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How many guests were present? 2017-09-17
From SM:
How many guests were present at an Italian dinner if every 2 guests shared a bowl of salad, every 3 guests shared a bowl of pasta, and every four guests shared a bowl of meatballs, and there were 65 bowls used altogether?
Answered by Penny Nom.
Ordering fractions 2017-05-25
From Esmeralda:
How May i order this 30%,3/100,7/20 and 0.33 from least to greatest
Answered by Penny Nom.
Solve 3x^2-19x-14=0 for x 2017-03-15
From nick:
I'm an 8th grader and am quite confused with this equation: 3x^2-19x-14=0

The answer is:
-2/3 , 7

But I'm not sure how to solve for it.

Answered by Penny Nom.
Covering the ceiling of a garage 2017-02-20
From DeAnna:
I am trying to drape a 15 x 30 garage with yards of fabric. If the yard of fabric is 60 inches wide, would 10 1/4 yards be enough for my space?
Answered by Penny Nom.
Write these numbers from greatest to least 2016-12-22
From lsaiah:
write the following numbers from greatest to least

3 1/2, 7/3, 80%, 2.5, 0.94

Answered by Penny Nom.
Covering a floor with plank flooring 2016-12-04
From sandra:
my bathroom is 5'x6'.2"
i want to purchase plank flooring which covers 19.8 sq ft per box.
how many boxes would i need.

Answered by Penny Nom.
A ship and a light 2016-08-11
From Kirby:
A ship is sailing due west when a light is observed with heading 29750' from the ship. After the ship has travelled 2250 feet, the light heads 31155' from the ship. If the course is continued, how close will the ship approach the light?
Answered by Penny Nom.
Covering a site with 6 inches of rock 2016-04-26
From Carla:
if a pump house that measures 20'x16' sits in the middle of a site that is 50'x60' and you apply crushed rock to the site at depth of 6", how many yards will you need to haul?
Answered by Penny Nom.
Strings of characters 2015-12-28
From Ali:
If I have an app and offer a two, three and four digits name and it can be only number, letters or both?
I want to know how many options will I have for each?
For example
the two digits: aa, 11, a1 or 1a
the three digits: 111, a2a, 222
the four digits: 1111, 2ge3 or 1234
So if I used all the letters and all the numbers but nothing starts with a zero How can I calculate them separately? Or what's the result for each?
Thank you
Ali

Answered by Penny Nom.
Is 22/7 bigger or smaller than 3.14? 2015-11-06
From Natalie:
Is 22/7 bigger or smaller than 3.14?
Answered by Harley Weston.
Factoring a trinomial 2015-11-02
From Eric:
2v(squared) +11v +5
Answered by Penny Nom.
Ordering fractions 2015-03-27
From latoya:
Put the following amounts in order from greatest to least 60%,2/3,0.599 explain answer
Answered by Penny Nom.
Bearings and a rectangular plot 2015-02-14
From Mubashir:
A,B,C,D are the four corners of a rectangular plot marked on level ground. Given that the bearing of B from A is 040 degrees and that the bearing of C from A is 090 degrees. Calculate the bearing of
(a)B from C
(b)A from C
(c) D from C

Answered by Penny Nom.
The product of a 2-digit number and a 3-digit number 2015-02-06
From Nathaniel:
The product of a 2-digit number and a 3-digit number is about 50 000 what are the products
Answered by Penny Nom.
2x^2-2x+1=4x+1 2015-02-06
From Caitlyn:
2x^2-2x+1=4x+1
Answered by Penny Nom.
Comparing fractions 2015-02-02
From shealla:
Please help me with my assignment please I'm having trouble answering this one..
Write the larger fraction in each pair..
A. 2/3, 4/7 B. 1/3, 2/5 C. 5/8, 3/5

Answered by Penny Nom.
Factorise 15x + 15y 2014-11-20
From Jordan:
hi i saw a question in class today that i didn't understand and i didn't really understand what my teacher was going on about so how do you factorise 15x + 15y
Answered by Robert Dawson and Penny Nom.
Two ships 2014-11-18
From Laura:
7. A ship leaves its home port and sails on a bearing of N28.17E. Another ship leaves the same port at the same time and sails on a bearing of S61.83E. If the first ship sails at 24 mph and the second at 28 mph find the distance between the two ships after 4 hours.
Answered by Robert Dawson.
A factoring problem 2014-10-05
From Gina:
3x^2+6x+3
Answered by Penny Nom.
Sharing in the ratio of of 2:3:5 2014-07-11
From Muzdalfah:
Amount of Tsh 12,000 is to be shared among John,Hidaya and sabrina in the ratio of of 2:3:5 respectivly.How will each get?
Answered by Penny Nom.
Covering a 12 inch by 12 inch square hole 2014-07-02
From Patricia:
I am putting in a new bathroom fan. I am wondering if a new light with a 15 inch diameter will cover the existing square hole which is 12 by 12 inches? If the existing hole is 11 1/2 by 11 1/2 inches?

Also, if the 15 inch diameter does not cover the 12 by 12 hole, what size diameter would?

Thank you.

Answered by Penny Nom.
A triangle on the surface of the Earth 2014-06-26
From Christine:
A, B and C are three towns, the bearing of B and C from A being 310 degrees and 220 degrees, and their distances from A are 510km and 700km respectively. Find the bearing of B from C to the nearest minute.
Answered by Robert Dawson.
6 character strings using 1, 5 and 9 2014-06-15
From Kevin:
How many 6 digit combinations (i.e., 159159) can be made from 3 different numbers (i.e., 1,5, and 9)? The numbers will obviously have to repeat. A link to a calculator that could list all the combinations would be helpful. I've come across these sites: http://textmechanic.com/Permutation-Generator.html, and http://textmechanic.com/Combination-Generator.html , but am not sure how to use them for my specific case. Thanks.
Answered by Penny Nom.
Golf for 8 playing 7 rounds 2014-04-03
From Evan:
We are going on a golf trip to Scotland and are trying to work out the pairings. There are 8 of us playing 7 rounds. We would like to be partnered up in 2's with everyone once and have evenly split up foursomes. Thanks for the help
Answered by Victoria West.
12 golfers, 6 rounds 2014-03-27
From Bill:
I have a group of 12 golfers playing 6 rounds of golf. I am looking for a pairings schedule that allows each golfer to play at least one round in a foursome with each of the other eleven players.

