3) Each volume of an encyclopedia has two covers, each 1/4-inch thick, and 300 pages of text that are 2-inthick. The books are arranged in order on a shelf. How far does a bookworm travel who burrows his way from the first page of Volume I to the last page of Volume III?

Answers

Answer 1

Answer:

7 inches

Step-by-step explanation:

Volume 1 - 300 pages 2 inches

back cover 1/4 inch

Volume 2 - front cover 1/4 inch

300 pages 2 inches

back cover 1/4 inch

Volume 3 - front cover 1/4 inch

300 pages 2 inches


Related Questions

Drag graphs to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, or the line y=x.

Answers

Answer:

3rd Graph = 1st box

2nd Graph = 2nd Box

4th Graph = 3rd Box

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $80. A season ski pass costs $300. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive then the daily passes?

Answers

Answer: I think it's 9 days.

Step-by-step explanation:

Evaluate the numerical expression open parentheses 5 to the power of negative 4 close parentheses to the power of one half.

Answers

Answer:

1/25 or 0.04

Step-by-step explanation:

evaluated in fraction and decimal form i hope this helped :)

you are traveling 150 miles to your cousins house. You travel at an average rate of 50 miles per hour. How long will it take to get to cousin house?

Answers

Answer

It will take 3 hours to get to your cousin's house.

Explanation

Firstky, note that Speed is given as

[tex]\text{Speed =}\frac{Dis\tan ce}{Time}[/tex]

For this question, we are told that the distance to your cousin's house is 150 miles.

The speed is an average rate of 50 miles per hour.

We are then asked to calculate how long it will take to get to your cousin's house.

Speed = 50 miles/hour

Distance = 150 miles

Time = ?

[tex]\begin{gathered} \text{Speed = }\frac{Dis\tan ce}{Time} \\ 50=\frac{150}{Time} \\ \text{Cross multiply} \\ 50\times Time=150 \\ \text{Divide both sides by 50} \\ \frac{50\times Time}{50}=\frac{150}{50} \\ \text{Time = 3 hours} \end{gathered}[/tex]

Hope this Helps!!!

As Sandra drives, her music player randomly selects music from her playlist. Sandra’s playlist contains:
3 traditional country songs

6 traditional rock songs

4 hip-hop rap songs

5 contemporary country songs'

1 Latin rap song

3 traditional pop songs

What is the probability that the player will select some rap music next?

Find P (traditional), that is, the probability that the player will randomly select traditional music of any kind.

Find P (traditional pop)

Find P (not country), the probability that the next song is NOT country music.

Answers

In the given question, the following information is given

Sandra music player randomly selects music from her playlist. Sandra’s playlist contains:

traditional country songs = 3

traditional rock songs = 6

hip-hop rap songs = 4

contemporary country songs' = 5

Latin rap song = 1

traditional pop songs = 3

Total sample space = 3 + 1+ 5 + 4+ 6+3 = 22 songs

We need to find the probability, that her music player will play a rap song = [tex]\frac{Number of sample sample space for rap song}{Total space} \\[/tex]

= [tex]\frac{4 + 1}{22}[/tex] = [tex]\frac{5}{22}[/tex]

P (traditional), that is, the probability that the player will randomly select traditional music of any kind = [tex]\frac{Number od sample space for traditional song}{total sample space}[/tex]

= [tex]\frac{3 + 6+3}{22}[/tex]

= [tex]\frac{12}{22}[/tex] = [tex]\frac{6}{11}[/tex]

P (traditional pop) = [tex]\frac{sample space for pop songs}{total sample space}[/tex]

= [tex]\frac{3}{22}[/tex]

P  (country), the probability that the next song is country music = [tex]\frac{Sample space fpr country music}{total sample space}[/tex]

= [tex]\frac{8}{22}[/tex]

= [tex]\frac{4}{11}[/tex]

P (not country), the probability that the next song is NOT country music.=

1 - [tex]\frac{4}{11}[/tex]

= [tex]\frac{11 -4}{11}[/tex]

= [tex]\frac{7}{11}[/tex]

Hence, this is the final answer.

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Someone please complete. will mark brainliest. 30 points given!!

Answers

The answer to all the subparts of the congruency of triangles is shown:

ΔABC and ΔPQR are congruent - SSS congruence.ΔGHJ and ΔUVW are congruent - SSS congruence.ΔGHJ and ΔPQR are not congruent.ΔPQR and ΔUVW are not congruent.

What is the Congruence of a triangle?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.

