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
Probability-and-statistics/329423: The probability that a cruise missile hits target on any particular mission is .80. Four cruise missiles are sent after the same target. What is the probability:
A. They all hit the target?
B. None hit the target?
C. At least one hits the target?
1 solutions
Answer 236124 by Fombitz(13828) on 2010-08-06 10:58:15 (Show Source):
You can put this solution on YOUR website!A) 
.
.
B) 
.
.
C)"At least one hits the target" is the same as saying "not all missed".
P(all missed)+P(not all missed)= 
P(not all missed)=  -P(all missed)
P(not all missed)= 
P(at least one)=
|
Probability-and-statistics/329228: How do you formulate a numerical hypothesis from this statement?....Sleep deprivation has negative physical and mental affects on the body. 1 solutions
Answer 236121 by Fombitz(13828) on 2010-08-06 10:53:52 (Show Source):
You can put this solution on YOUR website!You would have to generate a hypothesis using some study that you propose.
As an example, patients who have less than 4 hours of sleep per night performed significantly worse on the 10 question quiz and obstacle course than those that had more than 4 hours of sleep per night.
In other words, define what you mean by sleep deprivation and then describe how you'll measure what "negative physical and mental affects on the body"
|
Miscellaneous_Word_Problems/329421: A plane travels at 120 mph in still air. It is headed due south in a wind of 30 mph from the northeast. What is the resultant velocity of the plane? Find the magnitude and the drift angle. The drift angle is the angle between the intended line of flight and the true line of flight. 1 solutions
Answer 236120 by Fombitz(13828) on 2010-08-06 10:49:57 (Show Source):
You can put this solution on YOUR website!Let's define a coordinate system where East is positive  , North is positive  .
Without wind, the plane would travel with velocity (  ,  ).
From the northeast to the southwest direction is  degrees if the positive x axis is  degrees.
The wind velocity is (  ,  )=(  ,  )
So the resultant velocity is (  ,  )=(  ,  ).
The magnitude of the resultant is
 mph
The tangent of the angle of the resultant is,

so then,
 degrees
Since the plane should be traveling at due South (  degrees), the drift angle is
 degrees West of South
|
Graphs/329419: Good Morning,
How do you graph and label equations. This is concerning slope, and y=mx+b. I have Math packets that i can reference to but they dont teach how to label x and y in an equation(based on y=mx+b). Tahnk you 1 solutions
Answer 236118 by Fombitz(13828) on 2010-08-06 10:39:17 (Show Source):
You can put this solution on YOUR website!The x-axis is horizontal.
The y-axis is vertical.
Ordered pairs are presented in (x,y) format.
Point (3,2) is here.

Lines can be presented in slope intercept form,  where  is the slope and  is the y-intercept.
The y-intercept is where the line crosses the y-axis.
As an example, here is the graph of  which has a y-intercept of (0,1),
.
.
.

.
.
.
You can graph an equation given the slope-intercept form in the following way.
First plot the intercept, (0,b).
Then use the slope to determine another point on the line.
The slope describes the change in y divided by the change in x for each point on the line.
As an example, let's graph 
Plot the point (0,-4)
.
.
.

.
.
.
Next use the slope.
THe slope of the equation is  which means that for each 1 unit change in x, the change in y is 3 units since  .
So then start at the y-intercept (0,-4) and determine another point.
x: 
y: 
Another point of the line would be (1,-1).
You can double check by finding the slope using the two points,

So then plot the point (1,-1).
.
.
.

.
.
.
A straight line only needs two points to define it.
Draw the straight line that includes the two points.
.
.
.

.
.
.
So now you have the graph of  .
|
Surface-area/329415: a box is 12 inches in width,16 inches in length, and 6 inches in height.how many square inches of paper would be required to cover all sides 1 solutions
Answer 236113 by Fombitz(13828) on 2010-08-06 10:15:28 (Show Source):
|
Radicals/329267: A pizzeria serves 2 types of dough (wheat and white), 3 kinds of sauces (chunky tomato, marinara, and white), 2 kinds of cheeses (provolone and mozzarella). If a pizza uses one type from each category, how many different kinds of pizzas can the pizza man make? 1 solutions
Answer 236109 by Fombitz(13828) on 2010-08-06 10:05:07 (Show Source):
|
Miscellaneous_Word_Problems/329411: Noah is trying to qualify for a race. A driver needs to complete 8 laps of a seven-mile track at an average speed of 105.66 mph to qualify. Noah has already completed the first three laps. His average speed so far is ninety-two mph. What must his average speed be for the rest of the race to qualify?
Any help with this will be greatly appreciated
Thanks!!! 1 solutions
Answer 236107 by Fombitz(13828) on 2010-08-06 10:02:57 (Show Source):
You can put this solution on YOUR website!Let A-H be the speed for each of his qualifying laps.
For the first 3 laps,

.
.
.
The average for all 8 laps,

.

.

.
.
So then the average for the last 5 laps must be,
 mph
|
Quadratic_Equations/329416: A carpenter is building a rectangle room with a fixed perimeter of 356 ft. What dimensions would yield the maximum area?
What is the maximum area? 1 solutions
Answer 236106 by Fombitz(13828) on 2010-08-06 09:57:34 (Show Source):
You can put this solution on YOUR website!THe perimeter of a rectangle is,

The area of a rectangle is,

From the perimeter equation,

Substitute into the area equation,

Now the area is a function of one variable.
To find the maximum, take the derivative wrt W and set it equal to zero.

Then from above,

The maximum area for a given perimeter is obtained using a square.
 sq.ft.
|
Rational-functions/329336: can u help me solve the problem..
The directions are : graph each of the following
y=4x-4 1 solutions
Answer 236103 by Fombitz(13828) on 2010-08-06 09:50:39 (Show Source):
You can put this solution on YOUR website!
Plot the intercept, (0,-4).
.
.
.

.
.
.
To find another point, use the slope.
Slope is change in y over change in x.
So for each  change in  , there is a  unit change in  since 
Start at the intercept to find another point.
x: 
y: 
(1,0) is another point on the line.
Plot it and connect the two points with a line.
.
.
.
|
Probability-and-statistics/329413: An urn contains 8 brown marbles and 11 green marbles. Two marbles are drawn from the urn without replacement. What is the probability of drawing a green marble on the first draw and a brown marble on the second draw? 1 solutions
Answer 236101 by Fombitz(13828) on 2010-08-06 09:45:54 (Show Source):
|
test/329294: Standard from for the equation of a cricle with center (h,k) and radius r
*find the standard form of the equation of a cirlce with center (3,-2) and solution point (-1,1) 1 solutions
Answer 236093 by Fombitz(13828) on 2010-08-06 09:30:48 (Show Source):
You can put this solution on YOUR website!The general equation for a circle centered at (h,k) with a radius R is:

Use the center and point to find the radius,

.
.
.

.
.
.

Not sure which form you wanted so there's both of them.
|
Square-cubic-other-roots/329290: Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions:
10z^2-z+7-0 1 solutions
Answer 236087 by Fombitz(13828) on 2010-08-06 09:24:08 (Show Source):
You can put this solution on YOUR website!

Since the discriminant is negative, the roots are complex.
.
.
.
Graphical verification, the curve never crosses the x-axis, hence complex roots.
.
.
.
|
|