do logarithmic functions have horizontal asymptotes?

Answers

Answer 1

9514 1404 393

Answer:

  not generally

Step-by-step explanation:

The basic log function has a vertical asymptote where its argument is zero. It has a positive slope for all positive arguments. It tends to infinity as the argument tends to infinity. There is no horizontal asymptote.

__

A log function can be made part of a larger expression in a way that would give the expression a horizontal asymptote. For example, the function ...

  f(x) = 1/log(x)

has a horizontal asymptote at f(x) = 0. (This asymptote is approached very slowly.)


Related Questions

Y=x-10 Y=-4x-5
Solve using substitution

Answers

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

HELPPPPPPPPPPPPPPPPPPP ASAP!!!!!!

HELPPPPPPPPPPPPPPPPPPP ASAP!!!!!!
HELPPPPPPPPPPPPPPPPPPP ASAP!!!!!!

Answers

Answer:

there is 8 quadrilateral shapes

Rachel went to the candy store at the mall. They sell the candy by weight. It cost 25 cents per ounce. She filled a bag of candy that cost $8.
She filled of her bag with jelly beans, of her bag with gummy bears, and the rest with jolly ranchers. How much of the total price did
she spend on jolly ranchers?

Answers

8 dolors is the correct answer

x+3>x+7 it asks me to solve for it but I genuinely don’t know how to do it

Answers

Answer:

No solutions.

Step-by-step explanation:

In this question, we have to solve for x in the inequality.

Solve:

x + 3 > x + 7

Subtract "x" from both sides to move the x over.

3 > 7

However, we don't have any x values after we cancelled the x, therefore meaning that the inequality has no solutions.

The cost of a sandwich, y, is $1 more then twice the cost of a cup of soup, x.

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

y (the sandwich) is TWICE the price of soup (2x) plus one (+1)

good luck

The distance between home plate and first base on a baseball diamond is 90 ft.

Answers

Home plate to second base is located at a distance of 90√2 feet.

A square is a rectangle in which each side is the same length. The distance separating the square's opposing vertices is known as the diagonal. The Pythagoras Theorem can be used to compute the diagonals:

Diagonal² = Side² + Side²

Diagonal² = 2 Side²

Diagonal = √2 Side

The answer to the question is that it is 90 feet from home plate to first base.

This is the length of the side that makes up the baseball diamond's square shape. The diagonal of the square is the distance from home plate to second base.

Diagonal = √2 Side

Diagonal = 90√2

Hence, home plate to second base is located at a distance of 90√2 feet.

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The question is incomplete. The complete question will be -

"A baseball diamond is square. The distance from home plate to first base is 90 feet. In feet, what is the distance from home plate to second base?"

What is the end behavior if the function below?

What is the end behavior if the function below?

Answers

Check the picture below.

What is the end behavior if the function below?

Your class is holdinga fundraiser for a local charity after the first week your class raised 1/8 goal after the second week your class raised total of 3/5 of your goal what fraction of the goal was raised during the second week

Answers

Answer: \(\dfrac{19}{40}\)

Step-by-step explanation:

Given: Fraction of goal raised on first day = \(\dfrac{1}{8}\)

Fraction of goal raised after second day  = \(\dfrac35\)

Now , Fraction of goal raised on second day = Fraction of goal raised after second day  - Fraction of goal raised on first day

\(=\dfrac35-\dfrac18\\\\=\dfrac{24-5}{40}\\\\=\dfrac{19}{40}\)

Required fraction = \(\dfrac{19}{40}\)

HELP DUE TONIGHT ?
An online furniture store sells chairs for $100 each and tables for $350 each. Every
day, the store can ship at most 18 pieces of furniture and must sell no less than
$3200 worth of chairs and tables. If a represents the number of tables sold and y
represents the number of chairs sold, write and solve a system of inequalities
graphically and determine one possible solution.

Answers

The graph of the system of inequalities is on the image at the end, we can see that one solution is 10 tables and 5 chairs.

How to write and solve the system of inequalities?

We know that an online furniture store sells chairs for $100 each and tables for $350 each.

The store can ship at most 18 pieces, and the must sell no less than $3200

Then if we define:

c = number of chairs.

t = number of tables

Then the system of inequality is:

c + t  ≤ 18

c*100 + t*350  ≥ 3200

The graph of that system of inequalities can be seen below, the solutions are in the doble shaded region, then for example one solution is:

c = 5

t = 10

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HELP DUE TONIGHT ?An online furniture store sells chairs for $100 each and tables for $350 each. Everyday,

What is a systematic list? *
Your answer

Answers

Answer:

so it provides a way that organizes information of a problem in methodical way

hope this helps give brainllest please!

