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

Select the equation that represents the graph above.


y=x√−2y is equal to square root of x minus 2 , ,


y=x√+2y is equal to square root of x plus 2 , ,


y=x+2y is equal to x plus 2 , ,


y=x+2−−−−−√

Answers

Answer:

                                                          _

just did the test and got it right its /x + 2

Step-by-step explanation:

just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option

Identify the slope and y-intercept. If the equation is in standard form, you may need to switch it to slope-intercept form. Sketch the graph of each line.
5x + 4y = 4

Answers

Answer:

Slope= -5/4

Y-intercept= 1

Step-by-step explanation:

First put into slope-intercept form, which would get y= -5/4x+1.

Then identify what's what, with the formula y=mx+b, where m is the slope and b is the y intercept. Using that you can see that -5/4 is the slope and 1 is the y.

Could someone pls help me and explain this if you know it!!

Answers

Answer:

25% on question one

Step-by-step explanation:

For example, on question one, 5 students drink more than half a dozen sodas a week. If there is a total of 20 students you'd divide 5 by 20 and that should be the answer.

Find an ordered pair (x,y) that is a solution to the equation.
6x-y=1

Answers

Answer:
(1, 3 )
Step-by-step explanation:
To find a solution to the equation.
Rearrange making y the subject by subtracting 6x from both sides
Given
6x + y = 9, then
y = 9 - 6x
Substitute any value of x into the equation and solve for y to obtain a solution
x = 1 → y = 9 - 6(1) = 9 - 6 = 3
Thus (1, 3) is a solution to the equation

ordered pair (1, 5) is a solution to the equation 6x-y=1

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 6x-y=1

We need to find an  ordered pair (x, y) that is a solution to the equation.

any values of x and y when we substitute in the given equation should give the result 1.

Those values are the solutions of equation

Let x=1 and y=5

6(1)-5=1

1=1

Hence, ordered pair (1, 5) is a solution to the equation 6x-y=1

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

A family of 2 adults and 3 children went to a movie. The tickets cost $8 for adults and $5 for children. They also bought 3 sodas for 1.99 and a large bucket of popcorn for 5.99. How much money did the family spend on their outing to the movies total.

Total for all the movie tickets:

Total for the sodas:

Total spent on the evening:

Answers

Answer:

Total for all the movie tickets:$31

Total for the sodas:$5.97

Total spent on the evening:$42.96

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

1 and 2 are rectagles and 3 is not

Step-by-step explanation:

Yesterday, there were 40 problems assigned for math homework. Gavin got 28 out of 40 problems correct. What percentage did Gavin get correct?

Write your answer using a percent sign (%).

Answers

He has 70% of his questions correct.

This is why because 28/40 simplified is 7/10 and I know this is by dividing each number by 4. Also 7/10 and 0.7= 70%

Answer:

70%

Step-by-step explanation:

I'm pretty sure its 70 because write it as a fraction 28/40 when divide them both and you get 0.7 which is 70. I hope that works

1. If you randomly select a piece of fruit from this jar, what is the P(orange)? Write answer as a simplified fraction.
2 oranges and 6 apples are in the jar​

Answers

2/8 = 1/4

1/4 is the simplest form of the fraction.

There are 2 oranges out of 8 fruits

Which graph represents this system of inequalities?
y> x+3
Y> 5x-1 pls need help

Answers

Answer:

5x

Step-by-step explanation:

It’s 5x

Hi,

the correct answer is A.

I added a screenshot of the correct one.

XD

Find the length and width of a rectangle.
Perimeter = 50
Side A = 3x + 2
Side B = x - 5

Answers

Step-by-step explanation:

Perimeter = 2 * (Side A + Side B)

= 2 * (3x + 2 + x - 5)

= 2 * (4x - 3)

= 8x - 6.

We have 8x - 6 = 50, so 8x = 56 and x = 7.

Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

Answer:

Length of rectangle = 3(7) + 2 = 23.

Width of rectangle = (7) - 5 = 2.

Step-by-step explanation:

What is the surface area of a reactangular prism with the width of 5 length of 3 height of 4

Answers

Answer:

Right rectangular prism

Solve for surface area

A=94

l Length  3

w Width  5

h Height  4

Step-by-step explanation:

''.''

what is the the constant of proportionality
X: 0 2 4 6
Y: 0 3 6 9

Answers

X: 2
Y: 3

Why:
2x3=9
3x3=9
So the constant of proportionality it’s 2 and 3

10-2+3x19-8= first to answer will get brainlyest

Answers

57 because of pemdas....
57!!!!!!!!!!!!!!!!!!!

