express the mix number as the sum of an integer and a fraction.

-1 2/3 = + (2/3)

Answers

Answer 1

We will add 1 to 2/3 to make sum of [tex]1\frac{2}{3}\\[/tex] of an integer and a fraction.

What is integer?

An integer, often known as a "round number" or "whole number," is any positive or negative number that does not contain fractional or decimal parts. Examples are 3, -10, and 1,025 which are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 12 (fraction) which are not.Three categories of integers exist: Negative integers with a value of 0 (Natural numbers) Integer Negatives (Additive inverse of Natural Numbers).

What is fraction?

An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.

- [tex]1\frac{2}{3}[/tex]  = _ + (2/3)

we will add 1 to 2/3 to make sum of [tex]1\frac{2}{3}\\[/tex] of an integer and a fraction.

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Related Questions

the overall change in temperature when the temperature is 10 degrees fahrenheit at 9:00 am and 10 degrees fahrenheit at 6:00 pm.

Answers

The change in temperature based on the time and the temperature given is 0.

What is temperature?

It should be noted that temperature simply means the degree of coldness and hotness of a particular body.

In this case, we want to calculate the overall change in temperature when the temperature is 10 degrees fahrenheit at 9:00 am and 10 degrees fahrenheit at 6:00 pm.

Therefore, the change will be the subtraction of the values given. This will be:

= 10°F - 10°F

= 0

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The line parallel to y=-4x-1 that passes through the point (3,-2)

Answers

Answer:

y=-4x+10

Step-by-step explanation:

-2= -4(3)+b

-2=-12+b

-10=b

why do we draw a median

Answers

the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
At a lacrosse tournament, students are charged $7 per ticket and adults are charged $10 per ticket. If 450 people attended the tournament, and a total of $3,600 was collected in ticket fees, how many students attended the tournament?

100

150

200

300

Answers

1) List the clues in system of equations

7x+10y = 3600

x+y= 450


2) Move x to the other side of the equation

y = 450 - x

3) Substitute it into the first equation


7x + 10(450-x) = 3600

4) Solve

7x + 4500 - 10x = 3600

-3x = -900

x = 300


There was 300 students that attended

The answer is 300 students

Each student have to pay 7$
So 7$*300=2100$
We have 150 people left(adults)
Because the total number of people is 450. So 450-300=150adults left
150*10=1500$
Total:1500$+2100$=3600$

Please help me with this ASAP!

Answers

Answer:

[tex] \frac{ {a}^{3} }{14 {b}^{2} {c}^{4} } [/tex]

Step-by-step explanation:

[tex] {14}^{ - 1} = \frac{1}{14} [/tex]

[tex] {b}^{ - 2} = \frac{1}{ {b}^{2} } [/tex]

[tex] \frac{ {14}^{ - 1} {a}^{3} {b}^{ - 2} }{ {c}^{4} } = \frac{ {a}^{3} }{14 {b}^{2} {c}^{4} } [/tex]

20 is 80% of what number?

Answers

Answer: 25?

Step-by-step explanation:

The number that 20 is 80% of is 25.


please help me with both of these questions! need them asap!!! thanks!!

Answers

Answers-  D) 4.4π  &  Area-44

1. To solve the first equation we must use the equation for find Circumfrence C=2πr. Our r is 2.2 so our equation would look as C= 2π2.2. Since 2 and 2.2 are whole numbers we can multiply them by one another and that gives us 4.4. So our final answer would be C= 4.4π or D)

2. The best way to solve for our area would be to cut the shapes straight down the middle. Now the two shapes will be 7x4 and 4x4. 7x4 is 28 and 4x4 is 16. To get our final answer we would add 28 and 16, which is 44. To show this one your work draw a line going straight down to cut the shapes into a square and a rectangle. (view source)  

HOPE THIS HELPS GOOD LUCK!!

What is the unknown angle measure in the given triangle?

