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Polynomials-and-rational-expressions/711913: How do you factor X^3-4x^2

1 solutions

Answer 437678 by Alan3354(31528) About Me  on 2013-02-07 19:42:38 (Show Source):
You can put this solution on YOUR website!
How do you factor X^3-4x^2
-----------
Hint: both terms have a factor of x


test/711924: Height : 15ft
Area: 285 ft2
1 solutions

Answer 437677 by Alan3354(31528) About Me  on 2013-02-07 19:41:15 (Show Source):
You can put this solution on YOUR website!
Height : 15ft
Area: 285 ft2
=================
Thx for letting us know.


Travel_Word_Problems/711847: it took john 5 hours to drivw from fort worth to midland which is a dstance of 300 miles. what was his average speed for the trip?

1 solutions

Answer 437670 by Alan3354(31528) About Me  on 2013-02-07 18:20:56 (Show Source):
You can put this solution on YOUR website!
it took john 5 hours to drivw from fort worth to midland which is a dstance of 300 miles. what was his average speed for the trip?
----------------
d = r*t
r = d/t


Surface-area/711881: If two pieces of ice have the same volume, the one with the greater surface area will melt faster because more of its surface area is exposed to the air, which is warmer than the ice. Four pieces of ice have the same volume. Each piece of ice is shaped like a rectangular prism. Which piece of ice melts the fastest?
Piece Length Width Height
p1 32 ft 3 ft 3 ft
p2 18 ft 4 ft 4 ft

1 solutions

Answer 437669 by Alan3354(31528) About Me  on 2013-02-07 18:19:11 (Show Source):
You can put this solution on YOUR website!
If two pieces of ice have the same volume, the one with the greater surface area will melt faster because more of its surface area is exposed to the air, which is warmer than the ice. Four pieces of ice have the same volume. Each piece of ice is shaped like a rectangular prism. Which piece of ice melts the fastest?
-----------
The one with the greatest surface area.
Calculate the SA's and see which one it is.


Numbers_Word_Problems/711885: Our product is 132. The difference between is is 1. What numbers are we?
1 solutions

Answer 437668 by Alan3354(31528) About Me  on 2013-02-07 18:16:18 (Show Source):
You can put this solution on YOUR website!
Our product is 132. The difference between is is 1. What numbers are we?
-------------
Try pairs of factors of 132.
---------
1*132
2*66
etc. until you find a pair with a difference of 1.


Volume/711769: A cylindrical standpipe is to contain 343,000 gal. of water. If its height is to be twice its diameter, what must be its dimensions?

1 solutions

Answer 437642 by Alan3354(31528) About Me  on 2013-02-07 16:34:08 (Show Source):


Volume/711770: A cylindrical standpipe is to contain 343,000 gal. of water. If its height is to be twice its diameter, what must be its dimensions?

1 solutions

Answer 437594 by Alan3354(31528) About Me  on 2013-02-07 15:08:19 (Show Source):
You can put this solution on YOUR website!
A cylindrical standpipe is to contain 343,000 gal. of water. If its height is to be twice its diameter, what must be its dimensions?
----------------
343000 gallons =~ 45852.43 cubic ft
-----
Vol+=+pi%2Ar%5E2%2Ah
h = 2d = 4r
Vol+=+4pi%2Ar%5E3+=+45852.43
r%5E3+=+11463.1%2Fpi ft
r =~ 15.395 feet
d = 30.79 ft (inside diameter)
h = 61.58 ft


Rectangles/711781: Can you provide me with a rectangle with a 24 unit perimeter and 32 unit area?
1 solutions

Answer 437586 by Alan3354(31528) About Me  on 2013-02-07 14:54:56 (Show Source):
You can put this solution on YOUR website!
Can you provide me with a rectangle with a 24 unit perimeter and 32 unit area?
-------------------
Find a pair of factors of 32 with a sum of 12.


Graphs/711758: show me a linear function that passes through the point (0,3)
1 solutions

Answer 437576 by Alan3354(31528) About Me  on 2013-02-07 14:29:57 (Show Source):
You can put this solution on YOUR website!
show me a linear function that passes through the point (0,3)
y = 3


Surface-area/711755: The volume of a cube that measures 10 cm in length, 10 cm in width, and 10 cm in height is one liter.
1 solutions

Answer 437571 by Alan3354(31528) About Me  on 2013-02-07 14:04:29 (Show Source):
You can put this solution on YOUR website!
The volume of a cube that measures 10 cm in length, 10 cm in width, and 10 cm in height is one liter.
----------
That's true.
1000 cc = 1000 ml = 1 liter


Expressions-with-variables/711750: 12t^2+17t=40....it says to solve.
when i try to do it i come up with t=5/4,8/3...my teacher says its wrong and to do it again. i did it again and get 0. please PLEASE help me and please show your work.
thank you so much
~April
1 solutions

Answer 437570 by Alan3354(31528) About Me  on 2013-02-07 14:00:30 (Show Source):
You can put this solution on YOUR website!
12t^2+17t=40
12t^2+17t-40 = 0
(3t - 8)*(4t + 5) = 0
--------
t = -5/4 **** you have +5/4
t = 8/3
=================
PS It's still February, not April.


