what is the proof that pi is 3.14?​

Answers

Answer 1

Answer:

Step-by-step explanation:

If we consider a circle with a diameter of 7 cm... by superimposing a thread we may find that the circumference is approx. 22 cm.

Now, as we know that

2 pi r = c

d * pi =c

pi = c/d

Hence by dividing 22 by 7, we get 3.14 to two decimal places

[Note: The exact value of pi can never be found... as it is irrational. But for simplicity.. we take it as 3.14]


Related Questions

If you consume 2200 kcal/day and your diet consists of 50% carbohydrates, how many GRAMS of carbs are you eating each day

Answers

You are consuming approximately 275 grams of carbohydrates each day, based on a daily calorie intake of 2200 kcal and a diet consisting of 50% carbohydrates.

To calculate the number of grams of carbohydrates you are consuming, you need to convert the percentage into a decimal and multiply it by the total calorie intake. Since carbohydrates provide 4 calories per gram, you can divide the calorie intake by 4 to get the number of grams.

In this case, 50% of 2200 kcal is 1100 kcal. To convert this into grams, divide 1100 kcal by 4, which equals 275 grams. Therefore, you are consuming 275 grams of carbohydrates each day.

It's important to note that this calculation assumes that each gram of carbohydrates provides 4 calories, which is a general estimate. The actual caloric value may vary depending on the specific types of carbohydrates consumed.

Additionally, individual dietary requirements and preferences may also affect the distribution of macronutrients in a person's diet. It's always recommended to consult with a healthcare professional or registered dietitian for personalized nutritional advice.

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It took the Phillips family 6 hours to drive to their vacation destination. Due to traffic, it took them 8. 7 hours to drive home

Answers

When it takes 6 hours to travel and 8.7 hours to return home, there is a 45% increase in travel time.

What is percent?

A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement. In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Here,

Time take to arrive at vacation destination=6 hours

Time take to arrive at home=8.7 hours

percent increase=(8.7-6)/6*100

=45%

The percent increase in the time taken to come back to home is 45% when they took 6 hours to reach and 8.7 hours to comeback.

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Complete question:

It took the Phillips family 6 hours to drive to their vacation destination. Due to traffic, it took them 8 hours and 42 minutes to drive home. Percentage for Increase or Decrease!!

Joe wants to make a epecial cleaning mixturefor his hardwood floors. He needs 3/4 cup of vinegar,2/4cup of clorox and 1/4 cups of water. How much cleaner does Joe have when he is finished makeing the mixture?

Answers

Answer: 1 1/2.

Step-by-step explanation: Joe is using 3/4 cup of vinegar, 2/4 cup of Clorox, and 1/4 cup of water to make a special cleaning mixture right?  He's going to mix all of those ingredients together, which means that this is an addition problem.  When we add 3/4, 2/4, and 1/4 cups, we add the numerators to get our answer:

3/4 + 2/4 + 1/4 = 6/4, or 1 2/4, or 1 1/2 cups of cleaner in total when we simplify.

Therefore, the total amount of cleaner he makes is 1 1/2 cups.

Let me know if this is right! :)

Part D
? Question
Select all the expressions that result in a product that is a rational number.

Part D? QuestionSelect all the expressions that result in a product that is a rational number.

Answers

The expressions that result in a rational number are given as follows:

4/3 x 12/3.32/4 x 15/4.

What are rational and irrational numbers?

Rational numbers are defined as numbers that can be represented by a ratio of two integers, which is in fact a fraction, and examples are numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating. Examples are integers, fractions and mixed numbers.Irrational numbers are defined as numbers that cannot be represented by a ratio of two integers, meaning that they cannot be represented by fractions. They are non-terminating and non-repeating decimals, such as non-exact square roots.

The square roots of 3 and of 11 are not exact, hence the expressions with these terms are not rational, and the rational numbers are given as follows:

4/3 x 12/3.32/4 x 15/4.

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"
dont know the amount of solution or if there are any?
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of \( x \) that support your conclusion. \[ x-5=-5+x \] The
"

Answers

The equation x - 5 = -5 + x has infinite number of solutions.

It is an identity. For any value of x, the equation holds.

The values that support this conclusion are x = 0 and x = 5.

If x = 0, then 0 - 5 = -5 + 0 or -5 = -5. If x = 5, then 5 - 5 = -5 + 5 or 0 = 0.

Therefore, the equation x - 5 = -5 + x has infinite solutions.

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Which of the following equations models exponential decay? Select all that apply.

Which of the following equations models exponential decay? Select all that apply.

