the perimeter of this quarter circle with radius, r = 32mm. Give your answer as an expression in terms of π.

Answers

Answer 1

Answer:

16π + 64

Step-by-step explanation:

So the whole circumference is 64π

A quarter is 16π

Then you just have to account for the two radii.

16π + 64

Answer 2

Answer:

C≈201.06

16π + 64

Step-by-step explanation:

Radius: 32mm.

Solved for perimeter

Shape: Circle.

The correct answer to this question is C≈201.06.

You asked for 16π + 64.

Hope this helps.


Related Questions

A recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9. The distribution of number of movies watched per month follows the normal distribution. A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?

Answers

Answer:

We conclude that college students watch fewer movies a month than high school students at the 0.05 significance level.

Step-by-step explanation:

We are given that a recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9.

A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1.

Let [tex]\mu[/tex] = mean number of movies watched by college students last month.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 7.6 movies      {means that college students watch higher or equal movies a month than high school students}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 7.6 movies     {means that college students watch fewer movies a month than high school students}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                          T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean number of movies watched last month = 7.1

            σ = population standard deviation = 0.9

            n = sample of college students = 39

So, the test statistics  =  [tex]\frac{7.1-7.6}{\frac{0.9}{\sqrt{39} } }[/tex]

                                       =  -3.47

The value of z test statistics is -3.47.

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is less than the critical value of z as -3.47 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that college students watch fewer movies a month than high school students.

David has a garden with dimension 11 feet long x 9 feet wide. he wants to enlarge the garden to an area of 126. How much farther will he need to extend the length of the garden to attain his desired

Answers

Length = 11
Width = 9
Area we need = 126
So Area = length * width
126 = 11 * 9
Now.. this is obviously wrong.. they want us to find the correct length..
126 = L * 9
126/9 = L
L = 14
Now since they ask about how much farther you need to extend, take the final and subtract from the original
14 - 11 = 3
Answer is 3.

The equation y = 15x represents the total number of pages read in x days.


Use the equation to complete the table.


a =

b =

c =

d =

Answers

Answer:A= 75

B-150

C-225

D-300

Step-by-step explanation:. Y=15x, so you would take the x axis numbers and times it by 15, and then your answer will be there.

Answer:

order from top to bottom 75  150  225  300

Step-by-step explanation:

Find the surface area of the prism. 3m, 12m, 13m, 5m

Answers

to find the surface area you have to find the area of EACH faces then just add them together and you'll get the answer :) im sorry if i cant give tje. answer because i dont know how the diagram looks like :(

hope this helps

Kim plays a card game with the children. She gives Gareth a card.
Gareth has to guess whether his card is higher or lower than 5 Kim tells him
• there are 10 cards higher than 5
• there are 4 cards lower than 5
Gareth thinks he should guess higher than 5
b) Is Gareth correct?
Explain why you think this.

Answers

Answer:

Yes

Step-by-step explanation:

There are total 10+4 = 14 cards

P(higher than 5) = 10/14 = 5/7

P(lower than 5) = 4/14 = 2/7

There's a higher chance of the card being greater than 5

Step-by-step explanation:

Step 1:  Determine if Gareth is correct

Total number of cards → 10 + 4 → 14

Probability of choosing lower → 4/14 → 2/7

Probability of choosing higher → 10/14 → 5/7

Since 5/7 > 2/7, that means that Gareth is correct be choosing a higher card.

Answer:  Yes

What is the value of the following expression when p = 9? 6p+5

Answers

Find the value of the expression when p equals 9.

So to solve the expression: 6p + 5

We have to plug in the 9 for p

6p + 5 = ?

6(9) + 5 = ?

Then, we multiply solve.

6 x 9 = 54

54 + 5 = 59

Thus, the final value of the expression is 59.

The value of the expression when p is equal to 9 is 59.

Given that,

Expression; [tex]\rm 6p+5[/tex]

We have to determine,

The value of p when p is equal to 9?

According to the question,

Expression; [tex]\rm 6p+5[/tex]

To determine the value of p the calculation must be done in following steps following all the steps given below.

