Math Is Fun Forum

I may quite possibly be wrong, but I interpret the problem like this:

let the current time be T minutes. T is measured in minutes.

let the number of minutes be 0 at noon.

Therefore, T is the number of minutes that have passed since noon.

Writing 3PM in terms of minutes past noon:

3PM = 3 * 60 minutes = 180 minutes

Translating the given information into an equation:

T - 50 = 4(180 + T)

Solving for T:

T - 50 = 720 + 4T

3T = -770

T = -256.667

Writing 6PM in terms of minutes since noon:

6PM = 6 * 60 minutes = 360 minutes

let X be the amount of minutes needed to get to 6PM from the current time.

We know now that:

-256.667 + X = 360

X = 385.667

Therefore it is about 386 minutes to six o'clock.

I hate those stupid questions that say:
How many ways can you arrange a $10, $20, $50, and $100 note so that the total adds up to $500 etcetc.
They always appear on those yearly competition tests and stuff...>_<
How are these questions actually done? Is it possible to use simple algebra to explain them or must they be all done in incomprehensible calculus/algorithmic talk?

Let's say that you were God, or you controlled the entire Earth. What would you do if you could do anything to it?

For example, would you end world hunger? Or perhaps, give yourself as much wealth as possible? Would you alter the seasons? Would you make the Earth warmer?

There are many things that one could do in this position. What I'm asking you, however, is what you would do if you were the largest and biggest source of power imaginable, and could destroy or rebuild the Earth by clicking your fingers. I'm interested in what you would do, however, and what you think the right thing to do.

Then, when you've done that, consider this; You can only change one aspect of the Earth in one way. What that change is is up to you.

Find Fourier transform

x(t)=1/(1+(t/3)^2

Thank you

Please help simplify the expression:

      X5*X7
   

      THANKS..

Please convert the equation into exponential form:

   X=log4Y

   Thanks

95. I have four wings, but I cannot fly, I never laugh and never cry; On the same spot I'm always found, toiling away with little sound. What am I?

94. Dr. Evelyn Williams, a London-born New York dentist, was preparing to take a wax impression of the right lower teeth of his patient, Dorothy Hoover. Silently, the door behind him opened. A gloved hand holding an automatic appeared.
Two shots sounded. Miss Hoover slumped over, dead.

--
"We've got a suspect," Inspector Winters told Dr. Haledjian at his office an hour afterward. "The elevator boy took a nervous man to the fifteenth floor -- Dr. Williams has one of six offices on that floor -- a few moments before the shooting. The description fits John 'Torpedo' Burton.
"Burton is out on parole," continued the inspector, "I had him picked up at his rooming house. As far as he knows, I want to question him about a minor parole infraction."
Burton was ushered in and angrily demanded, "What's this all about?"
"Ever hear of Dr. Evelyn Williams?" said the inspector.
"No! Why?"
"Dorothy Hoover was shot to death less than two hours ago as she sat in the chair in Dr. William's office."
"I've been sleeping all afternoon."
"An elevator operator says he took a man answering your description to the fifteenth floor a moment before the shots."
"It wasn't me," snarled Burton indignantly, "I look like a lot of guys. I ain't been near a dentist's office since Sing Sing. This Williams, I bet he never saw me, so what can you prove?"
"Enough," snapped Dr. Haledjian, "to send you to the chair!"

What was the basis of Haledjian's remark?

91. The thieves spent 6 hours in the home of Ted Duda. At first they searched the house, trying to find where he hid his huge diamond, valued at half a million dollars.
Then they tried beating the information out of him. They fled at dawn, fearing detection.
Fatally hurt, Duda crawled to his desk and typed a note to his partner, John Madden. In a desperate race to type it before he bled to death, he near blindly typed his death note.

It read:

John -- four men tried to make me tell where I had hidden the diamond. At first they looked through the house, raving like madmen. Then, in desperation, the barbarians split open the cat! When all failed, they beat me, but I did not tell. I'm dying. The diamond The diamond is hidden in the vane."

"Duda died this morning," Inspector Winters told Dr. Haledjian. "We have his murderers, but not the diamond."
The inspector handed Haledjian a copy of the death note. "We took down the vane, the weathervane, a math, but there was nothing inside it," the inspector said, "We're still searching the house."
Haledjian read the note and said, "You also failed to find the body of the cat, but you did find a broken barrel of liquor."
"Why, yes," said the inspector. "The thieves were throrough. They broke the barrel and every bottle in Duda's little wine cellar."
"How many walking sticks did Duda own?"
The inspector looked puzzled. "One."
"It must be hollow," said Haledjian. "You'll find the diamond inside it."

The inspector found the diamond, but how did Haledjian know?