Arun is making a bubble wand out of wire. The circular part of the wand has the radius shown. The diameter of his friend's wand is 4.5 millimeters shorter than the diameter of Arun's wand. How much wire did his friend need to make the circular part of his wand? Use 3.14 for 1. Round to the nearest hundredth.
Answers
Arun's wand has a diameter of d, so its radius is d/2. The circular part of the wand is the circumference of a circle, which is 2πr. So, Arun needs 2π(d/2) = πd units of wire to make the circular part of his wand.
Arun's friend's wand has a diameter that is 4.5 millimeters shorter than Arun's wand. So, the diameter of his friend's wand is d - 4.5. The radius of his friend's wand is (d - 4.5)/2. The circular part of his friend's wand is also the circumference of a circle, which is 2πr. So, Arun's friend needs 2π((d - 4.5)/2) = π(d - 4.5) units of wire to make the circular part of his wand.
To find out how much wire Arun's friend needs to make the circular part of his wand, we need to substitute the value of d - 4.5 in the formula we found in the main answer. So, Arun's friend needs π(d - 4.5) units of wire to make the circular part of his wand. We can round this to the nearest hundredth if necessary.
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Related Questions
SuRpRiSE shAwTYYyyyyyyyyyyyyyyyy
Answers
Answer:
HeyYyyYyYyT
Step-by-step explanation:
1 :)
A square has sides of length (2 a-b) metres. Write down an expression for the area of the square and simplify it
Answers
Answer:
A = 4a² - 4ab + b²
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length ) , so
A = (2a - b)² ← expand using FOIL
= (2a)² - 2ab - 2ab + (- b)²
= 4a² - 4ab + b²
Show What You Know
In 2-3 sentences, explain in writing, how you can compare
and order integers.
PLZZZ I DONT HAVE THAT MUCH TIME
Answers
Answer: " Compare and order integers, -3, +4 -3 < +4, 3 is farther to the left on the number line than +4. To put integers in order , you order the elevations from least to greatest. First, graph each integer then, write the integers as they appear on the number line from left to right. To compare integers If there are two numbers we can compare them one number is either greater than, less than or equal to the other number.
someone designed a game that attracts children. in case of the child won they will get a gift otherwise the child will lose their money. There is a box filled with n balls
• The child along with the game owner switch turns such that in each turn a player
could draw k balls at once at two conditions:
√k ∈ Z ∧ 1 ≤ k ≤ n
• The child draws first.
• The player who draws the last ball, wins
I am trying to design a recursive algorithm in Python programming language that takes
input N
output: true if the child won otherwise false
Answers
The algorithm is designed to find out whether the child wins or loses in a game where two players take turns to pick balls. The algorithm takes the number of balls remaining in the box as input and returns True if the child wins, otherwise False.
The algorithm assumes that both players play optimally. The algorithm works by recursively picking balls from the box and checking whether the child or the game owner wins the game.
This is a recursive problem where each player plays optimally. There are two players in the game. The child will pick the balls first and then the game owner takes turns. Both will pick the balls optimally in order to win.
In each turn, k balls can be picked from the box. The winner is the one who picks the last ball. If the child picks the last ball, they win otherwise the game owner wins.
The algorithm is as follows:
Algorithm - Pick Balls
1. Define a recursive function called PickBalls(n). The function takes one parameter as input, which is the number of balls remaining in the box.
2. Check if the number of balls remaining is less than or equal to k. If yes, then return True as the game has ended and the child has won.
3. If the number of balls is greater than k, then pick k balls from the box.
4. If the child picks the last ball, then return True.
5. If the child does not pick the last ball, then the game owner picks the balls recursively.
6. If the game owner picks the last ball, then return False. Otherwise, return True.
Explanation: We are designing a recursive algorithm to find out whether the child will win or lose in a game where two players take turns to pick balls. The algorithm takes the number of balls remaining in the box as input and returns True if the child wins, otherwise False. We are assuming that both players play optimally. The algorithm works as follows:
If the number of balls remaining in the box is less than or equal to k, then the child can pick all the balls and win the game. Therefore, the function returns True.
