The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance. 0.625 seconds 0.8 seconds 1.25 seconds 1.6 seconds

Answers

Answer 1

The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

What is time period of pendulum?

Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.

The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.

The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,

[tex]d = 11 \cos\left( \dfrac{8\pi}{5}t\right)[/tex]

At the maximum position, the time period is zero. Thus,

[tex]\dfrac{8\pi}{5}t=0\\t=0[/tex]

At the minimum position, the period equal to the π. Thus,

[tex]\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625[/tex]

This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,

[tex]t=0.625+0.625\\t=1.25\rm\; s[/tex]

Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

Learn more about the time period of pendulum here;

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Answer 2

Answer:

C:1.25

Step-by-step explanation:


Related Questions

Which of the following isatangent

Answers

Answer:

can you re word this i dont understand

I need help with this question is six grade

Answers

Answer:

108

Step-by-step explanation:

I just divided! Hope this helps

In a answered math the problem [tex]\sqrt{-2}[/tex] plus [tex]\sqrt{-18}[/tex] was [tex]4\sqrt{2i}[/tex] as it was rewritten as [tex]\sqrt{2i} + \sqrt{18i}[/tex]. Why can [tex]\sqrt{-2}[/tex] be written as[tex]\sqrt{2i}[/tex]

Answers

Ok so basically this is this and that is that !

[tex]\text{The imaginary unit,}~ i = \sqrt{-1}\\\\\sqrt{-2} ~ \text{can be written as.}\\\\\sqrt{-2}\\\\=\sqrt{-1 \cdot 2}\\\\=\sqrt{-1} \sqrt{2}\\\\=i\sqrt 2\\\\=\sqrt 2 i[/tex]


A pair of shoes usually sells for $63. If the shoes are 40% off, and a sales tax of 7% is applied to
the discounted cost, what is the total price of the shoes, including tax? Round your answer to
the nearest penny
A.$37.08
B.$40.45
C.$40.82
D.$42.2

Answers

Answer: 40.45 or B

Step-by-step explanation:

63 x 0.6(100%-40%) = 37.8

37.8 x 1.07 = 40.446

40.446 rounded is

40.45

Will mark brainly!!! Please help me with this. Thank you! :)

Can you please explain how you get the answer. I really appreciate it!!!

Answers

the answer to what? i dont see an equation or anything):

A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling. The store offers a 30% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of three bottles of detergent. (10 points)

Answers

Using proportions, it is found that the total cost of three bottles of detergent is of $11.55.

What is a proportion?

A proportion is a fraction of a total amount.

A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling, hence the price of each bottle is given by:

P = 4.40 x 1.25 = $5.50.

The store offers a 30% discount with the purchase of three or more bottles of the detergent, hence the total cost is given by:

T = (3 x 5.50) x 0.7 = $11.55.

More can be learned about proportions at https://brainly.com/question/24372153

Solve for x show work
3(2x-5)=4x+33

Answers

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex] \large \purple { \rm{Let's \: solve→}} \\ [/tex]

[tex] \rm{3(2x-5)=4x+33} \\ \\ \rm {solving \: bracket} \\ \\ \rm{6x - 15= 4x + 33} \\ \\ \rm{arranging \: terms} \\ \\ \rm{6x - 4x = 33 + 15} \\ \\ \rm{2x = 48} \\ \\ \rm{x = \frac{48}{2} } \\ \\ \rm{x = \cancel \frac{48}{2} } \\ \\ \rm{x = 24}[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

[tex]\fbox{X = 24}[/tex]

Solution:

Given expression ➟ 3(2x-5) = 4x + 33,

using distributive property open the above bracket,

➳ 3×2x - 3×5 = 4x + 33

Using BODMAS solve the L.H.S,

➳ 6x - 15 = 4x + 33

now arrange the like terms aside,

➳ 6x - 4x = 33 + 15

➳ 2x = 48

➳ x = 48/2

➳ x = 24

the given expression is true for x = 24

Thanks for joining brainly community!

The graph shows a proportional relationship between pounds of aluminum and money earned from recycling.

The table below shows the amount of money that is earned from recycling copper.

Chose a Answer
You earn the same per pound for aluminum and copper


You earn more per pound recycling aluminum than copper.


You earn more per pound recycling copper than aluminum.


Not enough information to draw conclusions.

Answers

Answer: You earn more per pound recycling copper than aluminum.

Step-by-step explanation:

I have a proof and I need help!

Answers

Answer:

Step-by-step explanation:

which situation could the expression 1/4 divided by 3 represent

Answers

Story ProblemLily had 3 dollars. Lily decides to buy a can of soda for one quarter of 3 dollars.

But the question is, how much did she spend?

Step-by-step explanation:

To solve this problem, we must first find the value of one quarter, which in decimal, is 0.25Next, find how many quarters are in 3 that can make one quarter.For this situation, all you must do is multiply 3 by 0.25, and you get 0.75, which is 3/4. The equation looks like the one below.

[tex]3 * 0.25(1/4) = 0.75(3/4)[/tex]

With that information, the problem is solved. In this story problem, Lily must pay 0.75 cents for that can of soda.