Step1; Substitute the value of p in the expression,

                   [tex]= 6p+5\\\\= 6 \times 9 + 5\\[/tex]

Step2; Solving the expression,

                    [tex]= 6 \times 9 + 5\\\\= 54 +5\\\\=59[/tex]

Hence, The required value of the expression when p is equal to 9 is 59.

For more details refer to the link given below.

https://brainly.com/question/18334317

plzzz help me im Marshmello

Answers

So the right answer is 7.

Look at the attached picture

Hope it will help you..

good luck on your assignment

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

[tex]4(x - 3) = 16 \\ 4x - 12 = 16 \\ 4x = 16 + 12 \\ 4x = 28 \\ \frac{4x}{4} = \frac{28}{4} \\ x = 7[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Stephen and Shane are twins. They came up with a math puzzle . Stéphen says he is (5x + 4) years old, and Shane says he is (10x - 3) years old. What is the value of ? What are their ages?

Answers

We can assume that 5x+4 = 10x-3 if they are twins and the same age, so take 5x from both sides to get 4=5x-3, add 3 to get 7=5x, and divide by 5, so x=1.4. We can then sub this value for x back into one of the equations, so (5x1.4)+4 to see that they are both 11 years old.

rewrite the equation as y-2=-2/3(x-(-1)) to identify a point on the graph

Answers

Answer:

  point (-1, 2)

Step-by-step explanation:

Your equation is shown here in point-slope form, so a point on the graph can be read from the given equation. (No further rewrite is necesary.)

The point-slope form is ...

  y -k = m(x -h)

Comparing this to your given equation ...

  y -2 = (-2/3)(x -(-1))

we see that ...

  k = 2, m = -2/3, h = -1

The point on the graph is (h, k) = (-1, 2).

Answer:

point (-1,2)

Step-by-step explanation:

Suppose b is any integer. If b mod 12 = 5, then 7b mod 12

Answers

The result follows directly from properties of modular arithmetic:

[tex]b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}[/tex]

That is,

[tex]b\equiv5\pmod{12}[/tex]

means we can write [tex]b=12n+5[/tex] for some integer [tex]n[/tex]. Then

[tex]7b=7(12n+5)=12(7n)+35[/tex]

and taken mod 12, the first term goes away, so

[tex]7b\equiv35\pmod{12}[/tex]

etc

Math problem please help

Answers

Answer:

volume = 64 in³area = 96 in²

Step-by-step explanation:

Put the given number into the formulas and do the arithmetic:

  Volume = s³ = (4 in)³ = 64 in³

  Area = 6s² = 6(4 in)² = 96 in²

1. What does this quote mean to you?

2. How can you apply it to your life?

"You exist only in what you do." ~ Federico Fellini

***Must answer with a pharagraph, minimum 5 sentences, just give me your opinion.

Answers

Answer:

My opinion is that you can exist any many things as you navigate through life. This quote is very wrong because you can exist in doing things for other people and not just yourself! You can not be selfish your entire life! I think that you should be for other people! I think that doing stuff for yourself is okay to a certain extent!

Step-by-step explanation:

THIS IS SOOO WRONG( idk tho)

This quote is telling us that you can't exist unless you are doing something worth being remembered for. Through out our lives we all listen to what the world tells us, but not many of us actually do what we want to. We live our lives for someone else, but I plan to change that. Instead of letting the public decide how I should live my life I will live for me. I will work harder in school, become smarter than my parents and grow as a person. I want to be remembered for stepping out of my comfort zone and being different. This is the year that I exist, and show people that I exist for a purpose.

Step-by-step explanation:

Went really deep with this one.

which expression cannot be simplified? A.8x-8 B.8x-x C.8x+5x D.(8+5)x E.-(x+x) why

Answers

Answer:

A.8X-8

Step-by-step explanation:

because you cannot subtract a variable from a non variable hope this helps

Answer

8 * -8

Step-by-step explanation:

Hope this helps have a wonderful day

A 2011 Gallup survey based on telephone and face-to-face interviews with 4,220 adults in China, aged 15 and older suggests that 30% smoke regularly or occasionally. The following is also noted "one can say with 95% confidence that the maximum margin of sampling error is 2.2 percentage points". Which of the following is true based on the results of this survey?
A. If we were to randomly sample another group of 4,220 Chinese adults we would find that exactly 30% of them smoke as well.
B. If the sample size was larger, the margin of error would be larger as well.
C. Exactly 30% of all Chinese adults smoke.
D. We are 95% confident that 25.6% to 34.4% of all Chinese adults smoke.
E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.

