how do you find the horizantiol asmptote

Answer:

A

Step-by-step explanation:

(f - g )(x)

= f(x) - g(x)

= 3x + 2 - (2x - 2) ← distribute parenthesis by - 1

= 3x + 2 - 2x + 2 ← collect like terms

= x + 4

The value of the function (f-g)(x) is x+4.

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

Given are two functions, f(x) = 3x+2 and g(x) = 2x-2, we need to find the value of (f-g)(x)

So,

(f-g)(x) = f(x) - g(x)

= 3x+2 - (2x-2)

= x+4

Hence, the value of the function (f-g)(x) is x+4.

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The temperature in Fahrenheit that is equal to 17 degree Celsius is  62.6 Fahrenheit .

The Celsius (°C) and Fahrenheit (°F) are two common temperature scales which are used to measure the temperature. Celsius is based on the metric system, and is widely used in most countries. Fahrenheit, on the other hand, is used mostly in the United States and a few other countries.

We use the the formula "°F = (°C × 1.8) + 32" , to convert the temperature from degree Celsius to degree Fahrenheit ;  

In this case  , we have to convert 17 Celsius to Fahrenheit,

So , we can write the formula as : °F = (°C × 1.8) + 32

⇒ °F = (17 × 1.8) + 32 ;

⇒ °F = 30.6 + 32 ;

⇒ °F = 62.6  .

Therefore, 17 Celsius is equal to 62.6 Fahrenheit .

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A multiplying polynomials calculator is a tool used to multiply two or more polynomials together.

A multiplying polynomials calculator is a tool used to multiply two or more polynomials together. It can be helpful for simplifying algebraic expressions, solving equations, and performing various calculations in mathematics and engineering.

The calculator takes the coefficients of each polynomial as input and uses the distributive property to multiply the terms of each polynomial together. It then combines like terms and arranges the result in descending order of degrees. Multiplying polynomials can be a tedious and error-prone process, especially for large polynomials, so using a calculator can save time and reduce the chances of errors. The multiplying polynomials calculator is commonly used by students, teachers, engineers, and anyone working with algebraic expressions.

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Step-by-step explanation:

You can choose from four main ways to detect outliers:

1.Sorting your values from low to high and checking minimum and maximum values.

2.Visualizing your data with a box plot and looking for outliers.

3.Using the interquartile range to create fences for your data.

4.Using statistical procedures to identify extreme values

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Answer:

Hi! This question tells us that the book costs $18 and that it costs 3 times more than a DVD. In order to determine the cost of the DVD, all we have to do is divide 18 by 3. 18 divided by 3 is 6. Therefore, the DVD costs $6.

Hope this helps!

Answer:$6

Step-by-step explanation: 18÷3=6

The correct inequality written in factored form represents the graphed region is,

⇒ y ≥ (x + 6) (x - 18)

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The graph shows the inequality.

And, The point on the graph is, (- 4, - 44)

Now, By all options;

The correct inequality is satisfy the given point on the graph.

From (i);

The inequality is,

⇒ y ≥ (x + 6) (x - 18)

Put x = - 4, y = - 44

⇒ - 44 ≥ (- 4 + 6) (- 4 - 18)

⇒ - 44 ≥ (2) (- 22)

⇒ - 44 ≥ - 44

Hence, It is the correct inequality written in factored form represents the graphed region.

Thus, The correct inequality written in factored form represents the graphed region is,

⇒ y ≥ (x + 6) (x - 18)

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The numbers on the mailboxes could be considered either categorical or quantitative data. The correct Option is C: Either categorical or quantitative data.

The numbers on the mailboxes can be considered either categorical or quantitative data, depending on the context in which they are being used.

If the numbers are simply labels for the mailboxes, with no inherent numerical value or order, then they can be considered categorical data. In this case, the numbers would be treated as labels for the different categories or groups, rather than as measurements with numerical significance.

On the other hand, if the numbers are being used to represent a quantity or a position in a sequence, then they can be considered quantitative data. For example, if the numbers represent the physical location of the mailbox within a building, or the order in which mail is sorted and delivered, then they can be treated as numerical measurements.

