97 articles trouvés pour ce sujet.
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Fibonacci numbers |
2021-08-25 |
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John pose la question :
Make a single column of numbers. Start with two numbers of your choice.
The third number is the sum of the previous two, the fourth number is the sum of
numbers two and three, and so on until
you have ten numbers in the column. Add up all ten numbers. Now, take the
seventh number and multiply it by eleven. This product will equal the sum of the
ten numbers. The same result will occur regardless of the first two numbers
chosen.
The question is why does the 7th number multiplied by 11 always equal the sum of
the ten numbers?
Penny Nom lui répond. |
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Velocity and acceleration |
2021-01-09 |
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yen pose la question :
The motion of a stone projected upward is given by the relation s=112t - 16t^2.
What are the values of velocity and acceleration when t=3 sec?
Penny Nom lui répond. |
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9 games with 3 possible outcomes |
2020-09-13 |
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Daniel pose la question :
Hi
I’d like to know how many different outcomes would be in a
Soccer week played if there is 9 different games 2 teams and 3 outcomes
Win, tie or lose
Thank you
Penny Nom lui répond. |
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The flight of a football |
2020-05-06 |
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Michael pose la question :
Football is thrown from a 10-yard line. It reaches its highest height of 20 yards. It lands on the 50-yard line after 2 seconds. What is the equation of the parabola that models this throw? I really need help as I've been on this for the longest amount of time.
Penny Nom lui répond. |
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The record for a soccer team |
2018-07-20 |
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Payal pose la question :
A soccer team plays six games in one month. Each game results in a win, loss, or tie.
For this soccer team, how many different sets of results are possible for the six games?
Penny Nom lui répond. |
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Soccer fans and cricket fans |
2018-05-06 |
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Chibo pose la question :
In a survey of 60 sport fans, 45 enjoy soccer, 35 enjoy cricket and 10 do not enjoy either soccer or cricket, but some other sports.What percentage of sports fans enjoys both soccer and cricket?
Penny Nom lui répond. |
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A penny is thrown from the top of a building |
2018-03-16 |
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Zoraida pose la question :
A penny is thrown from the top of a 26.7-meter building and hits the ground 3.39 seconds after it was thrown. The penny reached its maximum height above the ground 0.89 seconds after it was thrown.
a. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.
b. What is the maximum height of the penny above the ground?
Penny Nom lui répond. |
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A footballer angle |
2018-02-14 |
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Kim pose la question :
Two goal posts are 8m apart. A footballer is 34m from one post and 38m from the other. Within what angle must he kick the ball if he is to score a goal.
Penny Nom lui répond. |
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A puzzling sequence |
2017-12-19 |
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Alan pose la question :
My son has the following sequence to work out the formula for the nth term (and fing 5th and 6th terms) and I have tried a variety of ways but can't help!
1/2, 5/6, 1, 11/10
I have converted all to 15/30, 25/30, 30/30, 33/30 and so think the next two terms are 37/30 and 45/30 but I have no idea how to prove or if I am right!
Any help appreciated.
Penny Nom lui répond. |
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Successive Differences |
2017-04-06 |
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Twaha pose la question :
Please find the equation of the sequence 1 2 4 7 11 16 22
Penny Nom lui répond. |
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A pattern rule for a sequence |
2016-10-28 |
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Grace pose la question :
Here's a Grade 7 question, we need to find the pattern rule:
1 - 1
2 - 3
3 - 6
4 - 10
......
It may involve exponents, but we can't seem to figure it out.
thank you.
Grace.
Penny Nom lui répond. |
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A sequence |
2016-01-05 |
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Mia pose la question :
the next three terms in each sequence. 0.4, 0.54, 0.68, 0.82,
Penny Nom lui répond. |
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Distance as a function of acceleration |
2013-07-10 |
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Tom pose la question :
If you start at a stoplight and your acceleration is 16t - t^2, how far have you gone after 8 seconds?
Penny Nom lui répond. |
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Possible soccer scores |
2012-10-09 |
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Riaan pose la question :
Good day, I would like to know all the possible scores for a set of 5 soccer matches with no more than 5 total goals being scored in any match.
