The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 15 cosine (StartFraction pi Over 20 EndFraction t). How long does it take for the waterwheel to complete one turn? 5 seconds 10 seconds 20 seconds 40 seconds.

Answers

Answer 1

Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.

The height is modeled by:

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

The initial height is [tex]h(0) = 15[/tex], hence, one turn is completed when h(t) = 15.

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]15 = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = 1[/tex]

The length of one turn is of [tex]2\pi[/tex], and [tex]\cos{(2\pi)} = 1[/tex], hence, the solution is found according to:

[tex]\frac{\pi}{20}t = 2\pi[/tex]

[tex]t = \frac{40\pi}{\pi}[/tex]

[tex]t = 40[/tex]

It takes 40 seconds to complete one turn.

You can learn more about trigonometric equations at https://brainly.com/question/24680641

Answer 2

Answer:

D. 40 seconds!! Props to guy above.


Related Questions

PLEASE HELP ASAPP!!!! I’LL GIVE BRAINLIEST!! PLEASE HELP QUICKLY!


1. A pet store purchases dog food from a supplier in the local community for $20 per bag. If the store adds a 10% markup to the dog food, how much will a customer have to pay for a bag?


2. Jimmy's shop recently imported a new PlayStation game. The game originally cost $25, and for the company to make a profit they sell the game with the price increased by 40%. How much do they sell the game for?

Answers

Answer:1. 22

2. 35

Step-by-step explanation:

Answer:

1. $18.00   2. $15.00 your welcome and i hope it helps

Step-by-step explanation:

thank you in advance to whoever answers !!!!

Answers

Answer:

answer c would be correct because the model both moved and rotated.

3. Using the number line below, list the following numbers in increasing order:
1.1, -1.9, .4, -.6

Answers

-1.9, -.6, .4, 1.1 IF i’m not wrong

PLs help me 30 points in total

Answers

Answer:

5. 11 1/12 or 133/12

6. 8/15

Step-by-step explanation:

5. make them have a common denominator and then add

6. multiply 2/3 * 4/5

Kelly and her mom like to travel to different states. Kelly's mom has visited 32 states. That is 4 times as many states as Kelly has visited.
How many states has Kelly visited?

Answers

32 / 4 = 8

When it states that her mom visited x 4 the amount of states as her, divide the amount her mom has visited by 4 and find out how many states Kelly visited.

32 / 4 = 8

So, Kelly has visited 8 states.

Pls help me rn bec sue tmr pls pls

Answers

Answer:

Number of 1-cm cube 24. Volume of solid 24 cm^2

Step-by-step explanation:

What is the equation of the line that passes through the point (-5, -2) and
has a slope of -6/5

Answers

Answer:

y=-6/5x-8

Step-by-step explanation:

Because you know the slope of the line, you can put it into the slope-intercept form equation:

y=-6/5(x) +b

Then plug in the x and y values which are -5 and -2:

-2=-6/5(-5) +b

Now you can solve for b:

-2=6 +b

-8=b

Now that you know b and already have the slope, plug those into the equation:

y=-6/5x -8

a line passes through the point -8,-3 and has a slope of -3/2. write an equation

Answers

Answer:

y = -3/2x  - 15

Step-by-step explanation:

Use the slope intercept form  y = mx + b to substitute the slope = -3/2 and the point (-8, -3).

y = mx + b

-3 = -3/2(-8) + b

-3 = 12 + b

-15 = b

y = -3/2x - 15

HELP!!!

‐9z = ‐207

Please solve this with math explanations and NOT just the answer! Whoever explains first will get brainly!

Answers

Answer:

23

Step-by-step explanation:

this is because

the equation is saying -9time something = -207

so

you would -207 divided by -9

which gives you 23

so

z=23

Consider the complex number 5 + 0.45i What is the real part of this complex number?

Answers

Answer: 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

A complex number in the form z = a + bi , then

the real part of z is a and b is the imaginary part

For 5 + 0.45i

where 5 is the real part

Jake fills a tank that can hold 200 gallons of water. The tank already has 50 gallons of water in it when Jake starts filling it at the rate of 10 gallons per minute. Karla fills a tank that can hold 300 gallons of water. That tank already has 100 gallons of water in it when Karla starts filling it at the rate of 5 gallons per minute. Jake and Karla start filling the tanks at the same time. How long after they start filling the tanks do the tanks have the same volume of water? What is that volume of water? I​

Answers

Answer:

Let m represent the number of minutes.

