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

PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS!

Answers

Answer:

I would say D. There is no logical explanation for the final answer but there is for everything else.

For A: Makes sense because 3x-2 are in parenthesis outside a number so you can multiply.

For B: Makes sense because you are allowed to add/subtract like terms but in this case only subtracting would make sense, (which is what they did) since you want to get all the like terms on one side.

For C: Makes sense because you are trying to simplify the equation, and they are both like terms (they are both numbers that have no letter attached to them) and they are on the opposite side making them able to be simplified.

For D: No idea what the point is.

Clayton draws 3 pictures in 25 minutes. He drew 24 pictures this week. How many minutes did Clayton spend drawing the pictures?
NEED A ANSWER ASAP

Answers

Answer:

200 minutes

Step-by-step explanation:

24 / 3 = 8

25 * 8 = 200

200 minutes

The rate will be 8.33 minutes per picture. Then the number of minutes will be 200 minutes.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Clayton draws 3 pictures in 25 minutes. Then the rate is given as,

Rate = 25 / 3

Rate = 8.33 minutes per picture

He drew 24 pictures this week. Then the number of minutes is calculated as,

⇒ 24 x 8.33

⇒ 200 minutes

The rate will be 8.33 minutes per picture. Then the number of minutes will be 200 minutes.

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I need help on this with solutions please

Answers

Answer:

See answers below:

1. AAS2. ASA3. SAS4. HL5. SSS6. ΔABC ≅ ΔDFE7. ΔTRS ≅ ΔTUV8. ΔTRS ≅ ΔSUT9. ΔCAB ≅ ΔFDE

there are 5 people in Edgar's family. they have 3 loaves of pumpkin bread to share equally. Edgar wants to know how much pumpkin bread he will get?

Answers

Answer:

3 divided 5

Step-by-step explanation:

Edgar will get 3/5 or 0.6 part of pumpkin bread.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Total numbers of people in Edgar's family = 5

Total number of pumpkin bread = 3

Since, 3 bread are divided equally among 5 people,

implies that, bread will divide in the same ratio,

5 people = 3 bread

1 people= 3/5 bread

1 people= 0.6 part of bread

So Edgar will get 3/5 or 0.6 part of bread.

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[Calculus] analyze speed from position. Show steps, please!

Answers

Answer:

B

Step-by-step explanation:

We are given that the position of a particle is modeled by the function:

[tex]s(t)=2t^3-24t^2+90t+7[/tex]

And we want to find the times for which the speed of our particle is increasing.

In other words, we want to find the times for which our acceleration is positive (a(t)>0).

So first, we will find our acceleration function. We can differentiate twice.

By taking the derivative of both sides with respect to t, we acquire:

[tex]\displaystyle s^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-24t^2+90t+7\big][/tex]

Differentiate:

[tex]v(t)=6t^2-48t+90[/tex]

This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:

[tex]\displaystyle v^\prime(t)=a(t)=\frac{d}{dt}\big[6t^2-48t+90\big][/tex]

Differentiate:

[tex]a(t)=12t-48[/tex]

If our speed is increasing, our acceleration must be positive. So:

[tex]a(t)>0[/tex]

By substitution:

[tex]12t-48>0[/tex]

Now, we can solve for t:

[tex]12t>48\Rightarrow t>4[/tex]

Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.

So, our answer is B.

Pls give the right answers
Pls help
Pls help
Pls help

Answers

Answer:

H

Step-by-step explanation:

Because I’m decimal if it is negative the greater the number in negative the less it is

What do you get when you cross an electric eel and a sponge puzzle time riddle

Answers

Answer:

A shock absorber?

Step-by-step explanation:

the food pantry distribution 10 oz bags of rice if 3 5 lb bags are donated to the pantry how many 10 ounce bags can be made ​

Answers

Answer:

24 bags can be made from three 5 pounds bags.

Step-by-step explanation:

Given that:

Three 5 pound bags are donated.

Total weight of bags = 3*5 = 15 pounds

We know that:

1 pound = 16 ounces

15 pounds = 16*15 = 240 ounces

A bag weighs 10 ounces.

Number of bags = [tex]\frac{240}{10}[/tex]

Number of bags = 24 bags

Hence,

24 bags can be made from three 5 pounds bags.

Evaluate the expression when a=10,b=9, and c=4.
3a+2b−6c =

Answers

Answer:24

Step-by-step explanation:

Multiply 3 times ten, 2 times 9, and 6 times 4 and solve you get 24

The value of the given expression is 24.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 3a+2b-6c.

Substitute a=10,b=9, and c=4 in the expression 3a+2b-6c, we get

3×10+2×9-6×4

= 30+18-24

= 24

Therefore, the value of the given expression is 24.

