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# Recent problems solved by 'Alan3354'

Alan3354 answered: 31517 problems
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 Polynomials-and-rational-expressions/269741: how do you solve 5x2squared+9x-181 solutions Answer 197649 by Alan3354(31538)   on 2010-02-15 09:50:17 (Show Source): You can put this solution on YOUR website!You can't, it's not an equation. There's no equal sign.
 Square-cubic-other-roots/269735: How do I find a real or imaginary solution to w^2 = -225?1 solutions Answer 197648 by Alan3354(31538)   on 2010-02-15 09:49:09 (Show Source): You can put this solution on YOUR website! w = +/- 15i
 Rational-functions/269728: The formula t=2pie square root of L over 9.8 can be used to estimate the number of seconds t it takes a pendulum of lenth L meters to make one complete swing. Graph the equation on a graphing calculator. Then use the graph to estimate the values of t for pendulums of lengths 1.5 meters and 2.5 meters. 1 solutions Answer 197645 by Alan3354(31538)   on 2010-02-15 09:22:25 (Show Source): You can put this solution on YOUR website!The formula t=2pie square root of L over 9.8 can be used to estimate the number of seconds t it takes a pendulum of lenth L meters to make one complete swing. Graph the equation on a graphing calculator. Then use the graph to estimate the values of t for pendulums of lengths 1.5 meters and 2.5 meters. --------------- It's the Greek letter pi, not the dessert, pie. --------------- t in seconds, L in meters ----------------- t =~ 0.785 seconds ------------------
 Rational-functions/269731: Graph each function on the same graph y=square root of x-6 y=square root of x+8 y=2/3 square root of x y=3square root of x-2+51 solutions Answer 197642 by Alan3354(31538)   on 2010-02-15 09:06:41 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk.com
 Equations/269732: Sven can type 32 words per minute. How many words would he type in 1/3 hour?1 solutions Answer 197641 by Alan3354(31538)   on 2010-02-15 09:05:45 (Show Source): You can put this solution on YOUR website!Hint: 1/3 hour = 20 minutes
 Graphs/269715: Draw a graph of the following: f(x)= {x^2+3x+2/x+1, for x≠-1 {7, for x=-11 solutions Answer 197639 by Alan3354(31538)   on 2010-02-15 08:57:15 (Show Source): You can put this solution on YOUR website!dl the FREE software from http://www.padowan.dk.com
 Coordinate-system/269719: what is the standard form of m=-1/5 b=-5 1 solutions Answer 197638 by Alan3354(31538)   on 2010-02-15 08:51:12 (Show Source): You can put this solution on YOUR website!what is the standard form of m=-1/5 b=-5 ------------------ y = -x/5 - 5 is slope-intercept form x + 5y = -25 is standard form
 Probability-and-statistics/269723: If ther are 5 kids and b=boy and g=girl, i know therre are 32 probabilities but I can't figure them out. What are they?1 solutions Answer 197637 by Alan3354(31538)   on 2010-02-15 08:48:06 (Show Source): You can put this solution on YOUR website!There are 32 possible combinations of 5 objects, each a 1 or 2 chance. What do you want to figure out?
 Length-and-distance/269609: In navigational terms, a bearing is defined as the number of degrees a direction is from due north clockwise. If a plane flying 120 mph has flown 1 hour at a bearing of 32°, how far has it flown in a horizontal direction?1 solutions Answer 197589 by Alan3354(31538)   on 2010-02-14 20:04:27 (Show Source): You can put this solution on YOUR website!Horizontal is a bearing of 090º = due east The angle with the horizontal is 90 - 32 = 58º Horizontal distance = 120*cos(58) =~ 63.59 miles ---------------- The terminology used is not good. Plane flight that is not vertical (changing in altitude) is horizontal, regardless of heading.
