Mathematics - 2 October 2007

There are nine cards arranged in 3 rows of 3 cards each like the diagram below:

[ ] [ ] [ ]
[ ] [ ] [ ]
[ ] [ ] [ ]

1) Every ace borders a king and a queen.
2) Every king borders a queen and jack.
3) Every queen borders a jack.
4) There are atleast 2 aces, 2 kings, 2 queens, and 2 jacks.

What kind of card is in the center?

Thanks.

2007-10-02 09:43:38 · 4 answers · asked by Anonymous

and high water levels is 200 levels is 200 feet. Suppose at midnight Jan 1, the depth of the water is 900 feet. High tide is at 6am. Given a formula of water y as a function by
y = D + Acos ( B ( t - C ) ).

What is the value of A, B, C, D?

2007-10-02 09:41:29 · 1 answers · asked by simonkf2002 1

Find the abscissa of the midpoint of the line segment whose endpoints are:
a. (4, 8), (10,12)
b. (6,-6), (12, -4)

2007-10-02 09:41:26 · 1 answers · asked by Anonymous

2007-10-02 09:41:02 · 3 answers · asked by Autsy 1

if all the gold that has been produced in the last 500 years could be melted to a single cube, each side would measure about 16 m. How many cubic meters of gold is this?

note: If you know the answer can you please explain to me how you got it. Thank you.

2007-10-02 09:40:53 · 5 answers · asked by Anonymous

Please explain how u got this answer pretty please with a cherry on the top

2007-10-02 09:40:30 · 6 answers · asked by Slim24/7 5

Can u please show me how u get the answer.

2007-10-02 09:40:19 · 3 answers · asked by Doubledog 1

2007-10-02 09:39:44 · 2 answers · asked by Autsy 1

that is orthogonal to the plane through the points P = (3, -3, 0), Q = (5, -1, 2), and R = (5, -1, 6).

2007-10-02 09:38:37 · 1 answers · asked by garrett m 1

i really thought i knew how, but apparantley i done. how do you multiply and add fractions. for example: 16/6 and 12/6. yes, please leave them improper..

2007-10-02 09:32:51 · 6 answers · asked by a :] 2

need help!1 how do i solve these? thank you!11

Find/Solve for X:

1. x²+4x=7
2. -12x²+25x +12=0

Convert to a + bi form:
1. (square root of -12) - (square root of -48)

2007-10-02 09:12:41 · 3 answers · asked by Anonymous

two ellipses are drawn on the same graph, x^2/3 + y^2 = 1, and x^2 + y^2/3 = 1. How would I find the area contained within the two ellipses? ie. the area in the middle that both ellipses overlap on. I'm trying to use integrals and the area between curves, but i'm getting these ridiculously complicated integrals. Can anyone help? Thanks very much!

2007-10-02 09:09:17 · 5 answers · asked by Wael K 2

a. y=ln[cos (5x)] + ln 7
b. y= e^3x^2\x^2 + 25
c. p= (2q-5)^3(square root of (4q+1)
d. w=s^3 (tan(3s+1))

please try to show as much work as possible because i'm so lost.

2007-10-02 09:00:30 · 1 answers · asked by dee j 1

i can easily integrate to find volumes around the x-axis and other x lines but when it cimes to the y-axis and there is more than one line and i must find the volume betwwen when rotated i get very confused!
for example can someone guide me through this slowly- you will be greatly appreciated as i am taking as level maths in year 9 and i need all the help i can get thanx:

find the volume generated when the region bounded by them curves y=2x(squared) and y= 3-(x squared) is rotated 180 degrees about the y -axis

sorry if this is not clear

thanx connor!

2007-10-02 08:42:13 · 2 answers · asked by Connor G 1

2007-10-02 08:39:00 · 12 answers · asked by Anonymous

Thank you!

2007-10-02 08:28:51 · 6 answers · asked by Anonymous

the curve g(t)=(-1+3t,2-3t) is a tangent of h(t). Find where h(t) and G(t) intersect. i.e. find the points such that g(t1)=h(t2) for some t1,t2, in the reals.

i've shown its a regular parametrized curve. i've tried finding the intersecting point by -1+3t=t^3 and 2-3t=t^2-t
but i'm not really gettin gud answers so im thinkn if im doin it wrong, not quite sure wat the question means by t1 and t2. ???

