Find the equation of all horizontal asymptotes of the following function.

Answer:

Step-by-step explanation

To find the amount of rain the meteorologist predicted, start by listing the key information from the problem.

The actual amount of rain was 1.5 inches.

The meteorologist's prediction was 20% less than that. This is the percent error.

First, find the amount of error. It is 20% of the actual amount of rain.

0.21.5=0.3

So, the amount of error in the meteorologist's prediction is 0.3 inches. Since the predicted amount was less than the actual amount, subtract 0.3 from the actual amount of rain.

1.5–0.3=1.2

The meteorologist predicted 1.2 inches of rainfall.

You could also find the meteorologist's rainfall prediction by finding 80% of the actual amount of rain.

0.81.5=1.2

The amount of rainfall the meteorologist predict is 1.2 inches

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

Amount of rainfall = 1.5 inches

Prediction = 20% less than the amount of rainfall

These parameters imply that:

Prediction = Amount of rainfall * (1 - Percentage less)

Substitute the known values in the above equation, so, we have the following representation

Prediction = 1.5 * (1 - 20%)

Evaluate

Prediction = 1.2

Hence, the prediction is 1.2 inches

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The formula for profit is:

P = I - E

Where,

Income = I

Expenses = E

Profit = P

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Income = I

Expenses = E

Profit = P

Now,

Profit = Income - Expenses.

P = I - E

Thus,

The formula for profit is:

P = I - E

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The critical ratio (cr) will be less than one if the amount of work left is larger than the amount of time left.

In a work center, the critical ratio is a rule of thumb used to prioritize jobs that need to be processed (CR). The remaining shop time is divided by the equation (due date - today's date), and the result is the CR priority index number. When sequencing according to these criteria, the job with the lowest CR is put on the schedule first. a dispatching rule that generates a priority index number by dividing the amount of time remaining before the deadline by the estimated amount of time required to accomplish the job. Ratios below 1.0 are frequently thought of as being behind schedule, whereas ratios over 1.0 are thought of as being ahead of time. Critical ratio (CR) = CPI x SPI

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When the scale factor of the map is less than 1, then the location will be above the map projection plane

The scale factor is used in the UTM mapping systems.

UTM stands for Universal Transverse Mercator, it is the coordinate grid used for the map projection.

The scale factor is an important part in the UTM mapping. Because it is used to show the distortion from the mapping system. Distortion is because of the Earth is mapped into flat surface.

So we can divide the surface into two, the surface above the mapping projection and the surface below the mapping projection

If the scale factor is less than 1 the location will be above the map projection plane and if the scale factor is greater than 1 the location will be below the map projection plane

Therefore, the scale factor less than 1 shows the location above the projection

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Answer: x = 4

Step-by-step explanation:

Divide each term in 5x = 20 by 5 and simplify

[tex]\frac{5}{5} x[/tex] = [tex]\frac{20}{5}[/tex]

[tex]x=4[/tex]

Answer:

x=4

Step-by-step explanation:

5x4=20

A distribution of the means of two independent groups serves as the comparison distribution for an independent-samples t-test.

By using the one-sample t-test formula

If s is the sample standard deviation, n is the sample size, and x is the sample mean, is the population mean.

The between-groups variance measures the variability of the group means, whereas the within-groups variance measures the variability of the individual scores within the groups. This is a key distinction between variance terms for between-groups and within-groups.

By using the formula,

df = (n1 - 1) + (n2 - 1) (n2 - 1)

where the sample sizes for the two groups are n1 and n2.

The mean of the differences between the scores in the two groups can be used to compute the mean of the difference scores for the original data. The mean of the difference scores would be determined as follows, for instance, if the first group has scores of 3, 5, and 7, while the second group has scores of 4, 6, and 8.

[tex]\frac{(3 - 4) + (5 - 6) + (7 - 8)}{3}[/tex]

= [tex]\frac{(-1 + -1 + -1)}{3}[/tex]

= [tex]\frac{- 3}{3}[/tex]

= -1

The name of the statistical test, the sample sizes, the averages and standard deviations of the groups, the estimated t-value and degrees of freedom, and the p-value would all be included in a report of statistical results that follows proper APA format. The research question and hypothesis being examined should be stated clearly in the report, together with a discussion of the findings and their implications.

The standard error of the difference scores for the provided data can be calculated as

SE = [tex]((\frac{s12}{n1}) + (\frac{s22}{n2}))[/tex]

where n1 and n2 are the sample sizes, s1 and s2 are the standard deviations of the two groups, and

Calculating the t-value and comparing it to the critical value of t from the appropriate degrees of freedom in the t-distribution is the fifth step in performing a single-sample t-test. The null hypothesis can be rejected if the estimated t-value is greater than the critical value since it shows that the observed differences between the sample and the population are statistically significant.

