The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
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.
In first swing = 10 m
In second swing = (9/10)10 m = 9 m
In the second swing = (9/10)9 =81/10
10, 9, 81/10,..
This is the geometric sequence with the first term being 10 and the common ratio being 9/10.
a = 10
r = 9/10
The sum of geometric sequence up to 25th terms:
S = a(1 - rⁿ)/(1 - r)
S = 10(1 - (9/10)²⁵)/(1 - 9/10)
S = 92.82 m
Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the 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.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ5
Name the Solid.
What is the VOLUME of the solid?
Most Precise Answer =
Round to the nearest hundredth.
Approximate Answer =
Round to the nearest tenth if necessary.
Answer:
169.6
Step-by-step explanation:
multiply 27 by 2 then multiply by pi aka 3.14 then get 169.56 but round to 169.6 because 5 or up you round up 1 4 or below you stay the same
A spinner with 12 equally sized slices has 5 yellow slices, 3 blue slices, and 4 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow or blue slice?
The probability that the dial stops on a yellow or blue slice will be 0.6667.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
A spinner with 12 similarly measured cuts has 5 yellow cuts, 3 blue cuts, and 4 red cuts. The dial is turned and stops on a cut indiscriminately.
The total number of the event is given as,
Total events = 5 + 3 + 4
Total events = 12
The probability that the dial stops on a yellow or blue slice will be given as,
P = 3 / 12 + 5 / 12
P = 0.25 + 0.4167
P = 0.6667
The probability that the dial stops on a yellow or blue slice will be 0.6667.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
34% of _____ peaches is 17 peaches
Help please
Answer:
50
Step-by-step explanation:
34%=34/100
34/100 = 17/50
On a map with a scale of 2 units = 35 miles, find the distance from Sanford to Myrtle Beach if the cities are 10 units apart
Step-by-step explanation:
35/2=17.5
17.5 x 10=175
How is evaluating an expression with fractions like evaluating an expression with whole numbers? How is it different?
Answer:
Full explanation
What number should be placed in the box to help complete the division calculation?
Numerical Answers Expected!
Answer for Blank 1:
Answer:
5
Step-by-step explanation:
7632/14=545.1428571429
Y = 4x + 9
What is the slope and the y-intercept?
Answer:
y=4x+9 is in the form y=mx+b , so the slope ( m ) is 4 and the Y-intercept ( b ) is 9
Answer:
m = 4b = 9Step-by-step explanation:
We know that:
y = mx + by = 4x + 9If we compare these two equations, we can find the slope and the y-intercept.
=> (y = mx + b) = (y = 4x + 9)
We can clearly see that 'm = 4' and 'b = 9'.
Conclusion:
Therefore:
m = 4b = 9Hoped this helped.
Evaluate the algebraic expression, 3x + 2, for the different values of x listed.
x
=
−
0
.
5
x
=
−
1
its hard to read but you get 100 points soo
Do the values in the table represent a proportional relationship?
x 1 2 3 4
y 2.5 5 7.5 10
Select from the drop-down menu to correctly complete the statement.
All of the y-values a constant multiple of the corresponding x-values, so the relationship
Answer:
yes every values are increasing constantly by 2.5
Answer:
Step-by-step explanation:
Note that for each unit increase in x, y increases by 2.5. The constant of proportionality is therefore 2.5:
y = 2.5x
All of the y-values are a constant multiple of the corresponding x-values, so the relationship is a proportional one.
a house can be painted in 5 days by ৪ workers. how long will it take for 12 workers to paint the same house
Answer: 5 days I think. :)
Step-by-step explanation:
7x + 1039 = 245x
Please help!
Answer:
x = 4.37
Step-by-step explanation:
7x + 1039 = 245x=> 1039 = 238x=> x = 4.36554621849 (Using calculator)=> x = 4.37 (Estimated)Conclusion:
Therefore, x = 4.37.Hoped this helped
[tex]GeniusUser[/tex]
Answer:
[tex]\frac{1039}{238}[/tex]
Step-by-step explanation:
7x + 1039 = 245x
Minus the smallest x from the largest.
