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Alan3354 answered: 30973 problems
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Polynomials-and-rational-expressions/455250: Short Answer. Add the following: (-7.4x2 + 1.8x – 8.5) + (2x2 – 6x + 2.3)
1 solutions

Answer 312559 by Alan3354(30993) About Me  on 2011-05-29 14:52:57 (Show Source):
You can put this solution on YOUR website!
Add the like terms.
Use ^ for exponents.
(-7.4x^2 + 1.8x – 8.5) + (2x^2 – 6x + 2.3)
--> (-7.4 + 2)x^2
= -5.4x^2
----------
Do the others the same way. Add the x terms and the constants.


Functions/455255: 3x^3-27x-7x^2+63=0
Solve for x
1 solutions

Answer 312558 by Alan3354(30993) About Me  on 2011-05-29 14:48:48 (Show Source):
You can put this solution on YOUR website!
Start by looking for a zero that's a factor of 63, 1, 3, 7, plus and minus.
Once you find one zero, you can divide the polynomial and get a quadratic.
---
Or you can factor by grouping, even simpler.


Inequalities/455162: if an electronic firm finds that 4% of its resistors are defective how many resistors do they have to make to deliver 5000 resistors/?
1 solutions

Answer 312555 by Alan3354(30993) About Me  on 2011-05-29 14:00:57 (Show Source):
You can put this solution on YOUR website!
5000/0.96 = 5208.333 --> 5209


Volume/455240: The volume of a stick of butter is 5 cubic inches. If the length is 5 inches, what are the width and the height of this stick of butter if the bases are square?
1 solutions

Answer 312554 by Alan3354(30993) About Me  on 2011-05-29 13:59:09 (Show Source):
You can put this solution on YOUR website!
V = W*L*H
W = L = 1 inch


Equations/455202: How would I solve this?
x+1 4
____ = ____
6 3
1 solutions

Answer 312539 by Alan3354(30993) About Me  on 2011-05-29 11:06:32 (Show Source):
You can put this solution on YOUR website!
(x+1)/6 = 4/3
Multiply by 6
x+1 = 8


Travel_Word_Problems/455177: Please help me with the following word problem-two cars, starting at the same point, are driving in opposite directions of one another. After 6 km both turned left and drove for another 8 km. calculate the distance between the two cars. Please help me I will appreciate your help, Thanks!!
1 solutions

Answer 312517 by Alan3354(30993) About Me  on 2011-05-29 07:36:30 (Show Source):
You can put this solution on YOUR website!
two cars, starting at the same point, are driving in opposite directions of one another. After 6 km both turned left and drove for another 8 km. calculate the distance between the two cars.
-------------
The distance of each car from the starting point is
d+=+sqrt%286%5E2+%2B+8%5E2%29+=+10
--> 20 km


Miscellaneous_Word_Problems/455170: If at a certain instant it is 7 o'clock, what time is it 11,999,999,994 hours later?
1 solutions

Answer 312511 by Alan3354(30993) About Me  on 2011-05-29 07:21:41 (Show Source):
You can put this solution on YOUR website!
If at a certain instant it is 7 o'clock, what time is it 11,999,999,994 hours later?
---------------
11,999,999,994 hours = 500,000,000 days - 6 hours
--> 6 hours earlier = 1 o'clock
Unless it's affected by Daylight Savings Time


Reduction-of-unit-multipliers/455083: How many grains of rice are in 10 milliliters

1 solutions

Answer 312423 by Alan3354(30993) About Me  on 2011-05-28 17:50:18 (Show Source):
You can put this solution on YOUR website!
No way to calculate that.


Triangles/455084: • If the angles of a triangle are in the ratio of 2:3:5, what is the measure of the smallest angle?
1 solutions

Answer 312422 by Alan3354(30993) About Me  on 2011-05-28 17:49:06 (Show Source):
You can put this solution on YOUR website!
2x + 3x + 5x = 180
10x = 180
x = 18
smallest angle = 36 degrees


Travel_Word_Problems/455066: two cars leave from the same location, one heading North at 30mph and the other heading East at 40mph. How fast is the distance between them increasing when the cars have traveled 5 hours?
1 solutions

Answer 312421 by Alan3354(30993) About Me  on 2011-05-28 17:48:05 (Show Source):
You can put this solution on YOUR website!
The rate of change of the distance is constant.
r%5E2+=+30%5E2+%2B+40%5E2
r = 50 mph


logarithm/455078: Hi. My teacher gave me a packet to do for a test next wed and i was wondering if you could help me with a problem.
Solve give completely simplified answers in terms of natural logs.
3^x = 5^x-1
thanks for your help
1 solutions

