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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30939 problems
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 logarithm/567309: Express 2log 3 + 3log 2 - log 6 as a single logarithm.1 solutions Answer 366499 by Alan3354(30959)   on 2012-02-03 10:22:40 (Show Source): You can put this solution on YOUR website!Express 2log 3 + 3log 2 - log 6 as a single logarithm. ----- 2log(3) = log(9) 3log(2) = log(8) ---- --> log(8*9/6) = log(12)
 Graphs/567294: How do you solve x=2 and 3x + 2y = 41 solutions Answer 366497 by Alan3354(30959)   on 2012-02-03 09:02:09 (Show Source): You can put this solution on YOUR website!How do you solve x=2 and 3x + 2y = 4 ----------- Solving for x is easy x = 2 ----- Sub 2 for x in the 2nd equation: 3*2 + 2y = 4 2y = -2 y = -1
 Linear_Equations_And_Systems_Word_Problems/567295: if c equals degree celsius and f equals degree Fahrenheit ,assume that the relationship between the two temprature scales is linear and is being graphed with f on vertical axis.two data points on the line relating c and f are (5,41)and (25,77).using the points to find slope intercept equation which allow transformation from Celsius temperature to equivalent Fahrenheit temperature. Identify and intercept the meaning of the slope, c intercept , and f intercept 1 solutions Answer 366495 by Alan3354(30959)   on 2012-02-03 08:51:25 (Show Source): You can put this solution on YOUR website!if c equals degree celsius and f equals degree Fahrenheit ,assume that the relationship between the two temprature scales is linear and is being graphed with f on vertical axis.two data points on the line relating c and f are (5,41)and (25,77).using the points to find slope intercept equation which allow transformation from Celsius temperature to equivalent Fahrenheit temperature. Identify and intercept the meaning of the slope, c intercept , and f intercept -------------------- slope = (77-41)/(25-5) = 1.8 Slope is the ratio of F to C A change in temperature gives a larger difference in degs F than degs C. eg, the liquid temp range of water (at standard pressure) is 180º F or 100º C. ------------- F = 1.8C + b 41 = 1.8*5 + b b = 32 --> F = 1.8C + 32 ------------------- At the C intercept, F = 0 At the F intercept, C = 0
 Coordinate-system/567194: how to graph y=1/2x - 3 ?1 solutions Answer 366448 by Alan3354(30959)   on 2012-02-02 22:30:09 (Show Source): You can put this solution on YOUR website!how to graph y=1/2x - 3 ? ----------------- Same as always Pick 2 values for x and find y Plot 2 points, all you need for a straight line Draw a line thru them
 Polygons/566920: how do i find the interior and exterior angles of a 900 sided regular polygon 1 solutions Answer 366396 by Alan3354(30959)   on 2012-02-02 16:40:59 (Show Source): You can put this solution on YOUR website!how do i find the interior and exterior angles of a 900 sided regular polygon ----------- The sum of exterior angles is 360 degs for all polygons. 360/900 = 0.4 degs Interior angles = 180 - ext = 179.6 degs each
 Exponents/566900: what do you do to find 4 to the 3rd power? PLEASE HELP!1 solutions Answer 366395 by Alan3354(30959)   on 2012-02-02 16:24:24 (Show Source): You can put this solution on YOUR website!what do you do to find 4 to the 3rd power? -------- It's 4*4*4 There are 3 of them.
 test/566897: the lid of a can has a 2.5 meter diameter. What is the circumference of the lid?1 solutions Answer 366394 by Alan3354(30959)   on 2012-02-02 16:21:30 (Show Source): You can put this solution on YOUR website!C = pi*d
 Rational-functions/566830: without a calculator, sketch the following function. Make sure to label both the x and y intercepts. (Hint: find the zeroes and y-intercept in terms of c)1 solutions Answer 366372 by Alan3354(30959)   on 2012-02-02 14:34:10 (Show Source): You can put this solution on YOUR website!without a calculator, sketch the following function. Make sure to label both the x and y intercepts. (Hint: find the zeroes and y-intercept in terms of c) --------------- Any function in particular?
