Evaluate the function for the given value. g(x) = 7x + 6

Answer:3/7

Step-by-step explanation:

36 divided by 12   then 84 divided by 12

therefore 36/84 simplified to the  lowest terms is 3/7

Answer:

4.5%

Step-to-Step Explanation:

[tex]y=8700*1.045^{x}[/tex]

[tex]y=a(1+r)^{x}[/tex]

1 + r = 1.045

r = 1 - 1.045

r = 0.045

Multiply 0.045 by 100 to ger 4.5%

r = 4.5%

Answer:

Fill in each blank with ONE word to create a sentence to explain slope in the context of this problem: The amount of [dependent variable] is [changing] at a rate of [slope] [units of dependent variable] per [unit of independent variable].

Step-by-step explanation:

The graph for the given question is mentioned below.

A graph is a visual representation of data or information that is used to display and communicate relationships between variables or categories. Graphs can take many forms, including line graphs, bar graphs, pie charts, and scatter plots, among others. They are commonly used in fields such as science, economics, and statistics.

As the price of a set of four tires has decreased from $250 to $175, we can illustrate this scenario using a demand and supply graph with  quantity on the horizontal and size on the vertical axis.

The graph should show a leftward shift of the demand curve, indicating that consumers are willing to buy more tires at a lower price. The supply curve remains constant, indicating that the supplier is willing to sell the same quantity of tires at a lower price. Therefore, the correct graph should be:

               |      P

       250 |     \

               |       \ Supply

               |         \

               |           \

       175  |              \    

               |                \

               |                  \ Demand (after discount)

               |                    \

                     Q

where P is the price, Q is the quantity, and the demand curve has shifted to the right.

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Step-by-step explanation:

for the function

�

(

�

)

=

2

�

2

−

8

g(x)=2x

2

−8

, q = 0, r = 2, s = 3, t = -3

The given function is:

�

(

�

)

=

2

�

2

−

8

g(x)=2x

2

−8

The inverse of

�

(

�

)

=

2

�

2

−

8

g(x)=2x

2

−8

for x ≥ 0 is

�

(

�

)

=

1

2

�

+

4

f(x)=

2

1

x+4

The inverse of

�

(

�

)

=

2

�

2

−

8

g(x)=2x

2

−8

for x ≤ 0 is

�

(

�

)

=

−

1

2

�

+

4

d(x)=−

2

1

x+4

For x = -8

�

(

−

8

)

=

−

1

2

(

−

8

)

+

4

�

(

−

8

)

=

0

d(−8)=−

2

1

(−8)+4

d(−8)=0

q = d(-8) = 0

r = f(0)

�

(

�

)

=

1

2

�

+

4

�

(

0

)

=

1

2

(

0

)

+

4

�

(

0

)

=

4

�

(

0

)

=

2

f(x)=

2

1

x+4

f(0)=

2

1

(0)+4

f(0)=

4

f(0)=2

r = 2

s = f(10)

�

(

�

)

=

1

2

�

+

4

�

(

10

)

=

1

2

(

10

)

+

4

�

(

10

)

=

9

�

(

10

)

=

3

f(x)=

2

1

x+4

f(10)=

2

1

(10)+4

f(10)=

9

f(10)=3

s = 3

t = d(10)

�

(

�

)

=

−

1

2

�

+

4

�

(

10

)

=

−

1

2

(

10

)

+

4

�

(

10

)

=

−

9

�

(

10

)

=

−

3

d(x)=−

2

1

x+4

d(10)=−

2

1

(10)+4

d(10)=−

9

d(10)=−3

Therefore, for the function

�

(

�

)

=

2

�

2

−

8

g(x)=2x

2

−8

, q = 0, r = 2, s = 3, t = -3

The value of variables are,

q = 0

r = 2

s = - 3

t = 3

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

g (x) = 2x² - 8

Now, We have;

For x ≥ 0;

The inverse function is,

⇒ f (x) = √1/2x + 4

And, For x ≤ 0;

The inverse function is,

⇒ d (x) = - √1/2x + 4

Hence, For x = - 8;

⇒ d (x) = - √1/2x + 4

⇒ q = - √1/2 × - 8 + 4

⇒ q = - √- 4 + 4

⇒ q = 0

For x = 0;

