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# Recent problems solved by 'venugopalramana'

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 Linear-equations/54603: Find four solutions for the equation 3x + 5y = 15. No book. Thank you very much for your time!!1 solutions Answer 36874 by venugopalramana(3286)   on 2006-10-04 12:43:46 (Show Source): You can put this solution on YOUR website!Find four solutions for the equation 3x + 5y = 15. No book. Thank you very much for your time!! GIVE ANY VALUE FOR X AND FIND Y FOR EX..PUT X=0...SO 3*0+5Y=15...OR..5Y=15..OR...Y=15/5=3 PUT X = 5.....SO 3*5+5Y=15...OR...5Y=0....OR....Y=0 LIKE THIS YOU CAN FIND NY NUMBER OF SOLUTIONS
 Rate-of-work-word-problems/54597: Amy can do a certain job task in 4 hours. She decided to help her brother Jim after he spent 2 hours on the task. Together they finished the task in 2 more hours. a)how long would it take for jim to do the task on his own? b)how long would it take for them to do it together if Amy had joined jim from the beginning?1 solutions Answer 36873 by venugopalramana(3286)   on 2006-10-04 12:40:56 (Show Source): You can put this solution on YOUR website!SEE THE FOLLOWING EXAMPLE AND TRY. --------------------------------------------------------------------------- It takes 5 hours for John to do some job. JOHN IN 1 HR DOES 1/5=0.2 JOB he worked for an hour , HENCE JOHN COMPLETED 1/5 JOB.... BALANCE JOB = 1-1/5 = 4/5=0.8 JOB and then Mike joined . Together they finished the job in 1 1/2 hour. THAT IS JOHN + MIKE TOOK 1.5 HRS TO DO 4/5=0.8 JOB JOHN+MIKE DO IN 1 HR 0.8/1.5=8/15 JOB BUT JOHN DOES IN 1 HR 1/5 JOB SO MIKE DID IN 1 HR .....8/15 - 1/5 = 5/15=1/3 JOB SO MIKE NEEDS 1/(1/3) HRS = 3 HRS TO DO 1 WHOLE JOB. a) how long would it take mike to do the job by himself? SO MIKE NEEDS 1/(1/3) HRS = 3 HRS TO DO 1 WHOLE JOB. b) if john worked for 3 hours before mike joined him , how long would it take for them to finish the job together? JOHN DOES IN 3 HRS 3/5 JOB BALANCE JOB =1-3/5 = 2/5 JOB JOHN + MIKE DO IN 1 HR 8/15 JOB JOHN + MIKE NEED (2/5)/(8/15)=(2*15)/(8*5) = 3/4 HRS TO COMPLETE THE JOB
 Linear-equations/54599: Which of the ordered pairs is a solution for the equation 3x – 4y = 12? A) (0, 3) B) (–4, 0) C) (–4, –3) D) (0, –3) Thanks so much for your response!! No book.1 solutions Answer 36872 by venugopalramana(3286)   on 2006-10-04 12:38:46 (Show Source): You can put this solution on YOUR website!Which of the ordered pairs is a solution for the equation 3x – 4y = 12? A) (0, 3) B) (–4, 0) C) (–4, –3) D) (0, –3) Thanks so much for your response!! No book. WE FIND 3*0-4(-4)=12 SATISFY THE EQN.HENCE D (0,-3) IS THE ANSWER
