1. What is pi?

2. And why is it important?

Answers

Answer 1

Answer:

pi [π] is the ratio of a circle's circumference to its diameter, and it is constant [meaning it is always the case] for all circles.

{this is a long number, 3.141592653589793238... is not even the full length, but 3.14 [or 3.14159] is typically used for estimation}

The significance of pi is typically centered in math--it can be used to find values that we don't know of circles. There are other areas of math that have been related back to the value of pi--which is incredible, and genuinely relevant.

We can find pi in the shape of rivers, physics--including waves--DNA

[+ anywhere there is a circle]

hope this helps!! :)

Answer 2

Answer:

ratio of circle's circumference to diameter

it is constant


Related Questions

THE LENGTH OF A PAINTING OF A TREE IS 2/9 OF THE LENGTH OF THE ACTUAL TREE. IF THE LENGTH OF THE PAINTING OF THE TREE IS 16 INCHES, WHAT IS THE LENGTH IN INCHES OF THE ACTUAL TREE

Answers

The length of the actual tree will be 72 inches.

Fraction is the portion of a total amount where the above part of the fraction is the denominator and the bottom part of the fraction is called the numerator.

The equation whose highest degree of the variable is 1 is called a linear equation.

Here given that the length of a painting of the tree is 2/9 of the actual length of the tree.

So mathematically the length of a painting= (2/9)*the length of actual tree

Let the length of the actual tree is x

then from above it is clear that the length of a painting of the tree= (2/9)x

Given the length of the painting is 16 inches.

So the linear equation will be (2/9)x= 16

⇒ x= 16/(2/9)

⇒x= 16*9/2

⇒x=72 inches

Therefore the length of the actual tree will be 72 inches.

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If 3x − 6 ≤ f(x) ≤ x2 − 3x + 3 for x ≥ 0, find lim x→3 f(x).

Answers

Answer:

Step-by-step explanation:

Use the moving and additivity principles to explain and she weighs why the next triangle has an area of 1/2 (b*h) Square units for the given choices of B and H. One! If it naturally with the expression b*(1/2h) and the other should fit naturally with the expression 1/2(b*h)

Answers

Answer: The given triangles have an area [tex]1/2[/tex] × [tex]base[/tex] × [tex]height[/tex]

Step-by-step explanation:

The moving principle states that if you move a shape rigidly without stretching it the area does not change whereas the additivity principle states that if you combine different shapes without overlapping them then the area is the cumulative sum of each of the figures.

Since both, the principle will give out the same answers. the arrangement for the expression can be manipulated also.

For the first triangle applying the moving principle gives,

Area  [tex]=[/tex] [tex]b[/tex] × [tex](\frac{1}{2}[/tex] · [tex]h)[/tex]

For the second triangle applying the additivity principle,

Area [tex]=\frac{1}{2}[/tex] ([tex]b[/tex] · [tex]h[/tex])

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2
3
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The functions f(x) and g(x) are graphed.
3
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"AssessmentViewer(Ant
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g(x)
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Which represents where f(x) = g(x)?
Of(2)= g(2) and f(0) = g(0)
f(2)= g(0) and f(0) = g(4)
Of(2)= g(0) and f(4) = g(2)
Of(2)= g(4) and f(1) = g(1)
Save and Exit

Answers

Answer: Option 1

Step-by-step explanation:

The graphs intersect at x=0 and x=2, meaning f(2)=g(2) and f(0)=g(0).

The functions have the intersecting points at x = 2 and x = 0 and the relation is f ( 0 ) = g ( 0 ) and f ( 2 ) = g ( 2 )

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the first function be represented as f ( x )

Let the second function be represented as g ( x )

Now , the function f ( x ) is a parabolic function and g ( x ) is a linear function

And , the intersecting points of both f ( x ) and g ( x ) are

x = 2 and x = 0

So , both the functions f(x) and g(x) intersect at two points, one at x = 2 at the x-axis in the graph and one at y = 4 at y-axis of the graph

Therefore , f ( 0 ) = g ( 0 ) and f ( 2 ) = g ( 2 )

Hence , the functions are solved

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which of the following would be an acceptable first step in simplifying the expression tan^x/1+sec^x

Answers

The first step is replacing the given trigonometric functions by simpler ones and then taking the product of the denominators.

Which is the first step to simplifying the given expression?

