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# Recent problems solved by 'Alan3354'

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 Finance/287920: A car traveling 100 km/h is 70 m behind a truck traveling 75 km/h. How long will it take the car to reach the truck? 1 solutions Answer 208642 by Alan3354(31538)   on 2010-04-02 13:38:55 (Show Source): You can put this solution on YOUR website!A car traveling 100 km/h is 70 m behind a truck traveling 75 km/h. How long will it take the car to reach the truck? ---------------- The car is gaining on the truck at 25 kph (100-75) = 25000 meters/hour d = rt t = d/r = 70/25000 hours = 7/2500 hours You didn't specify units = 7/60,000 days
 Travel_Word_Problems/287922: Ike and Joe ran the same distance but took different routes. Ike ran 3 blocks east and 7 blocks south. Joe ran 4 blocks west and then turned north. How far north did Joe run? I cannot remember, for the life of me, how to set up and equation for this.1 solutions Answer 208641 by Alan3354(31538)   on 2010-04-02 13:34:25 (Show Source): You can put this solution on YOUR website!An equation for what?
 Miscellaneous_Word_Problems/287847: Rain falls all night over a lake. The total rainfall is 50 litres per square meter. By how much does the surface of the lake rise? A .05m B .5m C 5m D 50m E none of these1 solutions Answer 208626 by Alan3354(31538)   on 2010-04-02 12:03:04 (Show Source): You can put this solution on YOUR website!Rain falls all night over a lake. The total rainfall is 50 litres per square meter. By how much does the surface of the lake rise? A .05m B .5m C 5m D 50m E none of these 0 solutions ---------------- 1 liter = 1000 cc 1 sq meter = 10000 sq cm --------------- 50000 cm^3/10000 cm^2 = 5 cm = 0.05 meters A
 Complex_Numbers/281212: How do I write 6i divided by 1-2i as a complex number in standard form? 6i/1-2i1 solutions Answer 208623 by Alan3354(31538)   on 2010-04-02 12:00:07 (Show Source): You can put this solution on YOUR website!How do I write 6i divided by 1-2i as a complex number in standard form? -------------- Get the i term out of the denominator. Multiply NUM and DEN by the conjugate of the DEN 1+2i ---------- 6i/1-2i = 6i*(1+2i)/(1-2i)*(1+2i) = (6i-12)/(1+4) = (-12+6i)/5
 test/287897: I believe this was the last problem I was stuck on any help would be appreciated Find the equation for the line passing through the origin and perpendicular to y = ½ x – 2. Eric1 solutions Answer 208617 by Alan3354(31538)   on 2010-04-02 11:46:07 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 13 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note.
 Finance/287894: Hello I am stuck on another homework question that I just cant figure out any help wouldbe greatly appreciated. Find the equation for the line passing through (2,1) with slope 5/2. Eric1 solutions Answer 208616 by Alan3354(31538)   on 2010-04-02 11:45:44 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 13 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note.
 logarithm/287867: sorry, really i need help with this, please: 4+ log base5 3x= 6e1 solutions Answer 208600 by Alan3354(31538)   on 2010-04-02 10:19:29 (Show Source): You can put this solution on YOUR website!4+ log base5 3x= 6e -------------- 3x =~ 401887733.9 x =~ 133962578
 Complex_Numbers/287852: Find all the rational zeros of f(x)= 4x^3 - 3x^2 - 22x - 151 solutions Answer 208586 by Alan3354(31538)   on 2010-04-02 08:54:19 (Show Source): You can put this solution on YOUR website!15 is 1*15 or 3*5 Try those first, plus and minus.
 Sequences-and-series/287798: need help with the following sequence 18,-6,2,-2/31 solutions Answer 208559 by Alan3354(31538)   on 2010-04-01 23:03:01 (Show Source): You can put this solution on YOUR website!Help doing what?
