What is the radius of the circle given by the
equation (x + 4)2 + (y − 3)2 = 4?
A. 16
B. 4
C. √4
D. 12

Answers

Answer 1

Answer:

C sqrt (4) or 2

Step-by-step explanation:

(x + 4)^2 + (y − 3)^2 = 4

We know that the equation for a circle can be written in the form

(x -h)^2 + (y − k)^2 = r^2  where (h,k) is the center and r is the radius

Rewriting the above equation

(x - -4)^2 + (y − 3)^2 = 2^2

The center is (-4,3) and the radius is 2


Related Questions

Match the angle measures with the value of x in each triangle. i!mages below!
145°
33°
46°
124°
60°

Answers

Step-by-step explanation:

left side X°=33(i.e 75+72+x=180)

left side down x°= 60°

right side=145°

right side down= 124

For PLATO Users here is the correct matching

PLwz help thank youuuuuuuuuuuu

Answers

y = |x|

This is absolute value because it's a v-shape.

Joan draws a bar chart to show the temperatures at midday
on March 1st in five cities.
Joan has made four mistakes
in her diagram.
Write down any three of them.

Answers

Final answer:

Possible mistakes in Joan's bar chart could be incorrect scale, inaccurate labeling, and inconsistent bar lengths. Correcting these errors would make the chart a more accurate representation of the temperature data.

Explanation:

Without the specific bar chart, it is difficult to identify Joan's mistakes, but possible errors in a bar chart depicting temperatures could be the following:

Incorrect scale: The scale of the bar chart must correspond to the range of temperatures. For example, if temperatures vary from 15 degrees Celsius to 35 degrees Celsius, the scale should encompass this range.Incorrect labeling: Each city and corresponding temperature should be accurately labeled on the chart.Inconsistent bar lengths: The length of the bars should represent the actual data accurately. A higher temperature should have a longer bar and a lower temperature a shorter one.

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Before soccer practice Allyson jogs around the field that measures 100 yards by 65 yards twice. How far will she jog?

Answers

Answer:

she will jog 660

Step-by-step explanation:

(100+65)×2=1 lap

330×2=2 laps (660yards)

Final answer:

Allyson will jog around the perimeter of the soccer field twice, which totals 660 yards.

Explanation:

Allyson is jogging around a soccer field that has dimensions of 100 yards long and 65 yards wide. To find out how far she will jog, we need to calculate the perimeter of the field and then multiply it by the number of times she jogs around it.

Calculating the Perimeter:

The perimeter P of a rectangle is given by P = 2(length + width). In this case:

Length (L) = 100 yardsWidth (W) = 65 yards

So the perimeter of the soccer field is:

P = 2(100 yards + 65 yards) = 2(165 yards) = 330 yards.

Total Distance Jogged:

Since Allyson jogs around the field twice, the total distance she will jog is:

Total Distance = Perimeter × Number of Laps = 330 yards × 2 = 660 yards.

Therefore, Allyson will jog a total distance of 660 yards.

Determine if the expression 7r - 6r3 - 10r4 is a polynomial or not.​

Answers

Answer:

A polynomial is a combination of terms separated by + or - signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Final answer:

The expression 7r - 6r^3 - 10r^4 is a polynomial because it consists of terms with variables raised to non-negative integer exponents.

Explanation:

The expression 7r - 6r3 - 10r4 is a polynomial because it is a mathematical expression consisting of terms with variables raised to non-negative integer exponents.

A polynomial is an algebraic expression made up of one or more terms, where each term has a coefficient and a variable raised to a non-negative integer exponent. In this case, the expression has three terms: 7r, -6r3, and -10r4. The variable in the expression is 'r', and each term is raised to a non-negative integer exponent.

Therefore, the expression 7r - 6r3 - 10r4 is a polynomial.

