Mathematics - 14 November 2007

Can you figure out this eqation??????????
1.A 'snooker' table (measuring 8 metres by 4m) with 4 'pockets' (measuring 0.5m and placed at diagonal slants in all 4 corners) contains 10 balls (each with a diameter of 0.25m) placed at the following coords:

2m,1m...(white ball)
...and red balls...
1m,5m... 2m,5m... 3m,5m
1m,6m... 2m,6m... 3m,6m
1m,7m... 2m,7m... 3m,7m


The white ball is then shot at a particular angle from 0 to 360 degrees (0 being north, and going clockwise).
Just to make it clear, a ball is 'potted' if at least half of the ball is in area of the 'pocket'

Assuming the balls travel indefinitely (i.e. no loss of energy via friction, air resistance or collisions), answer the following:

a: What exact angle/s should you choose to ensure that all the balls are potted the quickest?
b: What is the minimum amount of contacts the balls can make with each other before they are all knocked in?
c: Same as b, except that each ball - just before it is knocked in

2007-11-14 23:53:45 · 1 answers · asked by ng18 5

1. Is there a 1-1-correspondence between the set of irrational nos. and the natural nos.? if so, how?

2. How would u construct a 1-1-c between Natural and Real nos?

2007-11-14 23:40:07 · 6 answers · asked by confused13 2

If we are given the co-ordinates of the circle and the radius, and the co-ordinates of the rectangle, then how can we prove that the circle and rectangle are over lapping?Java code appreciated!thanx

2007-11-14 23:12:59 · 3 answers · asked by the g 1

2007-11-14 22:00:49 · 2 answers · asked by Anonymous

1) Prove that 3^(1/2) is a real number.
2) Prove that 3^(1/2), 5^(1/2), 6^(1/2) are irrational. Evaluate [2^(1/2)+3^(1/2)]^2 and deduce that 2^(1/2)+3^(1/2) is irrational.
3) Prove that p^(1/2) is irrational for any prime number p. Hence prove that n^(1/2) is irrational unless n is a perfect square. Hence show that n^(1/2)+m^(1/2) is rational if and only if both n^(1/2)+m^(1/2) are rational.

2007-11-14 21:55:17 · 2 answers · asked by David C 1

There are two racers with carrying a 3-digit-number each. The difference between the two numbers is 378, and the sum of all the digits in one number is 12, neither racer is carrying a number with a "0" on it. What are the two numbers they are carrying?
Show your work too, please!!!

2007-11-14 21:40:13 · 3 answers · asked by omgimcrazy 2

By providing a counterexample to one of the field axioms prove that the set of irrational numbers does not form a field.

2007-11-14 20:44:08 · 5 answers · asked by Anonymous

thnnnnxxxxxxxxxxxxxxxxxxxxxxxxxxx

f(x) = –2x^8+8x^7+5x^6+5x^5

f '(1) =

2007-11-14 20:39:20 · 3 answers · asked by ? 1

"Women who attend religious services are about 80 percent as likely to to die as those not regulary attending. Discuss tthe extent to which each of the following three apply to this quote:
1. the baseline risk is missing
2. the time period of the risk is missing
3. the reported risk is not necessarily your risk

Any help would be appreciated. Thanks.

2007-11-14 19:34:55 · 1 answers · asked by Chris 3

2007-11-14 19:27:55 · 10 answers · asked by Fish Man! 6

log(sub 500)250

I really don't understand logarithms at all.

Explain??

2007-11-14 19:19:27 · 3 answers · asked by Abby 1

Given

x(k+2) = ax(k+1)+bx(k)
+ce(k+1)+de(k)

for all integer k > 0, where a, b, c, and d are known constants.

Express x(k) in terms of x(1), x(2), e(1), e(2)..., e(k-1).

2007-11-14 18:40:10 · 1 answers · asked by Anonymous

This is the only problem I can't figure how I got wrong on my last test.

1.) A lakefront runs east-west. A man in a rowboat is 5 miles due north of point A on the shore. He wishes to get to B, 5 miles due east of A, in the least time. He is able to row 3 miles per hour and walk 5 hour. What is the minimum time for the trip in minutes?

2007-11-14 18:36:31 · 4 answers · asked by Broken heart <3 1

Help Me with this problem its about arithmetic sequence it says " Find the term and give a formula for the sequence".