Bearing in mind that there are three outcomes to every match. Win, Lose or Draw.
Could you please help me with this?
Kind regards
Riaan
South Africa
Penny Nom lui répond. |
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Uniform acceleration |
2011-12-06 |
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Android pose la question :
At a certain instant, two cars A and B are 2000 ft apart. At this instant, car A is traveling at 15 miles/hr. and accelerating at 3 ft/s^2 while B is moving towards A at 30 miles/hr. and an acceleration of 2 ft/s^2.
Find the ff:
a.) The possible time of their collusion in minutes.
b.) The distance in ft. each has traveled before collusion.
Penny Nom lui répond. |
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A mythical soccer ball |
2011-10-27 |
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Joel pose la question :
We've been working on this problem diligently and can't seem to come up with the answer book's answer. We think it may be wrong, yet want to check it with an expert. Here goes.
The school's new soccer balls are covered with 64 regular hexagonal panels. Each hexagon measures 2 inches between opposite corners and 1.5 inches between opposite sides. What is the total surface area of the soccer ball?
Robert Dawson and Lorraine Dame lui répond. |
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Fibonacci and induction |
2010-07-12 |
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James pose la question :
I'm trying to prove by induction that F(n) <= 2^(n-1)
where f(1)=f(2)=1 and f(k)=f(k-1)+f(k-2) for k >=3 is the Fibonacci sequence
Stephen La Rocque and Tyler Wood lui répond. |
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Body measurements |
2010-04-06 |
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Amirul pose la question :
Recently I'm proposing my research question to my teacher for my extended essay. I'm an IB student.
My research question is regarding the estimation of human in buying trousers through reference of neck. What does the relation between the diameter of the neck and the diameter of the waist?
I want to see how far does the estimation theory is true for different type of people with different BMI(body mass index)..
But teacher said that it is golden ratio...so nothing interesting... =(
really??? But i search on net.... state that my idea seems do not have any relation with the golden ratio so far..... i just want ask you... am I able to perform in my extended essay if i continue with this research question??
Robert Dawson lui répond. |
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The nth derivative of x^(n-1) log x |
2010-03-10 |
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shambodeb pose la question :
This is a successive differentiation problem by Leibnitz theorem
If y = xn-1 log x ; Proof nth derivative y(n) = (n-1)!/x
Harley Weston lui répond. |
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The test for some disease is 99% accurate |
2010-02-24 |
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baaba pose la question :
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?
Chris Fisher lui répond. |
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Investing in multiple accounts |
2009-06-26 |
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Kenneth pose la question :
Hello:
If an investor has $1000.00 to invest in multiple accounts, and he
wants a total return of 4%, is there one calculation that can be used
to determine what these amounts could be even though there may be
numerous amounts used as answers for most of the following examples?
For example,
Invest $1000.00 @ 2% and 5% for total return of 4%.
Invest $1000.00 @ 2%, 3% and 5% for total return of 4%.
Invest $1000.00 @ 2%, 3%, and 5% for total return of 4%.
Invest $1000.00 @ 2%, 3%, 4% and 5% for total return of 4%.
etc.
Robert Dawson lui répond. |
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Accuracy of Data |
2009-06-25 |
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Bill pose la question :
If say, a predictin is 20 and the actual is 35 how do you work out the accuracy of the prediction
Janice Cotcher lui répond. |
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Successive differences |
2009-06-18 |
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Jonathan pose la question :
I'm trying to find the next number sequence for this equation: 1 11 35 79 149 251, my problem is that I worked it out and ended up with a single number 17. What am I doing wrong. Thank you for any help.
Robert Dawson and Penny Nom lui répond. |
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Cubic centimeters and ounces |
2009-02-06 |
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Dawn pose la question :
1-- syringe contains 5.5cc of medicine & cost $13.50
1 --2 oz bottle of medicine cost $17.50
How many cc's in 2 oz, & which is the better deal?
Stephen La Rocque lui répond. |
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A falling object |
2009-02-01 |
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Tamara pose la question :
We drop an object from rest (i.e. its initial spped is zero. It is falling freely toward the ground. What will be its speed after 5 seconds of falling?