Can you provide me with a solution?

Answered by Victoria West.
A cable around the Earth 2014-03-13
From fikile:
By how much must an equatorial cable be extended in order that it runs 1meter above the ground?
Answered by Penny Nom.
Radio direction finders 2014-01-09
From Nathan:
Radio direction finders set up two points A and B, which are 2.5 miles apart on an east-west line. From A, it is found that the bearing of a signal from a radio transmitter is N36.33 degress E, while from B the bearing of the same signal is N53.67 degrees W. Find the distance of the transmitter from B.
Answered by Penny Nom.
Can 100r^2-81z^2 be factored? 2013-12-08
From Rosa:
Can 100r^2-81z^2 be factored?
Answered by Penny Nom.
Factor 2013-12-01
From Rosa:
How do you factor 9x^2 - 12y^2?
Answered by Penny Nom.
A string wrapped around three circles 2013-10-19
From Jim:
A recent puzzle ' find the length of a string around 3 touching 1 meter diameter circles ' gave this answer : the string touches 120 (or pi/3 meters) of each circle. Then 3(1+pi/3) = 3+pi meters is the required length. I do not see how it was determined that the string touches 120 or pi/3 meters?
Please explain . Thank-you , Jim

Answered by Penny Nom.
Factor strings 2013-10-14
From Jane:
What's a factor string? I'm confusey in the head.
Answered by Penny Nom.
If the earth was made of a ball of string 2013-09-18
From Tammy:
My 9 year old son asked me a question and I have no idea how to work it out! Please can you help?

If the earth was made of a ball of string and you unravelled the string how long would it be? Assuming the string is 5mm thick.

Answered by Penny Nom.
Covering a styrofoam ball with fabric 2013-09-11
From Alice:
I am trying to create a pattern in order to cover a styrofoam ball with fabric. The pattern needs to be done in such a way as to have only a center seam, rather than several vertical lines as in slicing a melon.
Answered by Chris Fisher.
The square footage of a 17 inch by 17 inch tile 2013-05-18
From Leroy:
How do I calculate the square footage of a 17inch by 17 inch tile
Answered by Penny Nom.
The rings of a bull's eye 2013-04-28
From Math:
The bulls eye of a target is a circle 20 cm in diameter. It is surrounded by four rings, each 15 cm wide. Find the area of each ring.
Answered by Penny Nom.
Sharing in a car rental 2013-04-09
From Marilyn:
8 persons are planning to share equally the cost of a rental car. If 1 person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons is increased by--------------?
Answered by Penny Nom.
Four digit "combinations" using 0124 2013-02-27
From Ayana:
What are all the possible four digit combinations using 0124. Please list them for me. Thank you.
Answered by Penny Nom.
A boy walks 3km due east and 4km due north 2013-02-01
From Kayode:
Question from Kayode

A boy walks 3km due east and 4km due north. Find the bearing of the final point and the distance of the final position from the starting point.

Answered by Harley Weston.
Factor x^6 - 64 2013-01-25
From Taylor:
Hi, I am having trouble factoring x^6-64. Could you help me?
Answered by Penny Nom.
Mod versus Rem in Turing 2013-01-01
From Eric:
I am a teacher teaching computer science using Turing. I am having difficulty understanding why one would use the mod operator versus the rem remainder operator.

Mod seems to make the resulting sign depend on the sign of the divisor, whereas rem makes the resulting sign depend on the dividend.

Examples:

11 mod 5 = 1 and 11 rem 5 =1
-11 mod 5 = 4 and -11 rem 5 = -1
11 mod -5 = -4 and 11 rem -5 =1
-11 mod -5 = -1 and -11 rem -5 = -1

What I can't understand is why this would matter. For example, -11 / 5 = -2.2 and 11 / -5 = -2.2 get the same result.
So how is a remainder dependent on the sign of one of the parts? What benefit would using one over the other have?

Any insight would be most helpful!

Eric

Answered by Harley Weston.
Factor (6a^2-5a+1)(8a^2-6a+1)(12a^2-7a+1) 2012-11-16
From bailey:
Factorise f(a)=(6a^2-5a+1)(8a^2-6a+1)(12a^2-7a+1) thus find [f(a)]^1/2
Answered by Penny Nom.
My compass was off by 8 degrees 2012-10-30
From Oscar:
If I walked 620' and my compass was off by 8 degrees how many feet from my heading was I? Thank You
Answered by Penny Nom.
Factoring 2012-09-10
From saravanan:
Dear Sir ,
I felt difficulty solving the following problem . So please help me .

a+b+c=7
ab+bc+cd= 20
what is a^2+b^2+c^2 ?

Answered by Lorraine Dame and Robert Dawson.
Ordering fractions 2012-08-22
From Imani:
I am a 6 th grader and on my homework it asks to order the fractions from least to greatest 11/12, 9/10, 10,/11, 15/16. Please help with solving this question.
Answered by Penny Nom.
Bearings 2012-07-19
From olawale:
an airplne flew from a city X on a bearing of 225deg. to another city of Y a distance 200km away. it then flew from city Y on a bearing of 30deg.w to city Z a distance of 250km. calculate the distance from X to Z correct to the nearest whole number. and also calculate the bearing of city X from Z.
Answered by Penny Nom.
Probability and curling rings 2012-07-16
From Fatima:
In the olympic event of curling, the scoring area consists of four concentric circles on the ice with radii of 6 inches, 3 feet, 4 feet, and 6 feet If a team member lands a (43 pound) stone randomly within the scoring area, find the probability that it ends up centred on a.red b.white c.blue

I am explaining the figure also in words The smallest Circle is of White color then a blue colour circle then again a White colour circle then the last big circle of red color The answer for a bit is 5/9 I tried it with many ways but I am not getting the answer Please clearly tell me what is n(S)and what is n(E).

