Mathematics - 21 September 2007

I got this question from my homework and I thought that instead of just doing trial and error technique, I might use some mathematical technique.

Would someone please tell me how to do "The sum of m and 6 is a multiple of 3. If the product of m and 6 is greater than 20, but less than 60, what is one possible value of m?"

How would you explain how to do this problem without trial and error?

I'm not sure, but I think this might require modular arithmetic. I'm completely new to that subject so please tell me in a very detailed explanation.

2007-09-21 14:29:13 · 4 answers · asked by UnknownD 6

Given that kx^3+2x^2+2x+3 and kx^3-2x+9 have a common factor, what are the possible values of k?

This is one of the question from my assessment book, please help step by step if you know how to get to the answer..10PTS!!

2007-09-21 14:20:22 · 2 answers · asked by Mortred 2

I was presented the question: (12 - 8j) / ((2 + j)^2). I got the answer (4 - 72j) / 25. The book however says it;s (-1 -3/2 j).

Who's correct?

2007-09-21 14:13:31 · 3 answers · asked by Matthew H 2

Please tell me how to do this.

2007-09-21 13:49:55 · 8 answers · asked by Anonymous

2007-09-21 13:02:44 · 7 answers · asked by Shannon B 2

2007-09-21 12:54:08 · 7 answers · asked by Anonymous

You are desgining a soft drink container that has the shape of a right circular cylinder. The container is to hold 16 fluid ounces. Find the dimensions that will use minimum amount of construction material?

2007-09-21 12:37:28 · 5 answers · asked by Kakak 1

2007-09-21 12:31:47 · 11 answers · asked by Anonymous

2007-09-21 12:29:18 · 13 answers · asked by Anonymous

the vectors (1,2,2) and (2,-2,1) in R^3 determine a plane P through the origin

True or false, the vector (3,0,3) lies in P
True or false, vector (2,1,-2) lies in P

im sure i can figure this out myself I just dont know the process on how to check if they belong in P.
if somone can explain the process then i should be good

2007-09-21 12:20:59 · 5 answers · asked by Anonymous

The mass m of a substance at time t is modelled by the equation m = m0e^-kt where m0 is the initial mass and k is a constant. After 20 years, 1/5 has decayed and 4/5 remain.

2007-09-21 12:20:49 · 6 answers · asked by Niall R 1

1. For the following equation, take any two points on the line and calculate the slope: y = 5x - 2.


....Please let me know if i have any mistakes:

y = 5x -2 ; is equivalent to: y = 5(1) - 2

So, the two points would be (5, -2) and (1, -2)

m(slope) = (y2 - y1) / (x2 - x1) = (-2-(-2) / (1-5) = (-2+2) / (1-5) = (0) / (-4). So would the solution or the slope be (0/-4) ?

2007-09-21 12:17:53 · 8 answers · asked by dana c 1

Hint: The General Term is Tn= (3/4) - (5n(n-1) / 8)

2007-09-21 12:17:36 · 1 answers · asked by MJ 3

i posted this in the wrong forum, this should be right

I need to differentiate these 2, can anyone help?

a) f (x) = 3x^3 - 2 / 2x

and

b) y = -8e^2-5x

I really dont get these so help would be appreciated, thanks

2007-09-21 12:13:50 · 2 answers · asked by jake p 2

f (x) = ln(1 - sin x)

2007-09-21 12:13:22 · 5 answers · asked by Niall R 1

2007-09-21 12:08:02 · 7 answers · asked by joseph c 1

2007-09-21 11:54:45 · 12 answers · asked by Anonymous

(7z-3x+3*(3y^2))
-------------------------
(5z+12+(7x^1/2)y)

2007-09-21 11:46:04 · 2 answers · asked by C.L. ~Raptors~ 4

I really don't know how to do this.....

A quartic function passes throught he points (-2, 45), (-1, 48), (0, 45), (1, 48), and (2,45). Determine the equation of the function that passes through these points.

10 points to the first person who can give me the answer.

2007-09-21 11:41:43 · 4 answers · asked by tmlfan 4

An american engineer undertakes a project in Europe to design and construct bridge pilings exactly as were done ikn the United States. Each piling required 20.0 cubic yards of concrete in the USA. If 42 pilings will be needed for the project, how many cubic meters of concrete will be required?



I'm stuck on this question. Can anyone help me please???
Thank you sooo much:)

2007-09-21 11:34:38 · 7 answers · asked by Natlsn12009 1

Some problems. Use the 68-95-99.7 to find the percentage of each heart rate in each categorie. With the the mean of 70, and a standard deviation of 15. Thanks.

Less than 55...
Less than 40...
Less than 85...
Less than 100...
Greater than 85...
Greater than 55...
Greater than 40.... and
Between 55 and 85.

If you could show your work for even one problem it would help a lot.

Thank-you!

2007-09-21 11:29:50 · 6 answers · asked by Anonymous

simplify

2007-09-21 11:24:04 · 10 answers · asked by joseph c 1

simplify

2007-09-21 11:23:18 · 7 answers · asked by joseph c 1

or computation, not sure of the word, for lottery works syndicate. There are 10 of us with 1 line each = 10 lines, how can we cover our lines with min/max numbers? ie. we have 3 numbers up on one line, how do I work out that we are guaranteed 3min on other lines etc. Can someone give me the formula as to cover all these lines. realise I may not have worded this properly, but relying on maths/numbers people will understand what I mean, basically want to cover all lines in the event of 3 or more numbers coming up. many thanks in advance.

2007-09-21 11:17:52 · 8 answers · asked by Anonymous

is that awesome???

But what does it mean?????????

2007-09-21 11:01:11 · 10 answers · asked by Fsf S 1

how do you know that 77 is not a square number? same question different wording

2007-09-21 10:51:51 · 5 answers · asked by Anonymous

i would like to know how to construct:
45 degree angles
105 degree angles
75 degree angles and
90 degree angles
can anyone please give me the rules of how to construct those angles or lead me to a website which will help me??i really need help thanks

2007-09-21 10:47:33 · 2 answers · asked by !urbeauty! 3

F(x)=(x^2+5x-24)/(3x^2-5x-28)

So far, all I've gotten is for (x^2+5x-24) to equal (x-3)(x+8) and now I'm stuck. Any help is appreciated. Thanks.

2007-09-21 10:28:52 · 3 answers · asked by Glenn M 1

Points are A (0,0) B (18,0) C (6,12)
Intersection of point of medians:
This point is called the ___________of the triangle.
Intersection point of the altitudes:
This is called the______________of the triangle.
Intersection point of prependicular bisectors:
This is called the ___________of the triangle.
DO not understand the questions.

2007-09-21 10:11:20 · 1 answers · asked by Karen R 1

y = sin^(2) x
y equals sine squared x

How do you find the derivative of this? Please show process.

2007-09-21 10:09:44 · 4 answers · asked by Anonymous