The value of pie upto 35 decimal places is given below: 3.1415926......

Answers

Answer 1

Step-by-step explanation:

The exact question is as follows :

Given - The value of π up to 35 decimal places is given below:

3.14159265358979323846264338327950288

To find - Make a frequency distribution of the digits 0 to 9 after the decimal point.

Proof -

The Frequency Distribution Table for digits after decimal point in the value of Pi is :

Digits        Frequency after decimal point

0                               1

1                               2

2                               5

3                               6

4                               3

5                               4

6                               3

7                               2

8                               5

9                               4

Total Digits =               35

The Value Of Pie Upto 35 Decimal Places Is Given Below: 3.1415926......

Related Questions

what is the equation of a line that is parallel to y=35x−7 and passes through (15, 8)? enter your answer in the box.

Answers

Answer:

y = 35x - 517.

Step-by-step explanation:

y=35x−7

This line has a slope of 35so we can write a line parallel to it as

y - y1 = 35(x - x1) where (x1, y1) is a point on the line.

We are given this point (15, 8), so:

y - 8 = 35(x - 15)

y = 35x - 525 + 8

y = 35x - 517  is the required equation.

Rob purchased picnic food for $33.20 to share with three of his friends.
They plan to split the cost evenly between the four friends. How much
does each person need to pay Rob?
a. $8.05
b. $8.30
c. $7.26
d. $11.07

Answers

the answer is B.$8.30

What is an
equation of the line that passes through the points (6,8) and (-3, 2)?

Answers

Find slope
(2-8)/(-3-6) = -6/-9 = 2/3
Y = 2/3x + b
8 = 2/3(6) + b, b = 4
Solution: y = 2/3x + 4

when do you think collecting standard deviation would be helpful in understanding your data? are there any situations in your major or future degree or life you think that this may be helpful?

Answers

It aids in comprehending measurements when the data is scattered, standard deviation is significant. The standard deviation of the data will be higher the more evenly dispersed the data is.

Although the standard deviation is a frequently used statistic, it rarely receives the attention it merits. Although the mean and median are frequently mentioned in the news, they are rarely accompanied by any indication of how diverse the underlying data set was, so you only get a partial picture. In actuality, you might be overlooking the most captivating aspect of the tale.

What is Standard deviation?

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

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I don’t know how to solve these graphs. Can you please help me?

I dont know how to solve these graphs. Can you please help me?

Answers

The equation of the line with slope m and y-intercept b is given by:

\(y=mx+b\)

In this case the slope is 5 and the y-intercept is -2; then we have that the equation of the line is:

\(y=5x-2\)

Now that we have the equation of the line we can use it to find points on the line, we do that by given values to x (whichever values we want) and use the equation to determine its corresponding y value.

If x=0, then we have:

\(\begin{gathered} y=5(0)-2 \\ y=-2 \end{gathered}\)

Hence, the line passes through the point (0,-2).

If x=1, then we have:

\(\begin{gathered} y=5(1)-2 \\ y=5-2 \\ y=3 \end{gathered}\)

Hence, the line passes through the point (1,3).

Now that we have two points on the line we graph them on the plane:

Finally, we join the points with a straight line. Therefore, the graph of the line is:

I dont know how to solve these graphs. Can you please help me?
I dont know how to solve these graphs. Can you please help me?

The range of a linear transformation defined by the matrix transformation t(x)= ax is equal to the column space of matrix a (col a).

true or false

Answers

True, The range of a linear transformation defined by the matrix transformation t(x) = Ax is equal to the column space of matrix A.


The range of a linear transformation defined by the matrix transformation t(x) = ax is equal to the column space of matrix A (col A).

The range of a linear transformation is the set of all possible output values. In this case, the matrix A represents the transformation, and the column space of matrix A represents the span of the columns of A. The column space of matrix A is the set of all possible linear combinations of the columns of A.

To prove that the range of the linear transformation t(x) = Ax is equal to the column space of matrix A, we can show that every vector in the column space of A can be obtained as an output of the transformation t(x) = Ax. Additionally, we can show that every output of the transformation t(x) = Ax belongs to the column space of A.


