A ride in an amusement park features a swinging ship suspended from a height of 50 feet. The motion of the ship can be modeled by the graph below, where x represents the time, in seconds, since the start of the ride, and f(x) represents the angle, in radians, that the center of the ship makes with respect to the equilibrium position.

Select all the correct answers.

A Ride In An Amusement Park Features A Swinging Ship Suspended From A Height Of 50 Feet. The Motion Of

Answers

Answer 1

Answer: The first and last options are correct.

f(x) = pi/4 cos (pix/5 - pi/2)

f(x) = pi/4 sin (pix/5)

Step-by-step explanation

The graph shows that A = pi/4.

B = 10, so the period = 2pi/10 = pi/5.

sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.

Hope this helps :)

Answer 2

The correct answer is f(x) = π/4 cos (πx/5 - π/2) and f(x) = π/4 sin (πx/5).

option (A) and (D) are correct.

It is given that height of 50 feet and graph is given.

It is to find f(x).

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The graph shows that A = π/4.

B = 10, so the period = 2π/10 = π/5.

sin and cos are co-functions, so a phase shift of -π/2 makes the two functions equal to each other.

So, the option are (A) and (D).

Learn more about graph here:

https://brainly.com/question/23004564

#SPJ2


Related Questions

Verify the Identity.

tan²xsin²x = tan²x-sin²x

Answers

tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)

… = sin²(x) (1/cos²(x) - 1)

… = sin²(x) (sec²(x) - 1)

… = sin²(x) tan²(x)

What is the domain of the function

Answers

Answer:

Domain- (-∞,∞), {x/x ∈ R}

Step-by-step explanation:

Please help this is geometry :)

Answers

You put the line which crosses two points that intersect with each other

What is 1/6 divided by 1/3 in simplest form

Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

1/6÷1/3

1/3×1/6

1/3×6

1/18

You work and your hourly wage is $12.25 if you work 40 hours this week ,how much money would you make before taxes?

Answers

Answer:

$490

Step-by-step explanation:

Since one hour of work is $12.25, 40 hours is $490.

12.25 x 40 = 490

------------------

John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”

Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.

Someone please helppppp

Answers

Answer:

the correct answer is b) 4

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $49,000 and a standard deviation of $4,500. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$


(b) Find the 90th percentile for the average teacher's salary.

Answers

Answer:

they get a lot of moohlah

Step-by-step explanation:

What is 1/6 as a percent.

Answers

Answer:

16.66 %

Step-by-step explanation:

1 / 6 as a percent

= ( 1 / 6 ) x 100

= 100 / 6

= 16.66 %

1/6 = 16.6667% (percentage)

I need help with these questions ?

Answers

5. Either C or D, I’m not sure.
6. Neither likely or unlikely since it is close to 50%

Answer:

5. Every 25th student who enters the school than morning

6. It is neither likely or unlikely that it will rain tomorrow

Step-by-step explanation:

5. A random systematic sample of every 25th student will present the least bias

6. 0.48 is close to 0.5, which means there is almost an even chance that it will or will not rain

Which data set could be represented by the box plot shown below?

10
12
14
16
18
20
22
24
26

Answers

Answer:

B

Step-by-step explanation:

12, 15, 15, 17, 19, 19, 20, 22, 24

The data set { 12, 14, 16, 18, 20, 22, 24, } is represented by the box plot above the number line.

Which data set could be represented by the box plot shown is to be determined.

What is the range?

Range, it is the set of the values that come out to an outcome for a certain mathematical operation.


What is a number line?

A number line is defined as a line is a horizontal line that has equally distributed number offsets. The numbers contained on the line will determine, the number on the line that can be answered. The query that reaches the numeral resolves how it will be used, eg, planning a point.

Since the box only represent the data set of the interval of its length,
so from 12 to 24 on the number line is a set of values that are represented by the box.

Thus, The data set { 12, 14, 16, 18, 20, 22, 24, } is represented by the box plot above the number line.

Learn more about the range here:
https://brainly.com/question/12239390

#SPJ2

The graph of g(x) is a translation of y = RootIndex 3 StartRoot x EndRoot.

On a coordinate plane, a cube root function goes through (negative 6, negative 2), has an inflection point at (4, 0), and goes through (10, 2).

Which equation represents g(x)?

g(x) = RootIndex 3 StartRoot x minus 4 EndRoot
g(x) = RootIndex 3 StartRoot x + 4 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1.5
g(x) = RootIndex 3 StartRoot x EndRoot minus 1.5

Answers

Answer: g(x) = RootIndex 3 StartRoot x + 2 EndRoot

Step-by-step explanation:

The equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]

The graph of the function is given as:

[tex]y = \sqrt[3]{x}[/tex]

The above graph passes through the origin.