Polynomials-and-rational-expressions/711663: What do u figure out x-4 ove 6 = to 5 over 6
1 solutions

Answer 437565 by Alan3354(31528) About Me  on 2013-02-07 13:32:34 (Show Source):
You can put this solution on YOUR website!
x-4 ove 6 = to 5 over 6
------------------
I think what you mean, and what you should say, is
Solve for x.
--------
%28x-4%29%2F6+=+5%2F6
Multiply by 6
x-4 = 5
Add 4
x = 9


Travel_Word_Problems/711714: How Long Will A Car travell At A Speed Of 60 km Per hour At A Distance Of 360km? Say The Time Taken.

1 solutions

Answer 437562 by Alan3354(31528) About Me  on 2013-02-07 13:00:05 (Show Source):
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How Long Will A Car travell At A Speed Of 60 km Per hour At A Distance Of 360km? Say The Time Taken.
----------------
d = r*t
t = d/r


Trigonometry-basics/711652: (1+sin(x))^2 = cos^2(x) = 2(1+sin(x))
Proof please.
1 solutions

Answer 437542 by Alan3354(31528) About Me  on 2013-02-07 11:12:58 (Show Source):
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(1+sin(x))^2 = cos^2(x) = 2(1+sin(x))
--------------
Too many equal signs.


Trigonometry-basics/711651: (1/cos(x) + tan(x))(1/cos(x) - tan(x)) = 1
Proof please.
1 solutions

Answer 437540 by Alan3354(31528) About Me  on 2013-02-07 11:11:00 (Show Source):
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(1/cos(x) + tan(x))(1/cos(x) - tan(x)) = 1
Step 1: Change to sines and cosines.


Trigonometry-basics/711650: (cos^4(x)-sin^4(x))/cos^2(x) = 1-tan^2(x)
I need the proof, PLEASE
1 solutions

Answer 437539 by Alan3354(31528) About Me  on 2013-02-07 11:09:58 (Show Source):
You can put this solution on YOUR website!
(cos^4(x)-sin^4(x))/cos^2(x) = 1-tan^2(x)
Multiply by cos^2
(cos^4(x)-sin^4(x)) = cos^2 - sin^2
(cos^2(x)-sin^2(x))*(cos^2 + sin^2) = cos^2 - sin^2
(cos^2(x)-sin^2(x))*1 = cos^2 - sin^2
----------------------
The way to do these is to try things.


Linear_Equations_And_Systems_Word_Problems/711659: If a plane can travel 490 miles per hour with the wind and 430 miles per hour against the wind, find the speed of the plane in still air.
1 solutions

Answer 437536 by Alan3354(31528) About Me  on 2013-02-07 11:03:34 (Show Source):
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If a plane can travel 490 miles per hour with the wind and 430 miles per hour against the wind, find the speed of the plane in still air.
--------------
It's the average of those 2 speeds, and it's called airspeed.


Equations/711662: X(x+4) - please can anyone help with this equation?
1 solutions

Answer 437535 by Alan3354(31528) About Me  on 2013-02-07 11:02:06 (Show Source):
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X(x+4) - please can anyone help with this equation?
It's not an equation.
Equations have equal signs.
----
If you want to multiply that:
x%28x%2B4%29+=+x%5E2+%2B+4x



Numbers_Word_Problems/711667: The sum of seven consecutive even numbers is 2002. What is the smallest of these seven numbers?
1 solutions

Answer 437533 by Alan3354(31528) About Me  on 2013-02-07 10:58:03 (Show Source):
You can put this solution on YOUR website!
The sum of seven consecutive even numbers is 2002. What is the smallest of these seven numbers?
---------
2002/7 = 286, the middle number


Linear-systems/711673: a+9b=23
a+2b=2
Use the elimination method to solve the systems of equations
1 solutions

Answer 437532 by Alan3354(31528) About Me  on 2013-02-07 10:54:43 (Show Source):
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a+9b=23
a+2b=2
------------- Subtract


expressions/711675: What is: w - 20 = 6w
1 solutions

Answer 437529 by Alan3354(31528) About Me  on 2013-02-07 10:54:02 (Show Source):
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What is: w - 20 = 6w
------------
It's an equation.