Therefore, it is true that the range of a linear transformation defined by the matrix transformation t(x) = Ax is equal to the column space of matrix A.

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The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.

A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0.

Table B: Frequency of Foreign-Language Studies by Row

A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0.

Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Table A, because the given condition is that the student is in high school.
Table A, because the given condition is that the student is taking a foreign language.
Table B, because the given condition is that the student is in high school.
Table B, because the given condition is that the student is taking a foreign language.

Answers

Option fourth ''Table B, because the given condition is that the student is taking a foreign language" is correct.

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.

We have two tables given in the question.

The conditional relative frequency tables show the results of a survey asking students whether they are taking a foreign language or not.

The condition is: "Assuming a student is taking a foreign language"

Table B can be used to answer the above statement.

Thus, option fourth ''Table B, because the given condition is that the student is taking a foreign language" is correct.

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Answer:

Option b: Table A, because the given condition is that the student is taking a foreign language.

Step-by-step explanation:

on ed

help me please help me plz help me plz ​

help me please help me plz help me plz

Answers

1.c
2. 3, 1 and then 2
3.a
4. b

please solve this...

please solve this...

Answers

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

please solve this...

B.



zoom in



Find the value of the variables for



which ABCD must be a parallelogram.



~ 3x



X



3



3y



3y



D



21



Required



X =



?/1



I



22



Required



y =



?/1

.



D

Answers

Given a quadrilateral ABCD, with the sides AB and DC parallel and equal in length. Let us denote angle BAD as ∠α and angle ADC as ∠β. Now, we have to find the values of the variables x and y such that ABCD is a parallelogram.

Parallelogram has a pair of parallel sides. So, we have AB ∥ CD. It is given that ∠α = ∠β and AB = CD. So, by angle-angle-side rule, the two triangles ABD and DCA are congruent.

In triangle ABD, we have:∠DAB = 180° - ∠α = 180° - ∠β (as ∠α = ∠β)⇒ ∠DAB + ∠CDA = 180° (linear pair of angles)⇒ ∠CDA = ∠β.In triangle DCA, we have:∠CDA = ∠β (as obtained above)⇒ ∠CAD = ∠α (as ∠α = ∠β)⇒ ∠BDC = 180° - ∠α = 180° - ∠β (linear pair of angles)⇒ ∠BDC = ∠DAB.In quadrilateral ABCD, the adjacent angles are supplementary. So, we have:∠BDC + ∠BCD = 180° (adjacent angles are supplementary)⇒ ∠DAB + ∠BCD = 180° (as ∠BDC = ∠DAB)⇒ ∠BCD = 180° - ∠DAB.In triangle ACD, we have:∠C = ∠C (common)⇒ ∠CAD + ∠BCD = 180° (angles of a triangle add up to 180°)⇒ ∠α + (180° - ∠DAB) = 180°⇒ ∠α + ∠β = 180°.

Now, we can solve for x and y.In triangle ABD, we have:AB = BD⇒ 3x = 21 - x⇒ 4x = 21⇒ x = 21/4.In triangle DCA, we have:CD = DA⇒ 3y = 22 - y⇒ 4y = 22⇒ y = 11/2. Therefore, the value of x is 21/4 and the value of y is 11/2.

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Which answers describe the shape below? Check all that apply. Simple answers please

Which answers describe the shape below? Check all that apply. Simple answers please

Answers

Looking at this figure, we can see it has 4 sides, so it is a quadrilateral.

All sides have different sizes, and there are no parallel sides.

So the only description we can use is quadrilateral.

Therefore the only option that applies is B.

In a random sample of 19 residents of the state of Montana, the mean waste recycled per person per day was 1.4 pounds with a standard deviation of 0.7 pounds. Determine the 90% confidence interval for the mean waste recycled per person per day for the population of Montana. Assume the population is approximately normal.
Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places

Answers

The  critical value that should be used in constructing the confidence interval is 1.764≤μ≤2.636

How to determine the critical value?