Penny Nom lui répond. |
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What will be its speed after 10s? |
2009-02-01 |
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Tamara pose la question :
An object has an initial speed of 5 m/s and is accelerating with 2 m/s2 (m/s squared) acceleration. What will be its speed after 10s?
Penny Nom lui répond. |
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Jon's bank account |
2009-01-03 |
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Abigail pose la question :
Hi, i have an exam soon (monday =[ )
in my revison book, it shows two peoples bank accounts- and then it says
"write a formula to show the balence of Jon's bank account after n weeks of 2003"
this is the table show
Jon's Bank account
| Weeks |
Week 1 |
Week 2 |
Week 3 |
Week 4 |
Week 5 |
| Balance(£) |
970 |
1035 |
1100 |
1165 |
1230 |
Penny Nom lui répond. |
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Topsoil on a soccer field |
2008-12-02 |
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rita pose la question :
a park foreman decides that a soccer field needs 4 inches of topsoil. soccer field is 100 feet by 250 feet.
1 truckoad is 5 cubic yards. how many truckloads do we need to order. i keep confusing myself with formulas. please explain the steps to me
thank you
Penny lui répond. |
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3,6,10,15,and 21 |
2008-09-28 |
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jarred pose la question :
i am currently stumped on a math project that requires me to find out the recursive formula for a sequence of numbers. the numbers in the sequence are 3,6,10,15,and 21. Thank you for your time.
Walter Whiteley lui répond. |
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Art and Integers |
2008-09-17 |
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pamela pose la question :
how do artists use integers?
Janice Cotcher lui répond. |
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How accurate is the following calculation? |
2008-09-03 |
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Craig pose la question :
Given that these numbers are only accurate to 2 decimal places, how accurate is the following calculation?
1.73 - 2.16 + 0.08 + 1.00 - 2.23 - 0.97 + 3.02 = 0.47
How do I work out the accuracy?
Penny Nom lui répond. |
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Eccentricity of an Elliptical Orbit |
2008-08-20 |
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Gina pose la question :
A satellite has an elliptical orbit around the earth with one focus at the earth’s
center, E. The earth’s radius is 4,000 miles. The highest point that the satellite is
from the surface of the earth is 800 miles, and the lowest is 200 miles.
What is the eccentricity of the satellite’s orbit?
Janice Cotcher lui répond. |
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Time with Non-Uniform Motion |
2008-07-21 |
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jenina pose la question :
An unmarked police car, travelling a constant 95km/h, is passed by a speeder travelling 145km/h. precisely 1.00s after the speed passes, the policeman steps on the accelerator. If the police car’s acceleration is 2.00m/s², how much time elapses after the police car is passed until it overtakes the speeder (assumed moving at constant speed)?
Janice Cotcher lui répond. |
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What is the account value after 3 years? |
2008-07-10 |
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Carlos pose la question :
Question
Suppose that you deposited $3,000 at the beginning of each year for three years in a savings account earning 4%. What is the account value after 3 years (approx)?
a. 9,120
b. 9,211
c. 9,739
d. 9,989
Penny Nom lui répond. |
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Throwing a ball on the moon |
2008-05-21 |
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leria pose la question :
equation for motion of moon is h=2.67t^2 + vt + s
equation for earth h=-16t + vt + s
Suppose you are on an outpost on the moon and Jan is back on Earth. Both people toss a ball from a height of 96 feet with an initial velocity of 16 feet per second. How much longer will your ball stay in motion on the moon than Jan's on the earth?
Math Central,
I'm having a difficult time understanding which numbers to plug into the formula.
Stephen La Rocque lui répond. |
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The sum of the squares of the fibonacci numbers |
2008-04-27 |
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Thomas pose la question :
Hey I have a question for a research topic that our teacher set us, It is regarding the sum of the squares of the fibonacci numbers.
The question says describe the pattern that exists and write a general formula that describes the relationship illustrated above.
I can see the pattern that is occurring but i cannot put this into a general formula.
