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Alan3354 answered: 30973 problems
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Exponents/429584: Rewrite the expression using positive exponents 2x/y^-2
1 solutions

Answer 298363 by Alan3354(30993) About Me  on 2011-03-31 13:02:29 (Show Source):
You can put this solution on YOUR website!
Rewrite the expression using positive exponents 2x/y^-2
-----------------
2x%2Fy%5E-2
Multiply NUM and DEN by y^2
= 2xy%5E2%2F%28y%5E%28-2%2B2%29%29
= 2xy%5E2%2Fy%5E0+=+2xy%5E2%2F1+=+2xy%5E2
--------------
As a shortcut, moving a factor or term from the NUM to the DEN or vice versa changes its sign.


Square-cubic-other-roots/429560: I have to explain in one paragraph how to simplify,
1.) 16 1/2
2.) square root of 100
1 solutions

Answer 298357 by Alan3354(30993) About Me  on 2011-03-31 12:54:48 (Show Source):
You can put this solution on YOUR website!
I have to explain in one paragraph how to simplify,
1.) 16 1/2
= 16.5 or 33/2 ??
------------
2.) square root of 100
= ± 10
10*10 = 100
(-10)*(-10) = 100
-----------
Short paragraphs.


Trigonometry-basics/429492: cosx*tgx+sin2x=2
1 solutions

Answer 298356 by Alan3354(30993) About Me  on 2011-03-31 12:52:32 (Show Source):
You can put this solution on YOUR website!
Is sin2x sin(2x), or sin^2(x) ??
I assume tgx means tan(x)


Age_Word_Problems/429575: find two consecutive even numbers whose sum is 66











1 solutions

Answer 298353 by Alan3354(30993) About Me  on 2011-03-31 12:39:54 (Show Source):
You can put this solution on YOUR website!
66/2 = 33, the center
--> 32 & 34


Problems-with-consecutive-odd-even-integers/429489: i am the largest of three consecutive numbers whose product is 366

1 solutions

Answer 298333 by Alan3354(30993) About Me  on 2011-03-31 10:41:18 (Show Source):
You can put this solution on YOUR website!
i am the largest of three consecutive numbers whose product is 366
------------
root%283%2C366%29 =~ 7 the middle
6*7*8 = 336
7*8*9 = 504
-------------
I think you meant 336


Numeric_Fractions/429538: 1/7 + 12/x
1 solutions

Answer 298325 by Alan3354(30993) About Me  on 2011-03-31 10:12:44 (Show Source):
You can put this solution on YOUR website!
Do you have a question?


Radicals/428450: Hello. I am having serious difficulties with the following problem; I must have tried solving it a few times, but my answer is still very different from the book. Please help me solve it. Thank you.
[(x-y)/({(x)^(3)*y}-{2(x)^(2)*(y)^(2)}+{x*(y)^(3)})]^(1/2)
1 solutions

Answer 297807 by Alan3354(30993) About Me  on 2011-03-28 22:04:10 (Show Source):
You can put this solution on YOUR website!
There's nothing to solve, it's not an equation.
Maybe you want to simplify it ?
----------------
%28%28x-y%29%2F%28x%5E3y-2x%5E2y%5E2%2Bx%2Ay%5E3%29%29%5E%281%2F2%29
= %28%28x-y%29%2F%28xy%2A%28x%5E2-2xy%2By%5E2%29%29%29%5E%281%2F2%29
= %28%28x-y%29%2F%28xy%2A%28x+-+y%29%5E2%29%29%5E%281%2F2%29
= %281%2F%28xy%2A%28x+-+y%29%29%29%5E%281%2F2%29
= sqrt%28xy%2A%28x-y%29%29%2F%28xy%2A%28x-y%29%29


Exponential-and-logarithmic-functions/428452: ln2.5x=10
1 solutions

Answer 297806 by Alan3354(30993) About Me  on 2011-03-28 21:49:48 (Show Source):
You can put this solution on YOUR website!
ln(2.5x)=10 Is that what you mean?
----------
2.5x+=+e%5E10
x+=+e%5E10%2F2.5
x =~ 8810.586


Square-cubic-other-roots/428433: how do u get 289 times 48?

1 solutions

Answer 297805 by Alan3354(30993) About Me  on 2011-03-28 21:46:02 (Show Source):
You can put this solution on YOUR website!
I use a calculator


Surface-area/428438: what is the length and width of a rectangle whose area is 648

1 solutions

Answer 297803 by Alan3354(30993) About Me  on 2011-03-28 21:45:22 (Show Source):
You can put this solution on YOUR website!
Not enough info
There are an infinite number of solutions
L*W = 648
1*648
2*324
3*216
4*162
etc


Linear-systems/428377: 2x+y=41

1 solutions

Answer 297776 by Alan3354(30993) About Me  on 2011-03-28 20:26:01 (Show Source):
You can put this solution on YOUR website!
Do you have a question?


