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Recent problems solved by 'Alan3354'

Alan3354 answered: 31497 problems
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Quadratic_Equations/269829: please help me solve the equation: . 1 solutions Answer 197681 by Alan3354(31518)   on 2010-02-15 13:52:36 (Show Source): You can put this solution on YOUR website! s = +5i/3 s = -5i/3

Quadratic_Equations/269808: Give exact and approximate solutions (x + 4)^2 = 9 I am unsure of how to solve 1 solutions Answer 197680 by Alan3354(31518)   on 2010-02-15 13:42:44 (Show Source): You can put this solution on YOUR website! (x + 4)^2 = 9 Take the sqrt of both sides: x+4 = 3, x+4 = -3

Quadratic_Equations/269830: Please help me solve the equation: . 1 solutions Answer 197678 by Alan3354(31518)   on 2010-02-15 13:39:28 (Show Source): You can put this solution on YOUR website! Please help me solve the equation: . -------------- You can expand it, but there's quicker way: ((3f-1) + 5)*(3f-1) = 0 (3f+4)*(3f-1) = 0 f = -4/3 f = 1/3

Linear-systems/269789: x-3y+7z+w=11 2x+4y+6z-3w=-3 3x+2y+z+2w=19 4x+y-3z+w=22 Systems of linear equations in three variables 1 solutions Answer 197663 by Alan3354(31518)   on 2010-02-15 11:59:56 (Show Source): You can put this solution on YOUR website! x-3y+7z+w=11 2x+4y+6z-3w=-3 3x+2y+z+2w=19 4x+y-3z+w=22 ---------------- Looks like 4. Determinant = -535 w = 3 x = 5 y = -1 z = 0 ------- I made an Excel sheet to do these. Doing them manually is tedious and error-prone. There are sites that will solve up to a 10 by 10 that I've seen.

Numbers_Word_Problems/269776: the product of 5 and 3 more than twice a number is 85. What is the number ? I dont know what this means 1 solutions Answer 197659 by Alan3354(31518)   on 2010-02-15 11:18:03 (Show Source): You can put this solution on YOUR website! the product of 5 and 3 more than twice a number is 85. What is the number ? ----------------- n = the "some number" Twice a number + 3 = 2n+3 ----------------- 5 times 2n+3 = 85 5*(2n+3) = 85 n+3 = 17 2n = 14 n = 7

Polygons/269771: what is the internal and external angle of a regular 16 sided polygon? 1 solutions Answer 197657 by Alan3354(31518)   on 2010-02-15 11:01:08 (Show Source): You can put this solution on YOUR website! The easiest way to do these is to use the fact that EXTERIOR angles always total 360 degs, for all polygons. ----------------- 360/16 = 22.5 degs exterior 180 - 22.5 = 157.5 degs interior

Circles/269763: The radius of a sphere is measured to be 9 inches, while its true length is 807 inches. Find the percent of error in: a. the linear measure rounded to the nearest tenth B. the volume rounded to the nearest tenth 1 solutions Answer 197656 by Alan3354(31518)   on 2010-02-15 10:54:38 (Show Source): You can put this solution on YOUR website! What is "true length", or any length, of a sphere?

Equations/269761: Solve the equation for y 2x+10y=3 Trying to find the slope by solving the equation for y 1 solutions Answer 197655 by Alan3354(31518)   on 2010-02-15 10:34:30 (Show Source): You can put this solution on YOUR website! Solve the equation for y 2x+10y=3 Trying to find the slope by solving the equation for y -------------------- 2x + 10y = 3 10y = -2x + 3 y = (-1/5)x + 3/10 slope, m = -1/5

Travel_Word_Problems/269745: How long, in minutes would it take for a train to travel a distance of 50 kilometres, if its speed was 33 metres per second [120 kph] and how would you go about writing it on paper. 1 solutions Answer 197654 by Alan3354(31518)   on 2010-02-15 10:16:55 (Show Source): You can put this solution on YOUR website! 50 km = 50000 meters -------------- 33 m/sec = 33*60 = 1980 m/minute 50000 meters/1980 m/min =~ 25.25 minutes. ------------------- I don't know why the 120 kph is mentioned. To write it on paper, I'd use a pen or a pencil.

Parallelograms/269744: M slove for or y or both. taxi is a parallelogram 1 solutions Answer 197652 by Alan3354(31518)   on 2010-02-15 10:12:35 (Show Source): You can put this solution on YOUR website! What taxi?

Polynomials-and-rational-expressions/269741: how do you solve 5x2squared+9x-18 1 solutions Answer 197649 by Alan3354(31518)   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(31518)   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(31518)   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+5 1 solutions Answer 197642 by Alan3354(31518)   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(31518)   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=-1 1 solutions Answer 197639 by Alan3354(31518)   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(31518)   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(31518)   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(31518)   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.com 1 solutions Answer 197587 by Alan3354(31518)   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(31518)   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+3 1 solutions Answer 197553 by Alan3354(31518)   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(31518)   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(31518)   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(31518)   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(31518)   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(31518)   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=9 1 solutions Answer 197528 by Alan3354(31518)   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(31518)   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(31518)   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(31518)   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.