Any help would be appreciated.
Thanks Tom
Victoria West lui répond. |
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At what value of t is the maximum acceleration? |
2008-04-25 |
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Mary pose la question :
Velocity of a function (which is the first derivative of its position) is defined over the interval 0 to 12 using the following piecewise function: v(t)=-1 from 0 to 4, v(t)=x-5 from (4 to 8 and v(t)=-x+11 from (8 to 12. At what value of t is the maximum acceleration?
Stephen La Rocque lui répond. |
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1, 1, 2, 3, 5, 8, 13, ___ ___ ___ |
2008-03-13 |
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Karen pose la question :
What is the rule for the following pattern, and what would come next?
1, 1, 2, 3, 5, 8, 13, ___ ___ ___
Penny Nom lui répond. |
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Two points moving on a straight line |
2008-03-06 |
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laura pose la question :
Particle A travels at constant speed of 1.0ms-1 in straight line, passing particle B, at which time particle B beings traveling with constant acceleration of 0.2ms-2 until reaching Particle A.
What equations represent the displacement of particle A and particle B measure from the point they first pass?
How long does it take for particle B to catch up with particle A?
What is the speed of particle B when reaching particle A?
What distance have both particles traveled from where they first pass to where they meet again?
Calculate the displacement of both particle A and B at 2 second intervals between t=0s and t=12s?
Stephen La Rocque and Penny Nom lui répond. |
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Fibonacci numbers |
2008-01-30 |
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Beth pose la question :
You've answered a question for a Linda Bach on Oct. 25, 1999 that has to do with a pet rabbit and stairs. (Working Backwards) We were wandering if there is a formula we can use to plug the numbers in? My 7th grader got that exact same problem. I've spent several hrs trying to come up with a formula. I've tried the combinations formula, the Pascal's triangle and the Permutations formula. It seems like it is something real close to those, but can't quite get anything to work. What kind of formula would work for finding the outcome of this problem? Thanks so much for your help. Beth
Penny Nom lui répond. |
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How far from the corner will the police catch the car? |
2008-01-27 |
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Joel pose la question :
A car is going down the road at a speed of 90km/h in a 50km/h zone.
As the car passes a corner, a police cruiser sitting there notices it. Five
seconds later the cruiser begins accelerating at 5.0m/s squared.
Assuming that he is able to maintain this acceleration, how far from the
corner will the police catch the car? How fast will the cruiser be going?
Stephen La Rocque lui répond. |
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The volume of a soccer ball |
2007-11-25 |
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Ria pose la question :
A student of me is working on a paper about soccer and math/physics. He wants to calculate the volume of the ball, which is composed of 5- and 6-sided pyramids. We are looking after a formula to express the volume of these pyramids in function of the radius of the ball (and if possible how we can derive this formula). Afterwards we'll try to calculate the difference with the volume of a sphere with radius r.
Stephen La Rocque lui répond. |
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What number best completes the series? |
2007-11-12 |
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Grace pose la question :
What number best completes the series?
2 3 7 13 27 ____
Stephen La Rocque, Penny Nom and Harley Weston lui répond. |
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Constantly accelerated motion |
2007-10-29 |
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Priyanka pose la question :
A, B and C are three points lying in that order on a straight line. A body is
projected from B towards A with speed 3 m/s. The body experiences an
acceleration of 1 m/s^2 towards C. If BC =20 m, find the time taken to reach C and
the distance travelled by the body from the moment of projection until it reaches C.
Stephen La Rocque lui répond. |
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The nth term |
2007-10-18 |
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shannon pose la question :
Ok , what i am having problems with is the nth term. I get how the numbers come together, but i am having trouble with finding the nth term.
Penny Nom lui répond. |
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0,1,2,3,6,11,20,37,68... |
2007-10-16 |
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Pat pose la question :
Describe the rule for this pattern:
0,1,2,3,6,11,20,37,68...
Thanks
Penny Nom lui répond. |
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Angle of depression to a football |
2007-08-15 |
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Tosin pose la question :
The angle of depression to a football from the top of building 10m high
is 17 degrees. Find the distance of the ball from the foot of the building.
