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Alan3354 answered: 30973 problems
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Complex_Numbers/618690: The question asks to write the following term into a + ib form, where “i” is a
complex number +%28sqrt%28+-1++%29%29+:
%281-i%29%281%2Bi%29
I need to show steps but having trouble getting started. Can anyone help?
Thanks.
1 solutions

Answer 389032 by Alan3354(30993) About Me  on 2012-06-07 08:58:11 (Show Source):
You can put this solution on YOUR website!
%281-i%29%281%2Bi%29
-----------
Multiply like any sum and difference.
%28a+-+b%29%28a+%2B+b%29+=+a%5E2+-+b%5E2
%281-i%29%281%2Bi%29+=+1%5E2+-+i%5E2+=+1+-%28-1%29+=+2
or 2 + 0i


test/618579: If sin theta = (1/2), find csc theta
1 solutions

Answer 388992 by Alan3354(30993) About Me  on 2012-06-06 20:53:07 (Show Source):
You can put this solution on YOUR website!
If sin theta = (1/2), find csc theta
-------------
csc = 1/sin


Linear-equations/618592: Determine whether the given coordinate is a solution to the given equation.
y=-6x +2; (2,10)
1 solutions

Answer 388991 by Alan3354(30993) About Me  on 2012-06-06 20:52:07 (Show Source):
You can put this solution on YOUR website!
Determine whether the given coordinate is a solution to the given equation.
y=-6x +2; (2,10)
--------------
Sub 2 for x & 10 for y.
See if the 2 sides are equal.


real-numbers/618554: Trying to find the slope +y-22%2C000-185x+
1 solutions

Answer 388987 by Alan3354(30993) About Me  on 2012-06-06 20:10:35 (Show Source):
You can put this solution on YOUR website!
Trying to find the slope +y-22000-185x+
------------
That's not an equation, no equal sign.
--> no slope


Geometry_Word_Problems/618567: Using 3.14 (Pi) and rounding the answer to the nearest cubic inch. How many cubic inches of sand will be needed to fill a barrel 3 feet tall with a diameter of 18 inches?
1 solutions

Answer 388986 by Alan3354(30993) About Me  on 2012-06-06 20:09:19 (Show Source):
You can put this solution on YOUR website!
Using 3.14 (Pi) and rounding the answer to the nearest cubic inch. How many cubic inches of sand will be needed to fill a barrel 3 feet tall with a diameter of 18 inches?
-----------
Vol+=+pi%2Ar%5E2%2Ah
r = 9, h = 36 inches


Graphs/618529: Solve the system of equations by graphing.
x-2y=-4
x+2y=8
Please show points, how to graph the points and the point at where they meet or intersect (if they do).
1 solutions

Answer 388980 by Alan3354(30993) About Me  on 2012-06-06 19:07:30 (Show Source):
You can put this solution on YOUR website!
It's 2 straight lines.
x+y=4
Find 2 points. Pick values for x or y and find the other variable. Zero usually works well.
Plot the 2 points.
Draw a line thru them.
-------------
Do the same for the other equation.
Where they intersect is at the values of x & y that fit both equations.
-------------
dl the FREE graph software at
http://www.padowan.dk
Use F6 to enter them as they are.


Graphs/618528: Solve the system of equations by graphing.
x+y=4
y-x=4
Please show points, how to graph the points and the point at where they meet or intersect (if they do).
1 solutions

Answer 388979 by Alan3354(30993) About Me  on 2012-06-06 19:05:08 (Show Source):
You can put this solution on YOUR website!
Solve the system of equations by graphing.
x+y=4
y-x=4
----------
It's 2 straight lines.
x+y=4
Find 2 points. Pick values for x or y and find the other variable. Zero usually works well.
Plot the 2 points.
Draw a line thru them.
-------------
Do the same for the other equation.
Where they intersect is at the values of x & y that fit both equations.


Polynomials-and-rational-expressions/618538: how do i get the GCF of 10x^2y^3z^4+5xyz^3
1 solutions

Answer 388978 by Alan3354(30993) About Me  on 2012-06-06 19:01:03 (Show Source):
You can put this solution on YOUR website!
how do i get the GCF of 10x^2y^3z^4+5xyz^3
----------
The C in GCF is Common, meaning it's common to more than 1 expression.
You have only 1 expression, so the GCF is 10x^2y^3z^4+5xyz^3, the expression itself.


