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# Recent problems solved by 'Alan3354'

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 Distributive-associative-commutative-properties/458433: Factor the expression: (x-1)^3+1 This is as far as I got: (x-1) (x-1) (x-1)+1 Then I tried to factor by grouping the four terms x-1(1) 1(x-1) I'm lost.1 solutions Answer 314523 by Alan3354(30955)   on 2011-06-07 11:23:19 (Show Source): You can put this solution on YOUR website!Factor the expression: (x-1)^3+1 --------- It's the sum of 2 cubes. Sub y for x-1 ------- then sub x-1 for y = =
 absolute-value/458461: When solving this /2x+4/ < 10 I got x<3 or x<-7 what am I doing wrong? It is being marked incorrect 1 solutions Answer 314521 by Alan3354(30955)   on 2011-06-07 11:11:17 (Show Source): You can put this solution on YOUR website!|2x+4| < 10 Case 1: 2x+4 < 10 2x < 6 x < 3 ------ Case 2: -2x-4 < 10 -2x < 14 x > -7 You didn't change to > when you divided by -1
 expressions/458356: ∫a^2 dx (given log 10^2 = 0.3010)1 solutions Answer 314485 by Alan3354(30955)   on 2011-06-07 08:07:53 (Show Source): You can put this solution on YOUR website!log(2) = 0.3010 ?? Is a a constant? ----------- ∫a^2 dx = x*a^2 + C I don't see the relevance of log(2), and you don't need to tell us what log(2) is.
 Pythagorean-theorem/458412: sir please help me to solve this question write a pythagoren triplet whose smallest member is 8.1 solutions Answer 314481 by Alan3354(30955)   on 2011-06-07 08:01:27 (Show Source): You can put this solution on YOUR website!8, 15, 17 ------------- 8^2 = 64 64/2 = 32 32 = 15 + 17
 Probability-and-statistics/458382: In a city of 10,000, 50% are republicans and 50% are democrats. if two voters were selected randomly, what is the probability that both of them are democrats?1 solutions Answer 314478 by Alan3354(30955)   on 2011-06-07 07:53:12 (Show Source): You can put this solution on YOUR website!(5000/10000)*(4999/9999) = 4999/19998
 logarithm/458376: Confused about this one. I got to the part where it's in a quadratic equation and I can factor, but I'm having trouble factoring it. Don't know if this is right. Problem is I worked it out to where I'm at is this correct?1 solutions Answer 314474 by Alan3354(30955)   on 2011-06-07 07:30:25 (Show Source): You can put this solution on YOUR website! log y+2 = -log 12 y+2 = 1/12 y = -23/12 -------------- Your quadratic has no equal sign.
 Exponential-and-logarithmic-functions/458317: z=x^(x^(y-1)) What does x equal? William Teichner1 solutions Answer 314399 by Alan3354(30955)   on 2011-06-06 21:39:07 (Show Source): You can put this solution on YOUR website!z=x^(x^(y-1)) What does x equal? ----------------- z=x^(x^(y-1)) -------------- There's an x on both sides of the equal sign, tho.