Here we have the expression:

[tex]\frac{tan(x)}{1 + sec(x)}[/tex]

Remember that:

[tex]tan(x) = \frac{sin(x)}{cos(x)}\\ \\sec(x) = \frac{1}{cos(x)}[/tex]

Replacing that would be the "step zero", we can write:

[tex]\frac{tan(x)}{1 + sec(x)} = tan(x)*\frac{1}{1 + sec(x)} = \frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} }[/tex]

The first step to simplify this, is taking the product between the denominators:

[tex]\frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} } = sin(x)*\frac{1}{cos(x) + \frac{cos(x)} {cos(x)} } = \frac{sin(x)}{cos(x) + 1}[/tex]

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Answer:

tanx(1-secx)/(1+secx)(1-secx)

Step-by-step explanation:

aP E

If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.

Answers

Both are not earning different salaries.

If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are not earning different salaries.
Study determines that there is not any significant study so thats why both are not earning.


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Timothy is an hourly employee and he can work maximum of 40 hours in a week. If the weekly salary depends on the number of hours (h) worked, what will be the domain of the function in this context?

a. h < 40, h ∈ Z
b. h ≥ 0, h ∈ R
c. 0 ≤ h ≤ 40, h ∈ R
d. h ≤ 40, h ∈ R

Answers

Answer:

C

Step-by-step explanation:

 0 ≤ h ≤ 40, h ∈ R

Hope this helps :)

which terms could have the greatest common factor of 5m2n2? select two:
m5n5
5m4n3
10m4n
15m2n2
24m3n4

Answers

Answer:

5m4n3 and 15m2n2

Step-by-step explanation:

you just have to find the 2 that each are divisible by 5m2n2, which are 5m4n3 and 15m2n2.

Determine whether each ordered pair is a solution to the inequality x+5y<2.



Select all that apply:

(−8,−1)
(−1,0)
(4,2)
(9,6)
(0,10)

Answers

Two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequality is:-

x + 5y  <  2.

We will check all the points for the inequality:-

(−8,−1) →  x + 5y  <  2.  →  -8 +(5 x -1) < 2  →  -13 < 2 It is inequality

(−1,0)   → x + 5y  <  2   →   -1 < 2 It is inequality

(4,2)    → x + 5y  <  2   →    14 < 2  wrong

(9,6)    → x + 5y  <  2   →    39 < 2 wrong

(0,10)  →  x + 5y  <  2  →    50 < 2 wrong

Therefore the two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

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a telephone company charges $0.98 for the first minute, $0.82 for each additional minute, and a$1.56 service charge if the cost is 11.56 how long did the person talk

Answers

Answer:

12 minutes

Step-by-step explanation:

added in the picture

if p = (-1,-1) find the image of p under the following rotation. 90 degrees counterclockwise about the origin

Answers

Answer:

( 1, - 1 )

Step-by-step explanation:

I need to use factorial the! When you use the binomial probability formula and I need to show step-by-step for for a through c


Given the number of trials and the probability of success, determine the probability indicated: (Hint use binomial distribution formula use factorials ! in showing your work)

n = 15, p = 0.4, find P(4 successes)
n = 12, p = 0.2, find P(2 success )
n = 20, p = 0.05, find P(at most 3 successes)

(hint for c.
P (at most 3 successes) = P(x ≤3)= P(x= 0) + P(x = 1)+ P(x = 2)+ P(x = 3)


Answers

Using the binomial distribution, it is found that the probabilities are:

P(X = 4) = 0.1268.P(X = 2) = 0.2835.[tex]P(X \leq 3) = 0.9841[/tex]

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

Exercise 1:

The parameters are:

n = 15, p = 0.4, x = 4.

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{15,4}.(0.4)^{4}.(0.6)^{11} = 0.1228[/tex]

Exercise 2:

The parameters are:

n = 12, p = 0.2, x = 2.

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{12,2}.(0.2)^{2}.(0.8)^{10} = 0.2835[/tex]

Exercise 3:

The parameters are:

n = 20, p = 0.05.

The probability is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Using the binomial formula for each value and adding them:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9841[/tex]

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Which expression is equivalent to (1−sinβ)(1+sinβ)/cos2β for all values of β for which (1−sinβ)(1+sinβ)/cos2β is defined?
Select the correct answer below:

tan2β
tanβ+secβ
tanβ
sec2β
1

Answers

Answer: Choice E)  1

Work Shown:

[tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}\\\\\frac{1-\sin^2(\beta)}{\cos^2(\beta)}\\\\\frac{\cos^2(\beta)}{\cos^2(\beta)}\\\\1\\\\[/tex]

Therefore, [tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}=1\\\\[/tex] is an identity for all values of β for which the original expression is defined. I used the difference of squares rule for the 2nd step. Then I applied the pythagorean trig identity for the 3rd step.