Answer 312420 by Alan3354(30993) About Me  on 2011-05-28 17:38:25 (Show Source):
You can put this solution on YOUR website!
Solve give completely simplified answers in terms of natural logs.
3^x = 5^x-1
--------------
Assuming x-1 is the exponent of 5:
x*log(3) = (x-1)*log(5)
x*log(3) = x*log(5) - log(5)
x(log(3) - log(5)) = -log(5)
x = log(5)/(log(5) - log(3))
just calculator work from there
-----
Ooh, natural logs
x = ln(5)/(ln(5) - ln(3))


logarithm/455079: Hi. My teacher gave me a packet to do for a test next wed and i was wondering if you could help me with a problem.
Write each expression using common logs.
logBASE3(2x)
1 solutions

Answer 312419 by Alan3354(30993) About Me  on 2011-05-28 17:35:39 (Show Source):


Reduction-of-unit-multipliers/455081: What would the sq ft of 6 squared inches x 30 ads.

Thank you
Brandi Hardin
1 solutions

Answer 312418 by Alan3354(30993) About Me  on 2011-05-28 17:34:33 (Show Source):
You can put this solution on YOUR website!
6*30 = 180 sq inches
180/144 = 1.25 sq feet


Rectangles/455058: Two angles are supplementary.
One is 48* more than three times the other.
Find the measures of the angles.
1 solutions

Answer 312410 by Alan3354(30993) About Me  on 2011-05-28 16:06:22 (Show Source):
You can put this solution on YOUR website!
Is that 48 times more? Or 48 degrees more?


Rational-functions/455064: how to solve the rational equation (n+5)/(n+8)=1+(6/n+1)
1 solutions

Answer 312408 by Alan3354(30993) About Me  on 2011-05-28 15:56:45 (Show Source):
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(n+5)/(n+8)=1+(6/n+1)
I'll assume you mean (n+5)/(n+8) = 1+ (6/(n+1))
(n+5)/(n+8) = n=1+ 6/(n+1) = (n+7)/(n+1)
(n+5)/(n+8) = (n+7)/(n+1)
Cross multiply
(n+5)(n+1) = (n+8)(n+7)
n%5E2+%2B+6n+%2B+5+=+n%5E2+%2B+15n+%2B+56
6n + 5 = 15n + 56
-9n = 51
n = -51/9 = -17/3


Travel_Word_Problems/455062: How long would it take to travel 37 miles going 25 mph
1 solutions

Answer 312407 by Alan3354(30993) About Me  on 2011-05-28 15:53:23 (Show Source):
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Hint: in 1 hour, you go 25 miles.
In 2 hours, you go 50 miles.


Exponents/455063: write an equivalent expression using radical notation
(a^4b^4)^1/5
Thank you so much.
Gina
1 solutions

Answer 312406 by Alan3354(30993) About Me  on 2011-05-28 15:51:30 (Show Source):


Parallelograms/455009: Draw the parallelogram with vertics A(1,3), B(5,2), C(3,6) and D(7,6) on a coordinate plan. Find the area of the parallelogram
1 solutions

Answer 312405 by Alan3354(30993) About Me  on 2011-05-28 15:50:15 (Show Source):
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That's not a parallelogram.


Linear-equations/455046: what is the slope of the line that passes through each pair of points?
(2,-1) and (6,3)
what is the slope of a line parallell to the line that passestrough the following points?
(4,0) and (3.8, 2)
1 solutions

Answer 312402 by Alan3354(30993) About Me  on 2011-05-28 15:35:41 (Show Source):
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what is the slope of the line that passes through each pair of points?
(2,-1) and (6,3)
Slope m = diffy/diffx
m = 4/4 = 1
----------------
what is the slope of a line parallel to the line that passestrough the following points?
(4,0) and (3.8,2)
It's the same as the slope of the line thru the points.
Find it the same way as the one above.


