The Fudd family is attending a family reunion. They plan to rent a

car from the ABC Car Rental Company. Let m represent the number

of miles the family will drive. Let c represent the cost for renting a

car. Complete problems

Answers

Answer 1

The complete problem equation will be c = k*m + b

The cost equation for renting a car from the ABC Car Rental Company in terms of the number of miles driven, m, and the cost, c, would likely take the form of:

c = k*m + b where k is the rate of cost per mile and b is the fixed cost for renting the car independent of the miles driven.

It is important to note that this is a general equation and the specific cost equation of the ABC Car Rental Company is not provided. Also, this equation assumes that the cost of renting a car is linear to the miles driven, which may not be the case in practice. Other factors such as the type of car and duration of the rental period could also be included in the cost equation.

Therefore, the problem equation will be c = k*m + b

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Related Questions

A certain movie is 105 minutes long. It started at 6:15 pm. During the movie, there were two commercial breaks, one lasting 9
minutes and one lasting 6 minutes. At what time did the movie finish?

Answers

Answer: 8:15pm

Step-by-step explanation:

9+6=15 +105 = 120, 120/60=2 hours (total duration), 6:15 + 1 hour = 7:15 + 1 hour = 8:15pm

This box plot represents the marks gained by students in an exam. Nobody gained exactly 30, 48 or 70 marks. 120 students gained less than 70 marks. How many students gained more than 48 marks?

Answers

Therefore , the solution of the given problem of scatter plot comes out

to be  2 regions contain 2 x 40 (or 80) students.

Definition of a scatter plot

Several dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).

Here,

A box plot separates a data set into four areas, each identified by five lines. The lowest line displays the result, while the highest line displays the result. 25% of the data points are distributed across each region, and the median score is indicated by the middle line.

In this box plot, for instance, there are lines at 10, 30, 48, 70, and 100. The fact that no student received a score exactly equal to 30, 48, or 70 allows us to deduce the following:

Because the middle two sections represent the interquartile range (IQR), which comprises the middle 50% of the data, they are frequently "boxed" together.

We are informed that 120 students received test scores below 70. Additionally, since there are three regions with scores below 70 and each region has a 25% weighting, 3 x 25% (or 75% of the students) had scores below 70.

In other words, 75% of 120 students.

If there are 120 students total throughout the three regions, then each

region has 40 pupils, or one-third of the total.

The box plot indicates that there are two areas, and since each region has 40 students, there are 80 students total in the two regions.

As a result, two zones with two sets of 40 students each make up the solution to the scatter plot problem.

Therefore , the solution of the given problem of scatter plot comes out

to be  2 regions contain 2 x 40 (or 80) students.

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Match the partition type to its description.
1 . Logical partition A partition with an extended partition 2 . System partition The partition where you place the boot loader 3 . Primary partition The section of the hard drive that will become the bootable drive

Answers

Logical partition - A partition within an extended partition

System partition - The partition where you place the boot loader

Primary partition - The section of the hard drive that will become the bootable drive

IBM and Microsoft initially kept internal lists of designated partition types to be used in the MBR partition table. As the market for PC operating systems and disc tools expanded and became more open, other suppliers also needed to give their products specialised partition kinds. Third parties began to merely allocate partition types on their own behalf in a largely uncoordinated trial-and-error fashion because Microsoft neither documented all of the partition types already given by them nor wished to retain foreign assignments. This resulted in several conflicting assignments, which occasionally caused serious compatibility issues between certain products. [1]

In the 1990s, a number of industry professionals including Hale Landis, Ralf D. Brown, Matthias R. Paul, and Andries E. Brouwer began investigating partition kinds.

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Question 17
Galle bought a purse for $22.50. Gale's thend Brenda saw the purse and said she would give Gale $35 if Gale would sell her the new purse right then.
mely how much profit as a percent did Gale make from selling the purse to Brenda?
A.35.7%
B.55.6%
C.64.3%
D.155.6%

Answers

So Gale made a profit of 55.6% by selling the purse to Brenda. Therefore the correct answer would be B. 55.6%

What is profit and loss?

Profit and Loss is a financial statement that shows a company's revenue, costs, and expenses over a certain period of time, such as a month or a year. The purpose of a P&L statement is to show the company's financial performance and to determine whether the company is making a profit or incurring a loss.

What is Profit Percentage?

The proportion that the retailer makes after selling a good at a price greater than its cost is the product's profit margin. P% indicates it.

Profit Percentage P% = {(selling price – cost price) / cost price} x 100.

