50 POINTS!
Only help if you know how to do the problem please.

50 POINTS! Only Help If You Know How To Do The Problem Please.

Answers

Answer 1

Answer:

The position equation will be:

[tex]y(t)=2sin(\frac{2\pi}{3} t)[/tex]

Step-by-step explanation:

The general position equation of mass attached to a spring is given by:

[tex]y(t)=Asin(\omega t-\phi)[/tex]

Where:

A is the amplitude of the sinusoidal motion ω is the angular frequency (ω=2πf)∅ is the phase (zero in our case)

We know that it takes 3 sec for the spring to complete one cycle. It means the period is T = 3 s.

Let's recall that T = 1/f where f is the frequency, so f = 1/3 Hz and hence ω=2π(1/3)=2π/3.

The amplitude is the distance from the origin to the crest. In our case, A = 4/2 in = 2 in, because the distance from the highest to the lowest is 4.

Therefore, the position equation will be:

[tex]y(t)=2sin(\frac{2\pi}{3} t)[/tex]

I hope it helps you!


Related Questions

Steven has $25 dollars. he spent $10.81 including tax to buy a new DVD he needs to set aside $10.00 to pay for his lunch next week. If peanuts cost $0.38 per package including tax, what is the maximum number of packages that Steven can buy?
Write an equation or inequality to model the situation

Answers

Answer:

x = number of packages of peanuts

25 ≥ 10.81 + 10.00 + 0.38x

x = 11.03  Steven can

• Solve: 7 – x > 5.4

Solution:

x < 1.6

Step-by-step explanation:

which of the following inequities are true?
Select the TWO correct answers.

A: |4| > 7
B: |-4| < 4
C: |-7| > |4|
D: |7| > |-7|
E: |-4| < |-7|

Answers

Answer:

c and e ................

Plz help me well mark brainliest if correct,.........??

Answers

Answer: A

Step-by-step explanation:

Because to find the area I multiplied and got 72 then I looked up how to find them perimeter

Answer:

both A and B

Step-by-step explanation:

a's perimeter is 36 (6+6+12+12)

b's perimeter is 36 (4+4+14+14)

c's perimeter is 34 (9+9+8+8)

all the options equal to 72 sq. centi. if u multi

6*12=72

4*14=72

9*8=72

An economist believes that interest rates for thirty-year fixed-rate mortgage loans are decreasing. To investigate this further, the economist would like to test the claim that the percent of thirty-year fixed-rate mortgage loans that have a 4.75 percent interest rate is less than 22%. They decide to complete a hypothesis test at a 1% significance level. They sample 40 thirty-year fixed-rate mortgage loans, and determine the sample percent to be 12.5%. The following is the data from this study:
Sample size = 40 thirty year fixed-rate mortgage loans
Sample proportion = 0.125
Identify the roll and alternative hypothesis for this study by nilling in the blanks with the correct (=, <, or > or to represent the correct hypothesis).

Answers

Answer:

The null hypothesis is [tex]H_0: p = 0.22[/tex]

The alternate hypothesis is [tex]H_1: p < 0.22[/tex]

Step-by-step explanation:

To investigate this further, the economist would like to test the claim that the percent of thirty-year fixed-rate mortgage loans that have a 4.75 percent interest rate is less than 22%.

At the null hypothesis, we test that the proportion is of 22%, that is:

[tex]H_0: p = 0.22[/tex]

At the alternate hypothesis, we test that the proportion is less than 22%, that is:

[tex]H_1: p < 0.22[/tex]

A coin is tossed 15 times. Find the probability of tossing seven or eight heads.

Answers

We will use Binomial Distribution in this case.

Since the coin is tossed 15 times. N which is the number of trails will be 15.

P = Probability of heads

Q = Probability of tails

X = No. heads occurring in each toss.

So, now we have to find the probability for exactly 10 heads.

P(x = 10) = C(15, 10) P^x Q^N-x

C(15, 10) (1/2)^10 (1/2)^5 = 0.0916
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Related Questions (More Answers Below)

Given lim f(x) = 4. What is lim
X-0
X-0
x5 [F(x)]* ?
оо
O 4
O 64
128

Answers

Answer:

64

Step-by-step explanation:

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

The solution is : 64 is limit.

What is limit?

In mathematics, a limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

here, we have,

Given lim f(x) = 4.

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

Hence, The solution is : 64 is limit.

To learn more on limit click:

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A regular polygon has 20 sides.
What is the size of each of its interior angles?
Give your answer in degrees ().

