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# Recent problems solved by 'Alan3354'

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 Exponential-and-logarithmic-functions/417540: can we get help on f(x)=(1/2)to the power(x+2)1 solutions Answer 292309 by Alan3354(30925)   on 2011-03-04 15:59:00 (Show Source): You can put this solution on YOUR website!What sort of help? What do you want to do?
 Linear-equations/417444: What is the equation of the line that passes through (4, -1) and (-2, 3)? Can you help me answer this? I keep getting y = -4/6x + ? and it has to be written in general form. 1 solutions Answer 292233 by Alan3354(30925)   on 2011-03-04 10:43:18 (Show Source): You can put this solution on YOUR website!What is the equation of the line that passes through (4, -1) and (-2, 3)? Can you help me answer this? I keep getting y = -4/6x + ? and it has to be written in general form. ------------------------- Find the slope, m m = diffy/diffx = (3 - (-1))/(-2 -4) = 4/-6 = -2/3 ---------- Use y = mx + b and either point to find b -1 = (-2/3)*4 + b b = -1 + 8/3 = 5/3 ------------- Then it's y = mx + b -------------------- The eqn is y = (-2/3)x + 5/3 Or 2x + 3y = 5
 logarithm/417422: log3 180 - log3 201 solutions Answer 292223 by Alan3354(30925)   on 2011-03-04 10:11:31 (Show Source): You can put this solution on YOUR website! = = 2
 Exponential-and-logarithmic-functions/417394: Hi I am studying for a test and can not figure out how to solve 9^(-3x)=7. Could you show me step by step how to solve it? Thank you!1 solutions Answer 292217 by Alan3354(30925)   on 2011-03-04 08:51:36 (Show Source): You can put this solution on YOUR website! -3x*log(9) = log(7) -3x = log(7)/log(9) x = -log(7)/(3*log(9)) x =~ -0.2952
 Exponents-negative-and-fractional/416960: (3 times 22) divided by 6 +[28-(4)^2]=1 solutions Answer 292009 by Alan3354(30925)   on 2011-03-03 14:38:10 (Show Source): You can put this solution on YOUR website!(3 times 22) divided by 6 +[28-(4)^2]= = 66/6 + [28-16] = 11 + 12 = 23
 Travel_Word_Problems/416937: If a car moves 75 feet in one second, what is its speed per hour?1 solutions Answer 292008 by Alan3354(30925)   on 2011-03-03 14:36:12 (Show Source): You can put this solution on YOUR website!75 ft/sec * 60 sec/min * 60 min/hr = 270000 ft/hr
 Radicals/416904: sqrt(x=7)=x-5 Can you please help me solve this showing the steps?1 solutions Answer 291998 by Alan3354(30925)   on 2011-03-03 14:11:41 (Show Source): You can put this solution on YOUR website!Too many equal signs. ---------------------- Square both sides, go from there.
 test/416896: Simplify (0.006 • 10^-10)(200 • 10^8) all over. ------------------------------- (0.0004)(30,000000) 1 solutions Answer 291995 by Alan3354(30925)   on 2011-03-03 14:08:10 (Show Source): You can put this solution on YOUR website!Simplify = = = or 1E-6 or 0.000001
 Radicals/416907: I need help on how to solve this problem? x=sqrt(2t/k)1 solutions Answer 291992 by Alan3354(30925)   on 2011-03-03 13:30:27 (Show Source): You can put this solution on YOUR website!It's already solved.
 Permutations/416926: How many 5 digit zip codes are possible if 00000 is not used? Thanks Denise1 solutions Answer 291990 by Alan3354(30925)   on 2011-03-03 13:27:58 (Show Source):
 Problems-with-consecutive-odd-even-integers/416857: The difference between the squares of two consecutive even numbers is twise the sum of the numbers. For example: 8^2 - 6^2 = 28 2 x (8 + 6) = 28 Prove this result algebraically. thankyou :) 1 solutions Answer 291953 by Alan3354(30925)   on 2011-03-03 10:23:23 (Show Source): You can put this solution on YOUR website!n & n+2 are the numbers 2*(n + n+2) = 2n+4 ---------------- It's true for odd or even numbers, as shown above. The difference between the squares is the difference between the numbers times the sum of the numbers. Diff of squares = (Diff of numbers) * (sum of numbers) There's no good reason to try to remember that, imo.
 Travel_Word_Problems/416567: a magnetic levitation train travels between the city center of shanghai,china,and pudong international airport. the trip covers 30 kilometers in just 8 minutes. what is the average speed of the train?1 solutions Answer 291841 by Alan3354(30925)   on 2011-03-02 19:00:57 (Show Source): You can put this solution on YOUR website!30 km/8 min = 3.75 km/minute
