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	Filling holes with stone dust		2020-07-30
		From Zach: I’m looking for amount of stone dust needed for thirteen holes with a 3ft depth and 12in diameter with a 4x4 post. I would need the measurement in KG. Answered by Harley Weston.
	Running in opposite directions around a circular track		2020-05-11
		From Alessandra: 2. Alan and Brian are two runners. Alan runs at 6.6 m/s and Brian runs at 8.4 m/s. They start from the same place on a circular 400 m track and run in opposite directions round and round the track. (a) How far has Brian run when they pass each other for the first time? (b) After they pass each other for the second time, how much further does Brian need to run in order to complete two laps (800 m)? Answered by Penny Nom.
	Four consecutive positive integers		2019-03-12
		From Nabila: The product of four consecutive positive integers in 24024 What is their sum? Answered by Penny Nom.
	Running around a circular track in opposite directions		2019-02-24
		From carmi: how many times will lita and rose pass each other in 15 minutes if lita and rose start jogging on a 110 meters circular track. they begin at the same point but in opposite direction. lita at 8/3 meters per second and rose at 7/3 meters per second. Answered by Penny Nom.
	Composition of functions		2019-02-24
		From Joshua: Let g(x)=(x)^(2)+x-1 Find such a function f such that (fog)(x)=(x)^(4)+2(x)^(3)-3(x)^(2)-4x+6 Answered by p.
	The domain of f(g(x))		2018-06-18
		From Joshua: What are the restrictions of the domain of f(g(x))? Answered by Penny Nom.
	The inverse square law		2018-06-05
		From Amy: Question about inverse square law ; Hi, I'm trying to understand some nuances about this law and have been reading about it a lot online and trying out some homework for personal interest (hobby ) - not school related. I understand that the simple formula is ; 1/d^2 I was wondering about what appears to be an oddity to me, that I came across when I was working with a test example I found at this link ; http://www.softschools.com/formulas/physics/inverse_square_law_formula/82/ The problem that caught my interest was this one on that page ; "1) If a bright flashlight has a light intensity of 15.0 candela at a distance 1.00 m from the lens, what is the intensity of the flashlight 100.0 m from the lens?" So I have a few different questions about this, but the most important one is, what does it mean if we replace the "1" in ; 1/d^2 with a different value such as a ratio in the form of a decimal value, so instead we have something like this ; 0.75/d^2 ??? Does this ratio represent a curve then? I am thinking that the "1" in the normal formula represents a straight line Some of the links I was researching ; http://wisptools.net/book.php?c=3&s=2 http://www.softschools.com/formulas/physics/inverse_square_law_formula/82/ https://www.nde-ed.org/GeneralResources/Formula/RTFormula/InverseSquare/InverseSquareLaw.htm Answered by Penny Nom.
	mg to ml		2018-05-17
		From Carolynne: I need to convert 12 mg to ml density is 12.5mg/5ml I can give dose of 1mg per pound . My dropper is in ml. How much in ml can I give Answered by Penny Nom.
	Positive and negative values of a function		2018-01-30
		From Grayson: f(x)=x^6-x^4 Interval: ( negative infinity, negative one ) Test Value: negative two Function Value f(x): positive forty eight Interval: ( negative one, zero ) Test Value: negative one Function Value f(x): zero Interval: ( zero, positive one ) Test Value: positive one Function Value f(x): zero Interval: ( positive one, positive infinity ) Test Value: positive two Function Value f(x): positive forty eight What is the sign of f(x) for each Interval? Answered by Penny Nom.
	The mass of a length of tree trunk		2017-11-13
		From SM: What is the mass of a length of 1m of trunk a tree trunk of uniform cross section of area 0.5 sq.m is made of wood of relative density 0.8? Answered by Penny Nom.
	f(x)=-x^2-6x find f(x-2)		2017-10-27
		From Kenneth: f(x)=-x^2-6x find f(x-2) Answered by Penny Nom.
	The composition of a function with itself		2016-07-17
		From Mel: If f(1 + 3x) = 1 * x, solve f(f(x)) 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.
	Filling a hole with 14 tons of rock		2016-04-08
		From Barry: If I had 14 tons of inch and one half sized aggregate rock, how large of a square or rectangular shaped hole would I need to hold that amount? Answered by Penny Nom.
	Travelling in opposite directions		2015-12-06
		From Roselyn: Jenny and Mark commute to work, travelling in opposite directions. Jenny leaves the house at 8 AM, and averages 35 kph. Mark leaves at 8:15 AM, and averages 40 kph.At what time will they be 40 kilometers apart? Answered by Penny Nom.
	The weight of a steel block		2015-04-04
		From Mark: the weight of a steel cube 37 inches X 28 inches X 7 inches Answered by Penny Nom.
	Two consecutive positive integers		2015-03-01
		From meha: Find two consecutive positive integers , sum of whose squares is 365. Answered by Penny Nom.
	A stone is dropped in a lake		2015-02-14
		From Wendy: Hi, I have problems solving this problem. We didn't exactly go over these kind of problems and the book doesn't have an example either. Thank you for your help! A stone is dropped in a lake, creating a circular ripple that travels outward at a speed of 80 cm/s. (a) Find a function g that models the radius as a function of time t. g(t) = (b) Find a function f that models the area of the circle as a function of the radius r. f(r) = (c) Find f compose g. f compose g = Answered by Penny Nom.
	Mutually prime composite numbers		2015-01-09
		From nivedita: Two composite number that is mutually prime? Answered by Penny Nom.
	The density of sea sand		2014-11-02
		From Lenny: Hi There, I need to find out the the density of sea sand to convert one metric ton to cubic meter as I am submitting for a tender which is in cubic meter but the requirement is in metric ton. I searched through the web site but no density of sea sand is given though there is specific Gravity of dry sand is available. I was given a density of 1.6 to work with. If that is true am I right to say that 1 cubic meter of sea sand is equivalent to 1.6 metric ton? Please help as I am getting confused with what I am able to find out on the web. Thanks much in advance Rgds Lenny Answered by Penny Nom.
