Math Is Fun Forum

Answers:-

1. 6 x 10^(-6) i.e. 6 x 1/100,000 = 0.000006

2. Question not clear. Is it convert 11111110 into binary, then divide by 2?

3. 22 1/3 = 67/3, 3 3/8 = 27/8;   67/3 divided by 27/8 is
67/3 x 8/27 = 536/81.

4. 67/3 - 27/8 = [536-81]/24 = 455/24

5. Result of 3 + 22 1/3 = 536/81 + 67/3 = [536*3 + 81*67]/243
= 7035/243 = 2345/81

[*** in a hurry...didn't check for errors!***]

Go to this pdf. And this link.

Problem # k + 48

A rectangular sheet of paper is folded so that two diagonally opposite corners come together.  If the crease formed is the same length as the longer side of the sheet, what is the ratio of the longer side of the sheet to the shorter side?

No, 10^100 = Gogool
10^33 = Decillion
10^63 = Vigintillion
10^303 = Centillion
10^Gogool = Gogoolplex.

S = ut + at²/2, u=0
S = (32)(5)²= 32*25 = 800
Therefore, after 5 seconds, the stone is (1050-800)=250 feet above the ground.
When S=1050, it hits the ground.
Therefore, 1050=(32)*(t²)
t² = 1050/32 = 32.8125
t = 5.7822 Seconds (approximately)

(1)While working as a television news cameraman, I arrived at an accident scene, and a cameraman from another station pulled up behind me. As I parked the news cruiser, I heard a policeman on the scanner using the radio phonetic alphabet to alert other officers. "Be aware that the Mike Echo Delta India Alpha has arrived," he said.

I approached the officer, looked him in the eye and said, "You might be surprised to know that some of us in the Mike Echo Delta India Alpha can Sierra Papa Echo Lima Lima."

(2)A famous football coach was on vacation with his family in Maine. When they walked into a movie theater and sat down, the handful of people there applauded. He thought to himself, "I can't believe it. People recognize me all the way up here."

Then a man came over to him and said, "Thanks for coming. They won't start the movie unless we have ten paying people or more."

(3)A little boy watched, fascinated, as his mother gently rubbed cold cream on her face.

"Why are you rubbing cold cream on you face, mommy?" he asked.

"To make myself beautiful," said his mother.

A few minutes later, she began removing the cream with a tissue.

"What's the matter?" he asked. "Are you giving up?"

(4)While a friend and I were visiting Annapolis, we noticed several students on their hands and knees assessing the courtyard with pencils and clipboards in hand.

"What are they doing?" I asked our tour guide.

"Each year," he replied with a grin, "The upperclassmen ask the freshmen how many bricks it took to finish paving this courtyard."

When we were out of earshot of the freshmen, my friend asked our guide: "So what's the answer?"

The guide replied: "One."

(5) Imagine you are in a sinking rowboat surrounded by great white sharks. How would you survive?

(Scroll down for the answer)
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Stop imagining!

(You may groan now)

Go here. The book is quite interesting. I'd love to read it. I saw the table of contents and I am impressed. $26.37 --- worth it! I am not sure whether any free downloadable version is available on the net. My guess - there isn't!

Problem # k + 46

What is the largest 2-digit prime factor of the binomial coefficient 200C100?

Hi iluvOLI4eva,

Yes, that appears right. We can do by concentrating on the last 20 digits. That's made my job much easier. The point I wanted to prove was that we get an additonal digit in the sequence of the magic number ....................................893380022607743740081787109376,
by multiplying the power of 2 by 5 each time.
2^4 ends in 6.
2^20 ends in 76.
2^100 ends in 376.
2^500 ends in 9376.
2^2500 ends in 09376.
2^12500 ends in 109376
2^62500 ends in 7109376
2^312500 ends in 87109376 (???) and so on.
That is, 2^(4*5^n) gives n+1 digits of the magic number.
That is quite a pattern, isn't it?
I have no experience of working in Unix or any other OS. I belong to the pre IT revolution era

v = 5t²+2t
vdt = (5t²+2t)dt
Integrating,
vt = 5t³/3  + t² + c
vt = S,
S = 5t³/3  + t² + c,
When time is zero, displacement is zero.
Therefore, 0 = 0 + 0 + c
c=0
S = 5t³/3  + t²
Put t = 2,
S = 40/3 + 4 = 52/3
Put t=1,
S= 5 /3+ 1 = 8/3
Therefore, the distance travelled in the 2nd second = 52/3-8/3 = 44/3

It may not be true that you are bad at Math, Alisha...the topic we're discussing is not taught at School...simple as that