Find the distance between the two points (8, 3) and (0, -3)

Answers

Answer 1

Answer:

10

Step-by-step explanation:

d is the variable for distance

√(0−8)2+(−3−3)2=

√(−8)2+(−6)2=

√64+36=

√100=

10

Answer 2

Answer:

10

Step-by-step explanation:


Related Questions

I need help ASAP!
Possible answers are 9, 37, -37, 19, 24, 8, and -24

Answers

Answer:

37

Step-by-step explanation:

Hello!

First we add 15 to both sides

[tex]\frac{-5x-10}{5} = -2x + 35[/tex]

Multiply both sides by 5

-5x - 10 = -10x + 175

Add 10 to both sides

-5x = -10x + 185

Add 10x to both sides

5x = 185

Divide both sides by 5

x = 37

The answer is 37

Hope this helps!

[tex]\dfrac{-5x-10}{5}-15=-2x+20\quad|\cdot5\\\\-5x-10-75=-10x+100\\\\-5x+10x=100+10+75\\\\5x=185\quad|:5\\\\\boxed{x=37}[/tex]

all integers are whole numbers?true or false​

Answers

Answer:

that would be false

Step-by-step explanation:

all whole numbers are integers, but not all integers are whole numbers

Which graph represents a function?

Answers

Answer:

The first one is the only function

Step-by-step explanation:

You cannot have points on the same y gridline

If it is a function is has to pass the pencil test

Answer:

[tex]\boxed{Graph A.}[/tex]

Step-by-step explanation:

Hey there!

Well graph A is correct because if you do the vertical line test which decides is the graph is a function or not you can see that all the graph expect A have the vertical line go through 2 points.

Hope this helps :)

It takes Matt 3 minutes to read one page in a book. If he continues to read at the same pace, he can read 15 similar pages in minutes. If the book has 300 pages, it will take him minutes to read it.

Answers

Answer:

a)45min

b)900min

Step-by-step explanation:

We were told that it takes Matt 3 minutes to read one page in a book.

It implies that 3minutes = 1page of the book

Then he continues to read at the same pace, he can read 15 similar pages in minutes.

a)Then, he can read 15 similar pages in

15x3 minutes.which is 45minutes.

b)Then if the book has 300 pages, it will take him. 300×3 minutes to read it.which is 900mins

Answer: has anyone seen my dad?

A
man paid 15600
for a new
car. He
was given a discount of
7%. Find the marked price
of the car​

Answers

hope it helps.I was reading the same chapter

On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is feet.

Answers

Complete question :

Zen is participating in an all-day hike to the Grandfather Mountain Summit on the Blue Ridge Parkway.

Starting at elevation zero, Zen climbs to an elevation of 4,646.4 feet to reach the Cragway Trail. From there, he hikes up another 1,817.6 feet to the Calloway Peak Summit, the highest point on Grandfather Mountain. Based on these numbers, the Calloway Peak Summit is at a height of _____ feet.

On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is ______ feet.

Answer:

6,464 Feets; 4,061.5 Feets

Step-by-step explanation:

Given the following:

Starting elevation = 0

Elevation of the Cragway Trail = 4,646.4 feets

Elevation of Cragway Trail to Calloway peak summit = 1,817.6

From Calloway peak summit, Zen descends to an elevation of 2,402.5 Feets (flat Rock junction)

The Calloway Peak Summit is at a height of _____ feet.

Height of Calloway Peak Summit:

(Starting elevation to Cragway trail) + (Cragway trail elevation to Calloway peak Summit)

4,646.4 Feets + 1,817.6 Feets = 6,464 Feets

B) Elevation at Flat Rock Junction:

Height of Calloway peak summit - 2,402.5

(6464 - 2402.5) Feets = 4,061.5 Feets

Evaluate the following expression.
10^7 + 9 + 1^3 =

Answers

Anjdjdnjadnosepsjkdsksksks

bzjd

f(x) = x2. What is g(x)?

Answers

Answer:

g(x)=3x(superscript)2

Answer:

g(x) = 3x².

