Valeria is playing with her accordion. The length of the accordion A(t)A(t)A, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) after she starts playing as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts playing, the accordion is 15\text{ cm}15 cm15, start text, space, c, m, end text long, which is the shortest it gets. 1.51.51, point, 5 seconds later the accordion is at its average length of 21\text{ cm}21 cm21, start text, space, c, m, end text. Find A(t)A(t)A, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.

Answers

Answer 1

Answer:

−6cos(  π/3  t)+21

Step-by-step explanation:

Answer 2

The length of the accordion  is −6cos(  π/3  t)+21.

How to derive a sinusoidal expression?

We must figure out the periodic phenomenon's amplitude, period, and vertical shift in order to create a sinusoidal function that models it. Additionally, we must choose between using a sine or a cosine function and calculate the ensuing phase shift.

Given

A = 5+1 = 6

Shift = 21

ω =- π/3[because of 4th quadrant]

exp = Asin[-ωt] + shift

      =-Acosωt + shift = -6cosπ/3 t + 21

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Related Questions

Factor this polynomial completely.
x^2-8x+16

A. (x-4) (x-4)
B. (x+4) (x+4)
C. (x-4) (x+4)
D. Does not factor

Answers

Answer:

(x-4) (x-4)

Step-by-step explanation:

foil [first, outside, inside, last]

x^2 -8x = 16

(x-4) (x-4) = x^2 -4x -4x +16 = x^2 -8x +16

Answer: (x-4) (x-4)

Step-by-step explanation:

I have done this before!

Convert y = 8x2 + 128x + 48 to vertex form by completing the square. Choose the
correct equation,

Answers

Answer:

y=8(x+8)^2-464

Step-by-step explanation:

hope this helps

Y=8. D did d d d did. D d d d d d d. D d d

Maddie's bedroom is rectangular. The length of one wall of Maddie's bedroom is 4 meters. The length from one corner of the bedroom to the diagonally opposite corner is 5 meters. What is the length of the other wall?

Answers

Answer:

The length of other wall is 3 meters.

Step-by-step explanation:

Given that:

Length of one wall = 4 meters

Length of diagonal from one corner to opposite corner = 5 meters

As the room is rectangular, the diagonal will form a right angled triangle.

The diagonal will be the hypotenuse.

Using pythagorean theorem;

[tex]a^2+b^2=c^2[/tex]

Here,

a = 4 and c = 5

[tex](4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9[/tex]

Taking square root on both sides

[tex]\sqrt{b^2}=\sqrt{9}[/tex]

b = 3 meters

Hence,

The length of other wall is 3 meters.

The options are <,>,=

Answers

Answer:

<

Step-by-step explanation:

(Please i need help) The expression p - 0.15p can be used to calculate the final cost of an item that has a price of p and is
discounted 15%.
What is the final cost of an item that has an original price of $23?
Enter your answer as the correct value with two decimal places, like this: 42.53

Answers

Answer:

Final cost of the item is $19.55

Step-by-step explanation:

Expression representing the final cost of an item with original price = $p and discount = 15% will be,

Final cost = (p - 0.15p)

If the original price p = $23

By substituting p = 23 in the expression given,

Final cost after discount = 23 - (0.15)23

                                         = 23 - 3.45

                                         = $19.55

Therefore, final cost of the item is $19.55

help quick please ! 10 points​

Answers

Answer:

A, (Hope that was correct)

Step-by-step explanation:

does anyone know the values of x and y? my teacher didn’t go over this type of problem

Answers

Answer:

x = 80

y = 100

Step-by-step explanation:

First, we need to figure out how many degrees there are in total in the inside of the polygon. There are 7 sides, so now let's use the formula to find out the total degrees.

(n - 2) * 180

"n" is the amount of sides.

(7 - 2) * 180 =

5 * 180 =

900

The total degrees is 900.

Now, we have to add all the sides in the inside to form an equation to solve for y.

y + 135 + 140 + 150 + 120 + 135 + 120 = 900

y + 800 = 900

y + 800 - 800 = 900 - 800

y = 100

Now, we know that x and y are supplementary angles. So the sum of x and y is 180. We can use that to create an equation to solve for x!

x + y = 180

x + 100 = 180

x + 100 - 100 = 180 - 100

x = 80

Therefore, x = 80 and y = 100

Hope this helped! <3

PLEASE HELP I WILL GIVE BRAINLIEST!!!

