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# Recent problems solved by 'Alan3354'

Alan3354 answered: 31511 problems
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 Surface-area/309116: The height of a soft drink can is about 12 centimeters and the diameter is about 6 centimeters. Find the surface area of the can.1 solutions Answer 221056 by Alan3354(31532)   on 2010-05-27 15:48:58 (Show Source): You can put this solution on YOUR website!The height of a soft drink can is about 12 centimeters and the diameter is about 6 centimeters. Find the surface area of the can. ------------------- The area the top and bottom are pi*r^2 each The lateral area is 2pi*r*h ----------------- h = 12 r = 3
 Exponential-and-logarithmic-functions/309196: Did I do this right? (4/3)^-2=(3/4)^-2=(3*3)/(4*4)=9/16=-16/9 If I didn't can you explain what I did wrong and give me the right answer please?1 solutions Answer 221055 by Alan3354(31532)   on 2010-05-27 15:46:40 (Show Source): You can put this solution on YOUR website!(4/3)^-2=(3/4)^-2=(3*3)/(4*4)=9/16=-16/9 ---------------------- You inverted too many times, then you made it negative.
 Reduction-of-unit-multipliers/309128: convert 629 cm to meters.1 solutions Answer 221053 by Alan3354(31532)   on 2010-05-27 15:43:45 (Show Source): You can put this solution on YOUR website!= 6.29 meters
 Graphs/309187: how would i solve 3x+3y=9 so that I can graph it?1 solutions Answer 221047 by Alan3354(31532)   on 2010-05-27 15:24:16 (Show Source): You can put this solution on YOUR website!There's no single solution, so you can't solve it. The graph is a straight line, and every point on it is a "solution" in the sense that it fits the equation. 3x + 3y = 9 Find y in terms of x: x + y = 3 y = -x + 3 ----------- Pick 2 values for x and find the corresponding y. Plot the 2 points. Draw a straight line thru them.
 Linear-equations/309176: Find a equation of the line containing the given pair of points. (1/6, -1,3) (5/6, 3. I cant figure out the first part of getting M. M= 3 - -1/3 = 5/6 - 1/61 solutions Answer 221044 by Alan3354(31532)   on 2010-05-27 15:08:25 (Show Source): You can put this solution on YOUR website!Find a equation of the line containing the given pair of points. (1/6, -1,3) (5/6, 3. I cant figure out the first part of getting M. M= 3 - -1/3 = 5/6 - 1/6 --------------- I think your points are (1/6,-1/3) and (5/6,3) ?? m = (3 + 1/3)/(5/6 - 1/6) m = (10/3)/(2/3) = 5 -------------------------- Is that what you meant? It's not clear.
 Triangles/309137: If 3, 8, and x represent the lengths of the sides of a triangle, how many integer values for x are possible?1 solutions Answer 221041 by Alan3354(31532)   on 2010-05-27 14:42:06 (Show Source): You can put this solution on YOUR website!If 3, 8, and x represent the lengths of the sides of a triangle, how many integer values for x are possible? x has to be more than 5 (8-3) and less than 11 (8+3) That's 6,7,8,9, or 10 5 integers ------------- Note that it can't be equal to 5 or to 11.
