Which expression is equivalent to b-2/ab-3? assume a=0, b=0.

O a/b5
O 1/ab5
O a3b/1
O b/a

Which Expression Is Equivalent To B-2/ab-3? Assume A=0, B=0.O A/b5O 1/ab5O A3b/1O B/a

Answers

Answer 1

The expression b/a is equivalent to the given expression b⁻²/ab⁻³ when a≠ 0 and b ≠ 0. So, option D is correct.

What are the equivalent expressions?

The two or more expressions are said to be equivalent expressions if their value is the same even if they look different.

This is the same concept as equivalent fractions.  

Calculation:

The given expression is b⁻²/ab⁻³.

This expression is a fraction.

Simplifying the given expression:

b⁻²/ab⁻³

we know a⁻ⁿ = 1/aⁿ

So, we can write b⁻² = 1/b² and b⁻³ = 1/b³

Then, b⁻²/ab⁻³ = (1/b²)/a(1/b³)

⇒ b⁻²/ab⁻³ = 1/b² × 1/a × b³ = b × 1/a

∴ b⁻²/ab⁻³ = b/a

Thus, the equivalent expression for the given expression is b⁻²/ab⁻³ = b/a.

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Related Questions

Consider the linear function y=5x+12y=5x+12 and the linear function represented by the table of values below.

Answers

Answer:

Step-by-step explanation:

y intercept = 12 the one with no x

use process of elimination

function=straight line

At a local college, only 30% of students live off campus. Of those who live off campus, 62% of those students get a part-time job. Of those who live on campus, 65% work part-time. The tree diagram shows how the college students are divided into subgroups.

The tree diagram shows college students branching off into two categories, off campus and on campus students. Off campus students branches off into two sub-categories, work part-time and do not work. On campus branches off into two subcategories, work part-time and do not work.

What is the percentage of students who live on campus who do not have a part-time job?

18.6%
24.5%
35%
38%

Answers

Answer: I think the answer is 24.5%.

Step-by-step explanation: Because there are 30% of people who live off campus, the rest live on campus, which is 70%. 65% of those living on campus have a part time job. 65% of 70 is 45.5. The rest of them who live on campus that don't have a
part time job, is 35, or 35%. 35% of 70 is 24.5. But because it asking how many people who live on campus don't have a part time job out of everyone, not just those who live on campus, the answer would be 24.5% of 100, or just 24.5%.

Answer:

B, 24.5

Step-by-step explanation:

I just took the test

What is the equation of a line that is perpendicular to 2y 3x 1?

Answers

-2/3 is the slope of equation of a line that is perpendicular to 2y = 3x - 1.

How do one find the slope of a graph?

The slope is computed mathematically as "rise over run" (change in y divided by change in x).

In accordance with the slope equation, the slope of such a line may be determined by dividing the rise of the line between two positions by the run of the same line between the same two sites.

We know that the equation of the line in its slope-intercept form is:

y = mx+b

Where m = slope

b = y - intercept

A line that is perpendicular to it is y = (-1/m) x + b

The slope of the perpendicular line is -1/m

Rewriting the given equation 2y = 3x - 1, we get:

y = (3/2) x - 1/2

So, the slope of the perpendicular line is the reciprocal of 3/2 which is multiplied by -1.

The slope of the line = -2/3

Therefore, the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1 is -2/3.

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The complete question is as follows:

What is the equation of a line that is perpendicular to 2y = 3x - 1?

What is the formula of mean method?

Answers

The formula of mean method is  [tex]\frac{Sum of all values}{Number of values}[/tex].

The formula for the mean, also known as the average, is:

mean =  [tex]\frac{sum of all values}{number of values}[/tex]

For example, if you have a list of numbers [1, 2, 3, 4], the mean would be calculated as follows:

mean = (1 + 2 + 3 + 4) / 4 = 10 / 4 = 2.5

The mean is a measure of central tendency that gives you an idea of the typical value in a set of numbers. It is calculated by adding up all the values in the set and dividing the sum by the number of values.

