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

Someone help me pls!

You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40

How much will you save per apple if you buy them at the cheaper store?

Answers

Answer:

You save $0.09 at Quick Mart for price per apple

Step-by-step explanation:

Quick mart = 1.17/3 = $0.39 per apple

Shop & Save = $0.48

$0.39 - $0.48 = $0.09

You save $0.09 per apple at Quick Mart

-Chetan K

i think 2.40$ or 3.40$ or some kind of money

I WILL GIVE BRAINLIEST

Answers

Answer:

= -3x +3

Step-by-step explanation:

like terms (7x) -(4x)

or 7x + -4x = -3x

no like terms to condense 3

2 X a =11+11 ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

2 × a = 11 + 11 ---> 2a = 22 ---> a = 22/2 = 11

Follow me and hope it helps

#The spirit of learning

Please help me with this.

Answers

Answer:

D

Step-by-step explanation:

a,c,d are same but b is different.

Which of the following sets of lengths could form the sides of a triangle? Choose all that
apply.
А
7, 9, 17
B
7, 2,8
C
3, 1,5
D
6, 3,5
E
12, 12, 13
F
3,11,8

Answers

Answer:

B, D and E

Step-by-step explanation:

The first triangle inequality theorem states:

the lengths of any two sides of a triangle must add up to more than the length of the third side.

So as long as the sum of the two shortest is greater than the longest side a triangle is possible

А

7 + 9 < 17  NO

B

2 + 7 > 8   YES

C

1 + 3 < 5   NO

D

3 + 5 > 6   YES

E

12 + 12 > 13  YES

F

3 + 8 = 11    NO

URGENT!!!! i'll mark u as brainliest!

Answers

Answer:

a) 180°

b) 360°

c) 180° (Interior angles)

d) 180°

e) (n-2)180

f) Equal

g) Equal

h) Equal

Step-by-step explanation:

-7/10 + 7 2/3
show all ur work

Answers

Answer:

-7/10 + 7 2/3 = 209/ 30 = 6 29/ 30 ≅ 6.9666667

Hope This Helps!!!

Answer:

6 29/30 or 209/30

Step-by-step explanation:

-7/10+  7 2/3

-7/10+23/3

-21/30+ 230/30

209/30

which is 6 29/30

Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 3%. How much money did Edward earn in interest?

Answers

Answer:

$900

Step-by-step explanation:

3% of 6,000 is 180

so, he earns $180 per annum

5 YEARS LATER

he has been earning $180 every year, so,

180+  180+ 180+ 180+ 180, or 180*5

$900

Hope this helps!

help meeeee it's some math stuffff

Answers

SAS or AAA or SSS

Side or Angle

what is f (x) = (3x^4 +1) ^2

Answers

Answer:

Cancel the common factor. Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x3+43 f - 1 ( x ) = 2 x 3 + 4 3 is the inverse of f(x)=3x−42 f ( x ) = 3 x - 4 2

Step-by-step explanation:

Determine whether the lines are parallel, intersect, or coincide y=-7x-+1 y=-7x-3

Answers

Answer:

Parallel

Step-by-step explanation:

2÷2563783939282727262626266262534434262788900

Answers

Answer:

128189196964136363133131267217131394450

Step-by-step explanation:

hope this is helpful

Use the diagram to the right for questions 16 - 20.
MNP ~ SRP

Answers

Answer:

16) 16/3

17.) ength of PM = 20/3

18.) 60

19.) 30

20.) true

Step-by-step explanation:

4/6 = x/8

32/6=x

16/3=x

4/6 = x/10

20/3 = x

о
3. Aspect Ratios (Tires)
If you have changed the tires on your car, the original diameter is 21 inches. to a new diameter of 25.2 inches,
how fast are you actually going if your speedometer is reading 53 mph?
a
44.2 mph
b. 63.6 mph
c. 60.8 mph
d. 53 mph

Answers

i believe the answer is i had this question the other day C. 60.8

a box is shaped like a cube.the box a length of 1 foot, a width of 1 foot and a height of 1 foot. what is the volume of the box

Answers

Answer:

1 ft^3

Step-by-step explanation:

Answer:

1 ft^3

Step-by-step explanation:

Volume = Length x Width x Height, so 1x1x1. For volume ft would be cubed.

what 1.9 divided by 4

Answers

1.9 dived by 4 = 0.475

Answer:

0.457

Steps bye step explanation:

Simplify the expression 8h + (-7.7d) -14 + 5d - 2.4h.

Answers

Answer:

8h - 7.7d - 14 + 5d - 2.4h

5.6h - 2.7d - 14

Answer:

8h+-7.7d-14+5d-2.4h

Combine -7.7d and 5d to get -2.7d.

8h-2.7d-14-2.4h

Combine 8h and -2.4h to get 5.6h.

5.6h-2.7d-14

Step-by-step explanation:

id k

Plzzz help meeee plzzzzzz

Answers

Answer:

  a) $560

  b) 80%

  c) $1134

Step-by-step explanation:

a)

The profit is the difference between selling price and cost price:

  profit = $1260 -700 = $560

__

b)

As a fraction of the cost price, the profit is ...