Answers

Answer:

Step-by-step explanation:

sum of exterior angles=360°

each exterior angle=360/20=18°

each interior angle=180-18=162°

Answer:

16.2°

Step-by-step explanation:

polygon has 20 sides

regular polygon

How to find the sum of all interior angles in a polygon?

=> (n-2) x 180

here n means number of sides

=> (20-2) x 180

=> 18 x 18

=> 324

there are as many interior angles in a polygon as many sides it has.

and the size of each angle is the same in a regular polygon.

so => 324/20 = 16.2°- Answer

Which of the following is the standard equation of a circle with center (-10,-8) and radius 3.2

Answers

Answer:

It should be one of these:

(x + 10)² + (y + 8)² = 3.2²

(x + 10)² + (y + 8)² = 10.24

Step-by-step explanation:

You didn't list the choices, but this is the standard equation

(x + 10)² + (y + 8)² = 3.2²

the 3.2² term may be presented as 10.24

A line is parallel to y = 4x + 1 and
intersects the point (-2,-5). What is the
equation of this parallel line?
y = [?]x + [ ]

Answers

Answer:

-2,-5 is the value. The correct Answer

Find the distance from A(-8,-3,-2) and B(-4,8,0) , find ||AB||

Answers

Answer:

[tex]||AB|| = 11.8743[/tex]

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]

Distance from A(-8,-3,-2) and B(-4,8,0)

[tex]||AB|| = \sqrt{(-4-(-8))^2+(8-(-3))^2+(0-(-2))^2}[/tex]

[tex]||AB|| = \sqrt{4^2 + 11^2 + 2^2}[/tex]

[tex]||AB|| = 11.8743[/tex]

Select the correct answer,
Which risk should be avoided for short-term investments?
OA
market risk
OB. liquidity risk
Ос.
credit risk
OD.
business risk

Answers

Answer:

b

Step-by-step explanation:

liquidity risk. because the shorter the term the lesser the liquidity.

If a is an odd number, then 2a is an even number,

Answers

Answer:

That would be correct!

Step-by-step explanation:

Hope this help :3

Answer:

yes

STEP-BY-STEP-EXPLANATION:

Set up an equation and solve for the unknown number.
“The sum of 4 and a number is equal to twice that same number”

Answers

Let x be the unknown number.

4+x=2x
4=2x-x
x=4

Is 2.32332333... a rational or irrational number?
Choose the correct answer below.
1. Rational number
2. Irrational number

Answers

it would be a rational number

A film on TV starts at 8:30 pm. If the film takes 136 minutes, at
what time does it end?

Answers

Answer:

10:46

Step-by-step explanation:

8:30 + 136 min.

= 8:30 + 2:16

= 10:46

Three-fourths of the work related to $13,000 of cash received in advance was performed this period

Answers

Hopes this helps:

Answer:

Debit: unearned


Revenue: ($9,750)


Credit: revenue ($9,750)


Please mark as brainlist if it is right.


Cher works in retail sales. Her salary is $400 plus 15% commission on weekly
sales.
Find her sales for the week if her wages for the week is $940.

Answers

Answer:

Sales of the week = 3600

Step-by-step explanation:

Given - Cher works in retail sales. Her salary is $400 plus 15% commission on weekly  sales.

To find - Find her sales for the week if her wages for the week is $940.

Solution -

Let us assume that,

Her sales of the week = x

Now,

Given that, Her salary is $400 plus 15% commission on weekly  sales.

So,

Equation of salary becomes

Salary = 400 + [tex]\frac{15}{100}x[/tex]

i.e.

Salary = 400 + 0.15x          .......(1)

Now,

Given that,

her wages for the week is $940.

i.e. Salary = $940

Put in equation (1), we get

940 = 400 + 0.15x

⇒0.15x = 940 - 400

⇒0.15x = 540

⇒x = 3600

∴ we get

Sales of the week = x = 3600


11. You conduct a random
sample of 250 of UCLA's entering freshmen and get an average GPA of
a. Find a 95% confidence interval for the average GPA of all of UCLA's entering freshmen.
b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval
support this claim? Explain your reasoning

Answers

Answer:

a) The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).

b) 4.05 is not part of the confidence interval, which means that it does not support this claim.

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{0.75}{\sqrt{250}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.21 - 0.1 = 4.11

The upper end of the interval is the sample mean added to M. So it is 4.21 + 0.1 = 4.31

The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).

b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval support this claim?

4.05 is not part of the confidence interval, which means that it does not support this claim.

