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 Sequences-and-series/631110: a bicycle wheel rotates 300 times in a minute as long as the rider is pedaling. If the rider stops pedaling, the wheel starts to slow down. Each minute it will rotate only 2/3 as many times as in the preceding minute. how many times will the wheel rotate in the 4th minute after the rider's feet leaves the pedals? Round your answer to the nearest unit.1 solutions Answer 397348 by Alan3354(30993)   on 2012-07-23 14:10:22 (Show Source): You can put this solution on YOUR website!a bicycle wheel rotates 300 times in a minute as long as the rider is pedaling. If the rider stops pedaling, the wheel starts to slow down. Each minute it will rotate only 2/3 as many times as in the preceding minute. how many times will the wheel rotate in the 4th minute after the rider's feet leaves the pedals? Round your answer to the nearest unit. ------------- The 1st minute it rotates 300*(2/3) = 200 revs The 2nd it's 2/3 times that, etc --> 300*(2/3)^4 = 4800/81 =~ 59 revs
 Linear-equations/631121: Having trouble converting a standard equation into y-intercept form. the equation is 4x=15-x No y value is given. Please help1 solutions Answer 397345 by Alan3354(30993)   on 2012-07-23 14:06:37 (Show Source): You can put this solution on YOUR website!Having trouble converting a standard equation into y-intercept form. the equation is 4x=15-x No y value is given. ------------ 4x=15-x x = 3 is the equation. It's parallel to the y-axis, often called vertical. There is no y-intercept since it's parallel. x = 3 or x - 3 = 0 is all there is.
 Permutations/630972: My question has to do with gambling. Lets say i chose 5 football matches. There is what we call combination i.e accumulation of matches for higher returns. So lets say i wanna combine 3 matches together out of the 5 matches, in how many different combo can i achieve this without repetition? Thank you.1 solutions Answer 397240 by Alan3354(30993)   on 2012-07-22 23:06:33 (Show Source): You can put this solution on YOUR website!Lets say i chose 5 football matches. There is what we call combination i.e accumulation of matches for higher returns. So lets say i wanna combine 3 matches together out of the 5 matches, in how many different combo can i achieve this without repetition? ---------------- The 1st is 1 of 5, then 1 of 4, 1 of 3 --> 5*4*3 = 60 (if I understood correctly)
 Expressions-with-variables/630963: elimination method 9x-7y=120.5 -36+28y=-4821 solutions Answer 397237 by Alan3354(30993)   on 2012-07-22 22:47:56 (Show Source): You can put this solution on YOUR website!elimination method 9x-7y=120.5 -36+28y=-482 ---------- The 2nd eqn is -4 times the 1st one. --> dependent no unique solution
 Linear-equations/630905: Need help. Use the elimination method to solve the system of equations. a+7b=16 a+4b=7 Can you please show work for the answer.1 solutions Answer 397236 by Alan3354(30993)   on 2012-07-22 22:46:45 (Show Source): You can put this solution on YOUR website!Use the elimination method to solve the system of equations. a+7b=16 a+4b=7 ---------- a+7b=16 a+4b=7 -------- Subtract 3b = 9 b = 3 etc
 Graphs/630942: y=3/4x+31 solutions Answer 397235 by Alan3354(30993)   on 2012-07-22 22:44:25 (Show Source): You can put this solution on YOUR website!y=3/4x+3 ---------- And? Do you have a question?