Trigonometry-basics/618490: Which of the following. Is equivalent to 1-cos^2/cos^2? the answer is tan^2 but I don't know how that answer is reached. thanks
1 solutions

Answer 388938 by Alan3354(30993) About Me  on 2012-06-06 16:14:51 (Show Source):
You can put this solution on YOUR website!
( 1-cos^2)/cos^2
= sin^2/cos^2
= tan^2


Trigonometry-basics/618479: sqrt(5+sqrt(24))
1 solutions

Answer 388937 by Alan3354(30993) About Me  on 2012-06-06 16:13:47 (Show Source):
You can put this solution on YOUR website!
sqrt%285%2Bsqrt%2824%29%29
= sqrt%285+%2B+2sqrt%286%29%29
=~ 3.14626


Linear-equations/618481: Help me solve this equation. The equation has to be solved (a)symbolically (b)graphically, and (c) numerically
4x+y=6
x-4=14
Please help, this has 23 diffrent steps and I am at a loss!
1 solutions

Answer 388934 by Alan3354(30993) About Me  on 2012-06-06 16:11:13 (Show Source):
You can put this solution on YOUR website!
4x+y=6
x-4=14 --> x = 18
----------
4*18 + y = 6
y = -66
Not so many.


test/618458: 30% of air ia lost with each stroke of the piston, their are 32 liters of air how many liters of air will there be after 6 strokes
1 solutions

Answer 388928 by Alan3354(30993) About Me  on 2012-06-06 15:40:02 (Show Source):
You can put this solution on YOUR website!
30% of air ia lost with each stroke of the piston, their are 32 liters of air how many liters of air will there be after 6 strokes
-------------------
70% remains after each stroke = 0.7
--> 32*0.7^6
= 3.764768 liters


logarithm/618452: Solve the equation for x
ln(3x+1)=ln(2x-8)
1 solutions

Answer 388927 by Alan3354(30993) About Me  on 2012-06-06 15:34:16 (Show Source):
You can put this solution on YOUR website!
Solve the equation for x
ln(3x+1)=ln(2x-8)
------------
It the logs are equal, then
3x+1 = 2x-8
x = -9
----------
But, this give the log(-26) which does not exist.
--> no solution


Linear-equations/618467: A point is located somewhere on the x-axis. What is the ordinate of the point -4... But the part I don't understand is this, "Can you determine the abscissa of the point from above! Why or why not?
Plaese help!
1 solutions

Answer 388926 by Alan3354(30993) About Me  on 2012-06-06 15:28:13 (Show Source):
You can put this solution on YOUR website!
A point is located somewhere on the x-axis. What is the ordinate of the point -4... But the part I don't understand is this, "Can you determine the abscissa of the point from above! Why or why not?
----------------
-4 is not a point.
--------------------------
The ordinate is the distance from the x-axis
If a point is on the x-axis, its distance from it = 0.
-------------
The abscissa is the distance from the y-axis. If the point is "somewhere on the x-axis" then the abscissa is not known.


Permutations/618468: what if i had a choice between 5 flavors of ice cream 3 toppings and with or without nuts i dont know how to solve that excatly
1 solutions

Answer 388925 by Alan3354(30993) About Me  on 2012-06-06 15:23:22 (Show Source):
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what if i had a choice between 5 flavors of ice cream 3 toppings and with or without nuts i dont know how to solve that excatly
-----------
Solve what?
What's the question?


Equations/618466: Solve by Elimination method
5a+3b=5
-5a+b=15
Please help me solve these equations with the elimination method.
1 solutions

Answer 388924 by Alan3354(30993) About Me  on 2012-06-06 15:19:23 (Show Source):
You can put this solution on YOUR website!
Solve by Elimination method
+5a+3b=5
-5a+b=15
---------- Add


Linear-equations/618456: Find the slope of the line passing through the given pair of points.(6, 17) and (-17, 11)
1 solutions

Answer 388923 by Alan3354(30993) About Me  on 2012-06-06 15:15:03 (Show Source):
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Find the slope of the line passing through the given pair of points.(6,17) and (-17,11)
------------
Slope m = diffy/diffx


testmodule/618393: Give polar coordinates for (-3,3), (-2,0), (-1,3^1/2)
1 solutions

Answer 388849 by Alan3354(30993) About Me  on 2012-06-06 10:45:27 (Show Source):
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Give polar coordinates for (-3,3), (-2,0), (-1,3^1/2)
--------------
r+=+sqrt%28x%5E2+%2B+y%5E2%29
Angle = arctan(y/x) in the appropriate quadrant
---------
(-3,3) --> Q2
r+=+3sqrt%282%29
Angle = arctan(-1) in Q2
Angle = 135 degs or 3pi/4 radians
----------
Do the others the same way


Graphs/618374: Slope = 1/3
y-intercept = -3

1 solutions

Answer 388838 by Alan3354(30993) About Me  on 2012-06-06 09:59:08 (Show Source):
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Slope = 1/3
y-intercept = -3
-----------------
Hint: y = mx + b


Inequalities/618377: Please solve & show work for:
y>-3
x<2 line under < sign
Name a point for y>-3
Name a point for x< 2 with line under <
Name a point for both.
Please help. I paid $5.00 thru the math tutor website & never receive an answer. this is my last problem to do.
Thank you
Lynnette Custer
lynnbuz@yahoo.com
1 solutions

Answer 388837 by Alan3354(30993) About Me  on 2012-06-06 09:58:14 (Show Source):
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y>-3
x<2 line under < sign that's x <= 2, less than or equal
--------------
Name a point for y>-3
y = -2, y = -1, y = 6, etc.
Any number greater than -3
----------------
Name a point for x<= 2
x = 2, x = 1, x = -7 etc 2 is allowed, since it's less than or equal.
-----------------
Name a point for both.
If you mean an (x,y) point on the plane,
(-2,1) or (0,0), etc