So, the function can be rewritten as:

[tex]y -0= \sqrt[3]{x - 0}[/tex]

The above function has an inflection point at (0,0).

The translated function is said to have its inflection point at (4,0).

So, the translated function is:

[tex]y -0= \sqrt[3]{x - 4}[/tex]

Subtract 0 from y

[tex]y= \sqrt[3]{x - 4}[/tex]

Express y as a function of x

[tex]g(x)= \sqrt[3]{x - 4}[/tex]

Hence, the equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]

Read more about translation at:

https://brainly.com/question/4057530

My last question the picture wasnt there soo her eyou go

Answers

Answer:

1 cup - 50c

2 cups - $1

3 cups - $1.50

12 cups - $6

183 cups - $91.50

not sure what to put for "c"

Step-by-step explanation:

which expressionis 4 times as large as the expression 34 minus 15

Answers

Answer:64?

Step-by-step explanation:

what is the value when x = 2?

i need this asap!

Answers

Answer:

y=6!

Step-by-step explanation:

you can easily see it on the graph. on the x axis, 2 is equivalent to 6

Answer:

When x is 2 y equals 6.

Step-by-step explanation:

You go right on the graph two units then go up the y axis till the line intersects the lines. In this case the graphed point is (2,6)

HELP PLZZZ questions are on the screenshot whats y/4+6=10

Answers

Answer:

16

Step-by-step explanation:

y/4=4

y=16

Help me please ASAP I need help

Answers

Answer:

Are you looking for the perimeter? if so it would be 34 yards

Step-by-step explanation:

What is the unit multipliers for seconds and minutes

Answers

Answer:

60 seconds? 1 minute?

Step-by-step explanation:

Answer:

steps below

Step-by-step explanation:

second to minute: 1 min / 60 sec

example: 3600 sec = (3600 sec / 1) * (1 min / 60 sec)

                                = (3600 * 1 min) / (1 * 60)

                                = 60 min

minute to sec: 60 sec / 1 min

example: 5 min = (5 min / 1) * (60 sec / 1 min)

                                = (5 * 60 sec) / (1 * 1)

                                = 300 sec

Answer this for me please.

Answers

The answer is x=-5 and x=1
Explanation: you just look where the line crosses the x axis which is left to right

A triangular prism with dimensions is shown below.
5 ft
3 ft
8 ft
What is the volume of the triangular prism in cubic feet?
O A. 120 ft
O B. 20 ft
O C. 40 ft?
O D. 60 ft

Answers

The answer is A. 120 ft.

Based on the data im the circle graph if there are 48 total students in the eighth grade, what is the total number of female eighth grade students on academic teams?

A. 48
B. 25
C. 36
D. 12

Answers

Answer:

D 12

Step-by-step explanation:

25% of 48 is 12

Please Give Brainliest

Im on a roll today since im sick

What is the inverse of y=2x^2-8

Answers

Answer:

f − 1 ( x ) = √ 2 ( x + 8 ) /2 , − √ 2 ( x + 8 ) /2

keep it under whole root  

 

Step-by-step explanation:

1) Which number line below
shows x 4?
a)
1 2 3 4 5 6
b)
0 1 2 3 4 5 6

C)26
O i 2 3 4
D)5
0 1 2
3 4 5
6
A
B
оооо
С
D

Answers

It’s c i think or can be d but my best bet is c !!

Solve for x. Round your answer to the nearest tenth.
42
37
X=
units

Answers

Answer:

10

Step-by-step explanation:

That little square gives you a hint that it's an 90 degree angle/ acute angle First add 42 and 37 and you will get 79. Next subtract 79 from 90 and you will get 11. (5 or more, raise the score, for or less, let it rest.) 11 equals 10.

Numarical form:

47 + 37 = 79

90 - 79 = 11

11 = 10

PLEASE HELP ME MARKING PEOPLE AS BRAINLIST

Answers

Answer:

A

Step-by-step explanation:

The ordered pair (10,3) is in quadrant:

Answers

Answer:

1

Step-by-step explanation:

ordered pairs with both positive numbers are in Q1

Answer:

That would be the first quadrant, also known as the I quadrant and the top right quadrant.

Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs is $ 465. What is the cost of one chair?

Answers

Answer:

[tex]165 + 12c = 465[/tex]

Is the right answer

Answer:$25 per chair

Step-by-step explanation:

It’s $165 for only the table. Minus that from the $465 and you get $300. Do $300 divided by 12(amount of chairs) And you get $25. It’s $25 per 1 chair.

someone please help me answer this!!!

Answers

Answer:

15 using the Pythagorean theorem.

hope it helps, plz mark me as brainliest.

Answer:

15 units is the answer.