Using the Fundamental Theorem of Algebra. Complete the following exercises. Show your work.
Determine how many, what type, and find the roots for f(x) = x^4 + 21x^2 − 100.


Determine how many, what type, and find the roots for f(x) = x^3 − 5x^2 − 25x + 125.

Answers

Answer:

A) - Quartic polynomial

- has four roots

- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) - Cubic polynomial

- has 3 roots

- roots are; f(x) = (x - 5)²(x + 5)

Step-by-step explanation:

A) f(x) = x⁴ + 21x² − 100

The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.

Factorizing this polynomial gives;

f(x) = (x² + 25)(x² - 4)

Equating to zero, we can find the roots. Thus, the roots are;

x = 5i

x = -5i

x = 2

x = -2

Thus, the completely factorized polynomial is;

f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) f(x) = x³ − 5x² − 25x + 125

The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.

Factorizing this polynomial gives;

f(x) = (x² - 25)(x - 5)

Equating to zero and Factorizing gives;

x = 5

x = -5

x = 5

Thus, completely factorized with the roots is;

f(x) = (x - 5)²(x + 5)

What is the length of AC?

Answers

The length of AC 90°

I'm a bit confused about this, can anyone help? Giving 69 points to whoever answers by 12:30 PM (PST)!!

Find the area of the polygon:

Answers

Answer: i can give you tips of how to find the area of a polygon.

OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.

Step-by-step explanation:

And you have to add all the sides of the lengths of the sum of the polygon

P and q are points on the line 2y-5x=10

Answers

Answer:

[tex]2y-5x =10\\when \ x = 0, \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \ coordinates \ of \ the \ points \ p \ and \ q\ are \ (0, 2) \ and \ (-2, 0)[/tex]

PLEASE HELP MAX POINTS ONE OF THE LAST ASSIGNMENTS IN THE SEMESTER, I HAVE 4 HOURS TO FINISH MY HOMEWORK
can complementary angles be supplementary?

be sure to include a drawing of proof, look at screenshot for more details

Answers

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary

What is the place value of the digit 7 in 74, 310, 892?

The solution is _____

Answers

The place value of the digit 7 in 74, 310, 892 is ten million.

A​ "Cobb-Douglas" production function relates production ​(Q​) to factors of​ production, capital ​(K​), labor ​(L​), raw materials ​(M​), and an error term u using the equation ​,
Q= λK^β1L^β2M^βe^μ

where ​λ,β1,β2 ​and β2 and are production parameters. Suppose that you have data on production and the factors of production from a random sample of firms with the same​ Cobb-Douglas production function. Which of the following regression functions provides the most useful transformation to estimate the​ model?

a. A linear regression function.
b. A logarithmic regression function.
c. An exponential regression function.
d. A quadratic regression function.

Answers

Answer:

The correct option is b. A logarithmic regression function.

Step-by-step explanation:

Given:

Q= λK^β1L^β2M^β3e^μ ………………………. (1)

Equation (1) can be transformed into a logarithmic regression function by taking natural log of both sides as follows:

lnQi = lnλ + β1lnKi + β2lnLi + β3lnMi + μInei ……………….. (2)

Where i = 0, 1, 2….n observations.

Let lnλ = β0 and let μIne = εi and then substituting them into equation (2), we have:

lnQi = β0 + β1lnKi + β2lnLi + β3lnMi + εi ......................(3)

Equation (3) is the logarithmic regression function to estimate the model.

Therefore, the correct option is b. A logarithmic regression function.

A political poll finds that 305 out of 600 (50.8%) of a random sample of likely voters are in favor of the Democrat over the Republican prior to a recent local election between the two candidates. The p-value from a two-sided test of whether the population proportion is different than 50% is 0.714.

1. Which of the following could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate?

a. (46.8%, 54.8%)
b. (50.1%, 58.0%)
c. (53.0%, 61.0%)

2. When should you use the median as a summary statistic instead of the mean?

Answers

Answer:

1)

Option A.(46.8%, 54.8%) is the correct Answer.

Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ),  (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.

2)

When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.

Step-by-step explanation:

Given the data in the question;

Null hypothesis             H₀ : p = 50% or 0.5

Alternative hypothesis Hₐ : p ≠ 50% or 0.5

given that p-value = 0.714

The p-value is large, so we can not reject Null hypothesis.

Thus, p = 50% or 0.5

Meaning that, the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 )

Thus, Option A.(46.8%, 54.8%) is the correct Answer.

Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ),  (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.

2)  

When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.

For the parallelogram if m<2=4x=3x-15, find m<3. The diagram is not to scale.