2007-10-02 08:26:47 · 1 answers · asked by lookincool87 1

Here are my steps:

dx = e^t + e^-t
dy = -2

then

L = ∫ √ [ (e^t + e^-t)² - (-2)² ] dt

= ∫ √ [ (e^2t) +( 2*e^t *e^-t) + (e^-2t) - 4 ] dt

2*e^t *e^-t = 2

so

L = ∫ √ [ (e^2t) - 2+ (e^-2t) ] dt

Which is the same as

L = ∫ √ [ (e^2t) - (2*e^t *e^-t)+ (e^-2t) ] dt

This is a perfect square

L = ∫ √ [ (e^2t ) - (e^-2t) ]² dt

L = ∫ (e^2t ) - (e^-2t)

= (1/2)e^2t + (1/2)e^-2t

The integral is from 0 to 3

the answer is (1/2) (e^6 + e^-6)

Is this right? I don't want the answer in decimals. To keep it in this format is okay.

2007-10-02 08:21:06 · 3 answers · asked by ? 3

Three merchants have invested their money in a partnership, whom to make the problem clearer I will mention by name. The first was called Piero, the second, Polo and the third Zuanne. Piero put in 112 ducats, Pollo 200 ducats, and Zuanne 142 ducats. At the end of a period of time they found that they had gained 463 ducats. How much does each man receive so that no one shall be cheated? You cannot Split a ducat...


Does ANYONE have ANY idea how to solve this???

2007-10-02 08:19:32 · 3 answers · asked by heythere 2

I have to do this equation step by step...I have a few answers but I don't understand what is happening in each step...can someone solve this equation and explain step by step what is happening....so far I have 2 different answers...

1) cosh(x) = 0...but it can't equal 0 (why?..i don't understand)

2) people sustituted the cosh(x) for a 1, then solved the equation...WHY did they substitute the cosh(x) for a 1...what's the rule there...

Thank you...

2007-10-02 08:10:01 · 3 answers · asked by Gary S 1

My math teacher told me to find these but I cannot figure it out. Can someone help me? I have tried a whole bunch of different ways, including changing to decimals, and radians etc., but I cannot find how to get the answer.

I know the answers are 4/5 and -4/5, but I need to know how to get there.

2007-10-02 08:09:37 · 2 answers · asked by mark p 2

NO TWO SNOWFLAKES ARE ALIKE.

A container has an infinite number of snowflakes. I randomly pick 1 snowflake from this container. What is the probability that my snowflake is unique?

2007-10-02 08:09:33 · 9 answers · asked by Dr D 7

a. Less than or equal to -1
b. between 0 and 1
c. greater than or equal to 1

2007-10-02 07:50:40 · 8 answers · asked by missy1525 1

7x2 + 49x + 42

2007-10-02 07:48:31 · 5 answers · asked by alton l 1

for my science homework...

2007-10-02 07:38:46 · 3 answers · asked by Anonymous

I am trying to answer sec2x = 2 / √3

I did
1/cos2x = 2/√3
√3/2 = cos2x

Then I put cos-1(√3/2) in my calculator and got a math error, what am I forgetting?

2007-10-02 07:37:48 · 1 answers · asked by biscuit.heads 2

Hi all, I have two problems that i need help with, please explain throroughly if you can

1. find the second derivative of y=e^cos9x
2. An avian disease is decimating the bird population of a South Pacific island. The population at any time (t) is roughly approximated by the equation y=A * e^cos( π /2 * t)
where t is in years, t is between 0-2, and A is the popluation at t=0.

Find the rate at which the population is declining at t=1 (in terms of A)

2007-10-02 07:36:24 · 5 answers · asked by Anonymous

2007-10-02 07:25:29 · 5 answers · asked by Laurie S 1

x3 – 2x2 + 7x – 14

2007-10-02 07:24:56 · 2 answers · asked by Ivyâ?¥ Left Myspace 1

A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion, x(t) where t is in seconds and x in centimeters, is given below.
http://img218.imageshack.us/img218/4584/3335wr2.gif
x(t) = 10 sin(t)

(a) Find the velocity, v, and acceleration, a, at time t.

v(t) =

a(t) =

(b) Find the position, x, velocity, v, and acceleration, a, of the mass at time t = pi/ 3.

x ( pi)/3) =

v ( pi)/3) =

a ( pi)/3) =

In what direction is it moving at that time?
The particle is moving to the right, because of (velocity=0, velocity<0, velocity>0, acceleration=0, acceleration<0 or aceleration>0)

2007-10-02 07:22:52 · 2 answers · asked by ineedhelpbadly 2