________________________________________________________

Questions?

Ask me in the comments box.

Ali had 2600 pens, he gave away 1547 pens, how many pens does he have left now?

Answers

given:

2600 pens.

to find:

the remaining pens Ali have after giving 1547 away.

solution:

2600 - 1547

= 1053

so, Ali has 1053 pens with him.

given:

Ali has 2600 pens.

to find:

the amount of pens Ali has left after he gave away 1547 pens.

solution:

subtract 2600 from 1547.

[tex]2600 - 1547[/tex]

[tex] = 1053 \: pens[/tex]

hence, Ali has 1053 pens left with him after giving 1547 pens away.

What is the distance between the points (-1, 8) and (4.8) in the coordinate plane?

Answers

To find the distance between any points:

 ⇒ we must know the distance formula

     ⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]

[tex](x_{1} ,y_{1} )[/tex] --> (-1,8)[tex](x_{2} ,y_{2} )[/tex] --> (4,8)

Let's Solve:

    Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5

Thus the distance between the points is 5

Hope that helps!

pls help on math pla​

Answers

Answer:

Slope: -1/2
y-intercept: 7

Step-by-step explanation:

The slope is the interger/number in front of x in a linear equation.

y-intercept is the constant after the slope, 7, which is the value of y when x is 0.

Answer:

equation: y=mx+b

b=y intercept

the y intercept is 7

the slope is -1/2

Rectangle abcd is similar to rectangle pqrs given that ab =14cm bc =8cm and pq=12cm calculate the length of qr

Answers

Answer: 6.8571 (Round as needed)

Hope this is correct

Step-by-step explanation:

This is a simple ratio problem

Using the similarity statement we can say 14:12, (ab:pq)

That is our ratio.

So we do 14/12 = 8/x, we solve this using algebra to get our answer.

Hope this is correct.

-5x-15+25x-30


Help me please

Answers

Answer:

[tex]\boxed{\sf{20x-45}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is isolate the x from one side of the equation.

-5x-15+25x-30

First, you have to combine like terms.

→ -5x+25x-15-30

Then, you subtract the numbers from left to right.

→ -15-30=-45

Rewrite the problem down.

→ -5x+25x-45

By similar, add to elements.

→ -5x+25x=20x

Rewrite the problem down.

⇒ 20x-45

Therefore, the correct answer is 20x-45.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

20x - 45

Step-by-step explanation:

Start by grouping like terms ( -5x and 25x) , ( -15 and -30):

= -5x + 25x - 15 - 30

Subtract the numbers: -15 -30 = -45

= -5x + 25x - 45

Combine like terms ( 5x and 25x):

= 20x - 45

The table represents the metric volume measure of a liter. Each amount is represented by its power of 10.

A 2-column table with 5 rows. Column 1 is labeled Unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. Column 2 is labeled Power of 10 with entries 10 Superscript negative 2, 10 Superscript 0, 10 squared, 10 cubed, 10 Superscript 6.

Complete the work to determine how many times larger a megaliter is than a hectoliter.

1. Divide powers:
106
102
2. Expand each power:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
3. Divide common factors:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
4. Simplify.
A megaliter is
times larger than a hectoliter.

Answers

The megaliter is 10,000 times larger than a hectoliter

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

1 mega liter = 10⁶ Liter

1 hectoliter = 10² Liter.

Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter

Find out more on equation at: https://brainly.com/question/2972832

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

Got it right on the assignment.

divide 100 in the ratio 2:3.​

Answers

100/2+3 = 20
2*20= 40
3*20 = 60

which statement uses words to represent 5+8×3-2

Answers

Answer:

A

Step-by-step explanation:

You should always multiply before adding or subtracting. By saying "a product of 8 and 3," it means we multiplied them together first.

You should then add and subtract in the order in which they appear. Saying "five more" before "minus 2" means we did it in the right order.

find the slope of the line that passes through the points given in the table

Answers

Answer:

17. -2.5

18. 3

19. 0

20. -1

21. 2.33

22. undefined

The Slope of line:

1. -5/2

2. 3

3. 0

4. -1

5. 7/3

6. ∞

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

1. Slope of line

= (1-11)/ (-2 +6)

= -10 / 4

= -5/2

2. Slope of line

= (-2+ 5)/ (-3+ 4)

= 3 / 1

= 3

3. slope of line

= (6-6)/ (3+1)

= 0

4. Slope of line

= (7-8)/ (2-1)

= -1

5. Slope of line

= (-1+8)/ (0+3)

= 7/3

6. Slope of line

= (3-5)/ (-2+ 2)

= ∞

Learn more about Slope here:

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There are 15 students on the debate team. Four will attend the debate. How many groups of four can be selected from the 15 students?​

Answers

Answer: 1365

Step-by-step explanation:

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x = 0.8

Step-by-step explanation:

For this problem we will be using trigonometry :

i need help with this quick pls​

Answers

Answer:

[tex]\left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]

Step-by-step explanation:

[tex]x=\left[\begin{array}{ccc}8&4\\-2&3\end{array}\right][/tex]

[tex]y=\left[\begin{array}{ccc}5&-2\\2&8\end{array}\right][/tex]

To multiply an array by a constant, all you need to do is take every element in the array and multiply it by the constant, addition is similar in that you just go to each corresponding element in the arrays and add the two corresponding elements together.

