A Ferris wheel 80 meters in diameter turns continuously, completing a single rotation once every 8 minutes. You must board the Ferris wheel at its lowest point from a platform located 5 meters above the ground. If you board the Ferris wheel at t=0, write and sketch a sinusoidal function to model your height above the ground after t minutes on the Ferris wheel. How high above the ground will you be after 5 minutes? How many minutes into the ride will it be when you first reach 35 meters above the ground?

Answers

Answer 1

Step-by-step explanation:

General form of a sine or cosine wave is:

y = ±A sin((2π/T) t) + B

y = ±A cos((2π/T) t) + B

where A is the amplitude, T is the period, and B is the vertical offset or midline.

The Ferris wheel is 80 meters in diameter or 40 meters in radius.

A = 40

The Ferris wheel turns once every 8 minutes.

T = 8

The lowest point is 5 meters above the ground, so the center of the Ferris wheel is 45 meters above the ground.

B = 45

At t=0, you're at the lowest point, so use -cos.

Therefore, the equation is:

y = -40 cos(2π/8 t) + 45

y = -40 cos(π/4 t) + 45

When t = 5:

y = -40 cos(5π/4) + 45

y = 20√2 + 45

y ≈ 73.3 meters

When y = 35:

35 = -40 cos(π/4 t) + 45

-10 = -40 cos(π/4 t)

1/4 = cos(π/4 t)

π/4 t ≈ 1.318

t ≈ 1.68 minutes

A Ferris Wheel 80 Meters In Diameter Turns Continuously, Completing A Single Rotation Once Every 8 Minutes.

Related Questions

Explanation for solving the following equation
1/2(f+4)=8

Answers

1/2(f + 4) = 8

Divide the whole thing by 1/2 to get rid of it.

f + 4 = 16

Subtract 4 on both sides

f = 12

Find endpoints on a standard normal distribution with the given property. The area between is about 0.88 . Round your answers to three decimal places and place the endpoints in increasing order.

Answers

Answer:

-1.555 and 1.555

Step-by-step explanation:

For a standard normal distribution:

P(- Ƶ ≤ Z ≤ Ƶ) = 0.88

The normal distribution on the curve is symmetrical about Z = 0

Thus

P( -Ƶ ≤ Z ≤ 0) = P( 0 ≤ Z ≤ Ƶ)

However;

This implies that:

P( -Ƶ ≤ Z ≤ 0)  +  P( 0 ≤ Z ≤ Ƶ) = 0.88

2P ( 0 ≤ Z ≤ Ƶ)  = 0.88

P( 0 ≤ Z ≤ Ƶ) = 0.44

P(Z ≤ Ƶ) - P( Z ≤ 0) = 0.44

Since P(Z ≤ 0) = 0.50

P(Z ≤ Ƶ) = 0.44 + 0.50

P(Z ≤ Ƶ) =  0.94

From the probability value table

z = 1.555

Thus the endpoints are:

-1.555 and 1.555

You move down 2 units and right 3 units. You end at (5,-5). Where did you start? On a coordinate plane plz need one more

Answers

Answer:

(2, -3)

Step-by-step explanation:

if move down 2 units, then y needs to move up 2 units

if move right 3 units, then x needs to move left 3 units  

(5-3, -5+2)

(2, -3)

If a function is defined by the formula y=1/2x + 3 and its domain is given by the set {-4,0,8}, then which of the following sets gives the function's range?

Answers

Answer:

y = {1, 3, 7}

Step-by-step explanation:

Given

y = ½x + 3

Domain: {-4, 0, 8}

Required

Determine the range of the function

To do this, we simply substitute each value of the domain in the given expression

We start with the first

Substitute -4 for x in y = ½x + 3

y = ½ * -4 + 3

y = -2 + 3

y = 1

Then 0

Substitute 0 for x in y = ½x + 3

y = ½ * 0 + 3

y = 0 + 3

y = 3

Lastly, 8

Substitute 8 for x in y = ½x + 3

y = ½ * 8 + 3

y = 4 + 3

y = 7

Hence, the range of the function is:

y = {1, 3, 7}

Answer:1,3,7

Step-by-step explanation:

Simplify the expression:

8(x - 5) + 7(3x + 4)​

Answers

Answer:

29x-12

Step-by-step explanation:

29x-12

Step-by-step explanation:

8•x=8×

8•-5=-40

7•3x=21x

7•4=28

-40+28=-12

21x+8x=29x

Which coordinates represent the plotted point? Check all that apply.

Answers

Answer:Its A,C,E or 1,3,5

Step-by-step explanation:

Got it right in Ed

Answer:

A C E

Step-by-step explanation:

Alexander spent a total of 12.5 hours on a science project for the Science Fair. His sister, Laura, spent 16.6 hours on a science project. How many more hours did Laura spend on her project than Alexander spent on his?