Therefore, without further context, the numbers on the mailboxes could be considered either categorical or quantitative data.

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Answer: 34

Step-by-step explanation:

The result of multiplying the numbers 17 by 2 is 34.

When you multiply two numbers, you are essentially adding the first number to itself a certain number of times, determined by the second number.

In this case, when you multiply 17 by 2, you are adding 17 to itself two times:

17 + 17 = 34

Therefore, the result of multiplying 17 by 2 is 34.

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The value of the expressions are not equal

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

p = -3²

q = ( -3 )²

On simplifying the equations , we get

The value of p = -9

The value of q = 9

So , the value of p and q are not equal

Hence , the equations are not equal

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To convert 511 inches into centimeters by using the conversion factor of 2.54 cm/inch.

Conversions play a crucial role in our daily lives. Whether it's converting the temperature from Fahrenheit to Celsius, converting currency when traveling to another country, or converting units of measurements, it's essential to know how to convert between different values. In this article, we'll explain how to convert 511 inches into centimeters.

To convert 511 inches into centimeters, we need to use a conversion factor. The conversion factor for converting inches to centimeters is 2.54. This means that one inch is equal to 2.54 centimeters. To convert 511 inches to centimeters, we need to multiply 511 by 2.54.

511 inches x 2.54 cm/inch = 1298.94 cm

Therefore, 511 inches is equivalent to 1298.94 centimeters. It's important to note that when converting between different units of measurements, it's crucial to use the correct conversion factor. In this case, we used the conversion factor of 2.54 cm/inch to convert inches into centimeters.

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Answer:

p = 29 and q = -3.

Step-by-step explanation:

Using long division, the remainder when we divide by x − 1 is p+q−16.  The remainder when we divide by x + 1 is p−q−20.

It is wrong to say that the probability of getting two red cards is the same as the probability of getting one red card because the two events are not independent.

The probability of getting a red card on the first draw is 26/52 or 1/2. However, the probability of getting a red card on the second draw depends on what card was drawn first. If a red card was drawn first, there are now only 25 red cards left in the deck and the probability of getting a red card on the second draw is 25/51. If a black card was drawn first, there are still 26 red cards left in the deck and the probability of getting a red card on the second draw is 26/51. Therefore, it is wrong to say that the probability of getting two red cards is the same as the probability of getting one red card.

The correct way to calculate the probability of getting two red cards is to multiply the probability of getting a red card on the first draw by the probability of getting a red card on the second draw given that a red card was drawn first. This gives us:

P(two red cards) = P(red card on first draw) * P(red card on second draw | red card on first draw)

= (26/52) * (25/51)

= (1/2) * (25/51)

= 25/102

So the probability of getting two red cards is 25/102 or approximately 0.2451.

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The correlation coefficient -0.32 which is negative and close to zero, we conclude that there is an inverse and weak correlation between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation

The correlation coefficient is a statistical measure of the strength of a linear relationship between two variables. Its values can range from -1 to 1.

Now, since the correlation coefficient between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation is -0.32.

Since the correlation coefficient is negative and close to zero, we conclude that there is an inverse and weak correlation between the acceptance rate at the top 100 u.s. mba programs and the percent of students in those programs who are employed upon graduation

So, there is an inverse and weak correlation between them.

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Answer:

sum of all side of Pentagon= 540

10x+6x+4x+3x+x=540

According to question

Answer:

The combined volume of 9cm, 7cm, and 6cm is 378cm³ if a rectangular prism or cube

Step-by-step explanation:

To find the volume of a 3-dimensional prism or cube you need to find the Area of the Base and Height and multiply them.
Equation = Bh
Since there are only 3 different numbers you just need to multiply them together.

I hope this was helpful!

