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expressions/749591: Multiply (-5/6)(1/8)(-3/7)(-1/7)
1 solutions

Answer 456080 by Alan3354(30959) About Me  on 2013-05-16 18:33:22 (Show Source):
You can put this solution on YOUR website!
Multiply (-5/6)(1/8)(-3/7)(-1/7)
--------
Multiply the NUMs
5*1*3*1 = 15
---
Multiply the DENs
6*8*7*7 = 2352
--> 15/2352 = 5/784
----
There are 3 minus signs, and odd number --> negative
====================
= -5/784


Linear-equations/749593: I have a question for "What is the equation of a line that has a slope of zero and a y-intercept of 4?"
and
"What is the equation of a line that has a slope of 3 and a y-intercept of -3?"
1 solutions

Answer 456078 by Alan3354(30959) About Me  on 2013-05-16 18:29:15 (Show Source):
You can put this solution on YOUR website!
I have a question for "What is the equation of a line that has a slope of zero and a y-intercept of 4?"
y = 0x + 4
y = 4 is AN equation for the line.
-----------------
and
"What is the equation of a line that has a slope of 3 and a y-intercept of -3?
y = 3x - 3 is AN equation for the line.


Exponents/749592: How would I convert 523,000,000 to scientific notation?
Thanks :)
1 solutions

Answer 456076 by Alan3354(30959) About Me  on 2013-05-16 18:23:43 (Show Source):
You can put this solution on YOUR website!
How would I convert 523,000,000 to scientific notation?
----------
= 5.23*10^s s = some exponent
Count how many places to move the decimal point to between the 5 and the 2.
That's the exponent s


Inequalities/749594: Simplify 26/39
1 solutions

Answer 456074 by Alan3354(30959) About Me  on 2013-05-16 18:22:21 (Show Source):
You can put this solution on YOUR website!
Simplify 26/39
-----------
It looks simple to me.


Proportions/749531: Alex had a 4 mile head start on Mika. How long will it take Mika to catch Alex if Alex traveled at 6 miles per hour and Mika traveled at 8 miles per hour?
1 solutions

Answer 456051 by Alan3354(30959) About Me  on 2013-05-16 16:24:58 (Show Source):
You can put this solution on YOUR website!
Alex had a 4 mile head start on Mika. How long will it take Mika to catch Alex if Alex traveled at 6 miles per hour and Mika traveled at 8 miles per hour?
-----------------
Mika gains on Alex at 2 mi/hr (8 - 6)
4/2 = 2 hours


Systems-of-equations/749523: How do you simplify and write in the form of a+bi? (4cis20°)^5
1 solutions

Answer 456048 by Alan3354(30959) About Me  on 2013-05-16 16:21:30 (Show Source):
You can put this solution on YOUR website!
How do you simplify and write in the form of a+bi? (4cis20°)^5
-------
= 4^5cis100
= 1024cos(100) + 1024sin(100)i


Trigonometry-basics/749530: Simplifying Basic Trig identities
(1+sin^2 x ) (1-sin^2 x )
1 solutions

Answer 456041 by Alan3354(30959) About Me  on 2013-05-16 16:09:20 (Show Source):
You can put this solution on YOUR website!
(1+sin^2 x ) (1-sin^2 x )
-------
= 1 - sin^4(x)


Polygons/749536: Each interior angle of a regular convex polygon measures 156°. How many sides does the polygon have?
1 solutions

Answer 456037 by Alan3354(30959) About Me  on 2013-05-16 15:54:38 (Show Source):
You can put this solution on YOUR website!
Each interior angle of a regular convex polygon measures 156°. How many sides does the polygon have?
------------
Exterior angles = 180 - 156 = 24 degs
360/24 = 15 sides


Linear-systems/749526: a rectangle has an area of 126 units ^2 and a perimeter of 46 units. Find the dimensions
1 solutions

Answer 456029 by Alan3354(30959) About Me  on 2013-05-16 15:02:55 (Show Source):
You can put this solution on YOUR website!
a rectangle has an area of 126 units ^2 and a perimeter of 46 units. Find the dimensions
-----------
9 by 14