 Geometry_Word_Problems/566801: if the perimetare of a rectangle is 30 then whats the area 1 solutions Answer 366365 by Alan3354(30959)   on 2012-02-02 14:12:07 (Show Source): You can put this solution on YOUR website!if the perimetare of a rectangle is 30 then whats the area ------------- I assume you mean perimeter. ----------- Not enough data. It could be 1 by 14 = 14 sq units 2 by 13 = 26 3 by 12 = 36 pi by 15-pi = 15pi - pi^2 or an infinite # of other combinations.
 test/566735: Have an ovarian cyst which measures: 6.4 x 2.9 x 3.1 what size is this cyst in inches??1 solutions Answer 366328 by Alan3354(30959)   on 2012-02-02 12:10:12 (Show Source): You can put this solution on YOUR website!Have an ovarian cyst which measures: 6.4 x 2.9 x 3.1 what size is this cyst in inches?? ---------- If those numbers are mms, divide by 25.4 If they're cms, divide by 2.54 If they're feet, you're in big trouble.
 Radicals/566752: (√a)(√b)=√(ab) i an believing this to be true using the product rule1 solutions Answer 366327 by Alan3354(30959)   on 2012-02-02 12:08:42 (Show Source): You can put this solution on YOUR website!It's true. Also,
 Surface-area/566753: If I have a cylinder that is 24 inches round and 6 feet tall how much cubic feet of dirt can fit in it? 1 solutions Answer 366326 by Alan3354(30959)   on 2012-02-02 12:07:32 (Show Source): You can put this solution on YOUR website!If I have a cylinder that is 24 inches round and 6 feet tall how much cubic feet of dirt can fit in it? ------------ Is it 24" around it? Or the diameter? Or the radius?
 Percentage-and-ratio-word-problems/566724: If an item costs 75 cents and it is marked up to 90 cents, what percent mark up would that be? 1 solutions Answer 366325 by Alan3354(30959)   on 2012-02-02 11:51:06 (Show Source): You can put this solution on YOUR website!If an item costs 75 cents and it is marked up to 90 cents, what percent mark up would that be? ----------- 90 - 75 = 15 cents 15/75 = 0.2 x100 = 20%
 Money_Word_Problems/566730: if i take \$600 from \$4900 what percentage did i take? 1 solutions Answer 366324 by Alan3354(30959)   on 2012-02-02 11:48:38 (Show Source): You can put this solution on YOUR website!if i take \$600 from \$4900 what percentage did i take? ----- 600/4900 =~ 0.12245 x100 --> 12.245%
 Rational-functions/566741: √a + √b = √(a+b) is this true or false i believe i am correct saying false as the radican are different even though the index are alike1 solutions Answer 366323 by Alan3354(30959)   on 2012-02-02 11:46:45 (Show Source): You can put this solution on YOUR website!√a + √b = √(a+b) is this true or false i believe i am correct saying false as the radican are different even though the index are alike ------------------ It's false.
 Equations/566717: Please help me solve: abc --- = ?? ac 1 solutions Answer 366321 by Alan3354(30959)   on 2012-02-02 10:54:34 (Show Source): You can put this solution on YOUR website!Please help me solve: abc --- = ?? ac =================== Cancel like terms in the NUM and DEN.
 Rate-of-work-word-problems/566734: A pipe is leaking at the rate of 8 fluid ounces per minute. How many gallons is the pipe leaking per hour? 1 solutions Answer 366320 by Alan3354(30959)   on 2012-02-02 10:53:01 (Show Source): You can put this solution on YOUR website!A pipe is leaking at the rate of 8 fluid ounces per minute. How many gallons is the pipe leaking per hour? ----------- --> 480 fluid ounces per hour. How many of those in a gallon? ---- I can see why people don't like metric measurements. Fluid furlongs, etc.
 Equations/566722: how would you approach this equation and what method would you use to solve, 0.0013x³ – 0.085x² + 1.6x + 12 = 23.21 solutions Answer 366319 by Alan3354(30959)   on 2012-02-02 10:51:24 (Show Source): You can put this solution on YOUR website!how would you approach this equation and what method would you use to solve, 0.0013x³ – 0.085x² + 1.6x + 12 = 23.2 ------------- I graphed it and found a real root of 40. ------ If I didn't have the graph software, I would make an Excel sheet and look for a root.