1 - A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.
2 - A system of equations may not have an exact solution that meets the conditions of a real-world solution.

it would be so amazing if you could help, im legit so confused :(

Answers

Answer:

1-   1+2+3+4+5 = 15

Step-by-step explanation:

WILL GIVE BRAINLIEST
HELP ASAP
PLEASE

Answers

Answer:

143

Step-by-step explanation:

Answer: I think for number A 3+5x2=X

I’m not sure about B tho

Step-by-step explanation:

You add 3+5 then you multiply it by 2 cause it twice as large

As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.

Answers

Answer:

about 30 km. If it wasn't estimated, it would be 30.8994048 km.

Answer:

12

Step-by-step explanation:

A nursery owner buys 5 panes of glass to fix some damage to her greenhouse. The 5 panes cost ​$13.25. ​Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of​ glass?

Answers

Answer:

5,30

Step-by-step explanation:

1325:5=2,65

265.2=530

Answer:

It is 530

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Enter the value of

3 + (10 x 12) – 7

Answers

Answer:

116

Step-by-step explanation:

Pemdas so do the 10 × 12 first... you get 120 the you go left to right so 3 + 120 = 123... subtract 7 from that and you get 116.

can someone help me out?

Answers

First you have to solve for x. X=32.
5*32-12=148
148=(3y-8).
y=52

Answer:

y is equal to nine and two thirds, or 9.666...

Step-by-step explanation:

To solve this, we first need to know the value of x.  We can see though that x + (x - 12) is equal to 180 degrees, so:

x + 5x - 12 = 180

6x = 192

x = 32

Now that we have x, we can use the same rule to solve for y:

3y - 8 = x

3y - 8 = 32

3y = 40

y = 40 / 3

So y = 40/3, or 9 and 2/3

Bonus:

I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.

If that were the case we'd have:

3y + 8 = 32

3y = 24

y = 8

A nice clean answer

To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.

Helppp meee!!!!!!!!!!

Answers

C because 180-230 would be negative b as well as three quarters of seven

a circle has a center at (-2,7). if a point on the circle has coordinates (3,-1) then which of the following would be the length of the radius of the circle

Answers

Answer:

square root of 65 or 8.06

Step-by-step explanation:

(x-2)^2+(y-7)^2+65

hope this helps

The length of radius is 7.81 unit.

What is Distance Formula?

The distance between two points P(a, b)a nd Q(c, d) is

D = √(c- a)² + (d- b)²

Given:

Center at (-2,7) if a point on the circle has coordinates (3,-1).

Using Distance Formula

D = √( 3-(-2))² + (1-7)²

D = √ (3 +2)² + (-6)²

D = √5² + 36

D = √25+36

D = √61

D= 7.81 unit

Hence, the length of radius is 7.81 unit.

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The perimeter of a rectangle is 120 centimeters. The base is 3 times the height. What are the dimensions of the rectangle? a. h = 9cm, b = 18 cm c. h = 15 cm, b = 45 cm b. h = 19 cm, b = 57 cm d. h = 10 cm, b = 15 cm

Answers

Answer:

[tex]Height = 15[/tex]

[tex]Base = 45[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Perimeter = 120cm[/tex]

[tex]Base = 3 * Height[/tex]

Required

Determine the dimensions

The perimeter of a rectangle is:

[tex]Perimeter = 2 * (Base + Height)[/tex]

Substitute 120 for Perimeter

[tex]120 = 2 * (Base + Height)[/tex]

Divide both sides by 2

[tex]60 = Base + Height[/tex]

Substitute 3 * Height for Base

[tex]60 = 3 * Height + Height[/tex]

[tex]60 = 3Height + Height[/tex]

[tex]60 = 4Height[/tex]

Divide both sides by 4

[tex]15 = Height[/tex]

[tex]Height = 15[/tex]

Substitute 15 for Height in [tex]Base = 3 * Height[/tex]

[tex]Base = 3 * 15[/tex]

[tex]Base = 45[/tex]

1. George's gross pay was $565. If he has to pay 1.45% to Medicare tax, how much will the Medicare tax deduction be?
o
$8.19
$5.45
$819.25
$0.81

Answers

Answer: $8.19

Step-by-step explanation: Times 565 by 1.45% and that's what you get.