Answered by Penny Nom.
Factoring 2012-04-26
From Amanda:
y=x^2-9x
Answered by Penny Nom.
Factoring a quadratic 2012-03-13
From Makell:
X^2 + 32x + 220 = 0
Answered by Penny Nom.
Wallpapering a room 2012-02-08
From jimmy:
Ms. Frank is going to wallpaper a living room with dimensions 24 feet long, 18 feet wide, and 8 feet high. What surface area does Ms. Frank plan to wallpaper?
Answered by Penny Nom.
Ordering Fractions 2011-11-16
From Chloe:
hey okay im having trouble with a math question. how do you put these fractions in number order
8/14 11/28 3/7

Answered by Jaymi Schmidt.
Ordering fractions 2011-11-16
From Laya:
Order from least to greatest
2/3, 1/2, 5/12

Answered by Jaymi Schmidt.
Expanding the size of a table 2011-10-16
From Ericka:
You are working as a carpenter in an industrial Shop. A customer came to you and inquired about the size of the table which would be fitted in her room. She informed you that she had already a 1.5 x 1m table in her room but she wanted to maximize the space by adding the same amount to is length and width. She is planning to occupy a 3 square meter place on her room for her to work comfortably. She is requesting you a written recommendation before she asked to make a table. What amount should be added to both sides to maximize a 3 square meter area?
Answered by Penny Nom.
Ordering fractions 2011-08-17
From Myon:
My problem is putting fractions from least to greatest and they are 1/4 2/5 1/3 4/6 1/2 8/9 3/4 1/1 2/6 1/10 thanks
Answered by Penny Nom.
Ordering fractions 2011-03-20
From Yasmine:
what's the answer, greatest to least

3/8 1/4 2/3

Answered by Penny Nom.
Factor 10x^2+17x-6 2011-03-03
From Jeff:
Factor 10x^2+17x-6 with steps and explanation.
Answered by Penny Nom.
Ordering fractions 2011-03-01
From amanda:
I am utterly confused my son needs to order 3 different fractions from least to greatest such as 3/6, 5/6 & 4/6 I read your explanation on how to do it but I was still confused is there a more simpler method?
Answered by Robert Dawson.
Factoring with fractions 2011-02-15
From Megan:
Hi there, I'm working on factoring polynomials but this question has me quite puzzled.. im a college student in my first year.

(x^2-a^2/xy)(xy/x+a)

Answered by Penny Nom.
Ordering fractions 2010-12-14
From serita:
1/2,2/4,4/8 how do you do least to greatest
Answered by Penny Nom.
Ordering mixed numbers 2010-11-23
From kate:
what are the mixed numbers 5 7/9, 5 1/2, 5 11/18. put least to greatest?
Answered by Penny Nom.
Ordering fractions 2010-11-14
From Alexia:
I am having real trouble with how to order 18/11 , 2/5 ,6/15 from least to greatest can you give me a step by step real easy way to do it?
Answered by Penny Nom.
Factoring cubics and quartics 2010-09-29
From Tori:
How do you factor these types of questions:

* x^3 - 4x^2 - x + 4
*2x^3 - 3x^2 - 4x - 6
*x^4 - 15x^2 - 16

Answered by Robert Dawson.
COMPASS BEARING 2010-09-22
From Vivinne:
Three boys, Isaac, Alex and Ken are standing in different parts of a football field.Isaac is standing 100m North of Alex. Ken is 120m East of Alex. Find the compass bearing of Ken from Isaac.
Answered by Stephen La Rocque.
Ordering fractions 2010-08-24
From COCO:
Hello. I am having lots of trouble with these types of problems. Here is one of them:1/2 1/18 3/6. And I need to order them from greatest to least. Please also explain how to do it.
Answered by Robert Dawson.
Comparing percentages 2010-06-14
From Anouska:
In category A, Annie gave 5 out of 6 responses. I make this 83% I the same category, Adam gave 4 out of 10 responses. I make this 40%

Does this mean that Annie gave 43% more responses in this category than Adam?

Answered by Robert Dawson.
A quartic equation 2010-05-18
From Austin:
Z^4-10z^2=-9
Answered by Penny Nom.
How many 20"X20" tiles do I need to cover 90 sq. ft? 2010-03-23
From Karen:
How many 20"X20" tiles do I need to cover 90 sq. ft.
Answered by Penny Nom.
Ordering fractions 2010-02-26
From jessie:
I'm having alot of trouble with orderig fractions from least to greatest! I'm in 5th grade....and my problem is, 5/8,1/2, and 3/4
I need to know HOW to order them.........can anyone give me a simple explanation?

Answered by Penny Nom.
Ordering fractions 2010-02-26
From Brianna:
I'm a seventh grader and we're learning about fractions. How would you list the numbers in order from least to greatest?
The options:
A. 9/14 , 17/28 , 11/21
B. 17/28 , 9/14 , 11/21
C. 9/14 , 11/21 , 17/28
D. 11/21 , 17/28 , 9/14

Answered by Penny Nom.
Factoring 2010-01-08
From jim:
i am having trouble with grade 12 factoring in general, i just do not understand it, please help! here is and example of a question:
12ac+28bc-3ad-7bd and it gets tougher from there like 7a(squared)-14ab+7b(squared) any help is greatly appreciated

Answered by Stephen La Rocque.
Factoring 2009-11-19
From danyelle:
81x^2+36x+4

factoring i dont understand it at all

Answered by Robert Dawson.
-4 squared and (-4) squared 2009-09-29
From Andrea:
Is -4 squared the same as (-4) squared? I am thinking the first is -16 and the second is +16. I am trying to clarify for my students.
Answered by Penny Nom.
Comparing fractions 2009-09-28
From TeeTee:
I am in 6th grade. I have to order these fractions from least to greatest: 3/4, 2/5, 5/8, 1/2.....How do I order them if I dont know where to start, and how would I find these answers...Please Help! :)
Answered by Penny Nom.
Ordering numbers 2009-09-19
From tattiana:
how do you order these numbers from greatest to least .625,.75,.20, and .5
Answered by Penny Nom.
Factoring 2009-08-23
From Bj:
Solve for x: 5x^2 - 35x = 0
Answered by Stephen La Rocque.
Factoring a quadratic 2009-06-16
From Rebecca:
solve the quadratic equation by factoring.
a) x(squared)+7x+10=0

Answered by Stephen La Rocque.
how do I factor 45 - 5x^2 2009-05-31
From tracey:
how do I factor 45 - 5x^2
Answered by Penny Nom.
Comparing positive and negative fractions 2009-03-24
From Christyrose:
Hello. I am a sixth grade math student and i need help on how to compare negative and positive fractions.

Here is is:
3/4 -2/3 7/10 -5/6

I'm not sure how to do the negative parts because i was absent for a couple days. Thank you!