 Geometry_Word_Problems/287584: Find the area of the circle inscribed inside the triangle with all three sides of length 12. 1 solutions Answer 208538 by Alan3354(31538)   on 2010-04-01 21:20:51 (Show Source): You can put this solution on YOUR website!Find the area of the circle inscribed inside the triangle with all three sides of length 12. --------------- s = 1/2 the perimeter = 18 radius of circle Area =~ 37.699 sq units
 Equations/287764: 2x-5y=7 8=x-4y I have to solve using substitution. My answer is (20,3)which means x=20 and y=3.1 solutions Answer 208525 by Alan3354(31538)   on 2010-04-01 20:35:36 (Show Source): You can put this solution on YOUR website!2x-5y=7 8=x-4y --> x = 4y + 8 Sub for x into 1st eqn: 2(4y+8) - 5y = 7 8y+16 - 5y = 7 3y = -9 y = -3 ------- x = -4 ------ I have to solve using substitution. My answer is (20,3)which means x=20 and y=3. Check (20,3) 2x-5y=7 2*20 - 5*3 =? 7 It doesn't. ------------- It's (-4,-3)
 Numbers_Word_Problems/287723: I need help find three consecutive odd integers whose squrares have a sum of 155 can you help me?1 solutions Answer 208518 by Alan3354(31538)   on 2010-04-01 20:15:27 (Show Source): You can put this solution on YOUR website!155/3 = almost 52 sqrt(52) = apx 7, the middle number --> 5, 7, 9 and -9, -7, -5
 Expressions-with-variables/287558: c=1/a-d solve for d1 solutions Answer 208437 by Alan3354(31538)   on 2010-04-01 15:28:19 (Show Source): You can put this solution on YOUR website!c = 1/a - d c + d = 1/a d = 1/a - c
 Miscellaneous_Word_Problems/287621: A jar contains 7 amoeba. The number of amoeba doubles every minute and it takes 40 minutes to ll the jar. How long (in minutes) does it take to ll 1/2 the jar? (a) 20 (b) 35 (c) It can't be determined from the given information (d) 40 - (139/7) (e) None of the above1 solutions Answer 208380 by Alan3354(31538)   on 2010-04-01 10:04:27 (Show Source): You can put this solution on YOUR website!A jar contains 7 amoeba. The number of amoeba doubles every minute and it takes 40 minutes to ll the jar. How long (in minutes) does it take to ll 1/2 the jar? (a) 20 (b) 35 (c) It can't be determined from the given information (d) 40 - (139/7) (e) None of the above --------------------- 39 minutes. e
 Angles/287602: i must name two angles that are coterminal with an angle of 200 degrees. i think the answer is 160 degrees and -520 degrees is this correct. thanks1 solutions Answer 208360 by Alan3354(31538)   on 2010-04-01 07:18:42 (Show Source): You can put this solution on YOUR website!It's -160. And 200 + n*360, n = 1,2,3...
 Linear-equations/287495: what point lies on the line represented by the equation 5x+4y=221 solutions Answer 208316 by Alan3354(31538)   on 2010-03-31 21:40:53 (Show Source): You can put this solution on YOUR website!A lot, an infinite number, in fact. Pick a value for x, find y.
 Distributive-associative-commutative-properties/287424: Five more than three times a number is 197. Find the number1 solutions Answer 208314 by Alan3354(31538)   on 2010-03-31 21:20:21 (Show Source): You can put this solution on YOUR website!64
 test/287427: In math we are doing two-step equations. Here is a problem I am stuck on: 9y+4+-14 5/13-2x=-8/13 Thank you!1 solutions Answer 208313 by Alan3354(31538)   on 2010-03-31 21:18:53 (Show Source): You can put this solution on YOUR website!There's no equal sign in the 1st one. There's no y in the 2nd one.
 Trigonometry-basics/287459: Identify the amplitude, if it exists, and the period of each function. y=3 sin θ1 solutions Answer 208312 by Alan3354(31538)   on 2010-03-31 21:15:33 (Show Source): You can put this solution on YOUR website!Amplitude = 3 period = 2pi
 Rectangles/287446: i need the length,width,area,and perimeter..of a rectangle with the area of24 square meters and a perimeter of 96 meters1 solutions Answer 208294 by Alan3354(31538)   on 2010-03-31 19:46:39 (Show Source): You can put this solution on YOUR website!What have you tried?
 logarithm/287434: write a number in each number sentence tomake it true. 40-20=50-___1 solutions Answer 208292 by Alan3354(31538)   on 2010-03-31 19:38:57 (Show Source): You can put this solution on YOUR website!30
 Polynomials-and-rational-expressions/287439: The product of two consecutive negative integers is 12. what are the integers?1 solutions Answer 208291 by Alan3354(31538)   on 2010-03-31 19:35:57 (Show Source): You can put this solution on YOUR website!-4 and -3
 Radicals/287438: x=1=6 times the square root of x-91 solutions Answer 208290 by Alan3354(31538)   on 2010-03-31 19:18:50 (Show Source): You can put this solution on YOUR website!Too many equal signs.
