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# Recent problems solved by 'Alan3354'

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 Geometry_Word_Problems/710817: A square has an area of 25cm^2. By how much should each of it's sides be increased in order to double it's area?1 solutions Answer 437197 by Alan3354(30982)   on 2013-02-05 17:15:51 (Show Source): You can put this solution on YOUR website!A square has an area of 25cm^2. By how much should each of it's [sic] sides be increased in order to double it's [sic] area? ------------- The sides are 5 cm To double the area, the sides will be 5sqrt(2) cm =~ 7.07 cm Increase =2.07 cm ============= it's = it is
 Functions/710715: 4·(7^x) = 5.5(e^ −3x) 1 solutions Answer 437153 by Alan3354(30982)   on 2013-02-05 12:36:06 (Show Source): You can put this solution on YOUR website!4·(7^x) = 5.5(e^ −3x) --------- x =~ 0.0643873
 Functions/710617: what is the value of of the function h(6)? H(6) = 3x - 41 solutions Answer 437152 by Alan3354(30982)   on 2013-02-05 12:18:03 (Show Source): You can put this solution on YOUR website!what is the value of of the function h(6)? H(6) = 3x - 4 ------------ I don't think h(6) = 3x - 4 h(x) = 3x - 4 is more likely. A function of x usually has an x term, and if there's an x term it's probably a function of x. --------- h(x) = 3x - 4 For h(6), sub 6 for x h(6) = 3*6 - 4 h(6) = 14
 Volume/710673: determine the volume of the cylinder of diameter 6.0 cm and the length 13.5 cm1 solutions Answer 437149 by Alan3354(30982)   on 2013-02-05 11:48:24 (Show Source): You can put this solution on YOUR website!determine the volume of the cylinder of diameter 6.0 cm and the length 13.5 cm ------------
 Triangles/710679: If you have the ratio of a triangle to be 5:6:7, what are the measurements of each angle1 solutions Answer 437147 by Alan3354(30982)   on 2013-02-05 11:41:53 (Show Source): You can put this solution on YOUR website!If you have the ratio of a triangle to be 5:6:7, what are the measurements of each angle --------------- The angles are 5 times something, 6 times & 7 times the same thing. 5x + 6x + 7x = 180 18x = 180 x = 10 ---- 50 degs 60 degs 70 degs
 test/710683: Factor x2+6x-161 solutions Answer 437145 by Alan3354(30982)   on 2013-02-05 11:36:06 (Show Source): You can put this solution on YOUR website!duplicate
 test/710684: Factor x2+6x-161 solutions Answer 437143 by Alan3354(30982)   on 2013-02-05 11:35:40 (Show Source): You can put this solution on YOUR website!Factor x2+6x-16 --------------- Find a pair of factors of 16 that differ by 6
 Permutations/710523: I apologize in advance as I am no longer a student and don't mean to waste anyone's time but I am curious if one of the tutors would care to calculate the entropy of "or better yet" the number of permutations of a 16 digit password that uses 0 thru 9 and/or 26 letters. I would be curious to know the formula to be able to do the math myself for say 15 digits, 14 digits, 13 digits etc. to understand the entropy. Why? I just dropped some big bucks on an Apricorn 1 TB Padlock USB 3.0 Encrypted Hard Drive with PIN Access. Not doing espionage or anything like that just trying to figure a reasonable passcode. Thank You for your concideration, Jack 1 solutions Answer 437020 by Alan3354(30982)   on 2013-02-04 23:02:32 (Show Source): You can put this solution on YOUR website!calculate the entropy of "or better yet" the number of permutations of a 16 digit password that uses 0 thru 9 and/or 26 letters. I would be curious to know the formula to be able to do the math myself for say 15 digits, 14 digits, 13 digits etc. to understand the entropy. ------------------------ If it's not case sensitive, each of the 16 "digits" can be one of 36 characters. --> 36^16 =~ 7.95866E24 combinations. If you try 1000 combinations per second, it'll take 252,367,488,300,000,000,000,000 years to try them all. ----------------- For 15, 14, 13, etc, it's 36 to the power of the # of characters. ---------- If it's case sensitive, each character has 62 possibilities, so it's 62^n, n = # of characters.
