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The rational root theorem |
2007-12-09 |
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Josh pose la question :
Prove the rational root theorem (where, in a polynomial equation, all
factors of the constant divided by all factors of the leading coefficient
are possible rational roots of the equation).
Penny Nom lui répond. |
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Imaginary roots |
2007-12-09 |
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Josh pose la question :
What is the correlation between imaginary roots (of a quadratic or other
polynomial equation) and the graph of the equation? As in, how can one
represent imaginary solutions graphically (and why does that work)?
Harley Weston lui répond. |
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Polygons |
2007-12-09 |
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Nicholle pose la question :
a polygon with all sides the same length and all angles the same measure is called a ---- polygon.
What word goes in the blank.
Penny Nom lui répond. |
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Related rates - tree growth |
2007-12-09 |
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Christy pose la question :
How do I go about answering this question, I know I have to find dv/dt, but I'm not sure how to start.
The volume of a certain tree is given by V= 1/12pie C^2h where C is the circumference of the tree at the ground level and h is the height of the tree. If C=5feet and growing at the rate of 0.2feet per yer, and if h=22feet and is growing at 4 feet per year, find the rate of growth of the volume, V.
Stephen La Rocque and Harley Weston lui répond. |
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Imprecise measurements |
2007-12-09 |
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Sara pose la question :
Hi!
A water tank, in the shape of a cuboid (length 1.6 m, height 1.2 m, breadth 0.8 m), is full of water.
Water is drained from the tank at a rate of 8 litres per minute. The dimensions of the tank are given to the nearest 10 cm.
The rate at which the water is drained from the tank is given to the nearest 0.5 litres per minute.
(a) Calculate the smallest possible time to drain the tank.
(b) Calculate the greatest possible time to drain the tank.
Many thanks!!!
Stephen La Rocque lui répond. |
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LCM over 100 |
2007-12-09 |
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Aris pose la question :
A teacher has more than 100 sweets. She thinks that if she give 6, 8 or 9
sweets to her students she will have no remaining in the case. What is the
smallest number of sweets in the bag?
Stephen La Rocque lui répond. |
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Three consecutive numbers |
2007-12-08 |
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Aris pose la question :
The product of 3 consecutive numbers is 1716. Find their sum.
Stephen La Rocque lui répond. |
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A triangle and a pentagon |
2007-12-08 |
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Olivia pose la question :
A regular pentagon has an area of 800 square centimetres. What is the area of the triangle extended from one side of the pentagon?
Stephen La Rocque lui répond. |
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How much did she repay? |
2007-12-08 |
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Margie pose la question :
Jackie borrowed $30,000 from her bank at 9.75 Interest for 5 years and six months. When the loan was paid in full, how much money had Jackie paid the bank?
Stephen La Rocque lui répond. |
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How old is the 11th person? |
2007-12-08 |
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Jamie pose la question :
Ten people are in a room, and their mean age is 15. After another person enters the room, the mean age is now 18. How old is the person that walked in?
Jesse McLeod and Stephen La Rocque lui répond. |
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ln(x)/x |
2007-12-07 |
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Nooruddin pose la question :
How can I calculate the absolute minimum of (ln x)/x?
Stephen La Rocque lui répond. |
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Three students, four bars |
2007-12-07 |
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rougi pose la question :
in a certain town, there are 4 different bars and 3 student (independently)decided to go bars :
a)what is probability that these three student go to the same bar (at certain night)?
b) what is probability that these three go to different bars?
Penny Nom lui répond. |
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A portion of a circle |
2007-12-07 |
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Richard pose la question :
please could you tell me the formula and answer to the following.
I have a circle portion with a radius of 150mm and an angle of 120 deg. If
an arc is drawn from one point to the other as the radii touch the circle
circumference, i need to know the area of the segment and the
formula to carry out the answer.
Many Thanks
Penny Nom lui répond. |
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Two logic problems |
2007-12-07 |
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Grace pose la question :
1. You are an archaeologist that has just unearthed a long-sought triplet
of ancient treasure chests. One chest is plated with silver, one with gold,
and one with bronze. According to legend, one of the three chests is filled with
great treasure, whereas the other two chests house a man-eating python that
can rip your head off. Faced with a dilemma, you then notice that
there are inscriptions on the chests:
Silver Chest - Treasure is in this Chest.
Gold Chest - Treasure is not in this Chest.
Bronze Chest - Treasure is not in the Gold Chest
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You know that at least one of the inscriptions is true,
and at least one of the inscriptions is false. Which chest do you open?
(a) Silver (b) Gold (c) Bronze
Penny Nom lui répond. |
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Bags of concrete |
2007-12-06 |
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Chris pose la question :
I need 1 and one half yards of concrete for a project. If one bag is equal
to 0.38 cubic feet, how many bags will I need?
Penny Nom lui répond. |
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