In ΔABC and ΔPQR  

AB = PQAC = PRBC = QR

Thus from SSS congruence, we get ΔABC ≅ ΔPQR  

In ΔGHJ and ΔUVW

GH = UVJH = WVJG = UW

Thus from SSS congruence, we get ΔGHJ ≅ ΔUVW

However, ΔGHJ and ΔPQR are not congruent because there are no two sides that are equal.

Also, ΔPQR and ΔUVW are not congruent because of the same reason mentioned above.

Therefore, the answer to all the subparts of the congruency of triangles is shown:

ΔABC and ΔPQR are congruent - SSS congruence.ΔGHJ and ΔUVW are congruent - SSS congruence.ΔGHJ and ΔPQR are not congruent.ΔPQR and ΔUVW are not congruent.

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For a project in his Geometry class, Yusuf uses a mirror on the ground to measure the
height of his school building. He walks a distance of 10.25 meters from the building,
then places a mirror flat on the ground, marked with an X at the center. He then
walks 1.65 more meters past the mirror, so that when he turns around and looks
down at the mirror, he can see the top of the school clearly marked in the X. His
partner measures the distance from his eyes to the ground to be 1.55 meters. How tall
is the school? Round your answer to the nearest hundredth of a meter.

Answers

Answer:

x = 9.629 meters

Step-by-step explanation:

x / 10.25 = 1.55 / 1.65

x = 1.55 / 1.65 * 10.25

x = 9.629 meters

Christopher earns $5.80 an hour and time-and-a-half for all hours worked over 40 hours. How much did he earn the week he worked 44.5 hours?

Answers

Answer:

$271.15

Step-by-step explanation:

Assuming that "time-and-a-half for all hours worked over 40 hours" means that all time spent past that is 1.5X the paycheck, then its 40 times 5.80=$232. then (5.8 times 1.5) times 4.5 = $39.15
$232+$39.15=$271.15

Find the x- and y-intercepts of the graph of x+y=18. State each answer as an integer or an improper fraction in simplest form

Answers

The x- and y-intercepts of the graph of x+y=18 are; (18, 0) and (0, 18) respectively.

What is the x-intercept of a function?

The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function. The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 because at that value of x, the function f(x) lies on x-axis, where y is 0. Values of x-intercept for a function f(x) are also called roots or solution of f(x) = 0 equation.

For x intercept, y = 0

x + y = 18

x + 0 = 18

x = 18

Hence, the x-intercept is (18, 0)

For y intercept, x = 0

x + y = 18

0 + y = 18

y = 18

Hence, the y-intercept is (0, 18)

The x- and y-intercepts of the graph of x+y=18 are; (18, 0) and (0, 18) respectively.

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Please answer my first question

Answers

[tex]\textit{area of a rectangle}\\\\ A=bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=2x^2+5x+4\\ h=5x^3 \end{cases}\qquad \begin{array}{llll} \\\\\\ A~~ = ~~ \end{array} \begin{array}{cllll} 2x^2+5x+4\\\\ \times ~~ 5x^3\\\cline{1-1} 10x^5+25x^4+20x^3 \end{array}[/tex]

Determine the values of A, B, and C when y – 7=3(x−4) is written in standard form, Ax+By=C.

Answers

Answer:

Step-by-step explanation:

rearrange this equation y – 7=3(x−4) into this Ax+By = C

its pretty simple if you think about it :)

firstly, lets multiply the 3 with x - 4

y - 7 = 3x -12

we are going to bring the 3x to the right side to make the arrangement possible

-3x - y = -5 (minus twelve plus seven)

therefore, A is -3, B is -1 and C is -5

The fox population in a certain region has a relative growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 20,200 foxes. a) Find an equation that models the population t years after 2000 (t = 0 for 2000). A = b) Use the equation from part (a) to estimate the fox population in the year 2009. Round to the nearest fox. foxes​

Answers

Answer:

where is the question? plssss so im sorrry but where is the question i don't see a question?

A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf graduate students have in a one week period. We know from preliminary studies that the standard deviation is around 1. 8. How many students should be sampled to be within 0. 25 drink of population mean with 95% probability?.

Answers

The number of the students should be sampled to be within 0.25  alcoholic drinks of population mean with 95% probability is 62.

What is termed as the Margin of error?The margin of error measures the degree of uncertainty in the parameter estimates of parameter results.The reliability of a estimates decreases as the margin of sample error increases.

α is the result of subtracting one from confidence interval as well as dividing by two.