 Rate-of-work-word-problems/54600: It takes 5 hours for John to do some job. he worked for an hour , and then Mike joined . Together they finished the job in 1 1/2 hour. a) how long would it take mike to do the job by himself? b) if john worked for 3 hours before mike joined him , how long would it take for them to finish the job together?1 solutions Answer 36871 by venugopalramana(3286)   on 2006-10-04 12:37:04 (Show Source): You can put this solution on YOUR website!It takes 5 hours for John to do some job. JOHN IN 1 HR DOES 1/5=0.2 JOB he worked for an hour , HENCE JOHN COMPLETED 1/5 JOB.... BALANCE JOB = 1-1/5 = 4/5=0.8 JOB and then Mike joined . Together they finished the job in 1 1/2 hour. THAT IS JOHN + MIKE TOOK 1.5 HRS TO DO 4/5=0.8 JOB JOHN+MIKE DO IN 1 HR 0.8/1.5=8/15 JOB BUT JOHN DOES IN 1 HR 1/5 JOB SO MIKE DID IN 1 HR .....8/15 - 1/5 = 5/15=1/3 JOB SO MIKE NEEDS 1/(1/3) HRS = 3 HRS TO DO 1 WHOLE JOB. a) how long would it take mike to do the job by himself? SO MIKE NEEDS 1/(1/3) HRS = 3 HRS TO DO 1 WHOLE JOB. b) if john worked for 3 hours before mike joined him , how long would it take for them to finish the job together? JOHN DOES IN 3 HRS 3/5 JOB BALANCE JOB =1-3/5 = 2/5 JOB JOHN + MIKE DO IN 1 HR 8/15 JOB JOHN + MIKE NEED (2/5)/(8/15)=(2*15)/(8*5) = 3/4 HRS TO COMPLETE THE JOB
 Quadratic_Equations/54620: SOLVE CUBIC EQUATION X^3 + 3X^2 - 28X = 01 solutions Answer 36870 by venugopalramana(3286)   on 2006-10-04 12:27:28 (Show Source): You can put this solution on YOUR website!SOLVE CUBIC EQUATION X^3 + 3X^2 - 28X = 0 X(X^2+3X-28)=0 X[X^2+7X-4X-28]=0 X[X(X+7)-4(X+7)]=0 X(X-4)(X+7)=0 X=0.....OR......X=4.......OR.......X=-7
 Linear-equations/54564: This question is from textbook Algebra 1 Find the slope of the graph of the linear function f. f(6)=-1, f(3)=81 solutions Answer 36869 by venugopalramana(3286)   on 2006-10-04 12:25:20 (Show Source): You can put this solution on YOUR website!Find the slope of the graph of the linear function f. f(6)=-1, f(3)=8 SLOPE = [F(6)-F(3)]/(6-3)=(-1-8)/3=-3
 Functions/54567: This question is from textbook elementary and intermediate algebra Im not understanding this function stuff. Can someone please explain it to me. Here is an example problem. y^2=x+1 I know that you enter a number into one of the variables and solve for the other variable, but Im not sure what makes a problem like this functional or non functional. 1 solutions Answer 36841 by venugopalramana(3286)   on 2006-10-04 06:12:56 (Show Source): You can put this solution on YOUR website!Im not understanding this function stuff. Can someone please explain it to me. Here is an example problem. y^2=x+1 I know that you enter a number into one of the variables and solve for the other variable, but Im not sure what makes a problem like this functional or non functional. IF YOU KNOW SUBSTITUTION OF VALUES FOR X AND FINDING Y ,THEN IT IS SIMPLE TEST WHETHER YOU GET A UNIQUE OR MULTIPLE VALUES FOR Y FOR A PARTICULAR VALUE OF X...IF YOU GET UNIQUE VALUE THEN IT IS A FUNCTION .OTHERWISE IT IS NOT. IN GENERAL IF Y1 IS NOT EQUAL TO Y2 THEN X1 SHOULD NOT BE EQUAL TO X2 FOR IT TO BE A FUNCTION .OTHERWISE NOT.NOTE THAT IT DOES NOT MATTER THE OTHERWAY