he sun of the digits of a certain two digit number is 6. if the original number is subtracted from the number formed by interchanging the digits, the result is 36. find the original number

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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Answer:

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

Step-by-step explanation:

The lateral Surface Area of ​​a Cylinder  is is 345  cm²  

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

lateral Surface Area of ​​a Cylinder  is :

L= 2 × π × r × h

where, r = base radius,

and h = height of the cylinder

L= 2 × 3.14 × 4.9 × 11.2

=> L=  344.646  cm²

Nearest whole number: 345  cm²

The lateral Surface Area of ​​a Cylinder  is is 345  cm²  

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Answer:

We can solve for x by using logarithms.

9^(x + 10) + 3 = 92

9^(x + 10) = 89

Take the log base 9 of both sides:

x + 10 = log9(89)

x = log9(89) - 10

To find the value of log9(89), you can use a logarithm table or calculator.

The solution for x is:

x = log9(89) - 10

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 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:

[tex] - \frac{8}{7} - ( - \frac{6}{5}) \\ \\ \longrightarrow \: - \frac{8}{7} \: \: + \: \: \frac{6}{5} \\ \\ taking \: LCM \\ \\ \longrightarrow \: \frac{ - 40 + 42}{35} \\ \\ \longrightarrow \: \boxed{ \frac{2}{35} }[/tex]

hope helpful! :-;

Answer:

3.814697266x10

Step-by-step explanation:

She will travel a distance of 62.8 feet × 5 revolutions = 314 feet.

Calculate the circle of the carousel (the distance around the outside) and multiply it by the number of revolutions to determine how far Sierra will move after five rotations.

The following equation can be used to determine the carousel's circumference:

Circumference = 2πr

Where "radius" refers to the carousel's radius and "" is an irrational integer roughly equivalent to 3.14. (in this case, 10 feet).

Substitute the values in the above equation, we get

Circumference = 2 × 3.14 × 10 feet

Circumference = 62.8 feet

Since Sierra will make five revolutions, she will travel a distance

= 62.8 feet × 5 revolutions = 314 feet.

Remember that this is only an estimate because the precise distance may have varied slightly depending on the carousel's speed and Sierra's position on it, among other things.

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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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By applying linear equation concept, it can be concluded that the number of stamps in the 25th month is 990 stamps

Linear equation is equations whose highest power of the variables is 1. The graph of a linear equation is a straight line.

y = mx + C where

m = Δy / Δx = slope of the line

C = constant

We have the following data:

Month    Number of stamps

   1                      30

   2                     70

   3                     110

   4                     150

   5                     190

As we look at the attached graph, this data is depicted as a linear graph. Thus we want to find the linear equation.

First, we calculate the m:

m = Δy / Δx

   = (70 - 30) / (2 - 1)

   = 40 / 1

   = 40

To find C, we pick one point, let say point (1,30) and input it into the equation:

 y = mx + C

30 = 40*1 + C

30 = 40 + C

 C = -10

Now we have the linear equation:

y = mx + C

y = 40x - 10

We want to know the number of stamps in the 25th month, so we input this value into the equation:

y = 40x - 10

   = 40*25 - 10

   = 1000 - 10

   = 990

Thus, the number of stamps in the 25th month is 990 stamps.

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Answer: 30 ft

Let's assume the original dimension of the carpet was LxW. Now let's have Lin cut a 1 foot wide strip from the length. That gives her a strip that's L feet long. She then cuts a strip from the other side, giving her another strip that L feet long. She then cuts a strip from the width, giving her a 3rd strip that's (W-2) feet long. And finally, she cuts a 4th strip that's also W-2 feet long. So the total length of all those strips is L + L + W - 2 + W - 2 = 2L + 2W - 4 feet long. And since all the strips are 1 foot wide, they cover 2L + 2W - 4 square feet. So: 2L + 2W - 4 = 26 2L + 2W = 30 Now the original perimeter of the carpet is 2L + 2W, therefore the original perimeter is 30 feet.

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?

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 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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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 height of the arch at a distance of 7.5 m from the center is 7m

It's important to keep in mind that a parabola has the usual form of y = a(x - h)2 + k, where (h, k) denotes the vertex and a determines the shape and vertical orientation. x and y are (100, 0) in. You are then provided with the parabola's equation.

