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The rational root theorem |
2007-12-09 |
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From Josh: 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). Answered by Penny Nom. |
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Imaginary roots |
2007-12-09 |
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From Josh: 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)? Answered by Harley Weston. |
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Polygons |
2007-12-09 |
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From Nicholle: a polygon with all sides the same length and all angles the same measure is called a ---- polygon.
What word goes in the blank. Answered by Penny Nom. |
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Related rates - tree growth |
2007-12-09 |
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From Christy: 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. Answered by Stephen La Rocque and Harley Weston. |
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Imprecise measurements |
2007-12-09 |
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From Sara: 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!!! Answered by Stephen La Rocque. |
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LCM over 100 |
2007-12-09 |
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From Aris: 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? Answered by Stephen La Rocque. |
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Three consecutive numbers |
2007-12-08 |
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From Aris: The product of 3 consecutive numbers is 1716. Find their sum. Answered by Stephen La Rocque. |
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A triangle and a pentagon |
2007-12-08 |
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From Olivia: A regular pentagon has an area of 800 square centimetres. What is the area of the triangle extended from one side of the pentagon? Answered by Stephen La Rocque. |
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How much did she repay? |
2007-12-08 |
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From Margie: 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? Answered by Stephen La Rocque. |
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How old is the 11th person? |
2007-12-08 |
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From Jamie: 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? Answered by Jesse McLeod and Stephen La Rocque. |
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ln(x)/x |
2007-12-07 |
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From Nooruddin: How can I calculate the absolute minimum of (ln x)/x? Answered by Stephen La Rocque. |
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Three students, four bars |
2007-12-07 |
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From rougi: 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? Answered by Penny Nom. |
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A portion of a circle |
2007-12-07 |
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From Richard: 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 Answered by Penny Nom. |
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Two logic problems |
2007-12-07 |
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From Grace: 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 Answered by Penny Nom. |
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Bags of concrete |
2007-12-06 |
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From Chris: 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? Answered by Penny Nom. |
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