	Revisiting 8 golfers in two foursomes		2014-08-19
		From steve: I noticed you had an answer on how can you put 8 golfers in even foursomes over 7 games so that everyone plays with everyone equally. However the formula showed the following sequence that was used but did not go past the second day. Can you change the 0s and 1s into the numbers 1 to 8 instead. Here is what you have written: Day 0 : (0, 0, 0, 0, 1, 1, 1, 1) Day 1 : (0, 0, 1, 1, 0, 0, 1, 1) Day 2 : (0, 1, 0, 1, 0, 1, 0, 1) Day 3 : (0, 1, 1, 0, 1, 0, 0, 1) Day 4 : (0, 0, 1, 1, 1, 1, 0, 0) Day 5 : (0, 1, 0, 1, 1, 0, 1, 0) Day 6 : (0, 1, 1, 0, 0, 1, 1, 0) Thank you so much for your anticipated help. Steve Answered by Harley Weston.
	A small solid silver pyramid		2014-06-13
		From Jenesis: For Awards Night at Baddeck High School, the math club is designing small solid silver pyramids.The base of the pyramids will be a 2 in by 2 in square. The pyramids should not weigh more than 2.5 pounds. One cubic foot of silver weighs 655 pounds. What is the maximum height of the pyramids? Answered by Penny Nom.
	The weight of salt in a basket		2014-05-17
		From Sumit: I want to determine how many kg of salt or XYZ thing can be filled in a basket Length = 4.5" Breadth = 5" Height = 6" Even its formulae is kg quantity can be different for semi solid thing Answered by Penny Nom.
	A slab of wet clay		2014-04-12
		From Karen: How many square feet ( at 1/4 inch thickness) are in 100 lbs. of wet clay? Answered by Penny Nom.
	A silver figurine		2013-05-03
		From Renee: I have a silver figurine, the density of silver is 10.5g/cm3. if the figurine weighed 149 g. to determine the volume, he dropped it into a cylindrical glas of water. the diameter of the glass is 6 cm and the figurine was pure silver, by how much should the water level in the glass rise? Answered by Penny Nom.
	The continuity of f(x,y)=ln(x^2+y^2)		2013-02-17
		From anu: the question says we have to find the points in the plane where the function is continuous: f(x,y)=ln(x^2+y^2) . here we aren't given a particular point (x,y) where we have to check a function's continuity. what is to be done if we have to check continuity over the whole domain of the function? please help . Answered by Harley Weston.
	A relation on a collection of sets		2013-02-04
		From raji: suppose R be a non empty relation on a collection of sets defined by ARB if and only if A intersection B is nullset.then.....the correct answer is R is symmetric and not transitive...my doubt is how it is symmetric Answered by Penny Nom.
	The weight of a pipe full of water		2013-01-16
		From joe: how do you figure out the weight of a pipe full of water Answered by Harley Weston.
	Transposition error		2012-12-03
		From Carol: What is the correct term for when a child writes 61 instead of 16, or 83 for 38--when they switch the place values of a number? Answered by Chris Fisher.
	A function problem		2012-11-18
		From nahla: f: IN --> IN n --> f(n) for every n that belongs the IN : fof(x) = 4n - 3 and for every n that belongs to IN f(2^n) = 2^(n+1) -1 Calculate f(993) Answered by Penny Nom.
	A proof by contraposition		2012-10-19
		From Rahul: I am not able to understand the following, To prove that if for all e>0, |x|0, then |x|>=e. I understand the approach very well but I do not understand why if |x|=e then |x|>=e. If it is so then why not |x|= Thanks in advance!' Rahul. Answered by Penny Nom.
	Composition of functions and one to one		2012-10-17
		From Ariana: If f o g are one to one function,does it follow that g is one to one? Give reasons for your answers Answered by Penny Nom.
	The position of an aircraft relative to the airport		2012-06-08
		From Dennis: "Air traffic controllers usually describe the position of an aircraft relative to the airport by altitude, horizontal distance, and bearing.  Suppose an aircraft is at altitude 500m, distance 15km, and bearing 35 degrees east of north.  What are the x,y, and z components (in meters) of the position vector. The x-axis is east, the y-axis is north and the z-axis is vertical. Answered by Penny Nom.
	A uniform probability density function		2012-03-26
		From Noeline: The label on a bottle of liquid detergent shows contents to be 12 ounces per bottle. The production operation fills the bottle uniformly according to the following probability density function: f(x) = 8 for 11.975 ≤ x ≤12.10 and f(x) = 0 elsewhere a. What is the probability that a bottle will be filled with 12.02 or more ounces? b. What is the probability that a bottle will be filled between 12 and 12.05 ounces? c. Quality control accepts production that is within .002 ounces of number of ounces shown on the container label. What is the probability that a bottle of this liquid detergent will fail to meet the quality control standard? Answered by Penny Nom.
	One acre of dirt 6 inches deep		2012-01-11
		From Cameron: Ok what im wanting to know is how many pounds of dirt are in 80 acres of land that is 6 inches deep? My friend and I are stumped on this question Answered by Penny Nom.
	Limits and composition		2011-12-30
		From Rahul: I want to know about limit proofs of composite functions. Like limit of log of a function equals log of limit of the function Answered by Penny Nom.
	The weight of 36 inch steel pipe		2011-12-22
		From Keith: What is the weight of 36 inch steel pipe 3/4 wall per foot in lbs. Answered by Penny Nom.
	The LCM of 6,15 and x is 90		2011-10-30
		From Richie: Hi there, There are 2 parts to the question. #1. Factorise 90. This is easy, 90=2x3x3x5 #2 LCM of 6,15 and x is 90. What are possible values of x if x is odd? From #1, since 90=6x15, how can this be used to work out possible values of x? Thanks in advance, Richie Answered by Penny Nom.
