Logan purchased a used pickup truck. According to an online website, Logan’s truck should average 20 miles per gallon. In the town where Logan lives, the average price of gasoline during the last month was $2.00 per gallon. If he were to drive for 320 miles, how much would it cost him in dollars?

Logan Purchased A Used Pickup Truck. According To An Online Website, Logans Truck Should Average 20 Miles

Answers

Answer 1

Given:

Truck average=20 miles per gallon.

Required:

Cost in dollars

Explanation:

First of all we are going to divide 320 miles with 20 miles to calculate the average per gallon.

\(\begin{gathered} \frac{320}{20} \\ \\ =16\text{ miles} \end{gathered}\)

Logan's truck average =16 miles.

Now to calculate the price of gasoline in dollars

we have to multiply our calculates miles with the price of gasoline in dollars

which is equal to=

\(16\times2.00=32dollars.\)

Required answer:

16 miles , 32 dollars


Related Questions

A normal distribution has a mean of 85.8 and a standard deviation of 4.83. Find the data value corresponding to the value of z given. (Enter your answer to four decimal places.)

Answers

Answer:

The data value corresponding to z = 1.96 in a normal distribution with mean 85.8 and standard deviation 4.83 is approximately 94.2238 (rounded to four decimal places).

Step-by-step explanation:

To find the data value corresponding to a given value of z, we use the formula:

z = (x - μ) / σ

where z is the standardized value (in standard deviation units), x is the data value we want to find, μ is the mean, and σ is the standard deviation.

Rearranging this formula to solve for x, we get:

x = z * σ + μ

Substituting the given values, we have:

x = z * 4.83 + 85.8

Let's say we want to find the data value corresponding to z = 1.96 (which corresponds to the 97.5th percentile in a standard normal distribution). Then we can plug this value into the formula:

x = 1.96 * 4.83 + 85.8

Simplifying the right-hand side, we get:

x = 94.2238

Therefore, the data value corresponding to z = 1.96 in a normal distribution with mean 85.8 and standard deviation 4.83 is approximately 94.2238 (rounded to four decimal places).

Write down the corresponding side and angles from given congruent triangles.

Write down the corresponding side and angles from given congruent triangles.

Answers

Answer:

Hope the pictures will help you...........

Write down the corresponding side and angles from given congruent triangles.
Write down the corresponding side and angles from given congruent triangles.

10m + n2/4 when m= 5 and n=4

Answers

Answer:

52

Step-by-step explanation:

10(5) + (4×2)/4

50+ 8/4

50+ 2

52

Does exercises improve reaction time? Francie & Sebastian used an online game to measure the reaction time of 15 randomly selected students from their school before and after each student had run two laps on a track.What is the response variable?

Answers

To analyse the influence of exercise on reaction time, the researchers equation might have utilised the average change in reaction time for the group as a whole or looked at individual changes in reaction time.

What does exercise do?

In several trials, regular exercise has been proven to enhance reaction time. It is feasible that running two laps around a track will improve reaction time for the students in this study.

In this study, the response variable is the reaction time of 15 randomly selected students before and after running two laps on a track. The researchers measured reaction time using an online game, which was most likely a timed task that required participants to respond fast to a stimuli. To analyse the influence of exercise on reaction time, the researchers might have utilised the average change in reaction time for the group as a whole or looked at individual changes in reaction time.

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Find all solutions
for cotx=-1​

Answers

Answer:

\(\cot(x) = -1\) whenever \(\displaystyle x = k\, \pi-\frac{\pi}{4}\) radians, where \(k\) could be any integer (\(k \in \mathbb{Z}\), which includes positive whole numbers, negative whole numbers, and zero.)

Step-by-step explanation:

\(x = 45^\circ\) (as in isoscele right triangles) would ensure that \(\displaystyle \cot(x) = 1\). Since cotangent is an odd function, \(\cot(-45^\circ) = -1\).

Equivalently, when the angles are expressed in radians, \(\cot(-\pi / 4) = -1\).

The cycle of cotangent is \(\pi\) (or equivalently, \(180^\circ\).) Therefore, if \(k\) represents an integer, adding \(k\, \pi\) to the input to cotangent would not change the output. In other words:

\(\displaystyle \cot\left(k\, \pi - \frac{\pi}{4}\right) = \cot(-\pi / 4) = -1\).