The selling price of the purse is $35 and the original cost of the purse is $22.50. So the profit is $35 - $22.50 = $12.50

Profit as a percent = (Profit / Original cost) * 100

Profit as a percent = ($12.50 / $22.50) * 100 = 55.6%

So Gale made a profit of 55.6% by selling the purse to Brenda. Therefore the correct answer would be B. 55.6%

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Which of the following lists of ordered pairs is a function?

Answers

Answer:

C is a function

Step-by-step explanation:

for a relation to be a function each value of x must map to exactly one unique value of y

A

2 → 5 and 2 → 2 ← not a function

B

- 1 → 6 and - 1 → 7 ← not a function

C

all values of x map to exactly one unique y ← function

D

3 → 1 and 3 → 2 ← not a function

Can you help me with this

Answers

Refer to the image attached.

please help!!!!

Solving Systems of Linear Equations by Elimination
C.
0.6x = 1.2 +0.3y
2.2x-1.8y-1.6=0

Answers

By using systems of linear equations by elimination, it can be determined that x = 0.5 y +2 and 2.2x-1.8y-1.6=0 are equivalent to x=0.818182 and y+0.727273.

What do you meant by Systems of Linear Equations by Elimination ?

Using elimination, let's fix your system. 0.6 x=1.2+0.3 y, 2.2 x-1.8 y-1.6=0 in the graph, and y=2 x-4, y=1.222222 x-0.88888

Step 1: Divide both sides by 0.6 to find the solution for x = 0.6 x=1.2 + 0.3 y.

[tex]$$\begin{aligned}& \frac{0.6 x}{0.6}=\frac{0.3 y+1.2}{0.6} \\& x=0.5 y+2\end{aligned}$$[/tex]

Let's figure out what x is, 2.2 x-1.8 y-1.6=0.

First, multiply both sides by 1.8 y.

[tex]$$\begin{aligned}& 2.2 x-1.8 y-1.6+1.8 y=0+1.8 y \\& 2.2 x-1.6=1.8 y\end{aligned}$$[/tex]

Add 1.6 to both sides in step two.

[tex]$$\begin{aligned}& 2.2 x-1.6+1.6=1.8 y+1.6 \\& 2.2 x=1.8 y+1.6\end{aligned}$$[/tex]

3. Multiply both sides by 2.2.

[tex]$\frac{2.2 x}{2.2}=\frac{1.8 y+1.6}{2.2}$[/tex]

x=0.818182 y+0.727273

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.25x + 0.05y = 9, x + y = 25

Answers

Answer:

x = -4

y = 29

Step-by-step explanation:

Let's take our two equations and turn the decimals into fractions for simplicity's sake. We get:

x/4 + 5y/100 = 9    x + y = 25

Simplifying a bit gives us:

x/4 + y/20 = 9       x + y = 25

Now, we will take the first equation and multiply it by 20 to get rid of the fractions. We get:

5x + y = 9

We will rearrange numbers to give us an answer to y that we can substitute in. we get:

y = 9 - 5x

Then, we will plug this into our second equation giving us:

x + 9 - 5x = 25

Combining like terms and subtracting 9 from both sides gives us:

-4x = 16

Dividing by -4 gives us:

x = -4

Then, we can substitute this into our second equation giving us:

-4 + y = 25

We will add 4 to both sides giving us:

y = 29

Hope this helped!

Can 30 60 and 90 be the angles of a triangle?

Answers

No, the sum of the angles of a triangle must add up to 180 degrees. 30 + 60 + 90 = 180, so these angles cannot form a triangle.

The sum of the angles of a triangle must always add up to 180 degrees. To determine if a set of angles can form a triangle, add the angles together. If the sum is 180, the angles can form a triangle. In this case, 30 + 60 + 90 = 180, which does not equal 180. Therefore, these angles cannot form a triangle.

No, the sum of the angles of a triangle must add up to 180 degrees. 30 + 60 + 90 = 180, so these angles cannot form a triangle.

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M(2,4) is the midpoint

between the points A(-2,9)

and B.

Find the coordinates of B.

Answers

The coordinates of B are (6,0).

The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the segment. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint is given by the coordinates:

((x1 + x2) / 2, (y1 + y2) / 2)

In this problem, we're given that the midpoint is (2, 4) and we need to find the coordinates of point B. Since we know the coordinates of the midpoint, we can set up the equation:

((x1 + x2) / 2, (y1 + y2) / 2) = (2, 4)

We know that point A = (-2,9) is one endpoint, so we can substitute it into the equation

((-2 + x2) / 2, (9 + y2) / 2) = (2, 4)

Solving for x2 and y2, we get x2 = 6 and y2 = 0 which is the coordinates of point B.