Excuse me but can someone help me with this I have to do it before tomorrow

Answers

Answer:

8)  Onaje is correct

9a) answers could be:  3(6y) or 4y + 6y + 8y  or 2(2y + 3y + 4y)

 b) all answers simplify to be 18y

Step-by-step explanation:

Paula is not correct because 16t + 9t ≠ 16 + 9 + 2t

16t + 9t only equals 25t

Answer:

8. Onaje's expression is correct.

Step-by-step explanation:

The price, t, of the medium T-shirts can be represented as 16t, or 16 × t.

The price, t, of the large T-shirts can be represented as 9t, or 9 × t.

16t + 9t = (16 + 9) × t = 25t

Answer:

9. Part a: The expression could be 9y - 3y + 12y.

9. Part b: 9y - 3y = 6y

               6y + 12y = 18y

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)

8,-1,-5,2? Which one!.............

Answers

Answer: I would say -8,-1

Step-by-step explanation:

163-x=-52 equals what as the answer

Answers

Answer:

215=x

Step-by-step explanation:

Answer

x=215

Step-by-step explanation:

Which letter is in the solution set for graph #2

Answers

Answer:

A

Step-by-step explanation:

y > 0 - the region above the line together with that line

y ≥ 0 - the region above the line together with that line

y < 0 - the region below the line without that line

y ≤ 0 - the region below the line together with that line

We have:

y > 2 - the region above the line together with that line

y ≥ 2x - 3 - the region above the line together with that line

look at the picture

The common part is the solution.

If LN = 12x + 16, what is the length of Line segment L N in units?

Answers

Answer:

Step-by-step explanation:

16 units 40 units 48 units 64 units.

Answer:

64 units

Step-by-step explanation:

Given M lies on LN, so LN = LM + MN --------------(1)

LN = 12x + 16

LM = 10x + 8

MN = 5x - 4

Substituting the values in equation 1, we get:

12x + 16 = (10x + 8) + (5x - 4)

12x + 16 = 15x + 4

15x - 12x = 16 -4

3x=12

Therefore x=4

LN= 12(4) + 16 = 64 units

Need help asap!


what is the value of x and y?
2x+3=y​

Answers

Answer: `y`-value is double the `x`-value plus `3` will make the hanger balance.

So x can be 3 and y can be 9

Find the volume of the cube in inches3 below. Then select the correct units
when entering your answer.
7 in.
7 in.
7 in
Answer here
cu. cm
cu, in
sq. in

Answers

Answer:

21 cubic inches (or cu. in)

Step-by-step explanation: Multiply 7 by three

Anyone know ????? thank you

Answers

Answer:

2/3

Step-by-step explanation:

6's + 2) = 18

S+2=
S=

Answers

Answer:

s+2=3

s=1

Step-by-step explanation:

make it braintliest please

Priya is buying raisins and almonds to make trial mix. Almonds cost $5.20 per pound and raisins cost $2.75 per pound. Priya spent $11.70 buying almonds and raisins. The relationship between pounds of almonds,a,pounds of rasins,r,and the total coast is represented by the equation 5.20a+2.75r=11.70 How many pounds of rasins did Priya buy if she bought 1.5 pounds of rasins

Answers

Answer:

It would be roughly 5 lbs.

Step-by-step explanation:

Add then divide the amount of rasins to the cost of almonds oiefp

Need a little help. bananas a ssn as ssbs s s s sbs ssb ssb sbs ssb ssb sbs ssb​

Answers

Answer:

x = 23

Step-by-step explanation:

the angles in a triangle add up to 180

the square means 90

90 + 67 + x = 180

157 + x = 180

157 - 157 + x = 180 - 157

x = 180 - 157

x = 23


I dint understand this what’s the answer?

Answers

The answer I think it is would be B

can someone please help me with this math if you can will give brainly for correct answer

The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number is 27 more than the original number. Find the original number. Check your answer.

The original number is 38.

The original number is 47.

The original number is 74.

The original number is 83.

Answers

Answer:

-44+-11=11

Step-by-step explanation:

la respuesta es 54 y sí está bien gracias ahora adiós que tengas un buen día 33. Entonces -44 + -11 = 11 pero esa es la billetera que tengo.

Answer:

47

Step-by-step explanation

83 - 38 doesn't equal 27 and it said 27 more so it couldn't be 74 because if it was, it would be 27 less. So the only number left is 47!

What is the perimeter of a rectangle that
is 5 inches by 3 inches?

Answers

Answer:16

Step-by-step explanation:

It’s 16 because a rectangle has 4 sides and 2 of them are 5 and another 2 sides are 3 so 5 + 5 + 3 + 3 = 16

someone please help me ​

Answers

Answer:

(X,Y)=(1,-4)

Step-by-step explanation:

I need help like NOW!

Answers

Answer:

5t

Step-by-step explanation:

kinda self explanatory

dividing it, adding it, and subtracting it wouldnt make sense for the equation youre trying to solve.

Answer:

5t

Step-by-step explanation:

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