Christyrose

Answered by Penny Nom.
How many ball bearings can you make from a cone? 2009-03-14
From Vatsal:
there is a sum in my maths book which states the following: how many ball bearings of diameter 2.5 cm. can you get by melting a solid metalic cone of radi. 20cm and a Hight of 5 meters? how do i do this please tell me even the minute things like cancellatoins and where to use = , ; or any such thing because Im a bit weak in maths
Answered by Harley Weston.
The area of a 5-sided lot 2009-03-02
From Linda:
I have a problem I'm hoping you can provide some help with. When I check the property information for our home on our District of North Vancouver website, it shows that our property is supposed to be 1146.99 Square Metres. Yet another property which has identical measurements is listed as having 1173.7 Square Metres. I would like to figure out who is correct.
Answered by Harley Weston.
Find the resultant of this displacement pair 2009-02-22
From katydidit:
Find the resultant of this displacement pair:
500 miles at 75 degrees east of north and 1500 miles at 20 degrees west of south.
How do I graph this and how do I solve this problem?

Answered by Penny Nom.
7 golfers playing 4 days of golf 2009-01-30
From Trish:
I have 7 golfers and we are playing 4 days of golf. I would like to do pairings so that everyone gets to play with each other at least one time. Can you help with this? Not a math whiz here and looking for help. Thank you.
Answered by Victoria West.
A cake must be divided evenly 2009-01-20
From kelen:
a 10 inch by 10 inch square cake must be divided evenly among 5 people. the top and all four sides of the cake are frosted. each person must receive the same amount of cake and the same amount of frosting. there must be no cake left over. how can this be done?
Answered by Robert Dawson.
Ordering fractions 2009-01-14
From Shea:
I am a special education teacher, who is trying to to show my students how to order fractions. I found your response to this questions while looking for information. I need a visual to explain to my students and myself on how and why you multiply the fractions together.
Answered by Harley Weston.
Pouring angles for a crucible 2008-12-20
From Richard:
I am trying to work at pouring angles and volume left in during pouring a crucible, The crucible is cylindrical and flat bottomed.

I know the diameter, radius and volume of the crucibles. and the volume of liquid going into it.

So lets say the crucible is only half full firstly I need to work out the angle just before its going to pour. ( I can work this out as long as there is a certain volume of liquid if its not enough I cant do it)

Now the problem I also need to work out how much I should tilt the crucible to allow a certain amount out and be able to do this untill the volume reaches 0 at 90' turn. This is where I am stuck.

The reason for needing to be able to work this out is so i can develop a constant flow for example 10Kg of metal per second. Thank you very much for you time

Answered by Harley Weston.
Three circular rings 2008-12-18
From seema:
three circular rings of equal radii of 1cm each are touching each other. a string runs all around the set of rings very tightly. what is the minimum length of string required to bind all the three rings ?
Answered by Robert Dawson.
Wall covering 2008-12-10
From Jeanie:
I need to convert 14 LY of wallcovering (54" wide) to square feet. Can you please help me?
Answered by Penny Nom.
Six golfers 2008-11-25
From Joe:
I have a group of 6 golfers wanting to play 3 or 4 rounds but with different players each day if possible. We know we cannot make it happen without some playing with the same person. Can you provide some pairings for this?
Answered by Victoria West.
Factor 9x^2 + 6x + 4 2008-11-21
From Jonah:
how can i solve this by factoring: 9x^2 + 6x + 4
Answered by Harley Weston.
How do I compare fractions and decimals? 2008-11-18
From Alexis:
How do I compare fractions and decimals ?
Answered by Penny Nom.
Real and imaginary zeros 2008-11-12
From David:
Find all the real and imaginary zeros for each polynomial. Factor each polynomial. Leave factors with imaginary zeros in quadratic form.

h(x)= x^5 +2x^4 - 10x^3 -20x^2 +9x + 18

Answered by Harley Weston.
Order the #s from least to greatest 2008-10-24
From morgan:
order the #s from least to greatest

18 7/12, 18 2/3, 183/4, 18 1/3

Please help
Morgan

Answered by Stephen La Rocque.
Factor completely 2008-10-22
From Monica:
I have to factor the following two items completely, but I am lost. I've tried factoring by substitution and grouping but they don't seem to work:

1. 5(w-3z) -10(w-3z)=

2. ab-21+a3-b7=

Answered by Penny Nom.
Putting fractions in order 2008-09-11
From kaby:
whats the answer for this? put it from least to greatest: 1/4, 1/9, 1/8
Answered by Penny Nom.
How far was the ship from the tower at 1:30 p.m? 2008-09-07
From sam:
A passenger on a ship sailing north at 5.0 mph noticed that at noon a radio tower on land was due east of the ship. At 1:30 p.m., the bearing of the tower from the ship was S35degreesE. How far was the ship from the tower at 1:30 p.m.
Answered by Stephen La Rocque.
What is the bearing to the ship from port? 2008-09-06
From Rita:
A ship leaves the port of Miami with a bearing of S80degreesE and a speed of 15 knots. After 1 hour, the ship turns 90 degrees toward the south. After 2 hours, maintaining the same speed, what is the bearing to the ship from port?
Answered by Penny Nom.
Ordering fractions 2008-08-25
From Ghita:
Order these distances from least to greatest
1/2 , 5/8 , 3/4
What is a quotient?

Ghita

Answered by Penny Nom.
Simplifying Algebraic Expressions 2008-08-22
From Jacky:
x^2-y^2+4x+4y
Answered by Penny Nom.
Factoring x^2 + 729 2008-08-19
From peter:
hello I,am having trouble factorising a polynomial into polynomial factors with real coefficients please can you help the polynomial is x^2+729
Answered by Harley Weston.
A string around the world 2008-08-18
From Terry:
I heard this on T.V. and was wondering if it was true. Place a string around the world, you would need 25,000 miles of string. If you raised the string off of the ground by 1 foot all the way around. How much more string would you need?
Answered by Penny Nom.
(9x^2-4)/(3x^2-5x+2) * (9x^4 - 6x^3 +4x^2)/(27x^4+8x) 2008-04-29
From Jonathon:
I don't remember how to solve an equation in the form of the following:

(9x^2-4)/(3x^2-5x+2) * (9x^4 - 6x^3 +4x^2)/(27x^4+8x) =

Answered by Stephen La Rocque.
Factor x^6-5x^3+25 2008-03-11
From jacob:
how do you factor equations for algebra 2
x^6-5x^3+25

