The quotient of ten and a number

The required horizontal and vertical asymptote is x = 2, -2, and y = 1/4.

To find the vertical asymptotes of the given rational function, we need to look for values of x that make the denominator zero, since division by zero is undefined.

The denominator of the function is 4(x-2)(x+2), so the vertical asymptotes occur at x = 2 and x = -2. Therefore, the vertical asymptotes are:

x = 2, -2

To find the horizontal asymptote, we can use the fact that as x goes to positive or negative infinity, the function approaches the ratio of the leading coefficients of the numerator and denominator.

In this case, the leading term in the numerator is x² and the leading term in the denominator is 4x². Therefore, as x approaches positive or negative infinity, the function approaches:

y = (x² / 4x²) = 1/4

So, the horizontal asymptote is:

y = 1/4

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Answer:The quotient of 8,426 divided by 82 can be found using long division or a calculator. When rounded to the nearest hundredth, the quotient is:

102.85

Therefore, the answer is 102.85.

Step-by-step explanation:

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

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Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

The Slope of the line is 1.

The slope of a line is a numerical value that shows the stiffness or direction of the line. The formula used to find the Slope of the line is given by  

Where (x₁, y₁) and (x₂, y₂) are pairs of points that pass through the line.

Here we have

The pair of points (-6, -5) and (-4, -3)

By using the formula,

The slope of the line = [ y₂ - y₁] / [ x₂ - x₁]

= [ -3 - (-5) ] / [ -4 - (-6) ]

= [ -3 + 5 ]/ [ -4 + 6 ]

= [ 2/2] = 1

Therefore

The Slope of the line is 1.

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Im not fully sure but it might be the 3rd one!

Option C i.e. number line with closed circle on negative 2 with arrow shaded right represents the solution to the inequality.

What is inequality?

An inequality is a comparison relationship between two or more mathematical expressions.

We are given an inequality as 0.5 is greater than or equal to the product of a number and −0.25.

Let the number be x.

So, from the above information, we get the inequality as

0.5 ≥ -0.25x

Now, on solving the above inequality, we get the following

0.5 ≥ -0.25x

On multiplying by -1, we get

⇒-0.5 ≤ 0.25x

On dividing both sides by 0.25, we get

⇒-2 < x

Hence, Option C i.e. number line with closed circle on negative 2 with arrow shaded right represents the solution to the inequality.

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Yeah, your right the answer would be -39.1%

Answer:

Step-by-step explanation:

its 1

Answer:Hello!-47 s the answer :)

Step-by-step explanation:

The percentage representation of T as part of S + T as required is; 40 percent.

As evident in the task content;

S is 150% of T.

S = 150/100 × T

S = 1.5T.

Therefore, expressing T as a percentage of S + T as required is as follows;

= (T / (S + T)) × 100%

substitute S = 1.5T into the equation

= T / (T + 1.5T) × 100%

= (1/2.5) × 100%

= 0.4 × 100%

= 40%.

Ultimately, the variable T is 40 percent of S + T.

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The IQ score given the mean and the standard deviation, can be found to be 105. 25.

To find the indicated IQ score corresponding to a right tail area of 0.3694, we can use a standard normal distribution table or calculator. Using a calculator, we can find that the z-score corresponding to a right tail area of 0.3694 is approximately 0.35.

Once we have the z-score, we can use the formula z = (x - μ) / σ to solve for the IQ score :

0.35 = (x - 100) / 15

Solving for x, we get:

x = 0.35 x 15 + 100

= 105.25

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The standard deviations of the data are different.