AROUND..THAT IS X1 AND X2 CAN HAVE SAME Y VALUE ..THAT IS EVEN IF Y1=Y2, X1 MAY NOT BE EQUAL TO X2. SEE FOLLOWING EXAMPLES EX.1... Y = X+2...WE KNOW FOR CERTAIN HERE THAT IF Y1 IS NOT EQUAL TO Y2,X1 WILL NOT BE EQUAL TO X2..HENCE ITIS A FUNCTION EX.2... Y=X^2...HERE ALSO IF Y1 IS NOT EQUAL TO Y2..THEN X1 WILL NOT BE EQUAL O X2.SO IT IS A FUNCTION.SEE THAT HERE X1=+2 AND X2=-2 HAVE SAME Y VALUE +4..IT IS OK FOR A FUNCTION.THE OTHER WAY ROUND IS NOT ALLOWED. EX.3.....Y = + OR - SQUARE ROOT OF (X)...THIS IS NOT A FUNCTION.SINCE X =4 GIVES RAISE TO 2 DIFFERENT VALUES OF Y NAMELY +2 AND -2...IT IS NOT UNIQUE.HENCE THIS IS NOT A FUNCTION. NOW I THINK YOU CAN ANSWER YOUR PROBLEM WITH THIS TEST AND EXAMPLES
 Functions/54583: This question is from textbook ALGEBRA AND TRIGONOMETRY PLEASE HELP ME WITH THIS PROBLEM: FIND THE HORIZONTAL ASYMPTOTE OF THE RATIONAL FUNCTION f(x)= 8x-12 over 4x-21 solutions Answer 36840 by venugopalramana(3286)   on 2006-10-04 05:49:58 (Show Source): You can put this solution on YOUR website!PLEASE HELP ME WITH THIS PROBLEM: FIND THE HORIZONTAL ASYMPTOTE OF THE RATIONAL FUNCTION f(x)= 8x-12 over 4x-2 Y= (8X-12)/(4X-2) AS X TENDS TO INFINITY WE FIND THAT Y TENDS TO 8/4=2[Y={8-(12/X)}/{4-(2/X)}=8/4] HENCE HORIZONTAL ASYMPTOTE IS Y=2
 Functions/54584: PLEASE HELP ME WITH THIS PROBLEM: FIND THE VERTICAL ASYMPTOTE OF THE RATIONAL FUNCTION f(x) = 3x-12 over 4x-21 solutions Answer 36839 by venugopalramana(3286)   on 2006-10-04 05:46:38 (Show Source): You can put this solution on YOUR website!PLEASE HELP ME WITH THIS PROBLEM: FIND THE VERTICAL ASYMPTOTE OF THE RATIONAL FUNCTION f(x) = 3x-12 over 4x-2 Y= (3X-12)/(4X-2) Y TENDS TO INFINITY AS 4X-2 TENDS TO ZERO..THAT IS 4X TENDS TO 2..OR...X TENDS TO 1/2. HENCE VERTICAL ASYMPTOTE IS X=1/2
 Functions/54585: use the given conditions to write an equation in the point-slope form and the slope-intercept form slope=4, passing through (1, 3)1 solutions Answer 36838 by venugopalramana(3286)   on 2006-10-04 05:43:10 (Show Source): You can put this solution on YOUR website!SEE FOLLOWING EXAMPLE AND TRY use the given conditions to write an equation in the point-slope form and the slope-intercept form slope = 8 = M, passing through (4, -1)= (X1,Y1) FORMULA IS Y-Y1=M(X-X1) Y-(-1)=8(X-4) Y+1=8X-32 Y=8X-33......................SLOPE = 8....INTERCEPT = -33
 Functions/54586: use the given conditions to write an equation in the point-slope form and the slope-intercept form slope = 8, passing through (4, -1)1 solutions Answer 36837 by venugopalramana(3286)   on 2006-10-04 05:07:48 (Show Source): You can put this solution on YOUR website!use the given conditions to write an equation in the point-slope form and the slope-intercept form slope = 8 = M, passing through (4, -1)= (X1,Y1) FORMULA IS Y-Y1=M(X-X1) Y-(-1)=8(X-4) Y+1=8X-32 Y=8X-33......................SLOPE = 8....INTERCEPT = -33
