Mathematics - 23 October 2007

The Question: A rectangular pen is to be constructed from 1500 feet of fencing. One pair of opposite sides must be double thickness of fencing while the other pair of opposite sides must be triple thickness. Find the dimensions of the pen to maximize its area.

What I tried:

A = B*H
1500= 3B * 2H
H= (3B/2)-1500

A= 3B * 2(3B/2)-1500

I don't know what i did wrong, but once i enter it into the calculator to find the max (Note: im in precalc not calculus so we still use the calculator for this kind of problem) It doesn't give me a specific max which leads me to think that i did something wrong up above trying to find the function.

Can someone tell me what I did wrong?

2007-10-23 17:34:47 · 1 answers · asked by Anonymous

A second-run movie theater sells matinee tickets for $4 on weekdays before 6 pm. The theater sells regular tickets for $6 on weekends and weekdays after 6 pm. In one week, the theater earns $6000 from ticket sales. The theater sold 890 more regular tickets than matinee tickets. How many matinee tickets were sold?

2007-10-23 17:28:38 · 7 answers · asked by ShaZ 1

lim as x approaches infinity (+) ...ln [(x^.5) + 5] divided by ln x...i believe it is zero...i may be wrong please help...i need by tomorrow !!

2007-10-23 17:01:54 · 3 answers · asked by Kenichi S 2

2007-10-23 16:54:25 · 1 answers · asked by mathstudent 2

seven and forty-one ten thousandths

2007-10-23 16:53:50 · 3 answers · asked by susan j 1

If you have G = (V, T, S, P) where V= { a, b, A, B, S}, T = {a, b}

S is the start symbol, and P = {S --> ABa, A --> BB, B --> ab, AB -->, AB -->b}.

Can someone please explain how to get to the production portion of this problem as simply as possible. I just don't understand how to take information from one set and the other and make the sets to get to the production answer of this problem.

2007-10-23 16:38:40 · 1 answers · asked by Mary C 1

i first asked this question on http://answers.yahoo.com/question/index;_ylt=AjQxaxmnAQxwPQVIzFpolhnsy6IX;_ylv=3?qid=20071023083937AAfnneT

altho i do get some of the work. I dont get all of it. For example, i dont get this part.then just concentrate on the numerator...

1 = [A(x-1)(x+1) + Bx(x+1) + Cx(x-1)]

substitute x = 0 , 1 & -1to get the values of A,B & C...

at x = 0
1 = -A

at x = 1
1 = 2B

at x = -1
1 = 2C

thus
1/(x^3 - x) = (-1)/x + (1/2)/(x-1) + (1/2)/(x+1)

so what is A,B, and C, then? do i solve further for it or something? I'm trying but I am just really bad at math.
:(
so please help. Thanks

2007-10-23 16:36:13 · 1 answers · asked by Meow* 2

MATH

True or False

Prime factoriziation renames a composite number as the product of prime factors __________


next
there are 24 students in Mrs.walkers class. she wants to divide the class evenly into groups of at least 4 students . write the ways in which she can divide the class ????
_____________________________________________________________________________________________________________________________________________

2007-10-23 16:35:17 · 6 answers · asked by Jordan W 1

Suppose that 3 ≤ f’(x) ≤ 5 for all values of x. Show that 18 ≤ f(8) – f(2) ≤ 30.

2007-10-23 16:22:32 · 2 answers · asked by Britt R 1

its a story problem. I got the correct answer (at least I think it's the correct answer) but I didn't use an algebraic formula. Can you explain how to do the problem in algebraic terms. THANKS:

Geri had an average of 80% on four tests. What score must she get on the next test to raise her average to 83%.

I know the problems not too hard, but whenever I have to think of a way to write it algebraically it always seems to take forever. UGH! maybe I'm just not very good at these things.

How would you do it algebraically?

2007-10-23 16:21:45 · 10 answers · asked by Anonymous

I Need help finding the critical points for 11+30x+18x^2+2x^3. how do i factor wit 4 sets of numbers?

2007-10-23 16:20:41 · 3 answers · asked by sleepingdogslay 1

The two top-selling DVDs of 2003 grossed a combined total of $600.9 million. the top-selling DVD grossed $39.9 million more than the DVD ranked second. ow much did the top-selling DVD gross?

