![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
Concavity of f(g) |
2001-10-25 |
![](/images/transparent.gif) |
From Troy: Suppose f & g are both concave upward on (-infinity,infinity). Under what condition on f will the composite function h(x)= f(g(x)) be concave upward? Answered by Walter Whiteley. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
An algebraic fraction |
2001-10-25 |
![](/images/transparent.gif) |
From brandi: 4x - 5 _____ =4 3-7x Answered by Penny Nom. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
Metric units |
2001-10-25 |
![](/images/transparent.gif) |
From Kelly: i am helping my kids out with school work and don't remember meters,centimeters decimeters and all those. We have to change meters into cm.....and so on..........is there a place on the web to look for some kind of help in these questions Answered by Penny Nom. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
Where is the fourth point? |
2001-10-24 |
![](/images/transparent.gif) |
From Mike: Four points are placed at random on a piece of paper. Connect the three points of the triangle of the largest area. What is the possibility that the fourth point is in the triangle? Answered by Penny Nom. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
A geometric series |
2001-10-24 |
![](/images/transparent.gif) |
From Tashalee: The sum of the first 3 terms of a geometric series is 13. The sum of their reciprocal is 13/9. how do you find the first three terms? Answered by Penny Nom. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
Minesweeper |
2001-10-24 |
![](/images/transparent.gif) |
From Un eleve: J'espere que vous pourrez m'aider. Est ce que vous connaissez un algorithme ou une strategie de resoulutiom pour le jeu du demineur (8x8 avec 10 mines)(Minesweeper). Answered by Claude Tardif. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
Free pamphlets |
2001-10-24 |
![](/images/transparent.gif) |
From Salman: a travel agency has limited number of six different free pamphlets about the beetle islands. the agent tells you to take any that you want, but not more than two of any kind. Assuming that you take at least one pamphlet, how many choices could you make Answered by Penny Nom. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
A right angled triangle |
2001-10-23 |
![](/images/transparent.gif) |
From Carissa: How do you : Triangle ABC is right-angled at A. Calculate the length of the third side if b = 3 and c = 6, express the answer as a surd in its simplest form. Answered by Harley Weston. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
The distributive law |
2001-10-23 |
![](/images/transparent.gif) |
From Carissa: How do you simplify the following using the distributive law :
5 squareroot 2+3 squareroot 2? Answered by Penny Nom. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
A $10,00 prize |
2001-10-23 |
![](/images/transparent.gif) |
From Michelle: The grand prize for winning a contest is $10,000. After 28 percent of the prize is deducted for taxes, the winner receives the balance of the prize in annual payouts of equal amounts over a 3-year period. How many dollars will the prizewinner receive each year of the 3 years?(Disregard the $ sign when gridding your answer.) Answered by Penny Nom. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
Squaring the circle |
2001-10-23 |
![](/images/transparent.gif) |
From Margaret: I have the following question that I cannot answer on my own (I don't know where to begin): Is it possible construct a square whose area will equal the area of a given circle? Please Explain why or why not. Answered by Penny Nom. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
The average of two polygons |
2001-10-23 |
![](/images/transparent.gif) |
From Irene: How can I prove that the average of two polygons will give me another one? Answered by Walter Whiteley. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
Multiplying vectors |
2001-10-22 |
![](/images/transparent.gif) |
From Murray: Could you please explain why a vector times a vector is a scalar and how to derive the formula vector a * vector b = ab cos(a,b) Answered by Harley Weston. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
Lines in the plane |
2001-10-21 |
![](/images/transparent.gif) |
From Greg:
*If the line with equation 3x-4ky= -16 has y-intercept -2, find k. *Write the equation of the line passing through (2,5) and perpendicular to the line passing through (2,-4) and (6,1) Answered by Penny Nom. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
![](/images/transparent.gif) |
Water in a conical tank |
2001-10-20 |
![](/images/transparent.gif) |
From Sarah: The problem: Water flows into a conical funnel at a continuous rate of one gallon per minute (One gallon = 231 Cu.In.). The height of the funnel is 5" and the diameter is 8". The 1st formula: I need to develop a formula that will give the volume, in cubic inches, of the water in the funnel at any time t (in seconds). V = f(t). The 2nd formula: I need to develop a formula that will give the height of the water in the funnel at any time t (in seconds). h = f(t). Answered by Penny Nom. |
![](/images/transparent.gif) |
![](/images/transparent.gif) |