α =  (1 - 0.95) ÷ 2 = 0.25

Find z in the Z-table because z does have a p-value of 1 - α.

As a result, the p-value of z is  (1 - 0.025) = 0.975.

Thus, z  = 1.96

Now find M as;

M = z × (σ ÷ √n)

In which,

n is the sample size σ = population standard deviation.

When M = 1,

The standard deviation, in accordance with the question, is approximately 1.

σ = 1

M = z × (σ ÷ √n)

0. 25 = 1.96 × (1 ÷ √n)

√n = 1.96 × (1 ÷ √n)

Squaring both sides,

(√n)² = ((1.96 × 1) ÷ 0.25)²

n = (7.84)²

n = 61.4656

n ≈ 62

Thus, the number of the students should be sampled to be within 0. 25 alcoholic drink of population mean with 95% probability is 62.

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you start at (1,7). you move left 1 unit and down 6 unit

Answers

The required point on the cartesian plane is (0,1).

What is a cartesian plane?

Definition of a Cartesian Plane. The intersection of two perpendicular lines results in the formation of the cartesian plane, a two-dimensional coordinate plane. The X-axis is the horizontal line, and the Y-axis is the vertical line.

In a graph (1,7) lies in the first quadrant

And if we go 1 unit left then that means that we will be on the y axis

Then if we go down 6 units we will reach at point 1 unit away from the origin on the y axis . This particular point can be represented as (0,1).

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Which represents a total cost of 3 dance tickets at a price of c for each, less a one-time $2 discount?

A 2(c) - 3

B 3(2) - c

C 3(c - 2)

D 3(c) - 2

Answers

The correct answer is option D

3(c) - 2 represents the total cost of three dance tickets at a cost of c each, less a one-time $2 discount.

Explanation:A linear equation is one with a leading degree of one.A linear equation is an algebraic equation With only a constant and a first-order (linear) term of the form

         y = mx+b, where m is the slope and b is the y-intercept.

The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.

Based on the question. We have the parameters listed below.

The total cost of three dance tickets is 3c (at c for each)

One-time offer = $2

Because discounts are always subtracted from the total cost,

the equation represents,

the total cost of three dance tickets at a cost of c each, less a one-time discount $2

=  3(c) - 2

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Paul receive about 13 advertisement via email each day. about how many advertisement emails will he receive in 30 days?

Answers

Answer:

390

Step-by-step explanation:

Paul receive about 13 advertisement via email each day. about how many advertisement emails will he receive in 30 days?

13 × 30 = 390

Complete all these questions and provide an explanation with complete sentences for full credit.
1) Which muraber is rational? Explain
+
√13

Answers

Root 13 is a non-recurring, infinite decimal. Since 13 is not a perfect square, its square root cannot be determined precisely. 13 cannot be expressed as a fraction, which is the definition of a rational number, because it cannot be expressed as a ratio of integers.

An illustration of a rational number?

If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Rational number examples include 1/3, 2/4, 1/5, 9/3, and so on.

Irrational number examples include: Any real number that cannot be expressed as a fraction is considered to be illogical.

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Which one of them is right?

Answers

Answer:

neither of them are right

- student claims that there is no solution to the system of inequalities shown.
y≥x² + 3
y< x + 1
2
PART A (2 POINTS): Explain a method for proving that the student's claim is correct.
peaker notes

Answers

The system of inequalities has no solution because the lines do not meet at any point

How to prove the student's claim?

The system of inequalities is given as

y ≥ x² + 3

y < x + 1

From the above system of inequalities, we can see that the function types are

Parabola: y ≥ x² + 3Linear: y < x + 1

Next, we plot the graph of both inequalities in the system (see attachment for the graph)

From the graph, we can see that the lines and the curves of the functions do not intersect

This means that the system has no solution

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Comparing Attributes of 2-D Figure, (points, brainliest, stars)

Answers

The given figure is a Rhombus hence the last diagram is correct.

In planar Euclidean geometry, a rhombus—also known as a rhombi or rhombus—is a quadrilateral having four sides of equal length.

A quadrilateral with equally sized sides is referred to as a "equilateral quadrilateral." While the name "diamond" is usually used to refer to a rhombus with a 60° angle because it resembles the projection of an octahedral diamond from the playing card's diamond suitThe term "lozenge" is occasionally used to specifically refer to a rhombus with a 45° angle.Every single rhombus is a unique example of a parallelogram and a kite, and it is straightforward (does not self-intersect). A right-angled rhombus is a square.

