Two classmates have decided to read all the volumes in a popular series of books. Carly has
already read 10 volumes and will continue to read new ones at a rate of 2 volumes per week.
Lisa, who hasn't started reading the series yet, will read 4 volumes per week. At some point,
Lisa will catch up with Carly and they will be reading the same book. How many volumes will
each girl have read by then? How long will that take?

Answer:

translation

Step-by-step explanation:

a translation. a translation is where the figure is moved, but not rotated or reflected.

Julius Caesar raises many questions about the force of fate in life versus the capacity for free will. Cassius refuses to accept Caesar’s rising power and deems a belief in fate to be nothing more than a form of passivity or cowardice. He says to Brutus: “Men at sometime were masters of their fates. / The fault, dear Brutus, is not in our stars, / But in ourselves, that we are underlings” (I.ii.140–142). Cassius urges a return to a more noble, self-possessed attitude toward life, blaming his and Brutus’s submissive stance not on a predestined plan but on their failure to assert themselves.

Ultimately, the play seems to support a philosophy in which fate and freedom maintain a delicate coexistence. Thus Caesar declares: “It seems to me most strange that men should fear, / Seeing that death, a necessary end, / Will come when it will come” (II.ii.35–37). In other words, Caesar recognizes that certain events lie beyond human control; to crouch in fear of them is to enter a paralysis equal to, if not worse than, death. It is to surrender any capacity for freedom and agency that one might actually possess.

The Oxford School Shakespeare has become the preferred introduction to the literary legacy of the greatest playwright in the English language. This exclusive collection of the Bard's best works has been designed specifically for readers new to Shakespeare's rich literary legacy. Each play is presented complete and unabridged, in large print. Every book is well illustrated, and starts with a commentary and character summary. Scene synopses and character summaries clarify confusing plots, while incisive essays explore the historical context and Shakespeare's sources. Each book ends with a complete list of Shakespeare's plays and a brief chronology of the Bard's life. The detailed explanatory notes are written clearly and positioned right next to the text--no more squinting at microscopic footnotes or flipping pages back and forth in search of endnotes!

The new edition of the series features new covers and new illustrations, including both new drawings and photos from recent productions of Shakespeare's plays around the globe. In addition, the notes and the introductory material have been completely revised in line with new research and in order to make them clearer and more accessible. Finally, the entire text has been redesigned and reset to enhance readability. The new edition achieves the feat of unprecedented clarity of presentation without any cuts to the original text or the detailed explanations.

Answer:

3/4 is .75

Step-by-step explanation:

the model is showing to break it up into .25 sections, 3 .25 sections = .75

Answer:

Hello! answer: 10

Step-by-step explanation:

you do a^2+b^2=c^2 meaning

8 × 8 + 6 × 6 will equal a number which then we have to find out the square root of that number meaning what number you can multiply by itself to get that number so...

8 × 8 = 64

6 × 6 = 36

64 + 36 = 100

√100 = 10

10 × 10 = 100 therefore the missing length is 10 hope that helps!

Answer:

W=500-60d

Step-by-step explanation:

W=the remain water bottles

500=total water bottles

60water bottles times d=total water bottles at the end of days

If the school cafeteria has 500 water bottles in stock and sells a total of 60 water bottles per day, the function rule can be expressed as w = 500 - 60d

To write a function rule representing the given situation, we can use the variables w and d, where w represents the total number of water bottles in stock and d represents the number of days.

Initially, the cafeteria has 500 water bottles in stock. Every day, they sell 60 water bottles. So, at the end of each day, the total number of water bottles in stock decreases by 60.

Therefore, the function rule can be expressed as:

w = 500 - 60d

Here, 500 represents the initial number of water bottles in stock, and 60d represents the number of water bottles sold over d days, with d being the input variable.

This function rule calculates the remaining number of water bottles in stock (w) at the end of any given number of days (d), taking into account the initial stock of 500 and the daily sales of 60 bottles.

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Answer:

9 people can go to the amusement park.

Answer:

P is complementary to x

Step-by-step explanation:

Complementary means adding to 90 degrees

P+x = 90 degrees

So P is complementary to x

Answer:

( A) ∠ P

∠P is complementary angle to ∠ X .