If the number of balls remaining in the box is greater than k, then the child picks k balls from the box. If the child picks the last ball, then they win the game. Therefore, the function returns True.
If the child does not pick the last ball, then the game owner picks the balls recursively. If the game owner picks the last ball, then they win the game. Therefore, the function returns False. If the game owner does not pick the last ball, then the child picks again and the process repeats itself. If the child eventually picks the last ball, then they win the game. Therefore, the function returns True.
Conclusion: The algorithm is designed to find out whether the child wins or loses in a game where two players take turns to pick balls. The algorithm takes the number of balls remaining in the box as input and returns True if the child wins, otherwise False. The algorithm assumes that both players play optimally. The algorithm works by recursively picking balls from the box and checking whether the child or the game owner wins the game.
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What is the measure of the indicated angle?
Answers
A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used to determine the amount of sales tax due on the entire purchase. Expand the expression and round to the nearest hundredth.
Answers
Answer:
1.65 + 0.09s
Step-by-step explanation:
Cost of speaker = 22
Cost per song = $1.25
Sales tax = 7.5%
Sales tax due on entire purchase :
0.075(22 + 1.25s)
1.65 + 0.09375s
To the nearest hundredth :
1.65 + 0.09s
Which of the following statements is false?
o All squares are parallelograms.
o All rectangles are squares.
o All rectangles are parallelograms.
o All squares are rectangles.
Answers
Answer:
All rectangles are squares is false
Step-by-step explanation:
Plss give brainliest?
Answer:
All rectangles are squares
Step-by-step explanation:
Can I get help on this please (:
Answers
Answer:
y=3x+11
Step-by-step explanation:
y-5=3(x+2)
y-5=3x+6
+5 +5
----------------
Therefore, y=3x+11
Fawn, Joey, and Caleb play a board game. Fawn’s score is -28 points. Joey score is 4/7 of Fawns’s score. Caleb scores 3/4 as many points as Joey how many points do they score and all?
Answers
Answer:
Fawn's score: -28 points, Joey's score: -16 points, Caleb's score: -12 points. Total score: -56 points.
Step-by-step explanation:
Joey's score:
\(\frac{4}{7}*-28=-16\)
Caleb's score:
\(\frac{3}{4}*-16=-12\)
Total score:
\(-28 + -16+ -12 = -56\)
Which fraction is equivalent to
2/5
Answers
Answer:
To make equivalent fractions, what we have to do is multiplicate or divide the numerator or denominator by the same number.
In our case:
\(\frac{2}{5}=\frac{2*2}{5*2}=\frac{4}{10}\)
\(\frac{2}{5}=\frac{2*6}{5*6}=\frac{12}{30}\)
\(\frac{2}{5} = \frac{2*12}{5*12}=\frac{24}{60}\)
That are only three examples, but there are infinite.
We could also obtain equivalent fractions dividing, for example, \(\frac{3}{9}\):
\(\frac{3}{9}=\frac{\frac{3}{3}}{\frac{9}{3}}\) = \(\frac{1}{3}\)
11 There are men and women at a meeting.
There are 28 women.
30% of the people at the meeting are men.
Work out the total number of people at the meeting.
Answers
Answer:
40 people
Step-by-step explanation:
Step one:
given data
let the total number of persons be x
There are 28 women
The number of men = 30% of x
Step two:
So the total person is given as
30/100*x+28= x
solve for x
0.3x+28= x
collect like terms
x-0.3x= 28
0.7x= 28
divide both sides by 0.7
x= 28/0.7
x= 40 people
I'm not good at time questions can someone help me?
Answers
Randy should begin his homework by 07:10 in order to sleep by 10:00
How to determine the time to start the homework?The given parameters are:
Social studies = 45 minutesScience = 40 minutesMath = 1 hour and 15 minutesBed preparation = 10 minutesIf the above activities are done, the time spent would be:
Time = 45 minutes + 40 minutes + 1 hour and 15 minutes + 10 minutes
Add the time
Time = 2 hour and 50 minutes
He wants to go to bed by 10:00.
