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+118727

0

what is a geometric series?

http://en.wikipedia.org/wiki/Geometric_progression (this is a web site if you want to take a look)
Now,

3,6,12,24,48

43046721, 14348907, 4782969, 1594323,

27, 3, 1, 1/3, 1/9, 1/27

2,-6,18,-54

are all examples of GPs (geometric progressions)
Geometric Series are geometric progressions with + signs inbetween each term.

GPs have a first term referred to as 'a' or 'a ₁' and a common ratio referred to as r

so the first term is 'a' (same as T ₁)
the second term T ₂ is a*r = ar
the third term T ₃ is the second *r = ar*r = ar ²
the forth term T ₄ is the third *r = ar ²*r = ar ³

the nth term called T _n or (sometimes a _n depending on what country you are studyinging in) and you can substitute in any value for n is
T _n= ar ^(n-1)

I don't know how good your algebra is but in the examples above can you find 'a' and 'r' of each one? There is a formula to do this but if you think hard you might not need the formula.

I hope you find this interesting.

MelodyOct 30, 2013

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I have the feeling you don't really need help with your homework because your typing is somewhat proficient, which shows you are (probably) not some random kindergartner.

You also appear to know how to surf the web, which proves my earlier point that you are (probably) not some random kindergartner.

By the way, have you heard of a calculator before?

GuestOct 30, 2013

0

If the jacket was 15% off, then its at 85% of its worth right now.

$75=85%

By dividing both sides by 85, we find that 1%=$0.8823529411764706

Then multiply both sides by 100. Therefore, 100%=$88.23529411764706. Round off as required.

GuestOct 30, 2013

0

4(10-x)=-7(x+1)

Multiply it out.

40-4x=-7x-7

Add 7 to both sides.

47-4x=-7x

Add 4x to both sides.

47=-3x

Multiply both sides by -1.

-47=3x

Divide both sides by 3.

-47/3=x

That is your answer.

(If what you want is x.)

GuestOct 30, 2013

+118727

0

MelodyOct 30, 2013

+118727

0

2=1.06^n

log2 = log1.6^n

log2 = n*log1.6

log2/log1.6 = n

then you do it on your calculator and get n is approx = 1.474769847

If you have not studied logs yet this will not make any sense.
I had a quick look on the internet to see if I could find a site that will help.
There a lots of sites for people with a basic understanding but I didn't find an intro site.
Basically though, a log is an exponent (I'd call it a power but exponent seems to be the more international name.)
anyway, I hope this was of some interest to you.

MelodyOct 30, 2013

+118727

0

The volume of a sphere of radius "r" is V=4/3pi r cubed. How do i find r and rationalize the denominator?

V=4/3pi r cubed
V=4pi/3 *r cubed

multiply BOTH sides by 3/(4pi) and you get

3V/(4pi) = r cubed

r = [ 3V/(4pi) ] ^(1/3)

I don't believe that you can rationalize the denominor, pi to the power of something will always be on the bottom and pi is an irrational number.

MelodyOct 30, 2013

+118727

0

a wave has a frequency of 22hz and a wavelength of 4.0m. what is its velocity

Hertz measures cycles per second
A cycle is a wavelength (in length)
so
22 hertz = 22*4 m/s

MelodyOct 30, 2013

0

First,you begin by distributing the x throughout the first set of parenthesis like so:

x(2x+1) becomes (2x ²+1x)

You then use the F.O.I.L method, multiplying the first, outside, inside, and last terms in the two sets of parenthesis like so:

2x ²*x
2x ²*-3 (don't forget the - here)
1*x
1*-3 (don't forget the - here either)

You then add all of these terms together resulting in 2x ³-6x ²+x-3.

Hope this helps!

GuestOct 30, 2013

+118727

0

How do you multiply and simplify?
x(2x+1)(x-3)

x(2x+1) = x*2x + x*1 = 2x ²+ x

Now
( 2x ² + x ) ( x-3) = 2x ² * (x-3) + x * (x-3)

then you expand those brackets and collect the like terms.
Can you finish it?

