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#1 Re: Help Me ! » Lattice Point Question » 2014-11-09 03:50:36

SolarDevil wrote:

What does a question mean if a variable is inversely proportional to another variable?

Ex: You are given that x is directly proportional to

, and y is inversely proportional to
.  If the value of x is 3 when z is 12, what is the value of x when z is equal to 75?  Express your answer as a common fraction.


Could someone help?

#2 Re: Help Me ! » Lattice Point Question » 2014-11-09 03:39:21

What does a question mean if a variable is inversely proportional to another variable?

Ex: You are given that x is directly proportional to

, and y is inversely proportional to
.  If the value of x is 3 when z is 12, what is the value of x when z is equal to 75?  Express your answer as a common fraction.

#3 Re: Help Me ! » Lattice Point Question » 2014-11-09 03:31:41

Hmm... the answer was 29. What did we miss. I get 28 as well after counting. Maybe the origin?

EDIT: oh, I did miss the origin.

Thanks!
SolarDevil

#5 Re: Help Me ! » Lattice Point Question » 2014-11-09 03:20:14

Yes we are looking at the area on top that is surrounded by the two graphs. It as an oval end on the top and a pointy end on the bottom (the pointy end is on (0,0))

#6 Re: Help Me ! » Lattice Point Question » 2014-11-09 03:15:05

ShivamS wrote:
bobbym wrote:

Bounded meaning what here?

I'm assuming he means that there is some real number P such that |f(x)|≤P for all x in the domain of definition of f. So it can't be infinite.


Yup.

#7 Re: Help Me ! » Lattice Point Question » 2014-11-09 03:12:13

Surrounding the figure that is formed by the intersection of the two graphs

#8 Re: Help Me ! » Lattice Point Question » 2014-11-09 03:02:22

Well, it is bounded so no. When I graph it, it forms a weird figure. I think they mean by bound as the surrounding stuff around the enclosed region.

Thanks,
SolarDevil

#9 Help Me ! » Probability Question » 2014-11-09 02:32:00

SolarDevil
Replies: 1

Carson flips over the cards of a standard 52-card deck one at a time. What is the probability that he flips over the ace of spades before any face card (jack, queen or king)?

Thanks,
SolarDevil

#10 Help Me ! » Euclidean Algorithm Problem » 2014-11-09 02:28:47

SolarDevil
Replies: 8

What is the answer to this question?

For how many integers

satisfying
is it true that the fraction
cannot be simplified?

Thanks,
SolarDevil

#11 Help Me ! » Lattice Point Question » 2014-11-09 02:25:37

SolarDevil
Replies: 21

What is the answer to this question?

A lattice point is a point whose coordinates are both integers. How many lattice points are on the boundary or inside the region bounded by

and
?

Once I get the answer I can review the solution.

SolarDevil

#13 Re: Help Me ! » Trig Problem » 2014-11-03 13:02:05

Nevermind I got that one!
However could I have help on another one?

In right triangle

, we have
and D is the midpoint of
.  If AB = 7 and BC = 25, then what is
?

#14 Help Me ! » Trig Problem » 2014-11-03 11:59:48

SolarDevil
Replies: 4

is a regular tetrahedron (right triangular pyramid).  If M is the midpoint of
, then what is
?

#15 Re: Help Me ! » Interesting Geo Problem » 2014-10-30 09:20:08

Nevermind! I got it! For those wondering, you just find the ratios of a sphere because as you get more faces it becomes more like a sphere!

Solar

#16 Help Me ! » Interesting Geo Problem » 2014-10-29 10:47:41

SolarDevil
Replies: 1

Polyhedron P is inscribed in a sphere of radius 36 (meaning that all vertices of P lie on the sphere surface). What is the least upper bound on the ratio
volume of P / surface area of P

In other words, what is the smallest real number t such that
volume of P/ surface area of P is less than or equal to t
must be true for all polyhedra P that can be inscribed in a sphere of radius 36?

#17 Re: Help Me ! » stuff in a box » 2014-10-29 10:45:30

Hi droid347! Welcome to the forum! and... yes it is a good problem

Solar.

#19 Re: Help Me ! » stuff in a box » 2014-10-28 11:48:12

V=1/3*base area*height

V=5/3*base area

so

Area of base= rt29*3/2

So V=5rt29/6

oops 5rt29/6

Solar

#20 Re: Help Me ! » some 3d stuff :D » 2014-10-28 11:43:03

Nevermind. I have got it solved big_smile

Solar

(btw this is aops geo stuff)

#21 Re: Help Me ! » Tautologies » 2014-10-28 11:41:50

That would be very helpful!

#22 Re: Help Me ! » Tautologies » 2014-10-27 10:53:20

Haha... I understand what truth tables are but I don't get what symbols he is using to try to explain a tautology.
¬A∨(B→C)   ≡  ((¬A∨B)→C)
¬A∨(¬B∨C)  ≡  ¬(¬A∨B)∨C
(¬A∨¬B)∨C  ≡  ¬(¬A∨B)∨C

I could write it out by hand but that would v represent?

#23 Re: Help Me ! » Calc Problem for Class » 2014-10-27 10:50:37

I believe that is it. Thanks bob bundy. big_smile

Also, thanks bobbym for straightening my LATEX. big_smile

#24 Re: Help Me ! » some 3d stuff :D » 2014-10-27 10:48:44

Hmmm... well. When I enter it in it says that x is incorrect. What is wrong?

#25 Help Me ! » Calc Problem for Class » 2014-10-26 06:14:56

SolarDevil
Replies: 3

Hi! Here is a calc problem I have been having a hard time on.

Let

and let g(x) be an antiderivative of f(x). If g(5)  =  7 then find g(1).

Solar

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