⇒ f (x) =  √1/2x + 4

⇒ r = √1/2 × 0 + 4

⇒ r =  √0 + 4

⇒ r = 2

For x = 10;

⇒ d (x) = - √1/2x + 4

⇒ t = - √1/2 × 10 + 4

⇒ t = - √5 + 4

⇒ t = - 3

For x = 10;

⇒ f (x) =  √1/2x + 4

⇒ s =  √1/2 × 10 + 4

⇒ s =  √5 + 4

⇒ s = 3

Thus, The value of variables are,

q = 0

r = 2

s = - 3

t = 3

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Answer:

points cuzo

but if i find it out i will edit

Step-by-step explanation:

The solution for the inequality expression given is x > -2.154.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given linear inequality is,

-5/7 (21x + 35) < 1/3 (9 - 6x)

We have to solve the inequality.

Using the distributive property,

(-5/7 × 21x) + (-5/7 × 35) < (1/3 × 9) - (1/3 × 6x)

-15x - 25 < 3 - 2x

-15x + 2x < 3 + 25

-13x < 28

-x < 2.154

Multiplying throughout by negative 1.

x > -2.154

Hence the solution is x > -2.154.

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Answer:

To find the total interest earned by the account after 25 years, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the total amount after t years

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $2,750, r = 0.0325, n = 1 (compounded yearly), and t = 25. Plugging these values into the formula, we get:

A = 2,750(1 + 0.0325/1)^(1*25)

A = 2,750(1.0325)^25

A = 2,750(2.0154)

A = $5,534.85

To find the total interest earned, we need to subtract the initial deposit from the total amount:

Interest = $5,534.85 - ($2,750 x 25)

Interest = $5,534.85 - $68,750

Interest = $-63,215.15

This result indicates that the account holder would have lost money over the 25-year period, as the interest earned was not enough to offset the annual deposits. However, it's worth noting that this calculation assumes no additional deposits or withdrawals were made during the 25 years. If the account holder had made additional deposits or withdrawals, the total interest earned would be different.

We have the following response after answering the given question: equation Hence, there are 22/45 female students at the dance.

In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilised. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.

Now, let's determine how many boys and females attend each school:

Middle School in Colfax

Boys: (5/9) * 270 = 150

Girls: (4/9) * 270 = 120

School in Winthrop:

Boys: (4/9) * 180 = 80

Girls: (5/9) * 180 = 100

Now, we can determine how many males and girls attended the dance overall:

Boys: 150 + 80 = 230

Girls: 120 + 100 = 220

Thus, the proportion of female students attending the dance is:

220 / (230 + 220) = 220 / 450 = 44/90 = 22/45

Hence, there are 22/45 female students at the dance.

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Answer:

Since the ratio of apples to the total pieces of fruit sold is 3/5, we know that the apples section of the graph represents 3/5 of the total angle of the circle graph.

The total angle of a circle is 360 degrees, so we can set up the equation:

3/5 x 360 = angle measure of the apples section

Simplifying the left side, we get:

216 = angle measure of the apples section

Therefore, the angle measure of the apples section of the graph is 216 degrees.

The implications for classroom practice relative to understanding implications for mathematics teaching .

What are the social cognitive theory's guiding principles?

The five following social cognition and behavior principles are discussed: (1) the influence of situation on conduct; (2) blindness to situational influences; (3) social perception and self-perception are constructive processes; (4) blindness to the constructed character of social and self-perception; and (5) self.

What does SCT mean by self-regulation?

When faced with externally imposed stimuli, self-regulation enables a person to maintain control over their behavior or response. A person's ability to self-regulate is strengthened through feedback, an externally imposed control that enables behavior modification.

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Angles 1 = 2 = 3 = 98° and 4 = 82° are measured.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection. The image serves as a right angle indicator. The angle formed when two chords cross paths inside of a circle is equal to half the sum of the chords' intercepted arcs. Hence, m1 = 50° and m2 = 130°.

The other angle measurements can be calculated using the diagram as follows:

∠1: ∠1 is a vertical angle to ∠2, so it is also 98°.

∠3: ∠3 is a corresponding angle to ∠2, so it is also 98°.

∠4: ∠4 and ∠2 form a straight angle, which means they add up to 180°. Therefore, ∠4 = 180° - ∠2 = 180° - 98° = 82°.