Trigonometry-basics/711661: I have calculated this:
cos(-x)= -1/2
cos(x)= 1/2
x=60 degrees + 2 pi
Above answer is wrong, but what is wrong?
I would be happy if you help me find the right answer and show the calculation step by step so I know how to do it and see what I did wrong.
Thank you for helping me!
1 solutions

Answer 437527 by Alan3354(31528) About Me  on 2013-02-07 10:48:44 (Show Source):
You can put this solution on YOUR website!
I have calculated this:
cos(-x)= -1/2
cos(x)= 1/2 ************ cos(-x) = cos(x)
x = ±120 degs ± n*360, n = 0,1,2,3...
==============
x=60 degrees + 2 pi Not a good idea to mix degs and radians.
Above answer is wrong, but what is wrong?
I would be happy if you help me find the right answer and show the calculation step by step so I know how to do it and see what I did wrong.
Thank you for helping me!


Numbers_Word_Problems/711672: if the sum of two consecutive odd number is 33. find the number
1 solutions

Answer 437524 by Alan3354(31528) About Me  on 2013-02-07 10:44:41 (Show Source):
You can put this solution on YOUR website!
if the sum of two consecutive odd number is 33. find the number
------------
The sum of 2 odd numbers is an even number, can't be 33.


Equations/711654: Find the equation of the circle touching line x-2y=3 at (-1,-2) and having radius sqrt(5)
I've been trying to solve this one for 5 hours, I'm really desperate, I tried all the examples here but still no luck... I think that there is something wrong with my method. I looked for the sloped of radius then plug (-1,-2) to get its equation then equate it with the tangent line...... its seems not to work. Any help will be greatly appreciated.
1 solutions

Answer 437513 by Alan3354(31528) About Me  on 2013-02-07 10:04:17 (Show Source):
You can put this solution on YOUR website!
Find the equation of the circle touching line x-2y=3 at (-1,-2) and having radius sqrt(5)
I've been trying to solve this one for 5 hours, I'm really desperate, I tried all the examples here but still no luck... I think that there is something wrong with my method. I looked for the sloped of radius then plug (-1,-2) to get its equation then equate it with the tangent line.
=========================
I assume that "touching" means tangent.
The line from (-1,-2) has to be perpendicular to the line x-2y = 3
--> Its slope = -2.
----------
Find the equation of a line with m = -2 thru the point (-1,-2)
The centers of the circles (there are 2) will be on that line, sqrt(5) units from (-1,-2)


Polygons/711611: are all equilateral triangles similar?why?


1 solutions

Answer 437496 by Alan3354(31528) About Me  on 2013-02-07 08:56:10 (Show Source):
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are all equilateral triangles similar?
----
Yes.
==============
why?
All the angles are 60 degs, only the side lengths are different.


Money_Word_Problems/711626: in p=2a+2b, if p doubles, do a & b necessary both double
1 solutions

Answer 437491 by Alan3354(31528) About Me  on 2013-02-07 08:32:54 (Show Source):
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in p=2a+2b, if p doubles, do a & b necessary both double
----------------
eg,
a = 4, b = 6 --> p = 20
a = 14, b = 6 --> p = 40
a = 7, b = 13 --> p = 40
-----
Apparently not.


Quadratic-relations-and-conic-sections/711622: y²/9+x²/4=1
1 solutions

Answer 437486 by Alan3354(31528) About Me  on 2013-02-07 08:20:25 (Show Source):
You can put this solution on YOUR website!
y²/9+x²/4=1
--------------
Do you have a question?


Length-and-distance/711602: How can we prove that 6=1/3 ?
1 solutions

Answer 437473 by Alan3354(31528) About Me  on 2013-02-07 06:50:14 (Show Source):
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How can we prove that 6=1/3 ?
---
We can't because it doesn't.


Polynomials-and-rational-expressions/711482: Hi! My question is this..f(x)=x^3+4x^2-5
Thanks!
Melissa
1 solutions

Answer 437431 by Alan3354(31528) About Me  on 2013-02-06 20:53:06 (Show Source):
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Hi! My question is this..f(x)=x^3+4x^2-5
-------------
That's a function, not a question.
What do you want to do?


Numeric_Fractions/711423: How I write in simplest form 3 5/8 + 11 1/2?

1 solutions

Answer 437413 by Alan3354(31528) About Me  on 2013-02-06 19:48:07 (Show Source):
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3 5/8 + 11 1/2?
---------
= 29/8 + 23/2
= 29/8 + 92/8
= 121/8


logarithm/711421: I can't figure this out.
First of all, the 4's in this problem are down at the bottom (like the opposite of an exponent) I can't remember what they are called.
It says, log4(x+7)= log4 14
tiny fours at the bottom of each log.
Thanks!
Melissa
1 solutions

Answer 437403 by Alan3354(31528) About Me  on 2013-02-06 19:07:31 (Show Source):
You can put this solution on YOUR website!
4 is the bases.
log%284%2Cx%2B7%29+=+log%284%2C14%29
-------
x + 7 = 14
x = 7