Answers

Answer:

A & D

Step-by-step explanation:

Exponential decay is where the b value (usually the value in parentheses) is less than 1. Anything where that value is less than 1 is decay.

an onion soup recipe calls for 3 2/3 cups of chopped onions. katrina has already chopped 1 1/3 cups of onions. she wants to know how many more cups she needs to chop. HELP PLS

Answers

She need 1 2/3 more cups

Hope this helped :3

Question 3
Determine if this statement is always, sometimes, or never true.
If a < 0, then |a| = -a

Answers

Answer:

the answer is neither

Step-by-step explanation:

An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative. Zero is neither positive nor negative. Two integers that are the same distance from the origin in opposite directions are called opposites.

let the ratio of two numbers x+1/2 and y be 1:3 then draw the graph of the equation that shows the ratio of these two numbers.

Answers

Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

(x + 1/2)/y = 1/3

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

PLEASE HELP! I’ll give brainliest
Over what interval is the graph of y=-|x-2| increasing
A. (2,♾)
B. (-♾,2)
C. (-♾,-2)
D. (-2,♾)

Answers

Answer:

B) (-∞ , 2)

Step-by-step explanation:

The graph increases from the left side up until it reaches where x = 2. I used a graphing calculator.

The interval in which the graph of the function y = -|x - 2| is increasing is (2, ∞) option (A) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The equation of the graph:

y = -|x - 2|

The above equation of the function is a mod function.

The graph of the above function is shown in the picture:

The function is increasing from 2 to ∞

The interval in which the graph of the function is increasing:

(2, ∞)

Thus, the interval in which the graph of the function y = -|x - 2| is increasing is (2, ∞) option (A) is correct.

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PLEASE HELP! Ill give brainliest Over what interval is the graph of y=-|x-2| increasingA. (2,)B. (-,2)C.

Order the following numbers from least to greatest.
Put the lowest number on the left.

37, 63, -20 , 0

Answers

-20, 0, 37, 63 according to the number line

5. The points (4, 1) and (x,-6) lie on the same line. If the slope of the line is 1, what is the value of
X?
(2018)
A. X=-3
B. X=3
C. x= 9
D. x= 11

Answers

\( \frac{1 + 6}{x - 4} = 1\)

\(x - 4 = 7\)

\(x = 11\)

Will give brainliest answer!! Plz help

Will give brainliest answer!! Plz help

Answers

Answer:

10 5 15

4 28 32

correct me if I'm wrong

Instructions:Simplify.Your answer should contain only positive exponents.

Someone help me 11-12 I have to pass this later at 10pm please help:(​

Instructions:Simplify.Your answer should contain only positive exponents.Someone help me 11-12 I have

Answers

11) Answer: \(-\frac{x^{14}}{y^{13}}\)

\(\frac{2xy^{-4}}{\left(x^{-4}y^4\right)^3\left(-2\right)x^{-1}y^{-3}}\)

\(=\frac{2xy^{-4}}{-\left(x^{-4}y^4\right)^3\cdot \:2x^{-1}y^{-3}}\)

\(=\frac{xy^{-4}}{-\left(x^{-4}y^4\right)^3x^{-1}y^{-3}}\)

\(=\frac{x^2y^{-4}}{-\left(x^{-4}y^4\right)^3y^{-3}}\)

\(=\frac{x^2}{-\left(x^{-4}y^4\right)^3y}\)

\(=-\frac{x^{14}}{y^{13}}\)

12) Answer: \(-\frac{1}{u^5v^5}\)

\(\left(\frac{2u^4v^0}{-u^{-2}v^{-1}\cdot \:2uv^{-4}}\right)^{-1}\)

\(=\frac{1}{\frac{2u^4v^0}{-u^{-2}v^{-1}\cdot \:2uv^{-4}}}\)

\(=-\frac{1}{u^5v^5}\)

kennedy needs to order some new supplies for the restaurant where she works. the restaurant needs at least 512 spoons. there are currently 264 spoons. of each set on sale contains 6 spoons, what is the minimum number of sets of spoons kennedy should buy?

Answers

Kennedy needs purchase at least 42 sets of spoons.

Explain the term inequality of numbers?An algebraic expression with two values that are not equal is represented by an inequality. A sign of inequality can be used to show that one of the two variables is larger than, greater than or comparable to, less than, or equal to another value.

The minimum set of spoons needed in the restaurant = 512 spoons.

Available spoons = 264.

Each set on the sale has 6 spoons.

Let the minimum number of spoon set required be 'x'.

Then,

6x + 264 ≥ 512

Solving the in equality.