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given that y=15-2x,copy and complete the table below giving the values of y for x=-4,0,4,8,12

Answers

Answers: 23, 15, 7, -1, and -9

Explanation

Insert the x-values into the given equation to solve for y.

1. Find y = 15-2(-4) by multiplying -2 by -4, which is 8. Add that to 15, which is 23.

2. Find y = 15-2(0) by multiplying -2 by 0, which is 0. Subtract that from 15, which is 15.

3. Find y = 15-2(4) by multiplying -2 by 4, which is -8. Add that to 15, which is 7.

4. Find y = 15-2(8) by multiplying -2 by 8, which is -16. Add that to 15, which is -1.

5. Find y = 15-2(12) by multiplying -2 by 12, which is -24. Add that to 15, which is -9.

What is 62% of $10.50?

Answers

Answer:

$6.51

Step-by-step explanation:

To make a percent a decimal, divide by 100

62% = .62

.62 x 10.50 = 6.51

We know that half of 10.50 is 5.25 and 625 would be a little higher and 6.51 is a little higher.

The answer is $ 6.51

two electric irons were sold at Rs.1050 each. If one was sold at a loss of Rs.300 and the other at a profit of Rs.450, what was the total cost price? Find the profit or loss​

Answers

Answer:

Step-by-step explanation:

Selling price of two irons is Rs.1050 each.

Loss on one iron = Rs.300

Profit on second iron = Rs.450

We know that ,

Cost price = Selling price + loss ,when loss is given

and cost price = Selling price - profit ,when profit is given.

therefore, cost price of first iron = 1050 + 300 =1350 rupees

cost price of second iron = 1050 - 450 = 600 rupees

total cost price = 1350 + 600 = 1950 rupees

total selling price = 1050 + 1050 = 2100 rupees

since total cost price < selling price

so, there is a profit of 2100 - 1950 = 150 rupees.

What is the name of the point where the two axes cross?

Answers

As per the concept of graph, the name of the point where the two axes cross is origin.

Graph in math is defined as a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Here we have to identify the name of the point where the two axes cross.

As we all know that the horizontal axis in the coordinate plane is called the x-axis and the vertical axis is called the y-axis.

Here we have also know that the point at which the two axes intersect is called the origin.

Where the origin is at 0 on the x-axis and 0 on the y-axis.

And these intersecting x- and y-axes divide the coordinate plane into four sections

Finally all these four sections are called quadrants.

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Select the correct answer.A wooden board that is 108 inches long is cut into two equal parts. What is the length of each part in feet

Answers

4.5 is the length of each part in feet. This can be solved by using the concept of feet.

What is feet?

foot, plural feet, any of a wide range of ancient, medieval, and modern linear measurements (often 25 to 34 cm) based on the length of the human foot and used only in English-speaking nations, where it typically consists of 12 inches or one-third yard.

The foot measured [tex]11^{\frac{1}{42}[/tex] inches in antiquity. The typical man's foot measures 12 inches in length nowadays.

Given that:

The length of the wooden board is given as = 108 inches.

As it is cut in 2 equal parts, it becomes: 108/2 = 54 inches in each

We have to calculate the length of each part in feet, so divide 54 by 12.

As we know,

12 inches = 1 feet

Thus, 54 inches = 54/12 feet = 4.5 feet

So, the length of each part is 4.5 feet.

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Which angles are alternate exterior angles?


1. EFH and BCF

2. EFH and DCA

3. EFH and EFC

4. EFH and BCA

Answers

∠EFH and ∠ACD are angles of alternate exterior angles in the figure as  alternate external angles are those that are generated on the outer side of the parallel lines .

what are angles ?

When two straight lines connect at a 90° angle or are perpendicular to one another, an angle is formed. The symbol denotes a right angle. In the picture up above, many right angle formations are visible. Shapes include the correct angles. Triangles classified as right triangles have one of their internal angles at a 90 degree right angle. The three interior angles of a triangle add up to 180 degrees, so the three interior angles of a right triangle must always add up to 90 degrees because one of them is always 90 degrees.

given

The pair of angles known as alternate external angles are those that are generated on the outer side of the parallel lines but on the transverse side.

sum up to 180 degrees, you can calculate the size of the inner angle adjacent to it if you know the size of the outer angle (since together they are the angle on a straight line). The internal angles at the other two vertices are added to create the outer angle of a triangle.

