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

The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.

Answers

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

= 7×14,348,908/4 = 7×3,587,227 = 25,110,589

i need help with this question pls

Answers

Answer:

etra cheese

Step-by-step explanation:

mark me brainleist

Extra cheese , make me brainlest

11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have

Answers

Answer:

44 ten-dollar bills

Step-by-step explanation:

Assume that all 124 bills are ten-dollar bills,

124 x $10 = $1240

Total Value of Money : $840

$1240 - $840 = $400

There are $400 worth of five-dollar bills,

$400 / 5 = 80 (The number of five-dollar bills)

Therfore the number of ten-dollar bills,

124 - 80 = 44

Let's check:

44 x $10 = $440

80 x $5 = $400

Total = $440 + $400

        = $840

Write the expression:

the sum of a number and it's opposite

Answers

Answer:

0

Step-by-step explanation:

              -5                             5

           <-+-+-+-+-+-+l-+-+-+-+-+->

               l               0                l

<-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+->

-8 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 6 7 8

graph l. (l points down).   Thanks!

Answer:

the sum of a number and it's opposite= x - (x)

Step-by-step explanation:

The opposite number of 2 would be -2. The opposite number of 4 would be -4 and vice versa.

Because the oppposite number is just a number that is the opposite operation of something, finding the sum of a number and it's opposite will always make the sum 0.

Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investment, including the broker fee, was $5,726.70. How many shares did he purchase.

Answers

Answer:

180

Step-by-step explanation:

add 1% to 31.50 to get 31.815

then take the total 5276.70 and divide by 31.815

Need help with Pre college

Answers

Answer:

check online for more information

Help find the value X

Answers

Answer:

x=61

Step-by-step explanation:

2x-6+x+3=180

3x-3=180

3x=183

x= 61

Ok done. Thank to me :>

Based on paragraph 2 of this speech excerpt, what was
President Kennedy's position on the expense of the space
program?

Answers

Answer:

Please give me Brainliest!

Step-by-step explanation:

President Kennedy's position on the expense of the space program was that  it would be well worth the high cost.

Explanation:

The general sentiment of the 1960s was extremely in favor of the space race and the Us was heavily invested in the exploration of the space even as the costs for doing so were soaring exorbitantly high.

The President understood this and so did not want to tinker with the hopes and aspirations of the common people who had come to love these efforts.

These efforts were also a matter of great national pride and thus seen well worth the cost they incurred on the people and the tax-paying part of the country.

PLS HELP!!!!! What are the zeros of polynomial function [tex]F(x) = x^4 - 10x^2 + 16[/tex]

Answers

Answer:

(-√8, 0), (-√2, 0), (√2, 0), (√8, 0)

Step-by-step explanation:

solve for g. bf-5k=c(g+2k)

Answers

Answer:

hope it helps.

stay safe healthy and happy.

Answer:

In bold below.

Step-by-step explanation:

bf-5k=c(g+2k)

g + 2k = (bf - 5k)/c

g =  (bf - 5k)/c - 2k

Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values are integers. What's the domain and range for this graph ?

Answers

The domain of the graph is  [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].

The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.

For the graph, the domain will be the values of the graph along the x-axis.

Domain = [tex]-8<x\leq 9.5[/tex] (Note that -8 is not included)

For the range, the interval is given as: [tex]-4\leq x<4[/tex]. Note that the value of 4 is not included since it is opened.

Learn more on domain and range here: https://brainly.com/question/1942755

SOSSSS:

Find all the values of x between 0 and 4 for which 3 cos(2x - 1) = 2

Answers

Answer:

0.29 π(52.5°)

Step-by-step explanation: here is the explanation

The movement of the progress bar may be uneven because questions can be worth more or less (ir
Add: (– 15xz + 4xy) + (20xy - 9yz + 16xz)

O 24x2 y2 – 9yz + x² zº
0 16xyz
0 5xy – 5 yz + 16xz
024xy - 9yz + xz

Answers

Your Answer Is : - 31xz + 16xy - 9yz

The answer is -31xz +16xy-9yz

Help me please i really need it​

Answers

Answer is    35:25:81

=======================================================

Explanation:

The ratio we want is in the format green:red:total which means we list the number of green first, then the number of red next, then the number total last. The order is very important. This is because we'll simply list the numbers without saying the color name or "total". So the reader will imply what the numbers refer to, based on this order mentioned.

We have:

50 red70 green42 yellow50+70+42 = 120+42 = 162 total

The ratio of green to red to total is 70:50:162

To reduce the ratio, we divide all three parts of that ratio by the GCF 2

70/2 = 3550/2 = 25162/2 = 81

The ratio 70:50:162 fully reduces to 35:25:81 which is the final answer.

This says that for every 35 green marbles, we have 25 red marbles and 81 total marbles.

Select the correct answer.

What is the symbolic representation for this argument?

If a polygon has exactly three sides, then it is a triangle

Jeri drew a polygon with exactly three sides.

Therefore, Jeri drew a triangle.