	Composition of functions		2011-09-05
		From Jenna: Let f(x)=x^2-1 and g(x)=1-2x. Find the indicated values. 1. f(g(1)) and g(f(1)) Thanks, Jenna Answered by Penny Nom.
	The mass of a metal box		2011-03-11
		From Pamela: A metal block has the dimensions of 3.16 inches wide, 2.15 inches high, 4.98 inches long. What is the volume of the block in cm^3? What is the block's mass if the metal has a density of 5.89g/cm^3. Answered by Robert Dawson.
	The weight of a tank		2011-01-11
		From tom: A tank, open at the top is made up of thin sheet iron 1in. thick. The internal dimensions of the tank are 4 ft. 8in. in long ;3 ft. 6 in.in wide ;4ft 4 in. in deep Find the weight of the tank when empty, and find the weight when full of salt water. (Salt water weighs 64 lbs. per cu. ft., and iron is 7.2 times as heavy as salt water) Answered by Harley Weston.
	How many gallons of water will it take to fill a classroom?		2010-12-01
		From deena: How many gallons of water will it take to fill a classroom that is 26 feet long by 19 feet wide and 9 feet high? How many tons of water will that be? Answered by Stephen La Rocque.
	The weight of some dirt		2010-11-03
		From Maggie: I am wanting to know how many tons of dirt we r going to need to fill a basement. The measurements we r going with r 15ftx15ftx8ft. Answered by Penny Nom.
	Disposing of some concrete		2010-08-12
		From Kathy: We are needing to dispose of concrete that we are tearing out of our backyard and I need to figure the dimensions and weight. I figured we have approx. 419 sq ft of concrete at 4" thick. Could you tell me the how much that comes to in cubic ft, cubic yards and weight. So I can get some estimates on pricing to haul off and dispose of. thank you Answered by Harley Weston and Tyler Wood.
	70 cubic meters of mulch		2010-07-30
		From zsuzsi: i have 70 cubic meters of mulch to move and an 8 tonne truck to use how much tonnage is to 1 square meter so that i can work out how many trips i need to make Answered by Penny Nom.
	The tonnage of some gravel		2010-07-22
		From Gregory: i have a road that is 8 miles long 20 feet wide and 4 inches deep what is the tonnage for gravel i would need Answered by Penny Nom.
	The test for some disease is 99% accurate		2010-02-24
		From baaba: Assume that the test for some disease is 99% accurate. If somebody tests positive for that disease, is there a 99% chance that they have the disease? Answered by Chris Fisher.
	4-digit positive numbers		2010-02-15
		From marjon: Find the sum of all the 4-digit positive numbers with no zero digit. Answered by Penny Nom.
	The intervals where the function is positive and negative		2010-01-10
		From Ron: Hello I'm trying to find out the intervals where the function is positive and negative. It's for a polynomial function y= -(x+2)^2 (x-2) and y= (x+1)(x+4)(x-3) I have tried the right and left side of each x-intercepts, but I still don't understand the results thank you for your help Answered by Penny Nom.
	Finding Density Given Volumetric Thermal Expansion Coefficient		2009-12-26
		From florence: Hi- Please help me to apply the formula for this problem. The coefficient of volumetric for gold is 4.20 X 10^-5 C degrees. The density of gold is 19,300 kg/m^3 at 0.9 C degrees. What is the density of gold at 1050 degrees C. Could you please explain how to get the solution of 18,500 kg/m^3 Thank you for your help Florence Answered by Janice Cotcher.
	A number base that's not a positive integer		2009-12-11
		From Nick: Is it possible for a number to have a base that's not a positive integer? Base 1 gives a result that's meaningless but possible. I have no concept of a base 0, a negative base, or a fractional base, never mind any other base. I think there isn't any base that's not a positive integer, but, knowing that math keeps jumping ahead and sometimes has inventions before anyone knows how to exploit them, I think I'd better ask. Thank you. Nick Answered by Robert Dawson and Claude Tardif.
	Density of dirt and gravel		2009-10-26
		From ken: if digging a load of dirt and gravel in mining how many yards of material to the ton thanks Answered by Penny Nom.
	Sawdust		2009-09-29
		From joel: What is the density of saw dust Answered by Harley Weston.
	Gravel in an aquarium		2009-08-09
		From Bev: Hi...I worked this part out, but want to know how many kilograms of gravel I will need...thanks Bev Cylinder shape. A cylindrical shape that has a radius of 82 centimeters and a depth of 7 centimeters has a volume of: Volume = 0.14787 cubic meters = 147870 cubic centimeters = 0.1934 cubic yards = 5.2219 cubic feet = 9023.5 cubic inches = 39.063 U.S. gallons = 147.87 liters * calculations accurate to 5 decimal places of precision Answered by Harley Weston.
	Cubic meters of gravel in a 7 ton lorry		2009-06-21
		From Jackie: I have to transport gravel in a 7 ton lorry and I know how many cubic meters of gravel I need, but I need to know how many cubic meters of gravel a 7 ton lorry can hold. Thanks, Jackie Answered by Penny Nom.
	Percent increase from a negative number to a positive number		2009-04-21
		From Brian: I have no problem calculating year over year net profits but am having trouble when it comes to a negative. 2007 Net Profit = -110,333.00 2008 Net Profit = 66,054.00 Brian Answered by Harley Weston.
	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.
	The amount of material remaining on a reel		2009-03-04
		From James: Question from james: I am after a standard calculation so that after each usage of the Reel I can get the Remaining Quantity in kilos left on the roll below is an example of roll THICKNESS: 30 MICRON REEL WIDTH: 7.5 CM REEL DIAMETER: 76 CM REEL WEIGHT: 7.13 KILOS The core centre has a 9cm diameter, the weight of the roll is excluding the core , and after each use the diameter of the role is measured. I am a factory supervisor working on project and need this calculation info for template.. Thanks James Answered by Harley Weston.
