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# Recent problems solved by 'Alan3354'

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 Polynomials-and-rational-expressions/376959: What is the solution to the problem L=2.43*4^0.3326?1 solutions Answer 268038 by Alan3354(30993)   on 2010-11-28 12:36:53 (Show Source): You can put this solution on YOUR website!Use a calculator.
 Quadratic-relations-and-conic-sections/376961: the equation below is the circle. what is the x-coordinate of the center of the circle? (x-6)^2+(y+5)^2=15^21 solutions Answer 268037 by Alan3354(30993)   on 2010-11-28 12:36:09 (Show Source):
 Travel_Word_Problems/376958: If it took exactly 105 seconds for the train to pass, at how many miles per hour was the train traveling?1 solutions Answer 268036 by Alan3354(30993)   on 2010-11-28 12:35:31 (Show Source): You can put this solution on YOUR website!It depends on the length of the train.
 Average/376885: Flying east between two cities, a planes speed is 380 mph. On the return trip, it flies at 420 mph. Find the average speed over the whole round trip.(the answer is not 400 mph)1 solutions Answer 268028 by Alan3354(30993)   on 2010-11-28 09:56:55 (Show Source): You can put this solution on YOUR website!d = rt t = d/r t = d/380 + d/420 = 21/7980 + 19/7980 = 2/399 for distance of 2d r = 399 mph average --------------------- Average round trip rate = 2r1*r2/(r1 + r2) The average speed is always less than the average of the 2 speeds, because more time is spent moving at the lower speed. If the times were equal, it would be the average of the 2 rates. --------------------- This is the basis of the Michelson-Morley experiment which disproved the existence of "the ether", in the 1940's, I think. ------------------- I looked it up, it was in 1887.
 Exponential-and-logarithmic-functions/376799: solve for x. 2+3^x=61 solutions Answer 268022 by Alan3354(30993)   on 2010-11-28 01:56:41 (Show Source): You can put this solution on YOUR website!solve for x. 2+3^x=6 ----------- 3^x = 4 x*log(3) = log(4) x = log(4)/log(3) x =~ 1.2619
 logarithm/376796: solve. logx(that is base x) 9/16(that is a fraction)=21 solutions Answer 268021 by Alan3354(30993)   on 2010-11-28 01:52:13 (Show Source): You can put this solution on YOUR website!solve. logx(that is base x) 9/16(that is a fraction)=2 x^2 = 9/16 x = 3/4 -----------
 Exponential-and-logarithmic-functions/376798: Write 2^3=8 in logarithmic form.1 solutions Answer 268020 by Alan3354(30993)   on 2010-11-28 01:50:13 (Show Source):
 Systems-of-equations/376791: Hi - my tutor is out of town and am stuck on this problem. Solve this sytem of equations for real number solutions: y=x^2-4 and x^2 = y^2 = 10 So far I have done this: x^2 + y^2 = 10 -X^2 = y = -4 y^2 + y = 6 y^2 + y - 6 = 0 (y-2) (y + 3) = 0 y-2 = 0 y + 3 = 0 Y = 2 and y = -3 am now stuck Thanks for your assistance Carol1 solutions Answer 268016 by Alan3354(30993)   on 2010-11-28 01:12:42 (Show Source): You can put this solution on YOUR website!y=x^2-4 and x^2 = y^2 = 10 -------------- So far I have done this: x^2 + y^2 = 10 -X^2 = y = -4 y^2 + y = 6 y^2 + y - 6 = 0 (y-2) (y + 3) = 0 y-2 = 0 y + 3 = 0 Y = 2 and y = -3 am now stuck ------------ y=x^2-4 and x^2 + y^2 = 10 Sub for y x^2 + (x^2-4)^2 = 10 x^4 -7x^2 + 6 = 0 (x^2 - 6)*(x^2 - 1) = 0 x = ± sqrt(6) ; y = 2 x = ± 1 ; y = -3
 Linear-equations/376511: The line y=2/3x+5 has a slope of m=2/3.What is the slope of a line parallel to this line?1 solutions Answer 267891 by Alan3354(30993)   on 2010-11-27 14:10:25 (Show Source): You can put this solution on YOUR website!2/3 All parallel lines have the same slope.