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Answer:

1/4

Step-by-step explanation:

[tex]\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{2 \cdot 2}=\frac{1}{4}[/tex]

The time take would be 1 hour and 18 minutes

What is Linear Equation in One Variable?

Linear equations are first-order equations. Lines in the coordinate system are determined by linear equations. A linear equation in one variable is defined as an equation with a homogeneous variable of degree 1 (i.e. only one variable).

Solution:

Given: Growth rate of bacteria = (3*I + 2)*t

I is the Initial Number of Bacteria

t is the time in hours

So,

42 = (3*10 + 2)t

42 = 32*t

t = 1.3 hours

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The amount of income tax withheld each week is $350.

In the question ,

it is given that ,

the total gross taxable income every week is = $1166 ,

we know that the percent tax is = 30% ,

and their is no other source of income

So the income tax will be = 30% of total gross taxable income .

Substituting the value of gross taxable income ,

we get ,

income tax = 30% × 1166

= 0.30 × 1166    ...because 30% = 0.30

Simplifying further ,

we get ,

= 349.8

≈ 350

Therefore , amount of income tax withheld is $350 .

The given question is incomplete , the complete question is

You earn $1,166 gross taxable income every week, and have claimed no exemption. Assuming that you have no other source of income, what is the amount of income tax withheld each week ?

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Each tube costs $15.17 to the group of friends when they rent 15 tubes for floating down near the Ichetucknee River. The procedure is as follows:

Given, the cost of each tube; 15 tubes would cost $277.50 to rent.

Consequently,

                                                      =22750 pennies

The expense of one tube= (22750/15)cents

                                          =1516.7 pennies

                                          = $15.17

The expense split technique is a method used to distribute the cost of a shared expense among a group of individuals. It involves dividing the total cost of the expense by the number of people in the group to calculate each person's share of the cost.

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The equation of the line passing through the two points [tex](1,1)[/tex] and [tex](3,5)[/tex] is [tex]\frac{3}{1}[/tex] i.e.  [tex]y=2x-1[/tex]

For finding the equation of lien if two points are given then we will use the two-point form i.e.

[tex]y-y_{1}=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } (x-x_{1})[/tex]

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{5-1}{3-1} \\m=\frac{4}{2} \\m=\frac{2}{1}\\m=2[/tex]

The slope of the line is [tex]2[/tex]

The point [tex](x_{1} ,y_{1} )=(1,1)[/tex]

Plug in these values

[tex]y-1=2(x-1)\\y-1=2x-2\\y=2x-2+1\\y=2x-1[/tex]

The equation of the line is [tex]y=2x-1[/tex]

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The dimensions of the rectangle is 25m × 25m.

Two dimensions make up a rectangle: the length and, perpendicular to that, the breadth.

The three dimensions of a three-dimensional shape are length, width, and depth.

It is given that

Perimeter of the rectangle = 100m

Area is as large as possible if both the values are the same number.

The measurements must be equivalent for the rectangle to attain its maximum area.

Consider the dimensions as x

So perimeter can be written as

2 (x + x) = 100

2 (2x) = 100

By additional computation

4x = 100

Divide both sides by 4

x = 25

Therefore, the dimensions of a rectangle is 25m × 25m.

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-5x^4 is the 3rd term when 5 3x2 − 5x4 2x3 is arranged in descending order.

Given ,

the 3rd term when 5 3x2 − 5x4 2x3 is arranged in descending order.

It is said to be in descending order if the information is arranged from highest to lowest. Examples of numbers that are organized in descending order include 10, 9, 8, 7, 6, 5, 4, 3, 2, and 1. In other words, the order is said to be declining if the numbers are listed from largest to smallest.

5 3x^2 - 5x^4 2x^3

=> 5x^4 - 5 3x^2 2x^3

=> 5x^4 - 10x^5

=> -5x^4

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Answer:

3a - 2b = -3

Step-by-step explanation:

= (3) (3) - (6) (2)

= 9 - 12

= -3

Answer:

Step-by-step explanation:

3(3)- (6)2

9-12

-3

Answer: a= 4.5 miles per hour

b= 9 miles

A. 1/2 x 2 = 1 hour so 2 1/4 x 2 = 4.5 miles  

B. 1/2 and hour x 4 = 2 hours so 2 1/4 miles x 4 = 9 miles

Answer:

x=12

Step-by-step explanation:

_-----------------------

Answer: 63

Step-by-step explanation:

Let's start with what we know. A straight line measures an angle of 180. So, at point m, we have one degree measuring 118. We do:

180 - 118 = 62

So, 62, is the angle in the corner.