	Pressure at Given Depth		2009-02-22
		From Tamara: A sea is 3km deep. The average density of sea water there is 1020 kg/m^3. What is the water pressure at the bottom? Answered by Janice Cotcher.
	The volume of a yogurt pot		2008-12-04
		From Robyn: Okay, I know you have some answers on converting this already, but I can not convert the yoghurt pot I need yet into ml. Is there some way to explain this using the yoghurt as an example? The pot's 150g of lowfat strawberry yoghurt... would the 'low-fat' have an effect on this? I'm sorry if this is a bother for you to answer, I just don't seem to be able to get it... Have a nice day. - Robyn Answered by Janice Cotcher and Penny Nom.
	A product of positive and negative numbers		2008-10-03
		From kaylou: Suppose you were given 13 numbers and asked to find their product. Seven of the numbers were positive, and the rest were negative. Would your product be positive or negative? Why? Answered by Penny Nom.
	The weight of a concrete cylinder		2008-09-18
		From Curtis: I am trying to calculate the weight of a concrete cylinder. The diameter is 56" and the thickness or depth is 24". Can anyone help me? If possible I would like to see the formula as to how the answer was derived. Thank you Answered by Harley Weston.
	557 mL of benzaldehyde		2008-08-28
		From Kara: Calculate the mass of 557 mL of benzaldehyde. The density of benzaldehyde is 1.04 g/mL. Answered by Penny Nom.
	Right Sided Limit of an Exponential Function		2008-07-29
		From joseph: I am trying to find the limit as X approaches 0 from the positive side of x to the sin of x which look like this lim x^sinx x->0+ Answered by Harley Weston.
	Three consecutive positive integers		2008-07-20
		From AC: find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 4 times the third Answered by Penny Nom.
	Neither prime nor composite		2008-07-08
		From saloni: Give the counting number which is neither prime nor composite ? Answered by Penny Nom.
	Composition of two functions		2008-07-04
		From Kristian: f(x)= the square of x add to 1 and g(x)=1/x find: (f o g)x Answered by Penny Nom.
	The weight of concrete		2008-06-11
		From Daniel: I need to calculate the weight of Concrete in a slab that measures 2' x 4' x 4" thick. I am pricing out a job and have two different size stones to work with, the second stone measures 2' x 2' x 4". Answered by Harley Weston.
	.5 cu ft of sand to lbs.		2008-05-25
		From rogersimmons: needtocovert .5 cu ft. of sand into lbs. Answered by Penny Nom.
	Volume/weight of a salt shedweight		2008-05-21
		From James: How do I find the volume/weight of a salt shed. I have a 3000 ton barn, I need a better way of finding how much salt to order as it gets used. I know how to calculate volume, how do i get tonnage from there?? Answered by Harley Weston.
	The weight of a concrete column		2008-05-11
		From russell: a cylindrical form is filled with a slow curing concrete. The base of the form is 10 ft in radius, and height is 25 ft. while the concrete hardens, gravity causes the density to vary from a density of 90 lbs/ft^3 at the bottom to a density of 50 lb/ft^3 at the top. Assume that the density varies linearly from the top to the bottom, and compute the total weight of the resulting concrete column Answered by Harley Weston.
	Converting metric density		2008-04-28
		From Hilary: 10g/100ml=?g/?l 52g/100ml=?g/?l 65g/100ml=?g/?l 100g/100ml=?g/?l 137g/100ml=?g/?l 0.15g/100ml=?g/?l Answered by Penny Nom.
	A 13 cubic foot cylinder filled with sand		2008-04-12
		From Thomas: I have a 100 pound bag of sand. I need to know how much sand I will need to fill a 13 cubic foot cylinder Answered by Harley Weston.
	The weight of 1 litre of milk		2008-04-07
		From IMRAN: WHAT WEIGHT IN KILOGRAMS DOES 1 LITRE OF MILK HAVE? Answered by Penny Nom.
	Composition of functions: feet, inches and yards		2008-04-05
		From Coya: write a function f(x) that converts feet to inches.Now write a function g(x) that converts yards to feet. Explain what the composite function f(g(x)) means. Then evaluate f(g(x)) for x = 3,6, and 9. Answered by Stephen La Rocque.
	A car tire full of concrete		2008-03-27
		From robert: I want to build a volleyball net support. I am using a car tire 24"odx16"id filled with concrete. how much will this weigh? thanks Answered by Penny Nom.
	A ton of carbon dioxide		2008-03-11
		From claire: I want to know the size of a box if it contained a ton of Co2? Answered by Stephen La Rocque.
	Composition of functions		2008-03-07
		From sharon: Find FoG(x) F(x)= the square root of x-9 G(x)= x^2 and also find GoF and their domains Answered by Penny Nom.
	Why is the number 1 neither prime nor composite?		2008-02-07
		From ronni: why is the number 1 neither prime nor composite? Answered by Harley Weston.
	Bubbles trapped in the volumetric pipet		2008-01-31
		From Nursing: In determining the density of a liquid, a student left air bubbles trapped in the volumetric pipet. Did this give a density less than expected or greater than expected? Why? Answered by Penny Nom.
	The volume of a tank		2008-01-27
		From Fred: A cubic tank holds 1,000 kilograms of water what are the dimensions of the tank in meters? Answered by Harley Weston.
	Converting mg's to cc's		2008-01-17
		From sandy: i need to find out how to convert mg's to cc's i need to give 10 mg of liquid and 5 mg of liquid and i only have a dropper that measures cc's please help Answered by Stephen La Rocque and Harley Weston.
	Transformations and compositions		2007-11-29
		From mary: Is there any possible relationship between composite functions and the concept of function transformations? Answered by Harley Weston.
	Density		2007-11-29
		From jessuca: what is the density for 40g / 2 mL Answered by Penny Nom.