what is the 10th term for sequence 4; 8; 13; 19; 26​

Answers

Answer:

40

Step-by-step explanation:

24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70​

Answers

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

B. P37.70

evaluate-4x + 2y - z if x = - 2, y = 3, and z = -4

Answers

Answer:

-4(-2)+2(3)-(-4)

8+6+4

16 is the answers

Step-by-step explanation:

please mark me as brainlest

This is part A to one of my questions to help answer the second one, the second question is posted if anyone can help

Answers

Answer:

Step-by-step explanation:

Part A: Since 400 is being multiplied 1.06^t, for it to be equal to 399 the value 1.06^t must be less than 1. The lowest value for t given the domain restriction is 0 which would only result in 1 which will given the initial amount of 400. t would need to be less than 0 for 1.06^t to start going below the value 1 but since there is a domain restriction since t represents time, that value cannot go below 400 to reach 399.

Help, Help, Brainliest available to the best Answer!



Find the Variance

Answers

Considering the given data-set, it's mean and the formula, the variance is of 870 lbs².

What is the variance of a data-set?

The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.

The mean is the sum of all observations divided by the number of observations, hence:

M = (145 + 175 + 180 + 205 + 120)/5 = 165.

And the variance, in lbs squared, is given by:

V = [(145-165)² + (175-165)² + (180-165)² + (205-165)² + (120-165)²]/5 = 870.

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How much acetic acid is in a 5 - liter container of acetic acid and water that is marked 80% acetic acid ? How much is water ?

Answers

I think the question ur asking is what’s the volume of water?? If so then the volume of water is 1L

V
On March 8, 2017, one U.S. dollar was worth 66.79 Indian rupees.
(a) On that date, how many dollars was 110.66 rupees worth?
Round your answer to the nearest hundredth of a dollar.
dollars
(b) On that date, how many rupees was 125.29 dollars worth?
Round your answer to the nearest hundredth of a rupee.
I need help with this problem.

Answers

Answer:

a=1.66

b=8368.12

Step-by-step explanation:

hope it helps

If the volume of the pyramid is 192 yd³; and the area of the base is 64 yd², what is the height measured in yards?

Answers

Answer:

177

Step-by-step explanation:

Write and solve an inequality that means a number plus six is less than or equal to twenty-four.​

Answers

Answer:

Inequality:  x + 6 ≤ 24

Solution:  x ≤ 18

Step-by-step explanation:

Plus:  "+" →  to add something to something else

Less than or equal to:  "≤" → the expression on the left side of the inequality sign is smaller than the expression on the right side of the sign.

Let x be the unknown number.

A number plus 6 is less than or equal to twenty-four:

x + 6 ≤ 24

To solve the found inequality, subtract 6 from both sides:

⇒ x + 6 - 6 ≤ 24 - 6

⇒ x ≤ 18

Therefore, the solution to the inequality is x ≤ 18.  The unknown number x can be any real number equal to or less than 18.

No be n

n+6≤24

Solve

n≤24-6n≤18

Solution set

(-oo,18]

Help me to solve this answer below :((!!!

Answers

Answer:

3/2+1/2+17/2=21/2

Answer: 21/2 hours or 10 1/2 hours

Step-by-step explanation:

To find out the total number of hours needed for all activities scheduled for the day, simply add the needed hours for each activity.

You just need to add them because they have the same denominator.

3/2 for homework

1/2 for home chores

17/2 for sleep

[tex]\frac{3}{2} + \frac{1}{2} + \frac{17}{2} = \frac{21}{2}[/tex] hours

find the value of x y and z?​

Answers

Answer:

Step-by-step explanation:

Dakota has four yardsticks and two 12-inch rulers.If she lays all four of the yardsticks and both rulers end-to-end,what is the maximum number of feet she can measure accurately at once? PLEASE EXPLAIN
E.12 ft
F.14ft
G.16 ft
H.!8ft

Answers

Answer:

[tex]\huge\boxed{\sf 14\ ft}[/tex]

Step-by-step explanation:

Yard sticks = 4

12-inch rulers = 2

All are placed end to end.

Converting yard and inch to feet:4 yardsticks into feets:

We know that,

1 yard = 3 feet

4 yards = 3 × 4 feet

4 yards = 12 feet

2 12-inch ruler into feet:

We know that:

1 inch = 0.083 feet

24 inch = 0.083 × 24 feet

24 inch = 2 feet

The maximum number of feet she can measure exactly:

= 4 yardsticks + 2 12-inch rules

= 12 ft + 2 ft

= 14 ft

[tex]\rule[225]{225}{2}[/tex]

Part B
Assume the statement is true for n=k. Prove that it must be true for n=k+1, therefore proving it true for all natural
numbers, n.
Hint: Since the total number of dots increases by n each time, prove that d (k) + (k+1)=d (k+ 1).

