waht is the gcf of 4x^5 + 7x^3

Answers

Answer 1

Answer:

Step-by-step explanation:

4x^5 + 7x^3

x^3(4x^2 + 7)

The GCF is x^3


Related Questions

Tori and Gavin were trying to solve the equation: (x+1)^2-3=13(x+1) 2 −3=13left parenthesis, x, plus, 1, right parenthesis, squared, minus, 3, equals, 13 Tori said, "I'll add 333 to both sides of the equation and solve using square roots." Gavin said, "I'll multiply (x+1)^2(x+1) 2 left parenthesis, x, plus, 1, right parenthesis, squared and rewrite the equation as x^2+2x+1-3=13x 2 +2x+1−3=13x, squared, plus, 2, x, plus, 1, minus, 3, equals, 13. Then I'll subtract 131313 from both sides, combine like terms, and solve using the quadratic formula with a=1a=1a, equals, 1, b=2b=2b, equals, 2, and c=-15c=−15c, equals, minus, 15."

Answers

The other answer is correct, its both !<3

Answer:

Both

Step-by-step explanation:

Both Tori and Gavin are correct, the two methods work. Completed this in Khan Academy, it's correct.

Events A and B are mutually exclusive. Find the missing probability.


P(A) = 1/4 P(B) = 13/20 P(A or B) = ?


4/5


1/2


9/10


3/8

Answers

Answer:

Option C.

Step-by-step explanation:

It is given that,

[tex]P(A)=\dfrac{1}{4}[/tex]

[tex]P(B)=\dfrac{13}{20}[/tex]

It is given that events A and B are mutually exclusive. It means they have no common elements.

[tex]P(A\cap B)=0[/tex]

We know that,

[tex]P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

On substituting the values, we get

[tex]P(A\cup B)=\dfrac{1}{4}+\dfrac{13}{20}-0[/tex]

[tex]P(A\cup B)=\dfrac{5+13}{20}[/tex]

[tex]P(A\cup B)=\dfrac{18}{20}[/tex]

[tex]P(A\cup B)=\dfrac{9}{10}[/tex]

Therefore, the correct option is C.

The P (A or B) should be [tex]\frac{9}{10}[/tex]

Given that,

P(A) = 1 by 4  P(B) = 13 by 20

Based on the above information, the calculation is as follows:

[tex]= \frac{1}{4} + \frac{13}{20}\\\\= \frac{5+13}{20} \\\\= \frac{18}{20}\\\\= \frac{9}{10}[/tex]

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Raj tested his new flashlight by shining it on his bedroom wall. The beam of light can be described by the equation . How many inches wide is the beam of light on the wall?

Answers

Answer:

12 inches

Step-by-step explanation:

Raj tested his new flashlight by shinning it on his bedroom wall the beam of the light can be described by the equation (x^2-2x) + (y^2-4y) - 31=0. how many inches wide is the beam of light on the wall

Solution

Given:

(x^2-2x) + (y^2-4y) - 31=0

By completing the square

(x^2-2x) + (y^2-4y) - 31=0

(x^2-2x+1-1) + (y^2-4y+4-4)-31=0

(x-1)^2 -1 + (y-2)^2 - 4 - 31=0

(x-1)^2 + (y-2)^2 - 1 - 4 - 31=0

(x-1)^2 + (y-2)^2 - 36=0

(x-1)^2 + (y-2)^2=36

Writing the equation in the form: (x-h)^2+(y-k)^2=r^2

(x-1)^2+(y-2)^2=6^2

From the above, r=6

Where,

r=radius

how wide is the diameter ?

radius=6

Diameter= 2 × radius

=2×6

=12 inches

Answer:

12

Step-by-step explanation:

to graph it just scan the equation on photo math!!

A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is?

Answers

[tex]|\Omega|=2^5=32\\|A|=10\\\\P(A)=\dfrac{10}{32}=\dfrac{5}{16}[/tex]

Answer:

answer is 5/16

Step-by-step explanation: i did plato

Suppose you start at the origin, move along the x-axis a distance of 5 units in the positive direction, and then move downward along the z-axis a distance of 3 units. What are the coordinates of your position

Answers

Answer:(x,z)=(5,-3)

Step-by-step explanation:

Given

We move  5 units in x-axis

3 units in downward along z-axis

Suppose a z-axis is vertical and x -axis is horizontal as shown in fig.