	I know it's heavy, but how heavy, per linear foot?		2007-11-19
		From Gary: I am trying to find out the weight of a linear foot of a steel bar with the following measurements. Thickness - 1.125" Length - 120" Height - 18" Density of carbon steel - .2837 I know it's heavy, but how heavy, per linear foot? Answered by Stephen La Rocque.
	A mole of hydrogen peroxide		2007-11-11
		From John: i need to get a mole of hydrogen peroxide, which i know is 34g, but i don't have a way to measure grams, so do you know how many mililiters i need to have 34g of hydrogen peroxide. Thanks for all the help Answered by Stephen La Rocque.
	How do i convert milliliters to grams for water and also for copper sulfate (CuSO4)?		2007-11-11
		From jenn: how do i convert milliliters to grams for water and also for copper sulfate (CuSO4)? Answered by Harley Weston.
	Why is the number 1 neither prime nor composite?		2007-11-08
		From amarilis: why is the number 1 neither prime nor composite? Answered by Penny Nom.
	Density		2007-10-30
		From Ali: Would an object sink or float in pure water if it has a mass of 10g and a volume of 5 cubic centimeters? 314 Answered by Stephen La Rocque.
	How many tons of asphalt are in 12 cubic yards?		2007-10-15
		From Matthew: I want to know how many tons of asphalt are in 12 cubic yards? Answered by Penny Nom.
	Motion along a line		2007-10-02
		From Claudette: If the position function of a particle is x(t) = sin^2(2t), find the distance that the particle travels from t = 0 to t = 2 Answered by Harley Weston.
	A 3 ounce piece of gold		2007-09-24
		From Helen: What would the volume (in mL) of a 3 ounce piece of gold be? 16oz= 1lb 1lb= 454oz. first i converted 3oz to lbs and then to grams to get the mass. i got 85.125 g. now i don't know how to get the density to get to the volume. Answered by Stephen La Rocque.
	Volume, mass and density		2007-09-14
		From Nathan: I have a sample of material that is 10cmx10cmx5cm and has a mass of 29 grams. How many grams would a sample of the same material that was 96cmx188cmx5cm be? Answered by Penny Nom.
	How much stone will be needed to fill the trench?		2007-09-14
		From Debbie: A trench 100metres long 1ft wide*18inches deep with a 4inch pipe laid. How much stone will be needed to fill the trench. How much weight in stone would I need to fill it? Answered by Penny Nom and Victoria West.
	Is it platinum or silver?		2007-09-14
		From Jordan: In Chemistry we are doing a lot of problems that are much more math related than anything. One of my questions reads: A certain medallion has a mass of 55.64 g. When placed in 75.2 mL of water in a graduated cylinder, the water level rises and then reads 77.8 mL. Is the medallion made of platinum (D=21.4 g/mL) or silver (D= 10.5 g/mL)? Answered by Penny Nom.
	Composite angles		2007-09-13
		From Gilbert: what is a composite angle? please help Answered by Stephen La Rocque.
	What was the water level in the cylinder?		2007-09-11
		From glen: After a 5.63-g sample of Wood's metal has been added to the water in a 10-mL graduated cylinder, the new water level is 8.7mL. What was the water level in the cylinder before the sample was added? Answered by Stephen la Rocque.
	Grams of vodka		2007-07-10
		From Andrew: milliliters to grams..vodka 80 proof? Answered by Stephen La Rocque.
	Derivative of a Function		2007-07-09
		From Bob: What is the derivative of the function a sub n = [n/(n+1)]^n ? Answered by Stephen La Rocque.
	Tons of concrete		2007-07-03
		From Trey: I have 300,000 square feet of concrete and want to know how to convert this to tons? Answered by Harley Weston.
	How do I convert milliliters(powder form) to grams?		2007-06-28
		From ed: How do I convert milliliters(powder form) to grams Answered by Harley Weston.
	How many tons of sand?		2007-06-19
		From Richard: I need to know how many tons of sand it would take to fill a container 20 feet long, 20 feet wide, and 6 inches deep. I am not sure of the makeup of the sand as far as dry, loose, wet, etc. If you could give me calculations of all the variants it would be appreciated. Answered by Stephen La Rocque and Penny Nom.
	The composition of functions		2007-06-14
		From Gilligan: Question from Gilligan, a student: Let f(x) = x^2, g(x) = 3x and h(x) = (sqrt{x}) + 1. Express each function as a composite of f, g and/or h. (1) p(x) = 3(sqrt{x}) + 3 (2) Q(x) = (sqrt(sqrt{x}) + 1}) + 1 Answered by Penny Nom.
	Composition functions		2007-06-12
		From Gilligan: Find functions f and g so that f(g(x)) = H. (1) H(x) = (1 + x^2)^(3/2) (2) H(x) = int(x^2 + 1) I don't know where to start. Answered by Stephen La Rocque.
	The number of grams of sulfuric acid		2007-05-31
		From cookie: Hi, Can you please let me know if I've done this correctly? Calculate the number of grams of sulfuric acid in 0.500L of battery acid if the solution has a density of 1.28 g/mL and is 38.1% sulfuric acid by mass. Answered by Stephen La Rocque.
	How many tons of dirt is this?		2007-05-23
		From Deb: I need to know how many tons of dirt(6 inches deep)would it take to cover 8 acres? Answered by Stephen La Rocque.
	Converting mass of sand to volume (a sand ceremony)		2007-05-21
		From Linda: I'm getting married. We are having a sand ceremony. The empty bottle we are using holds 800ml. I have bags of colored sand. Each bag is 30g. There is 7 people participating in this ceremony. What I need to find out is how many grams of sand i need for 7 people to participate to fill this jar. Answered by Penny Nom.
	A ton of sawdust		2007-05-10
		From David: I am trying to do a conversion. A tractor trailer is loaded with 165 cubic yards of sawdust (I do not know the actual weight). I knw the wholesale cost as $1,000 for this amount, but would like to convert this to find out what the equivalent cost for a metric ton would be. Answered by Stephen La Rocque.
