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Fombitz answered: 13805 problems
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absolute-value/355888: If the absolute value of x-a is equal to the absolute value of x-b then what is x equal to?
I think x is equal to -a+b over 2, I'm not sure though & need help.
1 solutions

Answer 254106 by Fombitz(13828) About Me  on 2010-10-13 16:38:52 (Show Source):
You can put this solution on YOUR website!
abs%28x-a%29=abs%28x-b%29
x-a=x-b and -%28x-a%29=x-b
-a=-b and -x%2Ba=x-b
-a=-b and -2x=-a-b
-a=-b and x=%28a%2Bb%29%2F2
From the first expression, there is no solution.
From the second expression,
highlight%28x=%28a%2Bb%29%2F2%29 is the intersection point.
.
.
.
As an example,
abs%28x-2%29=abs%28x-8%29
.
.
Should have an intersection point (solution) at x=%282%2B8%29%2F2=5
Then
y=abs%285-2%29=abs%285-8%29=3
.
.
.



Numbers_Word_Problems/355865: the product of 8 and the sum of a number and 3 is equal to 40. Find the number
1 solutions

Answer 254095 by Fombitz(13828) About Me  on 2010-10-13 15:44:04 (Show Source):
You can put this solution on YOUR website!
Let N be the number,
8%2A%28N%2B3%29=40
N%2B3=5
N=2


Complex_Numbers/355875: show that the integration from ( 0 to infinity ) for ( cos 3x / ( x^2+1)^2 )= 2pi/e^3

please .. help .. with steps of solution


1 solutions

Answer 254094 by Fombitz(13828) About Me  on 2010-10-13 15:42:57 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Answer 253988


Quadratic-relations-and-conic-sections/355606: Graph each circle. Label the center and radius length.
(x-3)^2+y^2=36
1 solutions

Answer 254093 by Fombitz(13828) About Me  on 2010-10-13 15:41:26 (Show Source):
You can put this solution on YOUR website!
The circle is centered at (3,0) with a radius of 6.
.
.
.


Equations/355794: 5/x+3 + 11/x-6 = 9/x^2-3x-18
1 solutions

Answer 254091 by Fombitz(13828) About Me  on 2010-10-13 15:36:19 (Show Source):
You can put this solution on YOUR website!
Use the common denominator, %28x-6%29%28x%2B3%29=x%5E2-3x-18.

.
.
%285%28x-6%29%2B11%28x%2B3%29-+9%29%2F%28x%5E2-3x-18%29=0
.
.
%285x-30%2B11x%2B33-9%29%2F%28x%5E2-3x-18%29=0
.
.
%2816x-6%29%2F%28%28x%2B3%29%28x-6%29%29=0
.
.
%282%288x-3%29%29%2F%28%28x%2B3%29%28x-6%29%29=0
One solution:
8x-3=0
8x=3
highlight%28x=3%2F8%29


Equations/355795: 1-5/x - 24/x^2=0
1 solutions

Answer 254089 by Fombitz(13828) About Me  on 2010-10-13 15:30:50 (Show Source):
You can put this solution on YOUR website!
Use the common denominator, x%5E2.
x%5E2%2Fx%5E2-%285x%29%2Fx%5E2-24%2Fx%5E2=0
%28x%5E2-5x-24%29%2Fx%5E2=0
%28%28x-8%29%28x%2B3%29%29%2Fx%5E2=0
Two solutions:
x-8=0
highlight%28x=8%29
.
.
.
x%2B3=0
highlight%28x=-3%29


Linear_Algebra/355841: what the meaning of rings?
1 solutions

Answer 254088 by Fombitz(13828) About Me  on 2010-10-13 15:27:31 (Show Source):
You can put this solution on YOUR website!
Onion?
Engagement?
Saturn's?
or do you mean in an algebraic sense.
.
.
.
Here's a concise write-up with links if you're interested.
http://mathworld.wolfram.com/Ring.html


test/355813: 1) Write y=5/3x-6/8 in standard form.
2) Write y=0.40x+0.39 in standard form.
1 solutions

Answer 254087 by Fombitz(13828) About Me  on 2010-10-13 15:23:47 (Show Source):


Equations/355869: >multiply (-3*4) + (4*-2) + (-3*3)
>
> so it should be -12 + -8 + -9= -29
>
> final answer is now -29
my final answer is 5
1 solutions

Answer 254086 by Fombitz(13828) About Me  on 2010-10-13 15:20:17 (Show Source):
You can put this solution on YOUR website!
Yes, that's correct.
Well done.