Answer:

{32, 60, 68}

Step-by-step explanation:

If a triangle is a right triangle, the sum of the squares of the two shorter sides must equal to the square of the longest side

Only {32, 60, 68} fits this property

32² + 60² = 1,024 + 3600 = 4,624
68² = 4,624

The other options do not satisfy this requirement

Answer:{32,60,68} represents the three sides of a right triangle

Step-by-step explanation: If the given triangle is a right triangle then it must follow Pythagoras's theorem,

according to Pythagoras's theorem,

(hypotenuse)²=(base)²+(height)²

Since hypotenuse is the longest side, so here 68 is the largest

so, hypotenuse=68 ,base=32 ,height=60

putting the values in the above equation,

(68)²=(32)²+(60)²

4624=1024+3600

4624=4624

since LHS=RHS

Therefore, it is a right triangle

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The measure of each interior angle of a decagon is 144 degrees.

1. A decagon is a 10 sided polygon.

2. The sum of the interior angles of any polygon with n sides is (n - 2) * 180 degrees.

3. For a decagon, n = 10, therefore the sum of the interior angles is (10 - 2) * 180 degrees = 8 * 180 degrees = 1440 degrees.

4. Therefore, the measure of each interior angle of a decagon is 1440 degrees / 10 = 144 degrees.

The measure of each interior angle of a decagon is 144 degrees.

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The key feature that is NOT present in the function h(x) is "The x-intercept of h(x) is (5, 0)".

To find the x-intercept of a function, we need to set the y-value to 0 and solve for x. In the case of h(x), we have two different equations for different ranges of x:

h(x) = (x - 5)² when 0 ≤ x ≤ 4

h(x) = -log₄(x + 6) when x > 4

Setting the first equation to 0 and solving for x, we get:

0 = (x - 5)²

0 = x - 5

x = 5

However, this value of x does not fall within the range of 0 ≤ x ≤ 4, so it is not a valid x-intercept for this equation.

Setting the second equation to 0 and solving for x, we get:

0 = -log₄(x + 6)

log₄(x + 6) = 0

4⁰ = x + 6

1 = x + 6

x = -5

This value of x also does not fall within the range of x > 4, so it is not a valid x-intercept for this equation either.

Therefore, the function h(x) does not have an x-intercept of (5, 0), and this is the key feature that is NOT present in the function.

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The solution to the system of differential equations that satisfies the initial conditions x(0)=5 and y(0)=3 is:

x(t) = (29/3) [tex]e^{\frac{22t}{3} }[/tex] - (4/3) [tex]e^{\frac{-16t}{3} }[/tex]

y(t) = (-13/3) [tex]e^{\frac{22t}{3} }[/tex] + (2/3) [tex]e^{\frac{-16t}{3} }[/tex]

To solve the system of differential equations, we can use matrix exponential. The system can be written in matrix form as follows:

X' = AX, where X = [x y], A = [22 60; -6 -16]

The matrix exponential of A can be calculated as follows:

[tex]e^{(At)}[/tex] = I + At + [tex]\frac{(At)^{2}}{2!}[/tex] + [tex]\frac{(At)^{3}}{3!}[/tex] + ...

where I is the identity matrix and t is the variable of integration.

We can substitute A and t = 1 into the formula to get:

[tex]e^{A}[/tex]= I + A + [tex]\frac{(A)^{2}}{2!}[/tex] + [tex]\frac{(A)^{3}}{3!}[/tex]+ ...

= [1 0; 0 1] + [22 60; -6 -16] + [44 192; -36 -104]/2! + [ -256 -768; 96 272]/3! + ...

= [1 + 22 + [tex]\frac{44}{2!}[/tex] - [tex]\frac{256}{3!}[/tex]*60 + [tex]\frac{192}{2!}[/tex] - [tex]\frac{768}{3!}[/tex];

-6 + [tex]\frac{(-6)}{2!}[/tex] + [tex]\frac{96}{3!}[/tex] - 16 + [tex]\frac{(-104)}{2!}[/tex]+ [tex]\frac{272}{3!}[/tex]]

= [[tex]\frac{29}{3}[/tex] [tex]\frac{102}{3}[/tex];

[tex]\frac{-13}{3}[/tex]  [tex]\frac{-4}{3}[/tex] ]

Now we can use the initial conditions to find the constants of integration. We have:

X(0) = [x(0) y(0)] = [5 3]

So,

[[tex]e^{A}[/tex]] [[tex]c_{1}[/tex]] = [5]

[[tex]c_{2}[/tex]] [3]