 Probability-and-statistics/54455: Balls numbered from 1 to 52 are placed in a jar and mixed. If one is drawn at random, find the probability of each result. A. The number is less than 15. B. The number is greater than or equal to 20. C. The number is a 10 or a 20. D. The number is less than 11 or greater than 48.1 solutions Answer 36707 by venugopalramana(3286)   on 2006-10-03 11:56:38 (Show Source): You can put this solution on YOUR website!Balls numbered from 1 to 52 are placed in a jar and mixed. If one is drawn at random, find the probability of each result. HENCE TOTAL POSSIBILITIES = 52 A. The number is less than 15.....THERE ARE 14 SUCH BALLS ..HENCE P=14/52=7/26 B. The number is greater than or equal to 20. ...THERE ARE 33 SUCH BALLS...HENCE P=33/52 C. The number is a 10 or a 20.....THERE ARE 2 SUCH BALLS....HENCE P=2/52=1/26 D. The number is less than 11 or greater than 48...THERE ARE 10+4=14 SUCH BALLS...HENCE P=14/52=7/26
 Parallelograms/54418: How do I prove that DEFG is a parallelogram? When Quadrilateral DEFG has vertices d(a,b) E(a+c,b)F(a+c+d,b+e)G(a+d,b+e).1 solutions Answer 36706 by venugopalramana(3286)   on 2006-10-03 11:52:47 (Show Source): You can put this solution on YOUR website!How do I prove that DEFG is a parallelogram? When Quadrilateral DEFG has vertices d(a,b) E(a+c,b)F(a+c+d,b+e)G(a+d,b+e). MID POINT OF DF = [{(A+A+C+D)/2},{(B+B+E)/2}]=[(2A+C+D)/2 , (2B+E)/2 ] MID POINT OF EG = [{A+C+A+D}/2 , {B+B+E}/2] = [(2A+C+D)/2 , (2B+E)/2 ] THAT IS MID POINTS ARE SAME...THAT IS DIAGONALS BISECT EACH OTHER...HENCE IT IS A PARALLELOGRAM
 Linear-equations/54423: if points A,Band C on a coordinate line have coordinates -5,3 and 10 respectively,find d(A,C)+d(B,C).thank you.1 solutions Answer 36705 by venugopalramana(3286)   on 2006-10-03 11:46:36 (Show Source): You can put this solution on YOUR website!if points A,Band C on a coordinate line have coordinates -5,3 and 10 respectively,find d(A,C)+d(B,C).thank you. DO YOU MEAN A,B,C HAVE SAME X (OR Y ) COORDINATE? IF SO AB = 3-(-5)=3+5=8 BC = 10-3=7 AC=10+5=15 AC+BC=7+15=22
 Numbers_Word_Problems/54451: Dave Bowers collects U.S. gold coins. He has a collection of 46 coins. Some are \$10 coins and the rest are \$20 coins. If the face value of the coin is \$640, then how many of each denoination does he have? Use the six-step method.1 solutions Answer 36704 by venugopalramana(3286)   on 2006-10-03 11:42:20 (Show Source): You can put this solution on YOUR website!Dave Bowers collects U.S. gold coins. He has a collection of 46 coins. Some are \$10 coins( X SAY ) and the rest are \$20 coins ( Y SAY ). X+Y=46..............OR...........Y=46-X..................1 If the face value of the coin is \$640, F.V.OF \$10 COINS = 10X F.V.OF \$20 COINS = 20Y TOTAL VALUE = 10X+20Y=10X+20(46-X)=640 10X+920-20X=640 10X=920-640=280 X=28 Y=46-28=18 HENCE \$ 10 COINS ARE 28 IN NUMBER AND \$ 20 COINS ARE 18 IN NUMBER then how many of each denoination does he have? Use the six-step method.