The given parameters to help us understand this are

The sample size = 19

The sample mean is 1.4

The sample standard deviation is 0.7

The confidence level = 90% = 0.90


The level of significance  = 0.10

The degree of freedom

Df= n-1

The critical value of t using TINV(0.10.11) is

Critₓ = α/2 d.f

t= (0.5,11) = ±1.76

The confidence interval μ = 1.4 ± [(1.796)(0.70)]/√19

Therefore this is equal to 0.76≤μ≤0.04

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What is the change from -1 to 7

Answers

+8 because -1 + 8 = 7
The answer to this question would be 8.

m and n are integers such that 6 < m < n. what is the value of n ? the greatest common divisor of m and n is 6. the least common multiple of m and n is 36.

Answers

When m and n are integers such that 6<m<n, the value of n is 18.

What is multiple?

In mathematics, multiples are the results of multiplying a given number by an integer. Manifold is the basic definition of multiplicity. A multiple is defined in mathematics as the product of one integer multiplied by another number. A multiple of a number is just the product of that number and another non-zero whole number. For instance, 12 is the sum of 2 and 6. 2 and 6 are both non-zero whole numbers.

Here,

We know this because statement 2 tells us that 36 is a multiple of N.

So, let's first list all pairs of values that satisfy statement 2 (as well as the given information):

i) M = 12 and N = 36

ii) M = 18 and N = 36

iii) M = 12 and N = 18

That's it!!

Among these three possible pairs of values, only one pair satisfies statement 1: M = 12 and N = 18

Since it must be the case that M = 12 and N = 18, the target question is N = 18

The value of n is 18 when m and n are integers such that 6<m<n.

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he diameter of a semicircle is 23 centimeters. What is the semicircle's area?

Answers

Answer: in2

Step-by-step explanation:

answerd

What is the prime factorization of 6

Answers

Answer:

So, the prime factors of 6 are written as 2 × 3, where 2 and 3 are prime numbers. It is possible to find the exact number of factors with the help of prime factorisation. The prime factor of the 6 is 2 x 3. The exponent in the prime factorisation is 1 and 1.

:-))

Answer:

Factors of 6: 1, 2, 3, 6. Prime factorization: 2 x 3.

Step-by-step explanation:

Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is Group of answer choices 4 16 2 20 Previous Next

Answers

The standard deviation of this binomial distribution is 4

How to determine the standard deviation?

The given parameters are:

Proportion, p = 20%Sample size, n = 100

The standard deviation is calculated using:

\(\sigma = \sqrt{np(1 - p)\)

So, we have:

\(\sigma = \sqrt{100 * 20\% * (1 - 20\%)\)

Evaluate

\(\sigma = 4\)

Hence, the standard deviation of this binomial distribution is 4

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probability

pls help

probabilitypls help

Answers

Answer:

inbox I think maybe I can help

Please Help Will give brainliest, 5 stars and thanks!

Please Help Will give brainliest, 5 stars and thanks!

Answers

Okay so 0.08L=80mL. 8,000mL=8L. 0.8L=800 mL. And 80mL=0.08L. Hope this all helps

Write an expression equivalent to m+m+m+m+m using a coefficient and a variable.

Answers

Answer:

5m

Step-by-step explanation:

there are 5 m with each a coefficient of one

cómo se resuelve:
10-10×10+10 =?​

Answers

Answer:

the answer is 10

Step-by-step explanation:

plz mark brainliest

Answer:

-80

Step-by-step explanation:

Pemdas method.

PLEASE HELP WILL GIVE EXTRA POINTS TO WHOEVER IS RIGHT

look at picture

PLEASE HELP WILL GIVE EXTRA POINTS TO WHOEVER IS RIGHTlook at picture

Answers

Answer:

I have given two pictures for some visual clarity.

Hopefully my answer will help you.

12) line TQ and line QT are same because both the lines have the same points Q and T and we know that only one line can pass through two points. Hence, the statement is true.

13) Ray JK and ray JL are not the same ray because, although the two rays have a common vertices J they have two different points K and L due to which there exists two different rays that pass through points J and K and through points J and L. Hence the above statement is false.

