What is the ratio of the circumference of a circle to its radius?

Answers

Answer 1

Answer:

2 pi : 1

Step-by-step explanation:

for every one unit of radius, there are two pi units in the circumference!


Related Questions

What is the equation of the line that passes through the point (6,-4) and has a slope
of-1/3

Answers

__________________________________________________________

[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
__________________________________________________________

[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} and a \emph{point}.}\quad{}\\\\\text{Slope: -1/3 }\\\\\text{Point: (6, -4)}\\\quad{}\\\text{We can use the information above to help solve our question.}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values and solve.}\\\\[/tex]
__________________________________________________________

[tex]\textbf{Solve:}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in -1/3 to m, 6 to x1, -4 to y1 and then solve.}\\\\y - (-4) = -1/3(x - 6)\\\\y + 4 = -1/3x + 2\\\\\fbox{y = -1/3x - 2}[/tex]
__________________________________________________________

[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line would be: \fbox{y = -1/3x - 2}}[/tex]
__________________________________________________________

Tom was able to save 35% more this year than he did last year. If he saved $140 last year, how much did he save this year?

Answers

Answer:

$189

Step-by-step explanation:

35% of 140 = 49

140 + 149 = 189

Tom's total saving this year is $189.

It is a 35 percent increased saving from last year's $140.

What are percentages?

Percentages are fractional values where the denominator is fixed to be 100.

To convert percentage into number, we multiply by 100.

How to solve the question?

In the question, we are informed that Tom was able to save 35% more this year than he did last year.

We are asked if he saved $140 last year, then how much did he save this year.

The increase in Tom's savings = 35% of last year's savings,

or, the increase = 35/100 * 140 (To convert percentage into quantity, we divide by 100).

or, the increase = $49.

Therefore, Tom's total savings this year = Last year's savings + Increase,

or, Tom's total saving this year = $140 + $49 = $189.

Learn more about percentages at

https://brainly.com/question/843074

#SPJ2

What is the slope of the line with the equation y-3=-1/2(x-2)?

Answers

Answer:  [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]y -3 = -\frac{1}{2}(x-2)[/tex]

Write as slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

[tex]y-3=-\frac{1}{2}x + 1[/tex]

     [tex]y = -\frac{1}{2}x+4[/tex]

Therefore, the slope is [tex]-\frac{1}{2}[/tex].

Explaintion needed.

Answers

Step-by-step explanation:

for straight Line AE:

110° + AČB = 180° ( angles on straight line )

A Č B = 70°

for triangle "A C B"

65° + 70° + x = 180° (sum of angles on triangle)

x = 45°

DO THE SAME THING FOR THE UPPER PART ( straight line A E and triangle A D C) PLEASE GIVE ME BRAINLIEST ANSWER

Contamination is a problem in the manufacture of optical storage disks. The number of particles of contamination that occur on an optical disk has a Poisson distribution, and the average number of particles per square centimeter of media surface is 0.1. The area of a disk under study is 100 cm2. Find the probability more than 12 particles occur in the area of a disk under study.

Answers

The probability that more than 12 particles occur in the area of a disk under the study is 0.20844.

The number of particles follows a Poisson Distribution.

A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as  [tex]P(X = x) = e^{-\lambda} \frac{\lambda^{x}}{x!}[/tex] .

In the question, x = 12.

λ = 100*0.1 = 10.

To find : P(X > 12)

P(X > 12) = 1 - P(X ≤ 12) = 1 - poissoncdf(10,12)

As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).

Therefore, P(X > 12) = 1 - 0.79156 = 0.20844.

Therefore, the probability that more than 12 particles occur in the area of a disk under the study is 0.20844.

Learn more about the Poisson Distribution at

https://brainly.com/question/7879375

#SPJ4

The revenue from selling shirts is r(x) = 11x.

The cost of buying x shirts is c(x) = 6x + 20.

The profit from selling x shirts is p(x) = r(x) - c(x).

What is p(x)?

Answers

Answer:

r(x)= 11x

c(x) = 6x + 20

p(x) = r(x) - c(x)

= 11x -( 6x + 20)

= 11x - 6x - 20

= 5x - 20

In a given year, a marketing firm has the following costs: $560,000 in wages and salaries paid to employees; $74,000 in rental payments for office space; and $83,000 for office supplies, advertising, and utilities. In addition, Andrew, the owner of the firm, works for the firm full time (and is not paid a salary, since he receives the firm's profits). If he did not work for the marketing firm, Andrew could earn $130,000 per year working as a marketing manager for another firm.

