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Alan3354 answered: 30973 problems
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Graphs/353848: Determine the equation of the line containing the points (0, 32) & (100, 212).... Write the equation in "y = mx + b" form..... also write equation in "Ax + By = C" form
1 solutions

Answer 252960 by Alan3354(30993) About Me  on 2010-10-09 11:02:09 (Show Source):
You can put this solution on YOUR website!
slope m = diffy/diffx = 180/100 = 1.8
b = 32
--> y = 1.8x + 32
1.8x - y = -32
-------------
This the the conversion between Fahrenheit and Celsius, btw


Problems-with-consecutive-odd-even-integers/353816: the product of three consecutive odd integers
1 solutions

Answer 252932 by Alan3354(30993) About Me  on 2010-10-09 08:45:48 (Show Source):


Quadratic_Equations/353838: Solve for X

x^2+12x+4=0
1 solutions

Answer 252931 by Alan3354(30993) About Me  on 2010-10-09 08:43:12 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B12x%2B4+=+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=%2812%29%5E2-4%2A1%2A4=128.

Discriminant d=128 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-12%2B-sqrt%28+128+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%2812%29%2Bsqrt%28+128+%29%29%2F2%5C1+=+-0.343145750507619
x%5B2%5D+=+%28-%2812%29-sqrt%28+128+%29%29%2F2%5C1+=+-11.6568542494924

Quadratic expression 1x%5E2%2B12x%2B4 can be factored:
1x%5E2%2B12x%2B4+=+%28x--0.343145750507619%29%2A%28x--11.6568542494924%29
Again, the answer is: -0.343145750507619, -11.6568542494924. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B12%2Ax%2B4+%29

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x = -6 ± 4sqrt(2)


Geometry_Word_Problems/353834: For the incline shown below, how many ft in the vertical direction correspond to 4ft in the horizontal direction? ( h=12 v=3)
1 solutions

Answer 252929 by Alan3354(30993) About Me  on 2010-10-09 08:40:41 (Show Source):
You can put this solution on YOUR website!
Slope m = v/h = 3/12 = 1/4
------------------
1/4 = h/4
h = 1 ft


Problems-with-consecutive-odd-even-integers/353831: What would be the four consecutive odd integers if the sum is -80.
1 solutions

Answer 252928 by Alan3354(30993) About Me  on 2010-10-09 08:38:49 (Show Source):
You can put this solution on YOUR website!
-80/4 = -20, the center
--> -23, -21, -19, -17


Length-and-distance/353794: Two roads diverge from a point at an angle 120. two persons starting from the point walk along roads at 3km and 2km per hour. Find the distance between them?
1 solutions

Answer 252927 by Alan3354(30993) About Me  on 2010-10-09 08:37:25 (Show Source):
You can put this solution on YOUR website!
Two roads diverge from a point at an angle 120. two persons starting from the point walk along roads at 3km and 2km per hour. Find the distance between them?
-----------
Use the Cosine Law:
c%5E2+=+a%5E2+%2B+b%5E2+-+2abcos%28C%29
c%5E2+=+4+%2B+9+-+2%2A3%2Acos%28120%29
c%5E2+=+13+%2B+3
c = 4 km/hr
c increases at 4 km/hr
c = 4t km, t in hours


Square-cubic-other-roots/353782: 324/9
1 solutions

Answer 252925 by Alan3354(30993) About Me  on 2010-10-09 08:33:32 (Show Source):


Quadratic_Equations/353839: solve for r
r^2+3r=6
type an exact answer using radicals as needed
1 solutions

Answer 252924 by Alan3354(30993) About Me  on 2010-10-09 08:32:54 (Show Source):
You can put this solution on YOUR website!
solve for r
r^2+3r=6
r%5E2+%2B+3r+-+6+=+0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B3x%2B-6+=+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=%283%29%5E2-4%2A1%2A-6=33.

Discriminant d=33 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-3%2B-sqrt%28+33+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%283%29%2Bsqrt%28+33+%29%29%2F2%5C1+=+1.37228132326901
x%5B2%5D+=+%28-%283%29-sqrt%28+33+%29%29%2F2%5C1+=+-4.37228132326901

Quadratic expression 1x%5E2%2B3x%2B-6 can be factored:
1x%5E2%2B3x%2B-6+=+%28x-1.37228132326901%29%2A%28x--4.37228132326901%29
Again, the answer is: 1.37228132326901, -4.37228132326901. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B3%2Ax%2B-6+%29

----------
r = x
r+=+%28-3%2F2%29+%2B+sqrt%2833%29%2F2
r+=+%28-3%2F2%29+-+sqrt%2833%29%2F2