A. 58
B. 122
C. 148
D. 180

Answers

58

Step-by-step explanation:

sum of angle inside a triangle is equal to 180

plus 90 and 32 you get 122 now subtract 180 and 122 the answer will be 58

1. The following data give the lengths of time (in weeks) taken to find a full-time job 18 civil engineering majors who graduated in 2005 from a small college. 6 12 21 15 8 4 6 13 16 30 7 24 11 48 15 10 14 14 25 a) Find the average length of time taken to find a full-time job The average length in time is b) Find the standard deviation​

Answers

The average length of time taken to find a full-time job is 16 and the standard deviation is 10.51.

Total Population = N = 18

Data is given below

[tex]x_{i}[/tex]    6  12  21  15  8  4  6  13  16  30  7  24  10  48  15  14  14  25

Mean = μ = ( ∑ [tex]x_{i}[/tex] ) / N

μ =  ( 6 + 12 + 21 + 15 + 8 + 4 + 6 + 13 + 16 + 30 + 7 + 24 + 10 + 48 + 15 + 14 + 14 + 25 )/18

μ = 288/18 = 16

Mean = μ = 16

[tex]x_{i}[/tex]              6     12   21 15  8    4    6    13  16  30   7     24  10    48   15  14 14  25

([tex]x_{i}[/tex] - μ)^2   100  16  25  1  64  144 100  9   0  196  121  64  36  1024  1    4  4   81

∑([tex]x_{i}[/tex] - μ)^2  = 100 + 16 + 25 + 1 + 64 + 144 + 100 + 9 +  0 + 196 + 121 + 64 + 36  + 1024 + 1  +  4 + 4  + 81  = 1990

Standard Deviation =√ (∑([tex]x_{i}[/tex] - μ)^2 / N )

Standard Deviation =[tex]\sqrt{1990/18}[/tex] = 10.5145 = 10.51

Thus, the standard deviation is 10.51 and the average length of time taken to find a full-time job is 16 .

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Please help me with this question

Answers

Distributive property, Subtraction property of equality, and Division property of equality had been used respectively according to the blanks provided.

First is distributive property, which states that if the equation is complex it needs to be simplified. The distributive property uses the PEMDAS rule which is the priority sequence in which the equation needs to be solved.

P stands for Parentheses, E stands for Exponents, M stands for Multiplication, D stands for Division, A stands for Addition, and S stands for Subtraction.

Second is the subtraction property of equality, which states the same number could be subtracted from both the side which is left-hand side and the right-hand side to solve an equation.

And the last is the division property of equality, which states the same number could be divided from both the side which is left-hand side and the right-hand side to solve an equation.

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A rectangular sheet of paper is 12 and 1/2 cm long and 10and 2/3 cm wide
Find the perimeter

Answers

The answer: 46 and 2/6cm
Explanation:
First, turn the mixed numbers into improper fractions:
12 and 1/2 is 25/2
25/2 + 25/2 = 50/2

10 and 2/3 is 32/3
32/3 + 32/3 = 64/3

Next, change the fractions so there is a common denominator:

50/2 = 150/6

64/3 = 128/6

Add the two fractions together:

150/6 + 128/6 = 278/6

Turn this back into a mixed number:

278/6 = 46 and 2/6

19238 divide by 15 write answer to 1decimal place

Answers

Answer: It’s approximately 1,282.5333

2. How many subsets with 3 elements of the set
A = {a, b, c, d, e} contain a?
A) 6
B) 8
C) 10
D) 15
E) 20

Answers

Answer:

They are 6 sunsets

Step-by-step explanation:

the sets are

(abc),(abd),(ade),(acd),(ace),(ade)

Jayden had pizza delivered. Jayden tips $5 for deliveries or 10% of the purchase, whichever is higher. The pizza delivered cost $29.50.
How much will Jayden tip?

Answers

Answer:

Five dollars?

Step-by-step explanation:

I don’t fully understand the question, so apologies if I am incorrect!

Pastels weekly salary includes base pay plus commission of his sales. the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars. find pastels salary in dollars for a week when his sales were 0$

Answers

the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars. pastels salary in dollars for a week when his sales were 0$ is $700.