Numeric_Fractions/618339: I'm sorry. I did not find, that I have raised this issue.
Kharazmi said that Arabs in algebra history, but is not. He was a Parsi. But since that time, Iran was occupied by Arabs, Iranians need to save and expand knowledge of Arabic to expand their knowledge, because the Arabs of every book published in Persian, which was burned.
Khwarizmi and Abu Ali Sina made ​​it so. But they were not Arabs, please do a little research to find out Khwarizmi was Persian, not Arab. Algebra History also change the text.
Thanks
1 solutions

Answer 388832 by Alan3354(30993) About Me  on 2012-06-06 09:00:28 (Show Source):
You can put this solution on YOUR website!
You're welcome.


test/618343: Algebra
1 solutions

Answer 388826 by Alan3354(30993) About Me  on 2012-06-06 08:37:57 (Show Source):
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Algebra
-------
Yes


real-numbers/618322: what are the problems involving real numbers?

1 solutions

Answer 388825 by Alan3354(30993) About Me  on 2012-06-06 08:37:17 (Show Source):
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what are the problems involving real numbers?
--------------
There are too many of them.


�t�e�s�t/618217: A car takes 10s to go from v=0 m/s to v= 25 m/s at constant acceleration. If you wish to find the distance traveled using the equation d=1/2atsquared what value should you use for a?
1 solutions

Answer 388768 by Alan3354(30993) About Me  on 2012-06-05 20:38:51 (Show Source):
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A car takes 10s to go from v=0 m/s to v= 25 m/s at constant acceleration. If you wish to find the distance traveled using the equation d=1/2atsquared what value should you use for a?
--------
a = v/t = 25/10
a = 2.5 m/sec/sec
----
s = at^2/2 = 2.5*10^2/2
s = 125 meters


Radicals/618228: Please check my work

Solve:
√(n + 6)-√n=√6
√(n+6)= √6+√n
N+6=6+n
so is this a NO SOLUTION question as 0 = 0?
Thank you in advance for your help
1 solutions

Answer 388767 by Alan3354(30993) About Me  on 2012-06-05 20:36:49 (Show Source):
You can put this solution on YOUR website!
Solve:
√(n + 6)-√n=√6
√(n+6)= √6+√n
N+6=6+n************
It's n%2B6+=+n+%2B+6+%2B+12sqrt%28n%29
12sqrt%28n%29+=+0
n = 0


Percentage-and-ratio-word-problems/618232: the quotient of a number divided by the next consecutive integer
1 solutions

Answer 388766 by Alan3354(30993) About Me  on 2012-06-05 20:33:52 (Show Source):
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the quotient of a number divided by the next consecutive integer
---------
= n/(n+1)


Geometry_Word_Problems/618196: The total length of fencing needed to enclose a rectangular area 46ft by 34 is
1 solutions

Answer 388756 by Alan3354(30993) About Me  on 2012-06-05 19:11:22 (Show Source):
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The total length of fencing needed to enclose a rectangular area 46ft by 34 is
-----------
Perimeter = 2W + 2L


percentage/618133: solve by the elimination method.
3x+4y=4
6x+8y=8
what is the solution of the system?
1 solutions

Answer 388754 by Alan3354(30993) About Me  on 2012-06-05 19:00:57 (Show Source):
You can put this solution on YOUR website!
solve by the elimination method.
3x+4y=4
6x+8y=8
what is the solution of the system?
------------
The 2nd eqn is 2x the 1st.


Miscellaneous_Word_Problems/618168: Jane is filling her gas tank. After 10 seconds her gas tank 5 gallons in it. After 25 seconds her gas tank has 9.5 gallons in it. Suppose the amount of gas in the tank depends lineraly on time.
Write the equation describing the gallons of gas in the tank g after s seconds
How much gas will be in the tank after 50 seconds?
What is the y-intercept of the equation you found? What does the number mean in this problem?
1 solutions

Answer 388752 by Alan3354(30993) About Me  on 2012-06-05 18:59:29 (Show Source):


percentage/618134: solve the following systems of equations.
x+4y=8(1)
x=3-4y(2)
What is the solution of the method?
1 solutions

Answer 388732 by Alan3354(30993) About Me  on 2012-06-05 16:57:47 (Show Source):
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solve the following systems of equations.
x+4y=8(1)
x=3-4y(2) --> x+4y=3
----------
x+4y=8
x+4y=3
-------- Subtract
0 = 5
--> inconsistent, no solution


test/618152: Use log4^3=0.7925 and log4^4=1 to approximate the value of the expression log4^384
Show all work please and explain if you could
1 solutions

Answer 388730 by Alan3354(30993) About Me  on 2012-06-05 16:54:06 (Show Source):
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Use log4^3=0.7925 and log4^4=1 to approximate the value of the expression log4^384
--------------
You mean log base 4, not exponents.
^ is exponentiation.
----
384 = 3*128 = 3*4^3*4^(1/2)
log(384) = log(3) + 3*log(4) + (1/2)*log(4) with any consistent base
= 0.7925 + 3 + 0.5
= 4.2925