We also know that the sum of the angles in a triangle = 180 so:

10x - 2 + 62 = 180

10x + 60 = 180

10x = 120

x = 12

So angle K is 63.

(Hope this is correct)

The 33rd term of the given Arithmetic progression will be -132.

What is an Arithmetic progression?

A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it.

Given, first term= a1= 28

and, a93 = -432

we know that, a93 = -432

                   a + 92d = -432 (where d is the common difference)

                  28 + 92d = -432

                     92d = -432-28

                             = -460

                       d = -460/92 = -5.

Now, we can find the a33,

               a33 = a + 32d

                       = 28 + (32× -5)

                       = 28-160

                       = -132.

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Answer:

Step-by-step explanation:

To solve use tangent(63) to solve for x

tan(63)=x/90

Multiple by sides by 90

90tan(63)=x

x=176.6

Answer:

176.6

Step-by-step explanation:

tan(63°) = x/90

1.962 • 90 = 176.58

When I round to the nearest tenth I get 176.6

I hope this helps:)

The slope of a line is -1

What is a line ?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.

A line is a perfectly straight, one-dimensional shape that extends infinitely in both directions and has no thickness. In order to stress that a line has no "wiggles" anywhere along its length, it is occasionally referred to as a straight line or, more formally, a right line (Casey 1893).

y = mx + c

Subtract 3x from both sides of the equation

3y = 18 - 3x

dividing by 3

y = 6 - x

re-ordering we get y = -x + 6

using slope-intercept form ,

the slope m = -1

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Answer:

Step-by-step explanation: No f(x) is not an inverse of g(x)

The scores needed in order to score in the highest 5% of the GMAT are given as follows:

At least 711.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation of GMAT scores are given as follows:

µ = 527, σ = 112.

The highest 5% of scores are composed by scores of the 95th percentile and above, hence the minimum score is X when Z = 1.645.

Then:

1.645 = (X - 527)/112

X - 527 = 1.645 x 112

X = 711.

The mean and the standard deviation of scores are given as follows:

µ = 527, σ = 112.

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Answer: 103

Step-by-step explanation:i think

Answer: 140 I think actually

Step-by-step explanation: Because if you use the well comonlmonly used method you would see that MAYBE the equivilancalence is 140, not  130.

Answer:

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

So, the possible solution can be x = 20, y = 1.20

(1) The inequalities can be written as:-

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

(2) The possible solution for the value of x and y can be x = 0.30, y = 1.20.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that Abigail owns a food truck that sells tacos and burritos. She only has enough supplies to make 130 tacos or burritos. She sells each taco for $3 and each burrito for $6. Abigail must sell no less than $600 worth of tacos and burritos each day.

The inequalities can be written as:-

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

The two inequalities can be solved as:-

x + y = 1.50 or x= 1.50 - y

4x + 6.5y = 780

4( 1.5 - y ) + 6.5y = 780

6 - 4y + 6.5y = 780

y = 1.20

The value of x will be,

x= 1.50 - y

x= 1.50 - 1.2

x = 0.30

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The solution of the linear inequation -8 - 4x > 1 is x < [tex]-\frac{9}{4}[/tex]

-10 satisfies the given linear inequation

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤

A one degree inequation is known as linear inequation.

The given linear inequation is

-8 - 4x > 1

Now,

-8 - 4x > 1

-4x > 1 + 8

-4x > 9

x < [tex]-\frac{9}{4}[/tex]

-10 satisfies the given linear inequation

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Answer:

22 and 12!  i think unless i misunderstood the question

Step-by-step explanation:

Answer:

PROBALLY, A

Step-by-step explanation:

Not entirely sure but translating up 7 units from 5 would be 3x-12

By means of rigid transformation, the point L' has a y-coordinate equal to 4 / 5.

Herein we find a representation of a line segment on a Cartesian plane, from which we must determine the coordinates of the image of one of its ends (point L' is the image of point L) by means of the following transformation rule, a dilation centered at the origin:

L'(x, y) = k · L(x, y)

Where:

If we know that L(x, y) = (10, 2) and k = 2 / 5, then the coordinates of the  point L' are:

L'(x, y) = (2 / 5) · (10, 2)

L'(x, y) = (4, 4 / 5)

The y-coordinate of point L' is 4 / 5.

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Answer:

since the arcs are made on top and bottom of the line ,so by joining both the points of intersection of the arc we get a perpendicular bisector of the line

therefore , it is option d) the perpendicular bisectorof line MN