Determine the volume of the shaded region?

Determine The Volume Of The Shaded Region?

Answers

Answer 1

Answer:

volume of shaded region = 112.94 [tex]cm^{3}[/tex]

Step-by-step explanation:

Volume of a cylinder = [tex]\pi r^{2}h[/tex]

volume = 22/7 * [tex]2.5^{2}[/tex] * 14.6

volume = 286.67 [tex]cm^{3}[/tex] approx

volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]

volume = [tex]\frac{4}{3} *\frac{22}{7}*2.4^{3}[/tex]

volume= 57.91 [tex]cm^{3}[/tex] approx

No, of sphere = 3

Volume of 3 sphere = 3 * 57.91

                                 =173.73 [tex]cm^{3}[/tex]

Now , volume of shaded region = volume of cylinder - total volume of sphere

volume of shaded region = 286.67 - 173.73

                                          =112.94 [tex]cm^{3}[/tex]


Related Questions

Solve d – 0.31 ≥ 1.87 Question 1 options: A) d ≤ 2.18 B) d = 2.18 C) d ≥ 1.56 D) d ≥ 2.18

Answers

Answer:

D) d ≥ 2.18

Step-by-step explanation:

d – 0.31 ≥ 1.87

d >_ 1.87 + 0.31

d >_ 2.18

find the derivative of e power ax divide by log bx​

Answers

Answer:

Step-by-step explanation:

please help me with this question!

Answers

I am un able to see the photo please re try so I can help

a test has 10 multiple-choice questions with 6 choices each, followed by 35 true/false questions. if a student guesses on each equation, how many ways can he answer the questions on the test

Answers

Answer:

6¹⁰×2³⁵

Step-by-step explanation:

he has 6 choices for the first multiple choice question.

and for each of those he had again 6 more choices to answer the second question. 6×6 = 36

so, for all 10 multiple choice questions he answer in

6¹⁰ different ways = 60466176 ways

then there are 35 true/false questions, which are Bausch again multiple choice questions but with only 2 options instead of 6.

so we get 2³⁵ different possibilities. a huge number.

and they're possible for each of the 60466176 ways of the multiple choice part.

so, in total we have

6¹⁰×2³⁵ different answer possibilities.

An employee makes $11.20 per hour but is getting a 6.5% increase. What is his new wage per hour to the nearest cent? His new wage per hour is?​

Answers

Answer:

11.93

Step-by-step explanation:

First find the amount of increase

11.20 *6.5%

11.20 *.065

0.728

Rounding to the nearest cent

.73

Add this to the original wage

11.20+.73

11.93

The correlation between a student’s shoe size and their score on a final exam is −0.79.What conclusions can be drawn based on the correlation coefficient? Select all that apply.



There is a relationship between a student’s shoe size and their final exam score.Big shoe sizes correlate to low exam scores.Large shoe sizes cause students to do poorly on the final exam.As the shoe size decreases, the final exam score increases.Small shoe sizes cause students to do well on the final exam.

(1,2,4) (A,B,D)

Answers

Answer:

The first one, the second, and fourth one are correct.

Select A,B, and D.

ED2021

Answer:

A, B, and C

Step-by-step explanation:

I got it right ;)

True or false? The polynomial 3xy + 4z - 8 is a trinomial.

Answers

Answer:

False is the answer.

Step-by-step explanation:

answer is False.

Answer:

True.

Step-by-step explanation:

A trinomial is an algebraic expression consisting of 3 terms. The terms in this instance are: 3xy, 4z, and -8.

can anyone heelp me







b

Answers

Answer:

B. suggest that you and your boss schedule regular check-ins at lunchtime and at the end of the day

Step-by-step explanation:

It allows you to be ontask at your role (which you are hired for) while at the same time helps your boss know that you are on top of everything. It is the most polite option since you are setting professional boundaries but not complaining and showing frustrations.