2007-10-23 16:19:07 · 3 answers · asked by ShaZ 1

If a complex number z is represented by the point P as shown in the figure below and the circle is a unit circle, then which of the eight regions (R, S, T, U, V, W, X, Y) contains the reciprocal of z. Prove your answer.

2007-10-23 16:18:12 · 1 answers · asked by Keytosuccess 1

the side have lengths a,b and, c. The ratio of b to a is 3:5, and the ratio of c to a is 7:5. Find the length of each side

I NEED HELP and like all the steps to figure this out plz!!

2007-10-23 16:17:12 · 3 answers · asked by TrackStar22 2

could someone give me at least the steps or how to get the steps to doing this problem?

lim as x goes to infinity of the function

(ln((square root of x) +5)) / ln(x)

Note it is not the square root of the quantity (x+5); it is only the square root of x then the plus five is outside of the square root.

2007-10-23 16:16:39 · 3 answers · asked by Anonymous

why we can't say P= 0.000?

Thank you

2007-10-23 16:13:23 · 2 answers · asked by bluesky8 1

tan 2x + 2sin x = 0

2007-10-23 16:01:34 · 1 answers · asked by GetSmart =) 2

Show that the functions in this interval have exactly one zero in the given interval,

~ This is inside the rolle's theorem, Mean Value Theorem section in calculus.

F(x)= x + (sin(x/3))^2 -8 on the interval (-infinity, infinity)

2007-10-23 15:59:38 · 1 answers · asked by whatsntomake 1

2007-10-23 15:57:14 · 6 answers · asked by Trickster 1

Factor Completely
x^2 – 5x – 84

2007-10-23 15:53:45 · 5 answers · asked by sumguy 1

Are there different methods to integrate indefinite integrals?

Sometimes it takes too long to think about the question and sometimes I just don't know how to do it.

So instead of integration by substitution, parts, trigonometric substitution, or partial fractions, what else can I use?

2007-10-23 15:52:22 · 3 answers · asked by UnknownD 6

Compute φ(1000000).

I found that the prime factorization of 1000000 is 5^6 * 2^6. Then I did
1000000(1-.5)(1-.2) and came up with

400000 for an answer.

2007-10-23 15:52:06 · 2 answers · asked by 3545 2

can u help me
my teacher does one example and thats it...
y=sec^2*x - tan^2*x


bonus
find a formula for the nth derivative.
y=1/(Square root of x)

2007-10-23 15:42:35 · 2 answers · asked by srokanator 3

Identity sucks, i need help step by step would help thanks

2007-10-23 15:39:46 · 3 answers · asked by Anonymous

use the second derivative test to find the relative extrema.
h(t)= t-4sqrt t+1

2007-10-23 15:37:48 · 3 answers · asked by laweezer08 1

A nurse comes on duty and checks a patient's chart where the doctor's order read, "Administer 5L dextrose solution over a period of 24 hours." How much solution will be left after 9 hours?

2007-10-23 15:35:27 · 14 answers · asked by Sydney.♥ 2

f(x)= cos (e^x) +e ^x sin (e^x)
-e^x sin (e^x) + e^x sin (e^x) + e^2x cos (e^x)
The part I don’t get is why is e^x sin(e^x) there
Isnt it just : -e^x sin (e^x) + e^2x cos (e^x)

2007-10-23 15:30:43 · 2 answers · asked by pnetecos 1

2007-10-23 15:29:48 · 4 answers · asked by Anonymous

How would I prove this is 4 or more steps.

csc^2 Θ – cot^2 Θ = cot^2 Θ (1-cos^2 Θ)
sec^2 Θ


(csc -cot is all being divided by sec) (and you cant mess with the right side)

2007-10-23 15:27:39 · 2 answers · asked by Anonymous

ok, so here is the Question im stuck on.... "the graph of the function f(x)= 2x^3 - 3x^2 +x +1 is translated to its image, g(x), by the vector [1, -1]. Write g(x) in the form g(x)= ax^3 + bx^2 + cx +d "

ok, so basically you need to translate f(x)= 2x^3 - 3x^2 +x +1 to the right one unit and down one unit.... i dont know how to do this for a polynomial of third degree... can anyone please show me how... thanx alot...

2007-10-23 15:19:02 · 2 answers · asked by john doe 2