Mathematics High School

## Answers

**Answer 1**

The approximate value of the **function**, after moving 0.2 units along the x-axis, can be determined by using **linearization** and is found to be approximately equal to 12.7.

The linearization of a function at a **point **(a, b) is given by the formula:

f(x) ≈ f(a) + f'(a) (x - a)

Where f(a) is the function value at the point (a, b), and f'(a) is the **derivative** of the function at that point. In this case, the -value of the function is 12.5 and the slope is given as .

So, the linearization of the function at (a, 12.5) is:

f(x) ≈ 12.5 + (x - a)

After moving 0.2 along the -axis, the new -value is a + 0.2, and we can use this in the **linearization **to approximate the function value:

f(a + 0.2) ≈ 12.5 + (a + 0.2 - a)

Simplifying:

f(a + 0.2) ≈ 12.5 + 0.2

f(a + 0.2) ≈ 12.7

So, the approximate value of the **function** after moving 0.2 along the -axis is 12.7.

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## Related Questions

a bag contains 7 7 red, 10 10 orange, and 7 7 green jellybeans. what is the probability of reaching into the bag and randomly withdrawing 12 12 jellybeans such that the number of red ones is 2 2 , the number of orange ones is 5 5 , and the number of green ones is 5 5 ? express your answer as a fraction or a decimal number rounded to four decimal places.

### Answers

The **probability **of reaching into the bag and randomly **withdrawing **12 jellybeans such that the number of red ones is 2, the number of orange ones is 5, and the number of green ones is 5

A bag contains, red jelly beans = 7.

On that same bag, Orange jelly beans = 10.

The number of green jelly beans contains in a bag = 7.

Here we have to determine the **probability **of reaching into the bag and **randomly **withdrawing 12 jellybeans such that the number of red ones is 2, the number of orange ones is 5, and the number of green ones is 5.

Probability of **selecting **red ones 2 among 7 = [tex]7_{C_2}[/tex]

= [tex]$\frac{7!}{2!(7-2) !}[/tex]

Probability of selecting red ones = 21.

Probability of selecting orange ones 5 among 10 = [tex]10_{C_5}[/tex]

= [tex]$\frac{10!}{5!(10-5) !}[/tex]

Probability of selecting Orange ones = 252.

Probability of selecting green ones 5 among 7 = [tex]7_{C_5}[/tex]

= [tex]$\frac{7 !}{5 !(7-5) ! }$[/tex]

Probability of selecting green ones = 21.

Total jelly beans = 7 + 10 + 7 = 24.

P(event) = [tex]$\frac{\text { Favorable events }}{\text { total events }} \\[/tex]

[tex]$& =\frac{21 \times 252 \times 21}{24 c_{12}} \\[/tex]

[tex]$& =\frac{21 \times 252 \times 2 !}{\frac{24 !}{12 !(24-12) !}} \\&[/tex]

[tex]$& =\frac{21 \times 252 \times 21}{2704156}[/tex]

= 0.0410 .

Therefore the Required probability = 0.0410.

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i need help guysss

schoology

### Answers

**Answer:**

c = 71º

b = 71º

**Step-by-step explanation:**

First, we can solve for c using the fact that **c and 109º** are **supplementary**, meaning they add to 180º.

[tex]c + 109\textdegree = 180\textdegree[/tex]

[tex]c = (180-109)\textdegree[/tex]

[tex]c = 71\textdegree[/tex]

Next, we can solve for b using the fact that **opposite angles** are **congruent**.

[tex]c \cong b[/tex]

[tex]71\textdegree = b[/tex]

There are 10 girls and 16 boys in a class. The teacher has sticks with each students name on them in a bag. What is the probability of selecting sticks with a boy’s name and then a girls name if the first stick is not replaced?

A: 40/169.

B: 16/65.

C: 45/128.

D: 26/51.

### Answers

Option (D) 26/51 is the closest to the answer 0.22. so, 26/51 is the **probability **of selecting sticks with a boy’s name and then a girls name if the first stick is not **replaced**.

The total **number **of students in the class is 10 girls and 16 boys, making a total of 26 students.

The **probability **of selecting a boy's name on the first draw without replacing the stick is 16/26.

After the first draw, the total number of students remaining is 25, of which 9 are girls.

The probability of drawing a girl's **name **on the second draw is 9/25.

To find the probability of selecting sticks with a boy's name and then a girl's name, we multiply the individual probabilities:

(16/26) * (9/25) = 144/650

This is equal to **approximately **0.22 or 22/100, which is closest to answer choice D, 26/51.