Evaluation_Word_Problems/455045: help please,
Solve by completing the square
2^x +2x=14
1 solutions

Answer 312401 by Alan3354(30993) About Me  on 2011-05-28 15:29:36 (Show Source):
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2^x +2x=14
x%5E2+%2B+x+=+7
b/(2a) = 1/2
c = (1/2)^2 = 1/4
Add 1/4 to both sides
x%5E2+%2B+x+%2B+1%2F4+=+29%2F4
%28x+%2B+1%2F2%29%5E2+=+29%2F4
x+%2B+1%2F2+=+sqrt%2829%29%2F2
x+=+-1%2F2+%2B+sqrt%2829%29%2F2
x+=+-1%2F2+-+sqrt%2829%29%2F2


Graphs/455017: Graph the following equations (use points to help you graph)
y=-x+2
y=-5x-6
solution=(__,__)?
1 solutions

Answer 312396 by Alan3354(30993) About Me  on 2011-05-28 13:12:17 (Show Source):
You can put this solution on YOUR website!
y=-x+2
y=-5x-6
-----------
They're straight lines so you need 2 points.
y=-x+2
Pick 2 values of x and find y, any 2 values
x = 0, y = 2 (0,2)
x = 4, y = -2 (4,-2)
Plot the 2 points, draw a line thru them.
Do the same for the other eqn
The intersection is the solution of the system.
-----------------
dl the FREE graph software at
http:www.padowan.dk
Use INS and type -x + 2, then INS and -5x - 6
---------
The solution=(__,__) is not a big butt.


Equations/454933: write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b
(5,8); x+2y=3
I am not getting this for some reason can any one help? thank you so much.
1 solutions

Answer 312353 by Alan3354(30993) About Me  on 2011-05-28 07:11:20 (Show Source):
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write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b
(5,8); x+2y=3
---------------
The slope of lines parallel is the same, only the y-intercept is different.
Sub 5&8 for x & y:
5 + 2*8 = 21
x + 2y = 21 is the equation.
---------------------
y = (-1/2)x + 21/2 in slope-intercept form


Age_Word_Problems/454963: I need help on this question. I know the answer but i dont understand how to get to it...thanks if you could reply this
THE QUESTION IS:
When i was 14 my mother was 41, and she is now twice as old as am. how old am i?
the answer is 27 i know but how do u get to it...thanks, RACHEL

1 solutions

Answer 312351 by Alan3354(30993) About Me  on 2011-05-28 07:07:03 (Show Source):
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The age difference will always be 27.
For the mother to be 2x, it has to be 27 & 54.


Equations/454967: Hey i really need help with this maths problem
Heres the question:
For what values of x is the following undefined.
2x-7/4x^2-16
1 solutions

Answer 312349 by Alan3354(30993) About Me  on 2011-05-28 07:03:38 (Show Source):
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The values that make the denominator zero.


Linear-systems/454936: find the solution of system of equations seperate x and y
x-2y=-23
x-y=7
1 solutions

Answer 312348 by Alan3354(30993) About Me  on 2011-05-28 07:01:59 (Show Source):
You can put this solution on YOUR website!
x-2y=-23
x-y=7
------ Subtract
-y = -30
You can finish it.


Travel_Word_Problems/454939: A LEIBHERR t282b the world's largest dump trucks is hauling debris at a mining site .on its first trip it hauls away 360 tons of rubble .on its second trip it hauls away 300 tons of rubble .if it hauls an average of 350 tons of rubble for all three trips, how much rubble did it haul on its last trip?{A full 5-step solution is not required ,but do show your work}

1 solutions

Answer 312347 by Alan3354(30993) About Me  on 2011-05-28 07:00:07 (Show Source):
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Hint: 3 trips with an average of 350 per trip = a total of 1050 tons.


Problems-with-consecutive-odd-even-integers/454962: if the sum of two consecutive odd integer is 76 find the number
1 solutions

Answer 312346 by Alan3354(30993) About Me  on 2011-05-28 06:56:25 (Show Source):
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76/2 = 38, the center
--> 37 & 39


Probability-and-statistics/454961:
1 solutions

Answer 312345 by Alan3354(30993) About Me  on 2011-05-28 06:55:18 (Show Source):
You can put this solution on YOUR website!
I think it's 1 problem per post. That's more than 1.


Probability-and-statistics/454960:
1 solutions

Answer 312344 by Alan3354(30993) About Me  on 2011-05-28 06:54:41 (Show Source):
You can put this solution on YOUR website!
Show your efforts.


Probability-and-statistics/454959:
1 solutions

Answer 312343 by Alan3354(30993) About Me  on 2011-05-28 06:53:56 (Show Source):
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It's not likely anyone will do 20 problems.


logarithm/454968: 4+5e^-x = 0
all I can come up with is there is no solution or x = .223 I don't have a good feeling about either one, I'm just stumped on this one. I would appreciate any help I can get!
Thanks!!
1 solutions

Answer 312342 by Alan3354(30993) About Me  on 2011-05-28 06:52:20 (Show Source):
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4+5e^-x = 0
5e^-x = -4
e^-x = -4/5
No solution