Hence, \(\displaystyle x = k\, \pi-\frac{\pi}{4}\) would be a solution to \(\cot(x) = -1\) whenever \(k\) is an integer.

Since \((-\pi / 4)\) is the only solution to this equation in the period \((0,\, \pi)\), all real solutions to this equation would be in the form \(\displaystyle x = k\, \pi-\frac{\pi}{4}\) (where \(k\) is an integer.)

PLEASE HURRY AND ANSWER!!!!​

PLEASE HURRY AND ANSWER!!!!

Answers

The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.

How to calculate the probability of the chosen event?

To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:

Probability = possible outcome/ sample space

Where possible outcome = 2

sample space = A,B,B,B,C,C,D,D,D,E = 10

Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.

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helpppp...........................

helpppp...........................

Answers

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Rowan bought a large bag of jellybeans. She divided the jellybeans into 9 smaller bags that each contained 6 ounces. Write a division EQUATION (not answer) that could be used to find the amount of jellybeans, b, in ounces, that were in the original bag that Rowan bought.

Answers

The division equation that could be used to find the amount of jellybeans, b, in ounces, that were in the original bag that Rowan bought is given as follows:

6 = b/9.

How to obtain the division equation?

The division equation is obtained applying the proportions in the context of this problem.

The number of ounces per bean is given by the division of the total amount of jellybeans and the number of bags.

The parameters for this problem are given as follows:

6 ounces per bag.9 bags.

Hence the division equation is given as follows:

6 = b/9.

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Determine the value of f(4) given the function shown. *
f(x) = x² + 3
A. 19
B. -1
C. -5
D. -13

Answers

The value of function f (4) is,

⇒ f (4) = 19

We have to given that;

The function is,

⇒ f (x) = x² + 3

Now, WE can find the value of f (4) by substitute x = 4 in above function as,

⇒ f (x) = x² + 3

Plug x = 4;

⇒ f (4) = 4² + 3

⇒ f (4) = 16 + 3

⇒ f (4) = 19

Thus, The value of function f (4) is,

⇒ f (4) = 19

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Compare -4 ____ -12 9 ___ -35

Answers

Answer:

-4>-12

9>-35

Step-by-step explanation:

Answer: -4 >-12    9>-35

Step-by-step explanation:

if you run at an average speed of 10 mi/h, how long will it take you to run 2.5 miles?

Answers

Answer:

10 minutes

Step-by-step explanation:

10 divided by 2.5

help with these questions immediately

help with these questions immediately
help with these questions immediately

Answers

Problem 1

Answer: Choice C)  1/2

--------------------

Explanation:

Let's plug 8 into f(x)

\(f(x) = \frac{x+3}{x^2-4x-21}\\\\f(8) = \frac{8+3}{8^2-4(8)-21}\\\\f(8) = \frac{8+3}{64-32-21}\\\\f(8) = \frac{11}{11}\\\\f(8) = 1\\\\\)

Repeat for g(x)

\(g(x) = \log_{4}(x)\\\\g(8) = \log_{4}(8)\\\\g(8) = \frac{\log(8)}{\log(4)}\\\\g(8) = \frac{\log(2^3)}{\log(2^2)}\\\\g(8) = \frac{3*\log(2)}{2*\log(2)}\\\\g(8) = \frac{3}{2}\\\\\)

I used the change of base formula in the third step.

Lastly, we subtract the results like so

\((g-f)(x) = g(x) - f(x)\\\\(g-f)(8) = g(8) - f(8)\\\\(g-f)(8) = \frac{3}{2} - 1\\\\(g-f)(8) = \frac{3}{2} - \frac{2}{2}\\\\(g-f)(8) = \frac{3-2}{2}\\\\(g-f)(8) = \frac{1}{2}\\\\\)

========================================================

Problem 2

Answer: Choice A)  8

--------------------

Explanation:

Through trial and error (I recommend the rational root theorem), you should find that the roots of R(x) are:  -1, 3, and 8

We'll only focus on positive x values. So we focus on the roots 3 and 8.

It turns out that the R(x) curve dips below the x axis when x is between 3 and 8. When x > 8 is when R(x) is positive and goes upward forever. This represents when the company is making money.

The company does make money when x is between 0 and 3; however, this is a short timespan compared to the other interval. So it's much more effective and realistic to say that the company makes money after 8 days.