Step-by-step explanation:

distance between orlando and jacksonville

Answers

2 hours and 4 mins or you can say 140.6 miles

Answer:

Its about 140 miles

Step-by-step explanation:

it takes slight over 2 hours to get from point a to b

In a computer game, you can win, draw or lose.

Kiran plays two games against Afua.

The probability that Kiran will win any game against Afua is 0.6.

The probability that Kiran will draw any game against Afua is 0.3.

Work out the probability that Kiran will win at least one game.

thanks

Answers

Answer:

0.3??? sorry I'm just as confused

Write an equation of the line that passes through the points.
(2, 5), (0, 5)

Answers

The equation of line is y-5 = 0 or y = 5.

What is meant by equation of line?A line's equation is written as ax + by + c = 0. Here, the variables x and y are the variables, while the constant term c is the coefficients. Slope-intercept form, point-slope form, two-point form, intercept form, and normal form are a few additional ways to determine and describe a line's equation. We use the two-point form to determine the equation of the line since we are aware of two points along it.Y=mx+b is the slope intercept form, where m is the slope and b is the y-intercept. We can plot the graph of a linear equation on the x-y coordinate plane using this version of the equation. The slope intercept form is y = m x + b y=mx+b y=mx+by, equals, m, x, plus, b, where b is the y-intercept and m is the slope.

The points = (2, 5) and (0, 5).

To Find: Equation of line.

Solution:

Slope = .\($=\frac{y_2-y_1}{x_2-x_1}$\)

= \($=\frac{5-5}{0-2}$\)

= 0

Equation of line =\($=y-y_1=\operatorname{slope}\left(x-x_1\right)$\)

Take any point for the equation of line.

Taking (2, 5) for equation of line.

y - 5 = 0(x - 2)

y-5=0

y = 5

Hence, the equation of line is y-5 = 0 or y = 5.

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Hannah has a candle-making business, Hannah's Heavenly Scents.
She is
experimenting with the time it takes for her candles to burn. She has
one candle that is 16 cm tall and loses 2.5 cm in height every hour it
burns. She has another candle that is 12 cm tall and loses 1.5 cm in
height
every hour it burns.
Write a function for the height, T, of the taller candle in terms of the
number of hours it has burned, h.

Answers

Answer:

T = 16 - 2.5h

Step-by-step explanation:

The taller candle is 16 cm and loses 2.5 cm every hour

Equation for the taller candle:

T = 16 - 2.5h

suppose that instead of three doors, there are four doors in the monty hall puzzle. what is the probability that you win by not changing once the host, who knows what is behind each door, opens a losing door and gives you the chance to change doors? what is the probability that you win by changing the door you select to one of the two remaining doors among the three that you did not select?

Answers

The probability of winning by not changing the door is 25%, and the probability of winning by changing the door is 50% in this modified Monty Hall puzzle with four doors.

the Monty Hall puzzle involving four doors.

First, let's establish the initial scenario: there are four doors, and behind one door, there is a prize. You initially choose one door, and the host, who knows what is behind each door, opens a losing door among the remaining three doors.

1. Probability of winning by not changing the door:

Since you've chosen one door, the probability of having selected the winning door initially is 1/4. If you do not change your door, this probability remains the same. So the probability of winning by not changing the door is 1/4 or 25%.

2. Probability of winning by changing the door:

When the host opens a losing door, there are two unopened doors remaining among the three that you did not select. One of these doors has the prize, so the probability of winning by changing your selection is 1/2 or 50%.

In summary, the probability of winning by not changing the door is 25%, and the probability of winning by changing the door is 50% in this modified Monty Hall puzzle with four doors.

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The total time, measured in units of 100 hours, that a teenager runs her hair dryer over a period of one year is a continuous random variable X that has the density function below. Use the theorem below to evaluate the mean of the random variable Y = 51X2 + 40X, where Y is equal to the number of kilowatt hours expended annually Theorem: The expected value of the sum or difference of two or more functions of a random variable X is the sum or difference of the expected values of the functions, as given by the formula below 0, elsewhere

Answers

Answer:

The mean of the random variable Y is (17/2) kilowatt hours.

Step-by-step explanation:

To find the expected value of Y, we can use the formula provided in the theorem:

E(Y) = E(51X^2 + 40X)

Using linearity of expectation, we can break this down into two separate expected values:

E(Y) = 51E(X^2) + 40E(X)

The given probability density function is, f(x) = (1/4)x, 0 ≤ x ≤ 2.

The expected value of a continuous random variable is calculated using the formula shown below, where E(x) is the expected value of x, and f(x) is the probability density function of x.

E(x) = ∫xf(x)dx

The expected value of the random variable X can be calculated as follows:

E(X) = ∫0² (1/4)x dx = (1/8) [x²]₀² = 1

E(X²) = ∫0² (1/4)x² dx = (1/12) [x³]₀² = (1/6)

Now we can substitute these values into our original equation:

E(Y) = E(51X² + 40X) = 51E(X²) + 40E(X) = 51(1/6) + 40(1) = (17/2) kilowatt hours.