Answered by Harley Weston.
The dimensions of a rectangle 2008-03-06
From Julie:
Find the dimensions of a rectangle with an area of 400. Width x ft. Length (2x-7)ft.
Answered by Stephen La Rocque and Penny Nom.
A dog and a fire hydrant 2008-03-06
From Brittany:
A bulldog is walking east along Main St. at a speed of 4 miles per hour. He wants to get to a fire hydrant on a parallel street. Initially, the bearing to the hydrant is south 62 degrees east. After 20 minutes, the bearing is south 41 degrees east. If the bulldog continues his walk, what is the closest he will be to the hydrant?
Answered by Stephen La Rocque.
5x^2 - 45 2008-02-11
From Tiana:
factor: 5x^2 - 45
Answered by Stephen La Rocque.
Factoring x^2 + 25 2008-01-04
From Geri:
what does x squared plus twenty five factor out to?
Answered by Penny Nom.
Ball bearings in an oil can 2007-12-03
From Lisa:
One hundred ball bearings with radius 5 mm are dropped into a cylindrical can, which is half full of oil. The height of the cylinder is 20 cm and the radius is 8 cm. By how much does the level of the oil rise?
Answered by Stephen La Rocque.
Ordering fractions 2007-11-23
From Joy:
what are the orders of these fractions?
2/3, 1/2, 1/4, 2/10, 3/4, 1/3, 9/10, 2/2.

Answered by Penny Nom.
Three colouring the USA map 2007-11-15
From Hammed:
Prove that if each of the 50 states in the USA is assigned one of the colors red, white, or blue, then some pair of adjacent states must have the same color. (If you think that Arizona and Colorado are adjacent, then you may not consider New Mexico and Utah to be adjacent, too. You can't have it both ways!)
Answered by Victoria West.
8^2+64^2 2007-11-12
From Daniel:
I am having trouble factoring equations like 8^2+64^2, I just don't know the correct steps to get the answer.
Answered by Penny Nom.
I need to order 3/11, 1/8, 2/9 from least to greatest 2007-10-19
From Andrew:
I need to order 3/11, 1/8, 2/9 in least to greatest.
Answered by Penny Nom.
Factoring quadratics 2007-10-09
From Abbie:
I have two problems same topic. I belive they cannot be factored but i want to make sure.
x2+6x-40
x2-20x+99

Answered by Penny Nom.
Can you solve this by factoring? 10r^2 - 35r = 10 2007-08-12
From Aranxa:
how do u solve this equation by factoring:
10r^2 - 35r = 10

Answered by Stephen La Rocque.
The bearings of a ship's journey 2007-07-20
From sugar:
A ship starts from point osail eastward for 6 hours. Then changes its course to N50E for 8 hours and then N62W for 10 hours until it reaches the point c. If the speed of the ship was imi/h, what is the bearing of the side oc?
Answered by Harley Weston.
What is the bearing from the port to the ship? 2007-07-18
From fhay:
A ship leaves a port and sails for 4 hours on a course of 78 degrees at 18 knots. Then the ship changes its course to 168 degrees and sails for 6 hours at 16 knots. After 10 hours(a) what is the distance of the ship from a port and (b) what is the bearing from the port to the ship?
Answered by Harley Weston.
Simplifying a quartic rational expression using long division 2007-06-14
From Megan:
x+2/12x^4+17x^3+0x^2+8x-40=
Answered by Stephen La Rocque and Penny Nom.
Using FOIL for (2x - 6)^2 2007-05-18
From TONI:
I am having a problem finding examples of how to solve (2x-6)^2.
Answered by Stephen La Rocque.
Ordering fractions 2007-05-08
From Mary:
Can you place these in order? 1/8, 15/64, 15/16, 7/32
Answered by Stephen La Rocque.
Edging surrounding a round pool 2007-05-03
From Carol:
Hello, I am new at this and very rusty on my math. I am getting a 24 Ft. round pool and would like to put 2ft width stone (small) edging around it. How much would I need to buy. I have to buy it by the yard (cubic yard) I am not looking for an exact, just an approx. even would be great. Thanks Carol
Answered by Stephen La Rocque.
Factoring by grouping 2007-04-13
From vincent:
How would you factor the number in ( ) are exponents 2b(3)+3a(3)+3ab(2)+2a(2)b = and 4b4b(3)+a(2)b - 4a - ab(4) =
Answered by Haley Ess.
How far from the port is the point where the ship turned? 2007-02-19
From Chris:
I was confused on this problem. If a ship leaves port and travel due east. At a certain point it turns 65 degrees south of east and travels b=322 nautical miles to a point 461 nautical miles on a direct line from port. How far from the port is the point where the ship turned?
Answered by Stephen La Rocque.
Factoring polynomials 2007-02-14
From Joe:
I am in the eighth grade, and we are learning the equivalent of Algebra 2. I have no ides how to factor (x-2)(x^2-1)-6x-6 You help is most aprreciated. Thank you! Joe
Answered by Stephen La Rocque.
Comparing two fractions 2007-01-18
From Kayla:
Why does eight over twelve compared to one half work when you use cross multiplication.
Answered by Penny Nom.
Probability and Lisa's rings 2007-01-15
From Spencer:
lisa has 9 rings in her jewelry box. five are gold and 4 are silver. if she randomly select 3 rings to wear to a party, find each probability p(2 silver or 2 gold)
Answered by Stephen La Rocque.
Ordering farctions 2007-01-05
From Samantha:
I am having trouble ordering these fractions: 2/15, 1/5, 3/5

And also would like to know what is $6.67 divided by 8 rounded to the hundredths place