 Functions/54425: find the domain. f(x)=sqrt(x+4), g(x)=x^21 solutions Answer 36702 by venugopalramana(3286)   on 2006-10-03 11:37:03 (Show Source): You can put this solution on YOUR website!find the domain. f(x)=sqrt(x+4), SQRT OF NEGATIVE NUMBER DOES NOT EXIST.HENCE DOMAIN OF FUNCTION ....OR...X SHOULD BE SUCH THAT X+4>=0...THAT IS X>=-4 g(x)=x^2 HERE THERE IS NO RESTRICTION ON X VALUE FOR THE FUNCTION TO EXIST.HENCE DOMAIN IS ALL REAL VALUES FOR X
 Linear-systems/54436: I need help. Solve the following system by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent. 10x + 2y = 7 and y = -5x + 3 1 solutions Answer 36700 by venugopalramana(3286)   on 2006-10-03 11:06:57 (Show Source): You can put this solution on YOUR website!SEE THE FOLLOWING EXAMPLES AND TRY IF STILL IN DIFFICULTY PLEASE COME BACK -------------------------------------------------------------------------- Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. x + 5y =10...........................................I -2x - 10y = -20.................................II -2*EQN.I GIVES -2X-10Y=-20....WHICH IS SAME AS EQN.II... HENCE THEY ARE DEPENDENT EQUATIONS. SO INEFFECT WE HAVE ONLY ONE EQN.TO SOLVE FOR 2 UNKOWNS. HENCE WE SHALL HAVE INFINTE SOLUTIONS LIKE IN THIS CASE X=0....Y=2 X=10...Y=0...ETC.. IMPORTANT NOTE. THEY HAVE INFINITE SOLUTIONS BUT NOT ANY AND EVERY VALUE OF X AND Y.FOR EXAMPLE IF X=0 ,THEN Y HAS TO EQUAL 2 ONLY NOT ANY OTHER VALUE.SO IT HAS INFINITE SETS OF X AND Y PAIRS FOR ITS SOLUTION ANOTHER EXAMPLE IS X+Y=1........................1 2X+2Y=2..............................2 HERE AGIN EQN.2IS JUST A MULTIPLICATION OF EQN.1 WITH 2 ON BOTH LHS AND RHS THE GERAL SOLUTION FORMULA IS Y=1-X...OR (X,1-X)IS A SOLUTION SET..LIKE (1,0),(2,-1) ETC.... THUS DEPENDENT EQNS.HAVE LHS AND RHS IN THE SAME PRPORTION OR COMBINATION IN DIFFERENT EQNS. ---------------------------------------------------------------------------- AS THE NAME IMPLIES AN INCONSISTENT SET OF EQUATIONS HAS NO SOLUTION AS THEY ARE INCONSISTENT.FOR EXAMPLE X+Y=2.....................1 2X+2Y=3.....................2 IF WE TRY TO SATISFY EQN.1,WE CANT SATISFY EQN.2 AND VICEVERSA...AS THE LHS OF BOTH EQNS.ARE INPROPORTION OF 1:2,WHERE AS RHS IS IN THE RATIO OF 2:3 HENCE THERE IS NO QUESTION OF GETTING A GENERAL SOLUTION FOR THAT BY ANY METHOD . SO INCONSISTENT EQNS HAVE LHS AS MULTIPLES OR COMBINATIONS IN ONE PROPORTION WHILE RHS IS IN DIFFERENT PROPORTION IN DIFFERENT EQNS. -------------------------------------------------------------------- FINALLY CONSISTENT AND INDEPENDENT EQNS.HAVE UNIQUE SOLUTION..FOR EXAMPLE X+Y=2...................1 X-Y=0..........................2 EQN.1 +EQN.2 GIVES 2X=2...OR...X=1 SUBSTITUTING IN EQN.1 ,WE GET Y=1.THUS THEY HAVE ONE UNIQUE SOLUTION X=1 AND Y=1 HERE LHS OF DIFFERENT EQNS.IS NOT A DIRECT MULTIPLE OR COMBINATIONS OF OTHER EQNS. -------------------------------------------------------------------------
 Linear-systems/54431: I do not know how to work this problem. I would appreciate your help. Find values for m and b in the following system so that the solution to the system is (-3,4). 5x + 7y = b and mx + y = 22 1 solutions Answer 36684 by venugopalramana(3286)   on 2006-10-03 06:22:53 (Show Source): You can put this solution on YOUR website!I do not know how to work this problem. I would appreciate your help. Find values for m and b in the following system so that the solution to the system is (-3,4). GIVEN SOLUTION SHOULD SATISFY THE EQN.THAT IS WHEN SUBSTITUTED WE SHOULD GET LHS= RHS........SO 5x + 7y = b 5*(-3)+7*4=B -15+28=B 13=B and mx + y = 22 M*(-3)+4=22 -3M=22-4=18 M= 18/(-3) = -6