14) Intersecting lines are coplanar since they always intersect on the same plane. The statement is true.

15) Obviously, four points are coplanar if they exist and lie on the same plane. The statement is true.

16) No, a plane containing two points of a line doesn't contains the entire line because a line doesn't have any end as it keeps on extending in two directions on the plane it lies. Two points can only contain a part of the line also known as line segment. The statement is false.

17) No, two distinct lines can't intersect on more than two one point. If the lines intersect at more than one point then they will become coincident lines(lines which lie on each other).

As the statement says that the lines are distinct, therefore the two lines can't intersect on more than two points. The statement is false.

PLEASE HELP WILL GIVE EXTRA POINTS TO WHOEVER IS RIGHTlook at picture
PLEASE HELP WILL GIVE EXTRA POINTS TO WHOEVER IS RIGHTlook at picture

A fair coin is tossed until either a tail occurs or a total of 4 tosses have been made, whichever comes first. Let X denote the number of tosses.
a) Build the probability distribution of X.
b) Find the mean value of X
c) Find the standard deviation of X.

Answers

The probability distribution of X is 0.5, 0.25, 0.25, and 0.125. Mean value ∑ X × P (X) = 1.875. Standard Deviation of X = 1.0533

a) For a fair coin,

P(H) = P(T) = 0.5

Outcome  X                            Probability

T                  1                                  0.5

HT              2                       0.5×0.5 = 0.25

HHT          3                       0.5×0.5×0.5 = 0.125

HHHT          4                           0.5×0.5×0.5×0.5 = 0.0625

HHHH          4                           0.5×0.5×0.5×0.5 = 0.0625

So, probability distribution of X is

X P(X)

1 0.5

2 0.25

3 0.125

4 0.0625+0.0625 = 0.125

b)

X     P(X)    X×P(X)         X2×P(X)

1     0.5     0.5          0.5

2     0.25      0.5               1

3     0.125    0.375         1.125

4     0.125       0.5            2

sum 1     E(X) = 1.87

c) Variance = E(X²) - E(X)²

= 4.625 - 1.875²

= 1.1094

Standard Deviation of X = √ Variance

= √1.1094

= 1.0533

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the crowd at a sporting event is estimated to be 3000 people. the exact attendance is 2486 people. what is the percent error? pls help :)

Answers

Answer:

%error is the difference between the expected and actual 3000-2486=514 514/3000= 17.33% error

The time required to play a certain game is uniformly distributed between 25 and 45 minutes. Complete parts a through c below. a. Find the expected value and variance of the time to complete the game. The expected value of the time to complete the game is minutes. (Type an integer or decimal rounded to two decimal places as needed.) The variance of the time to complete the game is (Type an integer or decimal rounded to two decimal places as needed.) What is the probability of finishing within 33 minutes? (Type an integer or decimal rounded to three decimal places as needed.) c. What is the probability that the game would take longer than 40 minutes?

Answers

a) Expected value = 50b.

b) Probability = 0.4c.

c) Probability that the game would take longer than 40 minutes is 0.2.

Let's discuss it further below.

In this question, we are given that the time required to play a certain game is uniformly distributed between 25 and 45 minutes. We are asked to find the expected value and variance of the time to complete the game, the probability of finishing within 33 minutes, and the probability that the game would take longer than 40 minutes.

a) To find the expected value and variance of the time to complete the game, we can use the following formulas:

Expected value = (minimum value + maximum value) / 2Variance = [(maximum value - minimum value)²] / 12

Using these formulas, we can calculate:

Expected value = (25 + 45) / 2 = 35Variance = [(45 - 25)²] / 12 = 50b.

b) To find the probability of finishing within 33 minutes, we can use the formula for a uniform distribution:

Probability = (x - minimum value) / (maximum value - minimum value)

Plugging in the values we know, we get:

Probability = (33 - 25) / (45 - 25) = 0.4c.

c) To find the probability that the game would take longer than 40 minutes, we can use the same formula as in part b, but with a different value for x:

Probability = (45 - 40) / (45 - 25) = 0.2

Therefore, the probability that the game would take longer than 40 minutes is 0.2.