Step-by-step explanation:

In the diagram, we see that the vertex has not been shifted from the origin. The only thing that happened to the graph of f(x) was that it was vertically stretched to become g(x).

Where x = 1, f(x) = 1. Where x = 1, g(x) = 3. That means that the graph of f(x) was multiplied by 3.

So, g(x) = 3x².

Hope this helps!

Cada par de numeros esta a razon de 2:3

Answers

(0,8)+(7,-52) eso es la problema

Cory earns $9.50 per hour for the first 40 hours he works in a week. For any hours over 40 hours per week, his hourly rate is multiplied by 1.5. How much does he earn is he works for 43.5 hours in one week?

Answers

Answer:

429.88

Step-by-step explanation:

The first 40 hours is at 9.50

40 *9.50 =380

The remaining hours is at 9.50 * 1.5 or 14.25

43.5 -40 = 3.5

3.5 * 14.25

49.875 = 49.88  ( rounding to the nearest cent)

Add together

380+49.88 =429.88

* * +:) help .........

Answers

1. -11     2.-3

Make sure to simplify the equation..

example: 3(2x - 7) = 6x - 21

because 3 x 2 = 6 and 3 x 7 = 21

3/4 + z = 5/6 what does z equal​

Answers

Answer:

1/12

Step-by-step explanation:

3/4 + z = 5/6

Subtract 3/4 from each side

3/4 -3/4+ z = 5/6-3/4

z = 5/6 -3/4

Get a common denominator of 12

z = 5/6 *2/2 -3/4 *3/3

z = 10/12 - 9/12

z = 1/12

Lcm of 4 and 1 is 4
So, 3/4(4)+z(4)=5/6(4)
3+4z=20/6
4z=(20/6)-3
4z= 2
Z=1/2


Please answer this question now

Answers

Answer:

112°

Step-by-step explanation:

Angle A is an inscribed angle that intercepts arc BCD.

Therefore:

m<A = ½ of arc BCD (Inscribed Angle Theorem)

Arc BCD = BC + CD = 146 + CD

An equation can be written to enable us find the measure of arc CD. See below:

Let x = measure of arc CD

Thus,

129° = ½(146 + x)

Solve for x

129*2 = 146 + x

258 = 146 + x

Subtract 146 from both sides of the equation.

258 - 146 = x

112 = x

x = measure of arc CD = 112°

4 (hx - 1) -3 (x +h) ≡ 5 (x + k)
Work out the value of h and k
H and k are integer constants

Answers

Answer:

        4hx - 8x - 3h - 4

k  =  ------------------------

                  5

            8x + 5k + 4

h  =  ------------------------

              4x - 3

Step-by-step explanation:

4 (hx - 1) - 3 (x + h) = 5 (x + k)

4hx - 4 - 3 (x + h) = 5 (x + k)

4hx - 4 - 3x - 3h = 5 (x + k)

4hx - 4 - 3x - 3h = 5x + 5k                   add 3h both sides

4hx - 4 - 3x - 3h + 3h = 5x + 5k + 3h   simplify

4hx - 4 - 3x = 5x + 5k + 3h                   add 4 both sides

4hx - 4 - 3x + 4 = 5x + 5k + 3h + 4       simplify

4hx - 3x = 5x + 5k + 3h + 4                  subtract 5x from both sides

4hx - 3x - 5x = 5x + 5k + 3h + 4 - 5x   simplify

4hx - 8x = 5k + 3h + 4                          

4hx - 8x - 3h - 4 = 5k  

      4hx - 8x - 3h - 4

k  =  ------------------------

                5

solving for h;

4hx - 3h = 8x + 5k + 4

h(4x - 3) = 8x + 5k + 4

          8x + 5k + 4

h  =  ------------------------

            4x - 3

The value of h and k are h = (8x + 5k + 4) / (4x - 3) and k = (4hx - 8x - 3h - 4) / 5 respectively

Given:

4 (hx - 1) -3 (x +h) ≡ 5 (x + k)

open parenthesis

4hx - 4 - 3x - 3h = 5x + 5k

4hx - 4 - 3x - 3h - 5x - 5k = 0

4hx - 8x - 3h - 5k - 4 = 0

For k

4hx - 8x - 3h - 4 = 5k

[tex]k = (4hx - 8x - 3h - 4) / 5[/tex]