In other words, yes the company makes money between day 0 and day 3, but from day 3 to day 8 is when the company loses money. Ultimately the company is profitable again when it's beyond day 8.

you invest $2000 in an account that pays simple interest of 2% for twenty years. what amount of money will you have in 20 years

Answers

Answer:

$2971.9

Step-by-step explanation:

2000*(1+2%)^20 = 2971.895

Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)

Answers

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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The owner of the Texans football team wants to paint their red, white, and blue logo on the side of a building at their training facility. However, the existing paint, which would comprise the background for the logo, is beginning to deteriorate. The owner is considering re-painting the building with a special weatherproof paint prior to adding the logo. If the special background paint costs $1.25 per square foot, how much money will the owner have to spend on the paint for the background

Answers

Answer:

$393.75

Step-by-step explanation:

cost of special background paint = $1.25 per square foot

Area of background = area of triangle + area of rectangle

                                  = 1/2 ( b*h)  +  L * B

                                  = 1/2 ( 5 * 6 ) + 5 * 4  = 15 + 20 = 35 yd^2

Given that  1 yd^2 = 9 ft^2

                 35 yd^2 = ( 9 * 35 ) ft^2  

Hence area of background = 315 ft^2

Cost = 315 * 1.25 = $393.75

The owner of the Texans football team wants to paint their red, white, and blue logo on the side of a
The owner of the Texans football team wants to paint their red, white, and blue logo on the side of a

For older browsers that do not support media queries, Cascading Style Sheets (CSS) provides the _____ keyword to hide style sheets from those browsers.

Answers

Answer:

24

Step-by-step explanation:

1 2 3 4

5. SOLVE THIS EQUATION BELOW

5. SOLVE THIS EQUATION BELOW

Answers

Answer:

4( p+r) = q

Step-by-step explanation:

p = q/4  - r

Add r to each side

p + r = q/4 -r+r

p+r = q/4

Multiply each side by 4

4( p+r) = q/4*4

4( p+r) = q

Explain how to determine if a number is a solution of the equation. n + 6 = 33 for n = 27

Answers

Answer:

n= 27 is the only solution to the equation

Step-by-step explanation:

n + 6 = 33

Subtract 6 from each side

n+6-6 = 33-6

n = 27

Neveah invested $80,000 in an account paying an interest rate of 5 1/8% compounded continuously. Aaliyah invested $80,000 in an account paying an interest rate of 5 3/8% compounded monthly. After 13 years, how much more money would Aaliyah have in her account than Nevaeh, to the nearest dollar ? PLEASE HELP

Answers

Answer:

$4894

Step-by-step explanation:

Answer:

4894

Step-by-step explanation:

The monthly rents (in dollars) paid by 9 people are given below.

(Note that these are already ordered from least to greatest.)
mean,median.


780,910,980,1000,1025,1045,1070,1095,1185


Suppose that one of the people moves. His rent changes from 1185 to 100

Answers

Answer:

increases by 30

Step-by-step explanation: its right

Please help me solve this, it’s the last question.

Please help me solve this, its the last question.

Answers

The value of the double integration is 7776 after solving and integration. the answer is 7776.

What is integration?

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

It is given that:

Double integration (x + y) dA

y = x²

y² = 216x

y = √216 √x

∫∫(√216 √x +  x²)

After solving:

\(\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy\)

=7776

Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.

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A pizzeria has two different types of crust, 3 types of cheese and 4 toppings. A personal pizza can only have one type of cheese and one topping. What is the probability of choosing a thin crust with parmesan cheese and pepperoni?

Answers

Answer:

1/24

Step-by-step explanation:

So let's first find the total number of ways the pizza can be made.

2 types of crust

3 types of cheese

4 toppings

So if we choose crust 1, we have 3 options for cheese. For each of these options, we have 4 options for toppings. 4 x 3 will give us the number of topping-cheese combinations available, and likewise, we can apply this to the two crusts, getting 4 x 3 x 2, or 24.

Next, we will find the probability of choosing a thin crust with parmesan cheese and pepperoni. That's 1 crust, 1 cheese, and 1 topping, giving us 1/24 as this is a single combination.

(Probability of event)/(All possible events)

1/24

Which of the following is a value of r for which (r + 2)(r − 3) = 0?

Answers

Answer:

r = -2 or r = 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

r2−r−6=0

Step 2: Factor left side of the equation.