So, the angle measures are:

∠1 = ∠2 = ∠3 = 98°

∠4 = 82°

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The area under the curve of function f on [a, b] is the limit of both LRAMn f and RRAMn f as n approaches infinity.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The Left Riemann Sum (LRAM) and Right Riemann Sum (RRAM) of a non-negative, increasing function f on the interval [a, b] are defined as follows -

LRAMn f = (b - a)/n × [ f(a) + f(a + (b-a)/n) + f(a + 2(b-a)/n) + ... + f(a + (n-1)(b-a)/n) ]

RRAMn f = (b - a)/n × [ f(a + (b-a)/n) + f(a + 2(b-a)/n) + ... + f(a + n(b-a)/n) ]

As f is an increasing, non-negative function on [a, b], both LRAMn f and RRAMn f will be non-negative, and the area under the curve of f will also be non-negative.

Since f is increasing on [a, b], we have -

f(a) ≤ f(a + (b-a)/n) ≤ f(a + 2(b-a)/n) ≤ ... ≤ f(a + (n-1)(b-a)/n) ≤ f(b)

Therefore, LRAMn f will be less than or equal to the area under the curve of f on [a, b], which is less than or equal to RRAMn f.

That is -

LRAMn f ≤ Area under curve of f on [a, b] ≤ RRAMn f

So we can conclude that the area under the curve of f on [a, b] is bounded between LRAMn f and RRAMn f.

Therefore, as n increases, both LRAMn f and RRAMn f converge to the area under the curve of f on [a, b].

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Answer:

I can not help  you do you  have picture that i can use so i can give u the correct answer

Step-by-step explanation:

Answer:

ik....

Step-by-step explanation:

The precision and accuracy of the measurement of 11,000 tons are;

(a) The precision of the measurement is to the nearest ton

(b) The accuracy of the measurement is to two significant digits

The precision of a measurement

The precision of a measurement indicates the level to which the measurement can  be repeated or reproduced. The precision indicates the level to which the same measurement of the same quantity made using the same condition produces the same outputs.

A measurement with a high precision is one which has the measurement value of the quantity when the measurement is performed using the same conditions, produces similar results, while a measurement made with a low precision produces varying or different results under the same conditions

The precision is indicated by the number of significant digits of the measurement, and it depends on the quality of the measuring instrument, the skill of the person performing the measurement and the measurement conditions

The accuracy of a measurement

The accuracy of the measurement indicates the closeness of the value measured to the true value of the measured quantity, such that the accuracy indicates the effectiveness of the measurement, compared to the actual measured value.

The above definitions and examples indicates;

(a) The measurement of 11,000 tons which specifies the values in tons, indicating the thousands, hundreds, tens, and units, values is precise to the nearest ton.

(b) The number of significant digits in 11,000, is 2 significant digits, therefore, the measurement is accurate to 2 significant digits

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There are 90 calories to 1 serving.

Rate is a term which compares two things. It simply relates the amount of one variable to the amount of the other variable. An example is the rate of the distance covered by an object with time taken.

In the given question, we can deduce that;

270 calories in 3 servings would give;

amount of calories in 1 serving = 270/ 3

                                                   = 90

Also,

450 calories in 5 servings would give;

amount of calories in 1 serving = 450/ 5

                                                   = 90

Therefore, there are 90 calories to 1 serving.

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The missing side length on the figure is 9 yards

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

The figure

The missing length on the figure is represented with ?

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

? + 7 = 16

Evaluate

? = 9

Hence, the missing side length is 9 yards

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The missing side length is equal to 9 yd.

The rectangle is a quadrilateral.  The classification for quadrilaterals is given by the length of sides and angles. For a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

A rectangle is a geometric figure that has 4 sides called: length and width (W). Due to its characteristics, the rectangle presents two lengths (L) and two widths (W).

For solving this question, you should:

        The figure is composed of two rectangles:

          Rectangle 01 whose sides are: 6 yd (W) and 16 yd (L).

          Rectangle 02 whose sides are: 8 yd (W) and 7 yd (L).