(also so that your boss isn't micro-checking on you)

Compare –3.5 and . Use <, >, or =.

–3.5 >

–3.5 <

–3.5 =

Answers

Answer:

-3.5 > -4.5-3.5 < -1.5-3.5 = -3.5

Step-by-step explanation:

Give any integer that suits the expression:-3.5 > -4.5-3.5 < -1.5-3.5 = -3.5• The farther a negative integer from 0, the smaller its value.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Hey guys not good at math please help

Answers

Answer:

3/2

Step-by-step explanation:

Recall that slope is y2 - y1 / x2 - x1.

Excellent. The question provides us with two points: (2,4) and (0,1). We can insert these two points into our equation.

Slope = (4 - 1) / (2 - 0) = 3 / 2.

Hope this helps!

Answer:

3/2

Step-by-step explanation:

(0,1) and (2,4)

(y2-y1)/(x2-x1)

= (4-1)/(2-0)

=3/2

Answered by GAUTHMATH

What fraction is equivalent to 0.46464646...


A)

46∕999

B)

46∕99

C)

23∕50

D)

46∕100

Answers

Answer:

Hello,

answer is B

Step-by-step explanation:

[tex]0.\overline{46}=\dfrac{46}{99}[/tex]

The answer is a fraction with numerator is the period (46) and the denominator is a number made with 9 as longer that there are digits in the  periode (here 2 digits ==> 99)

Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?

After 10 months, the loan and value of the car will both be equal to $7,500.
After 12 months, the loan and value of the car will both be equal to $7,000.
After 14 months, the loan and value of the car will both be equal to $6,500.
After 16 months, the loan and value of the car will both be equal to $6,000.

Answers

Answer:

Step-by-step explanation:

12 months

Answer:

12 months b on edg

Step-by-step explanation:

edg 2022

can someone help me with this and show me how to do it?

Answers

9514 1404 393

Answer:

  5i) f(x) = 3·13^x +5

  5ii) f(x) = -6·(1/2)^x +5

  6) f(x) = 3·8^x -1

  9a) (1, 0), (0, -3)

  9b) (2, 0), (0, 8)

Step-by-step explanation:

5. The horizontal asymptote is y = c. To meet the requirements of the problem, you must choose c=5 and any other (non-zero) numbers for 'a' and 'b'. (You probably want 'b' to be positive, so as to avoid complex numbers.)

i) f(x) = 3·13^x +5

ii) f(x) = -6·(1/2)^x +5

__

6. You already know c=-1, so put x=0 in the equation and solve for 'a'. As in problem 5, 'b' can be any positive value.

  f(0) = 2 = a·b^0 -1

  3 = a

One possible function is ...

  f(x) = 3·8^x -1

__

9. The x-intercept is the value of x that makes y=0. We can solve for the general case:

  0 = a·b^x +c

  -c = a·b^x

  -c/a = b^x

Taking logarithms, we have ...

  log(-c/a) = x·log(b)

  [tex]\displaystyle x=\frac{\log\left(-\dfrac{c}{a}\right)}{\log(b)}=\log_b\left(-\dfrac{c}{a}\right)[/tex]

Of course, the y-intercept is (a+c), since the b-factor is 1 when x=0.

a) x-intercept: log2(6/3) = log2(2) = 1, or point (1, 0)

   y-intercept: 3-6 = -3, or point (0, -3)

b) x-intercept: log3(9/1) = log3(3^2) = 2, or point (2, 0)

  y-intercept: -1 +9 = 8, or point (0, 8)

_____

Additional comment

It is nice to be comfortable with logarithms. It can be helpful to remember that a logarithm is an exponent. Even so, you can solve the x-intercepts of problem 9 using the expression we had just before taking logarithms.

  a) 6/3 = 2^x   ⇒   2^1 = 2^x   ⇒   x=1

  b) -9/-1 = 3^x   ⇒   3^2 = 3^x   ⇒   x=2

On a recent trip to the convenience Store you picked up 4 gallons of milk 4 bottles of water and 5 snack size bags of chips your total was $28.35 if a bottle of water cost twice as much as a bag of chips and a gallon of milk cost $2.10 more than a bottle of water how much does each item cost​

Answers

Answer:

The milk cost $2.10 each the snacks cost $1.535 each the water cost $3.07 each

Step-by-step explanation:

I think Im right

7+4i+1-3i simplify as much as possible

Answers

Answer:

8+i

Step-by-step explanation:

7+4i+1-3i

Combine like terms.