Answers

Accounting profit when revenue is 700,000 is $-17,000 and economic profit is $-147,000.

Accounting profit when revenue is 750,00 is $33,000 and economic profit is $-97,000

Accounting profit when revenue is 800,000 is $83,000 and economic profit is $-47,000.

Accounting profit when revenue is 850,000 is $133,000 and economic profit is $3000

What is economic and accounting profit?

Accounting profit is total revenue less total explicit cost. Economic profit is accounting profit less implicit cost

Explicit cost = $560,000 + $74,000 + $83,000 =$717,000

Implicit cost = 130,000

Accounting profit when revenue is 700,000: 700,000- 717,000 = $-17,000

Economic profit = $-17,000 - $130,000 = $-147,000

Accounting profit when revenue is 750,000: 750,000- 717,000 = $33,000

Economic profit = $33,000 - $130,000 = $-97,000

Accounting profit when revenue is 800,000: 800,000 - 717,000 = $83,000

Economic profit = $83,000 - $130,000 = $-47,000

Accounting profit when revenue is 850,000: - 717,000 = $133,000

Economic profit = $133,000 - $130,000 = $3000

Here is the complete question:

For each possible amount of total revenue, fill in the accounting profit and economic profit of the marketing firm.

700,000

750,000

800,000

850,000

To learn more about profit, please check: https://brainly.com/question/26181966

#SPJ1

The number of goldfish in a tank is 22, and the volume of the tank is 56 cubic feet. What is the density of the tank?.

Answers

Answer:

0.39??

Step-by-step explanation:

One factor of the function f(x) = x ^ 3 - 9x ^ 2 + 20x - 12 is (x - 6) Describe how to find the x- intercepts and the y-intercept of the graph f(x) without using Show your work and include all intercepts in your answer

Answers

Answer:

Therefore, the y-intercept is (-12, 0)

X +4
2 - 16
lim
X→-4 X

Answers

I'm going to assume you meant to say

[tex]\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16}[/tex]

Factorize the denominator to reveal a removable discontinuity in the limand:

[tex]\dfrac{x+4}{x^2-16} = \dfrac{x+4}{(x+4)(x-4)}[/tex]

In the limit, we're considering values of x *near* -4, and not x = -4 itself. So we can cancel the factors of x + 4 and we're left with

[tex]\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16} = \lim_{x\to-4} \frac1{x-4} = \frac1{-4-4} = \boxed{-\frac18}[/tex]

How to find the point slope form with the slope of 3 and the point of -2/6

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:y-6 = 3(x + 2) [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Equation of line in point - slope form :

[tex]\qquad \tt \rightarrow \:y-y_1 = m(x - x_1)[/tex]

[tex] \tt \:m = slope=3[/tex]

[tex]\tt y_1 = y \: \: coordinate \: \: of \: \: point = 6[/tex]

[tex] \tt \:x_1 = x \: \: coordinate \: \: of \: \: point = - 2[/tex]

Here :

[tex]\qquad \tt \rightarrow \:y - 6 = 3(x - ( - 2))[/tex]

[tex]\qquad \tt \rightarrow \:y - 6 = 3(x + 2)[/tex]

A triangle with vertices at A (0, 0) B (0, 4) and C( 5, 9) is dlated to yeld a triangle with vertices at A(0, 0) , B(0, 10) and C (15, 0) The origins the center of dilation. What is the scale factor of the dilation?
A 1.5
B 2
C 2.5
D 3

Answers

The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

So to find the scale factor:

You take any point listed and pick x or y value, we will be using C. For this point we must use x because y = 0 (side note: if any value = 0 you can not use it if the center of dialtion is on any point on the triangle). The original value of x was 5 and the new one is 15 so new/old. For this example it would be 15/5 which = 3. this number is the scale factor so the answer is D

Quadrilateral VWXY is a parallelogram. Find the measure of V

Answers

Answer: B) 120°

Step-by-Step Solution:

In a Parallelogram, adjacent or consecutive angles are Supplementary.
In the given figure, ∠V + ∠Y = 180°

Therefore,

∠V + ∠Y = 180°
∠V + 60° = 180°
∠V = 180° - 60°
=> ∠V = 120°

Therefore, ∠V = 120°

The work of a student to solve the equation 2(3x-4)= 8 + 2x + 4 is shown below.
Step 1: 2(3x-4)= 8+2x+4
Step 2: 5x6 = 12 + 2x
Step 3: 5x-2x = 12 +6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
O Step 2; 6x6 = 2(6+ x + 2)
O Step 2; 6x8 = 12 + 2x
O Step 3; 5x-2x = 12-6
O Step 3; 5x + 2x = 12 +6

Answers

step 2, 6x +8 = 12+2x

Light travels at 300,000 km/s, how long would it take to travel from the sun which is 148800000 km away

Answers

Answer:

496 seconds

Step-by-step explanation:

148800000 ÷ 300000 = 496

Which graph represents the solution set for the compound inequality below? ---x+ 10 ≥7 X-10≥7
x-10≥7​

Answers

A graph which represents the solution set for the compound inequality is shown in the image attached below.

How to determine the graph?

In order to determine the graph which represents the solution set for the compound inequality, we would evaluate the given inequalities as follows.

Given the following inequalities:

⅓x + 10 ≥ 7

x - 10 ≥ 7

For the first inequality, we have:

⅓x + 10 ≥ 7

Multiply all through by 3;

x + 30 ≥ 21

x ≥ 21 - 30

x ≥ -9  ⇒ x < 9.

For the first inequality, we have:

x - 10 ≥ 7

x ≥ 7 + 10

x ≥ 17.

In conclusion, a graph which represents the solution set for the compound inequality is shown by using the number line in the image attached below.

Read more on inequalities here: https://brainly.com/question/24372553

#SPJ1

In the equation below, variables X and Y represent two matrices. Which property of matrix addition is illustrated below?
X+Y=Y+X
O inverse property
O commutative property
O associative property
O identity property

Answers

The answer is commutative property.

Answer: the answer is b

Step-by-step explanation:

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar triangles. Triangle 1 has side lengths 14, 21, blank. Triangle 2 has side lengths 18, 27, blank.
a.
StartFraction 14 Over 27 EndFraction = StartFraction 21 Over 28 EndFraction = StartFraction 14 Over 27 EndFraction
b.
StartFraction 14 Over 18 EndFraction = StartFraction 21 Over 27 EndFraction = StartFraction 7 Over 9 EndFraction
c.
StartFraction 14 Over 21 EndFraction = StartFraction 18 Over 27 EndFraction = StartFraction 2 Over 3 EndFraction
d.
StartFraction 27 Over 14 EndFraction = StartFraction 28 Over 21 EndFraction = StartFraction 27 Over 14 EndFraction

Answers

The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.

How do the Sides of Similar Triangles Relate?

The corresponding sides of similar triangles have ratios that are equal to each other.

The corresponding sides and their ratios are:

4/12 = 1/3

5/15 = 1/3

Therefore, the ratio of their sides in its lowest term is:

C. 4/12 = 5/15 = 1/3

Learn more about the similar triangles on:

https://brainly.com/question/2644832

#SPJ1

Find the sum of the first 7 terms of the following sequence 3,-5,25/3 Round to the nearest hundredth if necessary.

Answers

This is a geometric sequence with first term 3 and a common ratio of -5/3.

Using the sum of a geometric series formula,

[tex]\frac{3(1-(-5/3)^{7}}{1-(-5/3)} \approx \boxed{41.31}[/tex]

Here is a sketch of y=x^2 +bx+c

Answers

Answer:

Step-by-step explanation:

A large apartment complex has 1,500 units, which are filling up at a rate of 10% per month. If the apartment complex starts with 15 occupied units, how many months will pass before the complex has 800 occupied units? (Assume logistic growth). Round to the nearest tenth.

Answers

The number of months before the complex would have 800 occupied units is 40 months.

How many months before the complex has 800 occupied units?