Answered by Penny Nom.
Order the fractions from least to greatest 2007-01-04
From Justin:
I am a sixth grader, and I am having trouble with the last question in my homework assisgnment. 1/6, 2/5, 3/7, 3/5!
Answered by Stephen La Rocque and Penny Nom.
Factoring m^4-9^n 2006-12-07
From Josh:
I can not figure out how to completely factor m^4-9^n.
Answered by Penny Nom.
I have to design a lettering on corrugated plate 2006-11-29
From Tim:
For a client of mine I have to design a lettering on corrugated plate. The lettering has to appear "normal" when viewed from the front (100%) I am so far now to consider the shape of the plate to be two halves of an oval/ellipse. What I would like to know is a way to calculate the percentage in which I have to "stretch" my design in order to let it appear "normal".
Answered by Stephen La Rocque and Penny Nom.
Bearings 2006-11-22
From Suzy:
Mr. John wants to fly her airplane from point A to B, a distance of 450 miles. If B has a heading of 60 degrees from A, and there is a constant wind from the southeast blowing at 60 mph, find the speed and heading she should maintain in order to land at B in 90 minutes.
Answered by Stephen La Rocque.
How do I factor 10x^2 + 17x + 6? 2006-11-21
From Sheldon:
How do I factor 10x^2 + 17x + 6?
Answered by Penny Nom.
Squaring numbers 2006-10-08
From Timothy:
did anyone ever try to teach that the easiest way to find the next square in a group of numbers is to add the next odd number in the sequence. for example: 1 squared is 1, 2 squared is 4,difference of 3.the next odd number is 5 so the next square would be 4 +5 or 9
Answered by Paul Betts and Penny Nom.
How do i factor x^3 - 6x^2 + 8x 2006-09-10
From Lauren:

how do i factor

x3 - 6x2 + 8x


Answered by Stephen La Rocque.
An aircraft going from city A to city B 2006-05-10
From Preston:
An aircraft going from city A to city B on a bearing of S69 degrees East is traveling at a speed of 430 mph. The wind is blowing out of the north to south at a speed of 25 mph. Find the ground speed and the plane's true bearing.
Answered by Stephen La Rocque.
Comparing Fractions 2006-03-24
From J.:
how can you compare fractions with like numerators and UNlike denominators, like 2/3 and 2/5, without renaming or using fraction strips?
Answered by Stephen La Rocque and Penny Nom.
Factor 2006-03-08
From Brad:
Factor:
x3 + 64m3 and 125p3 - q6

Answered by Penny Nom.
Find the ground speed and the planes true heading. 2006-02-05
From Jimmie:
An aircraft going from city A to city B on a bearing of S69E (degrees) is traveling at a speed of 430 mph. The wind is blowing out of the north to south at a speed of 25 mph. Find the ground speed and the planes true heading.
Answered by Penny Nom.
5x^2 - 27x - 18 2006-01-13
From Katy:
How would you factor 5x2 - 27x - 18?
Answered by Penny Nom.
3x^4 - 81 2006-01-02
From Julio:
How can I factor the following?:

3x4 - 81

Answered by Penny Nom.
Factoring quartics 2005-11-13
From Kyle:
How do I factor y4 + y2 +1?? I think the answer is (y2 + y + 1)(y2 - y + 1), but I'm not sure how to get that...
Answered by Chris Fisher.
Factoring 2005-10-30
From A student:
Factor 18x3 y3 + 12xy2
Answered by Penny Nom.
A quadratic 2005-09-06
From Ginger:
I took a pre alg test today. There was a question on it that I am not sure and is bothering me. Can you tell me the answer?

x square + 13 + 14

Factor this

Answered by Penny Nom.
Which number is greater? 2005-08-18
From Dante:
Which number is greater: 888....88 X 333...33 or 444.......44 x 666........67 (each of the numbers has 1989 digits)?
Answered by Claude Tardif.
Factoring 2005-05-20
From Abraham:
Can you please explain to me how to factor completely the following problem:
(sqrt(x+1))-((x2+2x+1)( -7/4)).

Answered by Penny Nom.
16x^2+20x-12x-15 2005-05-03
From Tanya:
how they got (4x+5)(4x-5) from
16x2+20x-12x-15=4x(4x+5)-3(4x+5)=(4x+5)(4x-5)

Answered by Penny Nom.
"a" cubed minus "b" cubed 2004-12-02
From Denise:
"a"cubed minus "b"cubed equal (a-b) times
("a"squared plus "ab" plus "b"squared)?

I know this is a formula, but why is it true?

Answered by Penny.
Solving quadratics 2004-11-20
From Aaron:
Can you solve the following equation (quote the value of x,y and t to 3 sig figs)

((i have changed figures so that i can work through my own example))

x2 + x - 6 = 0

5y2 +19y = 3 10cos2 t + 3cos t = 4

Answered by Penny Nom.
Factoring 2004-11-09
From Rise:
Q1: a2 + 5a + 6

I didn't really understand the purpose of the teacher's steps, but was able to get my daughter to find factors of 6 and then add them together to find which resulted in the sum of 5.

Unfortunately, this problem-solving technique did not help us to solve for the more complex problems as follows:

Q2: 9a3 - 24a2 + 12a

Answered by Penny Nom.
Multiplying two algebraic fractions 2004-10-31
From A parent:
Multiply:

x+2 x-4
----- x -------
x-2 x+x-2


Answered by Harley Weston.
X is due north of Y ... 2004-08-11
From A student:
X is due north of Y and 2km distant. Z is due east of Y and has a bearing of S3512'E from X. How far, to the nearest metre, is Z from X?
Answered by Penny Nom.
sin^2x-5sinx-3=0 2004-08-02
From Kerri:
hey my name is kerri i'm a college students and i was wondering if you could help in with this problems

sin^2x-5sinx-3=0

Answered by Penny Nom.
Factoring 2004-07-28
From Nicole:
Can 4x2 + 19x + 12 be factored? i have tried but i cannot figure it out. Is there a way to find out if it cannot be factored before i try to work out the problem?
Answered by Penny Nom.
Factoring 2004-07-19
From A student:
Factor completely:
3x3 - 24y3
54x6 + 16y3
16xy - 4x - 4y - 1
0.09x2 - 0.16y2

Answered by Penny Nom.
Solving some quadratic equations 2004-07-15
From A student:
Could you please solve the following for x

x2+6=5x
x2+16=8x
2x+21=3x2

Answered by Penny Nom.
Factoring integers 2004-07-02
From A student:
After looking at all the info I could get about NFS, I still have some questions that are unsolved:

First of all: If someone found an algorithm that has a worst case running time of N*Log(N) to factor an integer n into his divisors, would it be quicker or slower then the number field sieve algorithm?

secondly, what exactly is the time complexity of the Number Field Sieve algorithm, if I would factor an integer n?

Answered by Claude Tardif.
Finding bearings 2004-05-24
From James:
This question is about finding bearings. A boat race starts from point A, goes North to Point B, a distance of 1000 meters. The course is triangular. The bearing from point B to point C is South 70degrees West. The distance from Point B to point C is 1500 meters. Find the course bearing from C to A.
Answered by Penny Nom.
Factoring 2004-04-27
From Bipin:
FACTORISE:

a to the power of 6 + b to the power of 6

Answered by Penny Nom.
Some factoring problems 2004-04-15
From KJ:

Factor these:
x3+125 -----> (x+5)3
8x3-27 -----> (?)
x2+36 -----> (x+6)2
x4-5x2+4 --> (?)