Answers

Answer:

E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.

Step-by-step explanation:

x% confidence interval between a and b.

Interpretation: We are x% sure that the true value is between a and b.

In this question:

95% confidence level

30% with a margin of error of 2.2%.

So

30 - 2.2 = 27.8%

30 + 2.2 = 32.2%

So the correct answer is:

E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.



If U = 6 feet, V = 8 feet, W = 3 feet, X = 6 feet, Y = 12 feet, and Z = 4 feet, what is the area of the object?
A. 72 square feet
B. 60 square feet
C. 78 square feet
D. 132 square feet

Answers

Answer:

idk

Step-by-step explanation:

Please help for the 3rd time and not the last time either (:

Answers

Reflection across y and x

Sara uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls

Answers

Answer:  2.3

Step-by-step explanation:

9.2 is divided  by 4 is 2.3 so the last quarter is 2.3

PLEASE HELP

Find the length of BC

Answers

Answer:

BC or n=72

Step-by-step explanation:

ABC≈DEF

[tex]\frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}=k[/tex]

[tex]\frac{54}{9} =\frac{n}{12}[/tex]

[tex]9n=54*12[/tex]

[tex]9n=648[/tex]  (then divide both sides by 9.)

[tex]n=72[/tex]

Evelyn bought stock in a company two years ago that was worth xx dollars. During the first year that she owned the stock, it decreased by 36%. During the second year the value of the stock decreased by 20%. Write an expression in terms of xx that represents the value of the stock after the two years have passed.

Answers

Answer:

0.512xx

Step-by-step explanation:

100% - 36% = 64%

64% = 0.64

thus after 1st yr, she is left with the value of 0.64xx

100% - 20% = 80%

80% = 0.8

thus after 2nd yr, she is left with the value of 0.8 x (0.64xx) = 0.512xx

An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.8 seconds. (Round your answers to three decimal places.) (a) Use an exponential density function to find the probability that a customer waits less than a second for credit card approval. (b) Find the probability that a customer waits more than 3 seconds. (c) What is the minimum approval time for the slowest 5% of transactions

Answers

Answer:

a) 0.426 = 42.6% probability that a customer waits less than a second for credit card approval.

b) 0.189 = 18.9% probability that a customer waits more than 3 seconds.

c) The minimum approval time for the slowest 5% of transactions is 5.39 seconds.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.8 seconds.

This means that [tex]m = 1.8, \mu = \frac{1}{1.8} = 0.5555[/tex]

(a) Use an exponential density function to find the probability that a customer waits less than a second for credit card approval.

This is [tex]P(X \leq 1)[/tex].

[tex]P(X \leq 1) = 1 - e^{-0.5555*1} = 0.426[/tex]

0.426 = 42.6% probability that a customer waits less than a second for credit card approval.

(b) Find the probability that a customer waits more than 3 seconds.

This is P(X > 3).

[tex]P(X > x) = 1 - P(X \leq 3) = 1 - (1 - e^{-0.5555*3}) = 0.189[/tex]

0.189 = 18.9% probability that a customer waits more than 3 seconds.

(c) What is the minimum approval time for the slowest 5% of transactions

This is x for which [tex]P(X \leq x) = 0.95[/tex]

So

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

[tex]0.95 = 1 - e^{-0.5555x}[/tex]

[tex]e^{-0.5555x} = 0.05[/tex]

[tex]\ln{e^{-0.5555x}} = \ln{0.05}[/tex]

[tex]-0.5555x = \ln{0.05}[/tex]

[tex]x = -\frac{\ln{0.05}}{0.5555}[/tex]

[tex]x = 5.39[/tex]

The minimum approval time for the slowest 5% of transactions is 5.39 seconds.

A theater group is having a carwash fundraiser. The group can only wash 45 cars with the amount of soap they purchased. Each car is charged $7. The function f(c) = 7c represents the amount of profit they make per car. Which inequality represents its domain?

Answers

Answer:

The domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].