Pastels weekly salary includes base pay plus commission of his sales.

the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars.

find pastels salary in dollars for a week when his sales were 0$

the model is given as

s=700+0.07c

let us solve for c, the sales made

s =700 +0.07c given sales is 0$

then s=700

Hence , the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars. pastels salary in dollars for a week when his sales were 0$ is $700.

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Write an equation for the following math sentence.
One half times the difference of twenty and a variable is two thirds

one half times the quantity y minus 20 equals two thirds
one half times the quantity 20 minus y equals two thirds
one half times y minus 20 equals two thirds
one half times 20 minus y equals two thirds

Answers

Answer:

One half times the difference of twenty and a variable is two thirds

one half times the quantity y minus 20 equals two thirds

one half times the quantity 20 minus y equals two thirds

one half times y minus 20 equals two thirds

one half times 20 minus y equals two thirds

0.5(20 - y) = 2/3

One half times the difference of twenty and a variable is two thirds :
1/2(20 - y) = 2/3
[this one im not too sure, please confirm it cause i don't think it is clear enough]

One half times the quantity y minus 20 equals two thirds :
1/2(y - 20) = 2/3

One half times the quantity 20 minus y equals two thirds :
1/2(20 - y) = 2/3

One half times y minus 20 equals two thirds :
1/2 x y - 20 = 2/3

One half times 20 minus y equals two thirds :
1/2 x 20 - y = 2/3

which, if any, of the following are antiderivatives of the function e x 2 ? circle all that apply, or ‘none’ as appropriate. z x 2 1 e t 2t dt z x √ 2 e t 2 dt e x 2 2x z x 2 0 e t dt n

Answers

The anti derivative of the function eˣ² is eˣ²/2x.

What is defined as the anti derivative?Derivatives are the inverse of antiderivatives. An antiderivative is a function that does the opposite of what a derivative does. There are many antiderivatives of one function, but they all take the shape of a function + an arbitrary constant. Indefinite integrals rely heavily on antiderivatives.An antiderivative, F, of the a function, f, is a function that may be differentiated to get the original function, f. In other words, an antiderivative is defined mathematically as follows:  ∫ f(x) dx = F(x) + C, where C  is the integration constant.

The given function is;  eˣ².

To find the anti derivative of the function, integrate the function with respect to x.

Let y = eˣ²

Integration of exponential function remains same but applying the chain rule, the derivative of the power of exponent comes at the denominator.

∫y. dx = ∫eˣ² .dx.

∫eˣ² .dx. = eˣ²/(d/dx)x²

∫eˣ² .dx. =  eˣ²/2x

Thus, the anti derivative of the function is found as eˣ²/2x.

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Round the number shown on the calculator to 1 decimal place (1 d.p.).

Answers

Answer:

Step-by-step explanation:

As you see the picture the number is 1.249

step 1

As you know before decimal the digits are said to be ones,tens, hundred so on and starts from left to right.

But after decimal it goes right to left and they are said ones,tenth,hundredth

step 2

so here it says 1 decimal place means ones means one digit after dot or point so its 2

The number rounded off to 1 decimal place is 1.2

what is rounding off a decimal number?

Rounding is a process to estimate a particular number in a context. To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up. Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy.

Given here, the number is 1.249 and thus the number rounded upto 2 decimal place is 1.25 and further rounding up the number to one decimal place we get 1.2

Hence, the number rounded upto one decimal place is 1.2

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A metal bat is dropped from a hot air balloon and strikes the ground 6 seconds later. How high was the hot air balloon?

Answers

The balloon was flying at a height of 176.58 m .

What are the definitions of the laws of motion?

The fundamentals of an object's motion, such as its position, velocity, or acceleration over time, are defined by kinematics equations of motion. An object's motion in one, two, and three dimensions is determined by these three equations of motion. One of three equations of motion can be used to calculate components like displacement (s), velocity (initial and final), time (t), and acceleration (a). The following are the three motion equations:

Initial formula: v = u + at

The second formula is s = ut + 0.5at2.