For h

4hx - 8x - 3h - 5k - 4 = 0

4hx - 3h = 8x + 5k + 4

h(4x - 3) = 8x + 5k + 4

[tex]h = (8x + 5k + 4) / (4x - 3)[/tex]

Therefore, the value of h and k are h = (8x + 5k + 4) / (4x - 3) and k = (4hx - 8x - 3h - 4) / 5 respectively

Read more:

https://brainly.com/question/21406377

A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 84 feet and its width from left to right is 42 feet. Find an equation for the parabola if the vertex is put at the origin of the coordinate system. (

Answers

Answer:

Step-by-step explanation:

Because of the nature of the information we are given, we have no choice but to use the equation

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

and solve for a.

We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:

[tex]0=a(21-0)^2+84[/tex] and simplifying a bit:

0 = 441a + 84 and

-84 = 441a so

[tex]a=-\frac{84}{441}=-\frac{4}{21}[/tex] Good, a is negative. Your equation is, then:

[tex]y=-\frac{4}{21}x^2+84[/tex]

Answer:

x² = -21y

Step-by-step explanation:

THIS IS THE RIGHT ANSWER I TOOK THE TEST

Evaluate 2^2⋅4^3=

Your answer


Answers

Answer:

256

Step-by-step explanation:

First, handle the exponent:

2²=4 (2*2=4)     and     4³=64 (4*4=16*4=64)

Now multiply those two outcomes:

4*64=256

This equation is also known as 4⁴


Find the measure of each angle indicated. Round to the nearest tenth.
A) 49°
C) 38.1°
B) 44.90
D) 42.89

Can you please help explain how to find the answer​

Answers

Answer:

D

Step-by-step explanation:

So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.

Recall that:

[tex]\sin(\theta)=opp/hyp[/tex]

Plug in 10.2 for the opposite side and 15 for the hypotenuse:

[tex]\sin(\theta)=10.2/15[/tex]

Solve for θ. Use a calculator:

[tex]\theta=\sin^{-1}(10.2/15)\\\theta\approx42.8436\textdegree[/tex]

The answer is D.

In a survey of 119 students, it was found that 16 drink neither coke nor Pepsi 69 drinks coke and39 drink pepsi
How many students drink Coke only?
How many students drink Pepsi only?
Show the above information in a Venn diagram.​

Answers

Answer:

64 students drink coke only

34 students drink pepsi only

Step-by-step explanation:

Here, we want to know the number of students that drink coke only and number of students that drink pepsi only.

Let the number of students that drink both be x

Mathematically,

n(μ) = 119 where μ represents the universal set

n(P) = 39

n(C) = 69

n(C n P) = x

n(C n P)’ = 16

n(P) only = 39 - x

n( C) only = 69 - x

Mathematically;

119 = (69-x) + (39-x) + x + 16

119 = 69 + 39 + 16 -2x + x

119 = 124 - x

x = 124 - 119

x = 5

So the number of students drinking pepsi only = 39 -5 = 34

The number of students drinking coke only = 69-5 = 64

**50 points Once again and brainliest** Please hurry ;w;

Answers

Answer:

Part A:

Two types of translation are;

1) Horizontal translation left T(0, 8),

2) Vertical translation T(16, 0)

Part B:

For the horizontal translation transformation, k = 8

For the vertical translation transformation, k = 16

Part C:

For the horizontal translation transformation, the equation is f(x + 8) = g(x)

For the vertical translation transformation, the equation is f(x) + 16 = g(x)

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Part A

We can shift f(x) up to g(x)

or we can shift f(x) to the left into g(x)

Part B

y = f(x) + k  k > 0 moves it up

f(x) goes from -1 to 17 for a distance of 18 units

We are moving up 18 units

k = 18

y = f(x + k) k> 0 moves it left

We are moving to the left from 0 to -6 units for a distance of 6 units

k = 6

Part C

Up:

g(x) = f(x) +18

Left:

g(x) = f(x+6)

Complete the Magic Square.