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Which is the solutions of the equations 5x 2y 7 *?

Answers

The solution set for the given systems of equations : 5x + 2y = 7 and y = x + 1 is x = 5/7 and y = 12/7

Solving the equations :

5x + 2y = 7                                         (1)

y = x + 1                                              (2)

Subtracting x on both sides of equation (2)

y - x = 1

Multiplying the equation by 5 on both sides

5y - 5x = 5                                          (3)

Adding equation (1) and (3) we get

5x + 2y + 5y - 5x = 7 + 5

7y = 12

y = 12/7

Solving for x by substituting y = 12/7 in (2)

12/7 = x + 1

x = 12/7 - 7/7

x = 5/7

--The question is incomplete, answering to the question below--

"What is the solution set of the given systems? 5x + 2y = 7 and y = x + 1"

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melania is tracking her running training program. the table gives her 5k run time at the end of each month. month time (in minutes) 1 47 2 43 3 39 4 36 5 35 6 33 what is the equation for the line of best fit, where x represents the month and y-hat represents the predicted time? y hat equals 33.6 plus 2.77 times x y hat equals 48.5 plus 2.77 times x y hat equals 33.6 minus 2.77 times x

Answers

The required regression  equation for the line of best fit, where x represents the month and y-hat represents the predicted time is;

y = -2.78x + 48.5

How to find the regression equation?

A regression equation is defined as the equation that is used in stats to find out what relationship, if any, exists between sets of data

From the given table, let x represents the month and y represents the time. Thus;

Mean of x; x-bar = (1+2+3+4+5+6)/6 = 21/6

x-bar = 3.5

Mean of y; y-bar = (47+43+39+36+35+33)/6

y-bar = 233/6 = 38.83

∑x = 21

∑y = 233

Using statistics calculator;

Sum of squares (SSX) = 17.5

Sum of products (SP) = -48.5

The general form of a regression Equation is;

y-bar = bx-bar + a

Where;

b = SP/SSX

= -48.5/17.5

= -2.77143

a = y-bar - b(x-bar) = 38.83 - (-2.77×3.5) = 48.53333

y = -2.78x + 48.5

Thus, the required regression equation is y = -2.78x + 48.5 for the line of best fit.

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What is it called when you do 1 2 3 4?

Answers

Natural Numbers The numbers we use to count or arrange are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. Whole Numbers the sum of natural numbers and zero. not a fraction or decimal.

what is counting ?

The counting-on method can be used by mathematicians to add numbers. With this approach, a student first adds the larger number, then "counts on" with the other addends to arrive at the sum. If the number sentence is 4 + 3, the student will understand that 4 is the greater number and will add three additional numbers, such as the integers "4... 5, 6, 7."

here ,

For those of you who are not aware with this series, it indicates that the sum of all natural numbers, i.e., 1, 2, 3, 4, and so on, up to infinity .

Is equal to -1/12 and has come to be known as the Ramanujan Summation .

Whole Numbers the sum of natural numbers and zero. not a fraction or decimal.

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find the number that completes the equation 6/5 divided blank = 6

Answers

Answer:

1/5 or 0.2

Step-by-step explanation:

[tex]\frac{6}{5}[/tex] multiplied by 5 or [tex]\frac{5}{1}[/tex]

[tex]\frac{6}{5}[/tex]x[tex]\frac{5}{1}[/tex]=6

so when dividing , you reciprocate the value after the division sign.

[tex]\frac{6}{5}[/tex]÷[tex]\frac{1}{5}[/tex]=[tex]\frac{6}{5}[/tex]x[tex]\frac{5}{1}[/tex]=6

therefore, "blank"= 1/5 or 0.2

What is the radius of X² y² 16?

Answers

The radius of X² y² 16 is 4.

X² y² 16 is a circle equation. To solve for the radius, we need to divide both sides by 4, then take the square root of both sides. So, 16/4 = 4 and √16 = 4. Therefore, the radius of X² y² 16 is 4. As a reminder, the equation for the radius of a circle is r = √(x² + y²). Therefore, when solving for the radius of a circle, the first step should be to divide both sides of the equation by 4 and then take the square root of both sides.

