A contestant on a game show spins a wheel that is located on a plane perpendicular to the floor. He grabs the only red peg on the circumference of the wheel, which is 1.5 m above the floor (the peg is) and pushes it downward. The peg reaches a min height of 0.25 m and a max height of 2.75 m above the floor. Sketch two cycles of the graph representing the height above the ground as a function of the total distance moved. Then determine the equation of the sine function

Answers

Answer 1

The spin of the wheel by the contestant is an illustration of a sine function whose equation is [tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

The wheel is 1.5 m above the floor, and the peg reaches a maximum height of 2.75 m.

So, the amplitude is:

[tex]\mathbf{A = 1.5 - 2.75}[/tex]

[tex]\mathbf{A = -1.25}[/tex]

The vertical shift is the minimum height of the peg.

So, we have:

[tex]\mathbf{D = 0.25}[/tex]

The period (T) equals one circumference.

So, we have:

[tex]\mathbf{T = (max-min)\pi}[/tex]

This gives

[tex]\mathbf{T = (2.75-0.25)\pi}[/tex]

[tex]\mathbf{T = 2.5\pi}[/tex]

The frequency (B) is then calculated as:

[tex]\mathbf{B = \frac{2\pi}{T}}[/tex]

This gives

[tex]\mathbf{B = \frac{2\pi}{2.5\pi}}[/tex]

Divide

[tex]\mathbf{B = 0.8}[/tex]

A sine function is represented as:

[tex]\mathbf{y =A sin(B(x + C)) + D}[/tex]

Substitute the calculated values

[tex]\mathbf{y =-1.25 sin(0.8(x + C)) + 0.25}[/tex]

The horizontal shift (C) is 0.

So, the function becomes

[tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

See attachment for the graph of the equation

Read more sine function at:

https://brainly.com/question/11904902

A Contestant On A Game Show Spins A Wheel That Is Located On A Plane Perpendicular To The Floor. He Grabs

Related Questions

On a coordinate graph the following points of a rectangle are given. A(0,2) B (0,-2) C (3,-2) 4 Where do the coordinates of Dneed to be to form the rectangle? 0 (3,2) O (2, 3) 0 (1,3) 0 (3,1)​

Answers

Answer:

(3, 2)

Step-by-step explanation:

Please mark me brainliest if this helped! :P

HELP ME PLEASE


whats 9+10?​

Answers

Answer:

21

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

PLEASE HELP ME ASAP TYSM

Answers

The sale price is 85% of the regular price.

-If regular price is 100% and there is a 15% discount, The sale price will be 85% of reg. price.

100-15=85

Answers:

- Sale price: $25.50

-85%of 100%

-Discount: 15%

-$4.50

You can check by the following:

30-25.5=4.5

30-4.5=25.5

4.5+25.5=30

25.5+4.5=30

100-15=85

100-85=15

85+15=100

15+85=100

(Brainliest?) ^^

Between what two whole numbers is 5/6 located on the number line? help please!

Answers

Answer:

Hello there!

5/6 is located between 0 and 1.

Step-by-step explanation:

5/6 is less than 1, because 1 = 6/6 in this scenario.

At the same time, it's greater than 0!

5/6 is located between 0 and 1 on the number line!

Help needed, this is timed :’)

Answers

Answer:

Step-by-step explanation:

last answer

what is (x-2) (3x-4)=
a.3x² - 6x-8
b.3x² - 2x - 8
c.3x² + 10x + 8
d.3x² - 10x + 8

Answers

Answer:

D. 3x^2-10x+8

Step-by-step explanation:

[tex] \: \: \: \: \: [/tex]

D. 3x²- 10x + 8

hope it helps

refer to the attachment

[tex] \: \: \: \: \: [/tex]

Alex borrowed 12.50 from his friend. He paid him back 8.75. How much does he still owe?