Step-by-step explanation:

P + X = 90°

P is complementary to X.

Answer:

:P

Step-by-step explanation:

:P

Answer:

6x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given ,

Sum of 3 times m = 3m

And 4 times m = 4m

Hence,

Sum is = 3m + 4m = 7m (Ans)

Answer:

240.625

Step-by-step explanation:

Circumference = 55 m. = 2pi*r

Radius of enclosure, r = 55/(2pi)

Area of enclosure

= pi (r^2)

= pi (55/2pi)^2

= 55^2/(4pi)

=3025/4pi

substitute pi = 22/7

= 1925/8

= 240.625

Answer:

[tex]Vertex = (-2,-25)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = (x - 3)(x + 7)[/tex]

Required

The vertex

[tex]f(x) = (x - 3)(x + 7)[/tex]

Open bracket

[tex]f(x) = x^2 -3x+7x-21[/tex]

[tex]f(x) = x^2 +4x-21[/tex]

Express -21 as 4 - 25

[tex]f(x) = x^2 +4x+4-25[/tex]

Group as:

[tex]f(x) = (x^2 +4x+4)-25[/tex]

Factorize the expression in bracket

[tex]f(x) = (x+2)^2-25[/tex]

The vertex form is:

[tex]f(x) = a(x - h)^2 + k[/tex]

Where the vertex is:

[tex]Vertex = (h,k)[/tex]

[tex]Vertex = (-2,-25)[/tex]

Answer:

It's B, Points a and f. -5 and 5

Answer:

17+m

Step-by-step explanation:

calculate the sum of positive numbers

17+m

Answer:

all sum 7+2+m+8 = 17 m. hope helpful answer

Answer:

13.5

18.1

72.2

12.8

6,2

66.1

49.1

14

31.8

Step-by-step explanation:

In solving this question, remember the annotation SOHCAHTOA

1. We are given the value of the hypotenuse and we are to determine the value of the adjacent side. COS would be used to determine this value

Cos 26 = Adjacent / hypotenuse

cos 26 = x / 15

x / 15 =0.8988

x = 15 x 0.8988 = 13.5

2. We are given the value of the hypotenuse and we are to determine the value of the opposite side. SIN would be used to determine this value

Sin = opposite / hypotenuse

sin 49 = x / 24

0.7547 = x / 24

x = 0.7547 x 24

x = 18.1

3. We are given the value of the opposite side and we are to determine the value of the adjacent side. TAN would be used to determine this value

Tan = opposite / adjacent

tan 14 = 18 /x

18 / 0.2493 = 72.2

4.  We are given the value of the adjacent and we are to determine the value of the hypotenuse side. COS would be used to determine this value

cos 67 = opposite / hypotenuse

0.3907 = 5/x

x =5/  0.3907 = 12.8

to determine the missing angle

7. tan^-1 = opposite / adjacent

8. cos^-1 = adjacent / hypotenuse

9 = sin^-1 = opposite / hyotensue

In the circumference formula given d is the diameter which is 2 times r ( r is the radius)

R is given as 6 feet, diameter = 2 x 6 = 12 feet.

Circumference = 12 feet x 3.14 = 37.68 feet

Answer:

16 and 18

Step-by-step explanation:

(n + 2)² - n² = 68

Expand

(n² + 4n + 4) - n² = 68

4n + 4 = 68

Subtract 4 from both sides

4n = 64

Divide both sides by 4

n = 16

n + 2 = 18

The two consecutive even numbers are 16 and 18.

A number system is defined as a system of writing to express numbers.

The difference of the squares of two consecutive even integers is 68.

We need to find the two numbers.

Let the first even number is x+2

The second number will be x

(x+ 2)² - x² = 68

(x² + 4x + 4) - x² = 68

4x + 4 = 68

Subtract 4 from both sides

4x = 64

Divide both sides by 4

x= 16

x + 2 = 18

Hence, the two consecutive even numbers are 16 and 18.