Rational-functions/749524: How do you solve How+do+you+solve+(22x^8y^2z^5/14x^3z)(35x^4y^3z/32x^2yz^8)
My final answer was 770x^7y^4/448z^3
1 solutions

Answer 456028 by Alan3354(30959) About Me  on 2013-05-16 14:59:31 (Show Source):
You can put this solution on YOUR website!
How do you solve %2822x%5E8y%5E2z%5E5%2F14x%5E3z%29%2835x%5E4y%5E3z%2F32x%5E2yz%5E8%29
---------------
You don't solve it. When something is solved, you get x = ..... or y = ... something.
This is to be simplified.
%2822x%5E8y%5E2z%5E5%2F14x%5E3z%29%2835x%5E4y%5E3z%2F32x%5E2yz%5E8%29
Cancel things, one at a time or in groups.
= %2811x%5E5y%5E2z%5E5%2F7z%29%2835x%5E4y%5E3z%2F32x%5E2yz%5E8%29
= %2811x%5E5y%5E2%29%285x%5E4y%5E3z%2F32x%5E2yz%5E4%29
= %2811x%5E5y%5E2%29%285x%5E2y%5E2%2F32z%5E3%29
= %2855x%5E7y%5E4%29%281%2F32z%5E3%29
= 55x%5E7y%5E4%2F%2832z%5E3%29
--------------
My final answer was 770x^7y^4/448z^3
Your answer can be reduced further
770x^7y^4/448z^3
= 110x^7y^4/64z^3
= 55x^7y^4/32z^3 the same


Quadratic_Equations/749512: Could you help me solve this problem?
Does the graph of f(x)= -x squared -5x+6 have the point (2, -6) on it?
Thanks so much!
1 solutions

Answer 456027 by Alan3354(30959) About Me  on 2013-05-16 14:51:28 (Show Source):
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Does the graph of f(x)= -x squared -5x+6 have the point (2, -6) on it?
Does the graph of f(x)= -x^2 -5x+6 have the point (2,-6) on it?
----------
--> is f(2) = -6 ?
f(2) = -4 -10 + 6
f(2) = -8
--> not on the graph


logarithm/749522: the question is to solve for x ..
log base 3 (2x+5) - Log base 3 (x-8) =1
ive gotten as far as log(2x+5/x-8) = 1 and now im stuck
1 solutions

Answer 456022 by Alan3354(30959) About Me  on 2013-05-16 14:40:36 (Show Source):
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the question is to solve for x ..
log base 3 (2x+5) - Log base 3 (x-8) =1
ive gotten as far as log(2x+5/x-8) = 1 and now im stuck
====================
1+=+log%283%2C3%29
----
log%283%2C%282x%2B5%29%2F%28x-8%29%29+=+log%283%2C3%29
%282x%2B5%29%2F%28x-8%29+=+3


Linear-systems/749517: How do you workout the problem x^2+9y^2=9
-2x+1y=-3 by elimination method
1 solutions

Answer 456019 by Alan3354(30959) About Me  on 2013-05-16 14:37:02 (Show Source):
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x^2+9y^2=9
-2x+1y=-3 --> y = 2x-3
---------
Sub for y in the 1st eqn
x^2+9y^2=9
x%5E2+%2B+9%2A%282x-3%29%5E2+=+9
x%5E2+%2B+36x%5E2+-+108x+%2B+81+=+9
37x%5E2+-+108x+%2B+72+=+0
-------
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 37x%5E2%2B-108x%2B72+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-108%29%5E2-4%2A37%2A72=1008.

Discriminant d=1008 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--108%2B-sqrt%28+1008+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-108%29%2Bsqrt%28+1008+%29%29%2F2%5C37+=+1.88850021260507
x%5B2%5D+=+%28-%28-108%29-sqrt%28+1008+%29%29%2F2%5C37+=+1.03041870631385

Quadratic expression 37x%5E2%2B-108x%2B72 can be factored:
37x%5E2%2B-108x%2B72+=+%28x-1.88850021260507%29%2A%28x-1.03041870631385%29
Again, the answer is: 1.88850021260507, 1.03041870631385. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+37%2Ax%5E2%2B-108%2Ax%2B72+%29

=============
It might be called "elimination" since the y terms were eliminated by the substitution.