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The circumference of a circle is 91. 688 millimeters. What is the radius of the circle? Use 3. 14 for π. 29. 2 mm

183. 4 mm

14. 6 mm

45. 8 mm

### Answers

The **radius** of a circle can be calculated by dividing the **circumference** of the circle by 2π, where π is equal to 3.14. Therefore, when the circumference of the circle is 91.688mm, the radius is equal to 45.8mm.

To find the **radius** of a circle, you must first understand the relationship between the circumference and the radius. The **circumference** is equal to 2π multiplied by the radius, where π is equal to 3.14. Therefore, to find the radius, divide the circumference by 2π. For example, if the circumference of a **circle** is 91.688 mim, divide 91.688 by 2π to get the radius. The calculation would be 91.688 / (2 * 3.14), which equals 45.8 millimeters. Therefore, the radius of the circle with a circumference of 91.688 mm is 45.8 **millimeters**.

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(3x-5)(3x-5)-(2x-3)(4x+5)

### Answers

**Answer:**

X2-28+40

**Step-by-step explanation:**

**Answer:**

(3x−5)(3x−5)−(2x−3)(4x+5)

Distribute:

=(3x)(3x)+(3x)(−5)+(−5)(3x)+(−5)(−5)+−8x2+2x+15

=9x2+−15x+−15x+25+−8x2+2x+15

Combine Like Terms:

=9x2+−15x+−15x+25+−8x2+2x+15

=(9x2+−8x2)+(−15x+−15x+2x)+(25+15)

=x2+−28x+40

Answer:

=x2−28x+40

a graph of unit volume and cost data is called a: multiple choice least-squares diagram. step-wise diagram. scatter diagram. break-even diagram. composite diagram.

### Answers

A **graph **of unit volume and cost data is called a scatter diagram. Thus, the correct option is (c) scatter diagram.

What is a graph?

In mathematics, a graph can be defined as a graphical representation or chart that systematically represents data or values. A point on a **graph **often represents a relationship between two or more things.

Uses of graph:

Graphs and charts are powerful visual tools because they allow you to display **information** quickly and easily. It is therefore not surprising that graphics are widely used in print and electronic media. **Graph** can show trends and comparisons, so sometimes data can be better understood when presented as a graph rather than as a table.

What is Scatter Diagram?

A **scatter diagram** plots pairs of numeric data using one variable on each axis to explore the relationship between them. If the variables are correlated, the points are along a straight line or curve. The better the correlation, the closer the dots enclose the line.

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Oskar has a map showing this trip is 165 kilometers long. Oskar is from Texas and is more familiar

with miles as a unit of measure for distance.

Write three paragraphs explaining how to help Oskar

determine the distance of his trip in miles.

• Paragraph 1: Identify a conversion rate on your formula sheet that will help Oskar? How will this

help?

.

Paragraph 2: Explain the steps Oskar will need to use to convert 165 kilometers into miles.

Paragraph 3: Where do you think Oskar might be traveling in which the maps are labeled in kilometers instead of miles? What is the difference between these two units of measure?

### Answers

Paragraph 1: **Oskar** can use the **conversion rate** of 1 **kilometer** = 0.621371 miles to help him **determine** the **distance** of his trip in **miles**.

Paragraph 2: To convert 165 kilometers into miles, **Oskar** will need to **multiply** 165 by 0.621371.

Paragraph 3: **Oskar** might be **traveling** in a country where the **maps** are labeled in kilometers instead of miles.

**What is the unit conversion in mathematics?**

**Unit conversion** in mathematics is the process of converting a **quantity** from one **unit** of **measurement** to another. This is done by multiplying or dividing by a **conversion factor**, which is a **ratio** of **equivalent units**. For example, to convert kilometers to miles, you can use the conversion factor 1 kilometer = 0.621371 miles.

Paragraph 1: Oskar can use the conversion rate of 1 kilometer = 0.621371 miles to help him determine the distance of his trip in miles. This conversion rate will allow Oskar to convert the 165 kilometers into miles by multiplying it by 0.621371. This will help Oskar better understand the distance of his trip and make it easier for him to plan and track his progress.

Paragraph 2: To convert 165 kilometers into miles, Oskar will need to multiply 165 by 0.621371. This will give him the equivalent distance in miles. Oskar can use a calculator to perform this calculation and find the exact result. Alternatively, he can round the conversion rate to 1 kilometer = 0.621 miles, which will make the calculation easier and quicker.