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Answer:

3 x 4 x 380

Step-by-step explanation:

The correct strategy that he could use would be

3 x 4 x 380

This is basically splitting up the 12 into two numbers whose product equals 12. This shrinks the numbers and makes it easier to multiply the 380. Since it is easier to multiply 380 by 4 as opposed to 12. This strategy will still give you the same result as 12x380 and both will give you a product of 4,560

Answer:

[tex]x = 8\tan(50)[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x

To find x, we make use of the following trigonometry ratio;

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(50) = \frac{x}{8}[/tex]

Make x the subject

[tex]x = 8\tan(50)[/tex]

Answer:

23/2000

Step-by-step explanation:

1.15%=0.0115=115/10000

simplified

23/2000

Answer:

Is it any of the rational numbers?  There are an infinite number of rational numbers.  Rational numbers are any numbers that can be written as a fraction.  All the integers between those two points (-2, -1, 0, etc.) are all rational.  Any of the numbers between the points would be too. 1/2, 1/3, 2 1/3, etc.

Step-by-step explanation:

18. (5+3i) + (2-2i)

8 + 0

Answer = 8

19. (8+9i) + (5-9i) - (8-7)

17 + -4 - 1

- - = +

:. -4 + 1 = -3

17 - - 3

Answer = 20

20. (6+8i)(3-2i)

14 × 1

Answer = 14

Answer:

6.4

Step-by-step explanation:

Answer:

4.45 m/s

Step-by-step explanation:

Vertical distance, Sy = 5m

The speed of pebble when they hit her window :

Vx = Sx / t

We can obtain t using the relation :

Sy = 1/2 * at²

Where, a = acceleration due to gravity = 9.8m/s²

We can obtain t

5 = 1/2 * 9.8 * t²

5 = 4.9t²

t = √5/4.9

t = 1.01 seconds

Hence,

Speed, Vx = Sx / t

Vx = 4.5 / 1.01

Vx = 4.45 m/s

Answer:

SSS

Step-by-step explanation:

∆ ABC after reflected over y-axis and then translated by 2 units down ===> ∆A"B"C"

so the size of sides doesnt change

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

Explanation:

Refer to the diagram below. Notice how I've formed 3 rectangles underneath the curve. The term "right Riemann sum" refers to the idea of making each rectangle's upper right corner be on the curve. The upper left corner spills over top, meaning we have an over-estimate going on here.

Simply find the area of each rectangle, and then add up those sub areas. That will get you to the final answer.

Note how we go from x = -1 to x = 5, which is a distance of 5-(-1) = 6 units. Split three ways and each interval is 6/3 = 2 units wide.

If we started at x = -1, then increasing 2 units leads us to x = -1+2 = 1 as the first x input we compute into f(x). This is the height of the first rectangle.

Then 1+2 = 3 is the next input, meaning f(3) is the height of the next rectangle, and so on. We keep going until all rectangles are accounted for.

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

You should have these rectangle heights:

when moving from left to right.

They add up to 3+29+127 = 159. Double that to get to the final answer of 2*159 = 318

The formula I'm using is

[tex]\Delta x*(f(x_1) + f(x_2) + \dots f(x_n))[/tex]

where x1,x2,... represents the values 1, 3, and 5. These are the x values plugged into the function to get the corresponding heights (3, 29, 127)

Answer:

[tex](y+4)^2 = -8(x+2)[/tex], option D.

Step-by-step explanation:

Equation of a parabola:

The equation of a parabola has the following format:

[tex](y - k)^2 = 4p(x-h)[/tex]

In which the center is (h,k) and the focus is (h+p,k).

Vertex (-2,-4)

This means that [tex]h = -2, k = -4[/tex]

So

[tex](y - k)^2 = 4p(x-h)[/tex]

[tex](y - (-4))^2 = 4p(x-(-2))[/tex]

[tex](y+4)^2 = 4p(x+2)[/tex]

Vertex (-2,-4)

Focus (-4,-4)

-4 - (-2) = -4 + 2 = -2

So p = -2 and

[tex](y+4)^2 = 4(-2)(x+2)[/tex]

[tex](y+4)^2 = -8(x+2)[/tex], option D.

Answer:

(y+4)2=−8(x+2) 

The answer would be D.