  $560/$700 × 100% = 80% . . . . of the cost price

__

c)

A 10% discount from the selling price makes it ...

  $1260 × (1 -10%) = 0.90×$1260 = $1134

A student will pay $1134 for a calculator.

(3 x^-2 y^3)^3 Please help ASAP

Answers

Answer:

I don't understand what do you mean by (3 x^-2 y^3)^3

by itself?


-6) -6x — 10y = 3
12х + 20 y = 0
Elimination or substitution?
Solve

Answers

Answer:

Elimination and y=4 x=6

Step-by-step explanation:

a restaurant bill is $53.15. what is the estimated total cost of the bill with a

15% tip?


not a multi choice you enter a answer !

Answers

Answer: the answer is 7.95 because 15% tip on 53.15 is 7.95

evaluate -4(5-(36÷4))​

Answers

Answer:

16

Step-by-step explanation:

- 4 ( 5 - ( 36 ÷ 4 ) )

= - 4 ( 5 - 9 )

= - 4 ( - 4 )

= - 4 * - 4

= 16

Express in the form n:1

12:2

Answers

Answer:

6:1

Step-by-step explanation:

The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .

The answer should be 6:1

1. ) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.

Answers

Answer:

710

Step-by-step explanation:

81+74+72+66+67+72+66+66+72+65+71= 701

701 rounded to the nearest tenth is 710

There are 6 circles and 9 triangles. What is the simplest ratio of circles to total
shapes?

Answers

Answer:

2:5

Step-by-step explanation:

6 circles : 9 triangles.

Solving for ratio of circles and total

6 circles: 15 shapes ( added 6 and 9 )

thus this can reduce to

2:5 <-- by 3 ( 3*2=6) and (3*5=15)

Leave a comment if this doesn't make sense ;)

Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
Escribe un sistema de ecuaciones que permita calcular cuántos vehículos de cada tipo traslada el camión. Usa a para representar la cantidad de autos y c para representar la cantidad de camionetas que traslada el camión.

Answers

El sistema de ecuaciones queda descrita por las siguientes expresiones:

[tex]a+c = 12[/tex]

[tex]2\cdot a + 3\cdot c = 33[/tex]

Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.

El enunciado es equivalente a un sistema de dos ecuaciones lineales con dos incógnitas. Una ecuación para la cantidad de vehículos trasladados por el camión y otra ecuación para la masa total trasladada:

[tex]a+c = 12[/tex] (1)

[tex]2\cdot a + 3\cdot c = 33[/tex] (2)

Donde:

[tex]a[/tex] - Cantidad de autos.[tex]c[/tex] - Cantidad de camionetas.

El sistema de ecuaciones queda descrita por las siguientes expresiones:

[tex]a+c = 12[/tex]

[tex]2\cdot a + 3\cdot c = 33[/tex]

Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.

Invitamos cordialmente a ver este problema sobre sistemas de ecuaciones: https://brainly.com/question/17174746

Please help me please pleaee

Answers

Hello,

A.i. the circumference of a circle is nothing else but its perimeter which formula is π × diameter = π × 2 × radius

Let π = 22/7 ≈ 3.142857, the egyptian approximation

Then if C is the circumference of the circle i., C = 22/7 × 21 = (22 × 21) / 7 = (22× 7×3 )/7 = 22 ×3 = 66 cm

ii. Applying the same formula for the second circle gives us C = 22/7 × 8 = 176/7 ≈ 25.14 meters, rounded to the nearest hundredth...

Good luck !

Answer:

a) 66cm.       b) 50.28cm. or 50 2/7cm.

Step-by-step explanation:

The circumference of a circle is C=2πr or C=πd.

π=22/7

a)  C=πd

Plugin the diameter.

C=22/7 x 21

=66cm.

b) C=2πr

Plugin the radius.

C=2 x 22/7 x 8

=50.28cm. or 50 2/7cm.

Hope this helps :)

3. George is at the craft show selling homemade ice cream. He must pay

$45 for a booth rental and costs him $3.50 to make each Ice cream

cone. He sells each ice cream cone for $5.00.

The inequality 45 + 3.50c < 5c represents the situation in which George

makes a profit

a). Will George make a profit if he sells 29 cones? Explain why or why not.

Answers

Answer:

no 146.5 > 145

Step-by-step explanation:

Identify two opposite rays.​

Answers

Answer:

B and D

Step-by-step explanation:

opposite rays 180° to each other

here B and D are opposite rays

Answer:

B and D

Step-by-step explanation:

Each opposite ray need 180 degree.

13 What is the equation of the line that has a slope of -3 and passes through the point (4,6)?
A-3x+y=-14
B -3x+y=-6
C 3x+y=18
D 3x+y=22

Answers

Step-by-step explanation:

the general equation of a line is

y = ax + b

a is the slope of the line.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

6 = -3×4 + b = -12 + b

18 = b

so, the full line equation is

y = -3x + 18

which is answer C : 3x + y = 18

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