 Percentage-and-ratio-word-problems/710519: I am having a really hard time on this problem. A farmer brings a 300 pound watermelon to market. Unbeknownst to the farmer, two months ago this village passed a ban on the purchase of watermelons, and so it just sits out all day in the sun without anybody buying it. During this rather hot day, some of the water in the watermelon evaporates, so that by the time she packs up her wares to go home, the water has dropped from comprising 99 percent of the total fruit down to constituting 98 percent. How much does her watermelon weigh now? (remember that the water in the watermelon evaporates, but the watermelon meat does not.)1 solutions Answer 437016 by Alan3354(30982)   on 2013-02-04 22:56:07 (Show Source): You can put this solution on YOUR website!A farmer brings a 300 pound watermelon to market. Unbeknownst to the farmer, two months ago this village passed a ban on the purchase of watermelons, and so it just sits out all day in the sun without anybody buying it. During this rather hot day, some of the water in the watermelon evaporates, so that by the time she packs up her wares to go home, the water has dropped from comprising 99 percent of the total fruit down to constituting 98 percent. How much does her watermelon weigh now? (remember that the water in the watermelon evaporates, but the watermelon meat does not.) ----------------- 99% of 300 pounds = 0.99*300 = 297 pounds of water, 3 pounds of meat After evaporation, the 3 pounds is now 2% of the total. ------------- Total weight = 3/0.02 = 150 pounds
 Travel_Word_Problems/710457: This is my question: When I drove to my parents house, I went at 90 MPH. This upset my mother, so I promised her I'd slow down. On the way back, I only drove 60 mph, and it took me 2 hours longer. How far away do my parents live? I tried to make a table like this: rate x time = distance. There 90 X 90X Back 60 X=2 60(x+2) Then I did 60x+120 = 90x. -60x on both sides. 120 = 30 X. divide both sides by 120 and now im lost. What do I need to do?1 solutions Answer 437005 by Alan3354(30982)   on 2013-02-04 21:16:29 (Show Source): You can put this solution on YOUR website!When I drove to my parents house, I went at 90 MPH. This upset my mother, so I promised her I'd slow down. On the way back, I only drove 60 mph, and it took me 2 hours longer. How far away do my parents live? -------------- d = r*t d = 90t = 60(t+2) 90t = 60t + 120 t = 4 hours -------- d = 90*4 = 360 miles d = 60*(4+2) = 360 miles
 Linear-systems/710410: Substitition Method, Please help me the solutions 3x+4y=4 2x y=6 -y-(6+2x) 3x+4(6-2x)=4 3x+24-8x=4 5x=20/5=(4,2) 1 solutions Answer 436996 by Alan3354(30982)   on 2013-02-04 20:20:16 (Show Source): You can put this solution on YOUR website!Substitition Method, Please help me the solutions 3x+4y=4 2x y=6 -y-(6+2x) 3x+4(6-2x)=4 3x+24-8x=4 5x=20/5=(4,2) ================ Is it all one problem? Separate the pairs. ---- 2x y=6 No operator between terms. -y-(6+2x) No equal sign. 5x=20/5=(4,2) Two equal signs. ----------- Make an effort.
 Exponential-and-logarithmic-functions/710422: e^x=181 solutions Answer 436995 by Alan3354(30982)   on 2013-02-04 20:17:21 (Show Source): You can put this solution on YOUR website!e^x=18 --------- x = ln(18)
 Travel_Word_Problems/710383: A person riding a ferris wheel with a diameter of 212 feet travels once around the wheel in 4.2 minutes. What is the average speed of the rider in miles per hour? 1 solutions Answer 436979 by Alan3354(30982)   on 2013-02-04 19:17:59 (Show Source): You can put this solution on YOUR website!A person riding a ferris wheel with a diameter of 212 feet travels once around the wheel in 4.2 minutes. What is the average speed of the rider in miles per hour? ----------- Distance = pi*212 feet Time = 4.2 minutes r = D/T ft/min ========= 22 ft/min = 15 mi/hr
 Linear-equations/710250: What are three ordered pairs that are solutions to 2x + y = 5 ?1 solutions Answer 436932 by Alan3354(30982)   on 2013-02-04 15:58:01 (Show Source): You can put this solution on YOUR website!What are three ordered pairs that are solutions to 2x + y = 5 ? -------- y = -2x + 5 Pick 3 values for x and find y.
 Expressions-with-variables/710230: the difference of h and 8 1 solutions Answer 436931 by Alan3354(30982)   on 2013-02-04 15:57:01 (Show Source): You can put this solution on YOUR website!the difference of h and 8 ======== = h-8 or 8-h --- = |h-8| (absolute value)
 test/710247: Graph (-5,3), (-2,5) and (2,-3). I got it wrong on a test and I have to get it right to recieve 1/2 credit. Thanks1 solutions Answer 436929 by Alan3354(30982)   on 2013-02-04 15:54:53 (Show Source): You can put this solution on YOUR website!Graph (-5,3), (-2,5) and (2,-3). ------------ Those are 3 points. Just plot them?