What height of the arch, as measured from a point on the water 40 meters from the center of the arch, would sustain a bridge over a river?

The arch is 200 meters wide at water level and 80 meters tall at its tallest point

The peak of the arch might serve as the vertex and be located at position y0 on the y-axis if we wish to plot this on a graph or represent it in an equation

The equation of the parabolic arch is

x² = - 4ay

Lets take x and y for first case as (14, 30)

⇒ 14² = - 4a(30)

⇒ a = −49/30

Now we have a so lets put the formula for another variable to find height

Here, y = 7.5

​x² = - 4ay

⇒ ​x² - 4(-49/30)(7.5)

x = 7

Thus, The height of the arch at a distance of 7.5 m from the center is 7m.

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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 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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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:

How to solve you question!

First, combine multiplied terms into a single fraction.

Like this! (click first file)

sorryyy, i had to do it virtually bc i couldnt find a pencil -.-

then, multiply it by 1.

Like dis! (click second file)

Then, find the common denominator. :>

like dis!!

(obvi, click the third file)

Then, your solution will be dis. (click fourth file.)

Now that we know our solution for the first one, lets do the second one now.

now, if you have the same answers for both, that means, yes, they are equivalent. If no, they are not. If this helped you, please answer my one question of my profile. Thanks!!

The graph which represents the linear equation y = 1/2 x + 2 is the graph of a line passing through the points (-4, 0) and (0, 2).

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

The slope intercept form of a line is,

y = mx + c,

m : slope and c : y intercept

y intercept is the y coordinate of a point when x coordinate equals 0.

Given linear equation is y = 1/2 x + 2.

m = 1/2 and c = 2

Find the slope and y intercept of each of the line in the options given.

In the first option, we have the point (0, -2).

y intercept of this line = -2, which is not the required y intercept.

In the second option, points given are (-4, 0) and (0, 2).

Since we have the point (0, 2), y intercept = 2

m = (2 - 0) / (0 - -4) = 2 / 4 = 1/2

So the line in the second option is the required line.

Hence the graph of the line represented in the second option is the required line.

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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:400

Step-by-step explanation:

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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Alfred sold 98 + the minimum required tickets, so the total number of tickets he sold is 98 + the minimum required.

1. Alfred reported that he raised 98 dollars more than the minimum required.

2. To get the total number of tickets he sold, we will need to add the 98 dollars more than the minimum required to the minimum required amount.

3. Therefore, the total number of tickets Alfred sold is 98 + the minimum required.

Alfred sold 98 + the minimum required tickets, so the total number of tickets he sold is 98 + the minimum required.

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The required consumer surplus for the given question is $1000.

The consumer surplus can be calculated by finding the difference between the maximum price the consumers are willing to pay and the actual market price.

Given the demand equation QD = 800 - 100P and the supply equation QS = -100 + 200P, we can find the market equilibrium price and quantity by setting QD = QS and solving for P

800 - 100P = -100 + 200P

900 = 300P

P = 3

So, the market equilibrium price is P = 3, and the market equilibrium quantity is Q = QD = QS = 800 - 100P = 800 - 100 * 3 = 500.

To find the consumer surplus, we need to find the area between the demand curve and the market price. The demand curve can be represented by a linear equation: QD = 800 - 100P. The maximum price the consumers are willing to pay for each quantity can be found by substituting the quantity into the demand equation:

Q = 500: 800 - 100P = 500 => P = 5

So, the maximum price the consumers are willing to pay for Q = 500 is P = 5. The consumer surplus can be found by calculating the area of the triangle between the market price P = 3 and the maximum price P = 5:

Consumer Surplus = 1/2 * (5 - 3) * 500 = 1000

So, the consumer surplus is $1000.

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The Answer Is Underneath This Sentence.

Step-by-step explanation:

Its The First One.

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

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The total amount when $9500 is invested at 10% simple interest for 5 years is $14, 250

It is important to note that the formula for simple interest is expressed mathematically with the equation;

I = PRT/100

The parameters are given;

From the information given, we have the values of the principal amount, time and the interest rate

Substitute the values, we get;

Simple interest, I = $9500 × 10×5/100

Multiply the values

Simple interest, I = $475, 000/100

Divide the values

Simple interest, I = $4, 750

Thus, the total amount is $14, 250

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