1. A car uses 40 litres of petrol to drive 500 km. Calculate the rate of petrol consumption in km per litre.​

Refer the table attached for the empirical formula calculations

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

calculate the percentages By the atoms' relative atomic mass, divide them. The values are obtained after division. The`1 ratio that results from dividing all of the values by the value that is the least will serve as the empirical formula.

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The monthly payment is $48.56.

What is the down payment?

A down payment is a payment made by a borrower to a lender in advance of a loan in order to reduce the amount to be borrowed. It is usually a percentage of the purchase price of an item, such as a house or a car, and is paid when the loan is being taken out.

The amount of the down payment made by Hang Yo is $925 * 10% = $92.50.

The amount financed is $925 - $92.50 = $832.50.

The finance charge is 5% of the amount financed, or $832.50 * 5% = $41.63.

The total amount to be paid back over 18 months is $832.50 + $41.63 = $874.13.

the monthly payment is $874.13 / 18 months = $48.56 (rounded to the nearest cent).

Hence, the monthly payment is $48.56.

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The  term could be put in the blank to create a fully simplified polynomial written in standard form is  x²y².

option A.

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

From the given polynomial equation 8x³y² ------ + 3xy² - 4y³

Here the power of x decreases by 1, so the the power of x of the next term will x²y².

Thus, the complete polynomial equation would be 8x³y² - x²y² + 3xy² - 4y³

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Answer:

The ratio of the population of Japan to the population of Brazil is 1.30 x 108 : 1.95 x 108, which can be simplified to 13:19. Therefore, x = 6.

Step-by-step explanation:

b. Distribution B has a higher variance is an accurate statement regarding these two distributions.

Variance is a measure of the spread of a probability distribution. It tells us how far away from the mean values in the distribution are. The higher the variance, the more spread out the values are.

In this case, Distribution B has a higher variance than Distribution A. To calculate the variance of a distribution, we use the formula:

[tex]$$\sigma^2 = \sum_{i=1}^{n} (x_i - \mu)^2 \cdot P(x_i)$$[/tex]

Where [tex]$x_i$[/tex] is a possible value, [tex]$P(x_i)$[/tex] is the probability of that value, and [tex]$\mu$[/tex] is the mean of the distribution. If we use this formula to calculate the variance of each distribution, we'll find that the variance of Distribution B is larger than the variance of Distribution A.

This means that the values in Distribution B are more spread out and less consistent than the values in Distribution A, making Distribution B have a higher variance.

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The sequence of transformations that will map polygon JKLM onto polygon YXWZ is given as follows:

A translation by <-6, -5>, then a rotation 90º counterclockwise about the origin, and a reflection across the y-axis.

The vertices of polygon JKLM are given as follows:

J(-4,1), K(0,0), L(2,2) and M(0,-6).

The equivalent vertices on polygon YXWZ are given as follows:

Y(6,2), X(5,6), W(7,8), Z(-1,6).

Hence the composite rule for the y-coordinate is given as follows:

x + 6.

Which means that at some point y = x, hence there was a 90º counterclockwise rotation.

The addition to 6 means that there was a translation adding/subtracting 6 to the x-coordinate, hence the last option is correct.

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The series of transformation that maps the polygon JKLM to the polygon YXWZ are;

A rotation 90° about the origin, then a reflection about the x-axis and a translation by (5, 6)

A transformation involves the change in the position, size, shape of orientation of a geometric figure.

The coordinates of the vertices of the polygon JKLM are; J(-4, 1), K(0, 0), L(2, 2), and M(0, -6)

The coordinates of the vertices of the polygon YXWZ are; Y(6, 2), X(5, 6), W(7, 8), and Z(-1, 6)

Point J in JKLM corresponds to point Y in YXWZ

A rotation of point J 90° clockwise produces the image, (1, 4)

A reflection of the point (1, 4) across the x-axis produces an image at the point (1, -4)

A translation (5, 6), produces the point (6, 2)

Therefore, the series of rigid transformations that maps the image YXWZ, from the preimage JKLM are;

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Answer:

The simplified expression is 5x² + 2x - 4.