Stephen La Rocque lui répond. |
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Vehicle collision |
2007-07-31 |
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Tania pose la question :
If a driver falls asleep at the wheel of a newer model car and slams into
the rear of a parked classic mustang (2860-3280lb) and the parked car
is thrown 100 ft across the street, what would be the minimum speed
required by the newer car in order to move the mustang?
Penny Nom lui répond. |
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How fast was he going? |
2007-06-03 |
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Mary pose la question :
if a motorcycle left a 63 foot skid mark before hitting a car how fast was he going ?
Penny Nom lui répond. |
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The second derivative |
2007-04-14 |
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Gerry pose la question :
In mathematical context,what do you understand by the term "Second Derivative"
Penny Nom lui répond. |
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Acceptance sampling |
2007-03-29 |
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Katrina pose la question :
The Medassist Pharmaceutical Company recieves large shipments of
asprin tablets and uses this acceptance sampling plan: Randomly select
and test 24 tablets, then accept the whole batch if there is only one or
none that doesnt meet the required specifications. If a particular shipment
of thousands of asprin tablets actually has a 4% rate of defects, what is
the probability that this whole shipment will be accepted?
Penny Nom lui répond. |
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Seven digit account numbers |
2007-03-09 |
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Miranda pose la question :
Account numbers for the Central Oil Company consist of seven digits. If the first digit cannot be 0, how many account numbers are possible? Thank you so much!!!
Penny Nom lui répond. |
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How long does she have to get out of the way? |
2007-02-23 |
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Sharon pose la question :
How do I solve this? The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t^2 , where t is the time the object has been falling. A 6 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 6 story. How long does she have to get out of the way? Round to the nearest tenth. (A story is 12 feet.)
Penny Nom lui répond. |
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Acceleration |
2007-02-20 |
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thomas pose la question :
Don't know if this service still exists. ACCELERATION CALCULATION initial vel 0km/hr final vel 24km/hr time 3s
Stephen La Rocque lui répond. |
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A person jumps from the roof of a house |
2007-02-13 |
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Jessie pose la question :
A person jumps from the roof of a house 3.9m high. When he strikes the ground below, he bends his knees so that the torso decelerates over an approximate distance of 0.70m. If the mass of his torso (excluding legs) is 42kg, find a) his velocity just before his feet strike the ground , and b) the average force exerted on his torso by his legs during deceleration.
Please provide calculations and answers for comparison.
Stephen La Rocque lui répond. |
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Find the next 3 terms of the sequence |
2007-02-07 |
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rose pose la question :
find the next 3 terms of the sequence 2,3,9,23,48,87
Penny Nom lui répond. |
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Freefalling objects |
2007-01-25 |
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Patricia pose la question :
How long will it take a stone dropped from atop a 1000-meter tall building to reach the ground?
Stephen La Rocque lui répond. |
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Throwing a stone downwards |
2007-01-12 |
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Momo pose la question :
a stone is thrown vertically downward with an initial speed of 14m/s from a height of 65 m above the ground. A) how far does the stone travel in the first 2.0 s? B) what is the stone velocity just before it hits the ground?
Stephen La Rocque lui répond. |
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The Fibonacci sequence |
2006-11-21 |
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Ross pose la question :
Let f0 = 0; f1 = 1,... be the Fibonacci sequence where for all n greater than or equal to 2 fn = fn-1 + fn-2. Let Q = (1+square root of 5)/2. Show that for all positive n greater than or equal to 0, fn less than or equal to Q^(n-1).
Penny Nom lui répond. |
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Find the distance function s(t) given the acceleration function a(t) |
2006-11-16 |
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David pose la question :
Find the distance function s(t) of the acceleration function: a(t)= sin(0.1t)/ cos^3(0.1t)
Penny Nom lui répond. |
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how many ounces are in 750 cc's. |
2006-10-14 |
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Not a teacher pose la question :
how many ounces are in 750 cc's.