Answers

Answer:

3.75

Step-by-step explanation:

If Alex borrowed 12.50 and paid him back only 8.75, that means he still owes him 3.75. 12.50 - 8.75 = 3.75

AB, BC and CD are three sides of a regular octagon.
Find the size of angle BAC.
Give reasons for your answer.​

Answers

Answer:

  22.5°

Step-by-step explanation:

The exterior angle at B is 360°/8 = 45°. The congruent interior angles of the triangle at A and C total this amount. The angle BAC is 45°/2 = 22.5°.

What is the range of f(x)?

Answers

Answer:

{ f(x)| -∞ < f(x) ≤ 4 }

Step-by-step explanation:

The range of a function is the interval of every y-value represented on the function.  Since the highest this function goes on the y-axis is to y=4, we know that the upper limit of the range is 4, which is inclusive because the function actually reaches this value.  The function also appears to go down indefinitely on the right side, so the lower limit is -∞, which is non-inclusive because we will never reach that value.

The range is -∞ < f(x) ≤ 4

Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
NO BOTS OR ILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
ILL GIVE BRAINLY TO CORRECT ANSWER
100 points

Answers

Answer:

$4811

Step-by-step explanation:

Initial price = 35,000

18% decrease anually = 18/100 = -0.18

after 10 years

substitute these values in the formula shown in below figure

A = 35000 * ( 1 + -0.18/1  ) ^10

= 35000 * 0.82^10

= 4,810.681

= $4811

a. 17 + 6 10=17,6 b. 45 + 6 100 5 c. 3 + + 10 2 100 7 8 d. 6 + + 9 + 10 100 1 000 6 e. 11 + + 10 8 1 000 f. 84 + 1 3 + 100 10
Need help me​

Answers

Step-by-step explanation:

a. 17 + 6/10 = (17 x 10) / (1 x 10) + 6/10 = 170/10 + 6/10 = 176/10 = 17,6

b. 45 + 6/100 = (45 x 100) / (1 x 100) + 6/100 = 4 500/100 + 6/100 = 4 506/100 = 45,06

c. 3 + 5/10 + 2/100

= (3 x 100) / (1 x 100) + (5 x 10) / (10 x 10) + 2/100

= 300/100 + 50/100 + 2/100

= 352/100 = 3,52

d. 6 + 7/10 + 8/100 + 9/1 000

= (6 x 1 000) / (1 x 1 000) + (7 x 100) / (10 x 100) + (8 x 10) / (100 x 10) + 9/1 000

= 6 000/1 000 + 700/1 000 + 80/1 000 + 9/1 000

= 6 789/1 000 = 6,789

e. 11 + 6/10 + 8/1 000

= (11 x 1 000) / (1 x 1 000) + (6 x 100) / (10 x 100) + 8/1 000

= 11 000/1 000 + 600/1 000 + 8/1 000

= 11 608/1 000 = 11,608

f. 84 + 1/100 + 3/10

= (84 x 100) / (1 x 100) + 1/100 + (3 x 10) / (10 x 10)

= 8 400/100 + 1/100 + 30/100

= 8 431/100 = 84,31.

Hope this helps!!

help please and thank u​

Answers

Answer:

The line is y = (1/2)x + 3

Step-by-step explanation:

We can calculate a slope.  I'll use the two points (-4,1) and (-1,2.5).

Rise = (2.5-1) = 1.5

Run = (-1-(-4)) = 3

Rise/Run = Slope = (1.5/3.0) = 1/2

Find b, the y-intercept, by using point (-4,1) in the equation y = (1/2)x + b

y = (1/2)x + b

1 = (1/2)*(-4) + b

1 = -2 + b

b=3

The line is y = (1/2)x + 3

PLEASE HELP NEED TO GET THIS RIGHT WILL GIVE BRAINLIEST

Answers

Answer:

27 / 4x^6y^8.

Step-by-step explanation:

= 4 * 3^3 x^6 y^12 / 16 x^12 y^20

= 4*27 / 16 x^6y^8

= 4*27/ x^6y^8

= 27 / 4x^6y^8

Will give brainliest no files plz

Answers

Answer:

x=3 and y= 4 / 3 (Fraction)

Step-by-step explanation:

Substitute x for 6y-5.