8+i

I hope this helps!

pls ❤ and give brainliest pls

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. Area of larger triangle = 165 ft^2 Thank you!!​

Answers

9514 1404 393

Answer:

  73 ft²

Step-by-step explanation:

The ratio of areas is the square of the ratio of linear dimensions.

  smaller area = larger area × ((10 ft)/(15 ft))² = 165 ft² × (4/9)

  smaller area = 73 1/3 ft² ≈ 73 ft²

Answer:

Area of the smaller triangle = 73 square feet

Step-by-step explanation:

Area of the larger triangle = 165 square feet

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

[tex]\frac{1}{2}(\text{Base})(\text{Height})=165[/tex]

[tex]\frac{1}{2}(15)(\text{Height})=165[/tex]

Height = 22 ft

Since, both the triangles are similar.

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

Let the height of smaller triangle = h ft

Therefore, [tex]\frac{h}{22}=\frac{10}{15}[/tex]

h = [tex]\frac{22\times 10}{15}[/tex]

h = 14.67 ft

Area of the smaller triangle = [tex]\frac{1}{2}(10)(14.67)[/tex]

                                              = 73.33

                                              ≈ 73 square feet

solve the following ineuality -1+6(-1-3x) >-39-2x

Answers

Step-by-step explanation:

(=) 5 (-1-3x) >-39-2x

(=) -5-15x > -39-2x

(=) -13x > -34

=> x < 34/13

-1/5y+7=7
What is the value of y?

Answers

The answer is y=0

See the attached photo for details

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

A random sample of bolts is taken from inventory, and their lengths are measured. The average length in the sample is 5.3 inches with a standard deviation of .2 inches. The sample size was 50. The point estimate for the mean length of all bolts in inventory is

Answers

Answer:

[tex]L_x=5.3 inches[/tex]

Step-by-step explanation:

Average length [tex]\=x =5.3 inches[/tex]

Standard deviation [tex]\sigma=0.2 inches[/tex]

Sample size [tex]n=50[/tex]

Generally The point estimate for the mean length of all bolts in inventory is

[tex]L_x= \=x[/tex]

[tex]L_x=5.3 inches[/tex]

The angle θ between 5i-j+k & 2i-j+k is​

Answers

Step-by-step explanation:

Let,

[tex] \sf \vec{a} = 5 \hat{i} - \hat{j} + \hat{k} \\ \therefore \: \sf \: | \vec{a}| = \sqrt{ {5}^{2} + {( - 1)}^{2} + {1}^{2} } \\ = \sqrt{25 + 1 + 1} \\ = \sqrt{27} \\ \\ \sf \vec{b} = 2\hat{i} - \hat{j} + \hat{k} \\ \therefore \: \sf \: | \vec{b}| = \sqrt{ {2}^{2} + {( - 1)}^{2} + {1}^{2} } \\ = \sqrt{4 + 1 + 1} \\ = \sqrt{6} \\ \\\sf \: \vec{a}. \vec{b} = (5 \hat{i} - \hat{j} + \hat{k}).(2\hat{i} - \hat{j} + \hat{k}) \\ = 5 \times 2 + ( - 1) \times ( - 1) + 1 \times 1 \\ = 10 + 1 + 1 \\ = 12 \\ \\ \sf \: angle \: between \: \vec{a} \: and \: \vec{b} \: = \theta \\ \\ \: so \\ \sf \vec{a}. \vec{b} = | \vec{a}| . | \vec{b}| cos\theta \\ = > \sf \: cos \theta \: = \frac{ \vec{a}. \vec{b}}{ | \vec{a}| . | \vec{b}| } \\ = > cos \theta = \frac{12}{ \sqrt{27} \times \sqrt{6} } = 0.94 \\ = > \theta = {cos}^{ - 1} (0.94) \\ = > \green{\theta = 19.47 ^{ \circ} }[/tex]