 Money_Word_Problems/710201: if you invested \$250 at 16% interest how much will you have after 18 years?1 solutions Answer 436915 by Alan3354(30982)   on 2013-02-04 15:08:38 (Show Source): You can put this solution on YOUR website!if you invested \$250 at 16% interest how much will you have after 18 years? ----------------- If it's simple interest, you'll have \$250*0.16*18 = \$720 ------------ If it's compount interest, which is likely, it varies with the compounding period. --- Compounded annually it's \$250*(1.16)^18 = \$3615.63 Compounded quarterly it's \$250*(1.04)^72 = \$4210.57 Compounded continuously it's \$250*e^0.16*18 = \$ 4453.68
 Polynomials-and-rational-expressions/710211: Solve the equation 6x^2 + 19x + 10 = 0 What I've tried: (6x + ) (x+ ) 1 solutions Answer 436910 by Alan3354(30982)   on 2013-02-04 14:45:53 (Show Source): You can put this solution on YOUR website!Solve the equation 6x^2 + 19x + 10 = 0 What I've tried: (6x + ) (x+ ) ================== Only one other pair of factors of 6. Try (3x + )*(2x + ) = 0
 test/709957: 11/126-5/841 solutions Answer 436823 by Alan3354(30982)   on 2013-02-03 22:24:55 (Show Source): You can put this solution on YOUR website!11/126-5/84 -------- Cross multiply = (11*84 - 126*5)/(126*84) = (924 - 630)/(126*84) = 294/(126*84) = 1/36
 Travel_Word_Problems/709831: A cyclist takes 5 hours to travel 65 miles while pedaling against the wind. If the speed of the wind is 6 miles per hour, how fast would the cyclist be able to travel on a windless day? 1 solutions Answer 436793 by Alan3354(30982)   on 2013-02-03 15:46:55 (Show Source): You can put this solution on YOUR website!A cyclist takes 5 hours to travel 65 miles while pedaling against the wind. If the speed of the wind is 6 miles per hour, how fast would the cyclist be able to travel on a windless day? ----------------- You'll have to provide the relation between windspeed and cycling speed.
 Volume/709797: Find the volume of cylinder is 99000cm cube is the radius is 30cm,calculate the volume 1 solutions Answer 436785 by Alan3354(30982)   on 2013-02-03 15:11:00 (Show Source): You can put this solution on YOUR website!Find the volume of cylinder is 99000cm cube is the radius is 30cm,calculate the volume ================== Your statement gives the volume = 99000 cc
 Permutations/709819: How many whole numbers between 32 and77 ( not including 32 and 77)?1 solutions Answer 436783 by Alan3354(30982)   on 2013-02-03 15:04:00 (Show Source): You can put this solution on YOUR website!How many whole numbers between 32 and77 ( not including 32 and 77)? ------------ 77 - 32 = 45 --> 46 numbers inclusive --> 44 non-inclusive
 test/709790: How to have a TI-84 plus resolve this equation |17,963 - 45,871|1 solutions Answer 436776 by Alan3354(30982)   on 2013-02-03 14:01:43 (Show Source): You can put this solution on YOUR website!How to have a TI-84 plus resolve this equation |17,963 - 45,871| -------------- Equations have equal signs.
 expressions/709731: I need help simplify using the distributive propery to write the expression with out paratheses -6(4a+3)+81 solutions Answer 436774 by Alan3354(30982)   on 2013-02-03 13:04:24 (Show Source): You can put this solution on YOUR website! I need help simplify using the distributive propery to write the expression with out paratheses -6(4a+3)+8 -------------- What sort of help? Try it, I can check your work.
 test/709754: Help? 1 solutions Answer 436773 by Alan3354(30982)   on 2013-02-03 13:03:15 (Show Source): You can put this solution on YOUR website!Help? --------- Do you need an ambulance?
 test/709753: Help? 1 solutions Answer 436772 by Alan3354(30982)   on 2013-02-03 13:01:55 (Show Source): You can put this solution on YOUR website!Help? --- I can send you \$5
 Linear_Algebra/709763: 4x^2-2y+8x+4y^2-7=0 find centre of circle radius and graph it1 solutions Answer 436770 by Alan3354(30982)   on 2013-02-03 13:00:45 (Show Source): You can put this solution on YOUR website!4x^2-2y+8x+4y^2-7=0 find centre of circle radius and graph it -------------- 4x^2-2y+8x+4y^2-7=0 Complete the square for x & y x^2 - y/2 + 2x + y^2 = 7/4 Can you finish it?
 test/709768: 41 solutions Answer 436769 by Alan3354(30982)   on 2013-02-03 12:55:05 (Show Source): You can put this solution on YOUR website!What about 4?
 Inequalities/709766: 29x -25 < 911 solutions Answer 436768 by Alan3354(30982)   on 2013-02-03 12:53:40 (Show Source): You can put this solution on YOUR website!29x -25 < 91 -------------- Add 25 to both sides. Dived by 29
 Quadratic-relations-and-conic-sections/709708: if two circles are tangent to each other.one equation of acircle is 3(xsquare)+2(ysquare)+k=0 and the other is 2(xsquare)+3(ysquare)+x+6y=0.then what is the value of k?1 solutions Answer 436751 by Alan3354(30982)   on 2013-02-03 10:49:19 (Show Source): You can put this solution on YOUR website!if two circles are tangent to each other.one equation of acircle is 3(xsquare)+2(ysquare)+k=0 and the other is 2(xsquare)+3(ysquare)+x+6y=0.then what is the value of k? ---------------- 3x^2 + 2y^2 + k = 0 2x^2 + 3y^2 + x + 6y = 0 -------- Those are not circles, they're ellipses.
 logarithm/709711: log(x)=81 solutions Answer 436750 by Alan3354(30982)   on 2013-02-03 10:44:56 (Show Source): You can put this solution on YOUR website!log(x)=8 -----------