If the length (L) of rectangle 01 is 16 yd, which is equal to the sum between the missing side and the length of rectangle 02 (7 yd). Thus

      16=s+7

      s=16-7

      s=9

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your given information is important because your first piece of info is the y intercept. The y intercept can be interpreted as (0,2). this is your initial point.

once you have that point, you can then use the slope to finish off your linear function. the slope is rise/run.

this means that you have to travel in the y direction, which is your rise. this means you have to go either in the positive or negative, depending on the number. in this case, it's -6, so we would go down 6.

then we would run 5 units in the x direction and same like the x it would be depending on the number being positive or negative. since we have a +5 it means we have to move 5 units to the right should have a graph that looks like a (\).

hope it helps.

We can write the diameter and circumference of the base as -

D = 2√(750ρ/πh)

C = 2π√(750ρ/πh)

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

Mathematically, we can write,

y = f(x) = ax + b.

Given is to find the diameter and height of the tin can.

Assume the density of coffee as {ρ}. We can write the volume of the tin can as -

Volume = mass x density

Volume = 750ρ

We can write -

πr²h = 750ρ

r = √(750ρ/πh)

D = 2r

D = 2√(750ρ/πh)

Now, we can write the circumference as -

C = 2πr

C = 2π√(750ρ/πh)

Therefore, we can write the diameter and circumference of the base as -

D = 2√(750ρ/πh)

C = 2π√(750ρ/πh)

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The equation it find the perimeter is y = 4x

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

Therefore the perimeter of a square e will be given as; l+l+l+l = 4l

if the sides of a square is x and the perimeter is given by y

then, y = x+x+x+x

y = 4x

therefore the equation that represents the perimeter of a square is y = 4x

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The shape that has the same perimeter but a different area than Sheri's design is option D.

What is perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

The figure contains sides with the measurements, 2 units, 4 units, 4 units, 2 units, 2 units, and 2 units.

The perimeter of the figure will be sum of all sides -

Perimeter = 2 + 4 + 4 + 2 + 2 + 2

Perimeter = 16 units

Therefore, the figure has perimeter of 16 units.

The area of the figure can be determined by adding the area of rectangle and square.

Side of the square measures 2 units.

The length of the rectangle is 2 units.

The breadth of the rectangle is 4 units.

So, the equation will be -

Area = Area of rectangle + Area of square

Area  = (l × b) + (side)²

Area  = (2 × 4) + (2)²

Area  = 8 + 4

Area  = 12 units²

Therefore, the figure has area of 12 units².

The diagram in option D contains sides with the measurements, 3 units, 1 unit, 1 unit, 3 units, 4 units, and 4 units.

The perimeter of the figure will be sum of all sides -

Perimeter = 3 + 1 + 1 + 3 + 4 + 4

Perimeter = 16 units

Therefore, the figure has perimeter of 16 units.

The area of the figure can be determined by adding the area of the two rectangles.

The length of the first rectangle is 1 unit.

The breadth of the first rectangle is 3 units.

The length of the second rectangle is 3 units.

The breadth of the second rectangle is 4 units.

So, the equation will be -

Area = Area of rectangle 1 + Area of rectangle 2

Area  = (l × b) + (l × b)

Area  = (1 × 3) + (3 × 4)

Area  = 3 + 12

Area  = 15 units²

Therefore, the figure has area of 12 units².

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Answer:

We can start the problem by using the formula for the area of a rectangle:

Area = length x width

The total area of the pool and the walkway is given as 360 square feet. Let's assume that the width of the walkway is w feet. Then, the dimensions of the entire area can be represented as (8 + 2w) by (10 + 2w) feet, since there is an additional width of w feet on both sides of the pool. Therefore, we can set up the equation:

(8 + 2w) x (10 + 2w) = 360

Expanding the left side and simplifying, we get:

4w^2 + 36w - 80 = 0

We can solve for w using the quadratic formula:

w = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 4, b = 36, and c = -80. Substituting these values into the formula, we get:

w = (-36 ± sqrt(36^2 - 4(4)(-80))) / 8

w = (-36 ± sqrt(1872)) / 8

w ≈ -5.6 or w ≈ 3.6

Since the width cannot be negative, we can discard the first solution. Therefore, the width of the walkway should be approximately 3.6 feet.