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the baa cocktail is to be administered at a dosage of 0.15 cc/kg. the dog weighs 45lb. how many cc will the dog receive?

Answers

Answer: 6.75 cc

Step-by-step explanation:

Determine c such that f(c) is the average value of the function
on the interval [0, 2].

Determine c such that f(c) is the average value of the function on the interval [0, 2].

Answers

The c is equal to half of the definite integral of the function over the interval [0, 2].

To determine c such that f(c) is the average value of the function on the interval [0, 2], we can use the formula for the average value of a function:

avg = 1/(b-a) * ∫(a to b) f(x) dx

In this case, a = 0 and b = 2, so the formula becomes:

avg = 1/2 * ∫(0 to 2) f(x) dx

We want to find the value of c such that f(c) = avg, so we can set these two expressions equal to each other and solve for c:

f(c) = avg
f(c) = 1/2 * ∫(0 to 2) f(x) dx

We can then use calculus to solve for c by finding the derivative of both sides with respect to c and setting them equal to each other:

f'(c) = 1/2 * (f(2) - f(0))

Solving for c gives us:

c = (1/2) * ∫(0 to 2) f(x) dx

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How is this wrong? Please explain to me.

How is this wrong? Please explain to me.

Answers

Answer:

Wrong values are plotted in the question statement graph.

Please find correct graph.

Step-by-step explanation:

Given that:

\(y =x+3\) and \(-1<x<5\)

i.e. we can put a value of x in the equation which is greater than -1 and lesser than 5.

OR

we can say, the points where x = -1 and x = 5 will not be included in the graph (they will be shown as hollow circle).

Now, let us put the values one by one:

x = -1, y = -1 + 3 =2

x = 0, y = 0 + 3 = 3

x = 1, y = 1 + 3 = 4

x = 2, y = 2 + 3 = 5

x = 3, y = 3 + 3 = 6

x = 4, y = 4 + 3 = 7

x = 5, y = 5 + 3 = 8

Therefore, the table of values become:

\(\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 2\\ 0 & 3 \\ 1 & 4 \\ 2 & 5 \\ 3 & 6 \\ 4 & 7 \\5 & 8\\\end{tabular}\end{center}\)

Points (-1, 2) and (5, 8) will not be included in the graph.

Please find attached corrected graph.

How is this wrong? Please explain to me.

Simplify 5 x [(3.14+4.16)x9+2]​

Answers

Answer:

338.5

Step-by-step explanation:

5(7.3×9+2)

5(65.7×2)

5×67.7

338.5

Answer:

338.5

Step-by-step explanation:

__________________________________________________________

\(5\cdot\left(\left(3.14+4.16\right)\cdot9+2\right)\) = \(?\)

\(5\cdot\left(\left(7.3\right)\cdot9+2\right)\) = \(?\)

\(5\cdot\left(65.7+2\right)\) = \(?\)

\(5\cdot\left(67.7\right)\) = \(?\)

\(338.5\)

__________________________________________________________

Hope this helps! <3

__________________________________________________________

chen's pedometer says he walked 5,600 meters today. how many kilometers has chen walked today?

Answers

Answer:

5.6km

Step-by-step explanation:

1km = 1000 meters

5,600 meters = 5.6km

5600 divided by 1000 = 5.6km

So, Chen walked 5.6km today.