Paragraph 3: Oskar might be traveling in a country where the maps are labeled in kilometers instead of miles. This is common in countries that use the metric system, such as Europe, Australia, and Canada. The difference between these two units of measure is that kilometers are a part of the metric system and miles are a part of the imperial system. Kilometers are a more universally accepted unit of measure and are used in most of the world, while miles are primarily used in the United States.

Hence,

Paragraph 1: **Oskar** can use the **conversion rate** of 1 **kilometer** = 0.621371 miles to help him **determine** the **distance** of his trip in **miles**.

Paragraph 2: To convert 165 kilometers into miles, **Oskar** will need to **multiply** 165 by 0.621371.

Paragraph 3: **Oskar** might be **traveling** in a country where the **maps** are labeled in kilometers instead of miles.

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Sandy used a virtual coin toss app to show the results of flipping a coin 100 times , 500 times , 1,000 times. elxolain what most likely happened in Sandy’s experiment

### Answers

In Sandy's experiment, it is most likely that the results of the virtual coin toss app showed that the number of heads and tails were roughly equal for each of the 100, 500, and 1,000 coin flips. This is because a fair coin has a 50/50 chance of landing on heads or tails, and over a large number of flips, the number of heads and tails should approach equal. However, it is also possible that the results showed some deviation from this equal distribution, as there will always be some degree of randomness in the outcome of coin flips.

A or teacher divides the class evenly for a game of kickball. If the likelihood of being on team eagle and team jaguar is the same, describe a simulation that could represent the team assignment for the next 10 students in PD class

### Answers

A simulation to represent the **team assignment **for the next 10 students in the PD class could involve the following steps:

Create two lists, one for Team Eagle and one for Team Jaguar, to keep track of the assigned students.

Use a random **number generator** or a random function in a computer program to simulate the coin flip that determines the team assignment for each student.

For each of the next 10 students, use the random number generator to select either 0 or 1, where 0 represents Team Eagle, and 1 represents Team Jaguar.

Based on the result of the random number, assign the student to the corresponding team and add their name to the list for that team.

Repeat the process for the next 10 students until all students have been assigned to a team.

Verify that the number of students on each team is approximately equal and that the likelihood of being on Team Eagle and Team Jaguar is the same for each student.

This simulation can be repeated multiple times to demonstrate that the **team assignment **are random and that the likelihood of being on either team is the same for all students.

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I can't get an answer! :( Does anyone know the difference between a theorem and postulate? Please give examples

### Answers

**Answer: The difference between a theorem and postulate is the following: **

**Postulates are assumed to be true without the need for proof. Theorems can and need to be proven to be true.**

**Step-by-step explanation:**

Examples:

Postulate: A line contains at least two points.

Theorem: The Pythagorean theorem is a theorem since we use it to prove that a^2 + b^2 = c^2 to figure out the side lengths of a right triangle

Help, please!! Big Ideas

Write the word sentence as an inequality. Then solve the inequality, giving your answer in decimal form.

225 is no less than 12 times a number w.

An inequality that represents this word sentence is

.

The solution is

_____

### Answers

The **solution **to the **inequality **expression is w <= 18.75

How to determine the inequality expression

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

225 is **no less **than 12 times a number w.

When this is represented as an **expression**, we have

225 >= 12w

**Divide **both sides by 12

So, we have

18.75 >= w

Rewrite as

w <= 18.75

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what is 5/29 rounded to the nearest whole number

### Answers

**Answer:0**

**Step-by-step explanation:**

5/29 is less than a half and not an improper fraction, so you would round down and get 0

Three students were asked to use estimation strategies to find a reasonable

solution to this question:

A cashier is ringing up a stove for $484 and a dishwasher for $503. What is the

total that is owed for the appliances?

### Answers

The **estimated amount** that is owed for the appliances is about $1000.

What is Estimation Strategies?

Estimation strategies are strategies used to do an **operation **in order for the operation to be predictable and easy.

Given question is,

A **cashier **is ringing up a stove for $484 and a dishwasher for $503.

If we are doing it the normal way,

**Total amount** owed = $484 + $503

= $987.

If we using estimation to find the total amount, estimate the amount for the stove being $500 and estimate the amount for the dishwasher being $500.

Total amount owed = $500 + $500 = $1000

Hence the total amount owed is about $1000 but is the **overestimated **value.