Multiplying both sides by the inverse of [tex]e^{A}[/tex], we get:

[[tex]c_{1}[/tex]] = [29/3 102/3]^(-1) [5]

[[tex]c_{2}[/tex]] [-13/3 -4/3] [3]

Solving this system of linear equations, we get:

[tex]c_{1}[/tex] = -4/3

[tex]c_{2}[/tex] = 2/3

Therefore, the solution to the system of differential equations that satisfies the initial conditions x(0)=5 and y(0)=3 is:

x(t) = (29/3) [tex]e^{\frac{22t}{3} }[/tex] - (4/3) [tex]e^{\frac{-16t}{3} }[/tex]

y(t) = (-13/3) [tex]e^{\frac{22t}{3} }[/tex] + (2/3) [tex]e^{\frac{-16t}{3} }[/tex]

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a) The economic order quantity is 300 units.

b) The annual holding costs are 3,750.

c) The annual ordering costs are 3,750.

d) The reorder point is 117 units.

To solve this problem, we can use the Economic Order Quantity (EOQ) model, which helps determine the optimal order quantity to minimize total inventory costs. The formula for EOQ is:

[tex]EOQ = \sqrt{((2DS/H)}[/tex]

where D is the annual demand, S is the setup cost per order, and H is the annual holding cost per unit.

a) Find the economic order quantity:

D = 15,000 units

S = 75 per order

H = 25 per unit per year

Substituting into the formula for EOQ:

[tex]EOQ = \sqrt{((2\times15000\times75)/25)} = \sqrt{90000} = 300 units[/tex]

Therefore, the economic order quantity is 300 units.

b) Find the annual holding costs:

To find the annual holding costs, we need to multiply the average inventory level by the holding cost per unit. Half of the EOQ can be used to compute the average inventory level.

Average inventory level = [tex]EOQ/2 = 300/2 = 150 units[/tex]

Annual holding costs = Average inventory level x Annual holding cost per unit

= [tex]150 \times25 = 3,750[/tex]

Therefore, the annual holding costs are 3,750.

c) Find the annual ordering costs:

To find the annual ordering costs, we need to divide the annual demand by the EOQ and then multiply by the setup cost per order:

Number of orders per year = Annual demand / EOQ =[tex]15,000 / 300 = 50[/tex] orders per year

Annual ordering costs = Number of orders per year x Setup cost per order

=[tex]50 \times75 = 3,750[/tex]

Therefore, the annual ordering costs are 3,750.

d) What is the reorder point?

The inventory level at which a new order ought to be placed is known as the reorder point. It is calculated as the lead time demand plus safety stock. The lead time demand is the demand during the lead time, which is 2 working days in this case. We can assume that the demand is evenly distributed over the 300 working days per year, so the lead time demand is:

Lead time demand = (Annual demand / 300) x Lead time = [tex](15,000 / 300) \times 2 = 100 units[/tex]

The safety stock is the buffer inventory kept to cover unexpected demand during the lead time. The safety stock depends on the desired service level and the variability of demand and lead time. Assuming a 95% service level and a normal distribution of demand and lead time, we can use the z-score corresponding to a 95% service level, which is 1.645. The standard deviation of demand during the lead time can be estimated as the square root of the lead time demand:

Standard deviation of demand during lead time = [tex]\sqrt{100}[/tex] = 10 units

The safety stock is then:

Safety stock = z-score x Standard deviation of demand during lead time

= [tex]1.645 \times 10 = 16.45[/tex] units (rounded up to 17 units)

Therefore, the reorder point is:

Reorder point = Lead time demand + Safety stock

= [tex]100 + 17 = 117[/tex]units

Therefore, the reorder point is 117 units.

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the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

In order to find the perimeter of the given triangle, we have to find the side of the triangle. The altitude of the triangle  = 18 inches. Let us assume the side of the triangle as a. The formula for calculating the altitude of an equilateral triangle is : Altitude  =√3/2×a  (side)

18 =√3/2 × a

a = 18 × 2√3

a = 36√3

a = 36 ×√3 / √3×√3

a =36√3/3

a = 12√3 inches.

