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Alan3354 answered: 30973 problems
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t e s t/681918: In the sequence, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 when we add any three numbers we have to get the answer 30.. 1 solutions Answer 422860 by Alan3354(30993)   on 2012-11-17 12:43:57 (Show Source): You can put this solution on YOUR website! In the sequence, 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 when we add any three numbers we have to get the answer 30.. -------------- The sum of 3 odd numbers is an odd number, can't be 30.

Surface-area/681892: The area of a square is 83 cm2. Find the length of a side to the nearest hundredth. 1 solutions Answer 422856 by Alan3354(30993)   on 2012-11-17 11:19:18 (Show Source): You can put this solution on YOUR website! The area of a square is 83 cm2. Find the length of a side to the nearest hundredth. ----------- cm

Radicals/681910: square root of x divided by the cube root of x 1 solutions Answer 422854 by Alan3354(30993)   on 2012-11-17 10:45:43 (Show Source): You can put this solution on YOUR website! square root of x divided by the cube root of x -------------- You didn't say what you want to do. ---- = =

Triangles/681872: A piece of land with an area of 2400 sq.m is in the shape of a right triangle with the hypotenuse 100m long. Find the two legs. 1 solutions Answer 422853 by Alan3354(30993)   on 2012-11-17 10:43:06 (Show Source): You can put this solution on YOUR website! A piece of land with an area of 2400 sq.m is in the shape of a right triangle with the hypotenuse 100m long. Find the two legs. ------------------ a*b/2 = 2400 --> a = 4800/b Sub for a sub x for b^2 (x - 3600)*(x - 6400) = 0 x = 3600, 6400 --> b = 60, 80 Legs are 60 & 80 meters

�t�e�s�t/681889: A pendulum swings through an angle of 20 degrees each second. The tip moves 5 inches each second. How long is the pendulum ? State your answer correct to one decimal place. 1 solutions Answer 422852 by Alan3354(30993)   on 2012-11-17 10:36:41 (Show Source): You can put this solution on YOUR website! A pendulum swings through an angle of 20 degrees each second. The tip moves 5 inches each second. How long is the pendulum ? State your answer correct to one decimal place. --------------- radians r = arc/angle = 5/(pi/9) = 45/pi inches r =~ 14.3 inches

Proportions/681898: Please help me with the following proportion....x+1 over x-1 = 14 over 20 Thankyou 1 solutions Answer 422851 by Alan3354(30993)   on 2012-11-17 10:34:08 (Show Source): You can put this solution on YOUR website! x+1 over x-1 = 14 over 20 ------------- Cross multiply 20(x+1) = 14(x-1) etc

�t�e�s�t/681895: tan(π/3) + cos (π/4) exact value ? 1 solutions Answer 422850 by Alan3354(30993)   on 2012-11-17 10:32:41 (Show Source): You can put this solution on YOUR website! tan(π/3) + cos (π/4) exact value ? -------------------- =

Average/681905: Hi If I have a 92 in Social Studies and we have had four tests so far, and on my 5th and 6th test I make an 80 on both, what is my grade? Thank You for your time and help. 1 solutions Answer 422849 by Alan3354(30993)   on 2012-11-17 10:30:55 (Show Source): You can put this solution on YOUR website! If I have a 92 in Social Studies and we have had four tests so far, and on my 5th and 6th test I make an 80 on both, what is my grade? G = (92 + 92 + 92 + 92 + 80 + 80)/6

�t�e�s�t/681906: A radioactive isotope decays at a rate that is modeled by the following formula. A(t) = 30e^ -.001t 1. How much material was present initally ? 2. How much will be present in 2000 years ? 1 solutions Answer 422846 by Alan3354(30993)   on 2012-11-17 10:17:33 (Show Source): You can put this solution on YOUR website! A radioactive isotope decays at a rate that is modeled by the following formula. A(t) = 30e^ -.001t 1. How much material was present initally ? ----------- 2. How much will be present in 2000 years ?

Linear-equations/681904: A mountaineer needs 5 hours to go over a mountain. The length of the path is 15km. His uphill speed is 1.5km/h, where his downhill speed is 4km/h. How much time does he need to finish the uphill and downhill path respectively? 1 solutions Answer 422845 by Alan3354(30993)   on 2012-11-17 10:15:14 (Show Source): You can put this solution on YOUR website! A mountaineer needs 5 hours to go over a mountain. The length of the path is 15km. His uphill speed is 1.5km/h, where his downhill speed is 4km/h. How much time does he need to finish the uphill and downhill path respectively? ------------ d = r*t t = d/r 15 km/1.5 km/hr = 10 hours Not gonna do in 5 hours.

�t�e�s�t/681897: Suppose θ measures (4π/5) radians. Determine the exact measure of θ in degrees. (no decimals please !) Thanks 1 solutions Answer 422844 by Alan3354(30993)   on 2012-11-17 10:11:43 (Show Source): You can put this solution on YOUR website!

