A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If we start observing the piston at its maximal height, find an equation modelling the height, h, t seconds from the initial observation.

Answers

Answer 1

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt


Related Questions

The measures of three of the interior angles of a quadrilateral are 60o, 110o, and 90o What is the measure of the fourth angle of this quadrilateral?

Answers

Answer:

100 degrees

Step-by-step explanation:

sum of angles in a quadrilateral = 360

missing angle = 360 - (60 + 110 + 90) = 100

The mean numberr of stereos sold per day at the store was 15 over a period of 7 days which statement must be true about the stereo sales at the store

Answers

Answer:

well I don't know the options, but I do know that 105 would have been sold in a week.

Step-by-step explanation:

15 x 7 = 105

No links! Please!!

Factor 28x+12y using the GFC

Answers

Answer:

4(7x + 3y)

Step-by-step explanation:

28x+12y using GCF(greatest common factor)

gcf = 4

4(7x + 3y)

Answer:

4(7x+3y)

Step-by-step explanation:

28x+12y

Factor out the greatest commom factor  "4"

4(7x+3y) is the answer

Which function has a graph with
x-intercepts of (-2, 0) and (7,0)?

The photo is the answers

Answers

A











..






Z




Z
Z
Z
Z



Z
Z


Z






A



A








Answer is A

If kobe had 30 girls and Shaq had 20 girls... How many more girls does Kobe have than Shaq?

Answers

Answer:

10 more shawties

Step-by-step explanation:

30-20 = 10

ANSWER ASAP ILL GIVE BRAINLIEST

Answers

Answer: C

Step-by-step explanation: There are 9 cards. 3 are vowels. 3/9 reduces to 1/3

Help me please. I don't understand this.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.

It seems to be a good idea to start with the formula for the volume.

Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).

Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.

Evaluating it gives the volume in cubic units.

_____

Additional comment

If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).

However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.

Help me grade 9! Thankyou

Answers

Answer:

got ya

Step-by-step explanation:

MARKED BRAINLIEST!!!

Answers

Answer:

(3,-4)

Step-by-step explanation:

Sorry if it is wrong

The run is 2 rise is 3

What is 714.29+98.65

Answers

The answer is 812.94

Answer:

812.94

Step-by-step explanation:

make sure to line up the decimal to each other to make sure the decimal is in the right place

Please answer this!!! No links !!!

Answers

My work for your question

the probability of landing on blue when spinning a spinner is 4/5 choose the likelihood that best describes the probability of this even

Answers

Answer:

the answer is d. likely

Step-by-step explanation:

pretty sure your answer is d

Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay?

58 dollars (0.20) + 58 dollars
58 dollars (0.20)
58 dollars (20)
58(20) + 58

Answers

Answer:

The Answer is A

Step-by-step explanation:

58(0.2) = 11.6 + 58 = 69.6

it's a

now have a nice DaY

I need help and fast

Answers

B it is B not c or a it is b

What does it mean when we refer to Jesus as being a person who proved to be “Counter-Cultural?”

Answers

It means you are a certain kind of Buddha’s

Which of the following equations represents this statement

Answers

Answer: 5n = 35

Step-by-step explanation:

The product of a number n and the number 5 is 35. This statement can be formed into an equation as:

n × 5 = 35

5n = 35

The equation is 5n = 35

If we want to get the value of the number, it'll be:

5n = 35

n = 35/5

n = 7

The number is 7

PLEASE HELP ME!!!!!!!

Answers

Answer:

I think 26 for the quadrilateral on the 2nd page

Step-by-step explanation:

8 + 4 + 4+ 10

8 is on the top and 4 is on both sides just the right is angled differently and the bottom i think 10...IM SORRY IF YOU GET T WRONG I TRIED MY BEST!!!!!!

Help I'll give Brainly

Answers

Answer:i think D

Step-by-step explanation:

A rectangle has an area of 96 sq. ft. Find the width of the rectangle if the height is 8 feet?