 Travel_Word_Problems/630956: Bill walks 6.25 km in 1 hour and 15 minutes, then runs 9 km in 45 minutes. What is the Bill's average rate of speed for the distance he traveled? 1 solutions Answer 397234 by Alan3354(30993)   on 2012-07-22 22:43:16 (Show Source): You can put this solution on YOUR website!Bill walks 6.25 km in 1 hour and 15 minutes, then runs 9 km in 45 minutes. What is the Bill's average rate of speed for the distance he traveled? --------- Add the distances, add the times. ---- d = r*t r = d/t
 Quadratic_Equations/630962: if discriminant is greater than 0,then two solutions are present.which one of the two solutions is preferable ? and why ?1 solutions Answer 397233 by Alan3354(30993)   on 2012-07-22 22:42:20 (Show Source): You can put this solution on YOUR website!if discriminant is greater than 0,then two solutions are present.which one of the two solutions is preferable ? and why ? ------------ 1st I've heard about that.
 logarithm/630964: Write the expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places) log8 (70)1 solutions Answer 397232 by Alan3354(30993)   on 2012-07-22 22:41:24 (Show Source): You can put this solution on YOUR website!log8 (70) -------- =~ 2.0431
 Linear-systems/630951: d=76 feet, t=19 seconds r= ?1 solutions Answer 397231 by Alan3354(30993)   on 2012-07-22 22:31:31 (Show Source): You can put this solution on YOUR website!d=76 feet, t=19 seconds r= ? ---------- r = d/t
 expressions/630958: I have just begun and want to make sure I'm doing this right I get a little confused with the plus and minus back and forth -5(a + 3b) – 2(4a – 4b) 1 solutions Answer 397230 by Alan3354(30993)   on 2012-07-22 22:28:47 (Show Source): You can put this solution on YOUR website! -5(a + 3b) – 2(4a – 4b) = -5a - 15b - 8a + 8b = -13a - 7b
 Mixture_Word_Problems/630882: a yard that backs onto a river so that only three sides to be fenced and you have 68m of fencing , how much fencing do u need?1 solutions Answer 397221 by Alan3354(30993)   on 2012-07-22 20:45:24 (Show Source): You can put this solution on YOUR website!a yard that backs onto a river so that only three sides to be fenced and you have 68m of fencing , how much fencing do u need? -------------------- How big is the yard?
 Volume/630922: How many gallons of water are in a pond that measures 25 ft long, by 25 ft wide, by 5 ft deep?1 solutions Answer 397220 by Alan3354(30993)   on 2012-07-22 20:43:57 (Show Source): You can put this solution on YOUR website!How many gallons of water are in a pond that measures 25 ft long, by 25 ft wide, by 5 ft deep? ---------- Vol = 25*25*5 cubic ft 1 cu ft =~ 7.48 gallons
 Inequalities/630921: Please help solve y+13/15>-2/31 solutions Answer 397219 by Alan3354(30993)   on 2012-07-22 20:42:41 (Show Source): You can put this solution on YOUR website!y+13/15>-2/3 -- y > -2/3 - 13/15 y > -10/15 - 13/15 y > -23/15
 Percentage-and-ratio-word-problems/630933: You must show two equations you need to write as well as all steps to solve the problem. a chemist has two acid solutions in stock: one that is 40% solution and the other 60% solution. How much of each solution should be mixed to obtain 100ml of a 45% solution? (show work)1 solutions Answer 397218 by Alan3354(30993)   on 2012-07-22 20:29:27 (Show Source): You can put this solution on YOUR website!a chemist has two acid solutions in stock: one that is 40% solution and the other 60% solution. How much of each solution should be mixed to obtain 100ml of a 45% solution? -------------------- f = amount of 40% s = amount of 60% ----------- f + s = 100 (total solution) 40f + 60s = 45*100 (total acid) -----
 Travel_Word_Problems/630885: rene is going to the late. it is 60 miles away . and she is going 40 miles pre hour. how long will it take her to get there?1 solutions Answer 397207 by Alan3354(30993)   on 2012-07-22 19:29:43 (Show Source): You can put this solution on YOUR website!rene is going to the late. it is 60 miles away . and she is going 40 miles pre hour. how long will it take her to get there? ------------ d = r*t t = d/r