Linear-systems/681908: When I tried to solve the sample problem my answer was wrong 2x-1y=9 5x+5y=0 this is what I did 2x-1y=9 5x+5y=0 7x+4y=9 for substitution? 1 solutions Answer 422843 by Alan3354(30993)   on 2012-11-17 10:08:33 (Show Source): You can put this solution on YOUR website! When I tried to solve the sample problem my answer was wrong 2x-1y=9 5x+5y=0 this is what I did 2x-1y=9 5x+5y=0 7x+4y=9 for substitution? ----------- Using substition: 2x-1y=9 5x+5y=0 --> y = -x Sub for y in the 1st eqn 2x - (-x) = 9 3x = 9 x = 3 y = -3 ========== Using elimination: 2x-1y=9 5x+5y=0 --> x + y = 0 ------ 2x- y = 9 x + y = 0 ------------- Add 3x = 9 etc.

Exponential-and-logarithmic-functions/681896: Use the graph of y = e^x to evaluate e^1.6 to four decimal places 1 solutions Answer 422841 by Alan3354(30993)   on 2012-11-17 09:09:17 (Show Source): You can put this solution on YOUR website! Use the graph of y = e^x to evaluate e^1.6 to four decimal places ------------- It's 4.953 I don't think I can read my graph to that many digits, tho.

Mixture_Word_Problems/681860: find derivative of (t^2/3)/(3t-5). 1 solutions Answer 422837 by Alan3354(30993)   on 2012-11-17 08:38:18 (Show Source): You can put this solution on YOUR website! find derivative of (t^2/3)/(3t-5) ---- Is it ? Or ? --------- I think the latter. f'(t) = = ============== =

Polynomials-and-rational-expressions/681878: A rectangular swimming pool has an area of 18x^2 + 33x - 40. Find an expression for the perimeter of this pool. 1 solutions Answer 422836 by Alan3354(30993)   on 2012-11-17 08:35:35 (Show Source): You can put this solution on YOUR website! A rectangular swimming pool has an area of 18x^2 + 33x - 40. Find an expression for the perimeter of this pool. ------------------ It might be 18x^2 + 33x - 40 by 1, making the perimeter ------------- You're probably expected to factor that tho. --> P = 18x + 6

Numbers_Word_Problems/681875: what is the sum of 620 and 1? 1 solutions Answer 422832 by Alan3354(30993)   on 2012-11-17 07:52:03 (Show Source): You can put this solution on YOUR website! 621

Polynomials-and-rational-expressions/681829: I need help desperately! Rewrite with positive exponents. x^-1/8 1 solutions Answer 422831 by Alan3354(30993)   on 2012-11-17 07:51:29 (Show Source): You can put this solution on YOUR website! Rewrite with positive exponents. x^-1/8 ---------- = Multiply NUM and DEN by x^1/8 = =

Travel_Word_Problems/681744: if a train is going at two hundred and fifty miles per hour and it travels nine hundred fifty miles. how long is the journey? 1 solutions Answer 422816 by Alan3354(30993)   on 2012-11-16 22:32:41 (Show Source): You can put this solution on YOUR website! if a train is going at two hundred and fifty miles per hour and it travels nine hundred fifty miles. how long is the journey? ------------------ 950 miles, as stated.

Numbers_Word_Problems/681791: There are 256 pages in a book. How many digits are used to number the pages, starting from 1? 1 solutions Answer 422811 by Alan3354(30993)   on 2012-11-16 22:08:49 (Show Source): You can put this solution on YOUR website! There are 256 pages in a book. How many digits are used to number the pages, starting from 1? ----------- 1 to 9 --> 9 digits 10 to 99 = 2*90 = 180 digits 100 to 256 = 157*3 = 471 digits 660 digits

Radicals/681800: I'm trying to prove that 1 solutions Answer 422808 by Alan3354(30993)   on 2012-11-16 21:59:17 (Show Source): You can put this solution on YOUR website! Multiply by sqrt(1 + 0.5sqrt(3)) square both sides QED

Systems-of-equations/681730: How would you find the inverse of one to one function f(x)=9x/x-8? I have worked it down to xy-8x=9y but not sure what the next step would be... f(x)= 9x/x-8 y= 9x/x-8 x= 9y/y-8 x(y-8)= 9y xy-8x= 9y 1 solutions Answer 422765 by Alan3354(30993)   on 2012-11-16 17:56:02 (Show Source): You can put this solution on YOUR website! How would you find the inverse of one to one function f(x)=9x/x-8? I have worked it down to xy-8x=9y but not sure what the next step would be... f(x)= 9x/x-8 y= 9x/x-8 x= 9y/y-8 x(y-8)= 9y xy-8x= 9y ============ xy - 9y = 8x y*(x-9) = 8x x = 8x/(x-9)

real-numbers/681706: lately I have not been to hot on my math tests...One problem i had was.. 5(x-1)= 3(x+3) What I tried: i changed it to 5x-5 = 3x+9 here is where i messed up:i again changed it to 8x-5=9 I thought that I was supposed to combine like terms. Can you please show me the next step in the equation and what the answere should be so I understand? 1 solutions Answer 422753 by Alan3354(30993)   on 2012-11-16 16:52:35 (Show Source): You can put this solution on YOUR website! lately I have not been to hot on my math tests...One problem i had was.. 5(x-1)= 3(x+3) What I tried: i changed it to 5x-5 = 3x+9 here is where i messed up:i again changed it to 8x-5=9 I thought that I was supposed to combine like terms. Can you please show me the next step in the equation and what the answere should be so I understand? ===================== 5x-5 = 3x+9 Do the same thing to both sides. Subtract 3x 2x - 5 = 9 Add 5 2x = 14 Divide by 2 x = 7