A random sample of n1 = 49 measurements from a population with population standard deviation σ1 = 3 had a sample mean of x1 = 9. An independent random sample of n2 = 64 measurements from a second population with population standard deviation σ2 = 4 had a sample mean of x2 = 11. Test the claim that the population means are different. Use level of significance 0.01.
Compute the corresponding sample distribution value. (Test the difference μ1 − μ2. Round your answer to two decimal places.)

Answers

Answer:

The answer is "-3.04"

Step-by-step explanation:

[tex]\to \bar{x_1}-\bar{x_2}=9-11=-2[/tex]

Sample distribution:

[tex]z=\frac{\bar{x_1}-\bar{x_2}- \bar{\mu_1}-\bar{\mu_2}}{\sqrt{\frac{\sigma_{1}^2}{n_1}+\frac{\sigma_{2}^2}{n_2}}}\\\\[/tex]

   [tex]=\frac{(-2)-0}{\sqrt{\frac{3^2}{49}+\frac{4^2}{64}}}\\\\=\frac{-2}{\sqrt{\frac{9}{49}+\frac{16}{64}}}\\\\=\frac{-2}{\sqrt{\frac{576+784}{3136}}}\\\\=\frac{-2}{\sqrt{\frac{1360}{3136}}}\\\\=\frac{-2}{\sqrt{0.433}}\\\\=\frac{-2}{0.658}\\\\=-3.039\\\\=-3.04[/tex]

Ken needs a total of $410 to buy a new bicycle. He has $35 saved. He earns $15 each week delivering newspapers. How many weeks will Ken have to deliver papers to have enough money to buy the bicycle?

Thanks so much! :D

Answers

25 weeks he’ll have all $410 :)

Answer:

25 weeks

Step-by-step explanation:

Since we already know that he has $35 buck-a-roons saved, we can just subtract that from the cost of the bicycle to find the actual price—which would be 375. Then, we know that for every week, he gains $15 bucks. Therefore we know that 15 would be our variable so we can create the following equation:

15x + 35 = 410

15x = 375

15x/15 = 375/15

x = 25

After 25 weeks, Ken will have enough money to buy the bicycle.

17. what is the value of x?

18. what is the value of z?

please help me fast!!

Answers

for x ,

8x + 10x = 180°

[sum of linear pair is equal to 180°]

or, 18x = 180°

or, x = 180/18

therefore, x = 10°……

for z,

10z =8x

[ being corresponding angles are equal ]

or, 10z = 8 × 10°

( replacing x by 10°)

or, 10z = 80°

or, z = 80/10

thus z = 8°…………

Determine the coordinates of the ordered pairs on the coordinate grid.

Answers

Answer:

A = (5,7)

B = (0, -1)

C = (-8, -3)

D = (5, -8)

Step-by-step explanation:

Answer:

A = (5, 7)

B = (0, -1)

C = (-8, -3)

D = (5, -8)

To do these problems, trace along in a straight line from the coordinate to the x- axis line and then to the y-axis line. Whatever number you reach will be part of the coordinate.

Hope this helped.

