b.94 inches?
2. At a hardware store, a tool set normally costs $80. During a sale this week, the toc
set costs $12 less than usual. What percentage of the usual price is the savings?
Explain or show your reasoning.

Answers

Answer 1

Answer:

12%

Step-by-step explanation:

Answer 2
15%

80-12=68

68/80= .85 so you’re paying 85% of the original which means you are saving 15%.

80*.15=12 which is the amount that was taken off

Related Questions

what is 9.5 is what % of 50 i have a test tomorrow 1/11/23 and I dont understand it

Answers

The percentage statement is 9.5 is 19% of 50

How to determine the percentage

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

9.5 is what % of 50

Complete the blank with x

So, we have the following representation

9.5 = x% of 50

So, we have

9.5 = x% * 50

Divide both sides by 50

0.19 = x%

Multiply both sides by 100

So, we have

x = 19

Hence, the solution is 19

Read more about percentage at

https://brainly.com/question/24877689

#SPJ1

( x - 4 ) + ( 2x - 7 )

- find the Sum or Difference :)

Answers

[tex]( x - 4 ) + ( 2x - 7 )[/tex]

Combine Like Terms:

[tex](x+2x)+(-4+-7)[/tex]

[tex](3x)+(-11)[/tex]

[tex]\fbox{3x - 11}[/tex]

Answer:3x-11

Step-by-step explanation:

(x-4)+( 2x-7)

x-4+2x-7

3x-11

Tree+snowman+tree=17

Answers

that means tree would mean 100000 points

Answer:

tree = 8

snowman = 1

deer = 4

snowflake = 4

Step-by-step explanation:

say t = tree, s = snowman, d = deer, f = snowflake

1. For 2d + f, since you know d is equal to f, replace the snowflake with a deer, turning the equation into 3d = 12. To find the value of d divide by 3 on both sides. This will result in 4. So, the value of deer = 4.

2. Now, find the value of the snowman using the value of the deer.

4-3 = 1. This means the value of the snowman = 1.

3. Plug in the value of the snowman into 2t + s = 17.

     2t + 1 = 17

  Subtract on both sides to get 2t by itself and then simplify

      2t = 17 -1 --> 2t = 16

  Divide by 2 on both sides to find the value of the tree

      2t/2 = 16/2 --> t = 8

A farmer has a field in the shape of a semicircle of diameter 50 m. The farmer asks Jim to build a fence around the edge of the field. Jim tells him how much it will cost. Total cost = £29. 86 per metre of fence plus £180 for each day's work Jim takes three days to build the fence. Work out the total cost. Show your working out

Answers

The total cost is £2033.

The field is in the shape of a semicircle, so the radius of the field is half the diameter or 50 m / 2 = 25 m.

The circumference of a circle is given by 2 * pi * r, where r is the radius of the circle.

So the circumference of the semicircle is 2 * pi * 25 = 50 * pi m.

The cost of the fence is £29.86 per meter. So the cost of the fence is 50 * pi * £29.86 = £1493.

Jim takes three days to build the fence and charges £180 per day.

So the cost for the labour is 3 * £180 = £540.

Adding the cost of the labour to the cost of the fence: £1493 + £540 = £2033

So the total cost is £2033.

To learn more about the circumference, visit:

brainly.com/question/28757341

#SPJ4

find the probability that a point chose a t random on the part of the number line shown will lie between points B and C. (anwser should be in a fraction or decimal)

Answers

The probability of point being in between B and C is 0.167

A probability definition is what?

Probability is a statistic used to indicate the likelihood or potential that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.

What are examples and probability?

The likelihood is based on the range of potential outcomes. the total number of possible outcomes. As an illustration, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.