So, coordinates after movement is given by the movement along x-axis and z-axis.

So, final coordinates is (5,-3) in x-z Plane .

As there is no movement in z-axis , so Y-coordinate will remain zero.

Starting at the same spot on a circular track that is 80 meters in diameter, Hillary and Eugene run in opposite directions, at 300 meters per minute and 240 meters per minute, respectively. They run for 50 minutes. What distance separates Hillary and Eugene when they finish

Answers

Answer:

143.32 m

Step-by-step explanation:

Given the following :

Diameter of circular track = 80m

Hillary's speed = 300m per minute

Eugene's speed = 240m per minute

Run time = 50 minutes

Note: they both run in opposite direction.

Calculate the Circumference(C) of the circle :

C = 2πr or πd

Where r = radius ; d = diameter

Using C = πd

C = πd

C = π * 80

C = 251.327

Eugene's distance covered = (240 * 50) = 12000

Hillary's distance covered = (300 * 50) = 15000

Number turns :

Eugene = 12000/ 251.327 = 47.746561

Hillary = 15000/251.327 = 59.683201

Therefore ;

48 - 47.746561 = 0.253439

60 - 59.683201 = 0.316799

(0.253439+0.316799) = 0.570238

Distance which separates Eugene and Hillary when they finish :

0.570238 * 251.327 = 143.32 m

Shireen starts from 100 and writes a series of numbers in which EACH NUMBER IS 4 MORE THAN THE NUMBER AFTER IT. Shireen's series will be A.100, 104, 108, 112, B.100, 104, 100, 104, C.100, 96, 92, 88, D.100, 400, 800, 1200,

Answers

Answer:C. 100, 96, 94, 90.

Step-by-step explanation:

If shireen starts at 100, and if the number is 4 more than the number after it. You must subtract 4 to the previous number to get the next number.

So= 100-4= 96

= 96-4= 94

=94-4 = 90

ANSWER IS= 100, 96, 94, 90, etc....

I hope this helps!

I need help with these 2 questions. PLZZ help!!!

Answers

Answer:

Step-by-step explanation:

if x is the bill and y is the tip ten

x+y>14.50

x<2   and  x≤ 2

when the sign is< then the dot has to be clear , because 2 does not count and x is less than 2 and not equal to 2

when the sign is ≤ the dot on the graph is solid which represent the equal to.

How do you write The product of 2 and a cube of a number

Answers

ANSWER IS ATTACHED

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                              PEACE!

Hmm What's 2⁄3 of 90cm?

Answers

Answer:

Hey there!

2/3 of 90 cm would be 60 cm.

Hope this helps :)

Answer

[tex] \boxed{60}[/tex]

Step by step explanation

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term :

[tex] \mathsf{ \frac{2}{3} \times 90}[/tex]

⇒[tex] \mathsf{ \frac{2 \times 90}{3 \times 1} }[/tex]

⇒[tex] \mathsf{ \frac{180}{3} }[/tex]

⇒[tex]60[/tex]

Hope I helped!

Best regards!!

the function f(x)=-(x5+)(x+1) is shown. what is the range of the function

Answers

Answer:

all real numbers less than or equals to 4

Tuesday 8 hours and 18 hours minutes Wednesday 7 hours and 54 minutes how many hours did Brett work in total this week

Answers

Answer:

(if you just add them together), it is 16 hours and 12 minutes

Step-by-step explanation:

8 hours plus 7 hours is 15 hours. 54 minutes plus 6 minutes is another hour. We then have 12 minutes left over. This could also be 16 1/5 hrs.

What is happening to this graph when the x-values are between - 1 and 1?

A. It is decreasing.
B. It is constant
C. It is increasing

Answers

Answer:

A. It’s decreasing

Step-by-step explanation:

Hey there!

Well on the graph at points -1 and 1 we can tell the line is going down,

meaning the line is decreasing.