 Systems-of-equations/416285: I am suppose to solve the following solution of the following system of linear equations by graphing. It asks that I give the solution in an ordered pair. 4x-3y=15 -3y=-4x+15, I divided all by -3 and came up w/ y=4/3x+5, my ordered pair is (0,5) & (3,4) the second equation is: x+y=2 (I had more problems w/ this one) my answer is y=-1x+2, my ordered pair is (0,2) & (-1,-1). When I graphed them they came out not quite parallel, but not touching. 1 solutions Answer 291666 by Alan3354(30925)   on 2011-03-02 11:12:29 (Show Source): You can put this solution on YOUR website!I am suppose to solve the following solution of the following system of linear equations by graphing. It asks that I give the solution in an ordered pair. 4x-3y=15 -3y=-4x+15, I divided all by -3 and came up w/ y=4/3x+5, my ordered pair is (0,5) & (3,4) *********************** Should be -5. y = (4/3)x - 5 2 points are (0,-5) and (3,-1) -------------------------------------- the second equation is: x+y=2 (I had more problems w/ this one) my answer is y=-1x+2, my ordered pair is (0,2) & (-1,-1). (0,2) is a point, but the 2nd is (-1,3) ***************************** ------------------------------------ When I graphed them they came out not quite parallel, but not touching. ---------------------------- dl the FREE graph software at http://www.padowan.dk It'll do you a lot of good, not just for this problem.
 Triangles/416033: Hello. We are learning parts of similar triangles. I have to find the value of x in the image below. I know there are the AA, SSS and SAS rules to tell if two triangles are similar. In the image below which two triangles are similar according to one of the rules above? Thanks. 1 solutions Answer 291592 by Alan3354(30925)   on 2011-03-01 21:30:47 (Show Source): You can put this solution on YOUR website!Is angle B 90 degs?
 Equations/416082: I know how to do this but i forgot ,if we are trying to figure y+7+3x1 solutions Answer 291591 by Alan3354(30925)   on 2011-03-01 21:28:45 (Show Source): You can put this solution on YOUR website!I don't know what you mean by "figure" it.
 Exponential-and-logarithmic-functions/416099: Condense the expression Inx-In6-2Inx1 solutions Answer 291590 by Alan3354(30925)   on 2011-03-01 21:26:32 (Show Source): You can put this solution on YOUR website!Condense the expression Inx-In6-2Inx ------------ I think you mean ln, natural log ln(x) - ln(6) - 2ln(x) = -ln(6) - ln(x) = - ln(6/x) = ln(x/6)
 Exponential-and-logarithmic-functions/416091: I am trying to help my son and am stuck. How do I write an equation for finding out the value of a car that loses 17% each year? Original value us \$35,000. I know how to do the math, but can not figure out the equation. Think it is an exponential?1 solutions Answer 291588 by Alan3354(30925)   on 2011-03-01 21:22:09 (Show Source): You can put this solution on YOUR website!How do I write an equation for finding out the value of a car that loses 17% each year? Original value us \$35,000. ------------ Each year the car is worth 83% of the previous year. y = # of years
 Volume/416092: calculate the volume of a sphere with a radius of 2.13x10^12 V=4/3xphix2.13x10^121 solutions Answer 291586 by Alan3354(30925)   on 2011-03-01 21:19:55 (Show Source): You can put this solution on YOUR website!calculate the volume of a sphere with a radius of 2.13x10^12 V=4/3xphix2.13x10^12 -------------- v =~4.048*10^37
 Angles/415891: if an angle is 53 degrees , what is it's complment1 solutions Answer 291488 by Alan3354(30925)   on 2011-03-01 16:12:25 (Show Source): You can put this solution on YOUR website!if an angle is 53 degrees , what is it's [sic] complment --------- 90 - 53 = 37º
 Quadratic_Equations/415869: The perimeter of a square is 64 centimeters. Find the length of one side. s = centimeters Fill in the blank1 solutions Answer 291473 by Alan3354(30925)   on 2011-03-01 15:43:42 (Show Source): You can put this solution on YOUR website!A square has 4 sides of equal length. s = 64/4 s = 16 cm -------------- It's not necessary to provide blanks to be filled in.