1039 = 245x - 7x
1039 = 238x
Divide 1039 by 238x to find the x
[tex]\frac{1039}{238}[/tex] = x
The chart shows the favorite sundae toppings of students at East MiddleSchool.what percentage of students picked whipped cream as their favorite sundae topping?
Answer:
Step-by-step explanation:
where is the chart than i can help
there is 10 fishes in a tank.
1 dies
3 swim away
4 choke on water
2 are breathing
how many fish are in the tank ?
10
It doesn't say they jumped out of the tank.
Answer:
Im not quite sure but I think it is either 10, cause it says there are 10 fish in the tank. Either that or 8 (ill explain)
Step-by-step explanation:
1 died, but that doesnt mean it was taken out of the tank. 3 swam away, but if they are in a tank they probably just swam to a different part of the tank. 4 choke on water, but that doesnt mean they didnt recover. however, the "2 are breathing" part got me confused since the definition of breathing means taking in air and expelling stuff out...fish "breathe" water so it didnt make sense. So, if you include the 2 breathing fish there are 10, but if u dont there are 8.
I really hope this helps :)
Jake is going shopping for a apple and soda cans, the cost of the apple is 12$ and the cost of each soda can is 7% if jake can spend at most 208$ how many loafs of bread can be purchased? Pls explain how I can do each step and get the solution (picture of steps I need to go by)
Answer: where does bread come from
Step-by-step explanation:
A plant is 5cm tall and growing at a rate of 3cm a month. What equation is right?
1. y=5x+3
2. y=5-3x
3. y=3x+5
Answer:
y=3x+5
Step-by-step explanation:
The plant starts at 5cm so +5 is the starting height, It grows at 3cm a month making 3x the growth rate. so 3x+5 is the height of the plant every month.
Please help! Math mid chapter check only this one question that has stumped me and so far I knew everything! Please help quickly! Thx
The original price is $70.00
The problem states that $59.50 is the discounted price, this means that it is not the 100% price of the aquarium. Since 15% is the discount, the remaining price is equivalent to 85% of the original price, which amount to $59.50.
100% - 15% = 85%
100% - 15% = $59.50
To get original price, we must divide the discounted price by its corresponding percentage.
$59.50 / 85% = original price
$59.50 / 0.85 = $70
To check, we must get the 15% equivalent amount from the original price.
$70 x 15% = $10.50 discount value
$70 - $10.50 = $59.50 discounted price
5x + 7y = 25
Neeed it
Answer: x = 5 + -1.4y
Step-by-step explanation:
Abby is painting two cubes for an art project.
Cube 1: side length = 3 feet
Cube 2: side length = 2 feet
The surface area of a cube is 6s2, where s is the length of one side.
Find the total surface area that Abby will paint.
1. Find the surface area of cube 1. Show your work, and include units with your answer.
2. Find the surface area of cube 2. Show your work, and include units with your answer.
3. What is the total area Abby will paint?
Answer:
54 sq ft, 24 sq ft, 78 sq ft
Step-by-step explanation:
1. Each side of cube 1 is 3 feet x 3 feet, so each side has an area of 9 square feet. Multiply by 6 sides and the area is 54 square feet.
2. Each side is 2 feet x 2 feet so the area of one side is 4 square feet. Multiply by 6 sides and the area is 24 square feet.
3. 54 + 24 = 78 square feet
Someone help me with this please, I really need help, and it's due tmrw...PLEASE
Answer:
The sunflowers height after one week
Step-by-step explanation:
The equation is the same as y=mx+b. It just has different letters representing each part.
A speed skater completes a 500 meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds.How do their speeds compare
Answer:
25:26
Step-by-step explanation:
You mean the ratio?