Step-by-step explanation:

The candy will be 2 feet in the air after approximately 0.19 seconds (to the nearest thousandth).

The answer closest to this value is option d, 0.625 seconds.

The equation to model the height of the candy thrown by Elmo is given by:

h = -16t^2 + 10t + 3

To find the time when the height of the candy is 2 feet,

We need to solve for t when h = 2:

2 = -16t^2 + 10t + 3

Expanding and rearranging the equation:

-16t^2 + 10t - (-1) = 0

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / 2a

Where a = -16, b = 10, and c = -1.

Plugging in the values:

t = (-10 ± √(10^2 - 4(-16)(-1))) / 2(-16)

t = (-10 ± √(100 + 64)) / (-32)

t = (-10 ± √(164)) / (-32)

t = (-10 ± 4) / (-32)

t = (-14 / -32) and (-6 / -32)

t = 14/32 and 6/32

The smaller value, 6/32, represents the time after which the candy will be 2 feet in the air.

Converting it to a decimal:

6/32 = 0.1875 seconds

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The scatterplot that displays the line of best fit for the data would be the scatterplot that includes the calculated line of best fit plotted on the graph along with the data points.

A line of best fit, also known as a regression line, is a line that represents the relationship between two variables in a scatterplot. The line of best fit is used to describe the overall trend in the data and can be used to make predictions about one variable based on the values of the other variable.

The line of best fit in a scatterplot can be represented as a straight line, a polynomial, or another type of mathematical function, depending on the relationship between the variables. To find the line of best fit, the student would need to use statistical techniques such as linear regression or polynomial regression to calculate the equation of the line that best represents the data.

The line of best fit is then plotted on the scatterplot along with the data points, creating a visual representation of the relationship between the two variables. The line of best fit can be used to make predictions about one variable based on the values of the other variable, and to determine the strength and direction of the relationship between the two variables.

Thus, In conclusion, the scatterplot that displays the line of best fit for the data would be the scatterplot that includes the calculated line of best fit plotted on the graph along with the data points.

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The scatterplot that displays the line of best fit for the data is the scatterplot that includes the computed line of best fit drawn on the graph with the data points.

The scatterplot that includes the computed line of best fit shown on the graph with the data points is the scatterplot that displays the line of best fit for the data.

A line of best fit, also known as a regression line, is a line in a scatterplot that illustrates the connection between two variables. The line of best fit is used to depict the general trend in the data and may be used to forecast one variable based on the values of another.

Depending on the relationship between the variables, the line of best fit in a scatterplot can be depicted as a straight line, a polynomial, or another sort of mathematical function. The learner would need to apply statistical techniques such as linear regression or polynomial regression to derive the equation of the line that best represents the data in order to obtain the line of best fit.

The line of best fit is then drawn alongside the data points on the scatterplot, producing a visual depiction of the connection between the two variables. The line of best fit may be used to anticipate the value of one variable based on the value of another variable, as well as to identify the strength and direction

To summarize, the scatterplot that displays the line of best fit for the data is the scatterplot that includes the computed line of best fit drawn on the graph with the data points.

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Answer:

Answer is (C) .....

Subtract 3 from both sides of the equation, and then divide both sides by 2.

The probability the stone lands on a black tile is 5/9

This question uses the fundamental counting principle, The fundamental counting principle states that if there are m choices for one event and n choices for another event, then there are m x n total choices for the two events combined.

The total number of outcomes is the product of the number of choices for each event.

Given:

Count the number of black tiles in the arrangement.

There are 5 black tiles.

Count the total number of tiles in the arrangement.

There are 9 total tiles.

Calculate the probability of the stone landing on a black tile.

Probability = (No. of favourable outcomes) / (Total no. of favourable outcomes)

The probability of the stone landing on a black tile is 5/9.

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We can use a sorting algorithm such as Insertion Sort, Selection Sort, Merge Sort, or Quick Sort to sort the array in increasing order. This will convert the array into a non decreasing array.

1. Initialize a sorting algorithm of your choice.

2. Compare two adjacent elements and swap them if they are not in the desired order.

3. Repeat step 2 until the array is sorted.

4. After sorting, the array will be in non decreasing order.

We can use a sorting algorithm such as Insertion Sort, Selection Sort, Merge Sort, or Quick Sort to sort the array in increasing order. This will convert the array into a non decreasing array.