Distance between B and C= 4 units

Total distance=24

Probability that point lie between B and C = 4/24 =1/6

To know more about probability visit:-

brainly.com/question/30034780

#SPJ1

In 200920092009, Usain Bolt set the world record for sprinting 100 \text{ m}100 m100, start text, space, m, end text in approximately 9\dfrac359
5
3

9, start fraction, 3, divided by, 5, end fraction seconds.
Find his average speed in meters per second.
meters per second

Answers

The average speed of Usain Bolt in meters per second is given as 10.42 meters

How to solve for the average speed

The formula for speed is given as distance / time

the distance is said to be 100m

the time as it is written here is said to be 9 3/5

this is written as an improper fraction = 48 / 5

We are to find the average speed in meter per second

speed = 100 / (48/5)

speed = 500 / 48

speed = 125 / 12

write this as a mixed fraction or in decimal

speed = [tex]10\frac{5}{12}[/tex] or 10.42

Read more on average speed here: https://brainly.com/question/4931057

#SPJ1

in a right triangle with sides a and b and c where c is the hypotneuse, what is the cosine of angle A?

Answers

In a right triangle with sides a and b and c where c is the hypotenuse, then the cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.

In the given question, in a right triangle with sides a and b and c where c is the hypotenuse, then we have to find the cosine of angle A.

A right triangle is a triangle with one of the internal angles at 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

The cosine of angle A is the ratio of Adjacent side to the angle A and Hypotenuse of triangle.

Cosine of angle A = Adjacent side to the angle A/Side adjacent to the angle A

Cosine of angle A = b/c

To learn more about right triangle link is here

brainly.com/question/29285631

#SPJ4

How do you find the third side of a right triangle with two sides?

Answers

The Third side of the right triangle with two sides can be found by Pythagoras Theorem that means by adding the square of other two sides .

What is Pythagoras Theorem ?

The Pythagoras Theorem states that the , in a Right Triangle, the square of the hypotenuse side (longest side) is equal to the sum of squares of the other two sides“.

The sides of this triangle are named as Perpendicular, Base and Hypotenuse. where , the hypotenuse is longest side of the triangle , because ,  it is opposite to the angle 90°.

Therefore , the third side (longest side) of a right triangle with two sides can be found by adding the square of the other two sides .

Learn more about Triangles here

https://brainly.com/question/30106737

#SPJ4

assume for a given studey that the null hypothesis asserts that the expected value of a phenomenon is 100

Answers

In a given study that the null hypothesis asserts the expected value of a phenomenon is 100 resulting in a 95% confidence interval reported as [98.76, 105.24], then we fail to reject the null hypothesis.

Therefore the answer is d) Fail to reject the null hypothesis.

A 95% confidence interval is a range of values that there is a 95% chance that the true value of a population parameter falls within. In this case, the 95% confidence interval is [98.76, 105.24], which includes the expected value of 100 that is stated in the null hypothesis.

Therefore, we fail to reject the null hypothesis because the data does not provide sufficient evidence to suggest that the true value of the population parameter is different from what is stated in the null hypothesis.

It's worth to mention that, Failing to reject the null hypothesis doesn't mean accepting it, it means that we don't have enough evidence to say that the parameter is different from the null hypothesis, it could be due the sample size, or other factors.

--The question is incomplete, complete question is as follows--

"Assume for a given study that the null hypothesis asserts the expected value of a phenomenon is 100. A research study results in a 95% confidence interval reported as [98.76, 105.24]. What decision would you make based on this confidence interval?

a) A decision cannot be made on a confidence interval; a hypothesis test is required.

b) Retain the null hypothesis.

c) Reject the null hypothesis.

d) Fail to reject the null hypothesis."

To know more on hypothesis test

https://brainly.com/question/28920252

#SPJ4

Write the place value and value of each digit of the decimals 6905.327 also write its name and expanded form

Answers

Answer:

6000.000 + 900.000 + 0 + 5 + 3/10 + 2/100 + 7/1000

six thousand nine hundred and five ones point(.) three tenths two hundredths and seven thousandths

Step-by-step explanation:

right!!!

b. How should Kiran change the quantities that he used
so that his smoothie tastes
just like Clare's?

Answers

Answer:

Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.

Step-by-step explanation:

(aryan)

which line is LR NOT a transversal to?