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Using a scale of 2in: 45 miles

The distance between Troy City and Ben City is 315 miles. How far apart are they on the map? (numerical answer)

Answers

set Up a ratio:

2 inches / 45 miles = x inches / 315 miles

Solve for x

Cross multiply:

45x = 630

Divide both sides by 45

X = 630 /45

X = 14 inches apart

HELP WILL MARK BRAINLIEST!!
Solve.

Answers

Answer:

[tex]-\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]\frac{5}{8} +\frac{3}{4} =\frac{11}{8} \\\\\frac{11}{8}=1.375\\\\\frac{-2}{3} -\frac{5}{6} =-\frac{3}{2} \\\\-\frac{3}{2}=-1.5\\\\\frac{1.375}{-1.5} =-\frac{11}{12}[/tex]

We'll split this up between the numerator and denominator.

Numerator:

5/8 + 3/4

Step 1) Make all of the denominators the same

5/8 + 6/8

Step 2) Add the numerators together

11/8

Denominator:

-2/3 - 5/6

Step 1) Make all of the denominators the same

-4/6 - 5/6

Step 2) Subtract the numerators

-9/6

Now we have (11/8) / (-9/6). Dividing fractions is the same as multiplying by the reciprocal.

11/8 x -9/6

-99/48

-2 3/48

-2 1/16

Hope this helps! :)

What is y+6=1/3(x-9) written in slope-intercept form?

Answers

Slope intercept form is y = mx + b.

y + 6 = 1/3(x - 9)

y + 6 = 1/3x - 3

y = 1/3x - 9

Hope this helps!! :)

Answer:

[tex]y = 1/3x - 9[/tex]

Step-by-step explanation:

Step 1:  Rewrite in slope-int form

[tex]y + 6 = 1/3(x - 9)[/tex]

[tex]y + 6 = 1/3x - 3[/tex]

[tex]y + 6 - 6 = 1/3x - 3 - 6[/tex]

[tex]y = 1/3x - 9[/tex]

Answer:  [tex]y = 1/3x - 9[/tex]

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.
Average Daily Temperature
Jan. 1 - 1900-1934
City A
Number of Years
20
22 24 26 28
Average Daily Temperature
The mean of the temperatures in the chart is 24° with a standard deviation of 4° Which temperature is within one standard
deviation of the mean?
Save and Fxit

Answers

25 years had temperatures within one standard deviation of the mean.

What is standard Deviation?

The term "standard deviation"  (or σ) refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Data for the average daily temperature on January 1 from 1900 to 1934 for city A.

Mean u = 24°C

standard deviation σ = 4°C

Now, Interval for 1 standard deviation ( σ ):                                    

[ u - σ , u + σ ]

[ 24 - 4 , 24 + 4 ]

[ 20 , 28 ] °C

Now, determine the number of years the temperature T lied in the above calculated range: [ 20 , 28 ].

T1 = 20 , n1 = 2 years

T2 = 21 , n2 = 3 years  

T3 = 22 , n3 = 2 years

T4 = 23 , n4 = 4 years  

T5 = 24 , n5 = 3 years

T6 = 25 , n6 = 3 years  

T7 = 26 , n7 = 5 years

T8 = 27 , n8 = 2 years

T5 = 28 , n9 = 1 years

and, The total number of years:

∑ni = n1 + n2 + n3 + n4 + n5 + n6 + n7 + n8 + n9

=  2 + 3 + 2 + 4 + 3 + 3 + 5 + 2 + 1

= 25 years          

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Emily purchased a couch, loveseat, in the chair for $2000. The Loveseat cost twice as much as the chair, and the couch cost $600 more than the love seat. Find the cost of the couch, loveseat, and chair.

Answers

Answer:

Chair $280

Loveseat $560

Couch $ 1,160

Step-by-step explanation:

chair = x

loveseat=2x

couch = 2x + 600

x +2x + 2x +600 = 2000

5x + 600 =2000 subtract 600 from both sides

5x =1400 divide by 5

x = $280

Chair is the value of x =$280

Loveseat is twice the value of x = 2 x $280 =$560

Couch is twice the value of x plus $600 = $560 + $600

The cost of a chair, the cost of a loveseat, and the cost of a couch are $280, $560, and $1,160 respectively.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

Emily purchased a couch, loveseat, in the chair for $2000.