4 trillion = 4x 10million missing exponent

Answers

Answer:

3

Step-by-step explanation:

im pretty sure

Power Function:

Analyze and model the power function: Exercise 1

(Correctly identify the function and later use it to answer the questions asked, including the development and the answer)

Answers

Answer:

The function is:

f(x) = axⁿ

According to data in the table we have:

f(1) = 3 ⇒ a(1)ⁿ = 3 ⇒ a*1 = 3 ⇒ a = 3f(2) = 12 ⇒ 3*2ⁿ = 12 ⇒ 2ⁿ = 4 ⇒ n = 2

Since we found the values of a and n, the function becomes:

f(x) = 3x²

The number of infected to the tenth day:

f(10) = 3*10² = 300

Find the remainder when f(x) = –2x3 + x2 - 4x + 1 is divided by x + 3.

Answers

Answer:

Step-by-step explanation:

The remainder when f(x) is divided by x + 3 would be 76.

What is remainder theorem for polynomials?

If there is a polynomial p(x), and a constant number 'a', then

[tex]\dfrac{p(x)}{(x-a)} = g(x) + p(a)[/tex]

where g(x) is a factor of p(x).

We have been given a function;

[tex]f(x) = -2x^3 + x^2 - 4x + 1[/tex]

We need to find the remainder when f(x) is divided by x + 3.

So, Let p(x) = x + 3

p(x) = 0

x + 3 = 0

x = -3

Substitute in the given function f(x);

[tex]f(x) = -2x^3 + x^2 - 4x + 1\\\\f(-3) = -2(-3)^3 + (-3)^2 - 4(-3) + 1\\\\f(-3) = 54 + 9 + 12 + 1\\\\f(-3) = 76[/tex]

Thus, the remainder when f(x) is divided by x + 3 would be 76.

Learn more about remainder;

https://brainly.com/question/16394707

#SPJ5

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

Answer:

8192

Step-by-step explanation:

2 cells at beginning, so the equation is (2)*(2^(4t)) where t is in hours. At the end of 3 hours, the cells will be 2*(2)^(12)=8192

on a 25 square grid how many squares need to be shaded to make 60% shaded

Answers

Answer:

15 squares

Step-by-step explanation:

60/100 * 25 = 15

Of the travelers arriving at a small airport, 60% fly on major airlines, 20% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on major airlines, 50% are traveling for business reasons, whereas 70% of those arriving on private planes and 80% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport.

What is the probability that the person
a. is traveling on business?
b. is traveling for business on a privately owned plane?
c. arrived on a privately owned plane, given that the person is traveling for business reasons?
d. is traveling on business, given that the person is flying on a commercially owned plane?

Answers

Answer:

a) 0.55 = 55% probability that the person is traveling on business

b) 0.14 = 14% probability that the person is traveling for business on a privately owned plane.

c) 0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.

d) 0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Question a:

50% of 60%(major airlines)

70% of 20%(privately owned airplanes)

80% of 100 - (60+20) = 20%(comercially owned airplanes). So

[tex]p = 0.5*0.5 + 0.7*0.2 + 0.8*0.2 = 0.55[/tex]

0.55 = 55% probability that the person is traveling on business.

Question b:

70% of 20%, so:

[tex]p = 0.7*0.2 = 0.14[/tex]

0.14 = 14% probability that the person is traveling for business on a privately owned plane.

Question c:

Event A: Traveling for business reasons.

Event B: Privately owned plane.

0.55 = 55% probability that the person is traveling on business.

This means that [tex]P(A) = 0.55[/tex]

0.14 = 14% probability that the person is traveling for business on a privately owned plane.

This means that [tex]P(A \cap B) = 0.14[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.55} = 0.2545[/tex]

0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.

Question d:

Event A: Commercially owned plane.

Event B: Business

80% of those arriving on other commercially owned planes are traveling for business reasons.

This means that:

[tex]P(B|A) = 0.2[/tex]

0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.