Answers

Answer:    It is not possible for me to determine which line LR is not a transversal to without more context. A transversal is a line that intersects two or more other lines at different points. In order to determine which line LR is not a transversal to, I would need to know the other lines that are involved and the points at which they intersect.

Step-by-step explanation:

What are the coefficients of the equation 3x 6y 13 *?

Answers

In the equation [tex]3x-6y=-13[/tex] , the coefficient of equation are , coefficient  of  [tex]x[/tex] is [tex]3[/tex] and the coefficient of [tex]y[/tex] is [tex]-6[/tex] .

What are Coefficients ?

The Coefficients are defined as a number that is placed with a variable. It is a integer that is multiplied by the variable and written next to it.

In simpler words, we can say that ; a coefficient is a multiplicative factor in the terms of a polynomial, a series, or any expression.

The variables that do not have a number written with them are assumed to have 1 as their coefficient.

For example, in the expression [tex]3x[/tex] , the coefficient of [tex]x[/tex] is [tex]3[/tex] ,  but in the expression [tex]x^{2} +3[/tex], [tex]1[/tex] is the coefficient of [tex]x^{2}[/tex].

The equation to find the coefficient is given as [tex]3x-6y=-13[/tex] ,

we see that , the numerical part with [tex]x[/tex] is [tex]3[/tex] and with [tex]y[/tex] is [tex]-6[/tex] ;

Therefore , the coefficient of [tex]x[/tex] is [tex]3[/tex] and [tex]y[/tex] is [tex]-6[/tex] .

The given question is incomplete , the complete question is

What are the coefficients of the equation 3x -6y = - 13 ?

Learn more about Coefficients here

https://brainly.com/question/17436857

#SPJ4

(m² - 7m - 11) ÷ (m-8)


By diving polynomials

Answers

Answer: m+1+(-3/m-8)

Explanation: First, we need to rewrite the division problem in the form dividend ÷ divisor, We want to divide a polynomial by a binomial, so we should first identify the value of the coefficient in the binomial. As we can see, equals . Let’s write it to the left of a vertical bar.

Using a number line, find both the intersection and the union of the following
intervals:
(-3,∞) and (4,∞)

Answers

Answer:

The intersection of the two intervals = 4, 5, 6,.......∞ = (4, ∞)

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞ = (-3, ∞)

Step-by-step explanation:

The given intervals are;

First interval  = (-3, ∞)

Second interval  = (4, ∞)

Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,∞

The second interval includes 4, 5,.....,∞

Which gives the intersection as 4, 5, 6,.......∞

The union is the interval that combines the two sets of intervals which is given as follows;

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,∞

Q4 ABC is an isosceles triangle with AB=AC and AD is one of its altitudes. i) State the three pairs of equal pairs in ADB and ADC.
ii) Is ADB = ADC? Why or why not?
iii) Is B=C? Why or why not?
iv) Is BD=CD? Why or why not? ​

Answers

Answer:

d

Step-by-step explanation:

Find the geometric mean of 14 and 20. Answer in simplest form

Answers

The Geometric Mean (GM) is the average value or mean that, in mathematics, represents the centre tendency of a group of numbers by calculating the product of their values.

What is geometric mean?

The Geometric Mean (GM) in mathematics is the average value or mean that represents the centre tendency of the group of numbers by calculating the product of their values. Basically, n is the entire amount of data values, and we multiply the numbers collectively before taking their nth root.

The geometric mean can be calculated in two steps: To obtain their product, multiply all values collectively. Calculate the product's nth root (n is the number of values).

The geometric mean of 14 and 20 must be determined. Let's see the numbers:

a = 14 and b = 20

For two numbers, the geometric mean is calculated as follows:

[tex]$M=\sqrt{a b}$[/tex]

Filling in the values as shown in the formula above:

[tex]$M=\sqrt{14 \times 20}$$M=\sqrt{7 \times 2 \times 5 \times 4}$$M=16.73$[/tex]

Therefore, the answer is 16.73.