Answer:

The answer is $8.19

Step-by-step explanation:

9cm: to 12cm ratiosss can u guys helpp meeee

Answers

Answer:

I think 3 upon 4/ 3 by 4 is right answer

Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 50.00 ounces. One bag of cereal weighs 16.03 ounces, the other weighs 18.98 ounces. How much does the box weigh?
14.99 ounces
14.72 ounces
14.08 ounces
14.01 ounces

Answers

14.99 is the correct answer

Nate needs at least 15 pounds of chocolate to make his chocolate fountain work. He already has 8 pounds of chocolate. What is the smallest amount that he can get to make the chocolate fountain work? Write an inequality and solve. Let c represent the amount of chocolate Nate needs to get.

Answers

Answer:

[tex]8+c\le15[/tex]

 

A 20-question math test is worth 100 points.Multiple choice questions worth 4 points each.Bubble grid questions are worth 8 points each.How many of each type of question is on the test?

Answers

Answer:

There are 5 8-point questions and 15 4-point questions

Step-by-step explanation:

20.4= max points 80 limit of points = 100

20.8= max points 160

100:4= max 25 questions limit of questions = 20

100:8= max 12,5 question

5.8=40

15.4=60

There are 5 bubble grid questions and 15 multiple choice questions.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let,

Multiple choice questions denoted by M

Bubble grid questions are denoted by B

A 20-question math test is worth 100 points.

M+B=20..(1)

Multiple choice questions worth 4 points each. Bubble grid questions are worth 8 points each.

4M+8B=100..(2)

From equation 1,

M=20-B

4(20-B)+8B=100

80-4B+8B=100

80+4B=100

Subtract 80 from both sides

4B=20

Divide both sides by 4

B=5

Now plug in B value in equation 1.

M+5=20

Subtract 5 from both sides

M=15

Hence, there are 5 bubble grid questions and 15 multiple choice questions.

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y = 2x - 5
y = 5x -5
Determine if is parallel or perpendicular?

Answers

Answer:

The lines intersect, but they're not parallel or perpendicular.

What property can be used to simplify the expression:


27(2p + 4e + 10p + 20)

Answers

Well, you can use distributive property to solve this question.
27(2p + 4e + 10p + 20)
= 54p + 108 + 270p + 540
= 324p + 648

If I had 20 dollars every other week for a year how much would I have

Answers

You’d have 520 Dollars


Why do you think most people who have lived
on our planet would have been suspicious of negative
numbers?

Answers

Answer:

I do not know

Step-by-step explanation:

I guess because negative represents going down :/

Please help..........

Answers

Answer:

1178 inches

Step-by-step explanation:

Using the triangle I drew (assuming n is across from ∠N), we can conclude that ∠O = 180-97-32 = 51 as the angles in a triangle add up to 180.

Using the law of sines, we can conclude that

[tex]\frac{o}{sinO} = \frac{n}{sinN} \\[/tex]

Plugging our values in, we get

[tex]\frac{o}{0.78} = \frac{800}{0.53}[/tex]

Multiply both sides by 0.78 to get

[tex]o = \frac{800*0.78}{0.53} = around 1177.5[/tex]

round up to get 1178 as our answer

Find the volume of the following figure

Answers

Answer:

there is no picture?

Step-by-step explanation:

There is no picture?

a triangle has 2 angles with measures of 40 degrees and 60 degrees. what is the measure of the third angle?
acute
obtuse
right
it doesnt make a triangle

Answers

Answer:

Step-by-step explanation:

Sum of angles in a triangle is 180 degrees

180-40-60 = 80

80 degrees

80 degrees is an acute angle.

Answer:

It would be 80 degrees which is an acute angle

Step-by-step explanation:

A triangle is 180 degrees in total 60 degrees + 40 degrees is 100 degrees leaving you with 80 degrees its acute because, 0 degrees to 90 degrees is an acute angle. Hope this helped!

What is the exact value of cos7pi/12

Answers

(sqrt2 - sqrt6)/4 = - 0.259

cos ((7pi)/12) = cos 105 = - 0.259

Answer:

D. sprt2 - sqrt6/4

Step-by-step explanation:

If you mean the answer for edg that's what it is.

Hope that helps

Multiply: 14.3 x 0.5. SHOW YOUR WORK!

Answers

14.3x0.5 =7.15  all you have to do is line them up or do it old fashion way

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