Polynomials-and-rational-expressions/428393: Factor each polynomial twice
12x^ - 28x - 24
1 solutions

Answer 297775 by Alan3354(30993) About Me  on 2011-03-28 20:25:24 (Show Source):
You can put this solution on YOUR website!
what is 12x^ ??
What's the exponent?


Polynomials-and-rational-expressions/428354: how do you factor a^2-5a+6
please explain how or show how, thankyou
1 solutions

Answer 297763 by Alan3354(30993) About Me  on 2011-03-28 19:45:00 (Show Source):
You can put this solution on YOUR website!
The form will be (a - f)*(a - g)
--------------------
Look at the factors of 6
It's either 1 & 6 or 2 & 3
The signs will be the same, since it's a +6
Both will be negative, since it's -5a


Probability-and-statistics/428232: a couple plans to have 5 children. what is the probability of having exactly two boys?
1 solutions

Answer 297760 by Alan3354(30993) About Me  on 2011-03-28 19:42:27 (Show Source):
You can put this solution on YOUR website!
There are 32 possible combinations of 5 children,
----------
GGGGG
GGGGB
GGGBG
GGGBB
GGBGG
GGBGB
GGBBG
GGBBB
GBGGG etc
---------
8 of the combinations have exactly 2 boys
8/32 = 1/4


Expressions-with-variables/428361: Give an equation of a line perpendicular to the line y = 4x
having the same y-intercept

1 solutions

Answer 297759 by Alan3354(30993) About Me  on 2011-03-28 19:38:42 (Show Source):
You can put this solution on YOUR website!
The y-int is zero.
The slope is the negative inverse of 4, = -1/4
--> y = -x/4


Polynomials-and-rational-expressions/428306: how do you fiend factorization

1 solutions

Answer 297736 by Alan3354(30993) About Me  on 2011-03-28 18:22:34 (Show Source):
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In most cases, the instructor finds it and asks you to do the work.


Volume/428305: a car traveled 23 miles east and then 18 miles north. how far is the car from the starting point?
1 solutions

Answer 297735 by Alan3354(30993) About Me  on 2011-03-28 18:21:36 (Show Source):
You can put this solution on YOUR website!
It's Pythagoras again.
d%5E2+=+23%5E2+%2B+18%5E2
You take it from there.


Radicals/428230: how do you simplify a raadical expression like the square root of 200, mandi.williford@yahoo.com thank you
1 solutions

Answer 297703 by Alan3354(30993) About Me  on 2011-03-28 16:34:47 (Show Source):


Triangles/428179: If 3/8 of the perimeter of an equilateral triangle is 6ft, what is the length of one side? and how did you get the answer?
1 solutions

Answer 297688 by Alan3354(30993) About Me  on 2011-03-28 15:26:09 (Show Source):
You can put this solution on YOUR website!
(3/8)*p = 6
(1/8)*p = 2
p = 16
------------
One side = p/3 = 16/3 ft


Parallelograms/428192: What is the distance between points A(-2,2) and B(1,6)
please and thank you
1 solutions

Answer 297686 by Alan3354(30993) About Me  on 2011-03-28 15:11:36 (Show Source):
You can put this solution on YOUR website!
It's Pythagoras again.
d%5E2+=+diffy%5E2+%2B+diffx%5E2
Can you finish it?


Expressions-with-variables/428159: Solve using the elimination method. Show all work.
4x + 8y = 16
-2x + 5y = 55
1 solutions

Answer 297675 by Alan3354(30993) About Me  on 2011-03-28 14:31:49 (Show Source):
You can put this solution on YOUR website!
4x + 8y = 16
-2x + 5y = 55
----------
2x + 4y = 8 eqn 1 x 1/2
-2x + 5y = 55
--------------- Add
9y = 63
y = 7
------
x = -10


logarithm/428156: solve for T using the rules of logarithms, round answer to three decimal places:
6^T=5^T+1
1 solutions

Answer 297670 by Alan3354(30993) About Me  on 2011-03-28 14:23:03 (Show Source):
You can put this solution on YOUR website!
If the exponent of 5 is t+1,
t*log(6) = (t+1)*log(5) = tlog(5) + log(5)
tlog(6) - t*log(5) = log(5)
t = log(5)/(log(6) - log(5)) = log(5)/log(1.2)
t =~ 8.827


Polynomials-and-rational-expressions/428154: Divide.