 Surface-area/630894: How do you find the volume of a cylinder whose height is 2 m and whose base has an area of 9 pi m square1 solutions Answer 397205 by Alan3354(30993)   on 2012-07-22 19:28:22 (Show Source): You can put this solution on YOUR website!How do you find the volume of a cylinder whose height is 2 m and whose base has an area of 9 pi m square -------------- Vol = area*height = 18 pi cubic meters
 Trigonometry-basics/630900: liam's grandfather's clock has a pendulum that moves from its central position at rest according to the trigonometris function P(t)-3.5sin(pi/2 t) where t represents the time in seconds does it take the pendulum to complete one full cycle from rest at the center to the left and then to the right and back to the rest?? (1)1 second (2)2 second (3)3.5 second (4)4 seconds1 solutions Answer 397204 by Alan3354(30993)   on 2012-07-22 19:27:08 (Show Source): You can put this solution on YOUR website!liam's grandfather's clock has a pendulum that moves from its central position at rest according to the trigonometris function P(t)-3.5sin(pi/2 t) where t represents the time in seconds does it take the pendulum to complete one full cycle from rest at the center to the left and then to the right and back to the rest?? -------- 4 seconds
 Trigonometry-basics/630910: the voltage of E of an alternating current electrical circuit can be represented by the sinusoidal function E=220cos(pi t) where E is measured in volts and t is measured in seconds. how long does it take the alternating current to complete one cycle? (1)1 second (2)2 second (3)pi seconds (4)220 seconds1 solutions Answer 397201 by Alan3354(30993)   on 2012-07-22 19:19:21 (Show Source): You can put this solution on YOUR website!the voltage of E of an alternating current electrical circuit can be represented by the sinusoidal function E=220cos(pi t) where E is measured in volts and t is measured in seconds. how long does it take the alternating current to complete one cycle? ---------- 2 seconds
 Travel_Word_Problems/630907: How long would it take for a falling skydiver going 210mph to travel 6 miles?1 solutions Answer 397200 by Alan3354(30993)   on 2012-07-22 19:08:22 (Show Source): You can put this solution on YOUR website!How long would it take for a falling skydiver going 210mph to travel 6 miles? ----------- d = r*t t = d/r
 Expressions-with-variables/630859: Find all values for which x-5/x-3 is undefined.1 solutions Answer 397199 by Alan3354(30993)   on 2012-07-22 17:16:03 (Show Source): You can put this solution on YOUR website!Find all values for which x-5/x-3 is undefined. -------- There's one. It's what makes the DEN zero.
 Radicals/630865: Please show me how to rationalize the denominator: 1 solutions Answer 397198 by Alan3354(30993)   on 2012-07-22 17:15:00 (Show Source): You can put this solution on YOUR website!Please show me how to rationalize the denominator: Multiply NUM and DEN by sqrt(3) =
 Permutations/630852: 5 students are trying out for a team. only 3 students are needed. in how may ways can 3 students be chosen from the 5?1 solutions Answer 397197 by Alan3354(30993)   on 2012-07-22 17:02:18 (Show Source): You can put this solution on YOUR website!5 students are trying out for a team. only 3 students are needed. in how may ways can 3 students be chosen from the 5? -------- 5*4*3 = 60
 Expressions-with-variables/630861: Please find the LCD for: x-3/x^2-x and 2x+7/3x-31 solutions Answer 397196 by Alan3354(30993)   on 2012-07-22 17:01:30 (Show Source): You can put this solution on YOUR website!Please find the LCD for: x-3/x^2-x and 2x+7/3x-3 ---------- Factor both denominators.