Answers

The inductive step is assuming that the statement is true for some  n = k , where  k  is one of the values we want to prove the statement for, it shows that it is also true for  n = k+1.

How to carry out Mathematical Induction?

Suppose we have the statement 3n > 4n for all positive integers  n.

Now, the statement above is false when n = 1 , since 3 is less than 4. However, it will be true for all other positive integers.

In that case, we can still prove this statement by induction for all integers  n ≥ 2 .

Thus, the inductive step is assuming that the statement is true for some  n = k , where  k  is one of the values we want to prove the statement for, it shows that it is also true for  n = k+1.

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A carpet installer charges a flat rate of $40 + $1.50 per square foot for labor so the total cost for the labor depends on the amount of carpet installed the relationship between the total cost for labor and the amount of corporate installed is the domain of the relation is the range of the relation is

Answers

The domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

A carpet installer charges a flat rate of $40 and $1.50 per square foot for labor.

So the total cost for the labor depends on the amount of carpet installed, the relationship between the total cost for labor and the amount of corporate installed.

Then the domain of the relation is the range of the relation will be

Let y be the total amount and x be the number of square foot.

y = 1.5x + 40

Then the domain of the linear function is (1.5, ∞) and the range of the linear function will be (40, ∞).

The graph is given below.

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The function f(x)=5(x−1) is shown on the coordinate plane.
Select from the drop-down menus to correctly describe the end behavior of ​f(x)​.

As x decreases without bound, the graph of f(x) ______
1. approaches y=0
2. increases without bond
3. decreases without bond

As x increases without bound, the graph of f(x) ______
1. approaches y=0
2. increases without bond
3. decreases without bond

Answers

As x decreases without bound, the graph of f(x)  approaches y = 0

As x increases without bound, the graph of f(x)  increases without bound

What is Function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

f(x)=5^(x−1)

When x -> -∞

[tex]lim_{ x- > -\infty.[/tex] f(x)= 5 ^(x-1) = 0

When x -> ∞

[tex]lim_{ x- > \infty.[/tex] f(x)= 5 ^(x-1) =

Hence,

As x decreases without bound, the graph of f(x) approaches y = 0

As x increases without bound, the graph of  f(x) increases without bound

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An 8-pack of clay pots costs $15.76. What is the unit price?

Answers

Here
Clay pots =8
Price =$15.76
Then unit price =15.6/8
=$1.95

Fill in the blanks find P A And si

Answers

The answer will be Rs. 4330.

Step-by-step explanation:

Because if you subtract 340 from 4670, you will get the answer which is 4330.

