Which of these functions could have been the graph shown below?

Which Of These Functions Could Have Been The Graph Shown Below?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

we take the only point we know

(0,20)

in A when x =0

[tex]f(x)=e^{20x} =e^{20*0}=1[/tex]

in B when x=0

[tex]f(x)=20e^x=20e^0=20*1=20[/tex]

fits

in C

[tex]f(x)=20^x=20^0=1[/tex]

in D

[tex]f(x)=20^{20x}=20^{20*0}=20^0=1[/tex]

so the only choice is B


Related Questions

PLEASE ANSWER!!! Brainliest to whoever answers at first!Order the following expressions by their values from least to greatest.

Answers

Answer:

  -j, 0, j-k

Step-by-step explanation:

j is a positive number, so -j will be less than 0.

j is a number greater than k, so j - k will be greater than 0.

From least to greatest, the order is ...

  -j, 0, j-k

Answer:

Step-by-step explanation:

convert 407 in base 8 to decimal​

Answers

[tex]4\cdot8^2+0\cdot8^1+7\cdot8^0=256+7=263[/tex]

[tex]407_8=263_{10}[/tex]

A special mixed-nut blend at a store cost $1.35 per lb, and in 2010 the blend cost $1.83 per lb. Let y represent the cost of a pound of the mixed-nut blend x years after 2005. Use a linear equation model to estimate the cost of a pound of the mixed-nut blend in 2007.

Answers

Answer:

y = $1.542 per lb

Step-by-step explanation:

given data

mixed-nut blend store cost  2005 = $1.35 per lb

blend cost in 2010 = $1.83 per lb

solution

we consider here y = cost of a pound

and x year = after 2005

we will use here linear equation model

so

[tex]\frac{y - 1.35}{1.83-1.35} = \frac{x-10}{5 - 0}[/tex]    .........................1

solve it we get

5y - 6.75 = .48 x

so

at 2007 year here x wil be 2

so

[tex]y = \frac{0.48 \times 2 + 6.75}{5}[/tex]  

solve it we get

y = $1.542 per lb

36x7 please EXPLAIN the process of the multiplication plse

Answers

36×7

=252

Explaination :

First Multiply 6 and 7 we get 42 !

Write 2 and 4 will be added to the product of 3×7

We get 21 and add 4 here

So we get 252

Answer:

[tex]36 \times 7 = 252[/tex]

Step-by-step explanation:

Firstly multiply 6 with 7 you have to write 2 and take 4 carry and then multiply 7 with 3 u get 21 now add the number u carry in 21 u get ur answer. 252.

Hope it helps u mate

5(y–3.8)=4.7(y–4) help help

Answers

Answer:

y = 2/3 or 0.667

Step-by-step explanation:

5(y–3.8)=4.7(y–4)

Expand the terms in the bracket

That's

5y - 19 = 4.7y - 18.8

Group like terms

5y - 4.7y = 19 - 18.8

0.3y = 0.2

Divide both sides by 0.3

We have the final answer as

y = 2/3 or 0.667

Hope this helps you

(Score for Question 1: ____ of 5 points)
1. The equation of a circle is x2 + y2 - 4x + 2y - 11 = 0. What are the center and the radius of the circle?
Show your work
Answer:)

Answers

Answer:

The center of the circle:

(2, -1)

The radius of the circle:

r = 4

Step-by-step explanation:

The first step is to complete the square on both x and y:

x^2 + y^2 -4x + 2y - 11 = 0

x^2 -4x +y^2 +2y = 11

We determine c1 to complete the square on x:

c1 = (b/2)^2

c1 = (-4/2)^2 = 4

We then determine c2 to complete the square on y:

c2 = (2/2)^2 = 1

The equation of the circle is then re-written as:

x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1

We then factorize the expressions in x and y separately:

(x-2)^2 + (y +1)^2 = 16

The center of the circle is thus:

(2, -1)

The radius is the square root of 16:

r = 4

Answer:

center :  (2, -1)

radius :  r = 4

Step-by-step explanation:

3.85∙47.3+52.7∙3.85 PLSSSSS HELP

Answers

Answer:

385

Step-by-step explanation:

please help solving.​

Answers

Answer:

right machine first, then left.6 into left machine, then right

Step-by-step explanation:

a) Putting 6 into the first (left) machine will give an output of ...

  y = √(6 -5) = √1 = 1

Putting 1 into the second (right) machine will give an output of ...

  y = 1² -6 = -5

This answers the second question, but not the first question.

__

If we put 6 into the right machine first, we get an output of ...

  y = 6² -6 = 30

Putting 30 into the left machine, we get an output of ...

  y = √(30 -5) = √25 = 5 . . . . . the desired output.

