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# Recent problems solved by 'lwsshak3'

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 logarithm/619762: please help me solve this equation 2 log base 5 radical 51 solutions Answer 391499 by lwsshak3(6519)   on 2012-06-21 03:14:24 (Show Source): You can put this solution on YOUR website!solve this equation 2 log base 5 radical 5 2log5(√5) =2log5(5^1/2) =log5(5^1/2)^2 =log5(5) =1
 test/622651: |2x^2 + 3| = 7x1 solutions Answer 391498 by lwsshak3(6519)   on 2012-06-21 02:33:19 (Show Source): You can put this solution on YOUR website!|2x^2 + 3| = 7x solve for two conditions: 2x^2+3=7x 2x^2-7x+3=0 (2x-1)(2x-3)=0 x=1/2 or x=3/2 (reject, does not check) .. 2x^2+3=-7x 2x^2+7x+3=0 (2x+1)(2x+3)=0 x=-1/2 (reject, does not check) or x=-3/2 (reject, does not check) solution: x=1/2
 test/622650: Two number differ by 5 and 3/5 of the greater number is equal to 3/4 to the smaller. Find the number.1 solutions Answer 391496 by lwsshak3(6519)   on 2012-06-21 02:15:07 (Show Source): You can put this solution on YOUR website!Two number differ by 5 and 3/5 of the greater number is equal to 3/4 to the smaller. Find the number ** let x=larger number x-5=smaller number 3x/5=3(x-5)/4 3x/5=(3x-15)/4 LCD=20 12x=15x-75 3x=75 x=25 x-5=20 larger number=25 smaller number=20
 Coordinate-system/622592: Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work. -4x+9y=-36 1 solutions Answer 391494 by lwsshak3(6519)   on 2012-06-21 02:02:59 (Show Source): You can put this solution on YOUR website!Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work. -4x+9y=-36 y-intercept set x=0 9y=-36 y=-4 .. x-intercept set y=0 -4x=-36 x=4 see graph below:
 Polynomials-and-rational-expressions/622644: Please help! Find the LCD. 1 solutions Answer 391493 by lwsshak3(6519)   on 2012-06-21 01:52:56 (Show Source): You can put this solution on YOUR website!Find the LCD ((5)/(7ab^5)) and ((2)/(7a^3b^3)) select the highest power of each variable in the denominator LCD: 7a^3b^5
 test/622626: solve using long division, then check. (x^3+2x^2+3x-6)/(x-1)=?1 solutions Answer 391485 by lwsshak3(6519)   on 2012-06-21 01:22:50 (Show Source): You can put this solution on YOUR website!solve using long division, then check. (x^3+2x^2+3x-6)/(x-1)=? ** ..............x^2......3x.......6....... ...x-1|....x^3....2x^2....3x...-6 ........................3x^2....3x...... ........................3x^2..-3x...... ....................................6x..-6.. ....................................6x..-6.. ..........................................0.. Check: quotient*divisor+remainder=dividend (x^2+3x+6)(x-1)+0 =x^3+3x^2+6x-x^2-3x-6+0 =x^3+2x^2+3x-6
 logarithm/622632: which among log (base 13)169 and log (base 23)521 is greater ?(with out using calculator) thanks 1 solutions Answer 391483 by lwsshak3(6519)   on 2012-06-21 01:03:35 (Show Source): You can put this solution on YOUR website!which among log (base 13)169 and log (base 23)521 is greater Using exponential form of logs: Base raised to log of number=number for first case 13^x=169 x=2 which is the log of 169 base 13 .. for 2nd case 23^x=521 x=<2 which is the log of 529 base 23 (if x=2, the number=23^2=529, so x<2) The log of the first case>log of 2nd case
 Percentage-and-ratio-word-problems/622571: A 45 gallon barrel contains a mixture with a concentration of 30%. How much of this mixture must be withdrawn and replaced by 100% concentrate to bring the mixture up to 50% concentration?1 solutions Answer 391450 by lwsshak3(6519)   on 2012-06-20 20:26:30 (Show Source): You can put this solution on YOUR website!A 45 gallon barrel contains a mixture with a concentration of 30%. How much of this mixture must be withdrawn and replaced by 100% concentrate to bring the mixture up to 50% concentration? ** let x=mixture to be withdrawn and replaced 45-x=remaining 30% mixture 30%(45-x)+100%x=50%*45 13.5-.3x+x=22.5 .7x=9 x≈12.86 gallons of mixture to be withdrawn and replaced≈12.86
 Linear-equations/622573: Find the slope Intercept form for the lie satisfying the following condition for x-intercept 2, y-intercept 2/31 solutions Answer 391449 by lwsshak3(6519)   on 2012-06-20 20:11:41 (Show Source): You can put this solution on YOUR website!Find the slope Intercept form for the lie satisfying the following condition for x-intercept 2, y-intercept 2/3 Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept ** 2 given points: (2,0) and (0,2/3) slope=∆y/∆x=(2/3-0)/(0-2)=(2/3)/-2=-2/6=-1/3 equation: y=-x/3+b y=-x/3+2/3
 Trigonometry-basics/622016: please help me solve for all 2cos(x/2)+1 =01 solutions Answer 391448 by lwsshak3(6519)   on 2012-06-20 19:51:48 (Show Source): You can put this solution on YOUR website!solve for all 2cos(x/2)+1 =0 2cos(x/2)=-1 cos(x/2)=-1/2 x/2=2π/3 x=π/3+2πn, n=integer and x/2=4π/3 x=2π/3+2πn, n=integer
 Trigonometry-basics/622497: please help me find the exact values of: sin2u given: sinu= -4/5 and pi < u 3pi/21 solutions Answer 391409 by lwsshak3(6519)   on 2012-06-20 16:28:25 (Show Source): You can put this solution on YOUR website!find the exact values of: sin2u given: sinu= -4/5 and pi < u 3pi/2 sinu=-4/5 in quadrants III and IV where sin<0 since quadrant IV is not in the domain,(π,3π/2), reference angle is in quadrant III sinu=-4/5=opposite side/hypotenuse adjacent side=3 since you are working with a 3-4-5 right triangle cosu=-3/5 in quadrants III where cos<0 sin 2u=2sinucosu =2*-4/5*-3/5 =24/25
 Trigonometry-basics/622024: please help me find the exact value of tan2u given: sinu= -4/5 & pi < u < 3pi/21 solutions Answer 391408 by lwsshak3(6519)   on 2012-06-20 16:10:52 (Show Source): You can put this solution on YOUR website!find the exact value of tan2u given: sinu= -4/5 & pi < u < 3pi/2 ** sinu=-4/5 in quadrants III and IV where sin<0 since quadrant IV is not in the domain,(π,3π/2), reference angle is in quadrant III sinu=-4/5=opposite side/hypotenuse adjacent side=3 since you are working with a 3-4-5 right triangle tanu=opposite side/adjacent side=4/3 in quadrant III where tan>0 tan2u=2tanu/(1-tan^2u)=2*4/3/(1-(4/3)^2)=(8/3)/(1-16/9)=(8/3)/(-7/9)=-72/21
 Trigonometry-basics/622255: Find all values of θ, if θ is in the interval [0°, 360°) and has the following function value sinθ = - sqrt3/2 1 solutions Answer 391401 by lwsshak3(6519)   on 2012-06-20 15:49:55 (Show Source): You can put this solution on YOUR website!Find all values of θ, if θ is in the interval [0°, 360°) and has the following function value sinθ = - sqrt3/2 ** sinθ = -√3/2 in quadrants III and IV where sin<0 reference angle=60º θ=240º and 300º