The third formula is v2 = u2 + 2as.

Let t stand for the duration of the metal bat's flight, s for the height at which the hot air balloon was traveling, and u for the metal bat's initial vertical velocity since it is simply dropped.

Given: The metal bat took 6 seconds to reach the ground.

With t = 12 and u = 0, the second equation of motion gives us s = 0*t + 0.5*9.81*162 = 176.58 m.


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the volume of a spherical balloon expands as air is pumped into it. assume air is being pumped at a constant rate of 400π in³/sec.what is the radius of the balloon when its volume is 972π in³?use the formula:v=46πr3v = \frac{4}{6} \pi r ^{3} v=64​πr3

Answers

The radius of the given sphere will be 9/π.

What is a sphere?A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is denoted by the letter r, and the given point is its center. The sphere is a three-dimensional shape that is sometimes referred to as a circle's second cousin. A sphere is a solid shape that is round, without edges. Balloons, playing balls, and even light bulbs are examples of objects with sphere shapes.

So, the formula for the volume of a sphere: V = 4/3πr³

Volume is 972, then the radius will be:

972 = 4/3πr³3(972) = 4πr³2,916 = 4πr³πr³ = 2916/4πr³ = 729r³ = 729/πr = ∛729/πr = 9/π

Therefore, the radius of the given sphere will be 9/π.

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In the figure, AFGH~AKLM. Find LM.
32 cm
G
20 cm
F
H
24 cm
Det h
L
K
M

Answers

Answer:456

Step-by-step explanation:

First you grab the crabby patty formula and then you decide that by 3 multiply it by 6 then after all of that you do the equation 64%78+4637=456 so that’s how I got my answer.

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A new streaming service sent out a survey to 250 households to see who would be interested in its service. The company found that it could charge $45 per month, with a margin of error of ±1.5. If 1,000 people signed up for the service, what is the least amount of monthly revenue the company should expect?

$43,500
$45,250
$46,500
$47,000

Answers

Based on the amount that the streaming service could charge per month and the margin of error, the least amount of monthly revenue that would be reasonably expected is $43,500

How to find the least revenue expected?

First, find the revenue of the new streaming service at its least amount:

= Charge for the month - margin of error

= 45 - 1.5

= $43.50

The least revenue the company can expected then is:

= Least revenue from streaming service x number who signed up for ther service

= 43.50 x 1,000

= $43,500

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help I have an exam coming up and I need to understand how to answer this problem

Answers

The surface area of the given pyramid is equivalent to 108 square inches.

Surface area of a pyramid

The surface area of a figure is the sum of the area of the surfaces of such figure.

The given pyramid is made up of 4 triangles and a square base.

Surface area = Area of square + 4(area of triangle)

Surface area = (6 * 6) + 4(1/2 * 6 * 6)

Surface area = 36 + 4(18)

Surface area  = 36 + 72

Surface area = 108 square inches

Hence the surface area of the square based pyramid is 108 square inches

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Can someone help me understand the following because I’m confused?

Answers

Given:

a.) Each small box of paper weighs 50 pounds.

b.) Each large box of paper weighs 80 pounds.

c.) There were 4 more large boxes shipped than small boxes.

d.) The total weight was 1750 pounds.

Since the scenario is involving two types of boxes, we will be using two variables to represent each of them.

Let,

x = the total number of the small box of paper

y = the total number of the large box of paper

Let's now generate the system of equations that we will be using to able to solve the problem.

1st relationship: There were 4 more large boxes shipped than small boxes.

Putting this into equation, we get:

[tex]\text{ y = x + 4}[/tex]

2nd relationship: The total weight was 1750 pounds.

For us to get the total weight, we will be adding the sum of the number of each box by the weight each box has.