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What is the approximate length of line segment k l ? use the law of sines to find the answer. 1.8 units 2.0 units 3.2 units 3.7 units

### Answers

The** approximate length **of line segment KL is 3.2 unit . The correct answer is C.

** Line segment** of **KL **kan be calculate as follows:

JL = 2.7 units

JK = 4.7 units

∠L = 150°

Using **Law of sines,**

sinL = sin K = sin J

L K J

sin 105° x 2.7 = sin K

4.7

0.5548 = sin K

sin⁻¹ (0.5548) = K

33.7° = K

Using "Sum of a triangle's internal angles is supplementary" now

∠J +∠K+∠L = 180°

∠J + 33.7° + 105°= 180°

∠J = 41.3°

Then using law of cines we can get

sinL = sin K = sin J

L K J

sin105° = sin 41.3°

4.7 J

J of line KL = 3.211

line KL is 3.2 unit

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Need HELP ASAP please and thank you!

### Answers

The first 4 **term** of the **sequence** are as follows:

a₁ = 2

a₂ = -6

a₃ = 18

a₄ = -54

How to find the term of a sequence?

A **sequence** is an ordered list of numbers that follows a particular pattern. Therefore, let's find the first four term of the sequence using the formula as follows:

aₙ = 2(-3)ⁿ⁻¹

where

n = **number of terms**

n = 1 , 2, 3, 4, 4

Therefore, let's find the first 4 terms as follows:

a₁ = 2(-3)¹⁻¹ = 2(1) = 2

a₂ = 2(-3)²⁻¹ = 2(-3) = -6

a₃ = 2(-3)³⁻¹ = 2(9) = 18

a₄ = 2(-3)⁴⁻¹ = 2(-27) = -54

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What is it called

when two angles add

up to 180°?

### Answers

**Answer:**

**Step-by-step explanation:**

Two angles are calledsupplementarywhen their measures add up to 180 degrees.

**Answer:**

supplementary

**Step-by-step explanation:**

Two angles are called supplementary when their measures add up to 180 degrees.

Write an expression to model the situation:

A rental car costs $35 plus 55¢ per mile to rent. Use m to represent the number of miles.￼

PLEASE BE ACCURATE!!!! THANK YOU!!!:)

### Answers

**Answer:**

cost = 35+0.55*m

**Step-by-step explanation:**

let miles = m

cost = 35+0.55*m

In the figure below, $DOGS$ is a rectangle. If $DO = 24$ and $OG = 10$, what is the length of $DG?$

### Answers

Length of** $DG$ **is 26

What is a rectangle?

A rectangle is a four sided **polygon** in which opposite sides are equal. All the angles in the rectangle is 90°.

In the given figure, DO=24, OG=10.

Then by **phythagoras **theorem,

[tex]Hypotenues^{2} =Adjacent side^{2} + Opposite side^{2}[/tex],

[tex]DG^{2}=DO^{2} +OG^{2}[/tex]

⇒ [tex]DG^{2} =24^{2}+10^{2}[/tex] ⇒ [tex]DG=\sqrt{676}[/tex] = 26

Hence, the **length** of the $DG$ = 26.

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- for a set of five numbers, the number that has two values greater than and two less than itself would be this value. a. range - the difference between your measurement and the value accepted as the correct one. b. experimental error - the difference between the highest and lowest values from measurements. c. mean - measurements that are near their true value. d. precision - the sum of the values of your measurements. e. significant figures - measurements that are reproducible. f. accuracy - for the multiplication of several numbers, the number with the least number of digits is 3 digits. we should use only 3 digits in the answer. g. median

### Answers

The correct answer is option g. **Median. **The median is the value that separates the higher half from the lower half of a **dataset**.

It is defined as the middle value of a set of numbers when the set is arranged in **numerical** order. If the set has an odd number of values, the median is the middle value. If the set has an even number of values, the median is the average of the two **middle **values. The median is a useful measure of **central **tendency because it is not influenced by outliers and extreme values, unlike the mean. It is also a robust **statistic**, meaning that it is relatively stable in the face of small changes in the data.

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12) Given the function f(x) = -2x² + 3x - 6, find the value of f(-3).

### Answers

The **value **of the **function **f(-3) in f(x) = -2x² + 3x - 6 is -33

How to find the value of f(-3).

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

f(x) = -2x² + 3x - 6

To find the value of f(-3). we set x = -3

Using the above as a guide, we have the following **equation**

f(-3) = -2(-3)² + 3(-3) - 6

Evaluate the **expression**

f(-3) = -33

Hence, the **solution **is f(-3) = -33

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Mrs. Kim wants to share the stickers equally with each of her students. There are

32

32 students in her class.