6x ≥ 512 - 264

6x ≥ 248

x ≥ 248/6

x ≥ 41.33

Thus, Kennedy needs purchase at least 42 sets of spoons.

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20 POINTS!!!!!!!!! pls answer asap

20 POINTS!!!!!!!!! pls answer asap

Answers

Answer:

FD = 26

Step-by-step explanation:

CD = ED --- (secant property)

so, ==>>

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27÷9

x = 3

side ED = 4x + 11 = 4×3 + 11

side ED = 23

side FE = 12

ΔFED = 90° ...... (tangent secant property)

so.........

FE² + ED² = FD² ......... ( by pythagoras theorm)

12² + 23² = FD²

144 + 529 = FD²

673 = FD²

673 = FD

26 = FD

Answer:

26

Step-by-step explanation:

Using the diagram below, correctly identify the angle using the three CAPITAL letter designation.Angle______is a linear pair with respect to angle ACF.

Using the diagram below, correctly identify the angle using the three CAPITAL letter designation.Angle______is

Answers

From the image given, angle BCF is a linear pair with ACF as both of them are on a straight line and add up to 180 degres

BCF

While shopping Marcy spent $59. If the amount she spent is 25% of her savings, how much savings did she have before she shopped

Answers

Answer:

Savings= $236

Step-by-step explanation:

Giving the following information:

Money spent= $59

Proportion of savings= 25% = 0.25

To calculate the total savings before shopping, we need to use the following formula:

Savings= money spent / proportion of savings

Savings= 59 / 0.25

Savings= $236

Factor by grouping: 16x³ +28x² - 28x - 49 = 0
A) (4x²-7) (4x + 7) = 0
B (4x² + 7) (4x + 7) = 0
C(4x² + 7) (4x - 7) = 0
D (4x² - 7) (4x - 7) = 0

Answers

Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

What is factoring by grouping?

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

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What is the range of the function g(x) = |x – 12| – 2?

{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}

Answers

The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

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Determine the hybridization about Br in BrF_3. a.sp b. sp² c.sp³d d.sp³

Answers

The correct answer is d. sp³d. To determine the hybridization about Br (bromine) in BrF3 (bromine trifluoride), we need to count the number of regions of electron density around the central atom and apply the concept of hybridization.

In BrF3, bromine (Br) is bonded to three fluorine atoms (F). Additionally, there is one lone pair of electrons on bromine. The total number of regions of electron density is therefore 4.

The possible hybridization states for 4 regions of electron density are:

a. sp

b. sp²

c. sp³

d. sp³d

To determine the correct hybridization, we need to look at the geometry of the molecule.

In BrF3, the molecular geometry is trigonal bipyramidal, with three fluorine atoms bonded to the equatorial positions and the lone pair occupying one of the axial positions.

Based on the trigonal bipyramidal geometry, the hybridization of bromine (Br) in BrF3 is sp³d.

This means that the 4 electron density regions around bromine involve one s orbital, three p orbitals, and one d orbital, leading to the formation of five sp³d hybrid orbitals.

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what is s for the following function

what is s for the following function

Answers

the answer is 3.
11=3s+2
-2. -2
9=3s
9/3
=3

Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

I HOPE ALL THIS HELPS

RATE AS BRAINLIEST PLS

Each cup serving of cereal has 3 grams of protein. How can you use the graph to determine whether the quantities are proportional, and to find how many grams of protein are in 1 cup of the cereal?

Answers

Answer:

1 cup has 12 grams

Step-by-step explanation:

I might be wrong cause I'm not sure wich problem it is but if I am wrong pls don't come for me at the comments

The selling price of a $10,000 5-year bond will be less than $10,000 if the A. Coupon rate is less than the market interest rate B. Coupon rate is greater than the market interest rate C. Coupon rate is equal to the market interest rate D. Maturity date is less than 5 years

Answers

The correct answer is A. The selling price of a bond is affected by the coupon rate and the market interest rate.

If the coupon rate is less than the market interest rate, investors will not be interested in buying the bond because they can get a higher return elsewhere. This results in the selling price of the bond being less than its face value of $10,000.
The selling price of a $10,000 5-year bond will be less than $10,000 if the:
A. Coupon rate is less than the market interest rate

This is because when the coupon rate (the interest paid by the bond) is lower than the market interest rate, investors would prefer to invest in other options that offer a higher return. Therefore, to attract buyers, the bond's selling price would be discounted to compensate for the lower coupon rate.

