Write the equation of the line that passes through the points (2, 7) and (5,-2).

Answers

Answer 1

Answer:

y = -3x + 13

Step-by-step explanation:

Assuming the line is linear, you can use the point-slope equation of a line.

(y - y) = m (x - x)

The y and x variables come from the points on the line. Points are written in the form (x, y). In the point (2,7), 2 is x and 7 is y.

1. Plug your points in.

(7 - - 2) = m (2 - 5)

2. Solve for m (the slope)

(7 + 2) = m (2 - 5)

(9) = m (-3)

9 = -3m

m = -3

3. Write an equation of the line with the slope you found.

You can write this equation in different forms, but I'll use the slope-intercept form.

y = mx + b

You'll have to find b, the y-intercept. You can plug one of your points in for x and y as well as your slope, m, and solve for b.

7 = -3(2) + b

7 = -6 + b

b = 13

Therefore, the equation is y = -3x + 13

Answer 2
The answer is y=-3x+13

Related Questions

where in the world would you expect to have a relative humidity of close to 100%? what about close to 0%?

Answers

100% humidity is very common in many coastal zones, near rivers or   lakes or in your bathroom when you take a shower, and possibly in  Alaska as well as UAE.

Relative humidity:

                             Relative humidity is the ratio of the current absolute humidity to the highest possible absolute humidity (which depends on the current air temperature). A reading of 100 % relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain. This doesn't mean that the relative humidity must be 100 percent in order for it to rain — it must be 100 percent where the clouds are forming, but the relative humidity near the ground could be much less.

0% humidity means there is an absence of water vapor in the air.

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help please on this !!!!

help please on this !!!!

Answers

the first one should be -.5 or -1/2 and the second one is two i think

Glven:
f(x) = -7x + 10
Find: f(-4) + 1

Answers

Answer:

f(-4) + 1 = 39

Step-by-step explanation:

Given f(x) = -7x + 10

f(-4) + 1 = (-7(-4) + 10) + 1 = (28 + 10) + 1 = 38 + 1 = 39.

A satellite dish has a parabolic cross section and is 10 feet deep. The focus is 4 feet from the vertex. Find the width of the satellite dish at the opening. Round your answer to the nearest foot

Answers

The width of the satellite dish at the opening is 23 feet.

To find the width of the satellite dish at the opening, we need to use the formula for the cross section of a parabola, which is y^2 = 4px, where p is the distance from the vertex to the focus. In this case, p = 4 and y = 5 (half the depth of the dish). We can solve for x by plugging in these values and solving for y:

25 = 4(4)x

x = 25/16

Since we need to find the width at the opening, we need to double this value to account for both sides of the dish:

2x = 25/8

To round to the nearest foot, we need to find the nearest whole number. Since 25/8 is between 3 and 4, we round up to 4, giving us a width of 23 feet.

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There are four activities on the critical path, and the standard deviations for their durations are 5, 12, 34, and 16 days. The standard deviation of the duration of the critical path is:
a. 67
b. 16.75
c. 8.185
d. 1581
e. 39.76

Answers

The standard deviation of the duration of the critical path is (e) 39.76.

To calculate the standard deviation of the duration of the critical path, we need to consider the activities on the critical path and their corresponding standard deviations.

The standard deviation of the critical path can be found using the following formula:

Standard deviation of the critical path = Square root of the sum of the variances of the activities on the critical path

Given the standard deviations of the activities on the critical path are 5, 12, 34, and 16 days, we can calculate the variances as the square of the standard deviations:

Variance of activity 1 = 5² = 25

Variance of activity 2 = 12² = 144

Variance of activity 3 = 34² = 1156

Variance of activity 4 = 16² = 256

Now we can find the sum of the variances:

Sum of variances = 25 + 144 + 1156 + 256 = 1581

Finally, we take the square root of the sum of variances to get the standard deviation of the critical path:

Standard deviation of the critical path = √1581 ≈ 39.76

Therefore, the correct answer is e) 39.76.

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Write an equation of the line that passes through the given points.

(0,0), (2,6)

Answers

Answer:

y=3x

Explanation: Since the line passes through (0,0), the y-intercept is 0. The rate of change is 3, which can be onserved if you you plot these points on a corrdinate graph. Therefore, the equation is y=3x.