 Radicals/376510: how do i simplify ? its not a perfect square and im confused on how to do this? 1 solutions Answer 267849 by Alan3354(30993)   on 2010-11-27 12:21:04 (Show Source): You can put this solution on YOUR website!how do i simplify ? -------- = =
 Linear-systems/376493: solve for x x/4+x/5=9/201 solutions Answer 267848 by Alan3354(30993)   on 2010-11-27 11:31:10 (Show Source): You can put this solution on YOUR website!Hint: multiply thru by 20
 Linear-equations/376492: What would the equation of the line be with slope m=2 and y intercept b=-1?1 solutions Answer 267847 by Alan3354(30993)   on 2010-11-27 11:27:28 (Show Source): You can put this solution on YOUR website!y = 2x - 1
 Exponential-and-logarithmic-functions/376424: define 2^3^2 to be 2^(3^2). is 2^3^2 the same with 2^(3^2)? 1 solutions Answer 267830 by Alan3354(30993)   on 2010-11-27 09:58:44 (Show Source): You can put this solution on YOUR website!define 2^3^2 to be 2^(3^2). is 2^3^2 the same with 2^(3^2)? ---------- 2^(3^2) is the same as 2^(3^2) ??
 Square-cubic-other-roots/376436: ((^5)(3^9))21 solutions Answer 267828 by Alan3354(30993)   on 2010-11-27 09:47:59 (Show Source): You can put this solution on YOUR website!((^5)(3^9))2 ---------------- What is (^5) ?
 Numbers_Word_Problems/376441: seventy-one sum of the four is equal to 1 solutions Answer 267827 by Alan3354(30993)   on 2010-11-27 09:46:49 (Show Source): You can put this solution on YOUR website!Sum of what 4?
 Linear-equations/376360: y=2x+4;(-1,3),(0,4),(2,8) determine whether or not the given ordered pairs are solutions of the given equation. How do I do this? I would appreciate an explanation of how to do this.1 solutions Answer 267801 by Alan3354(30993)   on 2010-11-26 23:50:57 (Show Source): You can put this solution on YOUR website!Sub the x and y values of each point into the equation, and see if the 2 sides are equal.
 Miscellaneous_Word_Problems/376394: if y varies directly as x^2 and inversely as m and y=2 when x=7 and m=9 find y when x=4 and m=61 solutions Answer 267799 by Alan3354(30993)   on 2010-11-26 23:46:24 (Show Source): You can put this solution on YOUR website! if y varies directly as x^2 and inversely as m and y=2 when x=7 and m=9 find y when x=4 and m=6 ---------- k = 18/49 ------------ @ x=7, m=9: y = (18/49)*16/6 y = 48/49
 Polynomials-and-rational-expressions/376383: Evaluate each polynomial for x = 3 and for x = −3. 2x^2 − 3x + 7 I forgot to add the ^ symbol in the original posting so I am adding it now. 1 solutions Answer 267789 by Alan3354(30993)   on 2010-11-26 22:56:17 (Show Source): You can put this solution on YOUR website!Evaluate each polynomial for x = 3 and for x = −3. Sub 3 for each x = ----------
 Complex_Numbers/376282: Complete the following equations: 1. (−[1/2] + [(√3)/2]i)3=_____+_____i 2. (−[1/2] − [(√3)/2]i)3=_____+_______i 3. (−[1/2] + [(√3)/2]i)3000=_____ +_____ i (−[1/2] − [(√3)/2]i)3000=_____+_____i I dont understand how to do these...1 solutions Answer 267763 by Alan3354(30993)   on 2010-11-26 20:25:39 (Show Source): You can put this solution on YOUR website!Complete the following equations: 1. (−[1/2] + [(√3)/2]i)3=_____+_____i Is the 3 the exponent? like that? = (1*cis(300))^3 = 1cis(900) = -1 ----------------- 2. (−[1/2] − [(√3)/2]i)3=_____+_______i 3. (−[1/2] + [(√3)/2]i)3000=_____ +_____ i (−[1/2] − [(√3)/2]i)3000=_____+_____i I dont understand how to do these...
 Miscellaneous_Word_Problems/376260: Jack usually mows his lawn in 7 hours. Marilyn can mow the same yard in 5 hours. How much time would it take for them to mow the lawn together? The directions say "simplify your answer. type an integer, proper fraction, or mixed number."1 solutions Answer 267718 by Alan3354(30993)   on 2010-11-26 18:38:31 (Show Source): You can put this solution on YOUR website!Use product/sum 7*5/(7+5) = 35/12 hours = 2 hours 55 minutes
 percentage/376306: A clothing store purchased jackets for \$40 each and put them on sale for \$70. what was the percent markup on each jacket? Show your work.1 solutions Answer 267717 by Alan3354(30993)   on 2010-11-26 18:36:11 (Show Source): You can put this solution on YOUR website!A clothing store purchased jackets for \$40 each and put them on sale for \$70. what was the percent markup on each jacket? Show your work. ----------- The markup is \$30 30/40 = 75%
 Proportions/376303: write the sentence as a proportion then solve for x. x is to 8 as 5 is to 91 solutions Answer 267716 by Alan3354(30993)   on 2010-11-26 18:31:42 (Show Source): You can put this solution on YOUR website!x:8::5:9 9x = 40 x = 40/9
 Graphs/376305: Graph (2x-40)+11 solutions Answer 267715 by Alan3354(30993)   on 2010-11-26 18:31:03 (Show Source): You can put this solution on YOUR website!That's not an equation.