 Points-lines-and-rays/52281: If AC=62, find the value of x. Then find AB and BC. Picture: shows a line with 3 points on it. A, B, and C. Points AB=3x-4 and points BC=3x-4. When finding x, I got 10.3 since AB and BC both are 3x-4..does that make them congruent...so AB and BC would both equal 26.9? [ 3(10.3)-4 = 26.9 ] Thank you.1 solutions Answer 36596 by venugopalramana(3286)   on 2006-10-02 11:59:51 (Show Source): You can put this solution on YOUR website!If AC=62, find the value of x. Then find AB and BC. Picture: shows a line with 3 points on it. A, B, and C. Points AB=3x-4 and points BC=3x-4. AC=AB+BC 62=3X-4+3X-4=6X-8 6X=70 X=70/6 = 35/3=11.6666 When finding x, I got 10.3 since AB and BC both are 3x-4..does that make them congruent...so AB and BC would both equal 26.9? NO CONGRUENT OK..SO EACH IS 62/2=31 SO 3X-4=31 3X=35 X=35/3=11.6666 [ 3(10.3)-4 = 26.9 ]
 Linear_Algebra/54320: This question is from textbook mathematics in action Solve the system of equations algebrically. Eliminate the z variable. 2x-y+4z=-2 3x-2y-z=-3 x+4y+2z=171 solutions Answer 36592 by venugopalramana(3286)   on 2006-10-02 11:24:12 (Show Source): You can put this solution on YOUR website!Solve the system of equations algebrically. Eliminate the z variable. 2x-y+4z=-2...............................I 3x-2y-z=-3......................................II x+4y+2z=17...............................III EQN.III+2*EQN.II X+4Y+2Z+6X-4Y-2Z=17-6=11 7X=11.............X=11/7 EQN.I-2*EQN.III 2X-Y+4Z-2X-8Y-4Z=-2-34=-36 -9Y=-36 Y=4 SUBSTITUTING IN EQN.I 2*11/7 -4 +4Z = -2 4Z = -8/7 Z=-2/7
 Divisibility_and_Prime_Numbers/53044: The LCM and GCF of two different integers are related as follows: a. There is no relationship between the LCM and GCF for two different integers b. The LCM is always less than the GCF for two different integers c. The LCM is sometimes less than the GCF for two different integers d. The GCF is always less than the LCM for two different integers 1 solutions Answer 36590 by venugopalramana(3286)   on 2006-10-02 11:11:28 (Show Source): You can put this solution on YOUR website!The LCM and GCF of two different integers are related as follows: a. There is no relationship between the LCM and GCF for two different integers b. The LCM is always less than the GCF for two different integers c. The LCM is sometimes less than the GCF for two different integers d. The GCF is always less than the LCM for two different integers ---------------------------------------------------- The GCF is always less than the LCM for two different integers IS CORRECT
 Polynomials-and-rational-expressions/52996: This question is from textbook given that (3x-a)(x-2)(x-7)= 3x^3-32^2+18x-70 determine the value of a1 solutions Answer 36586 by venugopalramana(3286)   on 2006-10-02 11:06:51 (Show Source): You can put this solution on YOUR website!given that (3x-a)(x-2)(x-7)= 3x^3-32^2+18x-70 determine the value of a PUT X=1 (3*1-A)(1-2)(1-7)=3*1^3-32*1^2+18*1-70=-81 (3-A)6=-81 3-A=-81/6=-27/2 6-2A=-27 2A=33 A=16.5
 Quadratic_Equations/52884: Find the equation of a quadratic polynomial passing through the following points: (-1,2) (-5,2) and (6,8)?1 solutions Answer 36581 by venugopalramana(3286)   on 2006-10-02 10:57:41 (Show Source): You can put this solution on YOUR website!Find the equation of a quadratic polynomial passing through the following points: A=(-1,2).....B= (-5,2) and C=(6,8)? EQN. OF AB IS Y-2 = {(2-2)/(-5+1)}(X+1)=0 Y-2=0...............................1 EQN.OF BC IS Y-2={(8-2)/(6+5)}(X+5)=6(X+5)/11 11Y-22=6X+30 11Y-6X-30-22=0 11Y-6X-52=0...................2 HENCE THE COMMON EQN.REPRESENTING BOTH THE EQNS. IS (Y-2)(11Y-6X-52)=0 11Y^2-6XY-52Y-22Y-12X+104=0 11Y^2-6XY-74Y-12X+104=0
 expressions/54234: I am stuck on correct answer for: a solution to equation 2x^2 - 7x + 3 = 0 is: I am not using a specific book. I am just practicing...1 solutions Answer 36573 by venugopalramana(3286)   on 2006-10-02 09:14:48 (Show Source): You can put this solution on YOUR website!I am stuck on correct answer for: a solution to equation 2x^2 - 7x + 3 = 0 is: 2X^2-6X-X+3=0 2X(X-3)-1(X-3)=0 (X-3)(2X-1)=0 X-3=0...........THAT IS ......X=3 2X-1=0....THAT IS..............X=1/2 I am not using a specific book. I am just practicing...