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On a coordinate plane, a line is drawn from point C to point D. Point C is at (negative 1, 4) and point D is at (2, 0).
Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

d = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot
units

Answers

The length of the line is 5 units.

What is distance?

The distance between two points is the length of the line joining the two points.

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

Given that, endpoints are (-1,4) and (2,0) of the line segment.

The length= √(2+1)²+(0-4)²

                 =5units

Hence, The length of the line is 5 units.

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please help me !!

literally struggling right now !!

Answers

The solution to the inequality, 2/3z > 4/5, is calculated as z > 1.2.

Multiply both sides by 3/2:
2/3z × 3/2 > 4/5 × 3/2
z > (4 × 3) / (5 × 2)
z > 12 / 10

z > 6/5
z > 1.2

I don't understand help

Answers

Volume of the triangle is 1420m³ given in the question.

What is Volume?

There are various volumes for various geometric shapes. Cubes, cuboids, spheres, cylinders, cones, etc. are examples of common 3D shapes that we encounter on a daily basis.

Finding the volume is simple when dealing with shapes with a flat surface, like a cube or a cuboid. Cones, cylinders, and spheres are examples of curved shapes, and it is necessary to take into account both their curved surfaces' dimensions and their overall curvature. Possibly their diameters or radii

The term "irregular solids" refers to solids that lack precise measurements or shapes. A fixed formula that can be used to calculate the volumes of such solids is typically absent. It is possible to obtain these volumes in a variety of ways, one of which is the liquid displacement method, which is based on the Archimedes Principle.

Now volume triangle = area × height

⇒ 1/2 × 20 × 14.2 × 10

= 1420m³

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if a flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches what is the height of the screen?
Draw a picture the in solve for the missing side.​

Answers

The height of the screen will be;

⇒ h = 28 inches

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

A flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches.

Here,

The diagonal of the screen television = 53 inches

And, The width of the screen television = 45 inches

Let the height of the television = h

So, By the Pythagoras theorem, we get;

⇒ AC² = AD² + DC²

Where, AC = Diagonal of television.

AD = Height of the television

DC = Width of the television.

Substitute all the values, we get;

⇒ 53² = h² + 45²

⇒ 2809 = h² + 2025

⇒ 2809 -2025 = h²

⇒ h² = 784

⇒ h = √784

⇒ h = 28 inches

Thus, The height of the screen = 28 inches

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On a coordinate plane, the center of dilation is at (0, 0). Triangle A B C is dilated to create triangle A prime A C prime. The points of A B C are (negative 3, 3), (negative 1, 1), and (negative 3, 1). The points of A prime A C prime are (negative 9, 9), (negative 3, 3), and (negative 9, 3).
The dilation DO,3 (x, y) → (3x, 3y) is performed on the pre-image △ABC to make a similar triangle. Which statements are true? Check all that apply.

∠A corresponds to ∠A'.
∠A'AC' corresponds to ∠B.
CB corresponds to C'A.
Segment A'A is parallel to segment C'C.
△ABC ~ △A'AC'.

Answers

The true statements after a dilation of scale factor 3 are,

∠A corresponds to ∠A' and Triangle ABC is similar to triangle A'B'C'.

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, The points of ABC are (negative 3, 3), (- 1, 1), and (- 3, 1).

The points of A'BC' are (- 9, 9), (- 3, 3), and (- 9, 3) after a dilation of 3, (x, y) ⇒ (3x, 3y).

We know dilation maintains the similarity of the dilated figures.

Therefore, The statements that are true,

∠A corresponds to ∠A' as dilation maintains similarity.

Triangle ABC is similar to triangle A'B'C'.

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Answer:

Options A,B,C,E

Step-by-step explanation:

A submarine descends 175 ft underwater in 5 minutes. The rate of descent is constant. What is the rate of descent per minute?​

Answers

In linear equation, 35 feet per minute is the rate of descent per minute.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.        

                         Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

It’s 35 feet per minute. 175 divided by 5 equals 35.

   A submarine descends =  175 ft

                   Time = 5 minutes

         The rate of descent is constant = 175/5

                                             = 35 feet per minute

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The square on the right is a scaled copy of the square on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
8
8
4

Answers

Writing the whole number in the numerator and 1 in the denominator. Fraction in simplest form is 8

In the simplest form, how do you write an answer as a fraction?

