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 Linear-equations/252452: if someone played at 10:30 to 1:00 how many hours and minutes is that?1 solutions Answer 184363 by Alan3354(30993)   on 2009-12-28 11:23:05 (Show Source): You can put this solution on YOUR website!if someone played at 10:30 to 1:00 how many hours and minutes is that? ---------- It's at least 2.5 hours, or 2hrs 30 minutes. It could be 14.5 hours, or 26.5 hours, or 2.5 + 12n hours, n = 0,1,2...
 Linear-equations/252451: which line is parallel to the graph of y=-1/2x+8?1 solutions Answer 184362 by Alan3354(30993)   on 2009-12-28 11:16:17 (Show Source): You can put this solution on YOUR website!which line is parallel to the graph of y=-1/2x+8? ---------------- All lines with the slope -1/2 (assuming -1/2x means (-1/2)x and not -1/(2x)). There are an infinite number of lines parallel to that. y = (-1/2)x + k, where k can be any value.
 Probability-and-statistics/252440: 1+3+5+7+9+11+13+15+17+19=100 now pick any 5 digits which make the sum of 50 ?1 solutions Answer 184358 by Alan3354(30993)   on 2009-12-28 10:55:57 (Show Source): You can put this solution on YOUR website!It's not possible. The sum of an odd number of odd numbers is always odd. There are combinations of 4 or 6 of the numbers that total 50, but not 5 of them.
 Miscellaneous_Word_Problems/252445: a painted 2 x 2 x 2 cube is cut into eight unit cubes . if you consider the total surface area of all eight small cubes , what fraction of this total surface area is painted a 1/8 b 1/4 c 1/2 d 5/8 e 3/41 solutions Answer 184355 by Alan3354(30993)   on 2009-12-28 10:34:17 (Show Source): You can put this solution on YOUR website!a painted 2 x 2 x 2 cube is cut into eight unit cubes . if you consider the total surface area of all eight small cubes , what fraction of this total surface area is painted a 1/8 b 1/4 c 1/2 d 5/8 e 3/4 ---------------- The surface area of a cube with sides s = 6s^2 The painted surface is 6*2^2 = 24 sq units The total area after cutting is 8*6*1^2 = 48 sq units So it's 1/2
 Miscellaneous_Word_Problems/252438: what is the distance traveled from 2400ft at a descent rate of 15ft/sec with a 5mph wind1 solutions Answer 184351 by Alan3354(30993)   on 2009-12-28 10:21:52 (Show Source): You can put this solution on YOUR website!what is the distance traveled from 2400ft at a descent rate of 15ft/sec with a 5mph wind? ---------------- If you mean how far horizontally while descending at that rate: 2400/15 = 160 seconds 5 mph = 26400 feet/hour = 440 feet/min = (22/3) feet/sec 160 sec * 22/3 ft/sec = 3520/3 feet lateral displacement =~ 1173 feet
Quadratic_Equations/249707: solve by graphing 4x^2-x+8=y or 4x^2-x+8=0 vertex= ( 1/8 , 127/16 )
1 solutions

Answer 184317 by Alan3354(30993)   on 2009-12-27 22:40:02 (Show Source):
You can put this solution on YOUR website!
4x^2-x+8=0
 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 : . The discriminant -127 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -127 is + or - . The solution is , or Here's your graph:

--------------------------
There are no real zeroes, so the graph doesn't help much.

9x^2+5x-11=0

1 solutions

Answer 184309 by Alan3354(30993)   on 2009-12-27 20:27:01 (Show Source):
You can put this solution on YOUR website!
9x^2+5x-11=0
--------------
 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=421 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.862126918260177, -1.41768247381573. Here's your graph:

 Graphs/249739: Y=2^x;2^2.31 solutions Answer 184295 by Alan3354(30993)   on 2009-12-27 17:56:17 (Show Source): You can put this solution on YOUR website!What?