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418/36 as a mixed number

HELP PLEASE

Answers

Answer:

11 11/18

Step-by-step explanation: a quick search

-4 > x - 3 find x in the equation

Answers

Answer:

X= -1

Step-by-step explanation:

I GIVEEE BRAILILSTTTTTTTT

Answers

Answer:

umumumuykik.iu.fg

Step-by-step explanation:

lui;iou;uyfluylfuy;lui;uy;

What is the simplified form of (3\4)exponet3 ? Enter your answer as a fraction by filling in the boxes.

Answers

Answer:

Calculator to simplify complex fractions; fractions that have numerators and denominators, each of which are a mixed number, fraction, or integer. Solutions are given to solve the complex fraction by LCD multiplication or as Enter Mixed Numbers, Fractions or Integers  Reduce fractions where possible163−615=163−25.

Step-by-step explanation:

Kenny drank 37 ounces of milk during the
day. How many cups of milk did he drink?

Answers

Answer:

4.625

Step-by-step explanation:

that is the answer

Convert to centimeters: 43 meters

Answers

4300
One meter is 100 centimeters

Solve the equation. 2/3 t=4/5


A. t= 2/15


B. t= 8/15


C. t= 1 and 1/5


D. t= 1 and 7/15

Answers

Answer:

it's C.

Step-by-step explanation:

make it braintliest please

market price of a dress is 1500 rupees shop owner give a discount of 20% find the discount and the bill amount paid​

Answers

Step-by-step explanation:

Marked price (mp) =rs 1500

discount (d) = 20%

discount amount = d% of mp

=20/100 *1500

= Rs. 300

bill amount paid = mp -d

= 1500 - 300

= Rs. 1200

Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.
(14, -7)
(2, 1)
(14, 1)
(2, -7)

Answers

Answer:

(14 , -7)

Step-by-step explanation:

terminal points: A (-6,3)   B (4,-2)

u = x₁ + i y₁    u = -6 + i3

v =x₂ + iy₂ = 4 - i2       2v = 8 - i4

2v - u = (8 - i4) - (-6 + i3) = 14 -i7

Resulting terminal point: (14 , -7)

Position vectors u and v have terminal points of (-6, 3) and (4, -2), respectively. Find the resulting terminal point of 2v - u.

(14, -7)

(2, 1)

(14, 1)

(2, -7)

Find the arc length of the semicircle. 8

Answers

Answer:

π×8² =

201.0619298297

arc length formular = π ×r²

-3p>-48 Solve the inequality

Answers

9514 1404 393

Answer:

  p < 16

Step-by-step explanation:

Dividing the inequality by a negative number will reverse the comparison.

  -3p > -48

  (-3p)/(-3) < (-48)/(-3) . . . . divide both sides by the coefficient of p

  p < 16

_____

Alternate solution

Add 3p+48 to both sides.

  -3p +(3p +48) > -48 +(3p +48)

  48 > 3p

Divide both sides by 3; no reversal is necessary.

  16 > p . . . . . same answer as above, without the comparison reversal

Look at at pic attached! Pls hurry :( 21 points

Answers

Answer:

C option

Step-by-step explanation:

bcz root of 121 is 11. then 2/3 +11 will give you a rational number.

Answer:

2/7 + square root of 121 (the third one)

Step-by-step explanation:

a rational number is a number where if you write it as a fraction, both the numerator and denominator are integers (numbers like 1 and 2 but not like 3.4 or 5.6)

the equation simplified a bit looks like this:

2/7 + 11/1

anddd so all the numbers are integers which means that expression is correct :3

Hudson wants to ride his bicycle 51 miles this week. He has already ridden 12 miles. If he rides for 6 more days, what is the average number of miles he would have to ride each day to meet his goal?​

Answers

6.5 because 51-12 is 39 and 39 divided by 6 is 6.5 so about 6.5

A local pizza shop has a membership program for frequent buyers. The membership
costs $15 per month and members get a discounted price of $2 per slice of pizza.
Mayerlin purchased a membership to this pizza shop. How much would Mayerlin
have to pay the pizza shop if she bought 11 slices of pizza this month? What would be
the monthly cost for x slices of pizza?

Answers

The answer to this problem might be 5 slices

Answer:

cost of slices=2x

cost=monthly fee+cost of slices

15x+2x

Step-by-step explanation:

What is the following product?

Answers

Answer:

10.25 which is equal to letter c

Step-by-step explanation:

I used a calculator and figured out which equals it

. Which expression is equivalent to 14-9?
math

Answers

Answer:

5

Step-by-step explanation:

help quick please ! 10 points​

Answers

Answer:

A, (Hope that was correct)

Step-by-step explanation:

Which has the greatest value for 1? *
A. 0.1
B. 0.21
C. 0.321
D. 0.4321​

Answers

Out of all the numbers

D. 0.4321 is the largest number

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!

Please someone help:)

Answers

Answer:

Im lost to lol mark brainlest imagine

3x3z−6z for z=5 solve pllllsslssss

Answers

hi luv!!!
i’m doing the problem right now, so in the first part. do you want me multiply 3x with 3z?
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