Rational-functions/353704: Please I need help on:
Calculating the value of this function for the given values of the independent variable.
Pleas help me solve this:
f(x)=2x, calculate f(-1) and f(2).
I have tried multiplying f(-1)=2(2) which I think it results in -4 as the answer but I am not sure on this and I would apperciate your help on this problem and I would like if you could show the work you did so I can apply it for additional problems.
-Thank you
1 solutions

Answer 252824 by Alan3354(30993) About Me  on 2010-10-08 18:09:01 (Show Source):
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f(x)=2x, calculate f(-1) and f(2).
------------
f(-1) = 2*(-1) = -2
f(2) = 4


Permutations/353697: How many ways can a president and treasurer be selected if their are 10 members
1 solutions

Answer 252822 by Alan3354(30993) About Me  on 2010-10-08 18:06:14 (Show Source):
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10*9 = 90 ways
----------
PS It's "there are"


logarithm/353706: If \ln (x) = -0.123, what does x equal?
1 solutions

Answer 252821 by Alan3354(30993) About Me  on 2010-10-08 18:04:42 (Show Source):
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x+=+e%5E-0.123
x =~ 0.88426


logarithm/353707: what is value of x: log(base s)x =3
1 solutions

Answer 252820 by Alan3354(30993) About Me  on 2010-10-08 18:03:47 (Show Source):


Miscellaneous_Word_Problems/353682: Can the word "STONE" be played from the letters A, E, O, N, R, S, T as the first move in a Scrabble game? Explain your answer.
I feel that the answer is YES it can be used as the first move. All the letters you need are present, and there are no doubling of letters. Am I on the right track with this thinking?
Thank you
(I am taking College Math)
1 solutions

Answer 252817 by Alan3354(30993) About Me  on 2010-10-08 17:06:46 (Show Source):


Geometry_Word_Problems/353508: A rectangular room is times as long as it is wide, and its perimeter is meters. Find the dimension of the room
1 solutions

Answer 252794 by Alan3354(30993) About Me  on 2010-10-08 15:52:12 (Show Source):
You can put this solution on YOUR website!
It's L meters by W meters.
You have to provide a number for a more specific solution.


Miscellaneous_Word_Problems/353519: math209 word problem 9.2 128 radius of a sphere. The radius of a sphere is given by this formula r = (0.75V/pi)1/3 Where V is its volume Find the radius of a sphere tank that has a volume of 32pi/3
1 solutions

Answer 252793 by Alan3354(30993) About Me  on 2010-10-08 15:46:30 (Show Source):


Exponents/353637: Hi,
This message is for Alan 3354(11836) the math problem is two divided by nine over sixteen, two divided by eight over fifteen or two divided by seventeen over thirty two. Explain which term has the longest value. showing each step how you got the answer.Thanks,Tracy
1 solutions

Answer 252774 by Alan3354(30993) About Me  on 2010-10-08 14:53:13 (Show Source):
You can put this solution on YOUR website!
If I understand correctly:
2/(9/16)
Invert the divisor and multiply
= 2*(16/9) = 32/9
------------------
2/(8/15) = 2*(15/8) = 15/4
----------------
2/(17/32) = 2*(32/17) = 64/17
-----------------
Do you mean largest value?
To find that, you can find a common denominator, which is tedious.
Easier to convert them to decimal:
32/9 = 3.5555...
15/4 = 3.75
64/17 = 3.7647... the largest


Linear_Equations_And_Systems_Word_Problems/353640: there are 385 surfers in surf city. Two-thirds are boys and one-twelfth are girls. if there are two girls fro every boy, how many boys and girls are there in surf city?
1 solutions

Answer 252743 by Alan3354(30993) About Me  on 2010-10-08 13:55:58 (Show Source):
You can put this solution on YOUR website!
there are 385 surfers in surf city. Two-thirds are boys and one-twelfth are girls. if there are two girls fro every boy, how many boys and girls are there in surf city?
-----------
It can't be both 2 to 1 and 2/3 to 1/12.


Exponential-and-logarithmic-functions/353619: Solve the exponential equation. 9^x-8/10=squareroot of 10
1 solutions

Answer 252688 by Alan3354(30993) About Me  on 2010-10-08 11:44:21 (Show Source):
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Is the exponent x ? Or x-8 ? Or x - 8/10 ?