The Loveseat cost twice as much as the chair, and the couch cost $600 more than the love seat.

Let

The cost of the chair is x, then the loveseat is 2x and the cost of the couch is 2x + 600.

Then

The sum of the cost of the chair, loveseat, and couch is $2000.

[tex]x + 2x + 2x + 600 = 2000\\[/tex]

On simplifying, we have

x = 280

Then

The cost of the chair = x = $280.

The loveseat = 2x = 2(280) = $560

The cost of the couch = 2x + 600 = 2(280) + 600 = $1,160

Thus, the cost of the chair, loveseat, and couch is $280, $560, and $1,160 respectively.

More about the linear system link is given below.

https://brainly.com/question/20379472

For the sides, round your answer to the nearest tenth.

DE =

EF =

DF =

Is the triangle scalene, isosceles, or equilateral?
HELPP!!

Answers

Answer:

it should be scalene

Step-by-step explanation:

DE: [tex]\sqrt{90}[/tex]

^^ [tex]\sqrt{(-1-8)^{2}+ (-3--6)^{2} }[/tex]

[tex]\sqrt{-9^{2} +3^{2}[/tex]

[tex]\sqrt{81+9}[/tex]

EF:[tex]\sqrt{65}[/tex]

^^[tex]\sqrt{(-2+1)^{2} + (5+3)^{2} }[/tex]

[tex]\sqrt{-1^{2}+8^{2}[/tex]

[tex]\sqrt{1+64}[/tex]

DF= [tex]\sqrt{101}[/tex]

^^

select all of the following that are like radicals

Answers

Answer:

READ BELOW, Answers Are: A,B,D,F

Step-by-step explanation:

If you are referring to this Edge problem here:

Answer:

A, B, D

Step-by-step explanation:

Adding and Subtracting Radicals Instruction on Edge

For homework, Anya had to find the width of a bedroom after the scale changed from 1 inch : 4 feet to 1 inch : 7 feet. Her work is shown below.

Answers

Answer:

The correct answer is A!!

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

a

Tomás is enlarging a square with a side length of 15 cm using this scale factor and scale drawing.

Scale factor = 2 centimeters: 7 meters. A square with side lengths of 15 centimeters.

Which proportion would Tomás use to solve for the side length (x) of the enlarged square in meters?

Answers

Answer:

[tex]\frac{2 CM}{7 M} = \frac{15 CM}{X M}[/tex]

Step-by-step explanation:

I did the assignment.

The side length (x) of the enlarged square in meters has a scale factor will be 52.5 meters.

What is dilation?

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Tomás is enlarging a square with a side length of 15 cm using this scale factor and scale drawing.

Scale factor = 2 centimeters: 7 meters. A square with side lengths of 15 centimeters.

Let x be the dilated length.

Then we have

[tex]\rm \dfrac{15}{x} = \dfrac{2}{7}\\\\x \ \ = 52.5[/tex]

More about the dilation link is given below.

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The total weight of the golf balls from Julio's golf bag was 273 grams. If each golf ball weighed 45.5 grams, which graph
shows the weight of golf balls as it relates to the number of golf balls?
Weight of Golf Balls
Number of Golf Balls
Weight (in grams)
45.5
273

Answers

Answer:

Attached graph

Step-by-step explanation:

Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be

273/6=45.5 g

1 ball=45.5 g

2 balls =2*45.5=91 g

3 balls =3*45.5=136.5 g

4 balls=4*45.5=182 g

5 balls =5*45.5=227.5 g

6 balls =6*45.5=273 g

Since the graph to select is not given, I attached ny own sketch. Any other graph with these corresponding figures in x and y axis as indicated will be correct.