Answers

Answer:

159

Step-by-step explanation:

Diagonal angles of a parallelogram are equal.

Therefore, 3x-15 = 4x-27.

3x - 15 = 4x - 27

4x = 3x + 12

x = 12

Angle 4 = 21 degrees, because 36 - 15 = 21.

All angles in a parallelogram add up to 360 degrees.

360 - 42 = 318

318 / 2 = 159

The angle measure is 159 degrees.

Which one doesn't belong? Why?

I
PLEASE SOMEONE HELPP

Answers

I think the yellow square

Answer:

it is the yellow square. hope this helps

Step-by-step explanation:

please mark me brainliest i only need 1 more to level up :)

evan is sending a package of some of his produce to his friend in California. The package measures 12 by 9 by 6 inches. He wraps it in brown paper, addresses it, and takes it to the post office to mail. How much brown paper will he need to wrap the box ____in2

Answers

Answer:

[tex]468in^{2}[/tex]

Step-by-step explanation:

L=12

W=9

H=6

2lw+2lh+2wh=468

Many think ts, "oh LWH" well actually lwh is volume

The brown paper required to wrap the package is 468 square inches.

What is a cuboid?

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

The diagram shows the package that is cuboid in shape.

The dimensions of cuboid are

The length of the cuboid = 12 in

The wide of the cuboid = 9 in

The height of the cuboid = 6 in

The package is wrapped using the brown paper. The brown paper needed can be calculated by using the surface area formula,

[tex]A=2(lw+hl+hw)[/tex]

⇒ [tex]A=2[(12)(9)+(6)(12)+(6)(9)][/tex]

⇒ [tex]A=2[108+72+54][/tex]

⇒ [tex]A=2[234][/tex]

⇒ [tex]A=468[/tex]

Hence we can conclude that the brown paper required to wrap the package is 468 square inches.

Learn more about cuboid here

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4
3
3
2+
-4
-3
-2 -1
1
1
2
3
4
-1+
-2+
-3
-4
What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

rises 2 units and east 3 units

rise / run = 2 / 3

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Pls show work and answer the question Which one A , B , C , D What are the most important things to think about when choosing a career? ProblemFind the solution set of the inequality\qquad12-6x > 24.126x>24. Question 11:A diesel train traveled to Johannesburg and back. The trip there took 6 hours andthe trip back took 9 hours. It averaged 23 miles per hour faster on the trip therethan on the return trip. Find the diesel train's average speed on the outbound (firstpart traveling to Johannesburg) trip. Which of the following is true about populations of the same species living in differentplaces? to copy and paste the image in MS Word the dash option is used Romeo and Juliet true or false Which of the following crimes are conventional criminals more likely tocommit?A. auto theftB. check forgeryC. shopliftingD. larceny-theft Does anyone know these four?! I really need help and fast pls Consider the arithmetic sequence:3,5,7,9,..,If n is an integer, which of these functions generate the sequence?Choose all answers that apply:a(n)=3+2n for n0b(n)=3n for n1c(n)=-1+2n for n2d(n)=-6+3n for n3 18.19. The child seldom(ery)04.) Select the correct passive answer.(1.) Darani is milking the cow. The cow is been milked by Darani.The cow is being milked by DaraniThe cow isn't being milked by Darani The cow was being milked by Darani.(2.) I studied for my examdied for home What is the area of the parallelogram shown below in square units? 9 units 20 units Ashley and her 2 sisters are planning to buy a treadmill online. The total cost of the treadmill is $400. In addition, there is a shipping and handling fee that is 5% of the cost of the treadmill. Finally, there is a 7% sales tax added to the cost of the purchase (treadmill cost + shipping and handling). If they decide to split the bill evenly, then how much will each sister have to pay? What are the 2 Disney parks with the Cinderella castle? Simplify the expression below.(x^-4)^-6A. x^-24B. x^-10C. x^10D. x^24 What depicted in the image above?20pts the sum of 2 numbers is 90 and one of them is 2 times the otherwhat are the 2 numbers? Someone help me with this Read the stanza from Byron's Childe Harold's Pilgrimage.But soon he knew himself the most unfitOf men to herd with man; with whom he heldLittle in common; untaught to submitHis thoughts to others, though his soul was quelledIn youth by his own thoughts; still uncompelled,He would not yield dominion of his mindTo spirits against whom his own rebelled;Proud though in desolation; which could findA life within itself, to breathe without mankind.Which traits of the Byronic Hero are most evident in this stanza? Select all that apply.pridemelancholyIsolationcynicismdefiance