 logarithm/52981: I would appreciate if someone can help me with this word problem. I am stuck. Thank you. Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown here: log b a = log a/log b Using this formula I have to find log2 10000. I also have to round to the nearest hundreth's place.1 solutions Answer 36572 by venugopalramana(3286)   on 2006-10-02 09:03:56 (Show Source): You can put this solution on YOUR website!I would appreciate if someone can help me with this word problem. I am stuck. Thank you. Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown here: log b a = log a/log b Using this formula I have to find log2 10000. = LOG(10000)/LOG(2) BOTH TO BASE 10 = 4/0.301 =13.288 = 13.29 I also have to round to the nearest hundreth's place.
 Exponents/52914: determine which of the following relations is also a function.if the given relation ia a function then indicate the domain and range of the function using set notion such as={2,5,6,10,11},range={8,4,1,1,0} 1.{(-1,10),(3,7),(4,5),(-6,3),(3,-6),(1,-10),(9,-4)} 2.{(-2,9),(10,9),(-6,6),(8,-10),(7,-1),(-2,-5)} 3.{(-10,-2),(-1,10),(6,-9),(5,10),(-7,8)(5,-6),(-3,7),(1,-9)} 4.{(8,8),(3,-2),(-6,-3),(-4,-1),(_4,4),(1,-6),(9,-2)} 1 solutions Answer 36557 by venugopalramana(3286)   on 2006-10-02 00:57:26 (Show Source): You can put this solution on YOUR website!determine which of the following relations is also a function.if the given relation ia a function then indicate the domain and range of the function using set notion such as={2,5,6,10,11},range={8,4,1,1,0} FOR THESE RELATIONS TO BE FUNCTIONS, SAME FIRST ELEMENT SHOULD NOT HAVE 2 DIFFERENT IMAGES 1.{(-1,10),(3,7),(4,5),(-6,3),(3,-6),(1,-10),(9,-4)}... NO...3 HAS 2 IMAGES 2.{(-2,9),(10,9),(-6,6),(8,-10),(7,-1),(-2,-5)} NO -2 HAS 2 IMAGES 3.{(-10,-2),(-1,10),(6,-9),(5,10),(-7,8)(5,-6),(-3,7),(1,-9)} 5 HAS 2 IMAGES 4.{(8,8),(3,-2),(-6,-3),(-4,-1),(_4,4),(1,-6),(9,-2)} -4 HAS 2 IMAGES??OR IS IT A TYPING MISTAKE..IF IT IS -4 AND +4 IN THE 2 PLACES ,THEN THIS IS A FUNCTION
 Linear-equations/54297: To find the distance to the nearest hundredth between the points (-6-5) and (-1,3) do I start by using -6 and -1 as my X and -5 and 3 as my y? thank you1 solutions Answer 36551 by venugopalramana(3286)   on 2006-10-02 00:23:09 (Show Source): You can put this solution on YOUR website!To find the distance to the nearest hundredth between the points (-6-5) and (-1,3) do I start by using -6 and -1 as my X and -5 and 3 as my y? thank you CORRECT... SQRT[(-6+1)^2+(-5-3)^2]=SQRT(25+64)=SQRT(89)=9.433981=9.43