Numbers_Word_Problems/355870: Can you help me with this equation on my math homework? I'm in Algebra 8th grade and this is my problem:
1/8(B-9)=B+9
TY
Victoria
1 solutions

Answer 254084 by Fombitz(13828) About Me  on 2010-10-13 15:19:29 (Show Source):
You can put this solution on YOUR website!
I assume you're solving for B.
%281%2F8%29%28B-9%29=B%2B9
Multiply both sides by 8.
B-9=8B%2B72
Now take it from there and solve for B.


test/355862: Please help me solve this equation:
Evaluate the following integrals using trigonometric substitutions.
a) +int+%28+x%5E2+%2F+%28+sqrt+%281-%28x%5E2%29+%29+%29%2C+dx+%29+
b) +int+%28+1%2F+%28sqrt+%2829-4x%2B%28x%5E2%29%29+%29%2C+dx+%29+
1 solutions

Answer 254082 by Fombitz(13828) About Me  on 2010-10-13 15:13:19 (Show Source):
You can put this solution on YOUR website!
Use a substitution.
Let x=sin%28u%29, dx=cos%28u%29du
x%5E2=%28sin%28u%29%29%5E2
1-x%5E2=1-%28sin%28u%29%29%5E2=%28cos%28u%29%29%5E2
sqrt%281-x%5E2%29=cos%28u%29
.
.
.


Take it from there and solve for the integral in u, then back substitute to x.
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.
.
Complete the square in the denominator.


Substitute, let u=x-2, du=dx

Substitute again, let u=5tan%28v%29, du=5%28sec%28v%29%5E2%29dv

sqrt%28u%5E2%2B25%29=5%2Asec%28v%29
1%2Fsqrt%28u%5E2%2B25%29=1%2F%285%2Asec%28v%29%29

+int+%28+1%2F+%28sqrt+%2829-4x%2B%28x%5E2%29%29+%29%2C+dx+%29+=int+%28+sec%28v%29%2C+dv%29+
Take it from here and get the solution in v, back substitute for u, and then back substitute for x.
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.
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Linear-equations/355861: how do I graph Slope -3; and y-intercept (0,2)??
I'm having troubles when the slope is not a fraction!
1 solutions

Answer 254078 by Fombitz(13828) About Me  on 2010-10-13 14:57:57 (Show Source):
You can put this solution on YOUR website!
-3 is a fraction, the denominator is just 1.
Maybe thinking about it that way will help you.
.
.
So start with the y-intercept (0,2).
The slope is change in y divided by change in x.
So if I move 1 unit in x, I should move -3 units in y.
(0,2)+(1%7D%7D%5D%2C%7B%7B%7B-3)=(0%2B1,2-3)=(1,-1)
So then (1,-1) is another point on the line.
Plot those two points and connect them with the line.
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.
.



Exponents/355793: A to the 10th power divided by A to the N power
1 solutions

Answer 254073 by Fombitz(13828) About Me  on 2010-10-13 14:53:58 (Show Source):


Linear-equations/355860: What is a equation in slope intercept form of the line that has the same slope as 3x-y+4=0 and contains the point (2,-3)?
1 solutions

Answer 254072 by Fombitz(13828) About Me  on 2010-10-13 14:52:53 (Show Source):
You can put this solution on YOUR website!
It would have the same x-y relationship.
3x-y so use the point to determine the right hand side.
3%282%29-%28-3%29=6%2B3=9
3x-y=9
highlight%28y=3x-9%29


Linear-equations/355848: Reduce to lowest terms.
-2x-8/x^2+2x-8
1 solutions

Answer 254065 by Fombitz(13828) About Me  on 2010-10-13 14:28:40 (Show Source):


Graphs/355847: PLEASE CAN YOU EXPLAIN THE STEPS
WRITE AN EQUATION FOR THE VERTICAL LINE THROUGH THE POINT (5,7)
THANK YOU
1 solutions