Step-by-step explanation:

points are (-3,-4) and (6,8)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-3))^2 + (8-(-4))^2}\\\\d=\sqrt{(9)^2+(12)^2} \\\\d=\sqrt{81+144} \\\\d=\sqrt{225} \\\\d=15[/tex]

∴ d = 15 units is the distance between the points.

True or False
Can the expression (2x-2) +2 be read as the sum of two terms?

Answers

True it can show up and two different terms.

Which sign makes this number sentence true?

|-6| __ |6|
A. >
B. <
C. =
D.

Answers

Answer:

C. =

Step-by-step explanation:

whenever you have |  | It will always be positive so -6 turns to 6 and that makes it equal.

Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.
btw this is multiple choice so this is the choices
A. 56n=8
B.n+8=56
C.8n=56
D.56-n=8
help me asap​

Answers

C.
Since 8 magazines are areiving each month (n) and the total is 56, all you have to do is multiply 8 by n and you get 56, the actual answer would be 7 though.

Answer:

C.8n=56

Step-by-step explanation:

Other Questions
The line of best fit for a set of data is y = 19.3232 0.7334x. What is the approximate x-value where the y-value is 15.654 What is the best approximation for 29? 5 5.2 5.9 6 QUESTION 17As a result of the German invasion of France in May 1940, the British Army became encircled by the German Army alongthe northern coast of France. Despite this, the British were able to organize a massive fleet of ships and boats to evacuatetheir army, along with 100.000 French troops, and transport them across the English Channel. The successful evacuationtook place from the French port city ofLe HavreMarseillesCalaisDunkirk If youre fluent in Spanish plz help:) will give brainliest Simplify each Equation AYOO Hey plzzzzzzzzzzzzzzzzzzzzzzz 0,7 as common fraction Someone please help! I dont understand 3 Next End of Semester Test: English 6B Submit Test Reader Tools 6 Info Select the correct answer. Read the passage from Narrative of Sojourner Truth. Use context clues to determine what the word interposed means. When her master saw her, he said, 'Well, bell, so you've run away from me.' 'No, I did not run away, I walked away by day-light, and all because you had promised me a year of my time.' His reply was, 'You must go back with me.' Her decisive answer was, 'No, I won't with you.' He said, 'Well, I shall take the child.' This also was as stoutly negatived. go back Mr. Isaac S. Van Wagener then Interposed, saying, he had never been in the practice of buying and selling slaves; he did not belleve in slavery; but, rather than have Isabella taken back by force, he would buy her services for the balance of the year-for which her master charged twenty dollars, and five In addition for the child. OA. departed B. Interrupted Oc. Intimidated D. promised O E. purchased Greg is pouring an entire gallon of milk in 10 glasses. What part of a gallon will be in each glass? Which of the following can change the context of a word?OemphasisO posturevolumeO eye contact The Outsiders Pre-reading Activity: The 60s Scavenger HuntAbout the Author and her Novel5. After the novel was published, what did the author become known as?6. Is Hinton still alive? If so, what does Hinton do and where does she live?7. What is the setting of the novel (state and time period)?PLS FOLLOW THE RULESTROLL FOR POINTS= REPORTFIRST AND CORRECT ANSWER= BRAINLIEST( ABSOLUTELY NO LINKS OR USELESS ANSWERS ) What is the main reason the Southern economy was dependent on slave labor?Enslaved workers tended machinery in factories in the South.O Enslaved workers planted and harvested crops on plantations. Enslaved workers worked on docks, making shipping cheaper.O Enslaved workers provided labor at Southern corporations. Select the correct anSally rents a life jacket for a one-time fee of $5. She thenrents a canoe for $15 per hour. Which expressionrepresents the total cost, in dollars, to rent the life jacketand the canoe for h hours?A. 5+15hOB. 10hC. 15+5hOD. 20h A four-sided backyard is in the shape of a parallelogram and has two adjacent sides both with lengths of 30 feet. Which of the following must be true about the shape of the backyard? HELP, ME PLEASE LOOK AT THE PHOTO TRUE OR FALSE Where do you find the worlds tallest mountains?A.) oceanic-oceanic convergent platesB.) oceanic-continental convergent platesC.) continental-continental convergent platesD.) over hot spots Price controls are believed to prevent monopolies by stopping a company from setting prices too low or too high made by governments with a purpose of discouraging competition in the economy set prices for goods and services that only government-approved businesses may offer a system of government laws and regulations that control how people run their businesses PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW A cylindrical can of soda pop is 12 cm tall and has a diameter of 6 cm. The box for a 12-pack of soda pop has a length of 25 cm, a width of 19 cm and is 12.2 cm tall. The cans are placed in the box in three rows of 4. What is the volume of space that is not used when a 12-pack box of soda pop is full? ( Use 3.14 for Pi) pls don't answer if you don't have the answer