A monkey is swinging from a tree, on the first swing, she passes through an arc of 10 m. with each swing she passes through an arc 9/10 the length of the previous swing. what is total distance the monkey has traveled when she completes her 25th swing

Answers

Answer 1

Answer:

≈ 92.821 m

Step-by-step explanation:

For a geometric series with initial value a and rate r, the sum after n terms can be represented by

a*(1-r^n)/(1-r)

Here, we know a = 10 (the first swing), r = 9/10 because the second swing was 9/10 of the first swing, meaning we multiply the first swing by 9/10 to get the second swing, and n = 25. Plugging these values in, we get

10 * (1-0.9^25)/(1-0.9) ≈ 92.821 m


Related Questions

Monica paid sales tax of $1.40 when she bought a new bike helmet. If the sales tax rate was 7%, how much did the store charge for the bike helmet before tax?

Answers

Divide 140 by 7 and you get 20, so Monica spent 20$ in order to pay a 1.40 sales tax

What is the area of triangle ABC? pls help i need to pass this test!!

Answers

Answer:

Step-by-step explanation:

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 59 kilograms. A
delivery of large boxes and 4 small boxes has a total weight of 149 kilograms. How much does each type of box weigh?
a

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See the picture attached

2 times the difference of 5 and 3​

Answers

Answer:

4

Step-by-step explanation:

Equation:-

2(5-3)

=> 2(2)

=> 4

Help help help help math math math

Answers

12x + 10 + 8x + 10 = 180

20x = 160

x = 8
Hope this helps!

I’m failing pls help I’ll brainlest ASAP

Answers

-2,-1
step by step explanation: i counted the numbers and got the answer

Hey can some help me

Answers

Answer:

zero

Step-by-step explanation:

Zero

Positive means that the slope moves upwards from the left to right

Negative means that the slope moves downwards from the left to right

Zero means the slope doesn't increase nor decrease

Undefined is considered the opposite in how the current slope is

Slope of (-5,-1) and (10,-8)

Answers

Answer:

m=-7/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/15

HELP 40 POINTS!!!!!!​

Answers

Answer:

x = -2

Step-by-step explanation:

the y value in slope intercept form, which is the slope, is undefined. there is no y intercept, so the only known value (the x in y=mx+b) is -2, meaning the equation is x=-2

Slope:-

[tex]\\ \sf\longmapsto m=\dfrac{-3-2}{-2+2}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-5}{0}[/tex]

[tex]\\ \sf\longmapsto m=\infty[/tex]

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y-2/\infty=x+2[/tex]

[tex]\\ \sf\longmapsto x+2=0[/tex]

[tex]\\ \sf\longmapsto x=-2[/tex]

What is the area of a triangle with a base of √10 and a height of √13

Answers

Area of triangle= 1/2 bh
= 1/2 (sqrt 10) (sqrt 13)
Answer=1/2 (sqrt 130)

Answer:

5.691

Step-by-step explanation:

v10=3.162   and v13=3.605  

so 3.162x3.605= 11.383

the 11.383 divided by 2 = 5.691

Estimate. Then divide. check for reasonableness 25,600 divided by 25.

Answers

Answer:

Step-by-step explanation:

HELP!!

Name the property below

(2+7) +3= 2+(7+3)

A. associative
B. Commutative

Answers

Associative property!
The property states that when three or more numbers are added (or multiplied), the sum (or the product) is the same regardless of the grouping of the addends!
Hope this helps!

Decide whether the following statement makes sense or does not make sense. The weights of babies born at Belmont Hospital are normally distributed with a mean of 6.8 pounds and a standard deviation of 7 pounds.

Answers

Answer:

yeah that makes sense to me

A line with a slope of 1 passes through the point (5, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=1x-8

Step-by-step explanation:

Lets do the same thing we did last time

-3=1(5)+?

-3=5+?

The y intercept is -8

CHECK:

-3=1(5)+-8

-3=5+-8

-3=-3

Answer:

y=x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1(x-5)

y+3=x-5

y=x-5-3

y=x-8

Find the slope of the line.

Answers

Y=Mx+b. M refers to slope, which is rise over run. The rise (up and down movement) is -1 (because it goes down 1 to reach the next exact graph point). The run is 1 (because it moves 1 unit right to each the next exact point on the graph). The slope is -1/1, or just -1. B refers to the y intercept, which is the point where the graph hits the y axis. In this case. The y intercept is (0,3), or y=3. Your equation would then be y= -X+3

The given triangles are similar. Find x.

Answers

Answer:

9

Step-by-step explanation:

Each side is being multiplied by 1.5.

3 times 1.5 is 4.5.

7 times 1.5 is 10.5.

6 times 1.5 is 9.