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How do you find the median and standard deviation for 3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,10,10,11,11, 11,11,11 Find the value of x ?? A. 31 B. 5 C. 11 D. 25 the money in a bank account increased from $400 to $1000.copy and complete these sentences.a) $1000 is ........% of $400. b) the money has increased by .......% What is the term for producing a current by moving a wire through a magnetic field?. what is 52 + 6 (5 3) 102 = Lucas is given the paragraph below to read andparaphrase.Achilles, a powerful Greek warrior, was thought to beimmortal because he had been submerged in theRiver Styx during infancy. However, because hismother dipped him into the water while holding hisheel, he was left vulnerable in that small spot. Today"Achilles' heel" refers to a weakness that can lead todownfall.Which is the best paraphrase of the paragraph?O Because he was dipped in the River Styx, Achilleswas thought to be immortal. Unfortunately hismother held him by the heel, and he was weak inthat area. An "Achilles' heel" is a weakness that canlead to downfall.O "Achilles' heel" is a term used to describe a weakspot. The phrase comes from the story of a Greeksoldier who was thought to be unbeatable-butwas actually vulnerable.Today the phrase "Achilles' heel" refers to aweakness that can lead to downfall. This refers tothe story of a powerful Greek warrior who had beensubmerged in the River Styx during childhood.The article says, "Achilles, a powerful Greekwarrior, was thought to be immortal because hehad been submerged in the River Styx during In "The tragedy of the Commons", the author does not consider? (A) plant and animal domestication (B) that humans are social and depend on one another (C) the destruction of natural resources or (D) human self-interest Why is the grandmother in "a good man is hard to find" an example of a dynamic character? her complex emotions and actions change with circumstances. she undergoes a hero's journey during the story. she represents an archetype of a family matriarch her actions elicit changes in other characters. Please please help me with my math What theme is supported by the excerpt?It is important to see new sights.People should indulge their curiosities.It is wise to follow the counsel of trusted friends.People should trust their instincts. HELP PLEASE FOR BRAINLIEST AND THANKS!!!!!!!In radishes, red and white are the pure-breeding colors and long and round are the pure-breeding shapes, while the hybrids (heterozygotes) are purple and oval. The cross of a red oval with a purple oval will produce all but which of the following shapes?a. red and ovalb. white and longc. purple and oval.d. red and longe. purple and long Read the excerpt from The Metamorphoses by Ovid.They go down . . . and cast stones, as ordered, behind their footsteps. The stones . . . began to lay aside their hardness and their stiffness, and by degrees to become soft; and when softened, to assume a new form. Presently after, when they were grown larger . . . some shape of man might be seen in them. . . . Yet that part of them which was humid with any moisture, and earthy, was turned into portions adapted for the use of the body. That which is solid, and cannot be bent, is changed into bones. . . . And in a little time, by the interposition of the Gods above, the stones thrown by the hands of the man, took the shape of a man, and the female race was renewed by the throwing of the woman. Thence are we a hardy generation, and able to endure fatigue, and we give proofs from what original we are sprung.Read the excerpt from the adaptation "The Flood by James Baldwin.And so they walked on, down the steep slope of Mount Parnassus, and as they walked they picked up the loose stones in their way and cast them over their shoulders; and strange to say, the stones which Deucalion threw sprang up as full-grown men, strong, and handsome, and brave; and the stones which Pyrrha threw sprang up as full-grown women, lovely and fair. When at last they reached the plain they found themselves at the head of a noble company of human beings, all eager to serve them.So Deucalion became their king, and he set them in homes, and taught them how to till the ground, and how to do many useful things; and the land was filled with people who were happier and far better than those who had dwelt there before the flood.How does the adaptation differ from the original?Baldwin focuses on how the rocks transform into humans, while Ovid simply says that the rocks transform.Ovid explains that women come from Pyrrha and men come from Deucalion, while Baldwin gives a more general explanation of the re-creation of humankind.Ovid says that the humans are immediately created from rocks, while Baldwin says that it takes some time.Baldwin emphasizes how Deucalion becomes a king to the new humans, while Ovid provides details of how humans come about. The mean height of 20 boys and 14 girls is 161 cm. The mean height of 14 girls is 151 cm. Find the sum of the heights of 14 girls. ASAP plsssss! What are two types of oligarchies?When Justice Lewis Powell stated that racial and ethnic distinctions require the most exacting judicial examination, he meant these qualities requiredreliably consistent judgement.exceptionally neutral evaluation. extremely precise consideration.swiftly determined punishment. 1. The graph to the right shows the interaction of the wolf and moose populations on IslePelkie. If the moose population continues to increase, the wolves' food supply will increaseWhat will most likely happen to the wolf population as a result?(DOK-3) (0.5 M)a.b.C.d.Population (in hundreds)6089 88 95040-302010MooseWolves1960 1965 1970 1975 1980 1985 1990 1995YearWolf population will decrease.Wolf population will increase.Wolf population will remain the same.Moose population increases. Write a paragraph about one of these department stores. Describe the clothes, the brands, and the prices. Then compare them to those in the places you shop. PLEASEEE HELPPP!!Using the sheet music example above, please name the parts: ________________________ ________________________ What is this LINE of music called? ________________________ When both of these staves are connected with this symbol, what is this called? ________________________ Please name all 3 things inside of the box: ___________________________________ _________________________ \How could Brent use a rectangle to model the factors of x2 7x + 6?He could draw a diagram of a rectangle with dimensions x 3 and x 4 and then show the area is equivalent to the sum of x2, 3x, 4x, and half of 12.He could draw a diagram of a rectangle with dimensions x + 7 and x 1 and then show the area is equivalent to the sum of x2, 7x, x, and 6.He could draw a diagram of a rectangle with dimensions x 1 and x 6 and then show the area is equivalent to the sum of x2, x, 6x, and 6.He could draw a diagram of a rectangle with dimensions x 4 and x + 3 and then show the area is equivalent to the sum of x2, 4x, 3x, and half of 12. What is the major different between the particles in a liquid and a gas of the same substance at the same temperature? a. The particles in the gas are moving faster than the particles in the liquidb. The particles in a liquid are still connected, but the particles in a gas have separated from each other and now fly around to fill the containerc. The particles in the liquid have higher masses than the particles in the gasd. The particles the gas are separated, so they absorb less heat than normal, which is why gases are typically cooler than liquids In which siutation would breadch of duty of care apply