 Polynomials-and-rational-expressions/415857: The difference of the squares of two consecutive negative odd integers is 40. Find the numbers. I tried to set it up like this: n=1st integer n-1=2nd integer n2-(n-1)2=40 (the 2's are squares, but I can't do it on my keyboard) but then I get stuck.1 solutions Answer 291460 by Alan3354(30925)   on 2011-03-01 15:25:43 (Show Source): You can put this solution on YOUR website!The difference of the squares of two consecutive negative odd integers is 40. Find the numbers. I tried to set it up like this: n=1st integer n-1=2nd integer n2-(n-1)2=40 (the 2's are squares, but I can't do it on my keyboard) but then I get stuck. --------------------- The 2nd number should be n-2, since both numbers are odd. 4n - 4 = 40 4n = 44 n = 11 --> 11 & 9 or -11 & -9 ------------ PS Use n^2 for squared, the shifted 6.
 Probability-and-statistics/415837: 6 1/4 - 3 10/12=?1 solutions Answer 291455 by Alan3354(30925)   on 2011-03-01 14:35:20 (Show Source): You can put this solution on YOUR website!= 25/4 - 46/12 = 75/12 - 46/12 = 29/12 ----------- or 2 5/12 tho mixed numbers aren't very useful.
 Functions/415822: write the ratio as a fraction in lowest terms. 59 minutes to 5 hours.1 solutions Answer 291446 by Alan3354(30925)   on 2011-03-01 13:57:20 (Show Source): You can put this solution on YOUR website!= 59/300
 Trigonometry-basics/415819: how to express cos(90-a) in simplest form1 solutions Answer 291445 by Alan3354(30925)   on 2011-03-01 13:55:34 (Show Source): You can put this solution on YOUR website!sin(a) is simple.
 Equations/415560: t/t-4 = t + 4/6 I ended up with 2(t/t-4)=2(t+4/6)but it says that is not correct. How do I do problems like this one? Thank you1 solutions Answer 291308 by Alan3354(30925)   on 2011-02-28 20:58:51 (Show Source): You can put this solution on YOUR website!t/t-4 = t + 4/6 I assume you mean t/(t-4) and not (t/t) - 4 Use parentheses. ---------- t/(t-4) = (t+4)/6 Multiply thru by 6(t-4) 6t = (t-4)*(t+4) = t^2 - 16 (t-8)*(t+2) = 0 t = -2, 8
 Numbers_Word_Problems/415563: Two houses on the same side of the street have house numbers that are consecutive odd integers. If the sum of the two house numbers is 5228, what are the two house numbers?1 solutions Answer 291307 by Alan3354(30925)   on 2011-02-28 20:55:19 (Show Source): You can put this solution on YOUR website!5228/2 = 2614, the middle --> 2613 & 2615
 test/415566: What is the exponent of 63?1 solutions Answer 291306 by Alan3354(30925)   on 2011-02-28 20:54:23 (Show Source):
 test/415570: I have no idea on how to do prevalgebra1 solutions Answer 291305 by Alan3354(30925)   on 2011-02-28 20:53:50 (Show Source): You can put this solution on YOUR website!You should learn.
Quadratic_Equations/415558: can you show me the steps of solving the quadratic equation but in the other form that's -(b)+-square root of b squared minus 4ac over 2a because i know how to solve it but i don't understand it.
1 solutions

Answer 291304 by Alan3354(30925)   on 2011-02-28 20:35:45 (Show Source):
You can put this solution on YOUR website!
eg:
 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 : . The discriminant -3 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -3 is + or - . The solution is , or Here's your graph:

example 2:

 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=49 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 4, -3. Here's your graph:

 Travel_Word_Problems/415413: Truck is driving 60mph a car leaves 7 minutes later going 72mph how long before the car catches the truck1 solutions Answer 291248 by Alan3354(30925)   on 2011-02-28 17:23:09 (Show Source): You can put this solution on YOUR website!60 mi/hr = 1 mile/minute The truck is 7 miles ahead (1*7) The car "gains on" the truck at 12 mph (72 - 60) It'll take 7/12 hours = 35 minutes ---------------------------------- PS "gains on" is a common term, but it's better to consider a different frame of reference. The speed of the car relative to the truck is 12 mi/hr is a better perspective.
 Angles/415277: find the measure of two complementry angles if one angle is fourty-four times the other angle1 solutions Answer 291181 by Alan3354(30925)   on 2011-02-28 14:21:25 (Show Source): You can put this solution on YOUR website!They add to 90º. 44 + 1 = 45 90/45 = 2 --> 2º and 88º