Answers

Answer:

jeri drew a plgon with exatly three sides

Answer:

could you add the choices please

Step-by-step explanation:

it doesnt help without the choices

A number x is no less than 18

Answers

Answer:

x>18

Step-by-step explanation:

That's the answer if x can't be 18.

Answer:

x ≥ 18

Step-by-step explanation:

I'm not really sure how to explain how it's correct but, the given statement can also be written as " a number, x,  can be equal or more than 18

The sum of two numbers is 43. The smaller number is 7 less than the larger number. What are the numbers?

Answers

Answer:

the expressions are: x + y = 43  and x - 13 = y

x = 28

y = 15

Step-by-step explanation:

hope this helps

may i get braineist pls

Answer:

Smaller is 18, larger is 25.

Step-by-step explanation:

x + y = 43

y = x - 7

x + (x - 7) = 43

2x - 7 = 43

2x = 50

x = 25 (larger)

25 - 7 = 18 (smaller)

Make the d subject of the formula c = kd^2 + e

Answers

[tex]c = k {d}^{2} + e \\ = > c - e = k {d}^{2} \\ = > {d}^{2} = \frac{c - e}{k} \\ = > d = \sqrt{ \frac{c - e}{k} } [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Francine recorded today's high
temperature as 78.6°F. Today's low
temperature was 4.7°F less than
that. How much cooler was today's
low temperature than yesterdays low
temperature, which was 77.4°F?

Answers

Answer:

3.5

Step-by-step explanation:

the problem says 4.7 less than which refers to subtraction so we can plug our numbers into a subtraction problem like so

78.6-4.7 which equals 73.9

the second part of the problem asks the difference between yesterday's low and today's.

we can take the two lows and subtraction them to find this answer.

77.4-73.9 which equals 3.5

so today's low was 3.5 degrees cooler than yesturdays

A bag has 2 blue marbles and 16 red marbles. half of the red marbles are made of plastic. a marble is selected a random from the bag what is the possibility that it is a red plastic marble 

Answers

there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles

there are 18 marbles in total

8/18

Answer:

1/9 or 11.1%

Step-by-step explanation:

16 out of 18 are red

1/8 are red plastic

16/18 x 1/8 = 16/144 or 1/9


If a square has an area of 49 ft', what is the length of one of its sides? The perimeter?

Answers

Answer: 12.25 ( each side )

Step-by-step explanation

Divide 49 by 4, which is 12.25

At M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65. How many dollars would seven pastrami sandwiches and twelve sodas cost?

Answers

Answer:

37.95

Step-by-step explanation:

MATH

The cost of seven pastrami sandwiches and twelve sodas is $40.08.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that at M & P’s Deli, two pastrami sandwiches and five sodas cost $12.65, while three pastrami sandwiches and two sodas also cost $12.65.

2P + 5S = 12.65

3P + 2S = 12.65

2P + 5S = 3P + 2S

P = 3S

3 x 3S + 2S = 12.65

6S + 2S = 12.65

8S = 12.65

S = $1.58

P = $3.16

The cost of seven pastrami sandwiches and twelve sodas will be:-

Cost = 7P = 12S

Cost = ( 7 x 3.16 ) + ( 1.58 x 12 )

Cost = $41.08

To know more about an expression follow

https://brainly.com/question/29379220

#SPJ6

i really need help please

Answers

Answer:

207+ 364 = 571

Step-by-step explanation:

i guess?._.

Sofia walks from her house to the park. She reaches the park at 5 5 : : 25 25 . If it is a 40 40 -minute walk, what time did she leave her house?

Answers

Answer:

4:45

Step-by-step explanation:

hope this helps

The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?

40 feet
4/33feet
16/33feet
20/33feet

Answers

Answer: 4/33 feet

Explanation: 20/33 - 16/33 = 4/33

A container 2/3 gallon of apple juice. If four people from the cross-country Tracy team share the juice equally how much juice will each team member get?

Answers

Answer:

1/6 gallon

Step-by-step explanation:

Total juice = 2/3 of container

Total people = 4

Juice for 1 people = 2/3/(4)

=> 2/3 × 1/4

=> 1/3 × 1/2

=> 1/6

Becky is planning a 2 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon
About

how many gallons will her car use on the trip?

O 12
O 70
067
034

Answers

The number of gallons of fuel required for 200 miles will be 6.7 gallons. The correct option is C.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that Becky is planning a two 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon.

The total miles covered in two trips will be,

100 + 100 = 200 miles

The amount of fuel will be calculated as:-

Fuel = 200 /  30

Fuel = 6.7 gallons

Therefore, the fuel quantity will be 6.7 gallons.

To know more about an expression follow

https://brainly.com/question/27800493

#SPJ2

PLEASE HELP DUE NOW!!

Answers

Answer:

✓ C. f(x)= sqrt 1/x

Step-by-step explanation:

i hoep this answer your question

One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *

Answers

Answer: I need the map good sir please show it

Step-by-step explanation:

What is equivalent to 6x=3+4=5+3x+4?

Answers

Answer: Can I see an image of the word problem?

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