Step-by-step explanation:

Answer:

We can start the problem by using the formula for the area of a rectangle:Area = length x widthThe total area of the pool and the walkway is given as 360 square feet. Let's assume that the width of the walkway is w feet. Then, the dimensions of the entire area can be represented as (8 + 2w) by (10 + 2w) feet, since there is an additional width of w feet on both sides of the pool. Therefore, we can set up the equation:(8 + 2w) x (10 + 2w) = 360 Expanding the left side and simplifying, we get:4w^2 + 36w - 80 = 0We can solve for w using the quadratic formula:w = (-b ± sqrt(b^2 - 4ac)) / 2aIn this case, a = 4, b = 36, and c = -80. Substituting these values into the formula, we get:w = (-36 ± sqrt(36^2 - 4(4)(-80))) / 8w = (-36 ± sqrt(1872)) / 8w ≈ -5.6 or w ≈ 3.6Since the width cannot be negative, we can discard the first solution. Therefore, the width of the walkway should be approximately 3.6 feet.

Step-by-step explanation:

Step-by-step explanation:

We have the formula for the surface area of a rectangular box given by:

S = 4LW + 2WH

Substituting the given values, we get:

138 = 4(9)(3) + 2(3)H

Simplifying, we get:

138 = 108 + 6H

6H = 138 - 108

6H = 30

H = 30/6

H = 5

Therefore, the value of the unknown variable H is 5.

The length of RQ is 15. The solution has been obtained by using the properties of rectangle.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle.

We are given a figure PQRS which is a rectangle.

We know that the opposite sides of a rectangle are equal.

So,

⇒PS = RQ

⇒-1 + 4x = 3x + 3

⇒x = 4

On substituting x = 4 in 3x + 3, we get

3(4) + 3 = 15

Hence, the length of RQ is 15.

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Answer:

no

Step-by-step explanation:

orka:sweet potato

15:8 = 1.875

350:160 = 2.1875

Answer:

Star = 62

Step-by-step explanation:

To solve this, we need to find out what the value of the blue triangle is. To do this, we can take the right column, which adds up to -72, and divide that by 3.

So, the value of the blue triangle is -24.

Now that we know this, we can solve for the value of the green trapezoid. (Top row going horizontally). To do this, we need to take the total value and subtract the value of the blue triangle from it.

Now divide that by 2 to get the value of each trapezoid:

So, the value of the green trapezoid is 81.

To solve for the value of the orange diamond (middle row going down), we can take the total and subtract 2 green trapezoids from it.

To check, we can now do the middle horizontal row. Adding up the shapes:

This is the proper value, meaning that the value of the orange diamond is -57.

Just to recap:

Now, to solve for the value of the star, we can solve the row on the right going vertically. To solve for this, we must take the total value and subtract the value of the diamond and trapezoid from it.

To check once again, we can now do the row on the bottom going horizontally. Adding up the numbers:

This is the proper value, meaning that the value of the star is 62.

From the ratio of baking soda and salt, we found that when the mass of salt is 64 grams, the mass of baking soda in the mixture should be 128 grams.

What is meant by ratio?

A ratio in mathematics demonstrates how many times one number is present in another. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. Here, the dividend is referred to as the "antecedent" and the "consequent" is the divisor. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio describes the relationship between two separate entities or groups, whereas the part-to-whole ratio describes the relationship between a particular group and the entire.

The ratio of salt, baking soda and water is given as :

18 : 9 : 25

We are asked to find the mass of baking soda in a mixture when the mass of salt is 64g.

The ratio of baking soda and salt is 18:9

Let the mass of baking soda required be x.

x : 64 = 18 : 9

x/64 = 18/9

x = 18/9  * 64 = 2 * 64 = 128

Therefore from the ratio of baking soda and salt, we found that when the mass of salt is 64 grams, the mass of baking soda in the mixture should be 128 grams.

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Answer:

To compare two fractions, we need to make sure that they have the same denominator. In this case, we can convert 1/5 to an equivalent fraction with a denominator of 100 by multiplying both the numerator and denominator by 20:

1/5 = (1/5) x (20/20) = 20/100

Now we can compare 21/100 and 20/100. Since the numerator of 21/100 is greater than the numerator of 20/100, we know that 21/100 is greater than 20/100 or 1/5. Therefore, 21/100 is indeed greater than 1/5.

Step-by-step explanation:

Answer:

 1/5 is equal 2/10 equals 20/

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

More can be learned about dot plots at https://brainly.com/question/24309209

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