The formula that can be used to determine the required value is:

(In FV / PV) / r

Where:

FV = 800 PV = present occupancy rate = 15 r = rate of filling up = 10%

(In 800 / 15) / 0.1 = 40 months

To learn more about how to calculate the time, a value would be amassed, please check:  https://brainly.com/question/25760893

#SPJ1

Answer: 47.3 months

Step-by-step explanation:

Vector u has initial point P at (0, 0) and terminal point Q at (5, -8). What are the component form and magnitude of u?
• u = (5, -8): ||u|| = -√89
• u = (5, 8): ||u|| = -√89
• u = (5, -8): ||u|| = √89
• u = (5, 8): ||u|| = √89

Answers

The correct option for the given vector is the third one:

u = (5, -8): ||u|| = √89

What are the component form and magnitude of u?

If the initial point is (0, 0), then the component form of the vector is just equal to the terminal point of the vector.

Then we have:

u = (5, -8)

For a vector w = (x, y) the magnitude is:

[tex]||w|| = \sqrt{x^2 + y^2}[/tex]

In this case, the magnitude will be:

[tex]||u|| = \sqrt{5^2 + (-8)^2} = \sqrt{89}[/tex]

Then the correct option is the third one.

If you want to learn more about vectors:

https://brainly.com/question/3184914

#SPJ1

What is 3m+5m?


>8
>8m
>8m2

Answers

8m all you are doing is adding

Someone or anyone pls help me, I just want the answers pls it’s so urgent

Answers

Step-by-step explanation:

The first question is pretty straight forward, all you have to do is get a ruler and measure how long XY is. Then draw another line that has the same exact length next to it and label it AB, by drawing A and B at the end points like how they did in the line XY

For the second question measure the length of FG and then measure the length of YZ and add the two lengths and then draw a line with that length and then label it CD by labeling the end points C and D.

For the last question measure the length of MN and then divide that length in 2 and then label that midpoint O. for example if I had the same problem and I put my ruler on the line and saw the length was 10 inches, I would go to where it's 5 inches and label the midpoint on the line. You also want to draw a perpendicular line through that midpoint O.


Consider the graph of the function f(x)=-(2)^x + 4

Answers

I have linked a picture with the intervel.

The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A, what is the equation of line B? Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A , what is the equation of line B ? Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms .​

Answers

Answer:

Step-by-step explanation:

If line A is parallel to line B passes through the point (2,7), the equation of line B will be y=3x+1.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the points are (2,7)

The slope of line A is,

m = 6/2

m=3

The equation of the line is,

y-(-1)=3x

y=3x+1

Since the line B is parallel to A the slope of the line is the same,

y-(-7)=3(x-2)

y=3x+1

Thus, if line A is parallel to line B passes through point (2,7), the equation of line B will be y=3x+1.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

Willing to give brainlyest if you can aswer these for me ASAP

Answers

Answer:

65

Step-by-step explanation:

its simple math

Answer:

x+5=12.          x = 7,

7x=21.            x = 3,

b-2/3=5/6.     b = 1.5,

3/4x=6x=8.    x = 1/3,

45=3(x+1).      x = 14,

22.5+1.5x.      x = 15,

20+(5•9).        $65

Step-by-step explanation:

 

Laurie is trying to stay within 10 feet of her current diving depth of –30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?

-30 - x = 10 and -30 - x = –10
-30 + x = 10 and -30 + x = –10
x + 10 = 30 and x + 10 = –30
x – 10 = 30 and x – 10 = –30

Answers

The equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30 so the correct answer is option C.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Diving is the art of going down to the depth of the ocean. Divers usually go deep down in the ocean to study the dynamics of ocean life.

The equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30

Therefore the equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30 so the correct answer is option C.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

Please help!!!!
Write the equation of the circle in general form. Show all your work

Answers

Let's first gather all the information we have:

 [tex]\rm\hookrightarrow Center: (-3, 2)\\\rm \hookrightarrow Radius: 5[/tex]

Let's put that into standard form [tex](x-h)^2+(y-k)^2 =r^2[/tex]

(h, k): center's coordinater: radius

              [tex]\rm \hookrightarrow Equation: (x+3)^2+(y-2)^2 = 5^2[/tex]

To put that equation into general form:

 ⇒ expand all the quadratics on one side and move the radius squared

      to the same side as the quadratics

           [tex](x+3)^2+(y-2)^2 = 25\\x^2+6x+9+y^2-4y+4=25\\x^2+y^2+6x-4y-12=0[/tex]

Answer: x² + y² + 6x - 4y - 12 = 0

Hope that helps!