 Numbers_Word_Problems/309076: Find my 3-digit house number with the help of the following clues *If you add 1 to the number, it is a multiple of 8 *If you add 5 to the number, it is a multiple of 9 *If you add 2 to the number, it is a multiple of 111 solutions Answer 220972 by Alan3354(31532)   on 2010-05-27 09:13:14 (Show Source): You can put this solution on YOUR website!Find my 3-digit house number with the help of the following clues *If you add 1 to the number, it is a multiple of 8 *If you add 5 to the number, it is a multiple of 9 *If you add 2 to the number, it is a multiple of 11 ---------------------------- 823
 Miscellaneous_Word_Problems/309043: If 4 */6* + 5/17 = 1, what digit does * represent?1 solutions Answer 220962 by Alan3354(31532)   on 2010-05-27 06:25:16 (Show Source): You can put this solution on YOUR website!4*/6* = 12/17 * = 8
 Inequalities/309042: If a^2b^3c > 0, which of the following statements must be true? I. bc > 0 II. ac > 0 III. ab > 0 1 solutions Answer 220961 by Alan3354(31532)   on 2010-05-27 06:23:42 (Show Source): You can put this solution on YOUR website!a^2 > 0 since it's an even exponent. If b^3c > 0, then bc is also > 0 since b^2 > 0 --> I bc > 0
 Square-cubic-other-roots/308955: Please can you help me simplify this expression....I don't know what to do with the number outside the square root sign.... Thank you my name is Daniel and I'm in the 9th grade.... 10 square root of (5/36)1 solutions Answer 220921 by Alan3354(31532)   on 2010-05-26 22:53:09 (Show Source): You can put this solution on YOUR website!Is it a 10th root? or a square root? Either way, just use a calculator. (5/36)^(1/2) =~ 0.3726*10 = 3.726 (5/36)^(1/10) =~ 0.820856
 logarithm/308971: Use natural logarithms to solve the equation. a- -0.448 b- 0.327 c- 0.067 d- -0.0461 solutions Answer 220920 by Alan3354(31532)   on 2010-05-26 22:47:42 (Show Source): You can put this solution on YOUR website! 4x = ln(5/6) x = ln(5/6)/4 x =~ -0.04558 x =~ -0.046
 Linear-equations/308785: Find the distance between the given points (-5, 5) and (0,12)1 solutions Answer 220859 by Alan3354(31532)   on 2010-05-26 19:18:18 (Show Source): You can put this solution on YOUR website!Find the distance between the given points (-5, 5) and (0,12) -------------- diffx = 5 diffy = 7 It's a right triangle with sides of 5 and 7. The distance is the hypotenuse. Can you do that?
 Miscellaneous_Word_Problems/308865: The older floppy diskettes measured 5 and 1/4 inches on each side. What was the diagonal length of the diskette to the nearest tenth of an inch?1 solutions Answer 220853 by Alan3354(31532)   on 2010-05-26 18:26:49 (Show Source): You can put this solution on YOUR website!Actually, they were round. Rotating objects are usually round.
 Triangles/308808: the perimeter of a triangle is 30 cm. one side is 7 centimeters longer than the shortest side. find the length of the shortest side. find the length of each side of the triangle.1 solutions Answer 220852 by Alan3354(31532)   on 2010-05-26 18:25:46 (Show Source): You can put this solution on YOUR website!Insufficient data. This cannot be solved with the info given. If it's a right triangle, or isoceles, it can be, but you didn't say it was either.
 Circles/308858: what are the x-and y-intercepts of the tangents to the circle (x-2)^2+(y-2)^2=251 solutions Answer 220849 by Alan3354(31532)   on 2010-05-26 18:13:02 (Show Source): You can put this solution on YOUR website!The circle has an infinite # of tangents. You sure that's what you meant to ask?
 Linear-equations/308788: Can you show me step by step on how to graph the eqaution and identify the y-intercept of 5y - 3x = -10 I need at least threee points to graph this 1 solutions Answer 220844 by Alan3354(31532)   on 2010-05-26 17:49:52 (Show Source): You can put this solution on YOUR website!To find the y-intercept, set x=0 5y - 3x = -10 5y = -10 y = -2 --> (0,-2) is the y-int ---------------- To graph it, solve for y 5y = 3x - 10 y = (3/5)x - 2 ------------------ Then pick values for x and find y: x....y 0....-2 5....1 10...4 Plot those, draw a straight line thru them Only 2 points are needed for a straight line, not 3.