Hope this helps :)

Answer:it is increasing

Step-by-step explanation:

Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m, as shown in the diagram opposite?

Answers

Answer:

212m

Step-by-step explanation:

The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.

Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;

Since we have the angle theta = 45° and opposite = 150m

According to SOH;

Sin theta = opposite/hypotenuse.

Sin45° = 150/hyp

hyp = 150/sin45°

hyp = 150/(1/√2)

hyp = 150×√2

hyp = 150√2 m

hyp = 212.13m

Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m

By applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.

Recall:

Trigonometry ratios used to solve a right triangle are: SOH CAH TOA

The diagram describing the situation is attached below (see attachment).

Thus:

The reference angle [tex](\theta) = 45^{\circ}[/tex]

Let the length of the rope be x = Hypotenuse

Opposite = 150 m

To find the length of the rope (x), apply SOH

Thus:

[tex]Sin(\theta) = \frac{Opp}{Hyp}[/tex]

Substitute

[tex]Sin(45) = \frac{150}{x}[/tex]

Multiply both sides by x

[tex]x \times Sin(45) = \frac{150}{x} \times x\\\\x \times Sin(45) = 150[/tex]

Divide both sides by sin(45)

[tex]\frac{x \times Sin(45)}{Sin(45)} = \frac{150}{ Sin(45)} \\\\\mathbf{x = 212 $ m}[/tex]

Therefore, by applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.

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Select the representations that do not change the location of the point (6, 170°). a. (-6, 350°) b. (-6, 190°) c. (-6, -10°) d. (6, -190°)

Answers

Answer:

b) (_6,198,) 1112334dccfsshh

The width of a rectangle measures (6.8d-4.2)(6.8d−4.2) centimeters, and its length measures (9.2d+8.7)(9.2d+8.7) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

The perimeter of the rectangle is represented by [tex]p = 32\cdot d + 9[/tex], measured in centimeters.

Step-by-step explanation:

The perimeter ([tex]p[/tex]) of a rectangle, measured in centimeters, is represented by this formula:

[tex]p = 2\cdot (w+l)[/tex]

Where [tex]w[/tex] and [tex]l[/tex] are width and length, measured in centimeters.

If [tex]w = 6.8\cdot d-4.2[/tex] and [tex]l = 9.2\cdot d+8.7[/tex], the expression that represents the perimeter is:

[tex]p = 2\cdot (16\cdot d +4.5)[/tex]

[tex]p = 32\cdot d + 9[/tex]

The perimeter of the rectangle is represented by [tex]p = 32\cdot d + 9[/tex], measured in centimeters.

A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 982 and a standard deviation of 198. Scores on the ACT test are normally distributed with a mean of 19.6 and a standard deviation of 4.5. It is assumed that the two tests measure the same aptitude, but use different scales.If a student gets an SAT score that is the 20-percentile, find the actual SAT score.SAT score =What would be the equivalent ACT score for this student?ACT score =If a student gets an SAT score of 1437, find the equivalent ACT score.ACT score =

Answers

Answer:

Actual SAT Score = 815.284

Equivalent ACT Score = 15.811

The equivalent ACT Score = 29.95

Step-by-step explanation:

From the given information:

Scores on the SAT test are normally distributed with :

Mean = 982

Standard deviation = 198

If a student gets an SAT score that is the 20-percentile

Then ;

P(Z ≤ z ) = 0.20

From the standard z-score for percentile distribution.

z = -0.842

Therefore, the actual SAT Score can be computed as follows:

Actual SAT score = Mean + (z score × Standard deviation)

Actual SAT score =  982 +  (- 0.842 × 198)

Actual SAT score = 982 + ( - 166.716)

Actual SAT score =  982  - 166.716

Actual SAT Score = 815.284

Scores on the ACT test are normally distributed with a mean of 19.6 and a standard deviation of 4.5.

Mean = 19.6

Standard deviation = 4.5

Equivalent ACT Score = 19.6 +  (- 0.842 × 4.5)

Equivalent ACT Score = 19.6 +  ( - 3.789)

Equivalent ACT Score = 15.811

If a student gets an SAT score of 1437, find the equivalent ACT score.