 Travel_Word_Problems/630857: If I walk 2.4 miles in 40 minutes, how fast am I walking? Please include the calculations. 1 solutions Answer 397193 by Alan3354(30993)   on 2012-07-22 16:52:09 (Show Source): You can put this solution on YOUR website!If I walk 2.4 miles in 40 minutes, how fast am I walking? Please include the calculations. ------------- 2.4/40 = 0.06 mi/minute
 �t�e�s�t/630840: Pre-Calculus. Linear Velocity Pre-calculus/Trig. "Linear velocity" Suppose that there are two carousels at the same amusement park. Carousel A has a radius of 5m and rotates with an angular velocity w=pi/8(rad/sec). Carousel B has radius 7.5 and w=pi/9(rad/sec). Riding a horse on which of these would cause a park guest to experience the greatest linear velocity? 1 solutions Answer 397187 by Alan3354(30993)   on 2012-07-22 15:39:51 (Show Source): You can put this solution on YOUR website!Suppose that there are two carousels at the same amusement park. Carousel A has a radius of 5m and rotates with an angular velocity w=pi/8(rad/sec). Carousel B has radius 7.5 and w=pi/9(rad/sec). Riding a horse on which of these would cause a park guest to experience the greatest linear velocity? --------------------- B is larger, and rotates faster, so it's LV is greatest.
 Equations/630819: If b=5 inches and h=2 inches, what is the area of a rectangle? 1 solutions Answer 397185 by Alan3354(30993)   on 2012-07-22 14:42:31 (Show Source): You can put this solution on YOUR website!If b=5 inches and h=2 inches, what is the area of a rectangle? ------- Area = b*h sq inches
 Polynomials-and-rational-expressions/630795: can you help me by adding this rational expression (2) + (3)/(2x + 1)1 solutions Answer 397174 by Alan3354(30993)   on 2012-07-22 13:39:33 (Show Source): You can put this solution on YOUR website!can you help me by adding this rational expression (2) + (3)/(2x + 1) = 5/(2x + 1)
 �t�e�s�t/630687: find the volume of the bounded area of y=x^2 and y=2-x^2 about x=21 solutions Answer 397165 by Alan3354(30993)   on 2012-07-22 12:56:49 (Show Source): You can put this solution on YOUR website!find the volume of the bounded area of y=x^2 and y=2-x^2 about x=2 ----------------- Find the area under y = 2-x^2 and above the x-axis: INT = 2x - x^3/3 Evaluate from -1 to 1 @1 --> 2 - 1/3 @-1 --> -2 + 1/3 -------------- Subtract Area = 4 -2/3 = 10/3 ====================== From that, subtract the area under y = x^2 from -1 to +1 [-1 and +1 are the intersections of the 2 curves] ---------- INT = x^3/3 Area = 1/3 - (-1/3) = 2/3 ======================== Area between curves = 8/3 sq units The 2 curves are symmetrical, so the centroid of the area is (0,1) Use the Theorem of Pappus to find the volume: Vol = 2pi*distance to centroid*area Vol = 2pi*2*8/3 cubic units Vol = 32pi/3 cubic units =~ 33.51 CU
 Travel_Word_Problems/630686: if a car traveling at a rate of 55 mi/hr ,how many minutes would it to take to travel 2.5? 1 solutions Answer 397164 by Alan3354(30993)   on 2012-07-22 12:37:04 (Show Source): You can put this solution on YOUR website!if a car traveling at a rate of 55 mi/hr ,how many minutes would it to take to travel 2.5? ------------------- 60 mi/hr = 1 mi/minute 55 mi/hr = 55/60 mi/min = 11/12 mi/min -------------- d = r*t t = d/r = 2.5/(11/12) = 30/11 minutes =~ 2.727 minutes
 Polynomials-and-rational-expressions/630736: 1.(x+y+1)² 2.(x+y-1)² 3.(x-y-1)² 4.(-x-y-1)² question: what is the direct of switching the + sign to -sign on the product? 1 solutions Answer 397163 by Alan3354(30993)   on 2012-07-22 12:28:48 (Show Source): You can put this solution on YOUR website!1.(x+y+1)² 2.(x+y-1)² 3.(x-y-1)² 4.(-x-y-1)² question: what is the direct of switching the + sign to -sign on the product? ---------- 1. = x^2 + 2xy + y^2 + 2x + 2y + 1 ------------- Multiply the others, compare them #4 = #1