Answer 254064 by Fombitz(13828) About Me  on 2010-10-13 14:27:07 (Show Source):
You can put this solution on YOUR website!
Vertical lines have the form, x=a.
Use the given point's x-coordinate to solve for a
a=5
highlight%28x=5%29


Numbers_Word_Problems/355735: If you double an odd number, is the result another odd number?
1 solutions

Answer 254017 by Fombitz(13828) About Me  on 2010-10-13 09:58:42 (Show Source):
You can put this solution on YOUR website!
No, doubling a number is adding it to itself.
Adding two odd numbers gives you an even number.
Odd numbers are even numbers plus 1.
Odd+Odd=(Even+1)+(Even+1)=Even+Even+2
An even number plus an even number is an even number.


Reduction-of-unit-multipliers/355736: I have a homework question that I don't really understand..It says 'Use one unit multiplier to convert 16 miles to feet.' There is 5,280 feet in a mile but I don't understand anything else.
1 solutions

Answer 254015 by Fombitz(13828) About Me  on 2010-10-13 09:56:27 (Show Source):
You can put this solution on YOUR website!
The unit multiplier would be (5280 ft/1 mile).
16 miles*(5280 ft/1 mile)=84480 ft


Graphs/355701: PLEASE EXPLAIN
WRITE AN EQUATION FOR THE LINE THROUGH THE POINT(1,1) AND PERPENDICULAR TO THE LINE 2X+Y=9
THANK YOU
1 solutions

Answer 254014 by Fombitz(13828) About Me  on 2010-10-13 09:55:21 (Show Source):
You can put this solution on YOUR website!
Convert the line to slope-intercept form, y=mx%2Bb.
2x%2By=9
y=-2x%2B9
Perpendicular lines have slopes that are negative reciprocals.
m%5B1%5D%2Am%5B2%5D=-1
-2%2Am%5B2%5D=-1
m%5B2%5D=1%2F2
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.
.
y=%281%2F2%29x%2Bb
Use the point to determine b
1=%281%2F2%29%281%29%2Bb
b=1%2F2
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.
highlight%28y=%28x%2B1%29%2F2%29
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.


Linear-equations/355731: please explain steps
solve the linear equation
5x/2+2=12
thank you
1 solutions

Answer 254013 by Fombitz(13828) About Me  on 2010-10-13 09:51:22 (Show Source):
You can put this solution on YOUR website!
%285%2F2%29x%2B2=12
Multiply both sides by 2.
5x%2B4=24
Now solve for x.


Probability-and-statistics/355635: What s the answer to the following question:
Estimate the proportion of observations falling within 1.2 standard deviations from the mean on a normal distribution.
1 solutions

Answer 254012 by Fombitz(13828) About Me  on 2010-10-13 09:50:34 (Show Source):
You can put this solution on YOUR website!
In other words what is the area of the distribution curve between (-1.2%2Asigma,+1.2%2Asigma).
Find P%281.2%29=0.11507.
That's the area of the region up to 1.2%2Asigma.
The area from there to x=0 would then be,
A=0.5-0.11507
A=0.38493
Twice that area would give us the area from (-1.2%2Asigma,+1.2%2Asigma).
A=0.769861


Linear-equations/355724: http://img510.imageshack.us/img510/8531/76324556.jpg

Simplify the expression
r−3s5 t 2
r2st−2 .
A. s4t4
r5
C. r−1s4
B. s4
r6t2
D. r−5s4
1 solutions

Answer 254010 by Fombitz(13828) About Me  on 2010-10-13 09:44:59 (Show Source):
You can put this solution on YOUR website!
Use parentheses and "/" to separate numerator and denominator in a fraction and the ^ symbol for exponents.
(r^( -3)s^5t^2)/(r^2st^( -2))=+%28r%5E%28+-3%29s%5E5t%5E2%29%2F%28r%5E2st%5E%28-2%29%29
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Linear-equations/355730: http://img251.imageshack.us/img251/455/40178171.jpg

Find the square root of the fraction
64/100.
A.
4
5 C.
√8
√ 10
B.
√4
√5
D.
4√2
10
1 solutions