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If f(x) has a y-intercept at 3 and x-intercepts at 2 and −4, and if
g(x) = −2f(−2x), what are the intercepts of g(x)?

Answers

Answer:

Step-by-step explanation:

The y-intercept of g(x) is 3 * -2 = -6.

To find the x-intercepts of g(x), we need to find the values of x that make g(x) equal to 0. Since g(x) = -2f(-2x), this means we need to find the values of x that make f(-2x) equal to 0. Therefore, we can find the x-intercepts of g(x) by solving the equation f(-2x) = 0 for x.

Since the x-intercepts of f(x) are at 2 and -4, this means that the equation f(x) = 0 has solutions at x = 2 and x = -4. Substituting these values into the equation f(-2x) = 0, we get:

f(-2(2)) = 0

f(-4) = 0

and

f(-2(-4)) = 0

f(8) = 0

Therefore, the x-intercepts of g(x) are at x = -2 and x = 4. These are the only intercepts of g(x) that we can determine for certain.

Whats 416 divided by 3 with remainder

Answers

Answer:

416 / 3 = 128 with a remainder of 2.

Step-by-step explanation:

When 416 is divided by 3 can be expressed as 138 with a remainder of 2.

When we divide 416 by 3, the quotient represents the whole number result of the division, while the remainder represents the amount left over.
Dividing 416 by 3 gives us:

416/3 = 138 + 2/3
Quotient: 416/3 = 138

Remainder: 416/3 = 2


However, there is a remainder of 2. The remainder represents the amount that is left over after dividing as much as possible. In this case, after dividing 416 by 3, there is 2 left over that cannot be evenly divided.

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How do you calculate the inverse?

Answers

The inverse of a number is it's reciprocal. Divide 1 by the number to obtain its reciprocal.

For example, the reciprocal of 5 is 1/5, and the reciprocal of 0.5 is 2. The reciprocal of a number x is denoted by 1/x or x^(-1).

For example, to find the reciprocal of 8, you would divide 1 by 8, like this:

1/8 = 0.125

To find the reciprocal of a fraction, you can also turn the fraction upside down to get its reciprocal. For instance, 4/3 is 3/4's inverse.

To find the inverse of a matrix, you can use the following formula:

A^(-1) = (1/det(A)) * adj(A)

where A is the matrix, det(A) is the determinant of the matrix, and adj(A) is the adjugate of the matrix. The transposition of a matrix's cofactor matrix is adjugate. The cofactor matrix is a matrix of the determinants of the minors of the original matrix, each of which is multiplied by a cofactor (-1)^(i+j). The minors of a matrix are the determinants of the square submatrices formed by deleting one row and one column from the matrix. The determinant of a matrix is a scalar value that can be computed from its elements.

For example, consider the matrix A:

[a b]

[c d]

The determinant of A is:

det(A) equals (a * d) - (b * c).

The cofactor matrix of A is:

[d -b]

[-c a]

The adjugate of A is the transpose of the cofactor matrix, so it is:

[d -c]

[-b a]

The inverse of A is then:

A^(-1) = (1/det(A)) * adj(A)

= (1/((a * d) - (b * c))) * [d -c]

[−b a]

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How to solve 3x - 5 =40

Answers

Add 5 to 40

3x=45 divide both by 3

X=15

Answer:

[tex]x=15[/tex]

Step-by-step explanation:

[tex]3x-5=40\\3x=40+5\\3x=45\\x=\frac{45}{3} \\x=15[/tex]

Is √ 3 is polynomial or not?

Answers

Yes,  3x² is a polynomial, but a special form of a polynomial with just one term which is called monomial.

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given expression is 3x².

In the given expression three times of x square, x is the variable.

For an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Yes, this is a polynomial, but a special form of a polynomial with just one term which is called monomial.

Hence,  3x² is a polynomial.

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Is 6th grade math hard?