 Quadratic_Equations/376238: A carpenter is building a rectangular room with a fixed perimeter of 40 ft. What dimensions would yield the maximum area? What is the maximum area?1 solutions Answer 267714 by Alan3354(30993)   on 2010-11-26 18:30:29 (Show Source): You can put this solution on YOUR website!10 by 10 100 sq feet
 Polynomials-and-rational-expressions/376264: 23 x 24 = 23+4 = 27 =1281 solutions Answer 267712 by Alan3354(30993)   on 2010-11-26 18:29:36 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Rate-of-work-word-problems/376233: One painter can paint a house in 40 hours and another painter can paint the same house in 35 hours. How long will it take to paint the house if they work together.1 solutions Answer 267644 by Alan3354(30993)   on 2010-11-26 13:35:50 (Show Source): You can put this solution on YOUR website!1 painter does 1/40 house per hour The other does 1/35 per hour Together they do 1/40 + 1/35 house per hour = (35+40)/35*40 = 75/1400 = 3/56 3/56 houses per hour --> 56/3 hours/house --------------------
 Quadratic_Equations/376103: Hi can somebody please help with the below, and be as kind as to talk me through the steps, i am totally confused with this. Find dy=dx as a function of x and y when: i) x^2y^3 - x^2 + 3y - 3 = 0 ii)(1 - x^2) tan^-1 y = 3 Really appreciate this. Thanks 1 solutions Answer 267603 by Alan3354(30993)   on 2010-11-26 09:13:03 (Show Source): You can put this solution on YOUR website!Find dy/dx as a function of x and y when: i) x^2y^3 - x^2 + 3y - 3 = 0 Differentiate implicitly 2x*dx*y^3 +x^2*3y^2*dy - 2xdx + 3dy = 0 dx*(2xy^3 - 2x) + dy*(x^2*3y^2 + 3) = 0 dy*(3x^2y^2 + 3) = -dx(2xy^3 - 2x) dy/dx = -2(xy^3 - x)/(3x^2y^2 + 3) ------------------------------------ ii)(1 - x^2) tan^-1 y = 3 Use atan for arctan, easier to type atan(y) - x^2*atan(y) = 3 dy/(1+y^2) - (2x*dx*atan(y) + x^2*dy/(1+y^2) = 0 Multiply thru by (1+y^2) dy - 2x*dx*atan(y)*(1+y^2) - x^2*dy = 0 (1-x^2)dy = 2x*atan(y)*(1+y^2)dx dy/dx = 2x*atan(y)*(1+y^2)/(1-x^2) with y <> ± 1
 Circles/376195: Find the radius of the circle with these three points: (-6,-7),(-4,-9),(-8,-9) and center (-6,-9)1 solutions Answer 267601 by Alan3354(30993)   on 2010-11-26 09:11:40 (Show Source): You can put this solution on YOUR website!Find the radius of the circle with these three points: (-6,-7),(-4,-9),(-8,-9) and center (-6,-9) ------------ The distance from (-6,-9) to (-6,-7) = 2 units radius = 2
 Geometric_formulas/376109: find the angles between the lines A, x+2y=2 and 2x+4y=4 b,x+y=5 and x-y=4 c, x+2y=2 and 2x+y=3 2 find the distance between the lines a,3x+2y=5 and -3x-2y=6 b, 5y=x and y=5x 1 solutions Answer 267595 by Alan3354(30993)   on 2010-11-26 09:01:12 (Show Source): You can put this solution on YOUR website! find the angles between the lines A, x+2y=2 and 2x+4y=4 That's the same line. The 2nd eqn is 2x the 1st. ------------- b,x+y=5 and x-y=4 The 2 lines are parallel. ------------------------ c, x+2y=2 and 2x+y=3 x+2y=2 --> m = -1/2: arctan(-1/2) = -26.565º with the x-axis 2x+y=3 --> m = -2: arctan(-2) = -63.4349º with the x-axis 36.7º between the 2 lines -------------------------- 2 find the distance between the lines a,3x+2y=5 and -3x-2y=6 b, 5y=x and y=5x
 Graphs/376146: y>-2 x≥6 Graph the system of inequalities.1 solutions Answer 267591 by Alan3354(30993)   on 2010-11-26 08:55:29 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk.com