The formula used to calculate the standard deviation of data is given by

x - mean of the data and n = number of observations

Here we have

(a) 4, 5, 11, 13, 13, 14

Mean of the data = [4 + 5 + 11 + 13 + 13 + 14 ]/6 = 60/6 = 10

On calculating deviations

=> ∑(x[tex]_{i}[/tex] - x)² = 96

=> √[ ∑(x[tex]_{i}[/tex] - x)²/n ] = √[ 96/ 6 ] = 4    

(b) 5, 7, 10, 10, 13, 15

Since the mean of the data is equal for all  

On calculating deviations

=> ∑(x[tex]_{i}[/tex] - x)² = 68

=> √[ ∑(x[tex]_{i}[/tex] - x)² /n ] = √[ 68/ 6 ] = 3.36

(c) 3, 10, 11, 11, 12, 13

On calculating deviations

=> ∑(x[tex]_{i}[/tex] - x)² = 64

=> √[ ∑(x[tex]_{i}[/tex] - x)² /n ] = √[ 64/ 6 ] = 3.26  

Therefore,

The standard deviations of the data are different.

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Tom's total annual tax for the following year, assuming the tax table remains the same, is R325,287.17.

To calculate Tom's tax for the following year, we need to first calculate his current monthly PAYE (Pay As You Earn) deduction. We can use the current tax table to do this.

Tom's gross salary is R25,780.25 per month, and he is 45 years old, so according to the 2021/2022 tax table for individuals under 65 years old, his monthly PAYE deduction is:

= R1,458.75 + 25% of the amount over R14,958

= R4,569.96

Tom argues that his PAYE will increase by R593.09 for the following year. This means that his expected monthly PAYE deduction for the following year is:

= R4,569.96 + R593.09

= R5,163.05

Tom's salary for the following year will increase by 8.5%, so his new gross salary will be:

= R25,780.25 + (8.5% x R25,780.25)

= R27,959.83

Tom's pension fund contribution remains the same at 7.5% of his gross salary:

= R27,959.83 x 7.5%

= R2,097.49

His charity organization contribution increases by R50.00 per month:

= R50.00 x 12

= R600.00

Assuming the tax table remains the same as the previous year, Tom's new monthly PAYE deduction is:

= R1,577.98 + 26% of the amount over R17,708

= R5,502.86

To calculate Tom's total annual tax, we need to subtract his annual PAYE deduction from his gross salary and then add back his pension and charity contributions:

Total annual tax = (R27,959.83 x 12) - (R5,502.86 x 12) + R2,097.49 + R600.00

Total annual tax = R325,287.17.

Full question "Tom is 45 years old. He earns a gross salary of R25,780.25 per month.. Tom argues that his PAYE for the following year will increase by R593.09. The following year Tom's salary increases by 8.5%. How much tax will Tom pay per year, if he still contributes only 7.5% of his gross salary to a pension fund but increases his contribution to the charity organization by further R50.00 a month? Calculate as if the tax table for the following year remains the same."​

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Answer:

best of my knowledge hope its right -4

Step-by-step explanation:

Answer:

The inequality that represents this relationship is:

b + a < 2b

Answer:

me too (help)

Step-by-step explanation:

Thus, the archery set's discounted price is $61.10.

A reduction from the normal or list price. providing clients with a 10% discount. purchasing discounted tickets. (2): a proportionate reduction from an account of debt, typically provided in exchange for cash or quick payment.

The initial cost of the soccer jersey must be multiplied by (100% - 20%) = 80%, or 0.8, to determine the sale price after a 20% discount.

$85.75 x 0.8 = $68.60; Sale Price =Original Price multiplied by (1 - Discount)

Hence, the soccer jersey's retail price is $68.60.

We can apply the formula to get the tennis racket's original cost after just a 55% reduction and a $49.05 sale price:

Original Cost = Discounted Cost (1 - Discount)

Original Price = $49.05 / (1 - 55%) = $49.05 / 0.45 = $109.00

Hence, the tennis racket's original cost is $99.00.

The following formula can be used to determine the discount % for the archer set with just an original cost of $94.00 as well as a sale of $61.10:

Discount = (Original Price - Sale Price) / Original Price x 100%

Discount = ($94.00 - $61.10) / $94.00 x 100% = 35%

Hence, the archery set has a 35% discount.