The input must go into the right machine first, then its output goes into the left machine to get a final output of 5 from an input of 6.

__

b) The left machine cannot produce negative outputs, so achieving an output of -5 with the arrangement used in part A is not possible. (green curves in the attached graph)

However, as we have shown above, inputting 6 to the left machine first, following that by processing with the right machine, can produce an output of -5. (purple curve in the attached graph)

ASAP HELP WILL MARK BRAINLIEST

Answers

Answer:

c(x)=(3/4)^x

(3/4)^-2= 16/9

(3/4)^-1 =4/3

(3/4)^0=1

(3/4)^1 = 3/4

(3/4)^2= 9/16

The dance team is selling headbands to raise
money for dance team jackets. They need
to sell 1,260 headbands. The headbands must
be divided equally among the three coaches.
Each coach is in charge of 10 dancers. If all
the headbands must be sold, how many
headbands will each dancer on the team
need to sell?

Answers

Answer:

42  headbands per dancer

Step-by-step explanation:

Selling 1260 headband

Divide by the three coaches

1260/3

420 per coach

Divide by each dancer under a coach

420/10 = 42

Each dancer must sell 42 headbands

To which set of numbers does the number sqr rt-16 belong? Select all that apply

Answers

Answer:

The square root of -16 is an imaginary number and a complex number. Sqrt(-16)=4i. We use the i to indicate that the number is imaginary since there is no number that can be multiplied by itself to get a negative number (a negative times a negative is a positive, and a positive times a positive is also a positive). So the use of i tells you immediately that it's an imaginary number. You can tell the number is complex because it has both a real and an imaginary part and could be written in the form a+bi, where a is a real number and bi is an imaginary number. In this specific case, the real part (a) is 0 and the imaginary part (bi) is 4i.

Step-by-step explanation:

Calculate the derivative of the function. Then find the value of the derivative as specified:
f(x) = 5x + 9; f "(2)
A) f "(x) 0,f , (2)-0
B) f , (x)-9; f , (2) = 9
C)f"(x) = 5; f "(2) = 5
D) f '(x) 5x; f '(2) 10

Answers

The correct question is;

Calculate the derivative of the function. Then find the value of the derivative as specified:

f(x) = 5x + 9; f '(2)

A) f'(x) = 0; f'(2) = 0

B) f'(x) = 9; f '(2) = 9

C)f'(x) = 5; f'(2) = 5

D) f '(x) = 5x; f '(2) = 10

Answer:

Option C: f'(x) = 5 and f '(2) = 5

Step-by-step explanation:

We want to find the derivative of f(x) = 5x + 9.

Now, the derivative with respect to x will be;

f'(x) = 5

Now,we also want to find out f'(2)

This means we are to put 2 for x in the derivative function.

In the derivative function, we don't have x as we have just 5.

Thus,f'(2) = 5

What is the area of the house (including the drawing room, TV room, balcony, hallway, kitchen, and bedroom)?

Answers

Answer:

1256 i think

Step-by-step explanation:

What happens to the probability of making a Type II​ error, beta​,as the level of​ significance, alpha​,​decreases? Why?

Answers

Answer:

Lowering the level of significance, α increases the probability of making a Type II error, β.

Step-by-step explanation:

Lowering the level of significance, α increases the probability of making a Type II error, β.

This is because the region of acceptance becomes bigger, and it makes it less likely for one to reject a null hypothesis, when it is false, the type II error.

Find the sum of (5x3 + 3x2 - 5x + 4) and (8x3 -5x2 + 8x + 9)

Answers

Answer:

(5x³+3x²-5x+4) + (8x³-5x²+8x+9)

= 5x³+3x²-5x+4 +8x³-5x²+8x+9

= 5x³+8x³+3x²-5x²-5x+8x+4+9

= 13x³-2x²+3x+13

Hope this helps

if u have question let me know in comments ^_^

What are the solutions to the system of equations? {y=2x2−8x+5y=x−2 (3.5, 0.5) and (1, −1) (7, 5) and (0.5, −1.5) (3.5, 1.5) and (1, −1) (3.5, 1.5) and (−1, −3)

Answers

Answer:

[tex](1,-1)[/tex] and [tex](3.5,1.5)[/tex]

Step-by-step explanation:

Given

[tex]y = 2x^2 - 8x+5[/tex]

[tex]y = x - 2[/tex]

Required

Determine the solution

Substitute x - 2 for y in [tex]y = 2x^2 - 8x+5[/tex]

[tex]x - 2 = 2x^2 - 8x+5[/tex]

Collect like terms

[tex]0 = 2x^2 - 8x - x + 5 + 2[/tex]

[tex]0 = 2x^2 - 9x + 7[/tex]

Expand the expression

[tex]0 = 2x^2 - 7x - 2x+ 7[/tex]

Factorize

[tex]0 = x(2x - 7) -1(2x - 7)[/tex]

[tex]0 = (x-1)(2x - 7)[/tex]

Split the expression

[tex]x - 1 = 0[/tex] or [tex]2x - 7 = 0[/tex]

Solve for x in both cases

[tex]x = 1[/tex] or [tex]2x = 7[/tex]

[tex]x = 1[/tex] or [tex]2x/2 = 7/2[/tex]

[tex]x = 1[/tex] or [tex]x = 3.5[/tex]

Recall that

[tex]y = x - 2[/tex]

When [tex]x = 1[/tex]

[tex]y = 1 -2[/tex]

[tex]y = -1[/tex]

When [tex]x = 3.5[/tex]

[tex]y = 3.5 - 2[/tex]

[tex]y = 1.5[/tex]

Hence, the solution is;

[tex](1,-1)[/tex] and [tex](3.5,1.5)[/tex]

Examine the diagram. Triangle M P L. Angle P is 90 degrees and angle L is (4 x + 6) degrees. The exterior angle to angle M is 136 degrees. What is the value of x?

Answers

Answer:

x = [tex]10^{0}[/tex]

Step-by-step explanation:

From Δ MPL given that; <P = [tex]90^{0}[/tex], exterior angle to M = [tex]136^{0}[/tex] and <L = [tex](4x+6)^{0}[/tex].

In the triangle, the exterior angle is equal to the sum of the two adjacent interior angles. So that;

[tex]136^{0}[/tex] = [tex]90^{0}[/tex] + [tex](4x+6)^{0}[/tex]

      = [tex]90^{0}[/tex] + 4[tex]x^{0}[/tex] + [tex]6^{0}[/tex]

[tex]136^{0}[/tex] = [tex]96^{0}[/tex] + [tex]x^{0}[/tex]

⇒      4[tex]x^{0}[/tex] = [tex]136^{0}[/tex] - [tex]96^{0}[/tex]

        4[tex]x^{0}[/tex]  = [tex]40^{0}[/tex]

Divided both sides by 4 to have;

[tex]x^{0}[/tex] = [tex]10^{0}[/tex]

The value of x is [tex]10^{0}[/tex].

Answer:

The correct answer is in fact 10 degrees.

Step-by-step explanation:

I hope this helps!

Have a great day! :)

Find n for the arithmetic sequence for which sn=345, u1=12 and d = 5 .

Answers

Answer:

n = 10

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 and [tex]S_{n}[/tex] = 345, thus

[tex]\frac{n}{2}[/tex] [ (2 × 12) + 5(n - 1) ] = 345 ( multiply both sides by 2 )

n( 24 + 5n - 5) = 690 ← distribute and simplify left side

n(19 + 5n) = 690

19n + 5n² = 690 ( subtract 690 from both sides )

5n² + 19n - 690 = 0 ← in standard form

(5n + 69)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

5n + 69 = 0 ⇒ 5n = - 69 ⇒ n = - [tex]\frac{69}{5}[/tex]

n - 10 = 0 ⇒ n = 10

However, n > 0 , thus n = 10

The local bowling alley pays you
$7.25 per hour to manage the desk.
Last week you worked 16 hours.
What is your straight-time pay?

Answers

Answer:

my straight time payment will be $116 for last week

Step-by-step explanation:

The local bowling alley pays

$7.25 per hour to manage the desk.

If worked 16 hours, my straight time payment will be

Rate= $7.25 per hour

Hour worked= 16 hours

my straight time payment = rate*hour worked

my straight time payment = 7.25*16

my straight time payment = 166.00

my straight time payment will be $116

-50 POINTS- (2/5) please no wrong answers for points. A) y = [tex]\frac{9}{2}[/tex] x + [tex]\frac{1}{2}[/tex] B) y = - [tex]\frac{1}{2} x + \frac{7}{2}[/tex] C) [tex]y = -4x +9[/tex] D) [tex]y=4x+15[/tex]

Answers

This problem is about creating a linear regression model.

First, we should take note of the points:

(-4,8)

(-2,4)

(-1,2)

(1,5)

(2,2)

(6,-5)

(7,6)

It's necessary to find a equation y = ax + b that brings us the least MSE (Mean Squared Error). You can calculate at hand, but I bet it is going to be tiresome.

So, basically intuitively you just need to choose a line that fits closer to the given points.

First: remember if y = ax+b, a is the slope which means if a > 0 the line is " / " and a < 0 the line is " \ ".