Therefore, the mean of the random variable Y is (17/2) kilowatt hours.

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A student measures the width of a piece of paper to be 36 centimeters. The actual width of the paper is 35. 75 centimeters. What is the relative error in this measurement?.

Answers

The relative error in the measure of the student is 0.0069

What is relative error?

It is the quotient between the absolute error and the value that we consider as exact (average). Like the absolute error, it can be positive or negative because it can be produced by excess or defect and it has no units.

Width of a piece of paper = 36 cm

Actual width = 35.75 cm

The relative error is given by:

Relative error = (Measure value - real value)/real value

Relative error = (36 - 35.75)/35.75

Relative error = 0.0069

% Relative error = 0.0069 x 100

% Relative error = 0.69%

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Identify whether each system of equations has infinitely many solutions or no solution.

Identify whether each system of equations has infinitely many solutions or no solution.

Answers

The first system of equations has no solution and the second set of equations has a unique solution.

If we are having two equations as

\(a_{1} x^{2} +b_{1} x+ c_{1} =0\)

and \(a_{2} x^{2} +b_{2} x+ c_{2} =0\)

The condition at which these equations will have infinitely many solutions is

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } =\frac{c_{1} }{c_{2} }\)

The condition at which these equations will have infinitely many solutions is

\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }\)

For, the 26th question, we have

4x +8y = -8

4x +8y +8 = 0

x +2y +2 =0 equation(1)

x =-2y +1

x +2y -1 = 0 equation(2)

On comparing these equations with the general form, we have

\(a_{1} = 1, a_{2} =1\\b_{1} = 2, b_{2} = 2\\c_{1} = 2, c_{2} = -1\)

So, \(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }\)

Thus, this system of equations has no solution.

Now, For the 27th question, we have

2x - 3y = 6

2x -3y -6 = 0 equation(3)

\(y = \frac{2}{3}x -2 \\\\3y = 2x -6\\\\3y -2x +6 = 0\) equation (4)

On comparing these equations with the general form, we have

\(a_{1} = 2, a_{2} =3\\b_{1} = -3, b_{2} = 2\\c_{1} = -6, c_{2} = 6\)

So, \(\frac{a_{1} }{a_{2} } \neq \frac{b_{1} }{b_{2} }\)  

Thus, this system of equations has a unique solution.

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For slope of the Hubble Constant, what does the 'rise' direction represent?
Group of answer choices
Recession Velocity (RV)
X axis
Y axis


For slope of the Hubble Constant, what does the 'run' direction represent?
Group of answer choices
X axis
Y axis
RV

Answers

The "rise" direction represents the Recession Velocity, indicating the motion of galaxies away from us, while the "run" direction represents the X axis, representing the independent variable used to measure distance or time in the Hubble Constant equation.

The "rise" direction in the context of the slope of the Hubble Constant represents the Recession Velocity (RV). It signifies the rate at which galaxies are moving away from us in the expanding universe.

On the other hand, the "run" direction represents the X axis. It refers to the distance or time, depending on the specific interpretation, along the X axis used to measure the independent variable in the Hubble Constant equation.

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What is the solution of the system of equations system?

Answers

The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

Calculating the unknown variables while keeping the equations balanced on both sides is the process of solving a system of equations. Finding the value of the variable that makes the condition of all the provided equations true is how we solve an equation system. There are several ways to solve a system of equations, including

graphical approachsubstitute techniqueElimination procedureCross-multiplication method

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Determine the slope of the linear function. Please help ! (only right answers please )!

Determine the slope of the linear function. Please help ! (only right answers please )!

Answers

Answer:

D-4

Step-by-step explanation:

It is asking for the slope and is written in slope-intercept form. 4x is your slope and 3 is your y intercept.

The following are the ages (years) of 5 people in a room:
14, 14, 18, 18, 22
A person enters the room.
The mean age of the 6 people is now 16.
What is the age of the person who entered the room​

Answers

Answer:

10

Step-by-step explanation:

14+14+18+18+22=86

6*16=96

96-86=10

Step-by-step explanation:

✧ \( \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}} }: \)

Let the age of a person who entered the room be ' x '.