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The pattern followed is: 3ⁿ / 3ⁿ⁻¹ = 3. b. When the value of 3⁻¹ = 1/3. c. Similarly, following the pattern the value of 3⁻² = 1/9.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 64. In this case, the exponent is 4 and the base is 6. This can be understood as 4 increased to the power of 6.

Given that 3² = 9, 3¹ = 3, 3⁰ = 1,

Here, 3²  / 3¹ = 3

3¹ / 3⁰  = 3

We observe that the quotient of the former term with the later term is always 3. Thus, the pattern followed is:

3^n / 3ⁿ⁻¹  = 3

b. When the value of n = 0, 3⁰  / 3⁻¹ = 3

1 / 3⁻¹= 3

3⁻¹ = 1/3

c. Similarly, following the pattern the value of 3⁻² = 1/9.

Hence, the pattern followed is: 3ⁿ / 3ⁿ⁻¹ = 3. b. When the value of 3⁻¹ = 1/3. c. Similarly, following the pattern the value of 3⁻² = 1/9.

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As a result, the function [tex]f(x)=-2x^5+3x^3[/tex] has values of 405 for f(3) and 88 for f(-2) when x is substituted for 3 and 2, respectively.

Statistics and their variations, equations but also associated structures, shapes as well as their locations and potential locations, are all topics covered in algebra. The interaction between a collection of inputs, each of which has an associated output, is referred to as a "function." An relationship between inputs and outputs, where each input yields a single, distinct outcome, is called a function. For each function, a region and a minimal area, or scope, are designated. The letter f is frequently used to represent functions (x). X is the input. The four basic kinds of functions that are offered are on actions, one-to-one operations, many-to-one functions, within functions, and on functions.

given

[tex]f(x)=-2x^5+3x^3f(3) = -2(3)^5 + 3(3)^3[/tex]

= -486 + 81

= 405

ii)[tex]f(x)=-2x^5+3x^3f(-2) = -2(-2)^5 + 3(-2)^3[/tex]

= -64 - 24

= - 88

As a result, the function [tex]f(x)=-2x^5+3x^3[/tex]has values of 405 for f(3) and 88 for f(-2) when x is substituted for 3 and 2, respectively.

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The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

We have,

Increasing the minimum wage to $8.00 per hour can have some impact on the demand for clothes.

Here are a few potential effects to consider:

Increased purchasing power:

When the minimum wage is increased, low-wage workers have more disposable income. This extra income can lead to increased consumer spending, including on clothing.

As a result, there could be a boost in the demand for clothes as more people can afford to purchase new clothing items.

A shift in consumer preferences:

With a higher minimum wage, individuals who previously had limited resources may now have the ability to choose higher-quality clothing or purchase from more expensive brands.

This shift in consumer preferences could lead to changes in the demand for different types of clothes and potentially result in an increase in demand for higher-end or premium clothing.

Price sensitivity:

While an increase in the minimum wage may provide workers with more spending power, some individuals may still be price-sensitive and prefer more affordable clothing options.

As a result, there may be continued demand for lower-priced clothing items or a preference for sales and discounts.

Employment and production costs:

An increase in the minimum wage could potentially lead to higher labor costs for clothing manufacturers and retailers.

To mitigate these increased costs, businesses may take steps such as adjusting their pricing strategies, implementing cost-saving measures, or exploring more efficient production methods.

These factors could impact the overall supply of clothes and potentially influence prices.

Thus,

The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

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The Answer Is Underneath This Sentence.

Step-by-step explanation:

Its The First One.

The probability that all red balls will be selected is 0.0083.

The total number of ways to select 6 balls from the jar is 12C6, which is equal to 495. The number of ways to select only red balls is 4C6, which is equal to 1. So, the probability of selecting all red balls is 1/495 = 0.0083. This means that only a small chance of selecting all red balls exists among all possible selections of 6 balls.

Probability is a mathematical concept that provides a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means an event is impossible and 1 means an event is certain to occur.