 Numbers_Word_Problems/308622: If n is a positive integer, which of the following cannot be the units digit of 7^n? a) 1 b) 3 c) 5 d) 7 e) 9 1 solutions Answer 220686 by Alan3354(31532)   on 2010-05-26 08:40:41 (Show Source): You can put this solution on YOUR website!c) 5
 test/308617: 2+2=1 solutions Answer 220685 by Alan3354(31532)   on 2010-05-26 08:39:42 (Show Source): You can put this solution on YOUR website!What's your guess?
 Linear_Algebra/308646: e2x=41 solutions Answer 220683 by Alan3354(31532)   on 2010-05-26 08:36:47 (Show Source): You can put this solution on YOUR website!e2x=4 Is 2x an exponent? Use e^2x = 4 for exponents. e^2x = 4 2x = ln(4) x = ln(4)/2 = ln(2) x =~ 0.693147
 Linear_Algebra/308645: 2(5-3x)=1/161 solutions Answer 220682 by Alan3354(31532)   on 2010-05-26 08:35:13 (Show Source): You can put this solution on YOUR website!2(5-3x)=1/16 10 - 6x = 3/16 -6x = -157/16 x = 157/96
 Travel_Word_Problems/308561: Problem: A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground (T) seconds after it is thrown is given by d=-16Tsquared-2T+369. How long after the rock is thrown is it 330 feet from the ground? I wrote the equation over again and replaced d as 330, making it 330=-16Tsquared-2T+369. I don't even know if this is what I'm supposed to be doing!1 solutions Answer 220633 by Alan3354(31532)   on 2010-05-25 22:10:05 (Show Source): You can put this solution on YOUR website!Problem: A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the ground (T) seconds after it is thrown is given by d=-16Tsquared-2T+369. How long after the rock is thrown is it 330 feet from the ground? I wrote the equation over again and replaced d as 330, making it 330=-16Tsquared-2T+369. I don't even know if this is what I'm supposed to be doing! ---------------------- That's the right approach. Just solve for t 330 = -16t^2 - 2t + 369 -16t^2 - 2t + 39 = 0 (8t + 13)*(-2t + 3) = 0 t = -13/8 (Ignore it) t = 3/2 seconds It takes it 1.5 seconds to fall to 330 feet.
 Sequences-and-series/308542: what is the 10th # in this sequence 1,2,4: there are 5 possible answers please help1 solutions Answer 220626 by Alan3354(31532)   on 2010-05-25 21:42:50 (Show Source): You can put this solution on YOUR website!The sequence might be 1,2,4,8,16,32... successive terms times 2 Or 1,2,4,7,11,16,22... the difference between successive terms increasing by 1 Or 1,2,4,5,7,8 ... the difference alternating between 1 and 2 Or other sequences. Not sufficient data.
 Linear-systems/308558: (3a^8)(a^6)1 solutions Answer 220624 by Alan3354(31532)   on 2010-05-25 21:39:13 (Show Source): You can put this solution on YOUR website!Add exponents when multiplying = 3a^14
 Volume/308550: If a wooden jewelry box has the shape of a prism with a hexagonal base of 20 in2 in area, calculate the volume? If a wooden jewelry box has the shape of a prism with a hexagonal base of 20 in2 in area, calculate the volume of the wooden box. http://i978.photobucket.com/albums/ae264/melissabehymer/math10-2295.gif a. 100 in cubed b. 272 in cubed c. 292 in cubed d. 300 in cubed Also, What is the area of the wood used to make the jewelry box ? a. 146 in sq. b. 272 in sq. c. 292 in sq. d. 300 in sq. * 1 hour ago * - 4 days left to answer. 1 solutions Answer 220623 by Alan3354(31532)   on 2010-05-25 21:38:18 (Show Source): You can put this solution on YOUR website!If a wooden jewelry box has the shape of a prism with a hexagonal base of 20 in2 in area, calculate the volume of the wooden box. http://i978.photobucket.com/albums/ae264/melissabehymer/math10-2295.gif a. 100 in cubed b. 272 in cubed c. 292 in cubed d. 300 in cubed Vol = area*h = 20*15 = 300 in cubed ----------------------------- Also, What is the area of the wood used to make the jewelry box ? a. 146 in sq. b. 272 in sq. c. 292 in sq. d. 300 in sq. The top and bottom are given, 20 sq in each. 2 sides are 4*15 each 4 sides are 2.2*15 each Area = 40 + 120 + 132 = 292 sq inches
 Graphs/308533: y=9x-10 y=-4x+18 I dont know the first step to solving this! I am supposed to solve by graphing1 solutions Answer 220613 by Alan3354(31532)   on 2010-05-25 21:12:13 (Show Source): You can put this solution on YOUR website!y=9x-10 y=-4x+18 I dont know the first step to solving this! I am supposed to solve by graphing --------------------- Equation gives a graph of a straight line. Find 2 points for each eqn, then draw a line thru them. Where the lines cross is the solution of the system. ------------------------ y=9x-10 Pick 2 values for x and find y. x = 0, y = -10 --> (0,-10) 1 point x = 1, y = -1 -- (1,-1) a 2nd point Plot those 2 points, draw a line thru them. ----------------------- Do the same for the other eqn. email via the Thank you note to check your work, or more help.