 Coordinate-system/566695: 215. Give the rectangular coordinates: (2, 45°) Answer Choices: A)(√5, √5) C)(√3, √3) B)(√2, √2) D)(2, 2) 216. Give the rectangular coordinates: (-6, -150°). Answer Choices: A)(3√3, 3) C)(3, 3√3) B)(-3√3, 3) D)(-3, 3√3) 217. Give the polar coordinates: (-2, 2). Anser Choices: A)(2√2, 135°) C)(135, 2√2°) B)(2√2, 135) D)(135, 2√2) 218. Give the polar coordinates: (-√2, -√2). Answer Choices: A)(2, 225) C)(225, 2) B)(2, 225°) D)(225, 2°) 219. Give the polar coordinates: (-1, √3). Answer Choices: A)(2, 120°) C)(120, 2°) B)(2, 120) D)(120, 2) 1 solutions Answer 366316 by Alan3354(30959)   on 2012-02-02 09:52:48 (Show Source): You can put this solution on YOUR website!215. Give the rectangular coordinates: (2, 45°) Answer Choices: A)(√5, √5) C)(√3, √3) B)(√2, √2) D)(2,2) ----------- --> (sqrt(2),sqrt(2)) ------------------ 216. Give the rectangular coordinates: (-6, -150°). Answer Choices: A)(3√3, 3) C)(3, 3√3) B)(-3√3, 3) D)(-3, 3√3) Do it like 215 above. You sure that's -6 ? ======================= 217. Give the polar coordinates: (-2, 2). Anser Choices: A)(2√2, 135°) C)(135, 2√2°) B)(2√2, 135) D)(135, 2√2) ---------- angle = arctan(y/x) = arctan(-1) = 135 degs ----- --> (2sqrt(2),135) ======================= 218. Give the polar coordinates: (-√2, -√2). Answer Choices: A)(2, 225) C)(225, 2) B)(2, 225°) D)(225, 2°) 219. Give the polar coordinates: (-1, √3). Answer Choices: A)(2, 120°) C)(120, 2°) B)(2, 120) D)(120, 2)
 Graphs/566682: How would you graph y= -41 solutions Answer 366314 by Alan3354(30959)   on 2012-02-02 09:34:32 (Show Source): You can put this solution on YOUR website!How would you graph y= -4 ------------ It's a straight line, so I would plot 2 points. Pick 2 values for x. eg, x = 0 --> (0,-4) x = 10 --> (10,-4) Plot the points, draw a line thru them.
 Angles/566697: The sum of complementary angles is 90 degrees. True False1 solutions Answer 366313 by Alan3354(30959)   on 2012-02-02 09:13:00 (Show Source): You can put this solution on YOUR website!The sum of complementary angles is 90 degrees. True False ------ It's a fact. --- For example, 22 & 68 are complementary.
 Probability-and-statistics/566648: If I attempted 23 freethrows and made 15 of them, what is the probability that I will make my next attempt. 1 solutions Answer 366311 by Alan3354(30959)   on 2012-02-02 08:38:30 (Show Source): You can put this solution on YOUR website!If I attempted 23 freethrows and made 15 of them, what is the probability that I will make my next attempt. ================= The probability of physical things like this cannot be calculated. What happened in the past has no effect on the next freethrow.
 Linear-systems/566688: https://takeexam.next.ecollege.com/ec/pub/K12Content/Courses/resources/swfs/media/Ninth_Grade/Math/Unit19184/Lesson73197/UT2B_stem.gif What is the slope of the line? I solved this and got 5/2... 1 solutions Answer 366309 by Alan3354(30959)   on 2012-02-02 08:29:46 (Show Source): You can put this solution on YOUR website!https://takeexam.next.ecollege.com/ec/pub/K12Content/Courses/resources/swfs/media/Ninth_Grade/Math/Unit19184/Lesson73197/UT2B_stem.gif What is the slope of the line? I solved this and got 5/2... ==================================== I got this: There has been a problem with the page you are accessing. You may return to what you were doing by clicking the back button. If the problem persists, please contact the helpdesk.