The following equation can be used to determine the retail price of a archery kit with a 35% reduction and an original cost of $94.00:

Sale Price =Original Price multiplied by (1 - Discount)

Sale Price = $94.00 x (1 - 35%) = $61.10

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The requried, Liam is 24 blocks away from his house.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
A graph is shown, Liam left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Liam is x minutes after he left his house until he got back home.

In order to calculate Liam's distance after x = 15 minutes. Draw a perpendicular at x = 15 that intersects the curve. Since the line intersects the curve at y = 24. This implies that Liam is 24 blocks away from his house.

Thus, the requried Liam is 24 blocks away form his house.

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The differential of the function is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

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

y= 4x^(3/2)+x^(1/2)

Using the first principle of differentiation, we have

dy/dy = 3/2 * 4x^(3/2 - 1) + 1/2 * x^(1/2 - 2)

Evaluate the expressions

dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

Hence, the solution is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

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Here are the possible outcomes of randomly drawing two marbles from the bag:

O, G

O, B

G, O

G, B

B, O

B, G

There are six possible outcomes in total, each with an equal chance of occurring. Therefore, the theoretical probability of drawing an orange marble and a green marble from the bag is 1/6 or approximately 0.167.

Answer:

30

Step-by-step explanation:

You divide the number so 10 by 9 giving you the 1% of it and then you times that number by 27 to get 27%.

Answer:

30

Step-by-step explanation:

9%*3=27%

10*3=30

or more simply what you do to one you have to do to the other.

The study is classified as an observational study, and the problem is given as follows:

A.

This is a convenience sample with voluntary​ response, which has a high chance of leading to bias.

Experiments are studies in which there are two groups, with different features, and then the effect of a feature is studied.

For an observational study, there are no changes, just a question is asked, as is the case for this problem.

Convenience samples lead to bias as many people that share characteristics can answer.

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Answer:Hence, there are 1200 1200 1200 stiches per minute.

Step-by-step explanation:

The transformation is a reflection over the x-axis.

On the given graph we can see two triangles, one is pointing up and the other one is pointing down, from that we clearly can see that we hade a kind of reflection.

Now, the distance between the base of the top triangle and the x-axis is 4 units.

The distance between the top side of the bottom triangle and the x-axis is aslo 4 units.

Then the reflection is over the x-axis.

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Answer:

a = 16.5

b = 8.8

Step-by-step explanation:

a. To find the number of trout in 2.5 months, we can substitute n = 2.5 into the given equation:

T = 1800 (1.15)^n

T = 1800 (1.15)^2.5

T ≈ 2708.67

Therefore, there will be approximately 2,709 trout in the lake after 2.5 months.

b. To find the number of trout 2 months before the season opened, we need to use a negative value of n that represents the time before the start of the trout season. If we assume that the start of the season is month 0, then 2 months before the start of the season would be month -2. Thus, we can substitute n = -2 into the given equation:

T = 1800 (1.15)^n

T = 1800 (1.15)^(-2)

T ≈ 980.92

Therefore, there were approximately 981 trout in the lake 2 months before the start of the trout season.

240 more residents have an occupation in industry than have an occupation in government. The solution has been obtained by using arithmetic operations.

It is believed that the four fundamental operations, often referred to as "arithmetic operations", can describe all real numbers. The four mathematical operations that produce the quotient, product, sum, and difference are divide, multiply, add, and subtract.

We are given a graph determining the types of occupations of the 1,200 residents of a town.

Percentage of residents having occupation in government is:

100% - 25% - 15% - 25% - 30% = 5%

Number of residents having occupation in industry is as follows:

25% of 1200 = 300

Similarly, number of residents having occupation in government is:

5% of 1200 = 60

Number of more residents that have occupation in industry than have an occupation in government is:

300 - 60 = 240

Hence, 240 more residents have an occupation in industry than have an occupation in government.

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The circle graph was missing in the question which has been attached below.

Answer:

Lo siento, como modelo de lenguaje de IA, no tengo la capacidad de visualizar o dibujar gráficos. ¿Puedo ayudarte con algo más?