Louisa states that the solution to the equation One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 is x = 56. She verifies her solution using the steps below. Equation: One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 Step 1: One-fourth (56) minus 3 = StartFraction 3 Over 8 EndFraction (56) + 4 Step 2: 14 minus 3 = 21 + 4 Step 3: 11 = 25 Which statement most accurately describes Louisa's error? Louisa made an error when determining the original solution of x = 56. Louisa made an error when substituting the solution in for x. Louisa made an error when multiplying 56 by One-fourth and by StartFraction 3 Over 8 EndFraction. Louisa made an error when adding or subtracting.

Answers

Given:

The equation is

\(\dfrac{1}{4}x-3=\dfrac{3}{8}x+4\)

To find:

The Louisa's mistake.

Solution:

We have,

\(\dfrac{1}{4}x-3=\dfrac{3}{8}x+4\)

\(\dfrac{x-12}{4}=\dfrac{3x+32}{8}\)

Multiply both sides by 8.

\(2(x-12)=3x+32\)

\(2x-24=3x+32\)

\(-24-32=3x-2x\)

\(-56=x\)

\(x=-56\)

Louisa made an error when determining the original solution of x = 56.

Therefore, the correct option is A.

Answer:

Louisa made an error when determining the original solution of x = 56.

Step-by-step explanation:

The screenshot if proof

Louisa states that the solution to the equation One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction

Hi could can you please tell me the answer and tell me how you got it so I can understand this? Both 6 A and B

Hi could can you please tell me the answer and tell me how you got it so I can understand this? Both

Answers

Answer:

you would do 16000 - 13920 and get 12080 and then dive 12080 by 16000 giving you .755 that would be how much is full and then subtract 1 and .755 to get B

PLEASE HELP .. IT NEEDS TOO BE DONE IM STRUGGLING

PLEASE HELP .. IT NEEDS TOO BE DONE IM STRUGGLING

Answers

Answer:

9+2c

Step-by-step explanation:

Which of the following will you construct in this lesson?
parallelogram
hexagon
pentagon
octagon
rectangle

Answers

Answer:

parallelogram

hexagon  

octagon

rectangle

Step-by-step explanation:

Answer:

parallelogram

hexagon  

octagon

rectangle

helps, my brain cannot process

helps, my brain cannot process

Answers

Answer:

12

Step-by-step explanation:

Either 11 if you round down but 12 if you round up

Pls help!!
Geometry
(Look at photo)

Pls help!!Geometry (Look at photo)

Answers

The value of x is determined as 1.

What is the value of x?

The value of x is calculated by applying the principle of similar triangles.

length SR ≅ length ST

length TU ≅ length RU

We will have the following equation, to solve for the value of x;

TU/SU = RU/SU

TU = RU

x + 9 = 10x

9 = 10x - x

9 = 9x

9/9 = xy

1 = x

Thus, the value of x is calculated by applying the principle of similar triangle.

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A phone company charges a monthly rate of $60 and $0.10 per text sent . Tara sends 100 text messages this month . How much is her phone bill b, going to cost ?

Answers

Answer:

Taras phone bill will be 70 doll hairs.

Step-by-step explanation:

100x.10=10

10+60

70

hope this helps!!!

Answer:

70 dollars

Step-by-step explanation:

0.10 times 100 is 10 dollars. 60 plus 10 equals 70 dollars a

1. 4x+2y= 6
A.what is the slope-intercept form?

B.What is the slope?

C.What is the y intercept?

Answers

Answer:

The slope is -2 and the y intercept is 3

Step-by-step explanation:

4x+2y= 6

Solve for y

Subtract 4x from each side

4x-4x+2y= -4x+6

2y = -4x+6

Divide by 2

2y/2 = -4x/2 +6/2

y = -2x+3

This is in slope intercept form  y = mx+b  where m is the slope and b is the y intercept

The slope is -2 and the y intercept is 3

Which of the following sets of numbers could represent the three sides of a triangle? {6,8,14} {13,20,34} {11,14,22} {13,20,35}

Answers

The set of numbers {6, 8, 14} and the set {11, 14, 22} could represent the three sides of a triangle.