✧ \( \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N \: \: D \: A\: T \: A } }}} : \)

14 , 14 , 18 , 18 , 22 , x

n ( number of observation ) = 6

\( \sum\) x = 14 + 14 + 18 + 18 + 22 + x = 86 + x

Mean = 16

☯ \( \boxed{ \large \tt{Mean \: = \frac{ \sum \: x}{n} }}\)

~Plug the values :

⇢ \( \large{ \tt{16 = \frac{86 + x}{6}}} \)

~Apply cross product property :

⇢ \( \large{ \tt{86 + x = 16 \times 6}}\)

⇢ \( \large{ \tt{86 + x = 96}}\)

Move 86 to right hand side and change it's sign

⇢ \( \large{ \tt{x = 96 - 86}}\)

⇢ \( \boxed{ \large{ \tt{x = 10}}}\)

\( \large{ \boxed{ \boxed{ \underline{ \large{ \tt{Our \: Final \: Answer : \underline{10}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♪

⋆ Let me know if you have any questions regarding my answer ⋆

\( \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}\) !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Compare the following examples: 1. When Abe was young, he learned that he could lighten the mood with humor. Others laughed at his jokes, and he began to see himself as the 'life of the party'. 2. Abe sometimes wishes he could be more studious and serious like his peers. A. The first example represents self esteem; the second example represents reflected appraisal. B. The first example represents social comparison; the second example represents reflected appraisal. C. The first example represents reflected appraisal; the second example represents social comparison. D. The first example represents perceived self; the second example represents presenting self. E. The first example represents halo effect; the second example illustrates horns effect.

Answers

The correct answer is option  C. The first example represents reflected-appraisal; the second example represents social comparison.

Given that: When Abe was young, he learned that he could lighten the mood with humor. Others laughed at his jokes, and he began to see himself as the 'life of the party'.
In the first example, Abe's sense of humor is positively reinforced by others laughing at his jokes, leading to an enhanced self-image. This is an example of reflected appraisal, where one's self-concept is shaped by the feedback received from others.

Also given that:Abe sometimes wishes he could be more studious and serious like his peers.
In the second example, Abe is comparing himself to his peers and wishing to be more like them. This is an example of social comparison, where individuals evaluate their own abilities and attributes by comparing themselves to others.
C. The first example represents reflected appraisal; the second example represents social comparison.

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PLZ HELP SOLVE...WILL BE GREATLY APPRECAITEEED

PLZ HELP SOLVE...WILL BE GREATLY APPRECAITEEED

Answers

Answer:

APPRECAITE THIS D-

Step-by-step explanation:

HELP HELP PLEASEEEEEE

HELP HELP PLEASEEEEEE

Answers


Domain: (-∞,∞)
Range: (0, ∞)
HELP HELP PLEASEEEEEE

find the HCF and LCM of 110 and 220 by prime factorisation what do you observe.​

Answers

Answer:

They are both the same numbers- its 110 and 220.

Step-by-step explanation:

GCF=   2 x 5 x 11 = 110

LCM=   2 x 2 x 5 x 11 = 220

A city has a population of 38,802,500. Estimate this number as the product of a single digit and a power of 10.

Answers

7 because 10 to the power of 7 is 10,000,000

Determine the amount of air required to fill a soccer ball
with a diameter of 22 cm?

Determine the amount of air required to fill a soccer ballwith a diameter of 22 cm?

Answers

Answer:

(5324/3) π  cm³

Step-by-step explanation:

football is a sphere.

radius = 0.5 X diameter = 0.5 (22) = 11 (cm)

volume  = (4/3) π(r)³

               = (4/3) π (11)³

              = ((4 X 11³)/3) X π

              = (5324/3) π (in cm³)

I will mark as brainiest!!!! Plzzzz help

I will mark as brainiest!!!! Plzzzz help

Answers

Answer:

A) One hundred random students

Step-by-step explanation:

Mrs. Byrne mowed 1 4 of her lawn. Her son mowed 2 7 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Mrs. Byrne mowed 1/4 of her lawn. Her son mowed 2/7 of it.  Mrs. Byrne mowed most of the lawn. The lawn still needs to be mowed is 13/28.

Mrs. Byrne mowed of his lawn = 2/7

Her son mowed of his lawn = 1/4

We firstly equal the denominator of both fraction by taking the LCM of both numbers.

The LCM of 7 and 4 is 28.

So we multiply and divide by 4 in the fraction 2/7 and by 7 in fraction 1/4. Now,

Mrs. Byrne mowed of his lawn = 2/7 × 4/4 = 8/28

Her son mowed of his lawn = 1/4 × 7/7 = 7/28

Now we compare the both fraction 8/28 and 7/28. The 8/28 is greater than 7/28. So we can say that Mrs. Byrne mowed most of his lawn.

The total lawn is 28/28.

So, the remaining lawn for mowed = 28/28 - (8/28 + 7/28)

The remaining lawn for mowed = 28/28 - (8 + 7)/28

The remaining lawn for mowed = 28/28 - 15/28

The remaining lawn for mowed = (28 - 15)/28

The remaining lawn for mowed = 13/28

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The complete question is:

Mrs. Byrne mowed 2/7 of his lawn. Her son mowed 1/4 of it. Who mowed most? How much of the lawn still needs to be mowed?

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