New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'Fombitz'
Fombitz answered: 13805 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569 , 12570..12599 , 12600..12629 , 12630..12659 , 12660..12689 , 12690..12719 , 12720..12749 , 12750..12779 , 12780..12809 , 12810..12839 , 12840..12869 , 12870..12899 , 12900..12929 , 12930..12959 , 12960..12989 , 12990..13019 , 13020..13049 , 13050..13079 , 13080..13109 , 13110..13139 , 13140..13169 , 13170..13199 , 13200..13229 , 13230..13259 , 13260..13289 , 13290..13319 , 13320..13349 , 13350..13379 , 13380..13409 , 13410..13439 , 13440..13469 , 13470..13499 , 13500..13529 , 13530..13559 , 13560..13589 , 13590..13619 , 13620..13649 , 13650..13679 , 13680..13709 , 13710..13739 , 13740..13769 , 13770..13799 , 13800..13829, >>Next
Mixture_Word_Problems/313284: 62(200
Solution A is 80% Alcohol and Solution B is 30% Alcohol. How many Liters of each Solutions should be mixed in order to make 200 liters of a Solution that is 62% Alcohol ? 1 solutions
Answer 224027 by Fombitz(13828) on 2010-06-10 23:01:14 (Show Source):
|
Rectangles/313087: The perimeter of a rectangle is 90cm, its width is half its length. What would the equation be to solve this? I think it is 2L+2(1/2L)=90 1 solutions
Answer 223940 by Fombitz(13828) on 2010-06-10 16:49:14 (Show Source):
|
Quadratic_Equations/313133: how do you get the x intercepts by evaluating the function in order to get other points to graph the function>??????
this is what I have so far:
f(x) =2x^2 +2
=2(x^2 +1) +2
f(x) = 2(x^2+1+.5-.5)+2
=2(x+2+1)+3(.5)+2
=2(x+3)^2 + 3.5
am i on the right track and if so what next in order to finish ?? 1 solutions
Answer 223937 by Fombitz(13828) on 2010-06-10 16:43:34 (Show Source):
You can put this solution on YOUR website!No, not on the right track.
To get x-intercepts, set f(x)=y=0 and solve for x.

Well there are no x such that when you square them and add 2 will give you zero. There are no x-intercepts for this parabola.
It never crosses the x-axis.
.
.
.
To get the y-intercept, set x=0 and solve for y.

.
.
.
You can find the axis of symmetry and vertex by completing the square.

Actually, it's already in vertex form,

So the vertex is at (0,2) and it opens upwards.
.
.
.
To get other points, just pick an x and calculate y.
 ,
 , 
.
.
.
|
logarithm/313124: I am trying to calculate the value of x= log 82/log 9 -3. What do I put in the calculator? 1 solutions
Answer 223934 by Fombitz(13828) on 2010-06-10 16:37:52 (Show Source):
You can put this solution on YOUR website!Not sure what brand you use, if it's HP, it's different.
82
log(82)
Then divide that(/) by
9
log(9)
Then subtract that(-) by
3
=
Answer(-0.9944)
|
Graphs/313119: One endpoint P (1, -3) and the midpoint M (-7, 7) of line segment PQ are given. Find the coordinates of the other endpoint, Q.
A) Q (9, -23)
B) Q (-13, 15
C) Q (-15, 17)
Please Help...
Thanks,
Stephanie Jackins 1 solutions
Answer 223930 by Fombitz(13828) on 2010-06-10 16:31:44 (Show Source):
You can put this solution on YOUR website!The distance from the midpoint to P is the same as the distance from the midpoint to Q.
x:P to M, 
y:P to M, 
.
.
.
x:M to Q, 
y:M to Q, 
.
.
.
Q=(  ,  )
.
.
.
C) is the correct answer
|
Radicals/313178: is this relationship correct? why or why not?
√x+y = √x + √y 1 solutions
Answer 223927 by Fombitz(13828) on 2010-06-10 16:26:36 (Show Source):
You can put this solution on YOUR website!Let's check. Let  .

No, that's not true.
.
.
.

Square both sides.

So the equation above only holds for certain values of x and y.
It only holds when  ,  , or 
Now you see why.
|
Quadratic_Equations/313163: I'm stumped.
Given an array of known X and Y values, and a list of *new* X values, how can I solve for what the new Y value will be ?
A bit more detail: In Excel, I plotted these known X and Y values by means of a XY Scatter Chart, then asked it to create me a Trend Line, showing me the formula. The formula, for this data, is: y = 14.132x² - 63.03x + 79.647. I need to know how to actually *arrive* at that formula by a more manual means.
Thanks! :) 1 solutions
Answer 223913 by Fombitz(13828) on 2010-06-10 15:53:39 (Show Source):
You can put this solution on YOUR website!Check out the link below for the particulars.
You can do this all within an EXCEL spreadsheet.
You're trying to fit  to the given  sets of data (  ,  ).
.
.
.
You need to create a matrix of values.
[X]= 
where

.
.
.
Then create another matrix of values,
[Y]= 
where

Then you have the coefficients a0,a1, and a2.
[a]= 
.
.
.
The matrix equation you need to solve is,
[X][a]=[Y]
[a]=[X]inv[Y]
So find the inverse of [X] and matrix multiply by [Y].
That will provide you the coefficients of the least square fit quadratic, [a].
.
.
.
http://mathworld.wolfram.com/LeastSquaresFittingPolynomial.html
|
Quadratic_Equations/313085: Find the vertex of the parabola represented by this equation:

1 solutions
Answer 223870 by Fombitz(13828) on 2010-06-10 11:26:17 (Show Source):
You can put this solution on YOUR website!You did get the value correct for  .
But that point is not the vertex.
To get to vertex form, complete the square.

THe equation is now in vertex form,

where (h,k) is the vertex.
For your equation, the vertex is (4,-4).
Here's a graph to verify.
|
Human-and-algebraic-language/313035: Soybea meal is 12% protein, cornmeal is 6 % protein. How many pounds of each should be mixed in order to get a 240lb mixture that is 8%? 1 solutions
Answer 223863 by Fombitz(13828) on 2010-06-10 08:04:31 (Show Source):
You can put this solution on YOUR website!Soybea meal is 12% protein, cornmeal is 6 % protein. How many pounds of each should be mixed in order to get a 240lb mixture that is 8%?
Let S be the amount of soybeans, C the amount of cornmeal.
1. 
2. 
Multiply eq. 1 by (-6) and add the equations together.

Then from eq. 1,

80 lbs of soybeans, 160 lbs of cornmeal
|
Surface-area/312998: A tin is a right circular cylinder with a diameter of 4 meters and a height of 6 meters. What is the surface area of this tin, in terms of pi? 1 solutions
Answer 223829 by Fombitz(13828) on 2010-06-09 20:53:31 (Show Source):
|
Circles/312861: find x. two circles not touching, with a tangent seperating them, the tangent is seperated into 2 equal parts by the circle. two secants going through the seperate circles. Top secant exterior is x-1. bottom secant exterior is 2x. both interior parts are 6. 1 solutions
Answer 223826 by Fombitz(13828) on 2010-06-09 20:47:48 (Show Source):
|
|