Answers

Answer:

not really

Step-by-step explanation:

What will be the median of the given data if the mean is 4.5 5 7 7 8 a 5 4 3 1 2?

Answers

The median for a given set of observations is 4.

What is mean?

The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean. A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. When a data collection is arranged from least to largest, the median is the midway value. The mode is the number that appears the most frequently in a data collection.

Here,

given set of observation,

=5,7,7,8,a,5,4,3,1,2

4.5=(5+7+7+8+a+5+4+3+1+2)/10

45=42+a

a=3

median=5,7,7,8,3,5,4,3,1,2

=1,2,3,3,4,5,5,7,7,8

median=10/2

=5th term

=4

The median for given set of observation is 4.

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What are the 3 triangle similarity theorems?

Answers

Triangle similarity theorems are essential to geometry and can be used to compare two triangles. The three triangle similarity theorems are:

Side-Side-Side (SSS) Similarity TheoremAngle-Angle-Side (AAS) Similarity TheoremAngle-Side-Angle (ASA) Similarity Theorem

3 Triangle similarity theorems

The Side-Side-Side (SSS) Similarity Theorem: If the three sides of one triangle are proportional to the three sides of a second triangle, then the two triangles are similar. The Angle-Angle-Side (AAS) Similarity Theorem: If two angles of one triangle are equal to two angles of a second triangle, and the included side of the first triangle is proportional to the included side of the second triangle, then the two triangles are similar. The Angle-Side-Angle (ASA) Similarity Theorem: If two angles of one triangle are equal to two angles of a second triangle, and the sides between them are proportional, then the two triangles are similar.

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JS 19. Evaluate the integral || curlĒ dĞ using Stoke’s Theorem, where F =-yi+xj+ryck and S is the part of the sphere r2 + y2 + 22 = 4 that lies above the cy-planes, oriented upward. A. 27 B. 0 C. 87 D. -87 E. 47

Answers

The integral || curl F || dĞ is equal to -2. The correct answer is therefore option D that is -87.

To evaluate the integral || curl F || dĞ using Stoke's Theorem, we need to find a vector field F and a surface S such that the boundary of S is a closed curve C and the integral is equal to the flux of the curl of F through S. Using the given information, we can find the components of F as:

F = (-y, x, r)

The curl of F is given by:

curl F = (0, 0, 1)

The surface S is the part of the sphere r2 + y2 + z2 = 4 that lies above the cy-planes, oriented upward. This surface can be parameterized by:

x = rcosφcosθ

y = rcosφsinθ

z = rsinφ

where 0 ≤ φ ≤ π and 0 ≤ θ ≤ 2π.

The boundary of S is the curve C, which is the intersection of the sphere and the cy-plane. This curve can be parameterized by:

x = rcosθ

y = rsinθ

z = 0

where 0 ≤ θ ≤ 2π.

Using Stoke's Theorem, the integral || curl F || dĞ is equal to the flux of curl F through S, which is given by:

∫|| curl F || dĞ = ∫curl F · ndC

where n is the unit normal vector to the surface S.

Substituting the expressions for curl F and the parameterizations of S and C, we get:

∫|| curl F || dĞ = ∫(0, 0, 1) · (cosφcosθ, cosφsinθ, sinφ)dC

= ∫(sinφ)dC

= ∫sinθdθ

= [-cosθ]θ=0θ=2π

= -2

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What is a transformation in math grade 7?

Answers

A transformation in mathematics is a process of manipulating a polygon.

A transformation in maths is nothing but a process that manipulates a polygon or any other two-dimensional object on a plane or coordinate system. A transformations describe how two-dimensional figures move around a coordinate system.

The original shape of the object before any transformation is called the Pre-Image and the final shape and position of the object is called as the Image.

In mathematics, there are five different transformations:

Dilation, Reflection, Rotation, Shear and Translation

Therefore, transformation is a process of manipulating a polygon.

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Calculate the perimeter:
7cm
17cm
Rectangle

Answers

Answer:

48

Step-by-step explanation:

2*(L+W)

=2*(7+17)

********

What are the roots of x2 5x − 6?