(r+2)(r−3)=0

Step 3: Set factors equal to 0.

r + 2 = 0 or r − 3 =0

r = −2 or r = 3

Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?

Answers

First, we can calculate the total cost of the apples before the discount:

6 pounds * $1.50 per pound = $9

Then, we can subtract the discount:

$9 - $2 = $7

Since Nicole and her friend split the cost evenly, we can divide $7 by 2:

$7 / 2 = $3.50

Therefore, each of them paid $3.50 for the apples.

The expression that can be used to determine this is:

($6 * $1.50 - $2) / 2 = $3.50

where $6 is the total cost of 6 pounds of apples at $1.50 per pound and $2 is the discount

140,100,71.4, ,36.44 what is the missing number

Answers

The required missing number is 51.02

What is a geometric progression?

Any progression in which the ratio of adjacent terms is fixed is a Geometric Progression. The general form of representation of a geometric sequence is a, ar, ar2, ar3, ar4, ar5, .....

Given here the numbers 140,100,71.4, ,36.44

clearly 140/100=100/71.4=1.4

Thus the given set of numbers form a geometric progression with common ratio 1.4

Therefore the complete set of numbers are 140,100,71.4,51.02,36.44

Hence, the required numbers is 51.02

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My dad is X years old and i am Y years old. How old shall we be in 10 years time.

Answers

I'm assuming X and Y are current present day ages.

Simply add 10 to each variable to find the future ages ten years from now.

Your dad's future age = X+10

Your future age = Y+10

Since we don't know what X or Y is, we cannot combine those terms. We leave them as is.

Answer:

\(\bold{x+10,y+10}\)

Step-by-step explanation:

Hi there!

Right now, your dad's age is X years.

In 10 years, it will be x+10.

If your age is y years, in 10 years, it will be y+10.

No matter what x is, no matter what y is, it will be x+10 and y+10.

Thus, x+10 and y+10 is our final answer.

Hope it helps! Enjoy your day!

\(\bold{GazingAtTheStars}\)

An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sink hole without falling in so you use congruent triangles. You have one piece of rope that is 50 ft. long and another that is 70 ft. long. You pick a point A on one side of the sink hole and B on the other side. You tie a rope to each spot and pull the rope out diagonally back away from the sink hole so that the other ends of the two ropes meet at point C. Then you recreate the same triangle by using the distance from AC and BC and creating new segments CE and CD. The distance DE is 52.2 ft.


a. What type of triangles have you created?

b. How do you know the triangles are congruent?

c. How far across is the sink hole?

d. What is the perimeter of the triangle ABC?

An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult

Answers

A) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

How to solve congruent triangles?

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

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Answer:

Step-by-step expA) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

How to solve congruent triangles?

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

lanation:

I need help pleaseeeeeeeeeeeeeeeeeeee

I need help pleaseeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

Solve each equation.

2(−3)=14
-5(−1)=40
12(+10)=24
16(+6)=11
57(−9)=25

Answers

Answer:

jkudrhytiu4wry bui634y uiyb4uiyttui4ytui4yuityu34w ytiuyy4ty4oi8t4otiu4ioyt

Step-by-step explanation:

ryeropiutopier5uoiyturloiuy6otieruoiyluriluyrtuur6

4. Sketch the graph of F(x) = 1 +x/x²-1

Answers

The graph of the function is attached below.

What is the graph of a function?