Answers

Answer:

+5

Step-by-step explanation:

So you can see the 5 pattern, so you add 9+5= 14 which goes in the middle square and 14+5=18 in the left square

Now between 18 and 11 it is 7 so you subtract 7 which equals 4 then - 5= -1 then -5= -6

Answer:

4  5  9

11  6  1

3  7  8

Step-by-step explanation:

In a magic square, all rows, columns, and diagonals have the same sum.

Let's call the cells a - i this way:

a  b  c

d  e  f

g  h  i

Now lets's fill in what we have:

a  b  9

11  6  1

g  h  i

2nd row: 11 + 6 + 1 = 18

3rd column: 9 + 1 + i = 18; i = 8

a  b  9

11  6  1

g  h  8

Main diagonal: a + 6 + 8 = 18; a = 4

4  b  9

11  6  1

g  h  8

1st row: 4 + b + 9 = 18; b = 5

4  5  9

11  6  1

g  h  8

1st column: 4 + 11 + g = 18; g = 3

4  5  9

11  6  1

3  h  8

2nd column: 5 + 6 + h = 18; h = 7

4  5  9

11  6  1

3  7  8

Graph the solution to the following linear inequality in the coordinate plane 5x-y>-3

Answers

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

      -y > -5x  -  3

       y < 5x + 3

2. Plot a few points for the "y =" line

I chose

[tex]\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}[/tex]

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<",  to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made 16of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank? Hint: You do not divide the volume of the main show tank by 6.

Answers

Answer:

see below

Step-by-step explanation:

If the original dimensions of the tank are x, y, and z, the mock dimensions will be 1/6x, 1/6y and 1/6z. The volume of the original tank is x * y * z = xyz whereas the volume of the mock-up tank is 1/6x * 1/6y * 1/6z = 1/216 * xyz. Therefore, we know that the volume of the mock-up tank is 1/216 th of the original tank.

Convert the mixed number to an improper fraction 1 13/15

Answers

28/15 is the answer brodi

━━━━━━━☆☆━━━━━━━

▹ Answer

28/15

▹ Step-by-Step Explanation

[tex]1\frac{13}{15} \\\\1 * 15 = 15\\15 + 13 = 28\\\\\\= \frac{28}{15}[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

f(x) = x^2. What is g(x)?

Answers

g(x) = ax^2
y = ax^2
16 = a1^2
a = 16

Therefore, g(x) = 16x^2

Factor x^4+xy^3+x^3+y^3 completely showing work.

Answers

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]x^4+xy^3+x^3+y^3\\\\=x^3*x+x*y^3+x^3+y^3\\\\=x(x^3+y^3)+x^3+y^3\\\\\boxed{=(x+1)(x^3+y^3)}\\[/tex]

Thank you

What is the solution to this system of equations?
5x + 2y = 29
x + 4y= 13

Answers

Answer:

x = 4.5

y = 3.25

Step-by-step explanation:

Use elimination

5x + 2y = 29

x + 4y = 13 (-5)

4y(-5) = 13(-5)

2y = 29

-20y = -65

y = 3.25

Sub it back into the equation

5x + 6.50 = 29

5x = 22.5

x = 4.5

Jess receives a $15000 salary for working as an engineer. If Jess has to spend $6000 of her salary on expenses each year, then what percent of Jess's money does she have to spend? Round your answer to the nearest whole number if necessary.

Answers

Answer:

Jess will have to spend 40% of her salary

Step-by-step explanation:

Jess salary = $15,000

Jess expenses = $6,000

what percent of Jess's money does she have to spend

Percentage of Jess expenses = Jess expenses / Total salary × 100

= 6,000 / 15,000 × 100

= 0.4 × 100

= 40%

Jess will have to spend 40% of her salary

(2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i)

Answers

Answer:

50+50i

Step-by-step explanation:

Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.

Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)

On expansion

(3 - i)(3 + i)

=  9+3i-3i-i²

= 9-(-1)

= 9+1

(3 - i)(3 + i) = 10

For the expression (2 + i)(1 - i), we have;

(2 + i)(1 - i)

= 2-2i+i-i²

= 2-i+1

= 3-i

Multiplying 3-i with the last expression (1 + 2i)

(2 + i)(1 - i)(1 + 2i)

= (3-i)(1+2i)

= 3+6i-i-2i²

= 3+5i-2(-1)

= 3+5i+2

= 5+5i

Finally,  [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]

= 10(5+5i)

= 50+50i

Hence,  (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i

On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points, P and Q

Answers

Answer:

approximately 9.2195

Step-by-step explanation:

We can use Pythagorean theorem

one leg is 7 and the other leg is 6

square them

49 and 36

add

85

square root

approximately 9.2195

If paul puts 300 dollars in a saving account that earns 3% interest how much interest will he earn after 2 years?​

Answers

Answer:

[tex] \boxed{18 \: dollars}[/tex]

Step-by-step explanation:

Principal ( P ) = $ 300

Rate ( R ) = 3%

Time ( T ) = 2 years

Now, let's find the simple Interest:

I = [tex] \mathsf {\frac{PTR}{100} }[/tex]

[tex] \mathsf{ = \frac{300 \times 2 \times 3}{100} }[/tex]

[tex] \mathsf{ = \frac{1800}{100} }[/tex]

[tex] \mathsf{ = 18}[/tex]

Extra information:

Simple Interest

In our daily life when we borrow a sum of money either from a moneylender or from any financial company, we have to pay the money back by adding with extra sum of money. This borrowed money is called principal. The extra money to be paid for the borrowing money is called interest , which is paid after certain duration in certain rate. At last, the borrowed money should be paid back along with interest which is called amount.

Interest is based on three factors : Principal ( P ) , Rate of interest ( R ) and Time ( T ). While computing the interest, the rate must be in percent and time in years.

[tex] \mathsf{ \: simple \: interest \: = \frac{PTR}{100} }[/tex]

On simplifying

[tex] \mathsf{p = \frac{I \times 100}{T \times R} }[/tex]

[tex] \mathsf{t = \frac{I \times 100}{P \times R} }[/tex]

[tex] \mathsf{r = \frac{I \times 100}{P \times T}} [/tex]

And from the definition,

Amount ( A ) = Principal ( P ) + Interest ( I )

Principal ( P ) = Amount ( A ) - Interest ( I )

Interest ( I ) = Amount ( A ) - Principal ( P )

Hope I helped!

Best regards!

Answer:$18

Step-by-step explanation:3% of $300 is $9.$9 is the interest of 1 year so the interest of 2 years is 2 multiplied by 9 which is $18.