Answered by Penny Nom.
Factoring x^2 + 5x + 4 2004-03-14
From Keenan:
how do I factor x^+5X+4?
Answered by Penny Nom.
Pairing boys and girls 2004-02-01
From Terri:
Suppose 7 boys and 7 girls are assigned to work in pairs of one boy and one girl. Explain what equation can be used and how you would use a simpler problem to solve these types of questions.
Answered by Penny Nom.
A game with some strings 2004-01-22
From Trudy:
A boy holds 6 pieces of strings in his hands with the ends protruding above and below. The top ends are tied together in pairs and then the lower ends are tied together in pairs. What is the probabilty that the pieces of string are all joined in one loop?

What is the probability of obtaining two loops? Can you generalise this to solve the problem for 2n blades of grass?

Answered by Andrei Volodin and Penny Nom.
Factoring expressions 2004-01-03
From A student:

I'm having trouble factoring expressions that aren't monic. I can do things like x2-9x+8, but problems like 12x2+5x-3 have me stumped.

I also have a question about factoring out common factors. In a problem like x2-18x+81, wouldn't you divide by 9? But what happens to the x2, is it x2/9?
Answered by Penny Nom.

Factoring in 2003-12-16
From Priscilla:
How can you use solving by factoring in real life applications?
Answered by Harley Weston.
A rock on a string 2003-10-26
From A student:
a rock on a 4' string is rotated at 80 rpm. what is the linear speed in feet per second? in miles per hour?
Answered by Penny Nom.
Two trig problems 2003-06-10
From Bett:

I have this ongoing trouble with trig and solving triangles with laws of cosines and sines!! For example if it asks to solve triangle FGH, given angle G=102.7 , side f=14.2, and h=18.6. Now do I use law of cosines because I don't have the measure of an angle and length of the opposite side??I don't know where to go from here,I am totally confused!!!

I also have a problem with this word problem I have been doing. It asks: An airplane flies 847.5 km at a bearing of 237.3 degrees. How far south and west fo its original position is it? Huh? Please help!


Answered by Penny Nom.
Factoring 2003-02-04
From Marcin:
I am having a really hard time with the factor theorem. Can you please help me with the following? (a'3 means a to the exponent 3)

a)8a'3+64b'3c'6
b)8x'4-12x'3-44x'2+24x
c)x'4-21x'2-100

Answered by Penny Nom.
Factoring a trinomial 2003-01-26
From A student:
how do you factor: Xsquared + 8x + 12
Answered by Penny Nom.
Factoring 2002-12-11
From Larry:
Question:

how do u factor trinonmials

EX: X 3 + Y 3

X 3 - 8Y 3

8X 2 - 72

64A 3 - 125B 6

Answered by Penny Nom.
Factoring a cubic 2002-12-05
From Dorota:
I got a problem with factorise the expression
2x3+11x2-5x-50.

Answered by Penny Nom.
A schedule for a fantasy football league 2002-09-01
From Steve:
i am in a ten(10) team league, split evenly into two five team divisions. we play a thirteen(13) game schedule and would like to play each team in your own division twice, and each team in the other division once. according to my rudimentary mathematics that equals 13 games. a good schedule should look somthing like this: team 1-5 = division 1 team 6-10 = division 2 team 1 should play teams 2-5 twice and teams 6-10 once.
Answered by Claude Tardif.
A popular television game show 2002-05-19
From Amrita:
On a popular television game show, contestant must first answer a question by placing 4 given events in ascending or desending order in the quickest time.

(a) if a contestant does not know how any of the events should be arranged, how many different ways could the question be answered?

Answer: 4!= 24

(b)a contestant has to arrange the events that correspond to A, B, C, and D. one contestant is positive that event D follows directly after avent B, but does not know about the other s. how many different ways could this contestant arrange the letters A, B, C, and D, list the possibility

Answer: which I didn't get


Answered by Penny Nom.
Ratios 2002-04-17
From A student:
  1. Medication is givin at 1cc. per 20 pounds of body weight. A dog weighs 16 pounds how many ccs. of medication does the dog get?

  2. Dr. Lee wants you to prepare 1000 ml. of a 10% dextrose solution in lactaed ringers for diuresis or a patient you have a 1 L bag of lactated ringers and 500 ml of 50% dextrose for injection. How would you prpare the solution?

Answered by Penny Nom.
24x^4 + 3x 2002-03-18
From gary:
24x 4 + 3x
Answered by Penny Nom.
2/3 vs 3/4 2002-01-02
From Julia:
So, here's my question. Some of the problems they've had to do starts off with two fractions, and they have to tell whether the two fractions are:
  1. The first one is greater than the second one
  2. The first one is less than the second one, or
  3. They are equal.

One day my son had the problem of 2/3 vs 3/4. Without drawing out a pie chart, how in the world can a child "eyeball" a problem like this and tell what the correct answer is? I've also tried to teach about making common denominators, but that's going over his head at this point.


Answered by Denis Hanson and Harley Weston.
Numbering pages 2001-11-15
From Lucy:
A printer uses 1008 digits to number the pages of a book. How many pages are there in the book?
Answered by Penny Nom.
(a+b) squared and a squared plus b squared 2001-11-14
From Kristen:

(a+b)2 = a2 + b2

Is this true for all whole numbers, and why?