So , if the SAT Score = 1437

Then , using the z formula , we can determine the equivalent ACT Score

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z = \dfrac{1437 - 982}{198}[/tex]

[tex]z = \dfrac{455}{198}[/tex]

z =2.30

The equivalent ACT Score = 19.6 + (2.30 × 4.5)

The equivalent ACT Score = 19.6 +  10.35

The equivalent ACT Score = 29.95

We want to build a swimming pool that is 2m by 6m. On our page it measured out to be 8cm by 24cm. What is tge scale that can be used

Answers

Answer:

1:25

Step-by-step explanation:

Given

Dimensions of swimming pool:

W = 2 mL = 6 m

Dimensions on paper:

w = 8 cml = 24 cm

Scale is the ratio of same measurements:

w/W = 8 cm/2 m = 8 cm / 200 cm = 1/25

So the scale is 1:25

In the figure above, O is a circle. What is the
measure of obtuse angle AOB, in degrees?

Answers

Answer:

An obtuse angle is an angle that is bigger than 90° degrees, but doesn’t reach a straight line at 180°.

Step-by-step explanation:

i didnt see a figure above but this is the answer to "what is the measure if obtuse angle in degrees?"

On the circle below, tangent line BC¯¯¯¯¯ is constructed by striking an arc from point D that intersects circle A at point B. The measure of EC¯¯¯¯¯ is 8 units and other measures are shown on the diagram below. Enter the distance from point D to point B.

Answers

Answer:

[tex]\huge\boxed{BD = 12\ units}[/tex]

Step-by-step explanation:

If AB = 5 , then AE = 5 [Radii of the same circle]

So,

AC = AE + EC

AC = 8+5

AC = 13 units

Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle

[tex]c^2=a^2+b^2[/tex]

Where c = AC , a = BD and b = AB

[tex]13^2 = BD^2+5^2[/tex]

169 = BD² + 25

Subtracting 25 to both sides

169 - 25 = BD²

BD² = 144

Taking square root on both sides

BD = 12 units

A number rounded to the nearest hundred thousand is 400,00. The same number rounded to the nearest ten thousand is 350,000. What could be the number?

Answers

Answer:

the number could be between 350,000 and 354,999

Step-by-step explanation:

when calculating to the nearest hundred thousand

for instance, your number is in this format abc,def, the hundred thousand place is determined by "b".

So if the value of b is over 5, when approximating, 1 is added to a.

if the value of b is below 5, when approximating, 0 is added to a.

Therefore, 354,999 to the nearest hundred thousand is 400,000

when calculating to the nearest ten thousand

for instance, your number is in this format abc,def, the ten thousand place is determined by "c".

So if the value of c is over 5, when approximating, 1 is added to b.

if the value of c is below 5, when approximating, 0 is added to b.

Therefore, 354,999 to the nearest ten thousand is 350,000

Write the explicit rule by writing each term as the product of the first term.

1.) N 1 2 3 4
F(n) 3 15 75 375

2.) 40, 60, 90, 135,

Answers

Answer:

1 f(n) = 3(5)^x-1

2 f(n) = 40(3/2)^x-1

Step-by-step explanation:

The first number in the sequence, times the (multiplicative factor)^ x-1 is the rule for geometric sequences.

Answer:

graph A on edge 2020

Step-by-step explanation:

I took the test

Write the event as set of outcomes. We flip three coins and obtain more tails than heads.
A. {ttt}
B. {ttt, tth, tht, htt}
C. {ttt, tth}
D. {tth, tht, htt}

Answers

Answer:

B.

Step-by-step explanation:

All the possible outcomes are listed on choice B.

The event is a set of outcomes. if we flip three coins and obtain more tails than heads is E = {ttt, tth, tht, htt} option (B) is correct.

What is set?

A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

We have three coins.

As we know, in a coin there are two sides head and a tail.

If we flip three coins then the set of all the possible outcomes:

O = {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

The set of outcomes has more tails than heads.

E = {ttt, tth, tht, htt}

We can find the probability, the probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Probability = 4/8 = 1/2

Thus, the event is a set of outcomes. if we flip three coins and obtain more tails than heads is E = {ttt, tth, tht, htt} option (B) is correct.

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BRAINLIEST, 5 STARS, 50 POINTS AND THANKS IF ANSWERED CORRECTLY.

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

1. What are the solutions for x when y is equal to 0 in the following quadratic function?
y = x^2 + 4

2. What are the solutions for x when y is equal to 0 in the following quadratic function?
y = x^2 - 81

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

Thank you if you answered!

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

x² + 4 = 0 ( subtract 4 from both sides )

x² = - 4 ( take the square root of both sides )

x = ± [tex]\sqrt{-4}[/tex] = ± 2i ← complex solutions

(2)

x² - 81 = 0 ( add 81 to both sides )

x² = 81 ( take the square root of both sides )

x = ± [tex]\sqrt{81}[/tex] = ± 9 ← real solutions

Answer:

1. -2

2. 9

Step-by-step explanation:

1. 0 = x2 + 4

  -4 = x2

  [tex]\sqrt{-4}[/tex] = x

x = -2

2. 0 = x2 - 81

   81 = x2

    [tex]\sqrt{81}[/tex] = x

 x = 9

    MARK IT BRAINLIEST!!!

WILL AWARD BRAINLIEST IF CORRECT!!!!! ALSO PLEASR HURRY I'M ON A TIMER!! Which graph represents the following piecewise defined function? (images attatched)

Answers

Answer:

The last one.

Step-by-step explanation:

For x>3, the graph should start at x=3 and y = 2*3-3 = 3 with an open circle, since x must not be equal to 3.

The last graph is the only one that has that.

Furthermore, the middle part is a straight line from -2 ≤ x ≤ 3. The 'or equals' part in there reveals that the straight line segment should have closed circles, all solutions that don't have that can be discarded. So that hint alone points you to the last solution.

ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer: C) 63

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

Explanation:

Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y

y = measure of arc CDF

Adding the three arcs forms a full circle of 360 degrees

(arc CBH)+(arc FGH)+(arc CDF) = 360

170+64+y = 360

y+234 = 360

y = 360-234

y = 126

arc CDF = 126 degrees

Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.

inscribed angle = (arc measure)/2

x = (arc CDF)/2

x = 126/2

x = 63

Answer:

rewrite the fromula 126

Step-by-step explanation:


Which graph represents the solution set of this inequality?
10c + 5 < 45?

Answers

Answer:

see below

Step-by-step explanation:

10c + 5 < 45

Subtract 5 from each side

10c + 5-5 < 45-5

10c < 40

Divide by 10 on each side

10c/10 < 40/10

c < 4

Open circle at 4 and the line going to the left

Please answer this question now

Answers

Answer:

Measure of arc CD = 112°

Step-by-step explanation:

Since quadrilateral ABCD is a cyclic quadrilateral,

m∠A + m∠C = 180°

129° + m∠C = 180°

m∠C = 180° - 129°

m∠C = 51°

Since, m(arc BD) = 2(m∠C) [Since measure of the arc is double of its inscribed angle]

                           = 2(51°)

                           = 102°

Since, m(arc BD) + m(arc CD) + m(arc BC) = 360°

102° + m(arc CD) + 146° = 360°

m(arc CD) = 360° - (102° + 146°)

                = 112°

Therefore, measure of arc CD is 112°.

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Answers

Answer:

see details below

Step-by-step explanation:

a) week 1 :  #10" / (#10"+#12") = 509 / 736 =  69% (to nearest percent)

b) week 2 :  #10" / (#10"+#12") = 766 / 1076 = 383/538 = 71% (to nearest percent)

A).69% for week 1

B)71% for week 2

Which statement is true about the solutions to x^2 - 1 = 24

A. There are two distinct irrational solutions.

B. There are two distinct rational solutions

C. There is only one rational solution

D. There is only one irrational solution

Answers

Answer:

B. There are two distinct rational solutions

Step-by-step explanation:

x^2 -1 = 24

Add 1 to each side

x^2 -1+1 = 24+1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

Answer:

B.

Step-by-step explanation:

x^2 - 1 = 24

x^2 = 25

Taking the square root of both sides:

x = -5, 5.

2 distinct rational solutions.

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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.