A) No, this equation is " / "

B) It could be this one.

C) It could be this one too.

D) Nope. " / "

B) a = -1/2

C) a = -4

You can draw those two lines and see that B) gets closer to the points.

Equation:

Y = -0.4957*X + 3.780

Answer: B)

Answer:

[tex]\Large \boxed{y=-\frac{1}{2} x+\frac{7}{2} }[/tex]

Step-by-step explanation:

Using a graph,

we can see that the line y = -1/2x + 7/2 best fits for the data.

Which quadratic equation would be used to solve for the unknown dimensions?

0 = 2w2
512 = w2
512 = 2w2
512 = 2l + 2w

Answers

Answer:

C

Step-by-step explanation:

Answer:

C: 512 = 2w2

Step-by-step explanation:

on edge

Given f(x) = –2x+5 find f'(x).
a f'(x)=- 5x+1.5
b.
x 5
2 2
f'(x) =
C. f'(x) = 2x-5
d.
x 5
2 2
f'(x) -- +
R
Please select the best answer from the choices provided
B.
ОООО
D

Answers

Answer: D

Step-by-step explanation:

To find the inverse function, you switch y with x and x with y. Then you solve for y.

y=-2x+5               [replace y with x and x with y]

x=-2y+5               [subtract both sides by 5]

x-5=-2y                 [divide both sides by -2]

(x-5)/-2=y

Now that we have our inverse function, we can rewrite it so that it matches the answer choice. D matches our answer choice the best.

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps
west and finally 50 steps on a bearing of 3150
.
i. Sketch Musah’s movement [Mark 4]
ii. How far west is Musah’s final point from the centre?

Answers

Answer:

Inokkohgy8uokokj76899

Musah stands at the center of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°. Sketch musah's movement. How far west is musah's final point from the center?

Answers

Answer:  4.17 steps

Step-by-step explanation:

Draw a point to use as the center and then sketch 50 units north (up) and 25 units west (left) and 315° which creates a right triangle that has an angle of 360° - 315° = 45°

Use Pythagorean Theorem to find the length of the hypotenuse.

50² + 25² = hypotenuse²   --> hypotenuse = 55.9 units

Since Musah only walked 50 units along the hypotenuse, he is 5.9 units from the center.

Create another right triangle using the remaining 5.9 units as the hypotenuse.  You can use 45°-45°-90° rules OR sin 45° to find the horizontal distance from the center to be 4.17.

see attachment for sketch

What fraction of a pound is an ounce?

Answers

Answer:

1/16

Step-by-step explanation:

there are 16 ounces in a pound

Answer:

1/16 pounds

Step-by-step explanation:

4/2÷4/7? plz help me ​

Answers

Answer:

2

Step-by-step explanation:

4/2÷4/7

= 4/2 × 7/4

= 28/14

= 2

in the diagram,QOS and ROU are straight lines.OT is the bisector of angle UOS. Angle POQ and angle QOR are complementary angles. Find the values of x and y.​pleaseeee answer sooonnn

Answers

Answer:

x=50° and y=45°

Step-by-step explanation:

x=QU(90°)-QP(40°)

x=50°

y=SU(90°)/2

y=45°

Which relation is a function?

Answers

Answer:

The second graph is a function.

Step-by-step explanation:

This is the only one that passes the vertical line test.

(If there exits a vertical line which passes through more than one point, then the relation is NOT a function).

Are you able to find tri-sector (equally divided by 3) rays for an arbitrary angle with straightedge-and-compass construction?

Answers

Answer:

Step-by-step explanation:

No, it is an ancient problem which has been proved to be impossible (in 1837), at least not for an arbitray angle.

However, we can trisect certain angles, such as 90 degrees, but rather than trisection, we are just constructing 30 degree angles.

For further reading, google "angle trisection"

Suppose x varies directly with the square root of y and inversely with the cube root of z. What equation models this combined variation?

Answers

Answer:

[tex]\huge\boxed{x = k \frac{\sqrt{y} }{\sqrt[3]{z} }}[/tex]

Step-by-step explanation:

Given that:

1) x ∝ √y

2) x ∝ [tex]\frac{1}{\sqrt[3]{z} }[/tex]

Combining the proportionality

=> x ∝ [tex]\frac{\sqrt{y} }{\sqrt[3]{z} }[/tex]

=> [tex]x = k \frac{\sqrt{y} }{\sqrt[3]{z} }[/tex]

Where k is the constant of proportionality.

Other Questions
Define a function pyramid_volume with parameters base_length, base_width, and pyramid_height, that returns the volume of a pyramid with a rectangular base. Sample output with inputs: 4.5 2.1 3.0 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.