Enter the number of stickers that each student will get.

### Answers

The answer to the **division operation **question is x / 32 stickers per student. This means that each student will receive x stickers divided by 32 students.

When you want to find out how many **stickers** each student will receive, you're trying to determine how to divide the total number of stickers equally among all the students. In mathematics, this is **called division**.

In this case, Mrs. Kim wants to share the stickers equally among 32 students. To find out how many stickers each student will receive, we need to divide the total number of stickers by the number of students.

Let's call the number of stickers Mrs. Kim has x. Then, each student will receive x / 32 stickers.

The **division operation** is performed by dividing the numerator (x) by the denominator (32). The result of this division is the number of stickers each student will receive.

So, the answer to the question is x / 32 stickers per student. This means that each student will receive x stickers divided by 32 students.

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Mrs. Kim wants to share the stickers equally with each of her students. There are 32 students in her class. Enter the number of stickers that each student will get?

Jordan runs 1800 meters in 5 minutes. How many meters can Jordan run in one minute? meters per minute

### Answers

**Answer: 360 m/min**

**Step-by-step explanation:**

The problem tells us he runs 1800m/5min. By dividing those numbers, we can get the unit rate.

[tex]\frac{1800}{5}=360 m/min[/tex]

You can double-check if you divided the numbers correctly by looking at the units. Since you are looking for meters per minute, you divide the number of meters by the number of minutes.

On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world's fastest temperature change. At 7:30 a.m., the temperature was -4°F. By 7:32 a.m., the temperature was 45 °F. By 9:00 a.m. the same day, the temperature was 54 °F. By 9:27 a.m., the temperature was -4 °F. What is the difference between the temperature at 7:30 and the temperature at 9:27?

### Answers

0° F is the difference between the** temperature **at 7:30 and the temperature at 9:27

What is the temperature change?

When the **movement of heat **causes temperature to rise or fall, a temperature change takes place.

Temperature is a gauge for an object's average particle** kinetic energy. **The movement of these particles likewise increases with rising temperature. A thermometer or calorimeter is used to measure temperature.

Given that,

On January 22 in 1943, the town of Spearfish, South Dakota

At 7:30 a.m., the temperature was -4°F and By 9:27 a.m., the temperature was -4 °F.

Thus, the temperature difference at 7:30 A.M and 9:27 A.M is:

= (-4 - (-4))° F

= 0° F

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Find the minimum value of c=x+3y

### Answers

**Answer:**

The minimum value of C is 14 because the inequality x + 3y ≥ 14 has the minimum value is 14.

**Step-by-step explanation:**

The minimum value of C is 14 because the inequality x + 3y ≥ 14 has the minimum value is 14.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have:

C = x + 3y

Subject to constraints:

9x + 2y > 35

x + 3y ≥ 14

X ≥ 0

y ≥ 0

As we can see in the inequality:

x + 3y ≥ 14

Compare with x + 3y = C

The minimum value of x + 3y is 14

Thus, the minimum value of C is 14 because the inequality x + 3y ≥ 14 has the minimum value is 14.

which of the following correctly describes the fahrenheit and celsius temperature scales? multiple select question. the celsius scale is more appropriate for science. they both are arbitrarily assigned. neither is more accurate than the other. the celsius scale is more accurate than the fahrenheit scale. the numbers used are relative measures of temperature change.

### Answers

The **Fahrenheit **and Celsius **temperature **scales are both used to measure temperature, but they have different origins and use different values to represent temperature.

The **Celsius **scale was developed by the Swedish astronomer Anders Celsius in 1742 and is based on the **metric system**. The Fahrenheit scale was developed by the German physicist Daniel Gabriel Fahrenheit in 1724 and is used mainly in the United States. Neither scale is more accurate than the other, as they are both arbitrarily assigned and the numbers used are relative measures of **temperature **change. In science, the Celsius scale is considered more appropriate because it is based on the metric system and is used for scientific measurements globally.

However, both **scales **can be used to accurately measure temperature and it is important to be able to convert between the two.

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A total of 2000 square feet is to be enclosed in two pens, as llustrated. The outside walls are to be constructed of brick, and the inner dividing wall is to be constructed of chain link. The brick wall costs $10 per linear foot and the chain link costs $5 per linear foot. Find the dimensions x and y that minimize the cost of construction.