Stephen La Rocque lui répond. |
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The interior angles of a right triangle |
2006-05-20 |
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Greg pose la question :
I am wondering if there is a way to figure out the interior angles of a right triangle if we know ONLY the side lengths, and the trick is, we CANNOT use arctangent!
Leeanne Boehm and Penny Nom lui répond. |
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The radius of a soccor ball |
2006-05-05 |
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Jacqui pose la question :
A soccer ball is made up of hexagons and pentagons with the same side lengths.
A manufacturer wants to produce a ball of certain diameter. The questions that follows is what side length for the polygons will produce a ball of certain diameter.
Chris Fisher lui répond. |
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Reverse percentage |
2006-04-19 |
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Mike pose la question :
How would I calculate a reverse percentage?
Let me give you an example. I have two values that calculate to a success rate of 93.32. Total=1546051 Failures=103302. (1546051-103302)/1546051=93.32% success.
Now how much would I need to increase the total value to get the success up to 95%?
Stephen La Rocque lui répond. |
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The stair problem |
2005-12-06 |
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Arnold pose la question :
My daughter had me help her with some of her college math problems that require finding the pattern. The problem was the stair problem where you can climb either 1 step or 2 steps at a time. How many combinations are there to get to the 10th step. I found the data set that solves the answer to the question, but is there an equation that expresses the answer in terms of n?
1 2 3 4 5 6 7 8 9 10 stair number
1 2 3 5 8 13 21 34 55 89 number of possible combinations
Harley Weston lui répond. |
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Velocity and acceleration |
2005-10-27 |
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Candace pose la question :
When taking the integral of the position function, you get the velocity function, and the same for velocity to acceleration. So when you do each of these, you get a function. But when you integrate on a graph, you get an area under a curve. The area is un units squared- where do the units go when you make it an equation? How can a function be an area?
Harley Weston lui répond. |
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How many ounces is 750 cc's? |
2005-09-24 |
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Michael pose la question :
How many ounces is 750 cc's?
Penny Nom lui répond. |
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arccos(5/13) |
2005-05-31 |
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Kyle pose la question :
I would like to know how to evaluate the problem of: Arccos 5/13.
Penny Nom lui répond. |
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A 4-digit access code |
2005-01-02 |
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Missi pose la question :
I need to find the 4 digit number to access my voice mail. These numbers will be 0-9 & numbers can be repeated. Could you provide me with a list of possibly combinations? If not, do you know anywhere that I could get a list of combinations so I don't have to write it all down?
Harley Weston lui répond. |
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Accelerating to the speed of light |
2004-09-30 |
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Lars pose la question :
How long time would it take to accelerate up to the speed of light with an acceleration speed similar to 0-100 seconds in 5 seconds?
Penny Nom lui répond. |
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130 cc. is ? |
2004-08-20 |
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Ayrn pose la question :
130 cc. is ?
I have to put 130cc. of petroleum in a bucket how much exactly is that?
Also 110 cc.?
I have to also put 110cc. wood alcohol in a bucket aswell!
Penny Nom lui répond. |
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A Fibonacci triangle |
2004-04-25 |
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Marcelle pose la question :
Is it possible to construct a triangle with sides that are three consecutive Fibonacci numbers?
Walter Whiteley lui répond. |
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425 cc's of a saline solution |
2004-03-30 |
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Julie pose la question :
425 cc's of a saline solution is equal to how much in lbs-weight??
Harley Weston lui répond. |
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Ounces into cubic centimeters |
2004-01-27 |
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A student pose la question :
how do you convert ounces into cubic centimeters? Ex: how does 12 oz. change into cc.
Penny Nom lui répond. |
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g on Mars |
2004-01-22 |
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RC pose la question :
To measure the acceleration on Mars an object is dropped from a height of 160m. It takes 10s for this object to hit the ground. What is the value for g on Mars?g
Penny Nom lui répond. |
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Unusual occurances |
2004-01-08 |
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Martin pose la question :
My wife and I have a question about the probability of something that happened to us a few years ago. So far, no one has been able to give me even an approximate answer. On my 32nd birthday, my wife and I went out to eat at local Japanese hibachi style restaurant. At the restaurant, couples/families are sat together around the hibachi where the cook performs a show. There was a fifteen minute or so wait, so my wife and I sat in the lounge waiting for our name to be called. When they called our names for the reservation, this is what happened. The first group called was the Martin family. Then they called the Francis family. We were the next family to be called, the Ashton family. My full name is Martin Francis Ashton! I think the odds of that happening to someone are very unlikely, but it did, and there is more. Next, we were all sat at the same table in that order, "Martin" family, "Francis" family, then us, the "Ashton" family. Again, it formed my full name!