[tex]2*\left[\begin{array}{cc}8&4\\-2&3\end{array}\right]+\left[\begin{array}{cc}5&-2\\2&8\end{array}\right] = \left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]

Pat was in fishing competition at lake Pisces

Answers

Answer:

Hello! Your Question seems to be Incomplete but if you didn't mean to make it that way. I will be Happy to answer it If you repost It. Thanks !

Step-by-step explanation:

Have a good day!

What is the value of the expression? Show your work.

Answers

69420 would be the answer of this due to the sirvalsbejejeb big ol 69420

Answer:

343

Step-by-step explanation:

Given :

[tex]\frac{7^{12}*7^{9} }{(7^{6})^{3} }[/tex]

Numerator

7¹² × 7⁹7²¹

Denominator

(7⁶)³7¹⁸

Fraction

Numerator/Denominator7²¹/7¹⁸7³343

Which of the following numbers CANNOT represent the probability of an event?

A. -0.5
B. 1
C. 0
D. 0.675

Answers

Answer : -0.5
Explanation: because it’s a negative number and is less than 0 is it cannot represent a probability of an event.

The number that can not represent the probability of an event is -0.5.

Option A is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability of an event always lies between 0 and 1 (inclusive), where 0 represents an impossible event and 1 represents a certain event.

Therefore, any number outside this range cannot represent the probability of an event.

Probabilities are always non-negative values between 0 and 1 (inclusive). The value 0 represents an impossible event, meaning that the event cannot occur.

The value 1 represents a certain event, meaning that the event will definitely occur. Any value between 0 and 1 represents the likelihood that the event will occur, where a value closer to 0 represents a low probability and a value closer to 1 represents a high probability.

Negative numbers cannot represent probabilities since probabilities are always non-negative values between 0 and 1.

Thus,

The number that can not represent the probability of an event is -0.5.

Learn more about probability here:

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giving point and brainliest​

Answers

Answer:

18

Step-by-step explanation:

Given expression:

[tex]2 \times (6 \div 2 + 8) - 4[/tex]

Step-1: Simplify the expression in the parenthesis using PEMDAS

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times (6 \div 2 + 8) - 4[/tex]                                  

 [tex]\implies 2 \times (3 + 8) - 4[/tex]                                  D - Division

 [tex]\implies 2 \times (11) - 4[/tex]                                      A - Addition

 [tex]\implies2 \times 11 - 4[/tex]

Step-2: Simplify the expression obtained from step-1

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times 11 - 4[/tex]

 [tex]\implies 22 - 4[/tex]                                          M - Multiplication

 [tex]\implies 18[/tex]                                                  S - Subtraction

PLS HELP ME ASAP I WILL MARK THE BRAINLIEST

Answers

Answer:

Unfortunately I was only able to solve the second question

Step-by-step explanation:

So sorry if I'm wrong but this is what I got:

Volume of a cylinder

V=πr^2h

V=π(4^2)(19)

V=955.04

Lateral S.A.

S.A.=2πrh

S.A.=2π(4)(19)

S.A.=477.52

Total S.A.

S.A.=2πrh+2πr^2

S.A.=2π(4)(19)+2π(4^2)

S.A.=578.05

Jerome's favorite Harry Potter book has 222222 chapters, 500500500 pages, and approximately 100{,}000100,000100, comma, 000 words. He's curious how many of the words are "made up" words or names that don't exist in the dictionary.

He wants to take a systematic random sample of about 500500500 words to estimate what percent of the words in the book are made up.

Which of these strategies will accomplish his intended design?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Randomly select one of the first 202020 words and every 20^\text{th}20

th

20, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.


(Choice B)

B

Randomly select one of the first 200200200 words and every 200^\text{th}200

th

200, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.


(Choice C)

C

Randomly select 232323 words from each chapter.


(Choice D)

D

Randomly select 111 word from each page.


(Choice E)

E

Assign every word a number and use a computer to randomly select 500500500 numbers with no repeats

Answers

Using sampling concepts, it is found that a systematic sampling of 500 words would be achieved as follows:

B. Randomly select one of the first 200 words and then every 200th word thereafter for the sample.

How are samples classified?

Samples may be classified as:

Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

In this problem, he wants a systematic sampling, hence he should choose every kth word, which means that the answer is between options a and b.

He will choose 500 words out of 100,000, hence the value of k is given by:

k = 100000/500 = 200.

Which means that option B is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

B

Step-by-step explanation:

khan

What is the length of BD?
A. 5 units
B. 10 units
C. 20 units
D. There is not enough information to determine the length of BD​

Answers

Answer:

what is the length of bd?

my answer is:

Letter B.10 units in my opinion

i hope it helps

which ordered pair represents
(fg)(3) on the graph of the combined function?

A. (9,-3)

B. (3,25)

C. (3,5)

D. (9,25)

Answers

b bc b is just the answer
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