So, the time to begin his homework is:
Begin = 10:00 - 2 hour and 50 minutes
Evaluate the difference
Begin = 07:10
Hence, Randy should begin his homework by 07:10
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0.7 repeating a rational or irrational number
Answers
A ______ tells you what percentage of a distribution scored below a specific score.
A. standard deviation
B. mean
C. percentile
D. frequency
Answers
A percentile tells you what percentage of a distribution scored below a specific score and hence, option C) is the correct answer.
A percentile is a measure used to indicate the value below which a given percentage of observations in a group of observations falls. For a set of data, a percentile is the number below which a certain percentage of data fall.
In other words, a percentile is the percentage of observations that fall below a particular score in a distribution. The percentile rank of a score represents the percentage of people who have lower scores.
When it comes to percentile scores, there is a range of scores that are associated with a percentile rank, and each score in that range corresponds to the same percentile rank.
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PLEASE HELP !!! It’s not math
Answers
Answer:
euphemism
1. c
2. a
3. b
dysphemism
1. c
2. a
3. b
Step-by-step explanation:
Answer:
euphemism
1.c
2.a
3.b
dysphemism
1.c
2.a
3.b
Step-by-step explanation:
Question 2
Find the area of the shaded region. Express your answer in terms of it.
3 in
6 in
-
9 in
O
12 in
18 in
ina
Answers
41.2 x 1.5. Then explain where the decimal point should go and why
Answers
Answer:
This is really simple, here i'll explain:
Step-by-step explanation:
41.2 x 1.5=
count how many spaces are after the decimal point.
for example, 41.2 has 1 space after the decimal point. The decimal 1.5 also has 1 space after the decimal point. So if you add the spaces it would be 2 because 1 + 1 = 2
After that, take away the decimal point, and just multiply like you normally would.
412 times 15
this would be 6180
after you do the multiplication, you will add the decimal point.
The decimal point will go in between 1 and 8 because there were 2 spaces after the decimal point in the numbers, and if you add them it would be 2 spaces.
Hope this helps!
Answer:
41.2×1.5=61.8. because you always have to line up the decimals.
mark spent a total of $12.33 on 9 oranges and a packet of strawberries. if the packet of strawberries costs $2.88 how much did each orange cost
Answers
Answer: $1.05 per orange
Step-by-step explanation:
12.33 - 2.88 = 9.45
9.45 ÷ 9 = 1.05
give an example of a geometric formula that contains pi. what is the formula used for?
Answers
An example of a geometric formula that contains pi(π) is the formula for the circumference of a circle, which is
C = 2πr. This formula is used to calculate the distance around a circle.
What is a geometric formula?A geometric formula is a mathematical equation that describes a relationship between geometric figures or their properties.
Geometric formulas are used to calculate the area, perimeter, volume, surface area, and other properties of shapes such as circles, triangles, rectangles, spheres, cubes, and cylinders. For example, the formula for the area of a triangle is
A = 1/2 b×h, where b is the base of the triangle and h is its height.
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Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)]
Answers
Answer:
0.53 hours
Step-by-step explanation:
D = (r)(t), Where
‘D’ is the distance covered
‘r’ is the approach rate
‘t’ is the total time spent
Distance covered, ‘D’ = 4 miles
Approach rate, “r” = 3.5mph + 4mph
r = 7.5mph.
t is unknown
Solving for t,
D = (r)(t)
4 = 7.5t
t = 4/7.5
t = 0.53 hours (to the nearest hundredth)
Therefore, it will take Amanda and Alexis 0.53 hours to meet
How much money would be in an account if you start with $500 and keep the money in the account for 4 years? The account compounds weekly at a rate of 2.3%.
Answers
Answer:
Step-by-step explanation:
2000
In a survey, out of all the people surveyed, 160 of them (or 26%) said they wanted a new park built for the city. How many people were surveyed?