To determine whether a set of numbers could represent the sides of a triangle, we need to check if it satisfies the triangle inequality theorem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let's evaluate each set of numbers:

1. {6, 8, 14}

  The sum of the two smaller sides is 6 + 8 = 14, which is greater than the third side 14. Therefore, this set could represent the sides of a triangle.

2. {13, 20, 34}

  The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 34. Hence, this set cannot represent the sides of a triangle.

3. {11, 14, 22}

  The sum of the two smaller sides is 11 + 14 = 25, which is greater than the third side 22. Therefore, this set could represent the sides of a triangle.

4. {13, 20, 35}

  The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 35. Hence, this set cannot represent the sides of a triangle.

In summary, the sets {6, 8, 14} and {11, 14, 22} could represent the three sides of a triangle.

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Assume that a real estate investor that rents for $2,000 per month. Which payment plan would the nvestor prefer for the current 12-month lease? payment of $2,000 at the first of each month upfront payment of $24,000 payment of $2,000 at the end of each month payment upfront of $12,000 and $12,000 half-way through the lease

Answers

To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

8+(-3) what is the answer

Answers

Answer:

5

Step-by-step explanation:

Add. 8 plus a negative three would be subtracting 8-3.

Hope this helped and have a great day!

Answer:

5

Step-by-step explanation:

8 + (-3)

8 - 3

5

Best of Luck!

An 18 foot ladder is leaning against a building. The base of the ladder is 6 feet from the base of the
building. What angle does the ladder make with the ground?

Answers

Answer:

right trianlge i think

Step-by-step explanation:

an explanation of an event that is based on repeated observations and experiments is a

Answers

An explanation of an event that is based on repeated observations and experiments is a scientific theory

A thorough, well-researched explanation of a natural occurrence constitutes a scientific theory.

We frequently use the word "theory" to refer to a hypothesis or informed guess in common speech, but in science, a theory is an explanation that is the result of a substantial and repeated investigation. The purpose of theories is to explain a broad concept; they are not intended to establish facts

Some of the most well-known and complicated events are explained by scientific theories. The theories of relativity, evolution, and gravity are a handful of the most well-known scientific concepts.

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Maci spends $750 each month or groceries, How much does she spend altogether in 1 year (12 months)?​

Answers

To find out how much Maci spends on groceries in a year, we can simply multiply her monthly grocery bill by the number of months in a year:

$750/month x 12 months/year = $9,000/year

So Maci spends $9,000 on groceries in a year.

Hope this helps you out! good luck

Given the parent function f(x) = 2x, which graph shows f(x) − 1? Group of answer choices exponential function going through point 0, 2 and ending up on the right exponential function going through point 0, 0 and ending down on the right exponential function going through point 0, 0 and ending up on the right exponential function going through point 0, 1.5 and ending up on the right

Answers

Answer:exponential function going through point 0, 0 and ending up on the right

What is the procedure for quickly stopping a car with ABS

Answers

Answer:

Press down the brake firmly and smoothly. ...

Don't brake and swerve the car at the same time. ...

Avoid using your transmission for quick stops. ...

Focus on where you want to go, not what you want to avoid.

This requires you to pump the brake, to prevent the wheels locking up. ABS is a computerised sensor system that detects when the brakes are about to lock-up, momentarily releasing the brakes, before automatically reapplying them many times a second, until the car stops

say a certain manufacturing industry has 63.1 thosand jobs in 2008,but is

Answers

The manufacturing industry is expected to experience a 27% decline in job count from 2008 to 2018.

What will be the percent change in the manufacturing industry's job count?

To calculate the percent change, we need to find the difference between the job count in 2008 and 2018, and then divide it by the job count in 2008. The formula is:

Given:

Job count in 2008 = 63.1 thousand jobs

Average annual decline = 1.7 thousand jobs per year

Number of years = 2018 - 2008 = 10

Job count in 2018 = Job count in 2008 - (Average annual decline * Number of years)

= 63.1 - (1.7 * 10)

= 63.1 - 17

= 46.1 thousand jobs

Percent Change = ((Job count in 2018 - Job count in 2008) / Job count in 2008) * 100

= ((46.1 - 63.1) / 63.1) * 100

= (-17 / 63.1) * 100

= -0.27 * 100

= -27%.