	Probability of H.I.V. tests		2007-05-07
		From Danielle: A medical test detects H.I.V. Among those who have H.I.V., the test will detect the disease with probability 0.95; among those who do NOT have H.I.V., the test will falsely claim that H.I.V. is present with probability 0.0125. Among those who take this test, 4% have H.I.V. The test is given to Lucille, and indicates that she has H.I.V. What is the probability that Lucille actually has H.I.V.? Answered by Stephen La Rocque.
	How many tons of sand is needed		2007-04-25
		From Jennifer: How many tons of sand is needed to cover 350 cubic square feet? Answered by Penny Nom.
	How can I convert milliliters to grams?		2007-04-18
		From April: What if I'm using cow's milk, how can I convert milliliters to grams? Answered by Stephen La Rocque.
	Yards of sand in a ton		2007-04-09
		From Teresa: how many yards of sand are in a ton and how many yards of limestone does it take to make a ton Answered by Penny Nom.
	What is the intensity 5m below the surface?		2007-03-31
		From david: I have this question which I am supposed to set it up and solve as a differential equation. I know how to solve the diffrential equation but I am having hard time understanding this question. Here is the question: The intensity of light in the ocean decreases the deeper you dive. In fact, the rate at which the intensity decreases is proportional to the current intensity. Setup the corresponding differential equation and solve for I(Y), the intensity I as a function of current intensity Y. If the light intensity 2m below the surface is 25% of the intensity at the surface, what is the intensity 5m below the surface. Can you please explain to me what does it mean by current intensity and how do I set this equation up. Thanks for the help. Answered by Penny Nom.
	Factoring a trinomial		2007-03-27
		From Kim: Hi, could you please help me solve this. 3x(squared) +20x - 7 Answered by Leeanne Boehm.
	Concrete sand		2007-03-08
		From david: Can you tell me how much 4 cubic yards of concrete sand ways in tons? THANK YOU. Answered by Stephen La Rocque.
	Centimeters to cubic meters and grams to kilograms		2007-02-14
		From Colleen: A box of balls measures 120cm by 20cm by 20cm and weighs 48 g. One thousand boxes = x cubic meters and weighs x kilograms. Also, one million boxes = x cubic metes and weighs x kilograms. One billion boxes = x cubic meters and weighs x kilograms. Solve for x. Answered by Stephen La Rocque.
	Density		2007-02-09
		From Judy: How do I calculate the mass in grams of 125mL of chloroform when d=1.49g/mL. Answered by Stephen La Rocque.
	The density of an irregular wooden block		2007-01-30
		From Carlos: I'm trying to help my son but I don't really have too much knowledge about this topic. he is been asked to convert 10 milliliter to gram, I think that since 1 g = 1ml the answer will be 10 g also there is another question of how of the density of an irregular wooden block is affected if: a) the center is hollow: b) the block is not completely submerged when determining the volume. Answered by Stephen La Rocque and Penny Nom.
	Why zero is neither prime nor composite?		2007-01-17
		From Brenda: Why zero is neither prime nor composite? Answered by Penny Nom.
	I want to convert milliliters into grams.		2006-12-14
		From Kenchotenzin : I want to convert milliliters into grams. Answered by Penny Nom.
	What is the diameter of the planet?		2006-12-07
		From Niall: In April 2005, scientists claimed to have captured light from an extrasolar planet orbiting a brown dwarf in the constellation Hydra some 230 light-years from Earth. The scientists believe the planet is about five times the mass of Jupiter. Assume the planet has the same density as Jupiter. What is the diameter of the planet? Answered by Stephen La Rocque.
	solve;		2006-11-28
		From Monique: solve; f(f(x)) = 2x + 4 ; if f(x) = 1 Answered by Penny Nom.
	Composition of functions		2006-11-19
		From RJ: Let f0(x) = 2/2-x and fn+1 = f0 o fn for n greater than or equal to 0. Find a formula for fn and prove it by mathematical induction. Recall that o represents function composition. i.e., (f o g)(x) = f(g(x)). Answered by Stephen La Rocque.
	Composition of functions		2006-11-18
		From Oryan: Given f(x)=-2x^3 and g(x)-4x-5, find g(f(-1)) Answered by Stephen La Rocque.
	Two problems involving density		2006-10-06
		From Patricia: 1. Nick has to ship 650,000 g of substance A to Singapore. The density of substance A is 3.23g/cm^3. If the delivery charge is 0.25 centavo per cm^3,how much does he need to pay? 2.Ann ordered 150 balloons for a birthday. Each balloon has a radius of 20cm. If the density of helium is 0.124g/cm^3,how many grams of helium is needed to meet the order? Answered by Stephen La Rocque.
	How much does 1300cc of liquid weigh?		2006-04-28
		From Debra: How much does 1300cc of liquid weigh, and how is the formula equated? Answered by Stephen La Rocque.
	How much money can I borrow if I have $5 000 for a deposit?		2006-04-19
		From Chris: I have a sum of cash that I want to use as a deposit ($ 5 000) and a lender will lend me 65% of the purchase price. How do I calculate the maximum value I can borrow? Answered by Stephen La Rocque.
	A proof by contraposition		2006-03-16
		From Eban: 1)by mathematical induction prove that 12 + 32 + 52 + ...... + (2k-1)2 = (1/3)k(2k-1)(2k+1) for all positive integers k. 2)show that the contrapositive of the following statement is true. if 1 + M7 is even, then M is odd. Answered by Stephen La Rocque.
	An account that earns 6% annually		2006-03-01
		From Christine: How much do you have to deposit to an account that earns 6% annually if you want to earn $1200 on the account? Answered by Stephen La Rocque.
	Percentage increase in sound intensity		2006-01-29
		From David: I am doing some emotion response mapping. Being a composer I know how to push the heart beat tempo by a % increase of BPM in my music. I want to know how to calculate an increase in intensity of sound. Now I have 60 decibels. I want an increase of intensity by a factor n% with out going over 156 decibels. Answered by Penny Nom.