#LearnwithBrainly!

Point M is 6 units away from the origin. Circle the letter by each pair of possible
coordinates.
A. (3, 0)
B. (4, 2)
C. (5, 3)
D. (0, 6)
E. (4, 4)
F. (1, 5)

Answers

The distance between the points (0, 0) and (0, 6) on the coordinate plane will be 6 units. Then the correct option is D.

What is the distance between two points?

The shortest distance (length of the straight line segment's length connecting both given points) between points (p, q) and (x, y) is:

D² = (x – p)² + (y – q)²

Point M is 6 units away from the origin.

Take option D assuming correct, then the point will be (0, 6)

Then the distance between the points will be

D² = (0 - 0)² + (6 - 0)²

D² = 0² + 6²

D² = 0 + 36

D² = 36

D = 6 units

Then the correct option is D.

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ1

Other Questions
How I cite in this paragraphDespite several shortcomings GDP is commonly used as an indicator of social welfare. Most of the limitations are due to the fact that in essence the concept is not supposed to measure well-being. As a result, GDP fails to account for non-market transactions, wealth distribution, the effects of externalities, and the types of goods or services that are being produced within the economy. To compensate for these issues, different approaches to measuring welfare have been developed, including the Human Development Index (HDI), the Gross National Happiness Index (GNH), and the Social Progress Index (SPI).Raphael Zeder | Updated Jun 26, 2020 (Published Jan 28, 2015) Two different bacterial samples, a and b, were inoculated onto sim media. What can you conclude based on your observations? Why do calculations of recombination frequencies between loci that are far apart on chromosomes underestimate the true genetic distance between the loci?. The largest number of Oscars received by a film in year X was 4. This was different in previous years. Below is a probability distribution for the number of Oscars per Oscar winning film. What is the standard deviation of this distribution Brad is a cardiovascular surgeon in a group practice at Emory University. Within his practice, Brad is the surgeon who puts in stent grafts. Other group members are transplant surgeons and surgeons. This example shows that, unlike goods, services are _______. a. more heterogeneous and less standardized and uniform b. stored, warehoused, and inventoried c. tangible performances d. produced in a centralized location and consumed in decentralized locations bundling products makes sense for the seller when: What is the polynomial? Quick I need answer compare the results of both the RATS and Skipfish reports. The descriptive structure that both authors use heips the reader understand that- How do you calculate sales tax? How do you calculate a discount? Please explain and give examples. Thanks! Congress passed the Tenure of Office Act to stop the president from removing federal officials from office without the approval of the Senate. What was the effect of the Tenure of Office Act?A. It gave more power to the Democrats in office.B. It strengthened the position of the president over Congress.C. It prevented the president from removing former Confederates in office.D. It limited the power of the president of the United States. Select the type of economic system that each statement describes.Traditional Market CommandPlanners that work for the government decide on production of goods and services.Individuals and businesses own the resources that produce goods or services.This system is based on habits or customs that are not likely to change over time. In a test of the effectiveness of garlic for lowering cholesterol, 50 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before-after) in their levels of LDL cholesterol (in mg/dL) have a mean of3.1 and a standard deviation of 16.6. Construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? Click here to view a t distribution table.LOADING... Click here to view page 1 of the standard normal distribution table.LOADING... Click here to view page 2 of the standard normal distribution table.LOADING... What is the confidence interval estimate of the population mean ? Health issues can be addressed in part by the ________ made by doctors and researchers that can help people live longer, healthier lives. Graphing a exponential decay function Recall all the models you described in task 1.(Bohr, Rutherford, Thomson, and Dalton) Think about the results each model would predict for Thomsons experiment. Which atomic models does Thomsons experimental evidence support? Explain why these models are compatible with the experimental results. A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for red, 1/20 for green, 1/15 for purple, and 1/10 for black. What is the probability of pulling a green or red card, written as a reduced fraction? The blue dot is at what value on the number line -3 -1 The ________ glands are paired organs that lie on the medial side of the upper kidney. Correct answers only. Vertical angles, complementary angles, supplementary angles, none of the above. If ur answer is incorrect, I will report u : )