We get,

[tex]\text{ 50x + 80y = 1750}[/tex]

In summary:

Let x = the total number of the small box of paper

Let y = the total number of the large box of paper

System of equations:

a.) y = x + 4

b.) 50x + 80y = 1750

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again atthe first of each year, which summation represents the money in the account 10 years after the initial deposit?10Ο Σ300(0.055) 2-1n=110Ο Σ305.5(1.055) 2-1n=110316.5(0.055)-1カ%3D110Σ316.5(1.055) 2-1n=1Save and ExitNextSubmitMark this and return

Answers

For this problem we use the formula for compund interest and substitute the 5.5% of interest annually and the initial deposit of $300:

[tex]\Sigma^{n=10}_{n=1}300(0.055)^{n-1}_{}[/tex]

Answer: first option.

Answer in graph form. Find <0 if sin0= 7/10 and cot0 is positive.

Answers

Sin(0)=-7/10

To get the right triangle's known sides, use the sine definition. Each value's sign is determined by the quadrant.

sin(0)=opposite/hypotenuse

Find the triangle formed by the unit circle's neighboring side. Use the Pythagorean theorem to determine the remaining side since the hypotenuse and opposite sides are known.

Adjacent=√hypotenuse²−opposite²

Change the equation's known values with new ones.

Adjacent=√(10)²−(7)²

Inside the radical, simplify.

Raise10the strength of2.

Adjacent=√100−(7)²

Raise−7the strength of2.

Adjacent=√100-49

Multiply −1 by 49.

Adjacent=√100−49

Subtract49 from 100.

Adjacent=√51

Find the cosine value.

Find the value of using the cosine definition.

cos(0).

cos(0)=adj/hyp

Replace with the known values.

cos(0)=√51/10.

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To get the right triangle's known sides, use the sine definition. The quadrant determines each value's sign.

The value of cos(0) exists √51/10.

What is meant by trigonometric identities?

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous unique trigonometric identities that relate a triangle's side length and angle.

To get the right triangle's known sides, use the sine definition. The quadrant determines each value's sign.

sin(0) = opposite/hypotenuse

To find the triangle formed by the unit circle's neighboring side. Use the Pythagorean theorem to determine the remaining side since the hypotenuse and opposite sides are known.

Adjacent = √hypotenuse² − opposite²

substitute the values in the above equation, we get

Adjacent = √(10)² − (7)²

Adjacent = √100 - 49

simplifying the above equation, we get

Adjacent = √51

To find the cosine value.

cos(0) = adjacent/hypotenuse

Replace with the known values.

cos(0) = √51/10.

Therefore, the value of cos(0) = √51/10.

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Given that log 2 = 0.3010 and log 3 = 0.4771, find log √30 without using a calculator.

Answers

Answer:

0.73855.

Step-by-step explanation:

log √30

log 30^1/2

= 1/2 log 30

30 = 2 * 3 * 5

= 3 * 10

So, log 30

= log (3*10) = log 3 + log 10

= 0.4771 + 1

= 1.4771

and log √30

= 1/2 log 30

= 1/2 * 1.4771

= 0.73855

There is a sales tax of $6 on an item that costs $80 before tax,the sales tax of the second item is $21 how much does the second item cost before sales tax

Answers

Answer:

39$

Step-by-step explanation:

if the tax is 6 dollars 6 goes into 21 3 times making 18 add 18 to 21 and that is your answer.

Is this statement true or false?

0 x 5 = 5 x 0

Answers

Yes because any number times zero is zero

The statement is true. Multiplication is commutative, which means that the order of multiplication does not affect the result.

The statement "0 x 5 = 5 x 0" is true because of the commutative property of multiplication. In multiplication, the order of factors does not change the result.

When we multiply 0 by 5, it equals 0 since anything multiplied by 0 is 0. Similarly, when we multiply 5 by 0, the result is still 0. Both expressions are equal to 0, confirming the commutative property.

In summary, 0 x 5 and 5 x 0 are interchangeable and yield the same result, proving the truth of the statement based on the fundamental property of multiplication.

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If TU= 16, UV = x + 4, and TV = 8x - 15, what is IV?