Circles/353607: Need to find the length of a fiberglass pole? Forms a curve with a 4 foot mid-point, 8 feet wide. Like making a dome tent with an 8 foot base.
1 solutions

Answer 252686 by Alan3354(30993) About Me  on 2010-10-08 11:43:06 (Show Source):
You can put this solution on YOUR website!
If it's 8 ft wide and 4 ft high, it's close to circular.
radius = 4 ft
length = 4*pi =~ 12.56 feet


Travel_Word_Problems/353612: At 9am Rob leaves his house traveling 60mph, Sue leaves the same house 15minutes later traveling 65mph. At what time will Sue catch up to Rob?
1 solutions

Answer 252684 by Alan3354(30993) About Me  on 2010-10-08 11:40:35 (Show Source):
You can put this solution on YOUR website!
At 9am Rob leaves his house traveling 60mph, Sue leaves the same house 15minutes later traveling 65mph. At what time will Sue catch up to Rob?
----------
In 15 mins, Rob is 15 miles away.
Sue's speed relative to Rob is 5 mph (65-60)
15 miles/5 mph = 3 hours
9:15 + 3 = 12:15 PM


test/353615: -3(5+x)=0
1 solutions

Answer 252681 by Alan3354(30993) About Me  on 2010-10-08 11:38:07 (Show Source):
You can put this solution on YOUR website!
-3(5+x)=0
Divide by -3
5+x = 0
x = -5


Quadratic_Equations/353571: what is the difference between solving equation by factoring and equation using tsbles? can you please give me an example thankyou.. Yuli
1 solutions

Answer 252661 by Alan3354(30993) About Me  on 2010-10-08 10:44:44 (Show Source):
You can put this solution on YOUR website!
You provide an example of solving using tables.
I don't know what that is.


Surface-area/353543: in circle O, OB=6and AB=2.The ratio of the shaded portion to the small circle=?
1 solutions

Answer 252653 by Alan3354(30993) About Me  on 2010-10-08 10:30:41 (Show Source):
You can put this solution on YOUR website!
No shaded portion or small circle is shown.


Radicals/353591: -1>-6
1 solutions

Answer 252645 by Alan3354(30993) About Me  on 2010-10-08 10:02:05 (Show Source):
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Yes, -1 is greater than -6.


Miscellaneous_Word_Problems/353520: math209 word problem 9.2 128 radius of a sphere. The radius of a sphere is given by this formula r = (0.75V/pi)1/3 Where V is its volume Find the radius of a sphere tank that has a volume of 32pi/3
1 solutions

Answer 252643 by Alan3354(30993) About Me  on 2010-10-08 10:01:00 (Show Source):
You can put this solution on YOUR website!
r = (0.75V/pi)1/3 Where V is its volume Find the radius of a sphere tank that has a volume of 32pi/3
-------------
Vol+=+4%2Api%2Ar%5E3%2F3+=+32pi%2F3
32+=+4r%5E3
r%5E3+=+8
r = 2
------
How is that a "word problem?"
And if it is, why do you have to tell us that?


Square-cubic-other-roots/353475: how to get (1+5t^2) out of the square root simplfying it !!!
1 solutions

Answer 252562 by Alan3354(30993) About Me  on 2010-10-07 23:00:13 (Show Source):
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If it's sqrt%281%2B5t%5E2%29 it can't be simplified.


Average/353447: The sum of an even integer and two times the next consecutive even integer is 82. find the two consecutive even integers.
1 solutions

Answer 252560 by Alan3354(30993) About Me  on 2010-10-07 22:12:28 (Show Source):
You can put this solution on YOUR website!
n + 2(n+2) = 82
You can finsh it.


Equations/353360: For x, y and z what does this equation equal:
2x-3y+z=1
x+y-z=-4
3x-2y+2z=3
1 solutions

Answer 252558 by Alan3354(30993) About Me  on 2010-10-07 22:10:28 (Show Source):
You can put this solution on YOUR website!
Which equation? "What does this equation equal" is not a reasonable question, anyway.


Reduction-of-unit-multipliers/353460: Convert 5 hours to minutes

1 solutions

Answer 252551 by Alan3354(30993) About Me  on 2010-10-07 21:46:07 (Show Source):
You can put this solution on YOUR website!
300 minutes
Why don't you know that?


Exponents/353413: Hi,
Can you help me solve this.
Show all intermediate steps of your work for this problem.
Explain which term has the largest value:
you help me solve this.
2^9/16,
2^8/15
or 2^17/32
1 solutions

Answer 252550 by Alan3354(30993) About Me  on 2010-10-07 21:45:04 (Show Source):
You can put this solution on YOUR website!
2^9/16
Is the exponent 9? or 9/16 ?
2^8/15
or 2^17/32


Evaluation_Word_Problems/353445: Use the digits 2 through 7 (only once). Make the smallest answer you can. The smallest answer is less than 50.
1 solutions

Answer 252549 by Alan3354(30993) About Me  on 2010-10-07 21:42:16 (Show Source):
You can put this solution on YOUR website!
234/765 =~ 0.306, a lot less than 50