	Composite triples		2006-01-24
		From Laeah: question 1 Find the smallest integer n such that n+1, n+2,and n+3 are all composites. question 2 If n = 5! +1, show that n+1, n+2, and n+3 are all composite. question 3 Find the sequence of 1000 consecutive composite numbers. Answered by Penny Nom.
	I need to order sand for playgrounds		2006-01-18
		From Jody: I need to order sand for playgrounds. I have their square footage and the various depths of sand needed for each, but sand comes in tons. What is the formula for converting square footage and depth to tons (for example: 6 inches of sand needed for a 200sq ft area = how many tons?) Answered by Penny Nom.
	fog		2005-11-12
		From Janice: I am having problem with the (fog) function (fog) (x). Given f(x)= 2x2 ; g(x)= 3-4x Answered by Penny Nom.
	Whole numbers		2005-10-10
		From Kirk: Can the sum of two or more whole numbers be less than any of those numbers? Answered by Penny Nom.
	Adding positive and negative numbers		2005-09-03
		From Billy: 46 + -24 = -38 + -22 = 19 - 20 = Answered by Penny Nom.
	Spraying roses		2005-03-03
		From A student: A litre and a half of water has 0.045 grams of herbicide added for spraying roses. How many grams of herbicide per litre is this? Answered by Penny Nom.
	A seating arrangement		2005-02-03
		From Kay: If you have 5 married couples, how many arrangements can be made if they must sit across from each other? Answered by Penny Nom.
	Strategies for teaching operations with positive and negative decimal numbers		2005-02-02
		From Erin: I am wondering if you can suggest any strategies for teaching operations with positive and negative decimal numbers that do not rely on rules that must be memorized? Answered by Diane Hanson.
	An isosceles triangle		2005-01-03
		From Abraham: The question is,"Triangle ABC is not isosceles.Prove that if altitude BD were drawn, it would not bisect AC."My question is If an altitude is drawn wouldn\'t that mean automatically its isosceles because, In a triangle the sides opposite congruent angles(in this case the right angles)are congruent? What am I thinking wrong? Answered by Harley Weston.
	1/4 tsp salt = ??? grams		2004-11-16
		From Julie: if i have 1/4 teaspoon of salt how many grams does that equal Answered by Penny Nom.
	Visitor wins or home wins		2004-09-29
		From Paavn and Laddi: I have a math question i am stumped on for one of my classes. The question states that there are 14 baseball games with 2 possible outcomes for each game, visitor win or home win. How many different total combinations are possible from the 14 games? Answered by Penny Nom.
	Pizza for Jack?		2004-09-16
		From Grace: Jack is playing pool with Jim for $1 a game. He has only $2 and decides to play until he goes broke or has $5, at which point he will quit and go out for a pizza with Jim(Dutch treat). Jack knows from past experience that he beats Jim 60% of the time. What is the probability that Jack will get to eat pizza? Hints: Let A be the 6x6 matrix defined by A=[aij], where aij is the probability that Jack will have $(i-1)after one game is he starts with $(j-1). For example, a23 - .40 since there is a 40% probability that Jack will end up with $1 after a game is he starts the game with $2 (If Jack wins 605 of the time, he must lose 40% of the time). Also, for example, a52 = 0 since there is no way jack can have $4 after one game if he had $1 at the beginning of the game. Since Jack will stop if he goes broke or accumulates $5, a11 and a66 are both 1. Let x0 = [0 0 1 0 0 0 ] transposed, which we interpret as saying that initially Jack has $2 with a probability 1. Then Ax0 will represent the porbability of each amount of money, $0-$5, after one game. What is the probability that Jack will be able to eat pizza by computing Akx0 for large k and finding a limiting value. Answered by Penny Nom.
	Limits and composite functions		2004-08-07
		From Sue: I have two questions, one about a limit and the other about a composite function. If you could help me, I'd really appreciate it. 1. Find the limit: lim[x->0] (x*csc(x)) I converted csc(x) to cos(x)/sin(x), but I didn't know what to do after that. 2. f(g(x)) = ln(x^2 + 4), f(x) = ln(x^2) and g(x) > 0 for all real x, find g(x): I'm having trouble with this one because x^2 + 4 isn't a perfect square. --Sue Answered by Penny Nom.
	The sum of some positive integers		2004-06-07
		From A student: Find the sum of all positive integers not greater than 10000 that are divisible by neither 3 nor 7. Answered by Penny Nom.
	A probability density function		2004-04-14
		From A student: The label on a bottle of liquid detergent shows contents to be 12 ounces per bottle. The production operation fills the bottle uniformly according to the following probability density function: f(x) = 8 for 11.975 <= x <= 12.10 and f(x) = 0 elsewhere a. What is the probability that a bottle will be filled with 12.02 or more ounces? b. What is the probability that a bottle will be filled between 12 and 12.05 ounces? c. Quality control accepts production that is within .002 ounces of number of ounces shown on the container label. What is the probability that a bottle of this liquid detergent will fail to meet the quality control standard? Answered by Penny Nom.
	A snowball melts		2003-12-11
		From Adam: A spherical snowball has diameter 10cm and density 0.75g/cm3. It is placed in a cylindrical can with diameer 12cm. After the snow melts it turns to water with density 1.0g/cm3. What will be the depth of the water in the can (to 1 decimal place)? Answered by Penny Nom.
	A fish tank		2003-11-26
		From Bill: How do I work out the volume and weight of water in a fish tank that is 36in x 14in x 12in? Answered by Penny Nom.
	If 1 is neither prime nor composite...		2003-11-19
		From Joshua: if 1 is neither prime nor composite...what is it called? Answered by Claude Tardif and Penny Nom.
	If 1 is neither prime nor composite...		2003-11-19
		From Joshua: if 1 is neither prime nor composite...what is it called? Answered by Claude Tardif and Penny Nom.