Answers

The roots of polynomial x2 5x − 6 are x = 3 and x = -2.

Factor the polynomial

x2 5x − 6 = (x - 3)(x + 2)

(x - 3) = 0

x - 3 = 0

x = 3

(x + 2) = 0

x + 2 = 0

x = -2

To find the roots of the equation x2 5x - 6, we must first factor the polynomial into two terms. The equation can be factored as (x - 3)(x + 2). We then have to set each factor equal to zero. For the first factor, (x - 3) = 0. With this equation solved, we obtain x = 3. (x + 2) Equals 0 for the second factor. The answer to this problem is x = -2. As a result, x = 3 and x = -2 are the roots of x2 5x - 6.

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You have blank when you divid both sides of equation 3n=12by 3

Answers

Answer:

n = 4

Step-by-step explanation:

You have ____ when you divide both sides of equation 3n = 12 by 3:

3n = 12

3n/3 = 12/3

n = 4

How do you find the height of a pyramid if the base area and the volume is known?

Answers

A square pyramid's volume and base area allow figuring out its height simple. H = 3 * V / (A_b).

Explain height of a square pyramid?The distance between the base and the vertex of a square pyramid, commonly known as its height or altitude. We discover the height of the pyramid when questioned how tall it is.Pyramids have volume because they are solid shapes. And from there, we can extrapolate the height of the a pyramid.

How to determine a square pyramid's height

Knowing the volume and base area of a square pyramid makes calculating its height simple.You just need to divide each component by the base area and multiply its volume by three, as stated with in formula below:

H = 3 * V / (A_b)

Where:

H - height of pyramid;V - volume of the pyramid; andA_b - pyramid's base area.

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Find the perimeter of the triangle

(21-x) in.
(2x - 3) in.
(x + 5) in.

Answers

The Perimeter of the triangle is 23+2x in³


We know that formula of the Perimeter of the triangle is:
Perimeter= A+B+C
where A=(21-x)in.
B=(2x-3)in.
C=(x+5)in.

Solution:
Perimeter = (21-x)+(2x-3)+(x+5)

Perimeter = (18+x)+ (x+5)

Perimeter = 23+2x in³

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What is a median of 25?

Answers

The median of the first 25 whole numbers is 12.

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.

The data set's median is the value in the center. Put all the numbers in ascending or descending order, and then choose the middle number to determine the median. There will only be one middle integer if the number of data points is odd. If the number of data points is even, you must choose the middle two numbers, add them together, and divide by two.

The first 25 whole numbers are as follows:-

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Here total no. of terms = n = 25 which is odd.

Therefore median = (n + 1)/2 th term

= (25 + 1)/2 th term

= 26/2 th term

= 13th term

Here, the 13th term is 12

Hence, the median of the first 25 whole numbers is 12.

Complete question: What is the median of the first 25 whole numbers?

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How to learn maths fast?

Answers

Learning mathematics quickly requires dedication and hard work.

What is mathematics?

Mathematics is the science of numbers, shapes, and patterns. It is used to describe and explain the physical world and to solve problems. Mathematics is a language that helps us to understand and communicate ideas. It is a tool used to organize and understand data, determine relationships, and make predictions.

According to the given question:

The first step to learning math quickly is to determine your level of understanding. It is important to identify any weaknesses in order to develop a plan to improve them. Once the strengths and weaknesses are identified, it is important to set realistic goals and to create an action plan to reach those goals.

It is also important to find a good tutor or mentor to help guide the learning process. A tutor or mentor can provide guidance, resources, and practice problems to help increase understanding of the subject. Additionally, they can help identify problem areas and provide feedback that can help improve learning.

Finally, it is important to take advantage of online resources. There are many online tutorials, websites, and videos that can help improve the learning process.

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zhi noticed that an odd number had appeared eight times in a row on the following roulette table. she now felt very strongly that an even number would be next. on a single spin, the probability of getting an even number is 18 over 38. considering the last eight spins resulted in odd numbers, what is the probability of getting an even number on the next spin? a.) 18 over 38 because each spin is independent. b.) 0 because each spin is independent. c.) 8 over 38 because each spin is dependent. d.) 1 over 38 because each spin is dependent.