Let's simplify the speed skater first. 500 meter in 40 second to x meter in 1 second. 500/40=12.5 meters per seconds
Cheetah:260/10=26 meters per seconds
Let's make this into a integer
12.5*2=25
25:26
:)
Need help will give brainleist
Answer:
B 5*2*8
Step-by-step explanation:
To calculate the volume multiply the 3 dimensions together. you don't use the diagonal.
When the data points on a graph show a steady trend in an upward direction, there is ____________________________. ANSWERS I NEED: a negative trend
no relationship between the data points on the graph
a positive trend
not enough information to determine if there is a trend or not
I'm not sure but it's most likely a positive trend.
An international company has 25300 employees in one country. If this represents 29.1% of the company's employees, how many employees does it have in total?
Step-by-step explanation:
33.6% of X = 26800
X = 26800 / 33.6%
= 26800 / 0.336
= 79762
Does the following relationship represent a function?
Answer:
Yes. It represents a function. The x and y inputs represent functions, so it is indeed a function.
Step-by-step explanation:
Write your question here. We can't read your mind. Yet.
Answer:
The first is B.(second)
The second answer is C.(Third)
Answer:
The first is B.(second)
The second answer is C.(Third)
Step-by-step explanation:
Zoe planted a 4-foot oak tree in her backyard. The oak tree is expected to grow by 22 inches each year. If the oak tree grows at its expected rate, which of the following functions represents the height, H(x), in inches, of the oak tree after x years?
A.
H(x) = 22x + 48
B.
H(x) = 22x + 4
C.
H(x) = 48x + 22
D.
H(x) = 4x + 22
A holiday meal cost $12.50 a person plus a delivery fee of 30$. Which equation is right?
1. y=30+12.50x
2. 12.50x=30
3. y= 12.50+30x
4. y=12.50+30
Answer:
1
Step-by-step explanation:
:)
I tried it and got number 1, so i think its number 1!
May I please get help with my math lesson if possible I don't know why they are 4 answers if 1 of the answers don't apply to any of the questions it fine just leave it blank
Answer: S1:E7 ; S2:E1 ; S3:E5
Step-by-step explanation:
What we know:
3 answers applyWe need to find which answers go with each question**A lot of info is problem-specific.
How to solve:
Since we only need to write the equations, we simply need to find the x and y variables, and the total.
Process:
Problem 1:
Find the x 5.50Find the y 3Find the total 145Write equation 5.50 + 3 = 145Problem 2:
Find the x 2.50Find the y 0.75Find the total 25Write equation 2.50 + 0.75 = 25Problem 3:
Find the x 2Find the y 5Find the total 50Write equation 2 + 5 = 50Solution: S1:E7 ; S2:E1 ; S3:E5
Answer:
S1:E7 S2:E1 S3:E5 Have a great day...
Step-by-step explanation:
Does the following relationship represent a function?
Answer:
No. It represents the coordinate plane. it does not represent a function.
Step-by-step explanation:
hope this helped.
Consider the points (-5,2) and (3,-9)
What's the horizontal distance between the two points?
Answer:
The distance between the 2 points is about 13.6
Step-by-step explanation:
Picture the 2 points on a graph, and then look at the distance between them as the hypotenuse of a right triangle. You can easily find the length of the legs of that triangle, and with those legs, you can use the pythagorean theorem to calculate the length between the points.
The length of one leg is the distance between the 2 x-coordinates, between -5 and 3, so that's 8.
[tex]3--5=3+5=8[/tex]
The length of the other leg is the distance between the y, between 2 and -9.
[tex]-9-2=-11[/tex]
That's just a distance of 11, as there's no such thing as negative distance.
Now we have the legs, so we can find the hypotenuse:
[tex]a^2+b^2=c^2\\8^2+11^2=c^2\\64+121=c^2\\c^2=185\\c\approx13.6[/tex]
