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Why quadratic for a second degree equation? 2001-10-20
From Jana:
Why do we use the word quadratic to describe second degree equations?
Answered by Penny Nom.
A goat in a square pen 2001-10-19
From Brad:
A goat is tied to one corner of a square pen 20 ft. on a side.
  1. If the goat's tether is 10 ft. long, what percentage of the grass in the pen can the goat reach?

  2. What should the length of the tether be so that the goat can reach half of the grass?

Answered by Penny Nom.
Symmetry of f(x) = ax^n 2001-10-18
From Mohammed:
a function of the form f(x)=axn, where a doesn't equal 0 and n is a positive integer is called a power function . how is the exponent in the equation of a power function related to the symmetry of its graph?
Answered by Penny Nom.
414 is what percent of 5,624? 2001-10-18
From A student:
414 is what percent of 5,624?
Answered by Penny Nom.
A function or not a function? 2001-10-18
From Christian:
Which are the following are not functions?
  1. y = x2

  2. y = x3

  3. x = y2

  4. y = 3

Answered by Leeanne Boehm.
Tenths, hundredths, and thousandths 2001-10-17
From Cheri:
I would like the French terms for the decimal place values of tenths, hundredths, and thousandths. (I would be interested in the Spanish terms also if you had them.)
Answered by Maria Torres and Claude Tardif.
Column doesn't add up to 100% 2001-10-17
From A student:
why don't some tables I'm studying in a column add up to 100%? Example: N=338, but responses to questions asked in survey I'm studying equal of 24.3, 9.8, 43.8, DON'T add up to 100%. I'm assuming that some people surveyed out of the 338 didn't bother responding, but is there another problem related to proportion or ratio being used, but improperly labeled on graph?. Note at bottom of table says: "number in parenthesis are numbers of cases" and 338 was in parentheses. I'm lost.
Answered by Penny Nom.
A line in 3 dimensions 2001-10-17
From Murray:
I'm working on a complicated proof and i need the equation for a line in 3 dimensions.
Answered by Claude Tardif.
Dividing a circle 2001-10-17
From Ahmeen:
I am having a hard time figuring out how a circle can be divided into 11 equal parts with only 4 cut allowed? My teacher gave this to us and I still can't cut my pie into eleven equal parts with only four cuts.
Answered by Walter Whiteley.
Dimensions of a frame 2001-10-16
From Rachel:
A rectangular picture frame has a perimiter of 44.2 cm.The width of the frame is seven tenths of its length what are the dimensions of the frame?
Answered by Penny Nom.
Proof by induction 2001-10-16
From John:
Can you help me with any of these?
  1. For any natural number n > 1, prove that

    (4n) / (n + 1) < [(2n)!] / [(n!)2].

  2. For any natural number n > 1, prove that

    1/sqrt(1) + 1/sqrt(2) + 1/sqrt(3) + ... + 1/sqrt(n) > sqrt(n).

  3. For any natural number n and any x > 0, prove that

    xn + xn - 2 + xn - 4 + ... + x-n >= n + 1.

Answered by Penny Nom.
Some algebra 2001-10-15
From James:
I cannot figure these out I was wondering if you could help me? I have no one to answer my questions.
  1. (7x2 – 3yz)2 – (7x2 + 3yz)2

  2. Use Pascal’s triangle to expand (2x – y)4

  3. 8x3 y - x3 y4

  4. (m + 3n)2 – 144

  5. 12x4 y – 16x3 y2 – 60x2 y3

  6. p3 q2 – 9p3 + 27q2 – 243

Answered by Peny Nom.
Squares of one digit numbers 2001-10-15
From Needa:
What two two-digit numbers are each equal to their right-most digit squared?
Answered by Penny Nom.
Rules of exponents 2001-10-14
From Carissa:
how do you work this out? Investigate the relationship between a,b,c and d if 2a*2b=4c/4d?
Answered by Leeanne Boehm.
Absolute Value 2001-10-14
From Susan:
I am a homebound teacher, and my nineth grade algebra I student is having trouble understanding absolute value. Please send me an idea about how to best help her. She may be out of the classroom the entire year.
Answered by Chris Fisher.
 
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