 Equations/566621: What is the equation of +8-+6=? 1 solutions Answer 366299 by Alan3354(30959)   on 2012-02-02 07:03:35 (Show Source): You can put this solution on YOUR website!What is the equation of +8-+6=? ----------------- There's no equation.
 test/566659: I'm also trying to learn how operate a Texas Instrument Calculator! 1 solutions Answer 366298 by Alan3354(30959)   on 2012-02-02 07:01:46 (Show Source): You can put this solution on YOUR website!Me too.
 test/566244: If there are 356 beans in a 16 ounce bag, how many beans would there be in a 20 ounce bag?1 solutions Answer 366167 by Alan3354(30959)   on 2012-02-01 16:38:33 (Show Source): You can put this solution on YOUR website!If there are 356 beans in a 16 ounce bag, how many beans would there be in a 20 ounce bag? --------------- 356/16 = 22.25 beans/ounce 22.25*20 = 445 beans =============== 356:16::n:20 16n = 356*20 n = 445 beans ============ 20 = 16*1.25 356*1.25 = 445 beans =========== I'm going with 445 beans
 Travel_Word_Problems/566220: Maria drove to a business appointment at 50mph in the morning. Her average speed on the return trip in the afternoon was 40 mph. The return trip took 1/4hr longer because of traffic. How far did she travel to the appointment?1 solutions Answer 366165 by Alan3354(30959)   on 2012-02-01 16:23:24 (Show Source): You can put this solution on YOUR website!Maria drove to a business appointment at 50mph in the morning. Her average speed on the return trip in the afternoon was 40 mph. The return trip took 1/4hr longer because of traffic. How far did she travel to the appointment? ------------------ d = r*t d = 50t = 40*(t + 0.25) 50t = 40t + 10 t = 1 hour -------------- d = 50*1 = 50 miles ================== Notice that the avg speed for the round trip is not the average of 50 and 40. Why is that? The avg speed is less, = 44.444... mi/hr, not 45
 Equations/566247: what is : Alicen has chosen a 250 page book for her book report. If she reads t pages a day, how long will it take her to read the book1 solutions Answer 366164 by Alan3354(30959)   on 2012-02-01 16:18:21 (Show Source): You can put this solution on YOUR website!what is : Alicen has chosen a 250 page book for her book report. If she reads t pages a day, how long will it take her to read the book ----------------- 250/t days
 logarithm/566246: expand the logarithm log base 2 12^5/11^21 solutions Answer 366163 by Alan3354(30959)   on 2012-02-01 16:17:29 (Show Source): You can put this solution on YOUR website!expand the logarithm log base 2 12^5/11^2 -------- = 5log(12) - 2log(11) any base
 Miscellaneous_Word_Problems/566223: A truck with 48-in.-diameter wheels is traveling at 45 mi/h. (a) Find the angular speed of the wheels in rad/min. rad/min (b) How many revolutions per minute do the wheels make? rev/min1 solutions Answer 366147 by Alan3354(30959)   on 2012-02-01 15:54:02 (Show Source): You can put this solution on YOUR website!A truck with 48-in.-diameter wheels is traveling at 45 mi/h. --------- 45 mi/hr = 66 ft/sec = 3960 ft/minute ---------- Each revolution = pi*d feet = 4pi feet (b) How many revolutions per minute do the wheels make? rev/min ------------- Each revolution = pi*d feet = 4pi feet rpm = 3960 ft/min / 4pi feet = 990/pi rpm =~ 315 rpm --------------- (a) Find the angular speed of the wheels in rad/min. rad/min ------------- rad/min = rpm*2*pi = 990/pi * (2pi) = 1980 rad/min
 Volume/566216: a box holds 10 cubes of 2 inches cubed. How big is the box? each cube volume 8 cu.inches total volume is 80 cu.in. hence the volume of thebox should be at least 80 cu.in cube rooting 80 we will get 4 < (cube root of ) 80 < 5 we cannot have 4. something for a side in the cube . so we take 5 as the box side so the box size is minimum of 5 inches cheers 1 solutions Answer 366146 by Alan3354(30959)   on 2012-02-01 15:48:50 (Show Source): You can put this solution on YOUR website!a box holds 10 cubes of 2 inches cubed. How big is the box? ---------- Its volume is at least 20 cubic inches.