Amount of water in Karla's tank:  100 + 5m

Amount of water in Jake's tank:  50 + 10m

Same amount of water:  100 + 5m  =  50 + 10 m

--->                                         100  =  50 + 5m

--->                                            50  =  5m

--->                                            10 = m

In ten minutes, Karla's tank will have 100 + 5(10)  =  100 + 50  =  150 gallons.

In ten minutes, Jake's tank will have 50 + 10(10)  =  50 + 100  =  150 gallons.

Step-by-step explanation:

hope this helped!

what is the cost of 12 bottles? explain

Answers

Answer:

  $24

Step-by-step explanation:

The unit rate is shown to be $2 per bottle. The cost of 12 bottles is 12 times the cost of one bottle. That means the cost of 12 bottles is ...

  (12 bottles) × ($2/bottle) = $24

Describe the graph x = 2.

Group of answer choices

Horizontal line that goes through the point (0,2).

Vertical line that goes through the point (2,0).

Diagonal line that goes through point (0,2).

Diagonal line that goes through the point (2,0).

Answers

Answer:

3rd is the answer!! Hope this helps

Alguien me dice que debo hacer aqui porfavor es para un examen

Answers

Answer:

Cuando tenga problemas con una pregunta, venga aquí y también lo ayudaremos si no recibe la pregunta, intente omitirla.

Step-by-step explanation:

Over the summer, Regan started studying Russian with an app and completed 5 lessons. Now that school has started, she will work more slowly, completing 1 lesson per month.
Write an equation that shows how the total number of lessons Regan has completed, y, depends on how many months of the school year have passed, x.

Answers

Answer:

y=x+5

Step-by-step explanation:

if you mean how many she completed INCLUDING the 5 over the summer

Select True or False to correctly classify each inequality.
Inequality True or False ( will give brainliest)

−2≤−2 true or false
6.1<6.1 true or false
5.6≥5.6 true or false
5.6≥5.6 true or false
−4>4 true or false

Answers

Answer:

−2≤−2 True

6.1<6.1 False

5.6≥5.6 True

5.6≥5.6 True

−4>4  False

Step-by-step explanation:

Hence,  all the statements are true except option (4).

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given that,

[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.

[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.

[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.

[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.

[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].

Hence,  all the statements are true except option (4).

To know more about the inequality

https://brainly.com/question/12679763

#SPJ2

Nancy's nut shop sells cashews for $5.30 per pound and peanuts for $2.80. How many pounds of peanuts must be added to 20 pounds of cashews to make a mix that sells for $3.30 per pound?

Answers

Answer:

80 pounds

Step-by-step explanation:

let 'p' = pounds of peanuts to be added

20(5.3) + 2.8p = 3.3(20 + p)

106 + 2.8p = 66 + 3.3p

40 = 0.5p

p = 80

Nancy's nut shop sells cashews for $5.30 per pound and peanuts for $2.80. How many pounds of peanuts must be added to 20 pounds of cashews to make a mix that sells f

System of equation

Value of b

Answers

[tex]8a + 9b = 12 \\ a + b = \frac{12}{8} \div 9 \\ = - 6[/tex]

29. ERROR ANALYSIS Describe and correct the error in
rewriting the expression in rational exponent form.

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd


What is the slope?
x: -3, -5, -9
y: 1, 5, 13

Answers

4/-8 the equation to solve is y2 - y- / x2 - x1. so 5-1= 4 and -5 - -3 = -8 so it’s 4/-8

what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5

Answers

Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.

I need help with this please

Answers

Answer:

  see attached

Step-by-step explanation:

boundary line

When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.

  4y ≤ -5x -4 . . . . subtract 5x from both sides

  y = -5/4x -1 . . . . divide both sides by 4

This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.

line type and shading

The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.

The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.

_____

Additional comment

You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...

5x ... ≤ ...4y ... ≤ ...

These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)

Roger is paid $50 to sell videos of a play to an audience after the play is performed.

He also receives $2 for each video he sells. The equation E=50+2v
E=50+2v
models the amount of money Roger earns selling v videos. The play's audience consists of 230 people.

What is the practical range of the equation?

Question options:

The set of all even integers greater than or equal to 50 and less than or equal to 510


The set of all integers greater than or equal to 50 and less than or equal to 510


The set of all real numbers greater than 0 and less than 230


The set of all real numbers greater than 50

Answers

Answer: Choice A

The set of all even integers greater than or equal to 50 and less than or equal to 510

In other words, [tex]0 \le E \le 510[/tex] where E is an even integer.

===========================================================

Explanation:

The domain is the set of allowed inputs, while the range is the set of allowed outputs. For now, let's focus on the domain.

In this case, the domain is the set of integers between 0 and 230. We're dealing with the set {0,1,2,..., 229, 230} to represent the possible number of people who bought the video.