2(6y−5)−3y=2

Add 6y and 3y, and multiply 5 by 2/Simplify the equation.

9y−10=2

Add  10 to both sides, and then divide each side by 9.

9y−10+10=2+10

9y / 9 = 12 / 9

y = 4/3.

Repeat the process but replace y with 4/3!

Answer:

x=3

y= 4/3

Step-by-step explanation:

2(6y-5)-3y=2

y= 4/3

x=6x 4/3-5

x=3

What is the range
of 98, 99, 100,
90, 98, 100?

Answers

Answer:

10

Step-by-step explanation:

Increasing order:-

90,98,98,99,100,100

Range = Highest term - Lowest term

Range = 100 - 90

Range = 10

Hence,

Range of the given term is 10

Answer:

10

Step-by-step explanation:

The data set in ascending order:

90, 98, 98, 99, 100

It has min = 90, max = 100

The range is the difference between min and max:

100 - 90 = 10

an electrician has 4.1 meters of wire.How many strips of 7 tenths can be cut?and how much wire will be left over?

Answers

If we’re talking about tenths, it would be .5 meters, with .6 meters of wire left over

0.5 meters per strip
0.6 meters left over

Which numbers are irrational

Answers

Answer:

A & B

Step-by-step explanation:

A rational number is a number that can be written as a fraction or a terminating or repeating decimal. An irrational number is one that cannot be written as a fraction, or one that goes on forever without terminating or repeating in any way. Let's check all of our options and find the ones that are irrational.

Our first option (A) looks irrational! The "..." shows us that it goes on forever, and it doesn't look like it repeats. So this option is irrational.

Our next option is B, the square root of 24. What is the square root of 24? Well, if we look it up on a calculator, we get 4.89897948557..., and it looks like this one doesn't terminate or repeat either. So option B is also irrational.

Option C is the square root of 121. The square root of 121 is 11, which can be written as a fraction (11/1) and is a terminating decimal. So it's rational.

Our last option is D, and it is written already as a fraction, so we know for sure that it's rational. If we divide it out, we get 0.44444... with the 4 going on forever. It's a repeating decimal, and repeating decimals are rational.

So our final answers for which are irrational are A & B.

Benny loves eating fruits. Benny paid $4.30 for apples, and $7.02 for peaches with
a $20 bill. How much change did Benny receive?

Answers

20-(4.30+7.02) = 8.68 so your answer would be $8.68

The FAA tracks average flight delays. It found that, last year, a particular airline had an average flight delay of 20 minutes. So far this year, the airline has an average that is 45% shorter. What is the current year's average?

Answers

Answer:

11 minutes

Step-by-step explanation:

45% of 20 can be found by multiplying 20 and 0.45

which equals 9

so if the average delay was 20 but is now 9 minutes shorter then the current year's average is 11 minutes

The average delay in the current year is 11 minutes.

Given that, last year, a particular airline had an average flight delay of 20 minutes.

This year the airline has an average that is 45% shorter.

We need to find what is the current year's average.

What is average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Now, 45% of 20=45/100×20=9

So,20-9=11

Hence, the average delay in the current year is 11 minutes.

To learn more about the average visit:

https://brainly.com/question/24057012.

#SPJ2

1. The diameter of each tire on a model car is 10.668 mm. The actual diameter of a car's tire is 5.29 X 102 mm. About how many times larger is the actual diameter of a car tire than the diameter of the tire on the model car? A 5 times B 50 times +90 100 times D 500 times​

Answers

The number of times the actual diameter is larger than the model is 50 times.

A tire has the shape of a circle. The diameter is line that goes through the center of a circle and divides the circle into two.

In order to determine how many times larger the actual diameter is greater than the model, the actual diameter would be divided by the diameter of the model.