	Making a square		2003-09-07
		From A student: if I am given any number (say 80 for example), how may I determine the smallest whole number integer which when multipled by it will yield a square number ? In other words if I express this as: 80Ý*ÝnÝ=ÝsquareÝnumber, what is the least value of n which will yield a square. Answered by Penny Nom.
	Positive, negative and zero		2003-09-04
		From Brian: Can the Value of zero be positive or can it be negative or can it be both. Answered by Penny Nom.
	Density		2003-02-19
		From Rob: What is the formula for converting cubic feet to pounds? (with any substance) Answered by Penny Nom.
	Three consecutive positive intergers		2003-02-09
		From Yew: Prove that when we multiply any consecutive positive intergers, the result is always divisible by 6. ex. (7)(8)(9) = 504 = 6 (84) Answered by Penny Nom.
	Composites, primes, factors and common factors		2002-11-20
		From Connie: My son can't remember what a composite number is, what a prime number is and the explaination of factors and common factors. Help! Answered by Penny Nom.
	n +1, n+2, n+3, and n+4 are all composite		2002-04-09
		From Jonathan: Find the small integer n such that n +1, n+2, n+3, and n+4 are all composite Answered by Penny Nom.
	Composition of functions		2002-04-06
		From Yvonne: In our new text book, the following question occurs: State the domain and range of g(f(x))given that f(x) = -x2 - 4 and g(x) = sqrt(x) The range of f(x), x<=-4, is the domain of g(x). BUT, there is no solution in the Real numbers for g(f(x))= sqrt(-x2 - 4). In the solutions it says that this is not a function and therefore does not have a domain or range. Is it a relation? Is it anything? Answered by Claude Tardif.
	Baseball and sit ups		2002-01-31
		From A student: A baseball team won 8 more games than it lost. If it played 56 games, how many games did it win? On the first day of practice, Paul did 3 sit ups. On the second day he did 5, and on the the third day he did 8, and on the fourth day he did 12. If this pattern continued, how many sit-ups did ihe do on the sixth day of practice? Answered by Penny Nom.
	Composition of functions		2001-12-16
		From Paula: if f(x)= 3x-1 and g(x)= 1/2x + 3 find fog(2) find the values of x for which tanx=0 Answered by Penny Nom.
	Negative times negative is positive		2001-10-26
		From Mary: I have a question about adding and multiplying positive and negative numbers. When we add two negative numbers the answer is negative BUT when we multiply two negative numbers the answer is positive. I don't understand. Why? Answered by Penny Nom.
	Marginal Propensity to Consume		2001-05-09
		From Esther: The derivative of the national consumption function C = f(y) is called the ____________________. Answered by Judi McDonald.
	Neither prime nor composite		2001-05-08
		From Marc: what 2 numbers are neither prime nor combitative? Answered by Penny Nom.
	A sequence of even terms		2001-04-29
		From A student: A sequence c is defined recursively as follows: c0 = 2 c1 = 4 c2 = 6 ck= 5ck-3 for all integers Prove that cn is even for all integers. Answered by Leeanne Boehm and Penny Nom.
	An order relation		2001-02-12
		From Amy: What is an order relation? Answered by Claude Tardif.
	The city transit system		2001-01-07
		From Jacky: The city transit system carries an average of 9450 bus riders a day, for a fare of $1.75 each. The city wants to reduce car pollution by increasing ridership and to maximize the transit system's revenue at the same time. A survey indicates that the number of riders will increase by 150 for every $0.05 decrease in fare. Answered by Harley Weston.
	False Positives		2000-10-29
		From James: A rare disease infected 1 in 1000 people in the population. A test for the disease is accurate 99% of the time when given to an infected person and also when given to a heathy person. Fill out a two-tier tree diagram and find the probability of the false positive(i.e the conditional probabily of being healty even when tested postive by the test) Comment on the result? ... Answered by Penny Nom.
	LOG(LN(x)) = 1		2000-07-28
		From An algebra student: LET F(x)=LOG X AND G(x)= LN X. SOLVE (f *G)(x)= 1 SHOW COMPOSITION AND USE DEFINITION OF LOGS. Answered by Harley Weston.
	(mn + m + n)/(m^2 + n^2) = 1		2000-07-24
		From William: Find all pair of positive integers m and n such that mn + m + n divides m2 + n2 = 1. Answered by Peny Nom.
	Natural numbers		2000-04-12
		From Sara: What is a natural number??? Answered by Penny Nom.
	Mass of the earth		2000-02-21
		From Terry Broughton: My name is terry i am 15 my question is how much does our planet earth weigh ? Answered by Chris Fisher and Harley Weston.
	Whole numbers		1999-12-02
		From Patty: I'm in a 5th grade class, please explaine what whole numbers are..... Answered by Penny Nom.
	Who is right		1999-09-04
		From rf, k, p and uncle a: Good morning. Could you please, help us resolve and by the way, confirm "who is right"... regarding the solution of this problem: - a piece of metal is 6 in. wide by 2 in. in height and weights 500 pounds... - what is the weight of a piece made of same metal, 5 in. wide by 1 3/4 in in height? Could you please supply the "formula". Regards, rf, k, p and uncle a. Answered by Penny Nom.
	Is zero positive?		1999-09-03
		From Shah: Is zero a positive integer? Answered by Penny Nom.
	Division by a negative		1999-08-19
		From Sangeeta B.: 56/-8 Answered by Penny Nom.
	Composite Numbers		1998-10-07
		From Greg Murphy: What type of composite number has an odd number of factors? Answered by Harley Weston.
	How do you find out if a number is a composite or prime?		1996-09-16
		From Trish Feenstra: Hi my name is Trish Feenstra. In grade 8. How do you find out if a number is a composite or prime if it is big like 37 529? Reply soon got a test on Friday the 13th Answered by Denis Hanson.

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