 Mixture_Word_Problems/458318: How much of a 80% alcohol solution must be mixed with 40 gallons of a 14% alcohol solution to obtain a solution of 70% alcohol?1 solutions Answer 314397 by Alan3354(30955)   on 2011-06-06 21:35:53 (Show Source): You can put this solution on YOUR website!How much of a 80% alcohol solution must be mixed with 40 gallons of a 14% alcohol solution to obtain a solution of 70% alcohol? ------------------ 0.8*x + 0.14*40 = 0.7*(x + 14) Solve for x
 Equations/458288: If a average female math class has a weight of 125 and a height of 5'5" but Kelly has a height of 5'0" how much does she weigh1 solutions Answer 314376 by Alan3354(30955)   on 2011-06-06 20:20:42 (Show Source): You can put this solution on YOUR website!If a average female math class has a weight of 125 and a height of 5'5" but Kelly has a height of 5'0" how much does she weigh --------------- Volume of a solid is a function of the cube of the linear dimensions. ---> 125*(60/65)^3 =~ 98.3 pounds -------------------
 test/458277: Hi in algebra 2 we are on the section quotients with radicals. I'm not sure how to rationalize the denominator. One problem is (3+radical5) (3-radical5)1 solutions Answer 314375 by Alan3354(30955)   on 2011-06-06 20:17:55 (Show Source):
 Rectangles/458284: find the length and width of a rectangle that has perimeter of 48 meters and a maximum area.1 solutions Answer 314374 by Alan3354(30955)   on 2011-06-06 20:16:49 (Show Source): You can put this solution on YOUR website!Max area of a rectangle with a specified perimeter is a square. s = 48/4 = 12 meters. Area = 144 sq meters
 Exponential-and-logarithmic-functions/458269: Solve the exponential equation. Check for extraneous solutions. Round the result to three decimal places if necessary. 3e^3-x=15 1 solutions Answer 314372 by Alan3354(30955)   on 2011-06-06 20:10:02 (Show Source): You can put this solution on YOUR website!3e^3-x=15 x = 3e^3 - 15 x =~ 45.257
 Miscellaneous_Word_Problems/458283: In triangle ACB a=230 ft b=110 ft angle C=34 degrees can you help me find side c?1 solutions Answer 314371 by Alan3354(30955)   on 2011-06-06 20:08:27 (Show Source): You can put this solution on YOUR website!Use the Cosine Law.
 Graphs/458289: ) In what year was approximately \$10.5 billion spent on home videos? 1 solutions Answer 314370 by Alan3354(30955)   on 2011-06-06 20:07:14 (Show Source): You can put this solution on YOUR website!I don't know. I don't care.
 Quadratic_Equations/458256: find the x-intercept and y-intercept: f(x)= -x^2 + 5x + 501 solutions Answer 314349 by Alan3354(30955)   on 2011-06-06 18:43:49 (Show Source): You can put this solution on YOUR website!The y-int is at x = 0 f(0) = 50 --> (0,50) --------------- f(x)= -x^2 + 5x + 50 = 0 You can factor it. (-x + 10)*(x + 5) = 0 x = -5, 10
 Quadratic_Equations/458252: find the vertex, line of symmetry , and maximum or minimum value of the quadratic function: f(x)= 2x^2 - 8x + 221 solutions Answer 314338 by Alan3354(30955)   on 2011-06-06 18:29:01 (Show Source): You can put this solution on YOUR website!The LOS is x = -b/2a x = 8/4 = 2 x = 2 is the LOS ----------------- The vertex is on the LOS f(2) = 8 - 16 + 22 = 14 Vertex at (2,14) --------- The vertex is the minimum
 Circles/458242: find the radius of the circle defined with these three points. (0,1),(8,1),(4,5)1 solutions Answer 314335 by Alan3354(30955)   on 2011-06-06 18:14:14 (Show Source): You can put this solution on YOUR website!2 points have the same y, (0,1) and (8,1). The 3rd point's x is 1/4 of the other 2, so the 1st 2 points are a diameter. That makes the center (4,1) and the radius 4. --> -----------------------
 Money_Word_Problems/458243: Your bill is \$70.00, and you want to leave a tip of 15% for the waiter. How much money should you pay?1 solutions Answer 314332 by Alan3354(30955)   on 2011-06-06 18:11:54 (Show Source): You can put this solution on YOUR website!\$70*(1 + 0.15)
 Sequences-and-series/458244: 5 over z+7= 4 over z-41 solutions Answer 314330 by Alan3354(30955)   on 2011-06-06 18:11:19 (Show Source): You can put this solution on YOUR website!duplicate