To learn more about geometric mean refer to:

https://brainly.com/question/2292573

#SPJ1

The required geometric mean of 14 and 20 is 16.73.

What is geometric mean?

The Geometric Mean (GM) in mathematics is the average value or mean that represents the centre tendency of the group of numbers by calculating the product of their values. Basically, n is the entire amount of data values, and we multiply the numbers collectively before taking their nth root.

The geometric mean can be calculated in two steps: To obtain their product, multiply all values collectively. Calculate the product's nth root (n is the number of values).

The geometric mean of 14 and 20 must be determined. Let's see the numbers:

a = 14 and b = 20

For two numbers, the geometric mean is calculated as follows:

G.M = [tex]\sqrt{ab}[/tex]

Filling in the values as shown in the formula above:

G.M = [tex]\sqrt{14(20)}[/tex]

G.M = [tex]\sqrt{280}[/tex]

Therefore, the answer is 16.73.

To learn more about geometric mean refer to:

brainly.com/question/2292573

#SPJ1

AOC and BOD are diameter of a circle, centre O, prove that ABD and DCA are congruent by RHS

Answers

It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.

RHS congruency criteria:

Triangles must have equal corresponding sides and equal corresponding angles in order to be congruent.

According to the RHS congruence theorem, two right-angled triangles are congruent if their respective hypotenuses and sides are the same as those of another right-angled triangle.

Here we have

AOC and BOD are diameters of a circle and have a center O.

It is given that AOC and BOD are diameters of a circle.

From the triangles Δ AOC and ΔBOD

⇒ BD = CA  [ Diameters of the circle i.e Hypotenuse of triangles ]    

⇒ ∠BAD = ∠CDA [ Right angles in a semicircle is 90°]

⇒ AD = AD [ Common in both triangles i.e sides of triangles ]

Thus, Using RHS congruence criteria

⇒ ΔABD ≅ ΔDCA

Hence,

It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.

Learn more about RHS congruency criteria at

https://brainly.com/question/30105713

#SPJ4

What is inverse property in math?

Answers

Answer:

The inverse property definition states when added together with its additive inverse, the sum of the two numbers will be zero. When a number is multiplied by its multiplicative inverse, the product will be one

Step-by-step explanation:

Gary, Mary, and Rory have the same number of candies. If Gary gives Mary half of all his candies, then Mary gives Rory half of all the candies she has at the moment, and then Rory gives Gary half of all the candies he (Rory) has at the moment, Gary would have 12 more candies than he had originally. How many candies do Gary, Mary, and Rory have altogether

Answers

Gary, Mary, and Rory have 96 candies altogether.

Let's assume that the original number of candies that Gary, Mary, and Rory had is "x".

After Gary gives Mary half of all his candies, he would have x/2 candies.

Then, after Mary gives Rory half of all the candies she has at the moment, she would have x/4 candies.

And then, after Rory gives Gary half of all the candies he (Rory) has at the moment, he would have x/8 candies.

Now, we know that Gary would have 12 more candies than he had originally, which means:

x/2 + x/8 = x/2 + x/4 - 12

We can combine like terms and simplify the equation:

x/2 + x/8 = x/4 + x/4 - 12

x/8 = 12

x = 8 * 12

x = 96

Thus, Gary, Mary, and Rory have 96 candies altogether.

To learn more about equations,

Visit; brainly.com/question/29657983

#SPJ4

Peter i making 30 undae with mint,chocolate,and vanilla icecream. 3/5 of the undae are mint icecream and 1/2 of the remaining undae are chocolate. The ret will be vanilla. How many undae will be vanilla?
Ty for helping me :)
-Credit to Zearn

Answers

The amount of vanilla in the ice cream is 1/5 in the sundae that is being mad by Peter.

Peter make sundae by using mint chocolate and vanilla ice cream.

It is given to us that, the mint ice cream is 3/5 and chocolate is 1/2 of the remaining.