Answers

The probability of getting an even number on the next spin is a.) 18 over 38 because each spin is independent.

Probability is honestly how possibly some thing is to happen. Whenever we are uncertain approximately the final results of an occasion, we are able to communicate approximately the chances of positive outcomes—how possibly they are. The evaluation of occasions ruled via way of means of possibility is referred to as statistics. Probability is calculated via way of means of dividing the quantity of methods the occasion can arise via way of means of the overall quantity of outcomes. Probability and odds are one-of-a-kind concepts. Odds are the possibility that some thing occurs divided via way of means of the possibility that it would not happen.

Thus, the correct option is a.

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Course activity: modeling with functions

Monica and Shanna are saving the money they earn from their after-school jobs to go on a school trip. Monica starts with $20 and then saves $14 each week. Shanna's savings are shown in the table.

Monica’s savings can he modeled by a ____ table
Shanna’s savings can be modeled by a ____ table

Answers

Answer:Both A and C

Step-by-step explanation:

Four friends want to take a vacation together, so each one gets a part-time job. Each person has 8 weeks to save $720 for the vacation. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $720 for vacation.

Friend A: Works 13 hours per week at $6.95 per hour.

Friend B: Works 15 hours per week at $5.85 per hour.

Friend C: Works 18 hours per week at $5.25 per hour.

Friend D: Works 11 hours per week at $7.80 per hour.  there!

Which form of a linear equation is more efficient for determining each characteristic?
Slope
x -intercept
y -intercept
If you want to use your calculator to graph an equation, which form is more efficient?

Answers

Answer:

1/ Point slope form is more efficient for determining the Slope

2/ Standard form is more efficient for determining x-intercept and

y-intercept

3/ If you want to use your calculator to graph an equation, the Point slope form is more efficient

Step-by-step explanation:

1/ I say point slope form because the slope in this form is a point on the line, and he if knows the point on the graph and slope, he can graph the line easily.

2/ I say standard form because x​ and ​y​ intercepts ​ of a graph, that is, the point where the graph crosses the ​ x-axis and the point where it crosses the ​ y ​-axis. So, it is the easiest form to find the x and y intercepts.

3/ If he knows a point and the slope he can graph it easily.

How do you know if the limit is positive or negative infinity?

Answers

Limit base x to a f(x) is equal to infinity if we can say f(x) arbitrarily large for all x sufficiently x=a, from both sides, without actually letting x=a.

Given that,

We have to find how do we know if the limit is positive infinity or a negative infinity.

We know that,

What is infinity?

On a number line, numbers move closer to positive infinity as they advance to the left and negative infinity as they move to the right. Positive infinity is always larger than any number, while negative infinity is always smaller.

Now,

We say

Limit base x to a f(x) is equal to infinity if we can say f(x) arbitrarily large for all x sufficiently close to x=a, from both sides, without actually letting x=a.

And

Limit base x to a f(x) is equal to negative infinity if we can say f(x) arbitrarily large and negative for all x sufficiently close to x=a, from both sides, without actually letting x=a.