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Complete the statement about the model.
The model shows that there are 8 groups of
in 3.

Answers

According to the diagram, there are eight fractions of 3/8 in three.

What is a fraction?A fraction is a ratio of two numbers where the numerator and denominator are both integers that can be negative or positive. The numerator can't be zero. Proper fractions and improper fractions are the two types of fractions.A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction's  numerator will be less than the denominator.

We are shown a diagram of three equal parts divided into eight equal parts.

Divide 3 by 8 to get the value of the equal part.

As a result, the value of each can be given as 3/8.

Therefore There are 8 groups of 3/8 in 3 as per the given diagram.

The diagram is attached below:

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Complete the statement about the model.The model shows that there are 8 groups ofin 3.

1.Suppose a chef ices and decorates cupcakes in batches of 100. Each batch requires 40 minutes to setup the equipment, and each cupcake in the batch takes 1.25 minutes to process. Each unit in the batch must wait for the entire batch to be processed before moving on to packaging. What is the throughput capacity (in cupcakes and/or minutes) of the icing stage? Pick the closest answer.

.6

.8

1

1.25

1.65

2

2. Refer to the previous question. What is the throughput time for a batch of cookies, in minutes? Pick the closest answer.

1.25

2.5

40

125

140

Answers

The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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six times the sum of nine and a number

Answers

Answer:

Brainliest plz

Step-by-step explanation:

let use x as 'a number'

6 \(*\) (9+x)

or

6 * (x+9)

Six times the sum of nine and the number x is 54+6x.

Suppose the number is x.

So, the sum of nine and x =9+x

What is a number?

A number is a mathematical object used to count, measure, and label.

Six times the sum of nine and a number means multiplication of 6 and the number 9+x.

Six times the sum of nine and the number x=6(9+x)

Six times the sum of nine and  the number x =54+6x

Hence, Six times the sum of nine and the number x is 54+6x.

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Organizational culture is set by a. the manager b. the ethics committee c. the engineer d. none of the given options

Answers

Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.

In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.

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determine whether each function is linear, exponential, or neither. if the function is linear or exponential, write an equation for the function. if it is neither, you don’t have to find the equation.

Answers

To determine whether a function is linear, exponential, or neither, we need to analyze its equation or its pattern of change.

A linear function has a constant rate of change, meaning the change in the output is proportional to the change in the input. It can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.
An exponential function, on the other hand, has a constant ratio of change, meaning the change in the output is proportional to the output itself. It can be represented by the equation y = ab^x, where a is the initial value and b is the base.
If the function does not exhibit a constant rate or ratio of change, then it is neither linear nor exponential.
To determine the type of function and find its equation, we need to analyze the given information or pattern. Please provide the specific function or pattern, and I will be happy to help you further.

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HELP PLS
∠2 and ∠4 are ? angles. adjacent, supplementary, complementary, vertical

HELP PLS2 and 4 are ? angles. adjacent, supplementary, complementary, vertical

Answers

Answer:

They are vertical angles

Step-by-step explanation:

they are across from each other/opposites of each other

vertical angles: each of the pairs of opposite angles made by two intersecting lines.

A spinner is divided into four equal areas and colored red, green, yellow, and blue.
Which statement is most likely to be true?
a.) The probability of the spinner landing on the green region is close to 0.25 when the number of trials is less than 250.
b.) The probability of the spinner landing on the green region is close to 0.25 when the number of trials is more than 250.
c.) The probability of the spinner landing on the green region is close to 0.25 when the number of trials is less than 25.
d.) The probability of the spinner landing on the green region is equal to 0.25 when the number of trials is less than 25.

Answers

The probability of the spinner landing on the green region is close to 0.25 when the number of trials is less than 250.

Hence, statement (a) is correct.

Use the concept of probability defined as:

Probability is the ratio of the number of favourable outcomes to the total number of outcomes for the occurrence of an event. it deals with finding out the likelihood of the occurrence of an event.

Le 'f' represents the number of favourable outcomes and 't' denotes the total number of outcomes then, the probability of an event is defined as f/t.

a.) "The probability of the spinner landing on the green region is close to 0.25 when the number of trials is less than 250."

Since the spinner is divided into four equal areas,

And each area has the same chance of being landed on,

The probability of landing on the green region would be close to 0.25.