So, first we calculate the amount of chocolate,

Let us say that, we take the sundae as 1,

so, algebraically, the mint is,

X - 3/5 = 1

X = 2/5

Now, half of the 2/5 is,

Half of 2/5 = 2/5x1/2

Half of 2/5 = 2/10

Half of 2/5 = 1/5

So, the remaining portion after filling chocolate is 1/5

So, the vanilla ice cream will be 1/5.

To know more about Algebra, visit,

https://brainly.com/question/4344214

#SPJ4

Can someone please help me with this? and also help me understand how to do it I have a test this Friday.

Answers

Answer:

Refer to the image attached. If you have ANY questions about what I did/how I did it, please ask in the comments. I will be happy to help you understand! :)

Step-by-step explanation:

If a_1=7a

1



=7 and a_n=a_{n-1}+5a

n



=a

n−1



+5 then find the value of a_5a

5


Answers

The final value of a_5 is 27a.
The equation a_n=a_{n-1}+5a is a recursive formula that gives the value of a_n in terms of the value of a_{n-1}. To find the value of a_5, we need to apply this formula repeatedly, starting with the given initial value of a_1=7a.

Using the recursive formula:

a_2 = a_1 + 5a = 7a + 5a = 12a

a_3 = a_2 + 5a = 12a + 5a = 17a

a_4 = a_3 + 5a = 17a + 5a = 22a

a_5 = a_4 + 5a = 22a + 5a = 27a

so a_5 = 27a

This is the final result and no need to calculate more.

Thus the final value of a_5 is 27a.

To learn more about recursive formula,

Visit; brainly.com/question/8972906

#SPJ4

Water in a swimming pool is treated with two chemicals mixed in the ratio of 5: 4. The total volume of the chemicals is 48 litres. How much of each chemical is used?

Answers

There is 5:4 water to chemicals and the volume is 48 liters of chemicals

find the length of side xx in simplest radical form with a rational denominator.

Answers

For given right triangle, the length of hypotenuse x = 4/√3

Here we have been given a 30° - 60°- 90° right triangle.

A side opposie to angle 60 degrees measures 2 units.

And x is the hypotenuse of right tirnagle.

To find the value of x, consider sine of angle 60 degrees.

sin(60°) = (opposite side of angle 60°) / hypotenuse

From tirgonometric table, sin(60°) = √3 / 2

So, above equation becomes,

√3/ 2 = 2/x

x = 2 × (2/√3)

x = 4/√3

We can see that the value of x is in in simplest radical form with a rational denominator.

Therefore, x = 4/√3

Learn more about the right triangle here:

https://brainly.com/question/3770177

#SPJ4

Help please I don't really understand

Answers

Answer:i need to know what youre trying to find first

Step-by-step explanation:

A radioactive compound with mass 320 grams decays at a rate of 27% per hour. Which equation represents how many grams of the compound will remain after 7 hours?

Answers

Answer:

320 grams ÷ 27% = 8.3 grams

Step-by-step explanation:

mark brainliest plss

You roll a 6-sided die.

What is P(even)?

Write your answer as a percentage rounded to the nearest tenth.

%

Answers

P(even) is  50%

It is simple to calculate the likelihood of one die roll.

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability.

First, keep in mind that a prime number is an integer that has exactly two factors: 1 and the number itself (which is why 1 does not qualify: it has only one factor). The appropriate numbers from 6 onward are 2,3,5. Your response, given that there are six sides, is: P(prime) = 3/6 = 1/2 = 50%

Know more about probability at:

https://brainly.com/question/25870256

#SPJ4

Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56. What are the odds in favor of Adam seeing a meteor in the next 10 minutes?

Answers

The odds from the probability is 14 : 11

How to determine the odds from the probability ?

