 |
|
|
|
|
|
|
|
|
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. |
|
|
|
|
|
|
Points on a graph |
2008-07-03 |
|
From Rita:
Dertermine if the given 3 points are on the graph of the equation.
Equation: y = (x^3) - [2(sqrt{x})]
Points: (0, 0); (1, 1); (1, -1)
Answered by Penny Nom. |
|
|
|
|
|
|
Two triangles and a circle |
2008-07-03 |
|
From Anita:
An equilateral triangle with side of length 1 cm is inscribed in a circle. A second equilateral triangle is circumscribed about the circle with all sides tangent to the circle. Find the length of a side of the second triangle.
Answered by Harley Weston. |
|
|
|
|
|
|
Sum and product of the roots of a quadratic |
2008-07-03 |
|
From Gautam:
If a and b are the roots of x^2+px+1=0 and c and d are the roots of
x^2+qx+1=0
prove that
(a-c)(b-c)(a+d)(b+d)=q^2-p^2
Regards
Gautam
Answered by Harley Weston. |
|
|
|
|
|
|
Exponential form |
2008-07-03 |
|
From Kent:
How to write 8 365 005 106 in expanded and exponential form? May I request you also to explane how does it solve.
Answered by Stephen La Rocque. |
|
|
|
|
|
|
A series solution of y' = xy |
2008-07-03 |
|
From sasha:
I've to find the power series solution of the differential equation: y' = xy.
I don't know how to find the recursive equation. Can you please help me. Thanks
Answered by Harley Weston. |
|
|
|
|
|
|
What is the largest perfect square factor of 1512? |
2008-07-02 |
|
From peter:
What is the largest perfect square factor of 1512?
Answered by Penny Nom. |
|
|
|
|
|
|
Polynomial division and remainders |
2008-07-02 |
|
From RAM:
If the polynomial x4-6x3+16x2-25x+10 is divided by another polynomial x2-2x+k, the remainder
comes out to be x+a. Find k and a.
Answered by Janet Cotcher and Harley Weston. |
|
|
|
|
|
|
z-score |
2008-07-02 |
|
From Candace:
If a normal-shaped distribution has a mean of 80 and a standard deviation of 15 what is the z-score for M=84 for a sample of n=25 scores. Is this sample mean in the middle 95% of the distribution?
Answered by Harley Weston. |
|
|
|
|
|
|
Units digit |
2008-07-02 |
|
From seemachauhan:
How to find unit digit of various numbers and what are unit digits?
Answered by Penny Nom. |
|
|
|
|
|
|
The distribution of sample means |
2008-07-02 |
|
From crystal:
A population forms a normal distribution with a mean of 75 and a standard deviation of 20. How do I sketch the distribution of sample means for samples of n= 100?
Answered by Harley Weston. |
|
|
|
|
|
|
Fit 7 different rectangles on grid paper |
2008-07-02 |
|
From anonomous:
I need to fit 7 different rectangles on grid paper of 1cm squared.
Each squared centimetre equals 4 squared metres, and it needs to end up as area 64 square metres.
Answered by Janice Cotcher. |
|
|
|
|
|
|
GST and PST |
2008-07-02 |
|
From Sharon:
The question was asked before but it was based on a G.S.T of 7% and I am now interested in the answer for 5% G.S.T.
It usually comes up when I husband bring homes a gas bill that doesn't break down the gst and pst, but rather just gives him the total cost I have to know how much GST he paid. If it is Diesel the PST isn't included but if it is regular gas he pays both. PST is 7%.
Answered by Penny Nom. |
|
|
|
|
|
|
The sum of the digits of two-digit number is 9 |
2008-07-01 |
|
From Audrey:
the sum of the digits of two-digit number is 9. if the digits are reversed, the new number if 63 greater than the original number. find the number.
Answered by Penny Nom. |
|
|
|
|
|
|
Miles per hour |
2008-07-01 |
|
From Nedra:
If I walk 1 mile and 2/10ths in 20 minutes how fast am I going?
AND how many calories have I burned off?
Answered by Penny Nom. |
|
|