Answer 254008 by Fombitz(13828) About Me  on 2010-10-13 09:40:59 (Show Source):


Mixture_Word_Problems/355465: a solution containing 28% fungicide is to be mixed with a solution containing 40% fungicide to make 300L of a solution containing 36% fungicide. how much of each solution should be used?
1 solutions

Answer 254007 by Fombitz(13828) About Me  on 2010-10-13 09:39:54 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 28% fungicide and let B be the amount of 40% fungicide.
.
.
.
Volume:
1.A%2BB=300
.
.
.
Concentration:
28A%2B40B=36%28300%29
2.7A%2B10B=2700
Multiply eq. 1 by (-10) and add to eq. 2 to eliminate B and solve for A.
-10A-10B%2B7A%2B10B=-3000%2B2700
-3A=-300
highlight%28A=100%29liters
Then from eq. 1,
100%2BB=300
highlight%28B=200%29liters


Permutations/355545: A sample of eight math SAT scores is given below:
640 \quad 550 \quad 710 \quad 630 \quad 680 \quad 590 \quad 590 \quad 520
Find the first and third quartiles and the interquartile range for this sample.
First Quartile ; Third Quartile ;Interquartile Range



1 solutions

Answer 254006 by Fombitz(13828) About Me  on 2010-10-13 09:36:14 (Show Source):
You can put this solution on YOUR website!
Order them.
In quartiles, they would be
520
550
---
590
590
---
630
640
---
680
710
Now you can answer your questions.


Graphs/355571: Look at Graph C below. Two linear equations are shown in the graph. What are the coordinates
of the point where the two lines intersect?
http://img222.imageshack.us/img222/7888/46524248.jpg
1 solutions

Answer 254005 by Fombitz(13828) About Me  on 2010-10-13 09:33:33 (Show Source):
You can put this solution on YOUR website!
Starting at point (0,1), move over 3 units in x (horizontally) and up 2 units in y (vertically).
(0,1)+(3,2)=(0%2B3,1%2B2)=(3,3)


Percentage-and-ratio-word-problems/355725: In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7
kinds of chairs. In how many ways can a person decorate his room if he wants to buy
in the workshop one shelf, one bed and one of the following: a chair or a closet?
1 solutions

Answer 254002 by Fombitz(13828) About Me  on 2010-10-13 09:30:41 (Show Source):
You can put this solution on YOUR website!
Shelf, Bed, Chair: N=2%2A4%2A7=56 ways
Shelf, Bed, Closet: N=2%2A4%2A3=24 ways


Equations/355722: please explain the steps
sove the equation /2x+1/=2.8
the lines are suppose to be strainght up and down lines i just don't have those on my keyboard
thank you
1 solutions

Answer 254001 by Fombitz(13828) About Me  on 2010-10-13 09:27:58 (Show Source):
You can put this solution on YOUR website!
This is an absolute value problem and is actually two problems in one.
abs%282x%2B1%29=2.8
%282x%2B1%29=2.8 and -%282x%2B1%29=2.8
2x=1.8 and 2x%2B1=-2.8
x=0.9 and 2x=-3.8
highlight%28x=0.9%29 and highlight%28x=-1.9%29


Graphs/355723: What is the slope of the line given by the equation below? If necessary, use the slash mark ( / ) for a fraction bar.

y =6/5x
1 solutions

Answer 254000 by Fombitz(13828) About Me  on 2010-10-13 09:25:42 (Show Source):
You can put this solution on YOUR website!
The line is in slope intercept form, y=mx%2Bb where m is the slope.
Comparing,
m=6%2F5


Linear-equations/355721: Write 34392.55 in scientific notation.
A. 3.439255 × 104 C. 3.439255 × 103
B. 3.439255 × 10−4 D. 3.439255 × 10−3
1 solutions

Answer 253999 by Fombitz(13828) About Me  on 2010-10-13 09:21:37 (Show Source):
You can put this solution on YOUR website!
You move the decimal point 4 places to the left.
34392.55=3.439255x10%5E%284%29


Complex_Numbers/355691: How do you simplify (3x^2-8x-2)-(11x^2+5x+4)
1 solutions

Answer 253996 by Fombitz(13828) About Me  on 2010-10-13 09:20:52 (Show Source):