Equations/681678: Can you please show me how to solve the following equation. We are not solving for x, but for all solutions. x/x-1+8/x=10/4 1 solutions Answer 422752 by Alan3354(30993)   on 2012-11-16 16:50:12 (Show Source): You can put this solution on YOUR website! Can you please show me how to solve the following equation. We are not solving for x, but for all solutions. ------- x is the only variable, the only thing to solve for. ---------- x/(x-1) + 8/x = 10/4 = 5/2 Mutliply by 2x(x-1) 2x*x + 8*2*(x-1) = 5x*(x-1) 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=249 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 6.12995563967658, 0.870044360323417. Here's your graph:

Quadratic_Equations/681701: The discriminant of 3x^2 - 2x - 1 = 0 is? 1 solutions Answer 422751 by Alan3354(30993)   on 2012-11-16 16:44:35 (Show Source): You can put this solution on YOUR website! The discriminant of 3x^2 - 2x - 1 = 0 is? ------- a = 3 b = -2 c = -1 ---- Disc = b^2 - 4ac

Polynomials-and-rational-expressions/681698: Solve N = fw/f+w for w. the solution is w = ____. can you please help with this? Thanks! 1 solutions Answer 422750 by Alan3354(30993)   on 2012-11-16 16:43:33 (Show Source): You can put this solution on YOUR website! Solve N = fw/f+w for w ========= N*(f+w) = fw Nf + Nw = fw Nf = fw - Nw = w*(f-N) w*(f-N) = Nf w = Nf/(f-N)

Geometry_Word_Problems/681674: On a scale drawing of a park, the sand box is 2 inches wide. The actual sand box is 8 feet wide. What is the scale of the drawing? (1 point)1 in. = 4 ft 1 in. = 6 ft 4 in. = 1 ft 4 in. = 6 ft 1 solutions Answer 422744 by Alan3354(30993)   on 2012-11-16 15:45:38 (Show Source): You can put this solution on YOUR website! On a scale drawing of a park, the sand box is 2 inches wide. The actual sand box is 8 feet wide. What is the scale of the drawing? ------------- If 2 in = 8 ft, then 1 in = 4 ft

Rational-functions/681638: y=x-3 a soulution 1 solutions Answer 422742 by Alan3354(30993)   on 2012-11-16 15:28:25 (Show Source): You can put this solution on YOUR website! y=x-3 a soulution -------- x = 0, y = -3 --> (0,-3)

Travel_Word_Problems/681663: A man rows a boat 240 feet upstream against a constant current in 8 minutes. He then rows 200 feet downstream (with the same current) in 4 minutes. Find the speed of the current and the equivalent rate at which he can row in still water. 1 solutions Answer 422741 by Alan3354(30993)   on 2012-11-16 15:22:18 (Show Source): You can put this solution on YOUR website! A man rows a boat 240 feet upstream against a constant current in 8 minutes. He then rows 200 feet downstream (with the same current) in 4 minutes. Find the speed of the current and the equivalent rate at which he can row in still water. ============= Find the 2 speeds. His rowing speed is the average. The current is the difference between either speed and the average.

Problems-with-consecutive-odd-even-integers/681677: A triangle has sides whose measures are consecutive integers.If the perimeter is 96 inches,then find the measure of each side.the length of the smallest side is(?)inches? 1 solutions Answer 422740 by Alan3354(30993)   on 2012-11-16 15:20:08 (Show Source): You can put this solution on YOUR website! A triangle has sides whose measures are consecutive integers.If the perimeter is 96 inches,then find the measure of each side.the length of the smallest side is(?)inches? -------------- 96/3 = 32, the middle length

logarithm/681658: Write y=900(6)^x in terms of base e 1 solutions Answer 422739 by Alan3354(30993)   on 2012-11-16 15:15:26 (Show Source): You can put this solution on YOUR website! Write y=900(6)^x in terms of base e

logarithm/681673: 2 log base 5 x + 3 log base 5 (x-2). My instructor said the answer is log 32.5/log square root of 2. I understand where he got the log square root of 2 but don't understand the log 32.5. I wasn't sure if I wrote his review problem down correctly. Thanks 1 solutions Answer 422738 by Alan3354(30993)   on 2012-11-16 15:06:11 (Show Source): You can put this solution on YOUR website! 2 log base 5 x + 3 log base 5 (x-2) ---------- = log(x^2) + log(x-2)^3) = log(x^2*(x-2)^3}}} All logs base 5