How to Find the Most Basic Form

Determine the GCF of the fraction’s numerator and denominator.

Divide the created GCF by the numerator and denominator.

Fill in the blanks with the simplified fraction of the supplied fraction.

The most basic form, If the top and bottom have no common components other than 1, the fraction is in its simplest form. In other words, the top and bottom cannot be divided any further and still remain full numbers. You may sometimes hear the phrase “lowest terms” when referring to the simplest form.

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Each square inch of your body has about 6. 5 × 10^2 pores. Suppose the top of your foot has an area of about 2. 0 × 10^1 in. ^2. About how many pores are on the top of your foot?

Answers

The number of pores that are on the top of your foot is approximately 13,000 pores on the top of your foot.

To find the number of pores on the top of your foot, we can multiply the area of the top of your foot in square inches by the number of pores per square inch.

The area of the top of your foot is 2.0 x 10^1 in^2 and each square inch of your body has about 6.5 x 10^2 pores. So, the number of pores on the top of your foot can be calculated as:

2.0 x 10^1 in^2 * 6.5 x 10^2 pores/in^2 = 130 x 10^2 pores = 13000 pores

So, there are approximately 13,000 pores on the top of your foot.

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Solve the equation 2^x=1/32•x=

Answers

Answer:

2^x=1

x=0

32•x=0

32.0=0

maybe

A survey of 6000 adults found that 58% say that they would take a ride in a fully

self-driving car. A normal distribution may be used to model the sample proportion.

At 95% confidence, the margin of error for this estimate was 2. 4%. Find the 95%

confidence interval of the true proportion who said that they would take a ride in a

self-driving car.

Source: World Economic Forum and Boston Consulting Group

Answers

As per the conditions given by the question, the 95% confidence interval of the true proportion who said that they would take a ride in a self-driving car is (53.3856%, 62.6144%).

Now, According to the question:

What is confidence interval?

A confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

To find the 95% confidence interval of the true proportion, we need to use the following formula:

point estimate +/- (margin of error * z-score)

The point estimate in this case is the sample proportion, which is 58%. The margin of error is 2.4%, and the z-score for a 95% confidence interval is 1.96.

Plugging these values into the formula, we get:

58% +/- (2.4% * 1.96)

This simplifies to:

58% +/- 4.6144%

So the 95% confidence interval is:

(53.3856%, 62.6144%)

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8.5x + 0.5 + 3.5x - 2x

Answers

Answer:

-0.05

Step-by-step explanation:

10x+0.5

10x=-0.5

x=-0.5/10

x=-0.05

The answer is -0.05 because you do the math in your head and you get the answer by using the things you were taught

5 whole 1/7- 2 whole 5/21

Answers

The value of 5 1/7 minus 2 5/21 will be 2 19 / 21.

How to solve the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Based on the information, the value of 5 1/7 minus 2 5/21 will be:

= 5 1/7 - 2 5 / 21

= 5 3/21 - 2 5 / 21

= 2 19 / 21

The value is 2 19/21.

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Question 1
Solve for x.
x(x + 6) = 0
Write your answers as integers or as proper or improper fractions in simplest form.
X =
|
X =

Answers

Answer:

[tex]x=-6, 0[/tex]

Step-by-step explanation:

Using the zero-product property, we know that [tex]x=0[/tex] or [tex]x+6=0[/tex].

This means [tex]x=-6, 0[/tex].

9. Expand :
(i) (3x - 4y + 5z)² (ii) (2a-5b-4c)²
(iii)
(5x + 3y)³
(iv) (6a - 7b)³

Answers

Answer:

Step-by-step explanation:
(i) (3x - 4y + 5z)^2
(a - b + c ) ^2 = a^2 + b^2 + c^2 - 2ab - 2bc + 2ca
9x^2 + 16y^2 + 25z^2 - 24xy - 40yz + 30zx

(ii) (2a - 5b - 4c)^2
(a - b - c)^2 = a^2 + b^2 + c^2 - 2ab + 2bc - 2ac
4a^2 + 25b^2 + 16c^2 - 20ab + 40bc - 16ac

(iii) (5x + 3y)^3
(a + b)^3 = a^3 + b^3 + 3ab(a+b)
125x^3 + 27y^3 + 3×5×3(5+3)
125x^3 + 27^3 + 360

(iv) (6a - 7b)^3
(a - b)^3 = a^3 - b^3 - 3ab(a-b)
216a^3 - 343b^3 - 3×6×7(6-7)
216a^3 - 343b^3 + 126
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