Penny Nom lui répond. |
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A helicopter rises vertically |
2003-09-02 |
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Kate pose la question :
A helicopter rises vertically and t seconds after leaving hte ground its velocity is given in feet per second by v(t) = 8t + 40 / (t+2)2 How far above the ground will the helicopter be after 3 seconds?
Penny Nom lui répond. |
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Fibonacci exam |
2003-01-28 |
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Mike pose la question :
My son will be participating in the national math contest. He is a grade 4 student but will be writing the Fibonacci exam for grade 5. He has been given last years exam for practice. Parents have been ask to assist for this part. I was therfore hoping for a little "inside" help on several questions with answers & short explanations. This with a would be greatly appreciated.(from last years exam) - With 3 weights, Mathusalem can weigh any object that has a weight which is smaller or equal to 13 kg, but that weighs a whole number of kilograms. He wants to weigh an object of 7 kilograms. To do so, he must place two of the weights on the left side of the scale, and the third one on the right side. Which one will he have to place on the right side
a)4 b)3 c)6 d)2 e)5
- Mathilda uses a rectangular prisms to build stairs. The cross section of each prism is a square which has a side of 1 dm. Mathilda has already put in place 4 steps of a staircase that must have a height of 10 dm. When finished, the staircase will have a volume of 550 dm3. What will the width of the staicase in dm be?
a)10 b)55 c)11 d)1 e)100
- The year 1991 was the last palindrome year of the second millennium. The year 2002 is the first palindrome year of the third millennium. Including 2002, how many palindrome years will there be, altogether, in the third millennium ?
a)8 b)2 c)10 d)182 e) 9
Greatly appreciated,
Mike
Penny Nom lui répond. |
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Calculations |
2002-12-15 |
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Mahdi pose la question :
This problem is rather general, but it usually makes a lot of problems. I almost have no difficulty in math and physics questions, but unfortunately I'm not at all accurate in simple one or two digit calculation. I even sometimes make silly mistakes in simple sums like 7+4=12 or 4+5=11! Is there any effective way to reduce these mistakes?
Walter Whiteley lui répond. |
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Cubic centimeters |
2002-11-07 |
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Rita pose la question :
Was in emergency room yesterday-MD aspirated 40cc of fluid from my knee--what does a "cc" equate to?
Penny Nom lui répond. |
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Baseball, basketball and football |
2002-10-08 |
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Debbie pose la question :
The school newspaper is interviewing 6th grade students to see what sports they follow regularly on TV. Of the 70 students interviewed; 40 enjoyed basketball; 40 enjoyed baseball; 40 enjoyed football; 20 enjoyed basketball and football; 22 enjoyed baseball and basketball; 27 enjoyed football and baseball; and 12 enjoyed all three sports. How many students out of the 70 interviewed didn't follow any one of the three sports?
Leeanne Boehm, Penny Nom and Walter Whiteley lui répond. |
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A good rule of thumb when driving |
2002-06-13 |
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Lisa pose la question :
A good rule of thumb when driving is that you should be about one car length away from the car in front of you for every 10 miles per hour that you are travelling. Suppose you follow this rule perfectly (so you are exactly the correct distance away). You are waiting at a stop light with your front bumper just touching the car in front of you. The light turns green and the car in front accelerates at a constant rate "r". Calculate how you should accelerate in order to follow the rule.
Penny Nom lui répond. |
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Ounces and cubic centimeters |
2002-05-30 |
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Martin pose la question :
How many ounces are in 600cc of liquid?