If the side of an equilateral triangle is 12√3, then all three sides of the triangle are of equal length, since it is an equilateral triangle. Therefore, the perimeter of the triangle is simply the sum of the lengths of its three sides. Since each side of the triangle has a length of 12√3, the perimeter is: Perimeter = 3 x (12√3) = 36√3.

Therefore, the perimeter of the equilateral triangle with a side length of 12√3 is 36√3 units.

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Answer:

x = -3

Step-by-step explanation:

A vertical line has an undefined slope and its equation can be written as x = a, where 'a' is the x-coordinate of any point lying on the line. This is because all points on a vertical line have the same x-coordinate.

In this case, we are looking for the equation of the vertical line that passes through the point (-3, 8). Since this line is vertical, its equation will be of the form x = a, where a is the x-coordinate of any point on the line.

We can see that the x-coordinate of the point (-3, 8) is -3, so the equation of the vertical line passing through this point will be:

x = -3

And that's the answer. The equation of the vertical line passing through the point (-3, 8) is x = -3.

The sample variance formula is: (sum of squared differences between each data point and the sample mean) divided by (sample size minus one).

The sample variance formula is a statistical calculation used to measure the variability of a set of data values in a sample. Variance is a measure of how spread out a set of data is, and it provides a measure of the average deviation of the individual data points from the sample mean.

The sample variance formula is calculated by taking the sum of the squared differences between each data point and the sample mean, and dividing that value by the sample size minus one. The resulting value provides a measure of how much the data points vary from the mean of the sample, and is an important tool for assessing the reliability and validity of statistical results.

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The correct option is (A) The ordinal level of measurement is most appropriate because the data can be ordered, but differences cannot be found or are meaningless.

The ordinal level of measurement is most commonly used when dealing with data that can be ordered, but the differences b/w the data points are not significant or cannot be determined. This type of data is commonly used when looking for ranking or grading data.

For example In customer satisfaction surveys, or when categories are assigned values, like when a student's performance in a class is assigned a letter grade. With the ordinal data, the values ​​are ordered in a meaningful way, but the differences between the values ​​are not necessarily significant.

For example, if you assign a letter grade to a student's performance, difference between an A and a B is not importantly difference among C and D. This type of data is useful for finding a quick and easy way to compare data points, but this gives no information about the actual differences between the data points.

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Answer: 0.1875

Step-by-step explanation: ..

Answer and Step-by-step explanation:

120 kg is approximately 264.55 lbs (pounds).

In this problem, the lower limit of integral is -3 and the upper limit of integration is 3.

We can use the formula for the surface area of a solid of revolution generated by a curve revolving around a given axis. The formula is S = 2π ∫ a b y dx, where a and b are the lower and upper limits of integration, and y is the height of the curve at x. In this problem, the lower limit of integration is -3 and the upper limit of integration is 3. Substituting y = 1/16(e^8x + e^-8x) into the equation gives S = 2π ∫ -3 3 (1/16(e^8x+e^-8x)) dx. Integral this expression gives S = 10512π.

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The converted value of the currency 350 euros to dollars is equal to 374.1493 dollars.

The value of One Euro in dollars in todays time is equal to:

1 Euro = 1.068998 U.S. dollars

Now substitute the required converted Euro value we get ,

⇒ 350 Euros = ( 350 ×  1.068998 ) dollars

⇒ 350 Euros = ( 374.1493 ) dollars

Therefore, the value of the currency after conversion 350 euros to dollars is equal to 374.1493  dollars.

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Answer: 9 laps in 1 day = 18 laps in 2 days

Step-by-step explanation:

To complete the proportion, we can use the fact that the number of laps is directly proportional to the number of days:

9 laps in 1 day = 18 laps in x days

To solve for x, we can use the property of proportions that the product of the means equals the product of the extremes:

9 laps × x days = 1 day × 18 laps

Simplifying, we get:

9x = 18

Dividing both sides by 9, we get:

x = 2

Therefore, the missing number to complete the proportion is 2. The complete proportion is:

9 laps in 1 day = 18 laps in 2 days

Answer: 2 days

Step-by-step explanation: 9 + 2 equals 18 therefor 18 laps in 2 days