Please helpppp quick

Answers

X >_(-5)
The third option from the left.
C is the right answer.

What is the least common multiple of 9 and 8

Answers

Answer:

Frequently Asked Questions on LCM of 8 and 9

Find the prime factorization of 8 8 = 2 x 2 x 2

Find the prime factorization of 9 9 = 3 x 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm: LCM = 72 = 2 x 2 x ...

Therefore, the least common multiple of 8 and 9 is 72.

Step-by-step explanation:

f (x) = x^2 g (x) = (x-9)^2 +3 we can think of g as a translated (shifted) verson of f. complrte the description of the transformation

Answers

Step-by-step explanation:

Given:

f(x) = x² and g(x) = (x - 9)² + 3

If g is the translation of f then it is:

g(x) = f(x - 9) + 3

This is a shift right 9 units and up 3 units

Answer:

Yes

Step-by-step explanation:

f(x)=x²

y=x²

Shift nine units right

y={x-9)²

Shift 3 units up

g(x)=(x-9)²+3

Use slopes and y-intercepts to determine if the lines 5x−5y=5 and 5x−5y=−5 are parallel.

Answers

They are parallel because they have the same slopes (5x)

Is 0.136 greater or least to 0.23?

Answers

Answer: least

Step-by-step explanation: because 0.23 is closer to 1

Least

If you removed the last term from 0.136, it would become 0.13

Compared to 0.25, it is lower.

Solve for t
The equation is in the photo

Answers

Answer:

[tex]\huge\boxed{t=\sqrt{\dfrac{2d}{a}}}[/tex]

Step-by-step explanation:

[tex]d=\dfrac{1}{2}at^2\\\\\dfrac{1}{2}at^2=d\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}at^2=2\cdot d\\\\at^2=2d\qquad|\text{divide both sides by}\ a\neq0\\\\\dfrac{a\!\!\!\!\diagup t^2}{a\!\!\!\!\diagup}=\dfrac{2d}{a}\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}[/tex]

In a class of 36 students, 27 download rap music onto their mobile phones.
What percentage of the students listen to rap music?

Answers

it should be 75% (.75) because 27/36

Approximately 75% of the students in the class listen to rap music.

Percentage is a way of expressing a proportion or a fraction of a whole quantity in terms of 100. It is denoted by the symbol "%". The term "percent" comes from the Latin word "per centum," which means "per hundred."

To calculate the percentage of students who listen to rap music, you can use the following formula:

Percentage = (Number of students who listen to rap music / Total number of students) * 100

In this case:

Number of students who listen to rap music = 27

Total number of students = 36

Percentage = (27 / 36) * 100 ≈ 75%

So, approximately 75% of the students in the class listen to rap music.

Learn more about Percentage from the  link given below.

https://brainly.com/question/32197511

#SPJ2

Subtract 38¢ from $5.60. Include the dollar sign and no spaces in your answer.

Answers

Answer:

5.22

Step-by-step explanation:

Answer:

its easy, just subtract 50 - 38 = 22 so its $5.60

(your welcome and math makes me notalisgica :) )

Step-by-step explanation:

write an inequality with a solution that matches the graph at least two steps should be needed to solve your inequality. Just 62 and 64 please ​

Answers

Answer:

x >= -2

-2 < x < 1

Are 3:5and 1:2 equivalent

Answers

Answer:

No. They are not equivalent.

Step-by-step explanation:

[tex]\frac{3}{5} \neq \frac{1}{2}[/tex]

=> [tex]\frac{6}{10} \neq \frac{5}{10}[/tex]

Therefore, 3/5 and 1/2 are not equivalent.

Hoped this helped.

Answer:

yes

Step-by-step explanation:

they are equivalent


Two trains are traveling at a constant rate. Which train has the greater speed?

Answers

A point on the graph (for train b) that is exact is (2,250). From the origin, the rise is 250 and the run is 2. Rise/run would give us 250/2, which is 125. This means that train B travels 125mi every hour. For train A, we subtract the distance from hour 2 from hour 3 to get the miles per hour (because 3-2=1, subtracting the distance of hour 3 from 2 will give us the distance in 1 hour). 180-120= 60, meaning train A travels at 60mph. 60<125, meaning A

Select the graph that correctly translates ƒ(x) = |x| 4 units in the negative x-direction and 3 units in the positive y-direction.

Answers

Answer:

it would be the last one

Step-by-step explanation:

lmk if you want an explanation

Which of the following can be used to represent the complement of event X?

Answers

2nd X..

I hope that this is correct

A baby is 3 weeks and 4 days old. What it's is age in days?​

Answers

Answer:  25 days

Work Shown:

1 week = 7 days

3 weeks = 21 days .... multiply both sides by 3

3 weeks + 4 days = 21 days + 4 days = 25 days

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