 Polynomials-and-rational-expressions/249727: Given the values of x and y, find an equation of variation in which y varies directly as x. y=8, when x=5.1 solutions Answer 184294 by Alan3354(30993)   on 2009-12-27 17:54:46 (Show Source): You can put this solution on YOUR website!Given the values of x and y, find an equation of variation in which y varies directly as x. y=8, when x=5 y = kx y = 1.6x
 Evaluation_Word_Problems/249726: The volume v of gas varies inversely as the pressure p on it. The volume of a gas is 240cm^3 under a pressure of 23 kg/cm^2 What will be its volume under pressure of 30 kg/cm^2?1 solutions Answer 184291 by Alan3354(30993)   on 2009-12-27 17:52:54 (Show Source): You can put this solution on YOUR website!The volume v of gas varies inversely as the pressure p on it. The volume of a gas is 240cm^3 under a pressure of 23 kg/cm^2 What will be its volume under pressure of 30 kg/cm^2? -------------- PV = k 23*240 = k = 5520 ----------------- At 30 kg/cm^2: 30V = 5520 V = 184 cc ---------- It's actually PV = nRT, but k works for this problem.
 Travel_Word_Problems/249722: A car with an initial velocity of 25 m/s speeds up to 40 m/s over a period of 15 seconds. The average acceleration of the car is1 solutions Answer 184289 by Alan3354(30993)   on 2009-12-27 17:49:10 (Show Source): You can put this solution on YOUR website!A car with an initial velocity of 25 m/s speeds up to 40 m/s over a period of 15 seconds. The average acceleration of the car is 1 m/sec/sec. It changed 15 m/sec in 15 seconds.
 Miscellaneous_Word_Problems/252377: The decimal expansion of (1/2)^100 has what digit for its third nonzero digit from the right?1 solutions Answer 184272 by Alan3354(30993)   on 2009-12-27 15:27:53 (Show Source): You can put this solution on YOUR website!0.5 to any power (or 5) produces the same 4 digits on the right once it becomes greater than the 4th power. Exp...last 4 0......1 1......0005 2......0025 3......0125 4......0625 now it repeats 5......3125 6......5625 7......8125 8......0625 9......3125 etc. The last 4 of the 100th power is the same as the 4th, 8th, 12th, etc, = 0625
 Quadratic_Equations/251192: A parabola is tangent to the x-axis, has a y-intercept of 18 and passes through the point (2. 8). What are the two possible quadratic equations?1 solutions Answer 184260 by Alan3354(30993)   on 2009-12-27 13:47:52 (Show Source): You can put this solution on YOUR website!A parabola is tangent to the x-axis, has a y-intercept of 18 and passes through the point (2. 8). What are the two possible quadratic equations? ------------------------- Since it's tangent, the 2 roots are the same. (x - a)^2 = 0 x^2 - 2ax + a^2 = 0 a^2 = 18 a = +3sqrt(2) a = -3sqrt(2) -------------- --> y = x^2 ± 6sqrt(2) + 18 -------------------- One goes thru (2,8), the other goes thru (-2,8).
 Percentage-and-ratio-word-problems/252375: An item for sale is marked down 20%. By what percent must it then be marked up in order to return to the original selling price?1 solutions Answer 184241 by Alan3354(30993)   on 2009-12-27 10:59:46 (Show Source): You can put this solution on YOUR website!It must be marked up 25%, not 125%. ------------------- x*(0.80)*(1.25) = x
 Numbers_Word_Problems/252354: The sum of the squares of two consecutive positive odd numbers is 650 . Find the numbers1 solutions Answer 184217 by Alan3354(30993)   on 2009-12-27 09:20:32 (Show Source): You can put this solution on YOUR website!The sum of the squares of two consecutive positive odd numbers is 650 . Find the numbers -------------- The easy way: 650/2 = 325 sqrt(325) =~ 18 --> 17 and 19 --------------- The hard way: x^2 + (x+2)^2 = 650 2x^2 + 4x + 4 = 650 x^2 + 2x - 323 = 0 (x-17)*(x+19) = 0 x = 17 --> 17 & 19
 Linear-systems/251127: elimination graphing 3x - 4y = 12 3x + 4y = 12 4x - 4y = 12 4x - 4y = 121 solutions Answer 184200 by Alan3354(30993)   on 2009-12-26 21:36:35 (Show Source): You can put this solution on YOUR website!elimination 3x - 4y = 12 4x - 4y = 12 -------------- Subtract -x = 0 x = 0 y = -3 ------- To graph, find 2 points for each eqn and draw a straight line thru them. 3x + 4y = 12 x...y 0...3 --> (0,3) 4...0 --> (4,0) ---------------- Do the same for the other eqn. Where they intersect is the solution.
