The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?

Answers

Answer 1

Answer:

[tex]S_g= 33.333cm[/tex]

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

    [tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]

Mathematically solving for total distance traveled we have

    [tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]

    [tex]S_g=\frac{30}{0.9}[/tex]

Therefore the total distance traveled  by the pendulum after 5 swings

    [tex]S_g= 33.333cm[/tex]


Related Questions

M is the midpoint if AB . If coordinates of A are (-1,5) and the coordinates of M are (3,3) , what are the coordinates of B?

Answers

Answer:

The co-ordinates of B are ( 7,1)

Step-by-step explanation:

Step(i):-

Given that 'M' is the midpoint of AB

Given co-ordinate points are A(-1,5) and midpoint M(3,3)

we know that the midpoint formula

[tex]midpoint = (\frac{x_{1} +x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )[/tex]

[tex](3,3) = (\frac{-1+x_{2} }{2} ,\frac{5+y_{2} }{2} )[/tex]

Step(ii):-

Equating

        [tex]3 = \frac{-1+x_{2} }{2}[/tex]      and   [tex]\frac{5+y_{2} }{2} = 3[/tex]

cross multiplication, we get

     6 = -1 + x₂    and  6 = 5 +y₂

     x₂ = 6+1        and y₂ = 6-5

    x₂  = 7         and    y₂ = 1

Final answer:-

The co-ordinates of B are ( 7,1)

865.3 divided by 5 ...?

Answers

173.06 is your answer

Jif peanut butter costs $3.29 for 16 oz. Skippy peanut butter costs $7.69 for 40 oz. Which is the better buy?

Answers

40 oz is better cause 3.29 x 2 is 6.58 for 32 oz add 8oz or 1.50 add you get 8.08

what's $90.94 with 50% off..?

Answers

Answer:

Write 50% as a decimal number:  

 

STEP 2: Multiply  by 90.94:

Step-by-step explanation: answer is 49.47

Answer:

45.47$

Step-by-step explanation:

50% means to cut things off by half

Can someone please help me. It’s hard and I don’t understand.

Answers

9513 1404 393

Answer:

changes by 120 for each copyis 1800 if none are sold

Step-by-step explanation:

Let's look at the second question first.

x is the number of copies Chau sells. If he doesn't sell any copies, then x = 0. To find Chau's pay, we use x=0 in the equation, and solve for y.

  120×0 +1800 = y

  0 +1800 = y

  1800 = y

Chau's pay when he sells no copies is $1800.

__

If Chau sells 1 copy, then his pay is ...

  120×1 +1800 = y = 1920 . . . . . . . use the equation with x = 1

The increase in Chau's pay is 1920 -1800 = 120.

Chau's pay changes by $120 for each copy he sells.

Simon is creating the clay structure shown below. Simon has boxes of clay that each contain 200 of clay. How many boxes of clay does Simon need to open to make the sculpture? A. 3 B. 4 C. 5 D. 6

Answers

Answer:

D.6

Step-by-step explanation:

What’s the answer to this question ? 4.4y - 5x = -8

Answers

what do you want us to solve for? Step-by-step explanation:

Sheldon gets paid $4 per hour to babysit his cousin. This
weekend, he babysat on both Saturday and Sunday. He
made a total of $56. Sheldon babysat for 8 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.

Answers

Answer:

6

Step-by-step explanation:

4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.

Write an algebraic expression or equation to represent each word phrase.
Seventeen increased by twice a number, n

Answers

Answer:

2n + 17

Step-by-step explanation:

I need some answers for this

Answers

it’s a black screen there’s no context

Answer:

its a black screen and I can't answer it without nothing on their

A ladder is 61 inches tall. How tall is it in feet and inches

Answers

Answer:

5'1

Step-by-step explanation:

Every 12 inches is a foot. 12 x 5 is 60. Plus 1. Is 61.

That mean's it's 5 feet 1 inch.

Answer:

5 feet 1 inch

Step-by-step explanation:

because 12 inches is equal to 1 foot and 12 times 5 is 60 so that 5 feet plus one inch is 5 foot 1 inch

don’t mind my crusty computer

Answers

Answer:

Okay

Step-by-step explanation:

Answer:

R.I.P adrians hat

Step-by-step explanation:

1.3.4b - What is the area of the composite polygon below? Be sure to include
proper units.
20 ft
12 ft
7 ft
8 ft
8 ft
34 ft

Answers

Show a picture please it would really help.

Write the standard equation of the circle.

I’ll give brainliest!

Answers

The answer is 10 you’re welcome

im confused right now.

Answers

Answer:

x = -45

Step-by-step explanation:

Subtract 4(2x-7) from 5(3x-2)

Answers

Answer:

7x+18

Step-by-step explanation:

Multiplay the numbers by for and five and solve

Which of the following best describes the slope of the line below?