5.29 x 10² ÷ 10.668

529 ÷ 10.668

= 49.6

= 50 times

Please find attached an image of a circle. To learn more, please check: https://brainly.com/question/13590859

answer this
help me with this question.​

Answers

Answer:

i cant read the handwriting

Step-by-step explanation:

Two trains are traveling at a constant rate. Find the rate of each train. Which train is traveling at a faster rate?

Answers

Answer:

Train A

Step-by-step explanation:

Look at the table.

Train A : 75 - 50/ 3 - 2 = 25 mi/n

Train B : 40 - 0/ 2 - 0 = 20 mi/n

25  > 20

So it's train A.

{ RATE }

The measures of angles x and y in the above figure is:

Answers

Step-by-step explanation:

sum of 2 angles on a straight line = 180°

therefore,

y + 120 = 180

y = 180 - 120 = 60

y = 60°

now apply angle sum property of triangle

now,

50 + x + y = 180

50 + x + 60 = 180

110 + x = 180

x = 180 - 110

x = 70

therefore, x = 70 & y = 60

hope this answer helps you dear! take care

Answer:

x = 70°

y = 60°

Step-by-step explanation:

hope it helps u

plzz plzz pLZZ MARK AS BRAINLIEST

A regular polygon has 45 sides.

Find the size of each of its exterior angles.

100 POINTS

Answers

Answer:

8

Step-by-step explanation:

360/45 = 8

We know

Sum of exterior angles of any polygon is 360°

Let every angle be x

[tex]\\ \sf\longmapsto 45x=360[/tex]

[tex]\\ \sf\longmapsto x=360/45[/tex]

[tex]\\ \sf\longmapsto x=8°[/tex]

Can someone reflect (7,6) across the x axis then reflect across the y axis

Answers

Answer:

(7, -6)

(-7, -6).............

..

Answer: -7,-6

Step-by-step explanation:

So if we look at a graph 7,6 is on the right upper quadrant since its completely positiv, once we relfect the x axis then it becomes 7,-6 then once we reflect across the why axis it finally becomes -7,-6

7. Two numbers are at a ratio of 5: 9. Find the larger number if the smaller number is 35.

Answers

Answer:

63

Step-by-step explanation:

What is the measure of angle x?

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today!

We can solve this problem in two steps, one being comprehension and another being solving. I'll start off with comprehension.

Comprehension

We can start to solve this problem by looking at it.

We can see that there is a right angle, therefore the angles that are in it are Complementary (Add up to 90).

That means that 30+3x=90.

We can now begin solving.

Solving

We can start solving by setting up an equation.

[tex]30+3x=90[/tex]

We can do this because we know due to the law of complementary angles that 30 and 3x MUST equal to 90.

[tex]3x=60\\x=20[/tex]

We can do basic algebra, we can find out that x is equal to 20 degrees. Let's now check our answer.

[tex]30+3(20)=90?\\30+60=90?\\90=90[/tex]

Therefore the answer is x=20 degrees

Cheers!

Answer this middle school math equation for 30 points lol

Answers

Answer:

n

Step-by-step explanation:

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

Multiply both sides by -5:

[tex]-\frac{1}{5} (x-4)=-2[/tex]:

[tex]-\frac{1}{5} (x-4)*-5=-2*-5[/tex]

[tex]1(x-4)=10[/tex]

[tex]x-4=10[/tex]

Add 4 to both sides:

[tex]x-4+4=10+4[/tex]

[tex]x=14[/tex]

David descarga un video de 72 megabytes en 8 minutos ¿cuantos megabytes descargara en 13 minutos ?

Answers

Answer:

117 megabytes

Step-by-step explanation:

Por regla de tres:

72 mb son a 8 mins

D mb son a 13 minutos

D = 13*72/8

D = 117 mb

Which expression represents the area of this figure in square feet?

Answers

Answer:

(3×2) + (3×4)

Step-by-step explanation:

One box's area is 3×2 and the other box's area is 3×4, so when you add them, you get the total area.

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