The given figure is a rhombus. All the sides are equal but the angles are not 90°. Hence its is not a square or a rectangle.

The correct diagram is attached below.

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if a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.

Answers

The diameter is decreasing at a rate of  - 0.101 cm/min

Given that,

Surface area is decreasing at a rate of [tex]7cm^{2}[/tex]/min,

We know that,

Surface Area of a sphere:

S = 4 π r2

dS/dt = - 7cm2/min

our aim is to find rate of decrease of Diameter:

dD/dt =?

Substitute r in the equation with radius = 1/2*Diameter:

r = 1/2D

Take the derivative of the surface area function with respect to time:

d/dt [S = 4 π (1/2D)2]

d/dt [S = 4 π 1/4*D2]

d/dt [S = π *D2]

dS/dt = 2πD*dD/dt

Solve for dD/dt:

dD/dt = dS/dt / 2πD

Substitute, dS/dt = - 7cm2/min and D = 11 cm

dD/dt = dS/dt / 2πD

dD/dt = - 7cm2/min / 2π*11cm

dD/dt = - 7cm2/min / 22π cm

dD/dt = - 7cm / 22π min

dD/dt = - 0.101 cm/min

Therefore, the diameter is decreasing at a rate of - 0.101 cm/min

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0.101331789 cm/min is the rate at which the diameter decreases when the diameter is 11 cm

if a snowball melts so that its surface area decreases at a rate of 7 cm2/min,

find the rate at which the diameter decreases when the diameter is 11 cm.

Surface area: S

radius: r

diameter: e

time: t

[dS/dt] = [dS/de]*[de/dt] => de/dt = [dS/dt] / [dS/de]

S = 4pi*r^2 = 4p*i(e/2)^2 = pi*e^2 => dS/de =2pi*e

dS/dt = 7cm^2 / min

de / dt = [2pi*e] / [7cm^2/min] =[7cm^2/min] /  [2pi*11cm]

= 0.101331789 cm/min

Hence , 0.101331789 cm/min is the rate at which the diameter decreases when the diameter is 11 cm

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11. (0, 2) and (4, -4)
12. (-2,-4) and (-3, -3)

Answers

Answer:

11. -3/2

12. -1

Step-by-step explanation:

To find slope, subtract the y's and put that on top of a fraction. Then subtract the x's and put that on the bottom of the fraction. Simplify if you can.

Subtract y's 2 - -4 is

2+4 which is 6, put that on top.

0 - 4 is -4 put it on the bottom.

Slope is 6/-4. Simplified, this is -3/2

The other question, same thing:

y-y over x-x

-4 - -3 / -2 - - 3

= -4+3 / -2 + 3

= -1 / 1

= -1

An insurance agent is paid a salary of 200 and a commission of 3% on all sales over 2000 per month. If his total income in a particular month was 530 what was the amount of his sales for that month

Answers

The amount of the insurance agent's sales for the month is 11,000.

What is the amount of sales?

The total income can be modelled as a linear equation. A linear equation is an equation that has one variable that is raised to the power of one. The form of a linear equation is:

y = mx + b

Where:

m = slope b = intercept

530 = base salary + (percentage x value of sales over 2000)

530  = 200 + 3% x s

530 = 200 + 0.03s

530 - 200 = 0.03s

330 = 0.03s

s = 330 / 0.03

s = 11,000

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The ratio of small dogs to large dogs at the dog show is 4:3. If there are 60 dogs in the
show, how many are large dogs?

Answers

Answer:

45 large dogs

Step-by-step explanation:

Step 1:

60 x 3 = 180

180 ÷ 4 = 45

Derek filled the pitcher with 8 fluid ounces of lemonade. What was the percent error if the actual measurement was 10 fluid ounces?​

Answers

Answer: 80%

Step-by-step explanation:

To find percent error all you have to do is divide the estimate by the actual then multiply it by 100

8/10×100=80%

The percent error of the actual measurement of 10 fluid ounces is 25%.

Percent error:

Percent error means the difference between the exact or known value of something and its approximate or actual value, in percentage form.

The formula to calculate the percent id defined as

δ = |(A - E)/E| x 100%

Where

δ  = percent error

A  = actual value observed

E  = expected value

Given,

Derek filled the pitcher with 8 fluid ounces of lemonade.

Here we need to find the percent error if the actual measurement was 10 fluid ounces.

According to the percent error formula, the actual value in the given question is 10 and the expected value is 8.