Answers

Answer:

4.1 I think

Step-by-step explanation:

I just subtracted in my head

Answer:

4.1 hours

Step-by-step explanation:

Laura spent 4.1 more hours on her project than Alexander spent on his. If we split each number into 2 parts (like this: 12.5 -> 12 and .5; 16.6 -> 16 and .6) then we can subtract 12 from 16 and .5 from .6 to get 4 and .1. we add those together to get 4.1

5/25 in its simplest form

Answers

Answer: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{5}{25} =\frac{1}{5}[/tex]

1 / 5
Divide the numerator and denominator by their lowest common multiple which is 5 in this case
So 5 / 25 = 1 / 5

What is the solution set of \ x|x<-3\ cap\ x|x>5\ ?

Answers

Answer:

Let set A = {x|x<-3}

Let set B = {x|x>5}

The solution for set A could be graphically represented with a number line that contained an unshaded circle surrounding the integer -3 and all values to the left or less than -3 would be shaded.

The solution for set B could be graphically represented with a number line that contained an unshaded circle surrounding the integer 5 and all values to the right of 5 or greater than 5 would be shaded.

If you placed the two number lines close to each other, you would see that they do not intersect.

Thus there is no solution for the intersection of set A and set B as defined in the given problem.

Step-by-step explanation:

Ella swims four times a week at her clubs pool. She swims the same number of labs on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 labs each week. How many laughs does she swim on Monday?

Answers

52 laps is the correct answer. Explaining. Don’t have to I just took the test and got a 100

5z + 3n -z2 ; n = 4.5 , z = 6 PLZ answer this

Answers

Answer:

5(6)+3(4.5)- 6(2)= 31.5

Step-by-step explanation:

Answer:

hmmmmm

Step-by-step explanation:

{−2x+7y=−7
−5x+14y=−7

Answers

Answer: x=7, y=2

Step-by-step explanation:

1. -2(-2x+7y=-7) -> 4x-14y=14

2. 4x-14y=14

   -5x+14y=-7

3. -x = 7, x=7

4. -5(7)+14y=-7

5. -35+14y=-7

6. 14y=28, y=2

Answer: [tex]x=-7[/tex], [tex]y=-3[/tex]

Step-by-step explanation:

[tex]\left \{ {-2x+7y=-7} \atop {-5x+14y=-7} \right.[/tex]

multiply 2 at [tex]-2x+7y=-7[/tex]

[tex]-4x+14y=-14[/tex]

subtract [tex]-4x+14y=-14[/tex] and [tex]-5x+14y=-7[/tex]

[tex]x=-7[/tex]

put [tex]x=-7[/tex] at [tex]-2x+7y=-7[/tex]

[tex]7y=-21, y=-3[/tex]

Given the function below, evaluate h(2) for x = -2
h(x) = -4x2 + x +1

Answers

The answer will be -13. Hope this helps!!

Find the slope between the points. �. (5, −3) (7, 4)

Answers

Answer: slope is [tex]\frac{7}{2}[/tex] or 3.5

Step-by-step explanation:

Slope =  [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{4-(-3)}{7-5}[/tex] = [tex]\frac{7}{2}[/tex]

Answer:

[tex]\boxed {\boxed {\sf m= \frac{7}{2} \ or \ 3.5 }}[/tex]

Step-by-step explanation:

The slope formula is the change in y over the change in x.

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

In this formula, (x₁, y₁) and (x₂, y₂) are the points given. We are given the points (5, -3) and (7,4). Therefore,

[tex]x_1=5 \\y_1= -3\\x_2=7 \\y_2=4[/tex]

Substitute the values into the formula.

[tex]m=\frac{4--3}{7-5}[/tex]

Solve the numerator.

4 - -3 = 4+3 = 7

[tex]m=\frac{7}{7-5}[/tex]

Solve the denominator

7-5=2

[tex]m=\frac{7}{2}[/tex]

[tex]m=3.5[/tex]

The slope between the points is 7/2 or 3.5

2×2+31×1+1+1+1+1+11×4×4×4×4×4×4×4×4×4

Answers

Answer:

I think it is 13107200

Step-by-step explanation:

I think the answer might be 2,883,623. Hopefully, this helps you! :)

Suppose that the amount of snowfall per storm in Lincoln is normally distributed with µ = 4.2 inches and standard deviation µ = 2.3 inches (totally made up data). If the mayor decides that only the top 5% of storms should have school cancelled, what is the cutoff snowfall for school to be cancelled?