 Mixture_Word_Problems/269614: a chemist wants to make 50ml of a 16% acid solution by mixing a 13% acid solution and an 18% acid solution. how many ml of each solution should the chemist use? i set up the equation as followed but i dont know if it is correct .16(20)= .13x +.18x, then i got 3.2=.05x then i divided and got 64 ml x=64ml mvprincess_87@yahoo.com1 solutions Answer 197587 by Alan3354(31538)   on 2010-02-14 20:00:25 (Show Source): You can put this solution on YOUR website!a chemist wants to make 50ml of a 16% acid solution by mixing a 13% acid solution and an 18% acid solution. how many ml of each solution should the chemist use? i set up the equation as followed but i dont know if it is correct .16(20)= .13x +.18x, then i got 3.2=.05x then i divided and got 64 ml x=64ml ---------------- 64 is more than 50 ------------------ .16*50 = .13*x + .18*(50-x) 800 = 13x + 900 - 18x -100 = -5x x = 20 ml of 13% 30 ml of 18%
 Linear-systems/269393: Biking into the wind on a flat path, a bicyclist takes 5 hours to travel 30 miles. The return bike takes 3 hours. The wind speed remains constant during the trip. a. Find the bicyclist's average speed for each leg of the trip. b. Write a system of linear equations that represent the situation. c. What is the bicyclist's average speed in still air? What is the speed of the wind?1 solutions Answer 197583 by Alan3354(31538)   on 2010-02-14 19:55:56 (Show Source): You can put this solution on YOUR website!What connection is there between wind speed and bicycle speed? It's not possible to calculate wind speed from this info.
 Graphs/269568: 3x=-y+31 solutions Answer 197553 by Alan3354(31538)   on 2010-02-14 17:50:07 (Show Source): You can put this solution on YOUR website!Thx for sharing. Do you have a question?
 Equations/269564: (6/y+4)+1=(5/2y+8) I thought that the next step would look like: 6(2y+8)+(y+4)(2y+8)=5(y+4) but the answer in the back of the book does not correspond with this once I finish solving it. The final answer should be -15/2.1 solutions Answer 197549 by Alan3354(31538)   on 2010-02-14 17:20:51 (Show Source): You can put this solution on YOUR website!6/y+4)+1=(5/2y+8) I thought that the next step would look like: 6(2y+8)+(y+4)(2y+8)=5(y+4) but the answer in the back of the book does not correspond with this once I finish solving it. The final answer should be -15/2. ---------------- The DEN of the right side is 2x the one on the left. ------------- 6/y+4)+1=(5/2y+8) Multiply all terms by the right side DEN 2y+8 12 + 2y+8 = 5 2y + 20 = 5 2y = -15 y = -15/2
 logarithm/269538: Express ln(x) in terms of log(x)1 solutions Answer 197546 by Alan3354(31538)   on 2010-02-14 16:25:05 (Show Source): You can put this solution on YOUR website!ln(x) = log(x)*log(e) =~ 2.30258*log(x) -------------------- If the base is smaller, the log is bigger. Use that to check.
 Percentage-and-ratio-word-problems/269525: A \$52 sweater is marked down 25%. What is the new price?1 solutions Answer 197545 by Alan3354(31538)   on 2010-02-14 16:22:06 (Show Source): You can put this solution on YOUR website!\$39
Equations/269540: Solve,
x^2+18x-4=0
1 solutions

Answer 197544 by Alan3354(31538)   on 2010-02-14 16:20:21 (Show Source):
You can put this solution on YOUR website!
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=340 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.219544457292887, -18.2195444572929. Here's your graph:

 Rectangles/269523: I have a rectangle with four un known angles and one measure of 106 degrees. What are the measures of the other four angles?1 solutions Answer 197534 by Alan3354(31538)   on 2010-02-14 15:53:19 (Show Source): You can put this solution on YOUR website!There's no way to know, unless you mean the sum of the other 4. If so, the sum of the angles of a polygon with 5 sides and 5 angles is 540º The other 4 would add to 434º
 Linear-equations/269490: ok im doing solving linear systems by graphs and tables the question is: 5x+3y=6 x-4y=91 solutions Answer 197528 by Alan3354(31538)   on 2010-02-14 15:34:33 (Show Source): You can put this solution on YOUR website!So what's your plan? And, what is the question? I don't see one.
 Miscellaneous_Word_Problems/269492: If an object is thrown upward with an initial velocity of 96 ft/sec, its height after t sec is given by h = 96t - 16t2. Find the number of seconds before the object hits the ground.1 solutions Answer 197521 by Alan3354(31538)   on 2010-02-14 15:13:38 (Show Source): You can put this solution on YOUR website!It impacts when h = 0 96t - 16t^2 = 0
 Geometry_Word_Problems/269380: The measure of the angles of a triangle are three consecutive even integers. Find the measure of each angle.1 solutions Answer 197520 by Alan3354(31538)   on 2010-02-14 15:12:30 (Show Source): You can put this solution on YOUR website!The 3 angles add to 180. 180/3 = 60, the middle number. --> 58, 60, 62
 test/269433: What is the length of an aluminum rod at 65°C if its length at 15°C is 1.2 meters? A. 0.001386 meter B. 0.00180 meter C. 1.201386 meters D. 1.214855 meters 1 solutions Answer 197469 by Alan3354(31538)   on 2010-02-14 12:20:26 (Show Source): You can put this solution on YOUR website!You'll have to supply the coefficient of expansion.