Other Questions
What is the name of the building above? Angle ADB and CD are straight lines.angle ADC = 5 x angle CDBWork out the size of angle ADC. Karma was given some birthday money. She puts money in an account. Every month after that, she deposits the same amount of money. The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits. What does the y-intercept mean in this situation 10)KaThe longer base of a trapezoid has endpoints of (-2,- 4) and (4,0). The shorter base contains the point (3, 1).(40)(2)We an equation of the line that contains the shorter base of the trapezoid. Provide valid mathematical reasoning and calculations toyou derived your equaiton.of a trapezoid are parallelSuation and explanation in the space provided.Math symbolsRelationsGeometry B) Rcris ce paragraphe limparfait Salut Mes amis, je vous raconte mes vacances : Nous sommes Bariloche. Cest le mois de Juillet. Il neige tous les jours. Un tapis blanc recouvre les montagnes et les rues, on ne voit plus le soleil. Nous portons des vtements chauds et nous mangeons des ragouts habituellement. Je prends des photos du paysage et je me promne dans la ville. Mon pre et ma sur font du ski, ils partagent cette passion. Ma mre prfre rester lhtel, elle lit toute la journe. Et vous, vous allez en vacances cet hiver ou vous tudiez pour les examens ? Jattends votre rponse, bisous Martin magine that a scientist takes a group of Anolis lizards and introduces them into an enclosure at a research facility in continental South America. He notes that the lizards thrive in this new environment. The fact that Anolis lizards could survive in habitats outside of the Caribbean is a reflection of their ____ niche; their _____ niche is determined by their ability to disperse to other areas as well as predation and resource availability. Malingo read 3/8 of a book on Friday, 1/4 on Saturday and the rest on Sunday. what fraction did he read on Sunday? What is the role of an indicator? Predict how the glucose test strips and iodine would react with the following foods:GrapeTomatoSummer squashOrangeBell pepper Subtract 7 pounds 3 ounces from 10 pounds Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Responses to the survey question "How many pets do you have?" b. Exact heights of the next 100 babies born in a region c. Responses to the survey question "What is your eye color?" d. Exact foot length of humans e. Number of people in families a. Since the outcomes are b. Since the outcomes are countable, this is this is a discrete random variable. random variable. Michaels basement recently flooded. He has a homeowners policy covering flood damage that has a $500 deductible. The total damages to the basement totaled $2500. How much will the insurance company pay in this scenario? A. $500 B. $2500 C. nothing D. $2000 Need help with the answers that have been left Blank dont understand how to do them Use the limit comparison test to determine whether n=19an=n=198n32n2+196+3n4 converges or diverges.(a) Choose a series n=19bn with terms of the form bn=1np and apply the limit comparison test. Write your answer as a fully simplified fraction. For n19, limnanbn=limn (b) Evaluate the limit in the previous part. Enter as infinity and as -infinity. If the limit does not exist, enter DNE.limnanbn = (c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive? What do you think the writer meant by the following quotes? . "The soldiers of course,' said Shmuel as if this was the most obvious thing in the tm ch s ca A1 v A2 1. List the stages of the writing process as discussed in this study unit. 2. During the first stage of the writing process, you must define your _______, _______, and _______. 3. Name and briefly describe five pre-writing activities that can help you decide what to write about. 1. Lee el siguiente fragmento y responde las preguntas. No s qu tiene el acorden de comunicativo que cuando lo omos se nos arruga el sentimiento. Perdone usted, seor lector, este principio de greguera. No me era posible comenzar en otra forma una nota que podra llevar el manoseado: ttulo de "Vida y pasin de un instrumento musical" Yo, personalmente, le hara levantar una estatua a ese fuelle nostlgico, amargamente humano, que tiene tanto de animal triste. Gabriel Garca Mrquez. Textos costeos: Obra periodstica, 1. 2015 a. Con qu regin colombiana asociara un lector promedio el acorden? b. Qu otras manifestaciones de la cultura del Caribe conoces? Menciona al menos 5. Augustine did all the following except What force is behind us when we ride a bike? The density of protists living in the hay infusion is ______________ than the regular pond water. a. significantly lesser b. lesser c. about the same d. greater e. significantly greater