%2815x%5E2y%5E2%2B20xy%5E2-10y%5E2%29%2F%285x%5E2y%29

Can you help with this.
1 solutions

Answer 297666 by Alan3354(30993) About Me  on 2011-03-28 14:11:43 (Show Source):
You can put this solution on YOUR website!
Divide all terms by 5
Then by x
Then by y


Polynomials-and-rational-expressions/428150: I have worked this problem at least six times on paper. This particular area is giving me a headache. Please help.
Find the polynomial with the lowest degree having the following zeros -2, 2-i
A)x^3+6x^2+10
B)6x^2+13x+10
C)x^3+6x^2+13x+10
D)x^3+2x+3x-10
E)None of the above
1 solutions

Answer 297661 by Alan3354(30993) About Me  on 2011-03-28 14:01:37 (Show Source):
You can put this solution on YOUR website!
Find the polynomial with the lowest degree having the following zeros -2, 2-i
--------
Complex roots always occur in pairs, so add 2+i as a zero
--> (x+2)*(x-2-i)*(x-2+i)
= %28x%2B2%29%2A%28x%5E2+-+4x+%2B+5%29
= x%5E3+-+2x%5E2+-+3x+%2B+10 --> E
---------------
A)x^3+6x^2+10
B)6x^2+13x+10
C)x^3+6x^2+13x+10
D)x^3+2x+3x-10
E)None of the above


Volume/428145: how much water a pan hold in the metric unit
1 solutions

Answer 297658 by Alan3354(30993) About Me  on 2011-03-28 13:42:22 (Show Source):
You can put this solution on YOUR website!
Small ones hold less than big ones.
To be more specific, you'll have to give more info.


logarithm/428146: I am trying to rewrite 1/(e^x + e^-x) in the form e^x/(e^2x + 1) Its for an improper integral problem. This form is in the solution manual so that it will fit easily into an arctan format. I'm not sure how to rewrite it from form 1 to form 2.
1 solutions

Answer 297657 by Alan3354(30993) About Me  on 2011-03-28 13:40:31 (Show Source):
You can put this solution on YOUR website!
It's as you show.
The NUM and DEN are multiplied by e^x


Geometry_Word_Problems/428075: Here are the dimensions of three rectangles. Which one of them is most square?
114’ × 99’ 455’ × 494’ 284’ × 265’
1 solutions

Answer 297632 by Alan3354(30993) About Me  on 2011-03-28 11:40:32 (Show Source):
You can put this solution on YOUR website!
Rectangles are either squares or not squares.
There is no "most square."
The other tutor showed which one is most nearly square.


Percentage-and-ratio-word-problems/428113: Please help me solve this proportion. 9%3A5=3%3Ax
1 solutions

Answer 297631 by Alan3354(30993) About Me  on 2011-03-28 11:35:14 (Show Source):
You can put this solution on YOUR website!
9/5 = 3/x
Cross multiply
9x = 15
x = 5/3


Expressions-with-variables/428063: I am supposed to solve using the substitution method.
5x-6y=-20
5x+45=y
Here is what I have tried and I think it is wrong.
I switched the 2nd equation so that it read y=5x+45.
It was then,
5x-6y=-20
y=5x+45
Here is how I worked it out
5x-6(5x+45)=-20
5x-30x-270=-20
-35x-270+270=-20+270
-35x=250 and I divided both sides by -35 and got 7.14 but I know this is wrong and I do not know where or what I did wrong.
1 solutions

Answer 297600 by Alan3354(30993) About Me  on 2011-03-28 09:01:33 (Show Source):
You can put this solution on YOUR website!
I am supposed to solve using the substitution method.
5x-6y=-20
5x+45=y
Here is what I have tried and I think it is wrong.
I switched the 2nd equation so that it read y=5x+45.
It was then,
5x-6y=-20
y=5x+45
Here is how I worked it out
5x-6(5x+45)=-20
5x-30x-270=-20
-35x-270+270=-20+270 ************** Should be -25x
then x = -10
y = -5


Triangles/427902: If the area of a right triangle is 15, what is its perimeter?
1 solutions

Answer 297508 by Alan3354(30993) About Me  on 2011-03-27 20:07:32 (Show Source):
You can put this solution on YOUR website!
Not enough info.


logarithm/427906: express 3logx-2logy as a single logarithm
1 solutions

Answer 297506 by Alan3354(30993) About Me  on 2011-03-27 20:05:09 (Show Source):
You can put this solution on YOUR website!
3log(x)-2log(y)
= log%28x%5E3%29+-+log%28y%5E2%29
= log%28x%5E3%2Fy%5E2%29