 Mixture_Word_Problems/252331: Chemistry: Salt Solution. How much water must be evaporated from 32 ounces of a 4% salt solution to make a 6% salt solution?1 solutions Answer 184188 by Alan3354(30993)   on 2009-12-26 19:20:11 (Show Source): You can put this solution on YOUR website! How much water must be evaporated from 32 ounces of a 4% salt solution to make a 6% salt solution? ------------------- 4% of 32 ounces is 1.28 oz of salt. for 1.28 oz to be 6%, the total has to be 1.28/0.06 = 21.333... 32 - 21 1/3 = 10 2/3 ounces of water lost
 Average/249779: What grade do I have to make on my final that is worth 25% of my grade if the other 2 grade averages are 72 (worth 50%) and 86 (worth 25%)?1 solutions Answer 184183 by Alan3354(30993)   on 2009-12-26 18:05:06 (Show Source): You can put this solution on YOUR website!In order to do what?
 Proportions/252325: what is thenarrative description of this im lost √1001 solutions Answer 184176 by Alan3354(30993)   on 2009-12-26 16:05:19 (Show Source): You can put this solution on YOUR website!It's the square root of one hundred.
 Number-Line/252327: By graphing the numbers on a number line, tell which number is greater .5 and 12? find the slopeof the line that pasees throughthe points(13,10) and (5,-7)?1 solutions Answer 184175 by Alan3354(30993)   on 2009-12-26 16:03:54 (Show Source): You can put this solution on YOUR website!By graphing the numbers on a number line, tell which number is greater .5 and 12? 12 is greater ??? ------------ find the slopeof the line that pasees throughthe points(13,10) and (5,-7)? Slope, m, is diffy/diffx m = (-7-10)/5-13) = -17/-8 m = 17/8
 Graphs/249804: I need help figuring out this equation and I also need to graph it. Can you please help? 2(y+3)<4x. Thank you.1 solutions Answer 184173 by Alan3354(30993)   on 2009-12-26 15:37:28 (Show Source): You can put this solution on YOUR website!I need help figuring out this equation and I also need to graph it. Can you please help? 2(y+3)<4x. Thank you. ------------------- You have an inequality in 2 variables. You can solve for x in terms of y, or for y in terms of x, but that's all -------------- To graph it, solve for y in terms of x: 2(y+3)<4x Divide by 2 y+3<2x Subtract 3 y<2x-3 ------- This is a linear function, so the graph will be a straight line. 2 points is sufficient to plot a straight line. --------- Use = instead of < to find 2 points. x...y 0...-3 --> (0,-3) 2...+1 --> (2,1) ------------------ Plot those 2 points and draw a line thru them. The line is where y = 2x-3. The area below the line is where it's less than (<), not including the line. You can dl FREE software to make graphs at http://www.padowan.dk.com
 Geometry_Word_Problems/249780: Given that a regular hexagon has 6 equilateral triangles, AO and OB are angle bisectors of the smaller triangles at the vertex O, What is AB if each side of the hexagon is 2x cm?1 solutions Answer 184171 by Alan3354(30993)   on 2009-12-26 15:27:33 (Show Source): You can put this solution on YOUR website!Given that a regular hexagon has 6 equilateral triangles, AO and OB are angle bisectors of the smaller triangles at the vertex O, What is AB if each side of the hexagon is 2x cm? ----------------------- I'm not sure of the arrangement, but all bisectors' altitudes are the same for equilateral triangles. Assuming that's what you're looking for: cm
 Linear-equations/249797: Calculate the distance between the points M=(-9,-8) and K=(-2,-5) in the Cartesian plane. Write the exact answer in radical form.1 solutions Answer 184170 by Alan3354(30993)   on 2009-12-26 15:23:53 (Show Source): You can put this solution on YOUR website!Calculate the distance between the points M=(-9,-8) and K=(-2,-5) in the Cartesian plane. Write the exact answer in radical form. ------------------------ (((d^2 = diffy^2 + diffx^2}}}
 Expressions-with-variables/249893: how do you graph this equation*? .. or what do i do to start off so i can graph it? *y = x + 21 solutions Answer 184147 by Alan3354(30993)   on 2009-12-26 11:46:16 (Show Source): You can put this solution on YOUR website!Does that asterisk have some meaning?