Then we have to apply the value on the formula, then we get,

Percent error = [(10 - 8)/8] x 100%

Percent error = [2/8] x 100%

Percent error = 0.25 x 100%

Therefore, the percent error in the given situation is 25%.

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Could someone please help? You do not have to draw a diagram.

Answers

The biggest  area of a quadrilateral we can fit in a circle of a 20π units is 200 sq units.

What is area of a quadrilateral?A quadrilateral made up of two triangles.Area of the quadrilateral = 2 * area of the traingleIf the diagonal and the length of the perpendiculars from the vertices are given, then the area of the quadrilateral is calculated as: Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

GIVEN:

The circumference of the circle is 20π units.The biggest area of a quadrilateral that can fit in a circle is of square.Deduce the radius of the circle.

SOLVING:

2πR =20πr = 10 units

Area of the quadrilateral is

100*2= 200 sq units

hence,The biggest  area  of a quadrilateral we can fit in a circle of a 20π units is 200 sq units.

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Please help me because I got the answer wrong. ​

Answers

[tex]\cfrac{1}{3}x^2~~ = ~~\cfrac{4}{27}\implies \cfrac{x^2}{3}~~ = ~~\cfrac{4}{27}\implies x^2=\cfrac{(3)4}{27}\implies x^2=\cfrac{12}{27} \implies x=\pm\sqrt{\cfrac{12}{27}} \\\\\\ x=\pm\cfrac{\sqrt{12}}{\sqrt{27}} \implies x=\pm\cfrac{\sqrt{2^2\cdot 3}}{\sqrt{3^2\cdot 3}}\implies x=\pm\cfrac{2\sqrt{3}}{3\sqrt{3}}\implies x=\pm\cfrac{2}{3}[/tex]

a/6 -5=9 what’s the answer

Answers

Answer:

a = 84

Step-by-step explanation:

[tex]\frac{a}{6} - 5 = 9\\\frac{a}{6}} - \frac{5*6}{6} = \frac{9*6}{6}\\ a - 30 = 54\\ a = 54 + 30\\ a = 84[/tex]

Which recieves the more interest per annum:$150 invested at 4% or $180 invested at 3 1/2%? What is the annual difference​

Answers

Simple Interest is the amount repaid for using the borrowed funds over a predetermined amount of time. When the total principal amount and the rate of interest for a certain amount of time surpass the due date for payment, this is known as compound interest.

What do compound and simple interest mean?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued. S.I. = (P, T, and R) x 100 is the formula.For Example : $150 put up at 4%

Total to Calculate Interest on - $150

Annual Interest Rate - 4%

Monthly interest -  $0.50

Yearly interest -  $6.00

Investing $180 at 3 1/2%

Total to Calculate Interest on - $180

Annual Interest Rate - 3.5

Monthly interest -  $0.53

Yearly interest - $6.30

Consider making a $100 (the principal) investment at a 5% yearly rate for a year. The computation for simple interest is as follows: $100 x.05 interest x 1 year = $5 in simple interest after a year.

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I need help with this page for my math class

Answers

Answer:

(1) Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity. Example, 1, 2, 3, 4,... are natural numbers.

Step-by-step explanation:

(2) Number Trick 1:

Let the single digit be: 1

Multiply by 2: 1 x 2 = 2

Add 8 to your answer: 2 + 8 = 10

Divide your answer by 2: 10 ÷ 2 = 5

Subtract original number: 5 - 1 = 4

(3) Final result is 4.

The trick will always work for all NATURAL NUMBERS.