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2^x · 3^y · 108 = 2^a · 3^b. The sum of a and b in terms of x and y is option C. x + y + 4

To solve for a and b, we need to determine what they equal in terms of x and y.

First, we can simplify the right side of the equation:

2^a · 3^b = 2^a · (3^2)^(b/2) = 2^a · (2^3)^(b/2) = 2^(a + 3b/2)

Next, we simplify the left side of the equation:

2^x · 3^y · 108 = 2^x · 3^y · (2^2 · 3^2) = 2^x · 3^y · (2^2)^(log3(108)/log3(2^2)) · 3^2 = 2^x · 3^(y + 2)

Comparing the two sides of the equation, we see that:

a + 3b/2 = x + (y + 2)

Solving for a and b, we get:

a = x + y

b = 2(y + 2)

So, the sum of a and b is:

a + b = x + y + 2(y + 2) = x + y + 2y + 4 = x + 3y + 4.

The answer is therefore C: x + y + 4.

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Each interior angle in the pentagon in Washington, D.C., measures 108 degrees.

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To solve the equation 5x^2 - x - 5 = 0, you can use the quadratic formula.

First, rearrange the equation to have 0 on the right side:

5x^2 - x - 5 = 0

Next, use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a

where a = 5, b = -1, and c = -5.

Plug in the values:

x = (-(-1) ± √((-1)^2 - 4 * 5 * -5)) / 2 * 5

x = (1 ± √(1 + 100)) / 10

x = (1 ± √101) / 10

So the two solutions are:

x = (1 + √101) / 10

x = (1 - √101) / 10

--The question is incomplete, answering to the question below--

"How to solve 5x^2-x = 5?"

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Answer:

Step-by-step explanation:

Thats true

The cyclist rode 131 miles in 7 hour

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

The cyclist rode at a constant velocity of 21mph for 3 hours.

21 x 3 = 63 miles

Then she decreased the rate of velocity to 17mph for 4hours.

63 + (17 x 4) = 63 + 68 = 131 miles

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Correctly written question:

A cyclist rode at constant speed of 21 mph for 3 hours. Then, she decreased her rate of speed to 17 mph for 4 hours. How far did the cyclist ride in 7 hours?

A 16-inch pizza might serve 10–12 people if you're providing a meal with sides and appetizers.

Therefore, the correct answer is serve.

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Answer:

3.814697266x10

Step-by-step explanation:

The amount of work done by friction is 72 Joules (60 N x 1.2 m = 72 J).

The amount of work done by friction can be determined using the equation W = Fd, where W is work, F is force, and d is distance. In this case, the friction force is 60 N, and the distance is 1.2 m. Therefore, the amount of work done by friction is 72 Joules (60 N x 1.2 m = 72 J).

The amount of work done by friction can be thought of as the energy required to overcome the friction between the baseball player and the third base. The friction force acts in the opposite direction of the player's motion, opposing their forward momentum. As the player slides into third base, they must do work to overcome the friction force and move forward. The work done by friction is equal to the amount of energy that the player must expend to complete the motion.

In this case, the player must do 72 Joules of work to overcome the friction force and slide into third base. This is equal to the friction force (60 N) multiplied by the distance (1.2 m). As the player slides over the surface of the base, they must do this amount of work to complete the motion.

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Answer:

y ≤ 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

hope this helps

so this how this problem is done hope you understood

The required number of birdhouses can be made through the 13 feet of wood are 5 birdhouses.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
A birdhouse consists of 2 1/2 feet of wood,
he has a total of 13 feet of wood.
Number of birdhouses
= ratio of wood total length / used to build one birdhouse
= 13 / [2 /1/2]
= 5.2
≈ 5

Thus,  the required number of birdhouses can be made through the 13 feet of wood are 5 birdhouses.

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The quadratic inequality that represents the graphs is

The line in the graph is a solid line hence the equation will have a greater than or equal to or les than or equal to

For shading  above the curve the is greater than or equal to.

comparing with the equation

y = a(x - h)² + k

where

h  and k are the coordinates at the vertex

For a graph opening upward "a" is positive

The first option matches the conditions

y ≥ 2/3 (x + 3)² - 23

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