Answer:

A

Step-by-step explanation:

Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be

273/6=45.5 g

1 ball=45.5 g

2 balls =2*45.5=91 g

3 balls =3*45.5=136.5 g

4 balls=4*45.5=182 g

5 balls =5*45.5=227.5 g

6 balls =6*45.5=273 g

Since the graph to select is not given, I attached ny own sketch. Any other graph with these corresponding figures in x and y axis as indicated will be correct.

2x + y = 5
x + y = 4
O A. x = 1, y = 3
O B. x = 1, y = 5
OC. x = 3, y = 1
O D. x = 9, y = -5

Answers

It’s A
Kdnsksjsjsnsnwjwsnnndnjdksnsjssjsnsjsdjsndoxishbabshxbsjsjskansnsn

Answer:

A. x=1, y=3

Step-by-step explanation:

you have to isolate y in the bottom equation in order to put it into the top equation. heres what i did:

we will start with the bottom equation, x+y=4. then, subtract x on both sides of the equation. this will isolate y. now, we have the equation; y=4-x.

next, we are going to substitute our new bottom equation in where y is on the top. it looks like this: 2x+(4-x)=5. then, we are going to get rid of the parenthesis, so our equation is: 2x+4-x=5. to solve this, we have to combine like terms, so we will combine the x terms: x+4=5. now, isolate the variable. to do this, we have to take away 4 from each side so we can get x alone: x=1.

so now that we have a value for x, we can use that to find y. we can actually substitute our x-value into the bottom equation to make it easier: 1+y=4. next, we have to isolate the variable, which is y. this gives us the final answer: y=3.

i hope that this explanation helped with your struggles, it took me awhile to type out and i really tried hard. stay safe and good luck with your class!

A cone shaped tepee has a radius of 4 feet and a slant height of 7feet. If joe is six feet tall, determine whether joe is shorter or taller than the height of the tepee.

Answers

Answer:

Therefore Joe is taller than the height of the tepee.

Step-by-step explanation:

Cone:

Cone is three dimensional shape. It has an vertex.Slant height of an object is a height that measured along a lateral surface from the vertex to the the base. The slant height of a cone is =   [tex]\sqrt{height^2+radius^2}[/tex]The height of a cone is  [tex]=\sqrt{slant\ height ^2- radius^2[/tex]The volume of a cone =  [tex]\frac{1}3 \pi r^2 h[/tex]Lateral surface area is  [tex]=\pi r l[/tex]

Given that,

A cone shaped tepee has a radius of 4 feet and slant height of 7 feet.

The height of the cone is  [tex]=\sqrt{slant\ height ^2- radius^2[/tex]

                                           [tex]=\sqrt{7^2-4^2}[/tex]feet

                                          [tex]=\sqrt{33}[/tex] feet

                                          ≈5.74 feet

Given that, Joe is 6 feet tall.

Since 6 feet> 5.74 feet

Therefore Joe is taller than the height of the tepee.

Answer: Joe is taller than the tepee

331 students went on a field trip. six buses were filled and 7 students travled in cars. how many students were in each bus

Answers

Answer:

54 Students in each bus

Step-by-step explanation:

331-7= 324

324/6 = 54

you have to initially subtract 7 fro 331 because they took cars. the rest of the students took the 6 buses.

now you are left with 324/6 which gives you 54 students per bus

I need The answers for U,V and W

Answers

Answer:

U=30

W=2.25

tho I’m not sure about v

Answers:

U: 5 + 13 + 12 = 30 cm

V: 8 + 7 + 4 + 3,5 = 22,5 ft

W: 2 1/8 + 6 3/4 + 2 = 2 + 0,125 + 6 + 0.75 + 2 = 10,875 mm


Which polynomial has zeros of 2, 5, and -4?