Other Questions
A river empties into the ocean; the density of ocean water A student exposes potato cubes to glucose solutions of varying concentrations and records the mass of each cube before and after placing it in the solution. The student records the data in atshown.Glucose SolutionConcentration(M)0.00.10.20.61.0OriginalMass (9)2.082.082.082.072.08FinalMass (9)2.252.162.051.961.75% Changein Mass+8.17+3.84-1.44-5.31- 15.86What can be inferred about the osmosis of water in potato cells?The cells stop gaining water by osmosis in the 0.2 M solution, so the concentration of glucose in the potato cells must be greater than 0.2 M.The cells stop gaining water by osmosis in the 0.2 M solution, so the concentration of glucose in the potato cells must be between 0.1 M and 0.2 M.In the solutions where the cells lose water by osmosis, the original concentration of water in those cells must be less than the concentration of water in the solutions.In the solutions where the cells gain water by osmosis, the original concentration of water in those cells must be greater than the concentration of water in the solutionso please help me with these it is due tomm. Maryann has a partially amortizing mortgage loan with the following information: Original loan amount, $150,000; Annual interest rate, 7.5%; Monthly payment, $1,048.82; Amortization period, 30 years; Term to maturity, 10 years. What will be the balloon payment due when the loan matures at the end of year ten?A. $150,000B. $125,200C. $130,192D. $129,756E. $111.111 Based on the text, evaluations of your self-worth is related to... Group of answer choices self-actualization. self-disclosure. reflective appraisal. self-esteem. Both B and C. Please help Ill mark u brainiest (1) Kendo is a traditional Japanese sword-fighting technique that was originally practiced by warriors known as samurai. Scholars estimate that the sword was first introduced to Japan in 200 B.C. The sword went through many transitions from its original form, and in the middle of the 11th century, it emerged as an elegant weapon with a curved and slightly arched blade.(2) The years passed, and kendo began to take on a new form. In the late 1800s, bamboo swords called shinai took the place of iron swords, and warriors began to wear protective armor to protect themselves from injury. When the samurai class was abolished in 1868, the practice of kendo began to decline. A few years later, the practice was revived and was used to train police officers.(3) By the end of the 12th century, unrest in the government led to the development of a warrior class. The samurai elevated sword making into a revered art form. From the 14th to the 16th centuries, prestigious sword fighting schools developed to help warriors hone their skills.(4) The Dai Nippon Butoku Kai, a martial arts organization, was established in 1895. More than a decade later, kendo was added to the physical education curriculum in Japanese middle schools. Kendo again suffered a decline after World War II. It wasn't until 1952 that a new form of kendo called "Shinai Kyogi" was created and introduced into public schools. Today, kendo is growing in popularity around the world.39What is the best order for paragraphs 2, 3, and 4?A. 3, 2, 4B. 2, 4, 3C. no changeD. 4, 3, 2Plz help , i A tensile load of 190 kN is applied to a round metal bar with a diameter of 16mm and a gage length Of 50mm. Under this load the bar elastically deforms so that the gage length increases to 50.1349 mm and the diameter decreases to 15.99 mm. Determine the modulus of elasticity and Poisson s ratio for this metal. use either present simple or present progresive ASAP PLS TY! mariela believes that ancestral spirits caused her mother's illness. which illness-causation theory does mariela believe? How much agco is formed when 25.0 ml of 0.200 m agno is mixed with 50.0 ml of 0.800 m naco? the authors perspective in source 2 best illustrates the fact that one of the motivations for irrational anti-gay attitudes and behaviors that has been proposed is a psychological defense mechanism called a(n): 1.Particles are spaced the farthest apart in _____ and are the closest in ______. Select the answer that best completes the sentence.liquids; solidsgases; liquidssolids; gasesgases; solids Does anyone know this? Pls help its 7th grade math A comedy of manners is a type of dramatic comedy that___the rules and behaviors of a society. If you heat an ice bucket of water for several hours until only a small amount of ice remains, the temperature of water will be The width of a rectangular park is 4m shorter than its length. If the area ofthe park is 320m?, find the length and the width. why have factories and cities developed around the fall line in georgiaA. ports along the coast allow for trade with states and countries. B. it is a good midway point between the mountains and the coast. C. swamps with diverse birds and wildlife draw tourists every year. D. waterfalls and rapids provide waterpower for machines which nursing assessment question will help establish the appropriateness of prescribing aspirin to manage a client's clotting issue? (select all that apply.) Answer the following questions: 1. What's a business model? 2. What are the 9 parts of a business model? 3. What are hypotheses? 4. What is the Minimum Feature Set? 5. What experiments are needed to run to test business model hypotheses? 6. What is market size? 7. How to determine whether a business model is worth doing?