 Rational-functions/269440: how do you write 5 2/3 in radical notation?1 solutions Answer 197466 by Alan3354(31538)   on 2010-02-14 12:15:11 (Show Source): You can put this solution on YOUR website!Is it 5 and 2/3 ? There's no radical involved.
 test/269432: A quantity of gas has a volume of 0.20 cubic meter and an absolute temperature of 333 degrees kelvin. When the temperature of the gas is raised to 533 degrees kelvin, what is the new volume of the gas? (Assume that there's no change in pressure.) A. 0.0006 m3 B. 0.2146 m3 C. 0.2333 m3 D. 0.3198 m3 1 solutions Answer 197465 by Alan3354(31538)   on 2010-02-14 12:14:22 (Show Source): You can put this solution on YOUR website!PV = nRT If only V and T vary: V = kT 0.2 = k*333 k = 0.2/333 V at 533 = k*533 V = 0.2*(533/333) =~ 0.3201 cubic meters
 test/269436: A wave with a period of 0.008 second has a frequency of A. 12.5 Hz. B. 80 Hz. C. 125 Hz. D. 800 Hz. 1 solutions Answer 197463 by Alan3354(31538)   on 2010-02-14 12:10:40 (Show Source):
 test/269438: If a wave hits a smooth surface at an angle of incidence of 40 degrees, the angle of reflection is A. 0 degrees. B. 40 degrees. C. 80 degrees. D. 90 degrees 1 solutions Answer 197462 by Alan3354(31538)   on 2010-02-14 12:10:05 (Show Source):
 test/269379: Find y' y= 2√x- 1 /2√x1 solutions Answer 197439 by Alan3354(31538)   on 2010-02-14 09:47:31 (Show Source): You can put this solution on YOUR website!Is it ? or ? or something else?
 Equations/269364: A number consist of two digit whose sum is 5. When the digits are reversed, tne number becomes greater by 9.Find the number:1 solutions Answer 197434 by Alan3354(31538)   on 2010-02-14 09:01:15 (Show Source): You can put this solution on YOUR website!A number consist of two digit whose sum is 5. When the digits are reversed, tne number becomes greater by 9.Find the number: -------------- It has to be 14 or 23 It's 23 -------------- The difference when you reverse digits is always a multiple of 9. 1*9 2*9 3*9 4*9 etc The multiplier of 9 is the difference between the digits. eg, for 37, the difference is 4, so 4*9 will be the change when the digits are reversed. ------------- For your problem, the multiplier of 9 is 1, so the difference between the digits is 1. That makes the problem simpler: --------------------------------- The sum of the digits is 5 The difference of the digits is 1 u + t = 5 u - t = 1 ------------ Add 2u = 6 u = 3 t = 2 --> 23 ------------------- The long way: 10t + u = 10u + t - 9 t + u = 5 ---------- 9t - 9u = -9 t - u = -1 t + u = 5 2t = 4 t = 2 u = 3 --> 23
 Polynomials-and-rational-expressions/269372: Hello all. I am to simplify the following polynomial using long division. The book says that the answer is: I do not know how the book came to that conclusion? Can someone help please? Thanks1 solutions Answer 197433 by Alan3354(31538)   on 2010-02-14 08:55:08 (Show Source): You can put this solution on YOUR website!I am to simplify the following polynomial using long division. --------------- = = = = = =
 Expressions-with-variables/269296: If Z=1/2 what is the greatest value of the expression -(z^2z^-4)^-3?1 solutions Answer 197411 by Alan3354(31538)   on 2010-02-13 22:23:37 (Show Source): You can put this solution on YOUR website!If z = 1/2, it's = -1/64 ---------- What does "greatest value" mean? It's -1/64, the only value when z = 1/2.
 Square-cubic-other-roots/269303: what is the answer to this problem: 4 times the square root of 12 - 7 times the square root of 58 plus the square root of 42 - 2 times the square root of 211 solutions Answer 197399 by Alan3354(31538)   on 2010-02-13 21:28:22 (Show Source): You can put this solution on YOUR website! The 1st term can be "simplified" to 8sqrt(3), but that's all.
 Equations/269304: (^5) (-3^5+5)1 solutions Answer 197398 by Alan3354(31538)   on 2010-02-13 21:25:14 (Show Source): You can put this solution on YOUR website!What does the 1st term mean? ^5 ?