 Rational-functions/252304: Graph y = 2x^2-13x-71 solutions Answer 184142 by Alan3354(30993)   on 2009-12-26 11:01:25 (Show Source): You can put this solution on YOUR website!I did. you can dl the FREE software at http://www.padowan.dk.com and graph it also.
 Trigonometry-basics/252303: sina+1/sina=1 solutions Answer 184141 by Alan3354(30993)   on 2009-12-26 10:59:13 (Show Source): You can put this solution on YOUR website!Is the numerator sin(a)? Or (sin(a) + 1) ?
 Exponents-negative-and-fractional/249796: 1 solutions Answer 184140 by Alan3354(30993)   on 2009-12-26 10:28:34 (Show Source): You can put this solution on YOUR website! --------------------------- This is a quadratic in 6^x. Sub y for 6^x to make it clearer: (y - 6)*(y - 36) = 0 y = 6, y = 36 -------------- Then sub back: 6^x = 6 x = 1 ------ 6^x = 36 x = 2
 Surface-area/252156: help me pls. Identify 2 planes in this room, other than its wall, ceiling or floor which are: a.) parallel b.) perpendicular c.) parallel to a wall d.) perpendicular to the floor e.) parallel to an edge f.) perpendicular to an edge of the floor 1 solutions Answer 184139 by Alan3354(30993)   on 2009-12-26 10:25:31 (Show Source): You can put this solution on YOUR website!Is there a drawing you're referring to?
 Miscellaneous_Word_Problems/252287: How many ordered triples (x,y,z)) satisfy x^2 + y^2 +z^2 < 4 where x,y,z are integers a. 7 b. 13 c. 19 d. 27 e. 31 1 solutions Answer 184138 by Alan3354(30993)   on 2009-12-26 10:23:38 (Show Source): You can put this solution on YOUR website!There's 0 0 0 ------- 1 0 0 0 1 0 0 0 1 ------ -1 0 0 0 -1 0 0 0 -1 ------- That's 7.
 Graphs/252299: For what values of x will the graph of 2x - 3y + 5 = 0 be above the x-axis?1 solutions Answer 184130 by Alan3354(30993)   on 2009-12-26 09:39:16 (Show Source): You can put this solution on YOUR website!For what values of x will the graph of 2x - 3y + 5 = 0 be above the x-axis? -------------- For all values of x which give a value of y >0. Set y = 0: 2x + 5 = 0 x = -5/2 --------- At x = -5/2, the line crosses the x-axis. For all values of x>(-5/2) it is above the x-axis.
 Polynomials-and-rational-expressions/252289: (8x^5-x^2+10-2x^3)/(x^2-3) = 8x^3+ 22x-1+ (66x+7)/(x^2-3) I’m not sure with my answer. Could you help me find the correct one? My tentative answer is included here. Thank you very much! 1 solutions Answer 184128 by Alan3354(30993)   on 2009-12-26 09:22:42 (Show Source): You can put this solution on YOUR website!(8x^5-x^2+10-2x^3)/(x^2-3) = 8x^3+ 22x-1+ (66x+7)/(x^2-3) ------------------ That's what I get.