Answers

UV = 11 and TV = 41

What is ruler postulate

A line segment has two fixed end points in a line. The length of the line segment is the distance between two fixed points. The length can be measured by units such as centimeters, millimeters, feet or inches

The points on a line are matched one to one with the real numbers in ruler postulate.  Coordinate of the point is the real number that corresponds to a point. The distance between points A and B (AB) is equal to the difference of the coordinates of A and B.

As given,

TU = 16, UV = x+4  and TV = 8x -15

TU + UV = TV

16 + x+4 = 8x -15

16 + 4 +1 5 = 8x - x

35 = 7x

x = 35/5

x= 7

We can find UV = x + 4 by substituting the value of x

= 7 +4

= 11

and TV = 8x - 15

= (8*7) - 15

=56 - 15

=41

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Think about what you have read and then read the following scenario.Amy (two years old) frequently comes in without having eaten breakfast, and she seems quite tired during the morning.Answer the questions below.What family issues might be involved here?How might the early childhood educators help? Although he is in the executive branch, why is the president sometimes called the chief legislator?A) He is the highest official in both houses of Congress.B) He has great influence over which laws are passed.C) It is an honorary title if he once served on Congress.D) He is commander in chief of all branches of government. 8. as she walked through her neighborhood, jodie, a 6-year-old girl, frequently saw a large brown dog. she repeatedly walked to the dog to pet it, but as her hand approached the animal, it barked and bit her. the bite was painful and caused her to cry. now jodie cries when she sees dogs of any color or size. in the example, the dogs bite is the: Angles X and Y are supplementary. Angle X measures 126.25 and angle Y measures (m 10). Find mY. 53.75 63.75 107.5 117.5 A salad dressing is made by mixing oil and mayonnaise in the ratio 5 : 2Jack makes 700 ml of the salad dressing.How much oil does he use?Give your answer in millilitres (ml). QuestionRefer to the Newsela article "Real-Life Pet Detective Helps Find Lost Animals."How does the author of the Newsela article Real-Life Pet Detective Helps Find Lost Animals introduce Jamie Katz?Responsesby showing how serious she is about her jobby explaining how she first became a pet detectiveby giving an example of one of her recent casesby describing how many lost pets she has found (alsoo HELP ME PLSS ASAP ty) Solve 2x - y = y for xA. 2y - 2 B. y - 2 C. y. D. 0 The Sydney Opera House can house no more than 5738 people. Luisa Miller always brings crowds of at least 4,000 people. What is the maximum number of empty seats that might not be filled during her performance?What's the inequality for this story?Write the steps to solve itWhat is the solution?When this inequality is graphed will the limit be an open or closed circle?When this inequality is graphed will the line have an arrow pointing to the right or to the left? Question - For the functions f(x) = 5x and g(x) = 4x 5, find (f o g)(x) and (g o f)(x)provide your answer.(f o g)(x)= , (g o f)(x)= PLEASE HELP !!I HAVE TO DO A CARTOON FOR Equality for all persons!!GIVE ME IDEAS Ariya likes to play golf. The number of times per year that she plays depends on the price of playing a round of golf, Ariya's income, and the price of other types of entertainment-in particular, the price of going to a movie instead of playing golf. The three demand schedules in the following table show how many rounds of golf per year Ariya will demand at each price per round under three different scenarios. In scenario D1, Ariya's income is $50,000 per year and movies cost $9 each. In scenario D2, Ariya's income is also $50,000 per year, but the price of seeing a movie rises to $11. And in scenario D3, Ariya's income goes up to $70,000 per year, while movies cost $11.ScenarioIncome per yearPrice of movie ticketPrice of Golf$50$35$20D1$50,000$9152540D2$50,000$11Quantity Demanded101520D3$70,000$11153050 what is the horizontal asymptote as $x$ approaches positive infinity of $$\sqrt{4x^2 5x} - \sqrt{4x^2 x}?$$the horizontal asymptote is in the form $y