Penny Nom lui répond. |
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How many different account numbers are possible? |
2002-04-18 |
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Andrene pose la question :
how many different account numbers are possible if the account numbers consist of a letter of the alphabet, followed by five numerical digits, and followed by another letter.
Penny Nom lui répond. |
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Successive differences |
2002-01-20 |
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Linsey pose la question :
what is the rule for working out the formula for a sequence with three lines of difference? eg.
1, 3, 7, 15, 29
1st line differences: 2, 4, 8, 14
2nd line differences: 2, 4, 6
3rd line differences: 2, 2
Penny Nom lui répond. |
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Squares of Fibonacci numbers |
2001-04-24 |
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Vandan pose la question :
What discoveries can be made about the sum of squares of Fibonacci's Sequence?
Penny Nom lui répond. |
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A jogger |
2001-03-12 |
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Bill pose la question :
At time t=0 a jogger is running at a velocity of 300 meters per minute. The jogger is slowing down with a negative acceleration that is directly propotional to time t. This brings the jogger to a stop in 10 minutes. a) write an expression for the velocity of the jogger at time t. b) what is the total distance traveled by the jogger in that 10-minute interval.
Harley Weston lui répond. |
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Fibonacci |
2001-02-28 |
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Shona pose la question :
We have been doing pattern finding with him, talking to a friend he mentioned the "Fibbinacci Series" ?, while I have tried to find a bit about it, how works etc.. what it is about, I have not really found out much, what I have I feel is way beyond him, but am still curious to know the basics of it myself. Would you be able to tell me in laymans language. Would be very much appreciated.
Claude Tardif lui répond. |
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Finding roots |
2001-02-01 |
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A student pose la question :
My math problem is right now we are working on roots. I don't quite understand how to find the answer to the problems, i was wondering what is the easiest, and fastest way to find the answers to roots?
Penny Nom and Claude Tardif lui répond. |
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Fibonacci |
2000-12-07 |
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A student pose la question :
Can you give me any info about Fibonacci??
Penny Nom lui répond. |
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Gravity |
2000-09-06 |
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Robert Broomfield pose la question :
If they dropped a 1lb object from 40,000 feet in the air, at what speed would it it the ground?
Harley Weston lui répond. |
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Fibonacci Numbers |
1999-12-15 |
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Gary Nelb pose la question :
I'm doing a project on fibonacci numbers and I'm using different starting values and finding out if different starting values to see whether or not the ratios still get closer to phi. I was wondering, what numbers should I use. Should I use two of the same # like 2 and 2, or numbers like 1 and 2, or even something totally different.
Denis Hanson lui répond. |
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Finding a rule for a sequence |
1999-02-17 |
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Lindsey Masters pose la question :
I'm doing a maths investigation and i have a sequence which goes:- 13,16,25,32,45,56,73. Our teacher told us we have to find a rule by looking at the differences of the terms until we find a constant. The first differences are:- 3,9,7,13,11,17. The differences of these are:- ...... Please could you tell me how to work it out so that I could work out the rules of similar sequences.
Penny Nom lui répond. |
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Pay Phone Problem |
1998-02-26 |
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Shameq pose la question :
Hi, I've been given a problem that I'm having some trouble with. I'd really appreciate any help. Here's the question (it's called the Pay Phone Problem) A pay phone will take only 10p, 20p, 50p, and £1 coins"(It's British). A woman has plenty of 10p and 20p coins. She has no other coins. She can put the coins into the pay phone in any order. INVESTIGATE the number of different ways, she could put the 10p and 20p coins into the pay phone.
Penny Nom lui répond. |
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A problem with arccos. |
1997-06-09 |
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Vanessa Chan pose la question :
Prove: arc cos4/5 + arc cos (-5/13) = arc cos (-56/65)
Harley Weston lui répond. |
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Stairs |
1996-02-12 |
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Marianne and Carrie pose la question :
How many ways can you run up a flight of stairs?
Denis Hanson lui répond. |
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Magic Square |
1995-10-20 |
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Marianne and Carrie pose la question :
How can an 8 by 8 square have the same area as a 5 by 13 rectangle?
Denis Hanson lui répond. |
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