Let's plug in the smallest item from the domain (v = 0).

E = 50+2v

E = 50+2*0

E = 50+0

E = 50

This matches with the fact Roger gets paid $50 even if he didn't sell anything. This is the flat up front fee he got.

Now let's plug in the largest value for v (230).

E = 50+2v

E = 50+2*230

E = 50+460

E = 510

This tells us that $510 is the most Roger can get from the audience of 230 people. This is assuming that each person buys only one copy.

So we can see that the range of E values spans from $0 to $510.

Furthermore, notice that 2 can be factored from 50+2v to get 2(25+v). This shows that the expression 50+2v is always even. Therefore, we must clarify that we're dealing with the set of even numbers between 0 and 510

In symbolic form, we'd say [tex]0\le E \le 510[/tex] where E is an even integer.

In roster form, the range of possible E values is {0, 2, 4, ..., 506, 508, 510}.

Answer: the answer is A

Karla is reading about a type of single-celled microorganism that can live inside the human body. This type of organism can be either harmful or harmless to people, depending on the type. One harmless type lives in the intestines and helps the body digest food. One harmful type can cause strep throat. Which type of organism is Karla most likely reading about?

Answers

Bacteria.

Bacteria is unicellular. Bacteria can either be harmful to the human body or it can do nothing; meaning it can be harmless.

If you roll two fair six-sided dice what is the probability that the sum is:

Answers

Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.

Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x

Let ‘x’ be the number on the first dice.

‘Y’ be the number on second dice.

We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.

Total number of possible results from two six-sided dice is 6 × 6 = 36.

The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).

Number of possible results for the sum is 5 or lower is 10.

The probability that the sum is 5 or lower = 10/36

=5/18

Therefore, the probability that the sum is 5 or lower is 5/18.

Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?

Answers

Answer:

18 Tala

Step-by-step explanation:

6/2= 3

3*6= 18

18 Tala

Help me please ******

Answers

The answer is:

11) The midpoint is (0,3)
12) The midpoint is (1,3)

Answer:

11 is B then 12 is D

Hoped that helped:P

yall i need help asap! its due in 1hr!!​

Answers

Answer: I can help!

The answer is (B)

The answer is (B) because if you take 921 and remove all the other zeros which are just place holders, you get 9 move in the decimal and now there is 9.21 then you see how many zeros there are ans that gives you 3.

For the second one the answer is (A)

If you were to look up how much 2000% is you would get 20% so therefore that is the answer.

I hope you do good!

My apologies if anything is wrong.

7. Un cuerpo desliza hacia abajo con velocidad constante por un plano inclinado a un ángulo de 22º. Luego es lanzado en sentido contrario por el mismo plano con una velocidad inicial de 4.0 m/s. a) ¿Qué distancia subirá por el plano antes de detenerse? b) ¿Deslizará nuevamente hacia abajo?AYUDAAAA ES PARA HOY!!!

Answers

The distance travelled across the slant will be -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.

What is resolution of vectors?

If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors.

Given is that  body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s.

[A] -

We can write the total distance covered along the slant as a function of [x] and [y] components as -

h = h[x] i + h[y] j

Now -

h[x] = 4tcos(22°)

Now -

F = ma

F = m{dv/dt}

Fdt = mdv

mg sin(22°)dt = mdv

dt = {1/g sin(22°)}dv

∫dt = ∫ {1/g sin(22°)}dv

t = v/g sin(22°)

So, we can write -

h[x] = 4 cos(22°)v/g sin(22°)

h[x] = {4v/g}{cot (22°)}

Similarly -

h[y] = 4t'cos(22°)

F = ma

F = m{dv/dt}

Fdt = mdv

N cos(22°) - mg = F

{N cos(22°) - mg}dt' = mdv

{mg cos(22°) - mg}dt' = mdv

{g cos(22°) - g}dt' = dv

dt' = dv/{g cos(22°) - g}

∫dt' = ∫dv/{g cos(22°) - g}

t' = {v/g(cos(22°) - 1)}

So -

h[y] = 4 x  {v/g(cos(22°) - 1)} x  cos(22°)

h[y] = {4v/g(cos(22°) - 1)} cos(22°)

So -

Distance travelled across the slant -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}²

[2] -

Yes, it will slide down again.

Therefore, the distance travelled across the slant will be -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.