Answered by Penny Nom.
Squaring the circle 2001-10-23
From Margaret:
I have the following question that I cannot answer on my own (I don't know where to begin): Is it possible construct a square whose area will equal the area of a given circle? Please Explain why or why not.
Answered by Penny Nom.
4x(2x-1)+(2x-1)2 2001-09-17
From Nick:
how do u solve 4x(2x-1)+(2x-1)2
Answered by Penny Nom.
Comparing means and standard deviations 2001-07-11
From Shelly:
Is there a way to compare means and standard deviations that come from different size samples? Is there an equation that can normalize sample size?
Answered by Andrei Volodin.
A factoring problem 2001-06-14
From A student:
What is the factoring of x squared -7+6 equal
Answered by Penny Nom.
Securing a plank in four dimensions 2001-06-06
From Becca:
If it takes two nails to secure a plank from rotating on a wall in the third spatial dimension, how many nails would it take if you were attempting to secure the board from rotating in the fourth spatial dimension?
Answered by Walter Whiteley.
25 y^2 + 20 y z - 4 z^2 2001-05-15
From Kimmy:
i don't know how to factor the trinomial 25y2 + 20yz - 4z2. I can get it, but i get messed up on getting the minus 4 at the end. all i get is a plus 4. Can it even be factored.
Answered by Penny Nom.
Factoring 2001-03-22
From Kaleena:
Factor this equation: 5x7-10x5+4x3-8x
Answered by Harley Weston.
Difference of squares 2001-02-20
From Janna:
Hi! I was just wondering how you would factor x2 - 9y2.
Answered by Harley Weston.
Factoring 2001-01-24
From Danielle:
4(x+1)2+y(x+1)
Answered by Penny Nom.
Factoring a trinomial 2001-01-24
From Kyle:
I am an eighth grade student.I can not figure out the following problem. 4x2 + 2x - 20
Answered by Leeanne Boehm.
Factoring (u-v)3+v-u 2000-12-15
From A parent:
I am a middle school teacher and a parent. I am snowed in and trying to help my 9th grader get ready for 9 weeks exams. I have tried to factor this problem to no avail. (u-v)^3+v-u. I have the answer but I need to know how it is done.
Answered by Penny Nom.
Vector Problem 2000-11-27
From Ben:
An aircraft can fly 260km/h in still air and the wind is blowing at 70km/h towards the West. In what direction should the aircraft head so that its actual velocity is on a bearing of 030 degrees?
Answered by Harley Weston.
Factoring a cubic 2000-10-31
From A student:
Factor Completely

18p3 - 51p2 - 135p


Answered by Paul Betts and Penny Nom.
Factoring 2000-09-12
From Melissa:
I would like you to help me factor (x 6-y 6) & (a+b)2+3(a+b)-4
Answered by Penny Nom.
Roots of x^2 + 22 x + 112 2000-09-07
From Brian R.:
I need to find the root of the quadratic equation of a square. The problem is x2 + 22x + 112 = 0.
Answered by Penny Nom.
Covering 1, 1/2, 1/3,... 2000-08-22
From Wallace:
Consider the points 1, 1/2, 1/3, ... on the real number line. You are given five small bars, all of length p, which are to be placed on the number line such that all points will be covered. What is the minimum value of p that will allow you to do this?
Answered by Penny Nom.
Factoring trinomials that are squared 2000-04-17
From A student:
I have a question that I really need an answer to. I need help with factoring trinomials that are squared.
Answered by Penny Nom.
Factoring, primes, GCF and LCM 2000-02-27
From Ruth Kroek:
My son is in grade seven, he has to do a Factoring Booklet the areas covered are:
  • Prime #'s
  • Composite #'s
  • Rainbow Factoring
  • Finding Multiples (consecutive multiples)
  • Finding GCF of 2-3 numbers uning Rainbow factoring
  • Finding LCM of 2 numbers using consecutive multiples
  • prime factor trees
  • prime factor ladders
  • finding GCF of 2 numbers using Prime number Method
Although his text 'Math Power' gives some information, we are at a loss ..

Answered by Penny Nom.
Factoring by graphing 2000-01-11
From Dylan Kirkwood:
How can you factor a quadratic equation by graphing it?
Answered by Penny Nom.
Ordering fractions 2000-01-05
From A seventh grader:
I am a middle school student (7th grade) and I was wondering if you could help me with ordering fractions from least to greatest the fractions are 31/12, 2 5/6 and 2 3/4.
Answered by Walter Whiteley.
Factoring ^6 2000-01-03
From Athena:

my name is Athena and I have a question on factoring: how would you figure this out:

(x6-y6) and (x6+y6)


Answered by Penny Nom.
Common factors 1999-10-06
From Tommygirl98:
Ok I have a question about common factoring I'm not to sure if you could help me but it's worth a try here it goes. Ok I have a test on Friday and i'm having trouble understanding how to do it here's an example,

Factor,
-10 + 2b how do you do it and what do they mean by factor?
Answered by Penny Nom.

Repeating decimals 1999-09-18
From Kavoos Bybordi:
I dont know how to change a reccuring decimal to a fraction please could you tell me the method.
Answered by Penny Nom.
Using Factoring in Problem Solving 1999-09-09
From Lori:
I have a problem with a problem. The Problem is....The sum of the squares of two consecutive positive even integers is 340. Find the integers.
Answered by Penny Nom.
A difference of squares problem. 1999-07-24
From Michael and Stephanie Bixler:
If you have the equation x= n2 - m2 (ie 40= 72-32= 49-9) x must = a positive number

1) which squared numbers work as n and m
2) how does it work
3) if my teacher gave me the number for x; how could I figure out this problem
Answered by Harley Weston.

Factoring 1999-03-30
From Maggie Stephens:
I don't know anything about factoring would you plese help me.

3x4 - 48

54x6 + 16y3

125-8x3

12x2 - 36x + 27

9 - 81x2

a3 + b3c3

I would greatly appreciate any help you can give me thanks.
Answered by Jack LeSage.

Factoring polynomials 1999-03-29
From Karen:
I have been unable to factorise a polynomial equation and was wondering if you could please help. It is level (10-12) maths. The polynomial is x3 + x2 - 24x + 36
I have tried a few factorisation methods such as foctorisation by grouping but it won't work this polynomial. Please help.

Answered by Jeff Walters and Jack LeSage.
Factoring 1999-03-08
From L. Sivad:
Question:
m2+6m+9-n2

Answered by Penny Nom.
Difference of squares 1998-06-23
From Kristen Smelsky:
Solve the following using a difference of squares:

4x(squared) minus 4xy plus y(squared) minus m(squared) plus 2m minus 1
Answered by Penny Nom.

The two-digit numbers from 10-99 1998-01-21
From Alexis Riddle:
My name is Alexis. I'm a student in 8th grade and I'm taking Algebra I Honors. My question is: In a string of numbers, two adjacent digits are considered as a two-digit number. For instance, the string 11012 contains the numbers 10, 11, and 12. What is the number of digits in the smallest string that contains all of the two-digit numbers from 10-99? Please help and thank you for any assistance you can give me.
Answered by Penny Nom.
 
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