### Answers

The **dimensions** x and y that minimize the cost of construction is **22.3 ft x 89.9 ft**

**How to find the Dimensions that minimize the cost of construction**

Let the **width and length** be x and y respectively.

We are given** area** as 2000 Sq.ft.

Thus;

xy = 2000 - - - (eq 1)

We are told that the brick wall costs $10 per** linear foot **and the chain link costs $5 per linear foot. Thus;

C(x) = 10x + 5y

From eq(1),y = 2000/x

Thus;

C(x) = 20x + 5(2000/x)

C(x) = 20x + 10000/x

To minimize this, we will differentiate and equate to 0.

Thus;

C'(x) = 20 - 10000/x²

**Equating** to zero;

20 - 10000/x² = 0

20 = 10000/x²

20x² = 10000

Divide both sides by 20;

x² = 8000/20

x² = 500

x = √500

**x = 22.3 ft**

Putting 22.3 for x in eq 1,we have;

20y = 2000

y = 2000/22.3

**y = 89.9 ft**

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The analysis of results from a leaf transmutation experiment (turning a leaf into a petal) is summarized by type of transformation completed: total textural transformation yes no total color transformation yes 215 36 no 16 10 round your answers to three decimal places (e. G. 0. 987). A) if a leaf completes the color transformation, what is the probability that it will complete the textural transformation? enter your answer in accordance to the item a) of the question statement b) if a leaf does not complete the textural transformation, what is the probability it will complete the color transformation? enter your answer in accordance to the item b) of the question statement

### Answers

A) The **probability** of a textural transformation given that a color transformation has been completed is 0.862. B) The probability of a color transformation given that a **textural **transformation has not been completed is 0.375.

A) The probability of a **textural transformation** given that a color transformation has been completed can be calculated by using Bayes' Theorem. This **theorem** states that the probability of event B given event A is equal to the probability of event A given event B times the probability of event B, divided by the probability of event A. In this case, event A is the color transformation, and event B is the textural transformation.

Using this formula, we found that the probability of a textural transformation given that a **color** transformation has been completed is 0.862, or 86.2%. This means that out of all the leaves that have completed the color transformation, 86.2% of them have also completed the textural transformation.

B) The probability of a color transformation given that a textural transformation has not been completed can also be calculated using Bayes' Theorem. In this case, event A is the not textural transformation, and event B is the color transformation.

Using this formula, we found that the **probability** of a color transformation given that a textural transformation has not been completed is 0.375, or 37.5%. This means that out of all the leaves that have not completed the textural transformation, 37.5% of them have still completed the color transformation.

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4 ft

3 ft

A 60 sq ft

B 69 sq ft

6 What is the area of the figure?

D

3 ft

81 sq ft

90 sq ft

2 m

3m 3m

4 m

8 m

2 m

7m

### Answers

Based on the information in the **graph**, we can infer that the **area** of the figure is 57 **square** **feet** (option C).

How to calculate the area of the figure?

To calculate the **area** of the figure we must calculate the area of two segments of the **figure** and then add them. First we can calculate the area of the area on the left that is 3 * 4.

3*4=12ft²

Then we must find the area of the **area** on the right which is 7.5 ft * 6ft.

7.5ft * 6ft = 45ft²

Finally we must add both areas to find the total **area**:

12ft² + 45ft² = 57ft²

**Note**: This question is incomplete. Here is the complete information:

Image attached.

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The price of a train ticket increases from £392 to £439.04

Determine the percentage change.

### Answers

**Answer: 12% increase**

**Step-by-step explanation:**

Calculate percentage change

from V1 = 392 to V2 = 439.04

[tex]\frac{V2-V1}{V1}[/tex] x 100

=[tex]\frac{439.04-392}{392}[/tex]×100

=[tex]\frac{47.04}{392}[/tex]×100

=0.12×100

=12%change

=12%increase

**Answer: **there would be a **12%** increase in ticket prices.

**Step-by-step explanation:**

using the **percentage increase** formula which is:

[tex]\frac{final price - initial price}{initial price} X 100[/tex]

now we just substitute the values from the question into this formula, we will get

[tex]\frac{439.04 - 392}{392} X 100[/tex]

now simply solving the numerator which would give us

: 47.04

now we divide the numerator and the denominator which would give us

:0.12

multiplying 0.12 and 100 would give us 12

therefore the answer is that there would be an **increase of 12%** in the ticket prices

**to learn more about percentage change,**

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In the knitting pattern, m<1 = 42°. Find the measure of <2

### Answers

**Answer:**

**The answer is.....**