Answers

Answer:

7.9835

Step-by-step explanation:

Given that :

Mean snowfall per storm (µ) = 4.2 inches standard deviation (s) = 2.3 inches

Only the top 5% of storm should result in school being canceled :

Cut off snowfall for school to be canceled '

P(Z ≥ 5%) ; p(Z ≥ 0.05) = 1.645

Using the z relation :

Z = (x - m) / s

1.645 = (x - 4.2) /2.3

x - 4.2 = 2.3 * 1.645

x - 4.2 = 3.7835

x = 3.7835 + 4.2

x = 7.9835

Cut off snowfall for school to be canceled 7.9835

Answer:

hopes this photo helps

45×(−10)×45 STEP explanation ​

Answers

Answer:

-20,250

Step-by-step explanation:

PEMDAS

Multiply left to right

45 * -10 * 45

45* -10

-450 * 45 =

-20,250

tell whether the transformation appears to be a rigid motion. explain

Answers

Answer:

If you turn it or flip it over or move it it is essentially the same shape. If you try to stretch the paper or fold it you change what the shape is so it is not a rigid motion. Since the two circles are not the same size then it is not a rigid motion

Y=2× Y=×+1
A: (2/3, 1/3)
B: (1,2)
C: (2,1)
D: (1/3, 2/3)

Answers

Answer:

The answer is B: (1,2)

Step-by-step explanation:

(solved using elimination method)

-2x+y=0

y=x+1

-x+y=1

-2x+y=0

x+y=-1

-x=-1

x=1

-1+y=1

y=2

(x,y)=(1,2)

The area of a rectangular painting is 8613 cm?.
If the length of the painting is 99 cm, what is its width?

Answers

Answer:

The width is 87 cm

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

8613 = 99 * w

Divide each side by 99

8613 / 99 = 99 w /99

87 = w

The width is 87 cm

Answer:

Step-by-step explanation:

Given

The area of a rectangular painting=8613 cm^2

Length of painting=99cm

Solution

Area of the rectangular painting=8613

Length×width=8613

99×width=8613

Width=8613/99

Width =87cm

AC=39 Find the length of AB

Answers

Answer:

AB = 12

Step-by-step explanation:

best estimate for 563 / 15

Answers

Answer: 37 8/15 or 37.53

Step-by-step explanation:

use math_way its amazing for math problems, if i could give a rating it would definitely get 5 stars.

its a website and a app i believe it can be used for ios and android

aka apple and everything else

btw i had to add that (_) <that in the name because it wont let me say it normally

A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of $3,000 for 10,000 tiles. The equation y – 3,000 = 0.25(x – 10,000) models the revenue of the tile factory, where x is the number of tiles and y is the total cost to the customer.
Which function describes the revenue of the tile factory in terms of tiles sold?

Answers

The answer is 1.C 2.$500

Mr. Scruggs is going to donate $60 to the local animal shelter. If that $60 is 4/15
of the total amount of money he received for his birthday, how much money
did he receive in all?

Answers

16$, each ratio is 1:4 so every 1/15 is 4$ which would mean your final equation is 4x4=16

Suppose that a company has fixed costs of $23 per unit and variable costs $10 per unit when 13,500 units are produced. What are the fixed costs per unit when 10,000 units are produced?

Answers

answer

32632 answer hai bro

How many proportional relationships are shown

Answers

Answer:

2 I think thats the answer

Step-by-step explanation:

PLEASE HELP!!!! 50 POINTS!!!
Find the solution(s) of the following equation.
x^2 = 100/361
Choose all answers that apply:
a) x = -10/9
b) x = -1/6
c) x = 5/18
d) x = 5/9
e) none of the above

Answers

Answer:i think its b im not sure tho

Step-by-step explanation:

Answer: The answer is A) x= -10/19

What is the meaning of the base of the function y= log(x)?
A. As y increases by 1, x increases by 10.
B. As y increases by 1, x increases by a factor of 10.
C. As y decreases by 1, x increases by a factor of 10.
D. As y decreases by 1, x increases by 10.

Answers

C .As y decrease by 1 c increase by a factor of 10hope this helps

Convert 1AA from hexadecimal to decimal.

Answers

1AA = 426

What an odd class...

Answer:

426 in decimal.

Step-by-step explanation:

Step 1) Count the digits in 1AA, which in this case is 3 digits, and convert each digit to Hex.

Step 2) Starting from the last number in Step 1, multiply the first number with 1, the second number with 16, and the third number with 256.

Step 3) Add up all the numbers you got in Step 2 to get the answer.

Following the instructions above, your math should look like this:

10 x 1 = 10

10 x 16 = 160

1 x 256 = 256

10 + 160 + 256 = 426

Thus, we got the following answer:

1AA = 426

Help!! Please thanks

Answers

Answer:

i think you have chosen the right answer i don't really know its tricky for me

Step-by-step explanation:

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