1. The 10th term is 31; 14th term is 43

2007-11-14 18:35:50 · 4 answers · asked by rambo 1

Please show equation used and steps.
The manager of an Eckerd drug store expects to sell 600 bottles of a certain deodorant each year. Each bottle costs the manager $4.00 and the ordering fee is $30 per shipment. In addition, it costs .90 cents per year to store each bottle. Assuming that the deodorant sells at a uniform rate throughout the year and that each shipment arrives just as the last bottle from the previous shipment ids sold, how frequently should shipments of the deodorant be ordered to minimize the total cost?
If a graph was made with cost function as a function of x (where x represents the frequency of shipments). How would this be done?
Please show equation used and steps.

2007-11-14 18:09:31 · 2 answers · asked by Anonymous

Please show equation used and steps.
You need to fence in a rectangular play zone for children. What is the maximum area for this play zone if it is to fit into a right-triangular plot with sides measuring 4 meters by 12 meters?
If a graph was made with area function as a function of x( where x represents the length of the play zone. How would this be done?
Please show equation used and steps.

2007-11-14 18:00:47 · 1 answers · asked by Anonymous

A merchant pays duty on certain goods at three different places. At the first he gives 1/3 of goods, at the second 1/4(of the remainder), at the third 1/5(of the remainder). The total duty is 24. What was the original amount of goods???

I am confused?? Do I multiply all the fractions, if so why? Do I subtract?? Is the answer 40? Is the answer 1440? WHY AND HOW PLEASE???

2007-11-14 17:55:56 · 10 answers · asked by busy bee 2

a and b are constants. additional information given was acot(theta 1) + bcot(theta 2) = 150. I know how to differentiate L, but I just can't explain why theta 1 would equal theta 2.

2007-11-14 17:43:33 · 2 answers · asked by theone 2

A radioactive element sodium-24 has a half-life of 17 hours and is used to help locate obstructions in blood flow. A procedure requires 1.2 grams and is scheduled to take place in 24 hours.

At what rate is the sodium-24 decaying?

What is the minimum amount of sodium-24 that must be on hand now?

2007-11-14 17:34:50 · 2 answers · asked by Mixed Asian 5

THe value of x in log(subscript 3) 3^(x-2) - log (subscript 2) 32 + log (subscript x) x^2 = 5 is:

A. -4
B. 0
C. 6
D. 8
E. None of these

2007-11-14 17:24:05 · 4 answers · asked by Anonymous

I need the steps and the answer

2007-11-14 17:15:19 · 3 answers · asked by Kainon 1

A company must manufacture a closed rectangular box with a square base. The volume must be 980 cubic inches. The top and the bottom squares are made of a material that costs 8 dollars per square inch. The vertical sides are made of a different material that costs 5 dollars per sqare inch.
What is the minimal cost of a box of this type?

2007-11-14 17:12:31 · 1 answers · asked by Anonymous

The function f(x)= 2 / (Ln(X) - 9) has
a horizontal asymptote y= ,
and a vertical asymptote x= .

2007-11-14 17:08:00 · 2 answers · asked by Anonymous

and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?

2007-11-14 17:02:41 · 4 answers · asked by Anonymous

My equation came out to be

Y=22x-120....and it was not correct....what did I do wrong?

2007-11-14 16:58:35 · 5 answers · asked by RedSparkle 1

the number of yards a NFL running back runs in a game has a mean of 80 yards with a standard deviation of 20 yards. a random sample of 5 running backs is selected and we are interested in xbar; the average yards run by the sample.

1. what is the probability that the average number of yards is above 100 yards? draw the graph related to the situation and shade in the appropriate area.

2. find the 85th percentile for the average number of yards.

4. the middle 95% of the average number of yards would fall between what values? "blank and "blank"

2007-11-14 16:57:59 · 2 answers · asked by liuj71 2

Is it 4x squared or 4x cubed?

2007-11-14 16:46:43 · 18 answers · asked by JESSICA s 1

2x + y = 5
x + y = -2

step by step
solve this

im VERY slow at comprehending

2007-11-14 16:32:30 · 9 answers · asked by hello 2

So far I've split it to ∫(cos x)(1-sin^2 x)^2, and it looked like a simple u substitution, but if you have u=1-sin^2 x, then du=2sinxcosx which doesn't work...so I'm not sure what I'm doing wrong.

2007-11-14 16:26:56 · 3 answers · asked by topher098321 2

information on how to find the vertex form would be more helpful then the actual answer

2007-11-14 16:19:35 · 3 answers · asked by chuck g 1