If you had of wanted to you could have worked out what (2x+1)(x-3) was first and then multiplied by x afterwards.
You can multiply in any order
eg 3*2*6 = 2*6*3 = 3*6*2

MelodyOct 30, 2013

+118727

0

I was called away in the middle of writing this and there were some mistakes which I think i have now fixed.

I put a lot of effort into explaining this so I hope you try hard to understand it.

best of luck.

MelodyOct 30, 2013

+5478

+11

The scale is 1:12, and the actual car has 16-in wheels.

So the setup would be a proportion:
1 over 12=x over 16
Then cross-multiply
12x=16
Divide by 12
X=16/12
=4/3 or 1 and 1/3 in. wheels on the model car.

kitty<3Oct 30, 2013

0

Guest:
:? What is intercept?

Y-intercept is the y-coordinate of the point where the graph of a line intersects the y-axis in the coordinate plane. The x-intercept is the x-coordinate of the point where the graph of a line intersects
the x-axis in the coordinate plane.

GuestOct 30, 2013

0

Subtract 48 from 75, then find the distance it is from 0.

If a number is negative, such as -5, it is 5 away from 0. Positive 5 is also five away from 0.

GuestOct 30, 2013

0

The volume of a sphere is 4pi(r)/3, so the denominator is already rational.

To find r, just use the normal algebraic properties (Addition POE, Subtraction, etc.)

GuestOct 30, 2013

0

The sine of 42 is always the same, regardless of the sides. Use a calculator unless you're really dedicated and want to actually learn how it's done, but you probably don't, judging from your question.

GuestOct 30, 2013

0

It is the point at which a line intersects one of axes.

GuestOct 30, 2013

Oct 29, 2013

0

GuestOct 29, 2013

+118727

0

round to the nearest 10th 3.899

The 8 is in the tenths place
You will use the next 9 for rounding
After that the digits have no relevance - I suggest you cross out the irrelevant digits so that you will get less confused.
so the question is the same as

round to the nearest 10th 3.89 (which is the same as round to 1 decimal place)
Now if the number in the next place (9 in this case) is smaller than five then you truncate

eg round to the nearest 10th 3.8 2 = 3.8
eg round to the nearest 10th 3.8 4 = 3.8

If the next number is 5 or bigger than 5 then the value goes up by 1
eg round to the nearest 100th 3.8 9 = 3.9
eg round to the nearest 100th 3.7 5= 3.8

If the last digit that you need to put up by 1 is 9 then you have to put the 2 last digits up, (with these ones you have to keep the zero after the point to show that you have rounded to 1 dec place)
round to the nearest 10th 5 3.96 = 54.0 (i think of it as 39 goes up to 40 BUT keep the decimal point in the same place)
round to the nearest 10th 5 3.99 = 54.0

If the last 2 digits that you need to put up are both 9 then you have to put the 2 last digits up,
round to the nearest 10th 8 59.95 = 860.0 ( i think of it as 599 goes up to 600)
round to the nearest 10th 79.95 = 80.0 ( i think of it as 799 goes up to 800)

and so on.

MelodyOct 29, 2013

+118727

0

You are very welcome.

MelodyOct 29, 2013

+118727

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none - you weren't one of the original 60 people

MelodyOct 29, 2013

+118727

+5

Multiply or divide as indicated. Simplify your answer, if possible. (Do not express answer in exponential form.) 10/10^-2

10 ^-2 = 1/ 10 ⁺² = 1/100

10 divided by 1/100 = 10 * 100/1 = 1000

MelodyOct 29, 2013

+118727

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http://www.asknumbers.com/kilopascal-to-megapascal.aspx

MelodyOct 29, 2013

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Thanks!!!!!!!!!!:)

GuestOct 29, 2013

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thanks a lot Sidney I found a little thing called Matrix and learned a little bit more about elimination but thanks for the help.

GuestOct 29, 2013

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