 Volume/308540: what is the height of the solid if the volume is 120m3 and base area is 30m2?1 solutions Answer 220611 by Alan3354(31532)   on 2010-05-25 21:08:28 (Show Source): You can put this solution on YOUR website!120m^3/30m^2 = 4 meters
 Average/308516: if a track is 8 miles long and I drove it in 3 minutes how fast was I driving?1 solutions Answer 220598 by Alan3354(31532)   on 2010-05-25 20:30:43 (Show Source): You can put this solution on YOUR website!8/3 miles per minute.
 Polynomials-and-rational-expressions/308523: how do you solve the expression (q + 5)/3*4q/(q + 2)?1 solutions Answer 220597 by Alan3354(31532)   on 2010-05-25 20:29:52 (Show Source): You can put this solution on YOUR website!You don't. It's not an equation. -------------------
 Expressions-with-variables/308511: Dean is at point (1,1) and drives up to a slanted road to save Sam who is at point (6,11). How steep is the road?1 solutions Answer 220596 by Alan3354(31532)   on 2010-05-25 20:28:53 (Show Source): You can put this solution on YOUR website!Dean is at point (1,1) and drives up to a slanted road to save Sam who is at point (6,11). How steep is the road? --------------- It rises 5 units in 10 horizontal units, slope = 10*5 = 2. The angle is the arctan(2) =~ 63.435º --------------------- To save Sam from what?
 Triangles/308524: IF 2 sides of a triangle measure 12cm and 7cm, which of the following CANNOT be the Perimeter of the triangle? A. 29cm B.34cm C.37 cm D. 38cm1 solutions Answer 220594 by Alan3354(31532)   on 2010-05-25 20:25:36 (Show Source): You can put this solution on YOUR website!D --------- The 3rd side has to be more than 12-7 and less than 12+7
 Trigonometry-basics/308497: Given: cscx=5/3; secx<0 Find exact values: a. cos (2x) b. tan (2x) c. sin (2x) I have tried using the pythagorean theorem: 3^2+b^2=5^21 solutions Answer 220593 by Alan3354(31532)   on 2010-05-25 20:24:02 (Show Source): You can put this solution on YOUR website!Given: cscx=5/3; secx<0 ------------------------- csc = 1/sin sin(x) = +3/5 --> Quad 1 or 2 ------------- sec<0 --> Quad 2 or 3 --> Quadrant 2 cos(x) = -4/5 ----------------- ----------------- Find exact values: a. cos (2x) = 1 - 2sin^2(x) = 1 - 2*(3/5)^2 = 1- 18/25 = 7/25 ------------ c. sin (2x) = 2 sin(x) cos(x) = 2(3/5)*(-4/5) = -24/25 ----------- b. tan (2x) = sin(2x)/cos(2x) = -24/7