 Triangles/458117: Find the smallest angle of a triangle whose sides are 7, 8, and 9. (solution in radians) 1 solutions Answer 314326 by Alan3354(30955)   on 2011-06-06 17:47:01 (Show Source): You can put this solution on YOUR website!Find the smallest angle of a triangle whose sides are 7, 8, and 9. (solution in radians) ------------- The smallest angle is opposite the shortest side Use the Cosine Law. cos(A) = (64 + 81 - 49)/144 = 96/144 A =~ 0.84107 radians
 Human-and-algebraic-language/458163: the product of two consecutive even intergers is 2241 solutions Answer 314325 by Alan3354(30955)   on 2011-06-06 17:42:20 (Show Source): You can put this solution on YOUR website!I just did this one. 14*16 = 224
 Polynomials-and-rational-expressions/458183: Write a polynomial function with the given zeros. 1.X=1,2,3 2.X=-2,1,41 solutions Answer 314324 by Alan3354(30955)   on 2011-06-06 17:41:33 (Show Source): You can put this solution on YOUR website!Write a polynomial function with the given zeros. 1.X=1,2,3 f(x) = (x-1)*(x-2)*(x-3) You can multiply it out. --------------- 2.X=-2,1,4 f(x) = (x+2)*(x-1)*(x-4)
 expressions/458238: a=(a+b+c)/3 for c1 solutions Answer 314323 by Alan3354(30955)   on 2011-06-06 17:39:26 (Show Source): You can put this solution on YOUR website!a=(a+b+c)/3 for c ----------- 3a = a+b+c 2a = b+c c = 2a - b
 Angles/458235: whats the between complementary & supplementary angles1 solutions Answer 314322 by Alan3354(30955)   on 2011-06-06 17:38:11 (Show Source): You can put this solution on YOUR website!If you mean the difference, complemetary add to 90 degs supplementary add to 180 degs -------------
 Polynomials-and-rational-expressions/458224: How do describe how you get 15 times 25?1 solutions Answer 314321 by Alan3354(30955)   on 2011-06-06 17:37:10 (Show Source): You can put this solution on YOUR website!I think about it for 7 milliseconds, then I type it in
 Geometry_Word_Problems/458233: the are of a rectangle is 525 cm squared. find the dimensions of a rectangle if the ratio of the length to the width is 7:3.1 solutions Answer 314320 by Alan3354(30955)   on 2011-06-06 17:36:19 (Show Source): You can put this solution on YOUR website!7*3 = 21 525/21 = 25 --> 35 by 15
 Rate-of-work-word-problems/458236: If it takes 6 men 6 days to dig 6 holes, how long would it take 100 men to dig 50 holes?1 solutions Answer 314319 by Alan3354(30955)   on 2011-06-06 17:35:00 (Show Source): You can put this solution on YOUR website!6 men * 6 days = 36 man-days --> 1/6 man-day per hole 50 holes = 50/6 man-days (50/6) man-days/100 men = 1/12 day = 2 hours They might get in each other's way, tho, or waste time talking.
 Linear-systems/458237: How do you contain linear equations with constants in denominators in a problem? Can you give me an example please?1 solutions Answer 314318 by Alan3354(30955)   on 2011-06-06 17:32:40 (Show Source): You can put this solution on YOUR website!Contain? You provide the example.
 Equations/458231: Find the equation or inequality by clearing the fractions. 1. 1/3x-4<5/61 solutions Answer 314317 by Alan3354(30955)   on 2011-06-06 17:22:45 (Show Source): You can put this solution on YOUR website!1/3x-4<5/6 Multiply by 3 x - 12 < 5/2 Add 12 x < 29/2
 Human-and-algebraic-language/458201: the product of two consecutive intergers is 224 1 solutions Answer 314274 by Alan3354(30955)   on 2011-06-06 15:52:28 (Show Source): You can put this solution on YOUR website!sqrt(224) = about 15, the center --> 14*16 = 224 ------------ It's not possible for 2 consecutive integers to do that. It's 2 consecutive even integers ----------- PS Only 1 r in integer
 Rate-of-work-word-problems/458011: It takes a plane eight hours to fly 1280 miles with the wind. If it takes it 12 hours and 48 minutes (12.8 hours) to cover the same distance when flying against the wind, find the speed of the wind in miles per hour.1 solutions Answer 314174 by Alan3354(30955)   on 2011-06-06 10:15:07 (Show Source): You can put this solution on YOUR website!1280/8 = 160 mph 1280/12.8 = 100 mph The plane's airspeed is the average = (160 + 100)/2 = 130 mph The windspeed is the difference = 160 - 130 = 30 mph