A. (x + 2)(x + 5)(x - 4)
B. (2x - 4)(x + 5)(x + 4)
c. 6 - 2)(x - 5)(x - 4)
D. (2x - 4)(x - 5)(x + 4)

Answers

The polynomial has zeros of 2, 5, and -4 is option (d) (2x - 4)(x - 5)(x + 4).

What is polynomial?

A polynomial is a mathematical equation made up of indeterminates and coefficients and uses only addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

How to find the correct polynomial?

To find a polynomial that has zeros 2, 5, and -4 substituted x = 2, 5, and -4 in a polynomial.

By substituted x = 2, 5, and -4 in a polynomial (2x - 4)(x - 5)(x + 4).

(a) For x=2.

The polynomial is

(2(2) - 4)(2- 5)(2 + 4) = (4- 4)(-3)(6)

                                 = 0×-3×6

                                 = 0

(b) For x=5.

The polynomial is

(2(5) - 4)(5 - 5)(5 + 4) = (10-4)(0)(9)

                                  = 6×0×9

                                  = 0

(c) For x=-4.

The polynomial is

(2(-4) - 4)(-4 - 5)(-4 + 4) = (-8-4)(-9)(0)

                                  = -`12×-9×0

                                  = 0

Since (2x - 4)(x + 5)(x + 4) has zeros of 2, 5, and -4

For incorrect options

By substituted x = 2, 5, and -4 in a polynomial  (x + 2)(x + 5)(x - 4), (2x - 4)(x + 5)(x + 4) and (6x - 2)(x - 5)(x - 4) is not equal to zero therefore (a), (b) and (c)is not correct option.

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Final answer:

The correct polynomial with zeros of 2, 5, and -4 is represented by Option C, which is (x - 2)(x - 5)(x + 4), even though there is a typo in the option provided.

Explanation:

The zeros of a polynomial are the values for which the polynomial evaluates to zero. These are also the solutions to the equation obtained by setting the polynomial equal to zero. Given the zeros of 2, 5, and -4, we can form a polynomial by finding the factors associated with each zero and then multiplying those factors together.

The factor associated with the zero 2 is (x - 2), the factor for the zero 5 is (x - 5), and the factor for the zero -4 is (x + 4). Multiplying these factors will give us the polynomial that has these zeros:

P(x) = (x - 2)(x - 5)(x + 4).

Comparing this expression with the options provided:

Option A is incorrect because it has factors of (x + 2) and (x - 4), implying zeros of -2 and 4.Option B is incorrect because it has the factor of (2x - 4), which simplifies to (x - 2), but includes the incorrect (x + 4).Option C is correctly formed with (x - 2)(x - 5)(x + 4), despite the typo, and represents the polynomial with the given zeros.Option D is incorrect, similar to option B.

Therefore, the correct answer is Option C, which is (x - 2)(x - 5)(x + 4).

Please help!
I'm having a tuff time figuring this out.

Answers

Answer:

x = 17

Step-by-step explanation:

Since the triangles are congruent

<I = <P

3x+4 = 72-x

Add x to each side

3x+4+x = 72-x+x

4x+4 = 72

Subtract 4 from each side

4x+4-4 = 72-4

4x = 68

Divide each side by 4

4x/4 = 68/4

x = 17

Find the value of x.

Answers

what is the value of.

Answer:

x = 12

Step-by-step explanation:

By property of intersecting secants outside of a circle:

[tex]x \times 15 = 20 \times 12 \\ x = \frac{20 \times 12}{15} \\ x = \frac{20 \times 3}{5} \\ x = 4 \times 3 \\ x = 12[/tex]

Combine the like terms to create an equivalent expression: -4q - (-8q) + 10

Answers

Like terms are terms that have the same variable and power/exponent.

-4q - (-8q) + 10   (two negative signs cancel each other out and become positive)

-4q + 8q + 10     The only like terms you can combine are -4q and 8q, because they have the same variable of q and an exponent of 1.

4q + 10        (this is as far as you can simplify)

Remove the parentheses and change the sign = -4q + 8q + 10

Combine like terms and you get 4q + 10

If you factor it you’d get 2(2q + 5)

which number is a fact of 6?