 Quadratic-relations-and-conic-sections/287403: how do i solve parabolas?1 solutions Answer 208288 by Alan3354(31538)   on 2010-03-31 18:17:04 (Show Source): You can put this solution on YOUR website!Equations are solved. A parabola is a curve in a plane. It's the points that are equidistant from a point and a line. ----------------- Is it colder in the winter than it is in the city?
 Permutations/287420: How many different 5-digit codes can be made using the 10 digits if repetition is permitted?1 solutions Answer 208287 by Alan3354(31538)   on 2010-03-31 18:13:18 (Show Source):
 Graphs/287365: A line that passes through the point (−1,3) has a slope of 2. Find another point on the line.1 solutions Answer 208270 by Alan3354(31538)   on 2010-03-31 16:00:41 (Show Source): You can put this solution on YOUR website!A line that passes through the point (−1,3) has a slope of 2. Find another point on the line. Add 2 to y and 1 to x. --> (0,5)
 Miscellaneous_Word_Problems/287363: On the moon, the acceleration due to gravity is -1.6 meters per second per second. A stone is dropped from a cliff on the moon and hits the surface of the moon 20 seconds later. a)How far did it fall? b)What was its velocity at impact? 1 solutions Answer 208269 by Alan3354(31538)   on 2010-03-31 15:59:31 (Show Source): You can put this solution on YOUR website!On the moon, the acceleration due to gravity is -1.6 meters per second per second. A stone is dropped from a cliff on the moon and hits the surface of the moon 20 seconds later. a)How far did it fall? s = (1/2)at^2 s = 1.6*400/2 s = 320 meters ----------------- b)What was its velocity at impact? v = at v = 1.6*20 = 32 meters/sec
 Finance/287310: How do you solve 25x^4-61x^2+36=0? 1 solutions Answer 208266 by Alan3354(31538)   on 2010-03-31 15:49:01 (Show Source): You can put this solution on YOUR website!How do you solve 25x^4-61x^2+36=0? It's a quadratic in x^2 ----------------------- You can factor it: (25x^2 - 36)*(x^2 - 1) = 0 x^2 = 1 x = +1, -1 ----------- 25x^2 = 36 x = +6/5, -6/5
 Miscellaneous_Word_Problems/287344: Use a(t) = -32 ft/sec^2 as the acceleration due to gravity. (Neglect air resistance.) A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 48 feet above the ground. a) How many seconds after its release will the bag strike the ground? b) At what velocity will it strike the ground? 1 solutions Answer 208264 by Alan3354(31538)   on 2010-03-31 15:41:22 (Show Source): You can put this solution on YOUR website!Use a(t) = -32 ft/sec^2 as the acceleration due to gravity. (Neglect air resistance.) A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 48 feet above the ground. The height of the bag as a function of time in seconds is: h(t) = -16t^2 + 16t + 48 -------------------------- a) How many seconds after its release will the bag strike the ground? Find t when h(t) = 0 -16t^2 + 16t + 48 = 0 -t^2 + t + 3 = 0 (-t - 1)*(t -3) = 0 t = 3 seconds Ignore the t = -1 second ---------------- b) At what velocity will it strike the ground? vertical speed after release = 16 - 32t = 16 - 96 = -80 ft/sec (negative is the down direction)
 Geometry_Word_Problems/287273: An athlete runs 105cm south and 80cm west. How far is he from the starting point? 1 solutions Answer 208242 by Alan3354(31538)   on 2010-03-31 14:01:56 (Show Source): You can put this solution on YOUR website!An athlete runs 105cm south and 80cm west. How far is he from the starting point? --------- Use Pythagoras s =~ 132 cm -------------- That's about 52 inches. Some athlete
 Rational-functions/287314: how do i graph the function 2x^2+8x+41 solutions Answer 208241 by Alan3354(31538)   on 2010-03-31 13:58:05 (Show Source): You can put this solution on YOUR website!It's not possible, since it's not a function. It's a polynomial. If it were y = 2x^2+8x+4 then you could graph it. ----------------- Pick values for x and find y. Plot the points, draw a curve thru them.