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PLEASE HELP DUE MONDAYP is a function that gives the cost, in dollars, of mailing a letter from the United States toMexico in 2018 based on the weight of the letter in ounces, w.1. How much does it cost to send a letterthat weighs 1.5 ounces? 2 ounces?2. Sketch a graph of the function on thecoordinate planepostage (dollars) When Josh was seventeen, he killed a family of four in a drunk driving accident. As part of his community service, Josh goes around to high schools telling other teens about the terrible thing he did in an attempt to prevent them from doing the same thing. Based on this information, why do you think Josh is considered an attractive source for this type of mes what is the probobilty of not rolling a 5 on a standard cube Lifelong Learning( Veronica takes advantage of all training opportunities offered at her job. She registered and attended workshops on diversity, cultural awareness, computer programs, etc...)This is an example of a ... * 7,945100 is equal to which number?7,94579.450.79457.945 Discuss Three challenges you might face post-schooling that you would turn into an opportunity ? What is social heterogeneity Ed turns 34 and deposits $100 at the end of each month in IRA that earns 9% interest p.A compounded monthly. Find how much will be in the IRA if Ed retires at the age 60. Calculate the slope of the line using two points.Question 1 options:-1/41-41/4Calculate the slope of the line using two points.Question 2 options:1241/4Calculate the slope of the line using two points.Question 3 options:1/32/33/23Question 4 Calculate the slope of the line using two points.Question 4 options:1/32/33/22 This river flows from south to north 1. Niger 2. Zambezi 3. Congo3. Nile In the early 1900's many large metropolitan areas used rail service as their mode of transportation. Throughout the twentieth century, people began using their cars and the railroads sat empty in these large cities.Today, many large cities have too many cars on the road resulting extreme traffic congestion on the highways.To reduce the traffic problems, these cities are now looking to re-use some of the infrastructure from the old rail systems to build new light rail systems. The return to rail as a means of transportation illustrates which of the following ideas about social change?1. Mechanical solidarity2. Contagion theories3. Rise and fall theories of social change4. De differentiation How many grams of glycerine, C3H8O3, are needed to make 100. mL of 2.60 M solution? Which of the following best explains why the USDA releases Dietary Guidelines for Americans every five years?to help Americans make wise food choicesto adjust serving sizes based on obesityto outline suggested servings on the pyramidto improve health by suggesting portion sizes Fossils give evidence of continental drift FalseTrue Advanced Enterprises reports yearend information from 2019 as follows: Sales (160,250 units) $969,000 Cost of goods sold (641,000) Gross margin 328,000 Operating expenses (268,000) Operating income $60,000 Advanced is developing the 2020 budget. In 2020 the company would like to increase selling prices by 13.5%, and as a result expects a decrease in sales volume of 10%. All other operating expenses are expected to remain constant. Assume that cost of goods sold is a variable cost and that operating expenses are a fixed cost. What is budgeted cost of goods sold Which equation best represents the relationship between x and y shown in the table. Please help, I know this is a lot to read please help, will mark brainlestRead the poem and answer the question.[1]I wandered lonely as a cloudThat floats on high o'er vales and hills,When all at once I saw a crowd,A host, of golden daffodils;[5]Beside the lake, beneath the trees,Fluttering and dancing in the breeze.Continuous as the stars that shineAnd twinkle on the milky way,They stretched in never-ending line[10]Along the margin of a bay:Ten thousand saw I at a glance,Tossing their heads in sprightly dance.The waves beside them danced; but theyOut-did the sparkling waves in glee:[15]A poet could not but be gay,In such a jocund company:I gazedand gazedbut little thoughtWhat wealth the show to me had brought:For oft, when on my couch I lie[20]In vacant or in pensive mood,They flash upon that inward eyeWhich is the bliss of solitude;And then my heart with pleasure fills,And dances with the daffodils.Line three signals a tone shift from sadness to ______________________. concern curiosity humor wonder Once sales tax is included, a $500 fancy watch ends up costing $525. What is the sales taxpercentage? Why does Annabeth make Percy stand in the water?Chapter 8Percy Jackson and the Olympians The Lightning Thief P11-1A Tidal Corporation was organized on January 1, 2017. It is authorized to issue 20,000 shares of 6%, $50 par value preferred stock and 500,000 shares of no-par common stock with a stated value of $1 per share. The following stock transactions were completed during the first year: Jan. 10 Issued 70,000 shares of common stock for cash at $4 per share. Mar. 1 Issued 12,000 shares of preferred stock for cash at $53 per share. May 1 Issued 120,000 shares of common stock for cash at $6 per share. Sept. 1 Issued 5,000 shares of common stock for cash at $5 per share. Nov. 1 Issued 3,000 shares of preferred stock for cash at $56 per share. Instructions: Journalize the transactions.