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Lin wrote this number sentence to solve a problem: 35+7-5 Which problem was Lin MOST LIKELY trying to solve?
There are 35 students in Mr. Ken's class. There are 7 students in his class who are sick today. How many students in his
class are not sick?
There are 35 students in Mr. Ken's class. During class, 7 more students join the class to watch a movie. How many
students are there in all?
There are 35 students in Mr. Ken's class. There are 7 classes in the school, each with the same number of students. How
many students are in the school?
There are 35 students in Mr. Ken's class. He made 7 groups for reading. He put an equal number of students in each
group. How many students are in each group?

Answers

Answer:

Step-by-step explanation:

Lin wrote this number sentence to solve a problem: 35+7-5 Which problem was Lin MOST LIKELY trying to

true or false: linearity is justified if the residuals are randomly dispersed across the values of a predictor variable.

Answers

Answer: False

Step-by-step explanation: False. Linearity is a property of a mathematical model or equation, not of the residuals of that model. In general, the residuals of a model should be randomly dispersed across the values of a predictor variable if the model is a good fit for the data, but this is not a justification for linearity. Linearity refers to the relationship between the predictor and response variables in a model, and whether that relationship can be adequately represented by a straight line.

Need some help in math

Need some help in math

Answers

Answer: A all you have to do is look where the line is going

Answer:

C

Step-by-step explanation:

under a reflection in the line y = - x

a point (x, y ) → (- y, - x ) , then

(- 1, 6 ) → (- 6, - (-1) ) → (- 6, 1 )

(- 3, 2 ) → (- 2, - (- 3) ) → (- 2, 3 )

C. what does it mean when an element is written inside a circle? at the intersection of two circles? outside the circles

D. do the elements written at the intersection of both circles from a subset of the two sets? Why?

Answers

Answer:

c ) it either shows diameter or radius

d) I am not sure

C. When elements are represented in a Venn diagram (using circles), the placement of elements inside or outside the circles indicates their relationship to the sets being represented.

D. Yes, the elements written at the intersection of both circles form a subset of the two sets.

C. Place an element inside a circle to indicate that it is a member of the set indicated by the circle.

An element that is positioned at the intersection of two circles denotes an element that is a part of both sets that are symbolized by those circles.

Outside the circles: In a Venn diagram, an element that is positioned outside every circle does not belong to any of the sets being represented.

D. This is so because these components are a part of the intersection of the two sets and as such, they are a part of both sets. In set theory, all of the components that are shared by two sets are contained in their intersection. Due to their simultaneous membership in both sets, the elements at the intersection are a subset of both sets.

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Student's t test for correlated groups really reduces to _________.
a.
the sign test
b.
Student's t test for single samples using difference scores
c.
Students t test for independent groups
d.
none of the above

Answers

Answer:

Step-by-step explanation:

Student's t test for correlated groups reduces to Student's t test for single samples using difference scores. Therefore, the correct answer is (b).

In a t test for correlated groups (also known as paired-samples or dependent-samples t test), the same group of participants is measured twice, under two different conditions or at two different times. The difference between the two measurements for each participant is calculated and used as the sample data. The t test for correlated groups compares the mean difference score to zero to determine if there is a significant difference between the two conditions or times.

This can be seen as equivalent to a t test for single samples using difference scores, where the mean difference score is compared to a known or hypothesized value of the population mean difference. In fact, the formula for calculating the t statistic is the same in both cases.

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9. V = 300(1.02)* models exponential
growth, where t represents the number
of years.
a) What is the annual rate of growth?

b) Calculate the monthly rate of growth
to the nearest hundredth of a percent.

Answers

Answer:

  a) 2%

  b) 0.17%

Step-by-step explanation:

Exponential growth is modeled by the equation ...

  y = a·b^x

where 'a' is the initial value, and 'b' is the growth factor.

When x is has units of time, the growth factor 'b' applies over 1 unit of x. The applicable growth factor for different units of time can be found using the rules of exponents applied to the equation written with x expressed in the different units.

The growth rate is related to the growth factor by ...

  b = 1 +r . . . . where r is the growth rate

  r = b -1 . . . . solved for r

__

a)

Your equation is ...

  V = 300(1.02^t)

where t is expressed in years. Then the corresponding annual growth rate is ...

  b = 1.02

  r = b -1

  r = 1.02 -1 = 0.02 = 2% . . . annual rate of growth

__

b)

When the equation is written so that t is expressed in months, it becomes ...

  V = 300(1.02)^(t/12)

  V = 300(1.02^(1/12))^t

Now, the growth factor (per month) is

  b = 1.02^(1/12)

and the monthly growth rate is ...

  r = 1.02^(1/12) -1 ≈ 1.00165158 -1 = 0.00165158

  r ≈ 0.17% . . . . monthly rate of growth

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