Answers
Answer:
41.6 or 42
Step-by-step explanation:
1% of 160 is 1.6. now if you do 1.6 x 26(1% of 160 26 times)= 41.6. or you can round up to 42.
Ellora wants to accumulate $150000.00 in an RRSP by making annual contributions of $5000.00 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.
a. 18.202125
b. 18.676765
c. 17.455483
d. 17.585794
e. 18.076686
Answers
Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.
First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is:
\(FV = (C * [(1 + r)^n - 1] / r)\),
For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)
We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)
Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.
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Find the slope of the line that passes through (4, 1) and (9, 8).
Answers
the slope is 7/5
According to the information in the table, who is the fastest typist?words typed by four typiststypistwords typedminutes typingella64016harper45015owen56014shaquille54012ellaharperowenshaqui
Answers
Shaquille has the highest typing speed of 45 WPM, making him the fastest typist among the four individuals. Therefore, the answer is d).
To determine the fastest typist among Ella, Harper, Owen, and Shaquille, we need to calculate their typing speeds in words per minute (WPM). Typing speed is calculated by dividing the number of words typed by the minutes spent typing.
For Ella, she typed 640 words in 16 minutes, resulting in a typing speed of 640/16 = 40 WPM.
For Harper, she typed 450 words in 15 minutes, resulting in a typing speed of 450/15 = 30 WPM.
For Owen, he typed 560 words in 14 minutes, resulting in a typing speed of 560/14 = 40 WPM.
For Shaquille, he typed 540 words in 12 minutes, resulting in a typing speed of 540/12 = 45 WPM.
Comparing the typing speeds, we find that Shaquille has the highest typing speed of 45 WPM, making him the fastest typist among the four individuals.
Therefore, the answer is d) Shaquille.
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According to the information in the table, who is the fastest typist?
Words Typed by Four Typists
Typist Words Typed Minutes Typing
Ella 640 16
Harper 450 15
Owen 560 14
Shaquille 540 12
a) Ella
b) Harper
c) Owen
d) Shaquille
Based on the data in the table, Ella is the fastest typist because she has typed 640 words in 16 minutes.
According to the table given, Ella is the fastest typist with a typing speed of 40 words per minute.
She typed a total of 640 words in 16 minutes which is twice the number of words typed by Harper, who is the second fastest typist.
Harper has a typing speed of 30 words per minute and typed 450 words in 15 minutes.
Owen and Shaquille have typing speeds of 28 and 45 words per minute, respectively.
Owen typed 560 words in 14 minutes, whereas Shaquille typed 540 words in 12 minutes.
Therefore, Ella is the fastest typist among all the typists mentioned in the table and Shaquille is the fastest among Owen and Shaquille.
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I’ll give you brainlest if you answer this! goes to the first person!
Answers
Find the limit of the function by using direct substitution. Limit as x approaches zero of quantity x squared plus ten. Answer Choices: A) -10 B) Does not exist C) 0 D) 10
Answers
Answer:
D
Step-by-step explanation:
So we are given the limit:
\(\lim_{x \to 0} (x^2+10)\)
To figure out this limit, we can use direct substitution. Simply substitute 0 for x and then simplify. Therefore:
\(\lim_{x \to 0} (x^2+10)\\=(0)^2+10\\=0+10\\=10\)
Therefore, the limit equals 10.
A model of an apartment is shown below where - inch represents 4 feet in the actual apartment. Use a
ruler to measure the drawing and find the actual length and width of the bedroom.
Bedroom
Answers
Answer:
what is the question
Step-by-step explanation:
You roll a number cube one time. What is the probability that you roll a 6 or 4? Enter your answer as a fraction in simplest form.
Answers
That's two possibilities of a total of six =
2/6=1/3=33.33%
(1/3)
A box of 120 crayons contains variations of three colors: blue, red, and purple. The ratio of blue crayons to red crayons is 11:2, and the ratio of the number of red crayons to purple crayons is 2:7. If all of the purple crayons were removed, how many crayons would be left in the box?
Answers
Answer: there would be 106,am not sure
Step-by-step explanation: