20 and i'll mark brainliest!

kelly runs a lemonade stand at the park. the table shows the

profit she earns for different numbers of cups of lemonade sold.

cups sold profit ($)

15 1.75

21 4.75

27 7.75

30 9.25

45 16.75

a. what price does kelly charge for each cup of lemonade?

b. how many cups must kelly sell in order to make a profit?

c. write the equation that shows the amount of profit, p, for n number of

cups sold.

### Answers

The **equation** that shows the amount of **profit** (P) for n **number** of cups sold is:

P = 0.50n - 5.75.

To determine the **price** Kelly charges for each cup of lemonade, we can look at the **profit** she earns for different **numbers** of cups sold. We observe that the profit increases by $3 for every 6 cups sold. So, the price for each cup of lemonade is $3/6 = $0.50. To make a profit, Kelly needs to earn more **money** than she spends. In this case, we can see that Kelly starts making a profit when she sells 21 cups of **lemonade**, as the profit at that point is $4.75. Therefore, Kelly needs to sell at least 21 cups of lemonade to make a profit. The **equation** that represents the amount of profit, P, for n number of cups sold can be derived from the given data points. We can use the profit values and corresponding cups sold to find the **equation**.

Using the two **points** (15, 1.75) and (21, 4.75), we can determine the equation of a **linear** relationship between cups **sold** (n) and profit (P). The equation is P = m * n + b, where m is the slope and b is the y-intercept. Using the formula for **slope** (m) = (y2 - y1) / (x2 - x1), we have: m = (4.75 - 1.75) / (21 - 15) = 3 / 6 = 0.50.

Substituting the slope and one of the data points (e.g., 15 cups, 1.75 profit) into the equation, we can solve for the y-**intercept** (b): 1.75 = 0.50 * 15 + b, 1.75 = 7.50 + b, b = 1.75 - 7.50 = -5.75. Therefore, the equation that shows the amount of profit (P) for n number of cups sold is: P = 0.50n - 5.75.

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March madness movies served 232323 lemonades out of a total of 111111111 fountain drinks last weekend.

based on this data, what is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade?

### Answers

A reasonable estimate of the **probability **that the next fountain drink ordered is a lemonade is approximately 0.02 or 2%.

we can use the information given in the question. We know that March madness movies sold 232,323 lemonades out of a total of 111,111,111 fountain drinks. This means that the proportion of lemonades sold to total fountain drinks sold is 232,323/111,111,111, or approximately 0.0021.

To convert this proportion to a percentage, we can multiply by 100. Therefore, the percentage of lemonades sold out of** total fountain** drinks sold is approximately 0.21%.

Since we are looking for the probability that the next fountain drink **ordered **is a lemonade, we can assume that the proportion of lemonades sold to total fountain drinks sold will remain relatively constant. Therefore, a reasonable estimate of the probability that the next fountain drink ordered is a lemonade is also approximately 0.21%, or 0.0021.

based on the given **data,** a reasonable estimate of the probability that the next fountain drink ordered is a lemonade is approximately 0.02 or 2%.

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