Probability-and-statistics/749502: What is the probability that first name drawn from the hat will be a woman

1 solutions

Answer 456015 by Alan3354(30959) About Me  on 2013-05-16 14:29:41 (Show Source):
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What is the probability that first name drawn from the hat will be a woman
-------------
Depends on what's in the hat.


logarithm/749469: i need help with solving logs
solve the equation
6^(x-1)-3=9
thanks
1 solutions

Answer 456013 by Alan3354(30959) About Me  on 2013-05-16 14:26:59 (Show Source):
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solve the equation
6^(x-1)-3=9
---------------
6^(x-1) = 12
(x-1)*log(6) = log(12)
x-1 = log(12)/log(6)
x = 1 + log(12)/log(6)
You can stop here, or
----------------
x = (log(6) + log(12))/log(6)
x = log(72)/log(6)
or,
x+=+log%286%2C72%29
--------
x =~ 2.387


Triangles/749516: 1. Find b. Round to the nearest whole inch.
the triangle ABC with length BC 14 in. Angle B = 82 degrees and Angle A= 54 degrees. And length AC = b
(Points : 1)
17 in.
6 in.
11 in.
14 in.

1 solutions

Answer 456012 by Alan3354(30959) About Me  on 2013-05-16 14:20:34 (Show Source):
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the triangle ABC with length BC 14 in. Angle B = 82 degrees and Angle A= 54 degrees. And length AC = b
-----------------
BC = a
-----------
a/sin(A) = b/sin(B)
14/sin(54) = b/sin(82)
b = 14*sin(82)/sin(54)
b =~ 17 in


Age_Word_Problems/749511: a man was 32 when his son was born. Ten years ago he was three times as old as his son. Find their ages now.
1 solutions

Answer 456007 by Alan3354(30959) About Me  on 2013-05-16 14:01:29 (Show Source):
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a man was 32 when his son was born. Ten years ago he was three times as old as his son. Find their ages now.
---------------
Age difference = 32
3 times --> 48 & 16
48 + 10 = 58 & 26 now


Quadratic_Equations/749476: What is the axis of symmetry of the equation y=2x^2+5x-4.
1 solutions

Answer 455979 by Alan3354(30959) About Me  on 2013-05-16 11:48:45 (Show Source):
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What is the axis of symmetry of the equation y=2x^2+5x-4.
----------
It's x = -b/2a
a = 2
b = 5
c =-4


Probability-and-statistics/749482: the formula for converting degrees fahrenheit (F) to degrees celsius (C) is C 5/9 (F _32) find C when F is 41
1 solutions

Answer 455973 by Alan3354(30959) About Me  on 2013-05-16 11:46:41 (Show Source):
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the formula for converting degrees fahrenheit (F) to degrees celsius (C) is C 5/9 (F _32) find C when F is 41
------------
It's C = (5/9)*(F-32)
Temp 41F = 5C


Age_Word_Problems/749411: Marie is 16 and twice as old as bobby. how old will Marie be when she's twice as old as bobby?
1 solutions

Answer 455969 by Alan3354(30959) About Me  on 2013-05-16 11:45:28 (Show Source):
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Marie is 16 and twice as old as bobby. how old will Marie be when she's twice as old as bobby?
----------
She's twice as old now.
= 16


Rate-of-work-word-problems/749477: Amso can dig a hole in 6 hrs, Ndou candig the same hole in 4 hrs. How long would it take both Amso and Iblis to dig half a hole if they worked together?
1 solutions

Answer 455964 by Alan3354(30959) About Me  on 2013-05-16 11:42:48 (Show Source):
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Amso can dig a hole in 6 hrs, Ndou candig the same hole in 4 hrs. How long would it take both Amso and Iblis to dig half a hole if they worked together?
----------
In 1 hour, Amso digs 1/6 of the hole, Ndou digs 1/4.
Together, they dig 1/6 + 1/4 = 10/24 holes/hour
--> 24/10 hours/hole
= 2.4 hours
===============


Angles/749475: How do you solve:
In a circle with center O, arc RS=12 degrees. How many degrees are there in angle RSO?
1 solutions