Answers

96/8= 12 ft

Therefore the answer should be 12ft :)

Convert the units of capacity.
10 pt = ___ ___ qt

Answers

Answer:

6.00475

Step-by-step explanation:

Find equations of two lines that cross at the point (2,7) & explain how you got the answer

Answers

Is there like some kind of picture

need help ASAP, please

Answers

Answer:

1) D. 343.17

2) C but not sure

Step-by-step explanation:

1) area of triangle is 1/2* base* height= 1/2*18*24 = 216ft²

area of circle is πr²

area of semicircle is πr²/2

diameter=18

radius= 18/2=9

πr²/2 = (22/7* 9*9) / 2

=127.2 (approx)

total area = 127.2+ 216= 343.2

2) I dont know...I think C

The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared

Answers

Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

i need this done pls :)

Answers

Answer:

300....?

Step-by-step explanation:

What’s the answer ? Pleaseee help

Answers

Answer:blue

Step-by-step explanation:

the dark one

724 Ft

Surface Area = 2×(17×4 + 17×14 + 4×14) = 724 feet^2

What is -8w-4 simplified?

Answers

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] - 4(2w + 1)[/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex] - 8w - 4[/tex]

Bind the expression with the common factor -4

[tex] - 8w - 4[/tex]

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Answer: −4(2w+1)

Step-by-step explanation: Hope this help :D


Question 2
Use pythagroean theorem to find the value of the missing side. Leave answers in simplest radical form.

Answers

Answer:

C

Step-by-step explanation:

a^2 + 49 = 169

     -49          - 49

        a^2 = 120

√120 = 2√30

A set of cards is numbered 1,2,3,4,5,6,7,8,9,10,11,12. Suppose you pick a card at random without looking. Find the probability of each event. Write as a fraction in simplest form for each questions.

P(3) =

P(a number that starts with the letter T) =

P(odd number) =

P(multiple of 4) =

P(3 or 5) =

P(13) =

Answers

Answer:

3= 1/12

a number with the letter T= 1/3

odd number= 1/2

multiple of 4= 1/6

3 or 5= 1/6

13= 0

Answer:

p(3)=1/3

p(a number that starts with the letter T)=1/3

p(odd number)=1/2

p(multiple of 4)=1/4

p(3 or 5)=1/6

p(13)=0

Alice is a good gambler and always knows when to stop. Suppose in a game, in each round she has a winning probability of 0.8 and she will stop at the first loss. Try to find the upper bound on the probability that she can win at least 10 rounds using Markov's inequality.

Answers

Answer:

The answer is "0.500".

Step-by-step explanation:

The chance that round will be won, [tex]P (win) =0.8[/tex]

The likelihood of losing round by complementary law

[tex]P(loss) = 1 -P(win)\\\\[/tex]

            [tex]=1-0.8\\\\=0.2\\\\[/tex]

Let X be the number of rounds to the first loss played.

Here, [tex]X \sim Geometric (p=0.2)[/tex]

The PMF of X is the following:

[tex]P(X=x)=p(1-p)^x\\\\[/tex]

        [tex]=(0.2)(1-0.2)^x\\\\=(0.2)(0.8)^x, \ \ \ \ \ x=1,2,.....[/tex]

The mean of X is the geometric random variable property, [tex]E(X) =\frac{1}{P}= \frac{1}{0.2}=5\\\\[/tex]

Markov's Inequality:

Suppose X is any random variable that has no negatives. So,

[tex]P(X \geq s)\leq \frac{E(X)}{s} for s >0\\\\[/tex]

Find the upper bound of [tex]P (X \geq 10)[/tex]

[tex]P(X \geq 10) \leq \frac{E(X)}{10}[/tex]

                 [tex]=\frac{5}{10}\\\\=\frac{1}{2}\\\\=0.5\\\\[/tex]

 The highest probability is, therefore, that Markov's inequality will win at least ten rounds: 0.500

what is the hypothesis of a triangle with a base of 11cm and height of 9cm

Answers

Answer:

14.21 cm

Explanation:

you mean the hypotenuse* lol

the hypotenuse = √(11²+9²)

the hypotenuse = √(121+81)

the hypotenuse = √(202)

the hypotenuse ≈ 14.21 cm

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