The value of the probability is given as

Probability in the next 10 minutes = 0.56

This means that

p = 0.56

Represent the probability as a fraction

So, we have the following representation

p = 56/100

Simplify the fraction

p = 14/25

To convert the probability to odds, we make use of the following equation

Probability = Odds/(1 + Odds)

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

14/25 = Odds/(1 + Odds)

So, we have

(1 + Odds) * 14/25 = Odds

This gives

14/25 + Odds * 14/25 = Odds

Evaluate the like terms

11/25 * Odds = 14/25

So, we have

Odds = 14/11

Express as ration

Odds = 14 : 11

Hence, the odds is 14 : 11

Read more about odds and probability at

brainly.com/question/9760260

#SPJ1

Simplify.
8-3(4-2x)
i’ll mark brainliest :)

Answers

8-12+6x
6x-4
answer is number 1

Answer:

A. 6x - 4

Step-by-step explanation:

[tex]\sf 8-3(4-2x)[/tex]

Distribute:-

[tex]\sf 8+(-3)(4)+(-3)(-2x)[/tex]

[tex]\sf 8+-12+6x[/tex]

Combine Like Terms:-

[tex]\sf (6x)+(8+-12)[/tex]

[tex]\sf 6x+-4[/tex]

** + * - = -**

[tex]\sf 6x-4[/tex]

Therefore, option A. 6x - 4 is your answer!

_____________________

Hope this helps!

Have a great day!

Other Questions
cheesepepper powderlettucehamsalttomatocan you guys tell me if all of this ingredients is colloid,suspension or solution? A nurse is providing teaching to a client who has esophageal cancer and is to undergo radiation therapy. Which of the following statements should nurse identify as an indication that the client understands the teaching? The area found __________ the market price and _____________ the demand curve is best known as consumer surplus. Find the centre focus,vertex,directrix and axis of each parabola and sketch the graph? (x-1) = y+2 Evaluate the integral by reversing the order of integration.20611ex2 dx dy3y the common ancestor of all later catarrhines, old world monkeys, and hominins was likely ____ A 64 g plastic ball is moving to the left at 24 m/s . How much work must be done on the ball to cause it to move to the right at 24 m/s How many gram i hydrogen ga (H2) are in 2600 ml comtainer at 35 degree celiu and a preure of 165 mmHg Choose the best way to complete the description using sensory details. The sun ______ as I continued climbing up the rocky mountain.A. Was beginning to go downB. Beat down to warm my face (This is the correct answer)C. Was high in the skyD. Shown from behind the peak The table shows pairs of values for the linear function f(x) = 3xf(x)-214710X01234Which conjecture about linear functions in general is best supported by thetable?Equal changes in the value of xresult in equal changes in the valueof y.B. The difference between the x- ary-values in each ordered pair (x,is a constant. Assuming that birthdays are distributed equally throughout the week, what is the probability that two people that have never met passing each other on the street were both born on a Friday is1/7 2/7 1/49 2/49 4/49 2 1/7 - 1 2/5 give your awenser as a mixed number pls help me on this question what is tertiary production? Richard has 11 markers in a backpack. One of them is red and one is purple. What is the probability Richarewill reach into the backpack without looking and grab the red marker and then reach in a second time andgrab the purple marker if:(a) the first marker is not replaced?(b) the first marker is replaced?Express your answers as fractions in simplest form. Explain the difference between co-signing, a joint account, and an authorized user. Activity: Growing Your Mind. As you watch the video, answer the following questions. Video. 1: Growing Your Mind. 1. Can a person's intelligence change, or is it someting a person is born with? 2. How can you "rewire" your brain? 3. How are our brains like muscles? 4. What does the diagram of the nerves of the animal living in a cage vs. the animal living with other animals and toys show us? 5. When do our brains grow the most? Which graph represents a linear function? (4 points) Question 3 options: 1) A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5 2) A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6. 3) A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides 4) A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves. Choose an event from the play. Focus on the purpose it serves in the story. Consider how the story would change if that event was altered. Form your ideas into a paragraph of at least five sentences. Make sure to include supporting evidence from the play. Some events to consider: The weird sisters' predictions for Macbeth and Banquo Macbeth's murder of Banquo The appearance of Banquo's ghost at Macbeth's coronation dinner Your answer must cite directly from the lines of Macbeth that you read in the lesson. Is y 4 a horizontal asymptote?