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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4. Sketch the graph of F(x) = 1 +x/x-1
Other Questions
Read the following passage from Anne of Green Gables by Lucy Maud Montgomery. Answer the question that follows the text.Marilla told Matthew the whole story, taking pains to impress him with a due sense of the enormity of Anne's behavior."It's a good thing Rachel Lynde got a calling down; she's a meddlesome old gossip," was Matthew's consolatory rejoinder."Matthew Cuthbert, I'm astonished at you. You know that Anne's behavior was dreadful, and yet you take her part! I suppose you'll be saying next thing that she oughtn't to be punished at all!""Well nownonot exactly," said Matthew uneasily. I reckon she ought to be punished a little. But don't be too hard on her, Marilla. Recollect she hasn't ever had anyone to teach her right. You'reyou're going to give her something to eat, aren't you?""When did you ever hear of me starving people into good behavior?" demanded Marilla indignantly. "She'll have her meals regular, and I'll carry them up to her myself. But she'll stay up there until she's willing to apologize to Mrs. Lynde, and that's final, Matthew."Breakfast, dinner, and supper were very silent mealsfor Anne still remained obdurate. After each meal Marilla carried a well-filled tray to the east gable and brought it down later on not noticeably depleted. Matthew eyed its last descent with a troubled eye. Had Anne eaten anything at all?When Marilla went out that evening to bring the cows from the back pasture, Matthew, who had been hanging about the barns and watching, slipped into the house with the air of a burglar and crept upstairs. As a general thing Matthew gravitated between the kitchen and the little bedroom off the hall where he slept; once in a while he ventured uncomfortably into the parlor or sitting room when the minister came to tea. But he had never been upstairs in his own house since the spring he helped Marilla paper the spare bedroom, and that was four years ago.He tiptoed along the hall and stood for several minutes outside the door of the east gable before he summoned courage to tap on it with his fingers and then open the door to peep in.Anne was sitting on the yellow chair by the window gazing mournfully out into the garden. Very small and unhappy she looked, and Matthew's heart smote him. He softly closed the door and tiptoed over to her."Anne," he whispered, as if afraid of being overheard, "how are you making it, Anne?" Anne smiled wanly."Pretty well. I imagine a good deal, and that helps to pass the time. Of course, it's rather lonesome. But then, I may as well get used to that."Anne smiled again, bravely facing the long years of solitary imprisonment before her.Matthew recollected that he must say what he had come to say without loss of time, lest Marilla return prematurely. "Well now, Anne, don't you think you'd better do it and have it over with?" he whispered. "It'll have to be done sooner or later, you know, for Marilla's a dreadful determined womandreadful determined, Anne. Do it right off, I say, and have it over.""Do you mean apologize to Mrs. Lynde?""Yesapologizethat's the very word," said Matthew eagerly. "Just smooth it over so to speak. That's what I was trying to get at."In a minimum of one paragraph, explain what you learn about these characters from this interaction. Use details from the passage to support your response. the second derivative of the function f is given by f(x)=x2cos(x2 2x6). at what values of x in the interval (4,3) does the graph of f have a point of inflection? find the missing value Among five portable generators produced by an assembly line in one day, there are two defectives. If two generators are selected for sale, find the probability that both will be nondefective. (Assume the two selected for sale are chosen so that every possible sample of size two has the same probability of being selected.) at a sale, a sofa is being sold for of the regular price 33% the sale price is 184.80 what is the regular price? What conditions are necessary for a total lunar eclipse? a) new moon phase, three bodies in alignment, earth between sun and moon b) full moon phase, three bodies in alignment, earth between sun and moon c) new moon phase, three bodies in alignment, moon between sun and earth d) full moon phase, three bodies in alignment, moon between sun and earth the twelfth term of the arithmetic sequence whose first term is 32 and whose common difference is -4. HW #7 Monopoly 2) Compare the price, quantity, and ATC of a monopoly with a perfectly competitive firm. Who is more efficient and why? Tori passed Piaget's class inclusion problem. This indicates that Tori can ________. the molar mass of vanadium is 50.99 what is its equivalent mass when it reacts with chlorine to form vcl5 The greater the MPS, the greater the multiplier. A) true B) false describe the experimental data that is needed to calculate percent composition of an unknown compound Mrs. Butler has been teaching for 32 years and now has Robert Price Jr. in her class. Mrs. Butler remembers his father, Robert Price Sr., in her class 25 years ago. Mrs. Butler believes that Robert Jr. will be a problem student, like his father was. She thinks that unruly behavior is genetic. Mrs. Butler supports the ________ theory. factorise 14x squared-x-13 Explain how you would create an equation from a graph of a line representing a scenario. Where sodium ions may come to saturate a major part of the colloidal exchange sites, soil aggregates deteriorate and soil permeability is greatly reduced, True False D Question The purpose of Jim Crow laws was toenforce segregation laws.eliminate discrimination.integrate public schools.identify African Americans. How does the orientation of the phospholipids in the bilayer allow. Use f(x) = |x|f(x) is shifted left 5 and shifted up 2 to create g(x). Write the equation g(x).g(x)=....i dk if you need this or not but if you do it is here: g(x) = |x + 2| + 1 Which expression is equivalent to 3k + 5l + 6l + 2k?A) 8k + 8lB) 5k + 11lC) 5kD) 16