Step-by-step explanation:

The given function is

[tex]f(c)=7c[/tex]

Where [tex]c[/tex] represents cars. This function models the profits they make.

Now, as you can deduct already, we can define to different domains, the mathematical one and the reasonable one.

The reasonable domain is about all the useful values to the problem. For example, as we are talking about car, they can't wash -5 cars, so negative numbers are excluded. Similarly, they can't wash 6.75 cars, because that would imply an incomplete job.

Therefore, the domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].

(Notice that we specify that the independent valur can only use whole positive numbers only).

According to the picture, whats the answer?

Answers

To do this u need to muliple each side or use Socratic

Please answer this correctly

Answers

Answer:

x =1

Step-by-step explanation:

Assuming the figures are similar, we can use ratios to solve

x        2

---- = -----

4         8

Using cross products

8x = 2*4

8x = 8

Divide by 8

8x/8 = 8/8

x=1

Which is the equation of a hyperbola centered at the origin with x-intercept +\- 3 and asymptote y=2x

Answers

Answer:

[tex]{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}[/tex]

Step-by-step explanation:

The hyperbola has x-intercepts, so it has a horizontal transverse axis.

The standard form of the equation of a hyperbola with a horizontal transverse axis is  [tex]\dfrac{(x - h)^{2}}{a^{2}} - \dfrac{(y - k)^{2}}{b^{2}} = 1[/tex]

The center is at (h,k).

The distance between the vertices is 2a.

The equations of the asymptotes are[tex]y = k \pm \dfrac{b}{a}(x - h)[/tex]

1. Calculate h and k. The hyperbola is symmetric about the origin, so  

h = 0 and k = 0

2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6

a = 6/2 = 3  

3. For 'b': The equation for the asymptote with the positive slope is  

[tex]y = k + \dfrac{b}{a}(x - h) = \dfrac{b}{a}x[/tex]

Thus,  asymptote has the slope of

[tex]\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}[/tex]

4.  The equation of the hyperbola is

[tex]\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}[/tex]

The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.

Answer: c

Step-by-step explanation: edge 23

The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?
area: about in 2

Answers

Answer:

18.85

Step-by-step explanation:

The area of a circle is A= pi × r² (r being the radius)

The radius is half the diamter so the radius would be 6

Plug 6 into the equation for the radius

A = pi × 6²

A = pi ×36

A= 18.85

Estimate the difference to the nearest 10th 0.612-0.185

Answers

Answer:

0.4

Step-by-step explanation:

Round 0.600 - 0.200 = 0.4

Would you rather have a cup of ice cream that hold last a volume of 21.21 inches or a cone that has a radius of 1.5 inches and height of 3 inches?

Answers

Answer:

I will prefer the cone having volume 21.21 cubic inches.

Step-by-step explanation:

A cup of ice cream holds ice cream = 21.21 cubic inches

Since volume of a cone = Capacity of the cone to hold the ice cream

Volume of an another cone having radius (r) = 1.5 inches and height (h) = 3 inches will be,

         V = [tex]\frac{1}{3}(\pi)(r^{2} )(h)[/tex]

           = [tex]\frac{1}{3}(\pi )(1.5)^{2}(3)[/tex]

           = 7.069

           ≈ 7.07 cubic inches

Since the volume of the second cone is less than the first cone, I will prefer the first cone with volume = 21.21 inches³

3 1/2 cups as a multiplication expression using the unit 1 cup

Answers

Answer:

4 1/2

Step-by-step explanation:

Find the equation for the line that passes through the point
(−5,0)

, and that is parallel to the line with the equation
y=−
3
4

x−
21
4

y=−34x−214
.

Answers

Answer:

  y = -3/4x -15/4

Step-by-step explanation:

We assume you mean the given line to be ...

  y = -3/4x -21/4

The slope of this line is -3/4. The parallel line will have the same slope.

__

In point-slope form the equation of the line you seek is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y = -3/4(x -(-5)) . . . . .substitute m=-3/4 and (h, k) = (-5, 0)

  y = -3/4x -15/4

Is a quadrilateral a trapezoid? (True or False)

PLEASE HELP QUICKLY THANK YOU ​

Answers

Answer:

False

Step-by-step explanation:

All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.

Answer:

A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.

Step-by-step explanation:

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