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When Ira purchased 500 shares of prefeHallie owns 20% of the common stock of the Bean Brothers Coffee Company. The company announced plans to offer an additional 10,000 shares of common stock for sale. If Hallie exercises her preemptive rights, Bean Brothers must offer her the opportunity to purchase stock in the Fairlawn Corporation, his certificate indicated the stock had a par value of $50 per share. This means that Ira:________. if you cant take your heart rate, a good way to recognize that your exercising efficiently is whether or not can somewon help me plz Find mWVT. A. 40 B. 45 C. 53 D. 50 Read the excerpt from the novel, The Mysteries of Udolpho, below, which has a theme tofear. Write a multi-paragraph essay analyzing how the author develops the concept of feSource 1Excerpt from "The Mysteries of Udolpho," by Ann RadcliffeThe extent and darkness of these tall woods awakened terrific images in Emily's mind, andshe almost expected to see bandits start up from under the trees. At length, the carriagesemerged upon a heathy' rock, and, soon after, reached the castle gates, where the deep tone ofthe portal bell, which was struck upon to give notice of their arrival, increased the fearful emotionsthat had assailed Emily2 While they waited till the servant within should come to open the gates, she anxiouslysurveyed the edifice 2 but the gloom that overspread it allowed her to distinguish little more than apart of its outline with the massy walls of the ramparts and to know that it was vast, ancient anddrearyIn your response, be sure to Explain how the theme topic is developed Include at least two specific pieces of evidence; Include what is directly stated and what is implied in the passage3 From the parts she saw, she judged of the heavy Strength and extent of the whole. Thegateway before her, leading into the courts, was of gigantic size, and was defended by two roundtowers, crowned by overhanging turrets, embattled, where instead of banners, now waved longgrass and wild plants that had taken root among the mouldering stones, and which seemed tosigh, as the breeze rolled past over the desolation around themYour response should be in the form of an organized, well-developed, multi-paragraph esuses appropriate grammar and punctuation What were the causes of the English Civil War?? HELPPPP ASAPPP !!!!! Artificial intelligence (AI) refers to the intelligence of machines. The term also refers to the developing field of computer science that is responsible for creating intelligent machines. Scientists and engineers are working on computer software intended to imitate the human thought process, such as learning and reasoning. A computer can already do some things better than people, such as store information, solve numerical problems, and complete repetitive tasks. Computers have been able to perform these kinds of tasks by using algorithms, which are clearly defined sets of instructions. In contrast, AI software only presents a problem to the computer, not the steps necessary to solve the problem. The computer itself determines how to solve the problem. AI programs contain two essential components. First, the computer program must contain a knowledge base that includes different types of information, such as facts, concepts, and theories. The second component is enabling the computer to draw inferences, which means that the computer can form a conclusion based on facts and knowledge. In this scenario, a computer with AI intelligence is presented with a problem to be solved. The computer then searches its knowledge base for specific conditions or patterns that fit the problem to be solved. This ability of AI programs to solve a problem based on facts rather than on a fixed series of steps is what mimics the thought process of a human brain. Whether or not a computer can really think is still up for debate, even though there are numerous examples of machines that can be said to resemble human intelligence. For example, IBM developed Deep Blue, a chess-playing computer that defeated Garry Kasparov in 1997. However, even these kinds of computer programs are limited because they can only do what they have been programmed to do. Most scientists and researchers agree that machines currently lack the subtlety and range of human thought. However, as AI technology develops, more questions and debate will surely arise. The most important issue going forward is how AI technology can best serve the humans who created it. What does the author assume about the intended audience of the article? A. that readers are unfamiliar with computer programs B. that readers are capable of performing algorithms C. that readers are capable of programming computers D. that readers are new to the concept of AI programs young apple-tree, which, planted by birds or cows, had shot up amid the rocks and open woods there, and had now much fruit on it, uninjured by the frosts, when all cultivated apples were gathered. It was a rank wild growth, with many green leaves on it still, and made an impression of thorniness. The fruit was hard and green, but looked as if it would be palatable in the winter. Some was dangling on the twigs, but more half-buried in the wet leaves under the tree, or rolled far down the hill amid the rocks. The owner knows nothing of it. The day was not observed when it first blossomed, nor when it first bore fruit, unless by the chickadee. There was no dancing on the green beneath it in its honor, and now there is no hand to pluck its fruit,which is only gnawed by squirrels, as I perceive. It has done double duty,not only borne this crop, but each twig has grown a foot into the air. And this is such fruit! Bigger than many berries, we must admit, and carried home will be sound and palatable next spring. What care I for other apples so long as I can get these? 