Answers

The slope has the run and raise of -2/-2 which it a negative slope

The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. What is [H+] if the pH=8.8?

Answers

Answer:

3.5

Step-by-step explanation:

The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. 1.58 x 10⁻⁹ is [H+] if the pH=8.8.

What do you mean by pH ?

The term pH is defined as the negative logarithm of the [H+] hydrogen ion.

The isolated hydrogen ion, represented by the symbol H+, hence it is used to represent a proton. Because the bare nucleus can readily combine with other particles like electrons, atoms, and molecules, the  hydrogen ion.

The formula for calculating [H+] hydrogen ion is as follows:

pH = - log[H+]

Given pH = 8.8

8.8 = - log[H+]

-8.8 =  log[H+]

Taking Antilogarithm Both side

Antilog of [-8.8] = [H ]

By solving above expression [H+]

= 1.58 x 10⁻⁹

Thus, 1.58 x 10⁻⁹ is [H+] if the pH=8.8.

To learn more about the pH, follow the link;

https://brainly.com/question/15289741

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A building has 15 floors of offices above
ground and 3 floors below ground. Lucy
parks on the 3rd floor below ground
and has an office on the 10th floor. The
ground floor is floor zero. How many
floors must she go up from her car to
her office?

Answers

Answer:

13 floors

Step-by-step explanation:

it says the ground floor is floor zero. she is 3 floors below the ground floor so you add 3+10 to get the amount of floors she has to go up to get to her office.

What is the center of the circle x² + y2 - 4 = 0?

Answers

Answer:

(0,0)

Desmos graphing calculator is a great way to enter the formula of a circle and see a visual example.

Answer: (0,0)

Explanation: The equation for a circle is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the vertex and r is the radius. Rearranging the given equation, we have that x^2 + y^2 = 4. Therefore, the center of the circle is (0,0), and its radius is 2.

If 9(x-9) = -11, then x= ?
A. - 92/9
B. -20/9
C. - 11/9
D. -2/9
E. 70/9

Answers

The answer is x= -11/9

c) Which of these numbers is a square number?

A) 4 x 10^5

B) 9 x 10^4

C) 4 x 10^3

D) 9 x 10^3

Answers

Answer:

A is the correct answer

Answer:

non of them

Step-by-step explanation:

Square number should have power of 1/2 .

i’ll give brainliest

Answers

Answer: The line is dotted and shaded above

select the correct solution for 6x = 30
(A) x = 24
(B) x = 1/5
(C) x = 5
(D) x = 36

Answers

Answer:

answer is (C) x = 5

I hope it helps you

:-))

There are two ways to solve this u can divide the 30 by 6 (30/6=5) or you can ask yourself what numbers times 6 is equal to 30? 6 time ? =30 which is also equal to 5.
So that would make (c) x=5 the correct answer

a carton of ice cream sold for $2.20 was on sale for 45% off. what was the original price of the ice cream?

Answers

Answer:

It was originally sold at roughly $4.887

Step-by-step explanation:

1)  2.20/.45 ≈ 4.8

2) 4.8 x .45 = 2.16

3) 4.88 x .45 = 2.196

4) 4.887 x .45 = 2.19915

The original price of the ice cream is $4.8

What is the discount price?

Discounting a product means offering it at a lower price than the list price.

Given that, a carton of ice cream sold for $2.20 was on sale for 45% off.

Let the original price of the carton be x.

x*45% = 2.20

x = 2.20*100/45

x = 4.8

Hence, the original price of the ice cream is $4.8

For more references on Discount price, click;

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answers for both boxes please ​

Answers

Answer:

x = -5  y = -3

Step-by-step explanation:

-3x + 2y = 9

multiply the 2nd equation by 3 to set it up for elimination

3(x - 3y)= 3(4)

3x-9y = 12

so now combine both to add

-3x + 2y = 9

3x - 9y = 12

Adding both gives you

-7y = 21

divide both by -7 and you get

y = -3

and you substitute y back into equation to get x

x - 3 (-3) = 4   gives you

x + 9 = 4

x = 4 - 9

x = -5

Hector took out a small loan of $900 for 18 months (remember to turn this into
years). The simple interest rate on the loan was 10.5%. How much will he pay in
interest on the loan?

Answers

Answer:

$141.75

Step-by-step explanation:

(900)(-105) (13/12) or 1.5

Solve the following compound inequality

Answers

Answer:

i believe your answer is correct

Step-by-step explanation:

6th grade math help me plzzzz

Answers

The answer is t = -0.9

i need help on the botto that says What is the cost of buying 10 tickets?

Answers

Answer:

305$

Step-by-step explanation:

305 because if it costs 61 dollars for 2 tickets and 61/2 30.5. 30.5*10=305

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