Answers

Answer:

if you meant factor then 1, 2, 3 and 6

Answer:

1,2,3,6

Step-by-step explanation:

A factor of a number is any number that can go evenly into another number.

1 x 6 = 6

2 x 3 = 6

So, 1,2,3,6 are factors of 6

Tell me if I wrong.

If right, can I have brainliest

Two basketball players average the same number of points per game. What information would be most helpful in determining
which player's game performances show the least variability?
the most and least points each player has scored in a game
the number of games each player has played
O the average number of points each players team scores per game
the total number of points each player has scored

Answers

Answer:

the average number of points each team scores per game

Step-by-step explanation:

Answer:

B. the number of games each player has played

Step-by-step explanation:

What is the answer to this

Answers

Answer:

I'm not totally sure but i want to help as best i can the graphs i narrowed it down to are a and c because the equation is less than or equal to its a dotted line and i think it would be answer c

Step-by-step explanation:

PLEASE ANSWER!!! I NEED HELP!!!

Answers

Answer:

Third Option

Step-by-step explanation:

sqrt(13 = 3.6055512754639893

3.6

Can someone please give me the right answer to this question please???

Answers

Answer:

x=87 degrees

Step-by-step explanation:

Answer:

The answer is 87 degrees.

Step-by-step explanation:

All angles in a triangle add up to 180 degrees

37 + 56 = 93

180 - 93 = 87

Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10. If both the cube and card have the same number, Lin gets another turn. Otherwise, play continues with the next player. What is the probability that Lin gets another turn?

Answers

Answer:

6/60

Step-by-step explanation:

The probability that Lin gets another turn, P(E) could be 6/60

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

We are given that Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10.

Therefore,

P(E) = Number of favorable outcomes / total number of outcomes

Outcomes of cube = { 1, 2, 3, 4, 5, 6}

Outcome of Card = {1, 2, 3} from each group.

when both the cube and card have the same number, then Lin gets another turn.

The probability that Lin gets another turn, P(E) =6/60

P(E) = 1/10

Learn more about probability here;

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Please help fast!!!

Answers

Answer:

whats the question

Step-by-step explanation:

ask the question

\

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A magnet moved near a coil of wire can cause a(n)to flow.A. electric currentB.protonsc. magnetic fieldD.neutrons Our goal here is to predict whether an accident just reported will involve an injury (MAX_SEV_IR = 1 or 2) or will not (MAX_SEV_IR = 0). For this purpose, create a dummy variable called INJURY that takes the value "yes" if MAX_SEV_IR = 1 or 2, and otherwise "no." Think about what you've learned about how particle motion is related to temperature.Select all of the statements that are true.1. The average kinetic energy of the particles in a substance determines thesubstance's temperature.2. If the particles in two pure substances have the same average speed, thesubstances can have different temperatures.3. When two substances have the same temperature, all of the particles inboth substances are moving at the same speed.4. How fast a substance's particles are moving determines how hot or coldthe substance is. If the interest rates are the same on a CD, which compounding pays more interest?annuallysemi-annuallymonthlyquarterly I need help in choir please Number of solutions of quadratic equations What is parthenolide A result of Japan's attack on Pearl Harbor was Which number has the least absolute value? A)30 B)10 C)20 D)40 Consider the following three-step reaction pathway.Step 1: (CH3)3AUPH3 (CH3)3Au + PH3 (fast)Step 2: (CH3)3Au (CH3)Au + C2H6 (slow)Step 3: (CH3)Au + PH3 (CH3)AuPH3 (fast)Which is the correct list of reaction intermediates from the reaction pathway above?A.) (CH3)3AuPH3, (CH3)3Au, and (CH3)AuB.) PH3 and (CH3)AuC.) (CH3)3AUPH3 and C2H6D.) PH3, (CH3)3Au, and (CH3)Au Add the polynomials (4x+11)+(12x+2) _______ or radioactive substance have a half life. HERD BEHAVIOR by CommonLit Staff Herd behavior is a term used to describe the tendency of individuals to think and act as a group. As you read, take notes on the causes of herd behavior. Associated Explainer "Herd of Goats" by Unknown is in the public domain. BACKGROUND [1]The term herd behavior comes from the behavior of animals in herds, particularly when they are in a dangerous situation such as escaping a predator. All of the animals band closely together in a group and, in panic mode, move together as a unit. It is very unusual for a member of the herd to stray from the movement of the unit. The term also applies to human behavior, and it usually describes large numbers of people acting the same way at the same time. It often has a connotation1 of irrationality, as peoples actions are driven by emotion rather than by thinking through a situation. Human herd behavior can be observed at large-scale demonstrations, riots, strikes, religious gatherings, sports events, and outbreaks of mob violence. When herd behavior sets in, an individual persons judgment and opinion-forming process shut down as he or she automatically follows the groups movement and behavior. EXAMPLES OF HERD BEHAVIOR Herd behavior in humans is frequently observed at times of danger and panic; for example, a fire in a building often causes herd behavior, with people often suspending their individual reasoning and fleeing together in a pack. People in a crisis that requires escape will attempt to move faster than normal, copy the actions of others, interact physically with each other, and ignore alternative strategies in favor of following the mass escape trend. Another commonly cited example of human herd behavior is the phenomenon of stock market bubbles. Large stock market trends often begin and end with a mass frenzy of buying (bubbles) or selling (crashes). Many observers see these stock market trends as examples of herding behavior because individuals are driven by emotion rather than reason to join the crowd; greed drives mass buying frenzies, and fear drives crashes. BEHAVIOR IN CROWDS [5]A more obvious example of human herd behavior occurs in dense public crowds or mobs. Crowds that gather because of a grievance or protest can involve herding behavior that becomes violent. Psychologists posit that a group mind can overtake a mob and embolden people to act in ways they would not individually, increasing the likelihood that situations become violent. Sporting events can also create herd behavior on a violent scale. The football hooliganism prevalent in Europe in the 1980s is a well-known example of sports-related herding behavior and violence. Overzealous fans of football teams often engaged in unruly or destructive behavior in the name of supporting their team and intimidating the rival team, to the extent that people involved could be badly injured or even killed. Some historians believe that Adolf Hitler purposefully took advantage of herd behavior psychology by planting a significant number of undercover German officers in the crowds at his speeches. These officers would enthusiastically cheer for Hitler, and the rest of the crowd followed suit, making it seem as if the entire crowd supported Hitler. These speeches would then be broadcast to a larger public audience, magnifying the effect. EVERYDAY DECISION-MAKING Herd behavior does not always have such harmful effects; it can be influential in peoples everyday, simple decisions. For example, suppose that a family is walking down the street looking for a restaurant to have dinner. If they pass a restaurant that is empty and one that is relatively crowded with patrons, they are far more likely to choose the crowded one, on the assumption that its better because there are more people there. Herding can be subtle in this way; it simply involves peoples tendency to follow a crowd rather than carve out an individual path in many situations. How does paragraph 7 contribute to the development of ideas in the article? What is [H30+] in a solution with a pH of 10.4? In a Fox News Poll conducted in October 2011, 904 registered voters nationwide answered the following question: "Do you think illegal immigrants who have lived in the United States since they were children should be eligible for legal citizenship, or not?" 63% answered "should be" eligible for legal citizenship with a margin of error of 3% at a 95% level of confidence. Which of the following statements is correct? a) We are 95% confident that 63% of all registered voters nationwide will answer "should be." b) We are 95% confident that between 60% and 66% of all registered voters nationwide will answer "should be." c) We are 95% confident that between 63% and 66% of all registered voters nationwide will answer "should be." d) 95% of the 904 registered voters in the sample answered "should be."