Answer 455962 by Alan3354(30959) About Me  on 2013-05-16 11:40:17 (Show Source):
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In a circle with center O, arc RS=12 degrees. How many degrees are there in angle RSO?
-----------
RS is not a straight line, it's the arc.
The angle between the tangent at point S and the radius SO is 90 degs


Equations/749462: If x - z = xy + w, then x equals:
I tried: x - z + z = xy + w + z
x = xy +w + z
x/y = xy/y + w + z
x/y = x + w + z
stuck!
1 solutions

Answer 455960 by Alan3354(30959) About Me  on 2013-05-16 11:37:21 (Show Source):
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x - z = xy + w
Solve for x
Add z
x = xy + w + z
Subtract xy
x - xy = w + x
x(1-y) = w + z
x = (w + z)/(1 - y)


logarithm/749444: How to write these equations in logarithmic form?
49=(1/7)^-2
a=b^c
1 solutions

Answer 455953 by Alan3354(30959) About Me  on 2013-05-16 10:37:04 (Show Source):
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How to write these equations in logarithmic form?
-----
Logs are exponents.
The base is what's raised to the exponent
49=(1/7)^-2
log%281%2F7%2C49%29+=+-2
---------
a=b^c
log%28b%2Ca%29+=+c


Rectangles/749452: 62' x 48' what is the diagonal
1 solutions

Answer 455952 by Alan3354(30959) About Me  on 2013-05-16 10:35:10 (Show Source):
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62' x 48' what is the diagonal
---------
d%5E2+=+62%5E2+%2B+48%5E2


Rectangles/749455: what is the slope intercept form of 8x-y-6=0
1 solutions

Answer 455951 by Alan3354(30959) About Me  on 2013-05-16 10:34:01 (Show Source):
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what is the slope intercept form of 8x-y-6=0
------------
Solve for y


Linear-equations/749456: What is 2+2
1 solutions

Answer 455950 by Alan3354(30959) About Me  on 2013-05-16 10:33:26 (Show Source):
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What is 2+2
It's an addition problem.


logarithm/749398: how do i solve +ln%28x-1%29-ln%28x%2B1%29=1+
1 solutions

Answer 455949 by Alan3354(30959) About Me  on 2013-05-16 10:22:12 (Show Source):
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+ln%28x-1%29-ln%28x%2B1%29=1+
+ln%28%28x-1%29%2F%28x%2B1%29%29+=+1+
+ln%28%28x-1%29%2F%28x%2B1%29%29+=+ln%28e%29
%28x-1%29%2F%28x%2B1%29+=+e
x - 1 = ex + e
x - ex = 1 + e
x(1 - e) = 1 + e
x = (1 + e)/(1 - e)
---------
1 - e is negative --> x is negative.
--> ln(x-1) is ln(negative)
--> no solution.


Triangles/749435: I am looking at putting a camera in a 12x12 stall and the camera is 9 ft in the air. The camera I am looking at says it is a 63 degree angle. I need to know if that camera will cover the whole stall at that angle?
Thanks!
1 solutions

Answer 455941 by Alan3354(30959) About Me  on 2013-05-16 09:35:02 (Show Source):
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I am looking at putting a camera in a 12x12 stall and the camera is 9 ft in the air. The camera I am looking at says it is a 63 degree angle. I need to know if that camera will cover the whole stall at that angle?
--------------
12 by 12 must mean the floor of the stall.
What part is in the frame depends on the location relative to the floor and the focal length.
If it's above the center of the floor 9' up, and 63 degs is the included angle, it will cover a circle 5.52' in diameter. Not all of the floor.
------------
To view all of the floor, it would have to be 13.85' above it.


Mixture_Word_Problems/749437: How many gallons of a 50% solution of acid must be mixed with 80 gal of a 15% solution to get a mixture that is 40% acid
1 solutions

Answer 455940 by Alan3354(30959) About Me  on 2013-05-16 09:18:39 (Show Source):
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How many gallons of a 50% solution of acid must be mixed with 80 gal of a 15% solution to get a mixture that is 40% acid
-----------------
80*15 + x*50 = (80+x)*40


logarithm/749401: Value of log 1-10
1 solutions

Answer 455939 by Alan3354(30959) About Me  on 2013-05-16 09:12:02 (Show Source):
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Value of log 1-10
-----------
That's not clear.