Hence,

Statement (a) is correct.

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Other Questions
In the scenario below, the argument used by the shoe company is an example of which type of fallacy?A company that manufactures athletic shoes highlights how a famous tennis player wore their brand of tennis shoes when she won a gold medal at the Olympics. They argue that aspiring tennis players should wear their shoes because they're the best option for winning tennis tournaments.slippery slopehasty generalizationappeal to irrelevant authorityappeal to ignorance(70 points) how do you solve the y-intercept? And did I solve slope correctly? An English instructor asserted that students test grades are directly proportional to the amount of time spent studying. Lisa studies 4 hours for a particular test and gets a score of 79. At this rate how many hours would she have had to study to get a score of 93? 5+(x-11)=5x+14help please nearly opposite in meaning of 'eventually'?a) gradualb) soonerc) successfully Arnold buys a backhoe from Big Dig Equipment Inc. Arnold is unaware that Credit Collection Company holds a lien against the backhoe when he buys it. If Credit Collection repossesses the backhoe, Arnold can Find a debatable issue, an issue that has clear pros and cons. Choose a stance and create a well-developed, nuanced Argumentative Essay to convince or persuade your audience. Essay requirements:Students cannot choose topics from the Kean "No List"Thesis statement must be debatableIf everyone agrees with you, it is not appropriate for this assignmentThird personNo use of I, me, we, you, etc.Minimum six separate sourcesCiting the same source six times does not count1500-2500 wordsHeading, title, and Works Cited section do not count towards the word countProper paraphrasing and quotingIn-text citations when neededWorks Cited section High scoring essays include:Sufficiently narrow thesis statementQualified statementsSome, most, likely, possibly, etc.Fair approach to argumentationOpposing viewpoints are represented wellCounterarguments with Refutations or ConcessionsRefutations and Concessions are supported by evidence Quality sourcesMLA FormattingAll essays will be submitted through the TurnItIn application. This application automatically detects plagiarism and reports it to both the student and the instructor in the form of a similarity score. Students who are found to have plagiarized may be asked to rewrite the entire essay with a new topic. Plagiarism at any stage of the writing process is a serious offense and will not be tolerated. Repeated offenses may cause a student to fail the course per university guidelines. Consider a binomial probability distribution with p=0.35 and n = 7. What is the probability of the following?a) exactly three successesb)less than three successesfive or more successesc) Can someone tell me how to solve this? Thank you Assume that Betty earns $5 per hour working in a clothing store. She gets one and one-half times her wage if she works over 40 hours. In addition, she can earn a 25% commission on the sale of clothes sold during her time at work. How much can Betty earn this week if she works 52 hours and sells $4400 worth of clothing budgets that are revised by adding a new quarterly budget to replace the quarter that just elapsed are called: Anyone? need help ASAP will mark as brainlist please help this is due today Please help with this Imagine yourself living in colonial America and reading Paines opening line: These are the times that try mens souls. Write how you would have reacted A 42.57 gram sample of copper is heated in the presence of excess oxygen. A metal oxide is formed with a mass of 47.92 g. Determine the empirical formula of the metal oxide. solve 1/3 + 7/9options: 10/278/910/99/3 A chemist needs 16.61 mL of 1.312 M NaOH. What volume in mL of 3.6 M NaOH must be diluted in water to form this solution?Please report your answer in mL to 3 decimal places. change the sentence to passive voice 1.Harry ate six shrimps at dinner.2.Beautiful giraffes roam the Savannah.3.Sue changed the flat tires.4.We are going to watch a movie tonight.5.I ran the obstacle course in record time. 100 PTS BRAINLIEST why did the poet write this poem The poetry of earth is never dead: When all the birds are faint with the hot sun, And hide in cooling trees, a voice will runFrom hedge to hedge about the new-mown mead;That is the Grasshopper'she takes the lead In summer luxury,he has never done With his delights; for when tired out with funHe rests at ease beneath some pleasant weed.The poetry of earth is ceasing never: On a lone winter evening, when the frost Has wrought a silence, from the stove there shrillsThe Cricket's song, in warmth increasing ever, And seems to one in drowsiness half lost, The Grasshopper's among some grassy hills.