2 When I go by this shrub thus late and hardy, and see its dangling fruit, I respect the tree, and I am grateful for Natures bounty, even though I cannot eat it. Here on this rugged and woody hillside has grown an apple-tree, not planted by man, no relic of a former orchard, but a natural growth, like the pines and oaks. Most fruits which we prize and use depend entirely on our care. Corn and grain, potatoes, peaches, melons, etc., depend altogether on our planting; but the apple emulates mans independence and enterprise. It is not simply carried, as I have said, but, like him, to some extent, it has migrated to this New World, and is even, here and there, making its way amid the aboriginal trees; just as the ox and dog and horse sometimes run wild and maintain themselves. 3 Even the sourest and crabbedest apple, growing in the most unfavorable position, suggests such thoughts as these, it is so noble a fruit. Excerpt from "Wild Apples" by Henry David Thoreau. In the public domain. I Hear America Singing by Walt Whitman I hear America singing, the varied carols I hear, Those of mechanics, each one singing his as it should be blithe and strong, The carpenter singing his as he measures his plank or beam, The mason singing his as he makes ready for work, or leaves off work, 5The boatman singing what belongs to him in his boat, the deckhand singing on the steamboat deck, The shoemaker singing as he sits on his bench, the hatter singing as he stands, The wood-cutters song, the ploughboys on his way in the morning, or at noon intermission or at sundown, The delicious singing of the mother, or of the young wife at work, or of the girl sewing or washing, Each singing what belongs to him or her and to none else, 10The day what belongs to the dayat night the party of young fellows, robust, friendly, Singing with open mouths their strong melodious songs. "I Hear America Singing" by Walt Whitman, from Leaves of Grass. In the public domain. Question 1 Which sentence BEST states the authors point of view regarding people who are ambitious? A It was a rank wild growth, with many green leaves on it still, and made an impression of thorniness. B Some was dangling on the twigs, but more half-buried in the wet leaves under the tree, or rolled far down the hill amid the rocks. C Most fruits which we prize and use depend entirely on our care. D It is not simply carried, as I have said, but, like him, to some extent, it has migrated to this New World, and is even, here and there, making its way amid the aboriginal trees. Suppose you drop paperclips into an open cart rolling along a straight horizontal track with negligible friction. As a result of the accumulating paper clips, explain whether the momentum and kinetic energy increase, decrease, or stay the same. National Association of Social Workers, Council on Social Work Education, and the International Federation of Social Workers all endorse a(n) _____-oriented view of social work. An HR manager asked every candidate during an interview to describe a situation in the past in which they had to display their leadership abilities even though they were not a formal leader, discuss what they did, and describe the result. This is an example of which external assessment method the circumference of a circle is 20 pi. what is the radius of this circle? GIVING 30 POINTS! URGENT. The map shows the development of the Roman Empire. How can the Roman Emprie's expansion be described? A) It reached every continent. B) It doubled the size of the republic. C) Roman rule finally reached Africa. D) Growth in Asia was reduced. var tax = .07;var getCost = function(itemCost, numItems) {var subtotal = itemCost * numItems;var tax = 0.06;var total = subtotal + subtotal * tax;return (total);}var totalCost = getCost(25.00, 3);alert("Your cost is $" + totalCost.toFixed(2) + " including a tax of " +tax.toFixed(2));Which variable represents the function expression?a. totalCostb. getCostc. itemCostd. total If the normality requirement is not satisfied (that is, np(1p) is not at least 10), then a 95% confidence interval about the population proportion will include the population proportion in ________ 95% of the intervals. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) When convertible preferred stock is converted into common stock:______. a. cash is debited. b. a gain or loss can be recognized. According to the website www.costofwedding, the average cost of flowers for a wedding is $698. Recently, in a random sample of 40 weddings in the U. S. it was found that the average cost of the flowers was $734, with a standard deviation of $102. On the basis of this, a 95% confidence interval for the mean cost of flowers for a wedding is $701 to $767.Choose the statement that is the best interpretation of the confidence interval. I. That probability that the flowers at a wedding will cost more than $698is greater than 5%. II. In about 95%of all samples of size 40,the resulting confidence interval will contain the mean cost of flowers at weddings. III. We are extremely confident that the mean cost of flowers at a wedding is between $701and $767 A) II only B) I only C) III only D) II and III are both correct A charity organization is holding a food drive with a goal to collect at least 1,000 cans offood by the end of the month. It currently has 565 cans from donations and is having anevent where 87 guests will attend and bring cans. Which solution set represents thenumber of cans each guest must bring to meet the goal?+OA++012345678910---+OB. 4+012345678910OC.+1235678910OD. ++++-6+7.+0123458910 __is a mechanical force generated by a solid object moving through a fluid. in 2003 the toyota camry was the top selling passenger vehicle in the united states followed by the honda accord there was 35,000 fewer honda accords than toyota camrys sold in the us in 2003 total sales for the two models together equaled 833,000 that year how many of