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Find the greatest common factor of these two expressions.28x^2 y^8 u^4 and 16x^6 u^7 Floyd is riding his bicycle down the street while texting on his phone. floyd does not see vivian, a store owner, who is putting magazines out in front of her storefront. he looks up just in time and swerves to miss vivian but knocks her entire magazine rack and newsstand down, totally destroying it. is floyd liable? MEDIDAS DE TENDENCIACENTRALHalla las medidas de tendencia central a cada situacin ycompleta su tabla de frecuencia.1. Las edades de 9 estudiantes son:DatoEdad6796, 7, 9, 7, 9, 9, 9, 9, 7Moda Mo=CantidadFrecuenciaMedia X =Mediana Me=Alguien q me ayude xfa lo necesito para hoy ;( se los agradecera enserio Should the recreational use of marijuana be legal in Nevada? Yes or No. Justify your answer. (5 sentences) A certain television is advertised as a 5-inch TV. If the width of the TV is 4 inches, how many inches tall is the TV Fill in the blanks with the missing forms of gustar to complete the sentences below. Do not capitalize or use punctuation, as it will confuse the system.1. A mi hermana le2. A mis paps les3. A ti te4. A Sara y a m nos5. A l lelos perros.nadar.el chocolate.las pelculas.la comida china. If an object has a mass of 85g and a volume 92cm^3 Reading the data from the given table of crimes per 1,000 residents, in which year did crime increase at all three levels of government?2005200320042008 How many more electrons can fit in the 2nd electron shell compared to the 1st?62810 HELP ASAP ASAPRead the following passage from Anne of Green Gables by Lucy Maud Montgomery. Answer the question that follows the text."Oh, you can talk as much as you like. I don't mind.""Oh, I'm so glad. I know you and I are going to get along together fine. It's such a relief to talk when one wants to and not be told that children should be seen and not heard. I've had that said to me a million times if I have once. And people laugh at me because I use big words. But if you have big ideas you have to use big words to express them, haven't you?""Well now, that seems reasonable," said Matthew."Mrs. Spencer said that my tongue must be hung in the middle. But it isn'tit's firmly fastened at one end. Mrs. Spencer said your place was named Green Gables. I asked her all about it. And she said there were trees all around it. I was gladder than ever. I just love trees. And there weren't any at all about the asylum, only a few poor weeny-teeny things out in front with little whitewashed cagey things about them. They just looked like orphans themselves, those trees did. It used to make me want to cry to look at them. I used to say to them, 'Oh, you POOR little things! If you were out in a great big woods with other trees all around you and little mosses and Junebells growing over your roots and a brook not far away and birds singing in you branches, you could grow, couldn't you? But you can't where you are. I know just exactly how you feel, little trees.' I felt sorry to leave them behind this morning. You do get so attached to things like that, don't you? Is there a brook anywhere near Green Gables? I forgot to ask Mrs. Spencer that.""Well now, yes, there's one right below the house.""Fancy. It's always been one of my dreams to live near a brook. I never expected I would, though. Dreams don't often come true, do they? Wouldn't it be nice if they did? But just now I feel pretty nearly perfectly happy. I can't feel exactly perfectly happy becausewell, what color would you call this?"She twitched one of her long glossy braids over her thin shoulder and held it up before Matthew's eyes. Matthew was not used to deciding on the tints of ladies' tresses, but in this case there couldn't be much doubt."It's red, ain't it?" he said.The girl let the braid drop back with a sigh that seemed to come from her very toes and to exhale forth all the sorrows of the ages."Yes, it's red," she said resignedly. "Now you see why I can't be perfectly happy. Nobody could who has red hair. I don't mind the other things so muchthe freckles and the green eyes and my skinniness. I can imagine them away. I can imagine that I have a beautiful rose-leaf complexion and lovely starry violet eyes. But I CANNOT imagine that red hair away. I do my best. I think to myself, 'Now my hair is a glorious black, black as the raven's wing.' But all the time I KNOW it is just plain red and it breaks my heart. It will be my lifelong sorrow. I read of a girl once in a novel who had a lifelong sorrow but it wasn't red hair. Her hair was pure gold rippling back from her alabaster brow. What is an alabaster brow? I never could find out. Can you tell me?""Well now, I'm afraid I can't," said Matthew, who was getting a little dizzy. He felt as he had once felt in his rash youth when another boy had enticed him on the merry-go-round at a picnic."Well, whatever it was it must have been something nice because she was divinely beautiful. Have you ever imagined what it must feel like to be divinely beautiful?""Well now, no, I haven't," confessed Matthew ingenuously."I have, often. Which would you rather be if you had the choice-divinely beautiful or dazzlingly clever or angelically good?""Well now, I-I don't know exactly.""Neither do I. I can never decide. But it doesn't make much real difference for it isn't likely I'll ever be either."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. Following the invasion of Algeria in 1830, what did France bring to their African colonies? How did US pilots contribute to the Allied war effort in Europe during World War II?0 They carried out countless bombing raids on targets in Germany.O They sank ships carrying supplies to Britain and the Soviet Union.They trained British pilots in effectiveair support techniques.They ferried retreating troops between Europe and Great Britain. The manager of a new restaurant plans on ordering place-mats for the maximum number of diners, which is 279. Suppose the place-mats come in boxes of 24. Write a division expression that could be used to determine the number of boxes he needs to order.\