To solve more questions on resolving vectors, visit the link below -

https://brainly.com/question/17264346

#SPJ5

{Question in english language -

A body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s. a) How far will it go up the plane before stopping? b) Will it slide down again? HELP IS FOR TODAY!!!}

Need help with the answer it’s confusing

Answers

16±0.12

Step-by-step explanation:

%uncertainity=uncertainity÷measured value×100%

0.75×16=100x

x=12÷100

x=0.12

ANS;16±0.12

Other Questions
What was an important effect of the Haitian Revolution? Who was the first South African president? A strategic group consists of those firms in an industry that Group of answer choices employ similar competitive approaches and occupy similar positions in the market. are subject to the same driving forces. place about the same emphasis on each distribution channel. have similar size market shares. use the same key success factors to differentiate their products. Alice's three children are driving her crazy.They are constantly squabbling,calling one another names,and generally tormenting one another.To preserve what's left of her sanity,Alice has decided to try to convince the youngsters to get along.She promises them that she will take them to a Jack Black movie if they will work together to clean their playroom in under 30 minutes.To reduce hostilities,Alice has fulfilled two necessary preconditions for reducing conflict, A)the reduction of frustration and a common goal. B)reduced stereotype threat and role differentiation C)a neutral setting and role differentiation. D)mutual interdependence and a common goal. E)one-on-one interactions between in-group and out-group members and an informal setting. find the measure of one exterior angle for the following regular polygon The human heart weighs how many pounds From the picture, two cylindrical glasses of the same capacity. Find the diameter length (X) of a small glass of water.8121410 MC Qu. 54 Maxim manufactures a hamster food product... Maxim manufactures a hamster food product called Green Health. Maxim currently has 10,000 bags of Green Health on hand. The variable production costs per bag are $3.60 and total fixed costs are $10,000. The hamster food can be sold as it is for $8.95 per bag or be processed further into Premium Green and Green Deluxe at an additional $2,200 cost. The additional processing will yield 10,000 bags of Premium Green and 3,200 bags of Green Deluxe, which can be sold for $7.95 and $5.95 per bag, respectively. The net advantage (incremental income) of processing Green Health further into Premium Green and Green Deluxe would be: Solve the problem below 6. A taxi driver picked up a fare at the Hyatt Regency Hotel who wanted to go to the airport. The traffic was heavy, and the taxicabs average speed for the entire trip was just forty miles per hour. The total time of the trip was eighty minutes, and the customer was charged accordingly. At the airport, the taxi driver picked up another customer who wanted to be taken to the same Hyatt Regency Hotel. The taxi driver returned to the hotel along the same route that he had used just before, and traveled with the same average speed. But this time the trip took an hour and twenty minutes. Can you explain why? On January 1, the company purchased equipment that cost $10,000. The equipment is expected to be worth about (or has a salvage value of) $1,000 at the end of its useful life in five years. The company uses straight-line depreciation. It has not recorded any adjustments relating to this equipment during the current year. Complete the necessary December 31 journal entry by selecting the account names from the pull-down menus and entering dollar amounts in the debit and credit columns.View transaction list Note: Enter debits before credits. Date General Journal Debit Credit Dec. 31 es Depreciation expense Accumulated depreciation Record entry Clear entry View general journal A standard bathroom scale is placed on an elevator. A 28 kg boy enters the elevator on the first floor and steps on the scale. What will the scale read (in newtons) when the elevator begins to accelerate upward at 0.5 m/s2 Buff is considering a new packaging machine. The initial cost is $10,000 and we would save $4,000 per year in labor costs. If our MARR is 12% and our projects must have a 3-year discounted payback period, should we purchase this packaging machine? Yes NoNot enough nformation to answer. Given the scatter plot, choose the function that best fits the data.(See photo attached)A. f(x) = 2^xB. f(x) = 2xC. f(x) = -2xD. f(x) = 2x^2 A decomposition of a sample of diphosphorus trioxide forms 1.29 g phosphorus to every 1.00 g oxygen. The decomposition of a sample of diphosphorus pentoxide forms 0.775 g phosphorus to every 1.00 g oxygen.Required:How many grams of P205 are formed when 5.89 g of P react with excess oxgen? Because of ethical issues concerning abortion and other reproductive matters, many states have laws thatQuestion 7 options:prohibit the refusal of legal medical services to anyone based on personal beliefs.require agencies who receive government funding to provide all legal services.allow individuals, agencies, and facilities to refuse to participate in providing abortion services.allow state agencies to decide services where ethical issues are a concern. what did seyyid said transfer his capital Which of the following would tell you that a weak base is present?A. An indicator added to the solution turns green-blue.B. If there is a high reaction rate.C. If the pH of the solution is close to 14.D. If the solution is a good conductor of electricity. 1. What are the characteristics of British people? 2. How do you understand the constitutional mornachy? 3. How would you describe the United States of America in terms of geography? 4. What are the 6 basic traditional American values? what is the length of AC?