 Graphs/54192: This question is from textbook Algebra for College Students What are the steps to determine the slope of the line passing through the points ? I am trying to make sure my steps are correct. Thank you1 solutions Answer 36470 by venugopalramana(3286)   on 2006-10-01 12:02:50 (Show Source): You can put this solution on YOUR website!What are the steps to determine the slope of the line passing through the points P = (X1,Y1)=(2,-1) and Q=(X2,Y2)=(-6,-3)? I am trying to make sure my steps are correct. Thank you THE FORMULA FOR SLOPE IS (Y2-Y1)/(X2-X1)={-3-(-1)}/(-6-2)=-2/-8 = 1/4
 Triangles/54193: This question is from textbook I am working on the midsegments of trapezoids. I have trapezoid FGHI, the midpoints, JK. FG equation is x squared + x - 2. IH equation is x squared +3x -12. The midpoint, JK measurement is 8. I have to find the indicated measure. This is what I have so far, x squared + x - 2 + x squared + 3x - 12= 16 2x squared + 4x - 14 = 16 2x squared + 4x -30 = 0 and this is where I am getting stuck.1 solutions Answer 36469 by venugopalramana(3286)   on 2006-10-01 11:57:14 (Show Source): You can put this solution on YOUR website!I am working on the midsegments of trapezoids. I have trapezoid FGHI, the midpoints, JK. FG equation is x squared + x - 2. IH equation is x squared +3x -12. The midpoint, JK measurement is 8. I have to find the indicated measure. This is what I have so far, x squared + x - 2 + x squared + 3x - 12= 16 2x squared + 4x - 14 = 16 2x squared + 4x -30 = 0 and this is where I am getting stuck. PLEASE DESCRIBEE PROBLEM PROPERLY...IS THIS WHAT YOU MEAN? FG IS TOP SIDE HI IS BOTTOM PARALLEL SIDE J IS MID POINT OF FI K IS MIDPOINT OF GH IH EQN CANNOT BE X^2+3X-12..HI BEING A STRAIGHT LINE IT HAS TO BE LINEAR EQN. THEN WHAT DO YOU WANT TO FIND?WHAT IS THAT INDICATED MEASURE? UNLESS YOU GIVE ALL DETAILS PROPERLY WE CANT HELP YOU.
 Graphs/53397: Complete the ordered pairs so that each is a solution for the given equation. 3x+4y=12 (0, ), ( ,3/4), ( ,0), (8/3, ) McGraw Hill 6th edition, chapter 6, section 1, problem # 24. Thanks for your help!!1 solutions Answer 36401 by venugopalramana(3286)   on 2006-09-30 08:51:04 (Show Source): You can put this solution on YOUR website!Complete the ordered pairs so that each is a solution for the given equation. 3x+4y=12 (0, ), 3*0+4Y=12.....Y=3 (0,3) ( ,3/4), 3X+4*3/4=12....... 3X=9 X=3 (3,3/4) ( ,0), 3X+4*0=12 X=4 (4,0) (8/3, ) 3*8/3+4Y=12 4Y=12-8=4 Y=1 (8/3,1) McGraw Hill 6th edition, chapter 6, section 1, problem # 24. Thanks for your help!!
 Inverses/53405: what is the inverse function of *e= refers to the number y= 1+ e^x / 1- e^x1 solutions Answer 36399 by venugopalramana(3286)   on 2006-09-30 08:47:55 (Show Source): You can put this solution on YOUR website!what is the inverse function of *e= refers to the number y= 1+ e^x / 1- e^x (Y-1)/1 = E^X/(1-E^X) (Y-1)/(Y-1+1)=E^X/(E^X+1-E^X) (Y-1)/Y=E^X X= LN{(Y-1)/Y} HENCE INVERSE FUNCION IS LN{(X-1)/X}