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Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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Linear_Algebra/584407: help us step by step and show us by step how u got this answer, 3/4m=9 answer for m is 12 were lost 1 solutions Answer 372772 by Alan3354(30993)   on 2012-03-08 16:33:39 (Show Source): You can put this solution on YOUR website! 3/4m=9 ---------- If you mean (3/4)m = 9 3m/4 = 9 Multiply thru by 4 3m = 36 Divide by 3 m = 12

Linear_Equations_And_Systems_Word_Problems/584394: CAN SOMEONE HELP ME WITH A GRAPH what would the graph look like of c=20t + 40 1 solutions Answer 372771 by Alan3354(30993)   on 2012-03-08 16:19:02 (Show Source): You can put this solution on YOUR website! CAN SOMEONE HELP ME WITH A GRAPH what would the graph look like of c=20t + 40 ------------ It would look like a straight line.

Surface-area/584402: if a sphere has a diameter of 30 what is half the volume of the sphere 1 solutions Answer 372770 by Alan3354(30993)   on 2012-03-08 16:18:05 (Show Source): You can put this solution on YOUR website! if a sphere has a diameter of 30 what is half the volume of the sphere ------- r = 15 Vol of 1/2 =

Equations/584344: please help what is the equations for x | y 1 | 1 2 | 1 + 2 3 | 1 + 2 + 4 4 | 1 + 2 + 4 + 8 5 | 1 + 2 + 4 + 8 + 16 6 | 1 + 2 + 4 + 8 + 16 + 32 this is driving me crazy please help 1 solutions Answer 372747 by Alan3354(30993)   on 2012-03-08 14:48:25 (Show Source): You can put this solution on YOUR website! please help what is the equations for x | y 1 | 1 2 | 1 + 2 3 | 1 + 2 + 4 4 | 1 + 2 + 4 + 8 5 | 1 + 2 + 4 + 8 + 16 6 | 1 + 2 + 4 + 8 + 16 + 32 --------------

Equations/584348: Write an equation in standard form of the line satisfying the following condition. The line goes through (3,-2), and is vertical. 1 solutions Answer 372746 by Alan3354(30993)   on 2012-03-08 14:46:46 (Show Source): You can put this solution on YOUR website! x = 3

Polygons/584224: one exterior angle of a regular polygon measures 10 degrees what is the measure of each interioir angles ? how many sides does the polygon have ? 1 solutions Answer 372732 by Alan3354(30993)   on 2012-03-08 11:03:40 (Show Source): You can put this solution on YOUR website! one exterior angle of a regular polygon measures 10 degrees what is the measure of each interioir angles ? how many sides does the polygon have ? --------------------- Int = 180 - 10 = 170 degs ---------- # of sides = 360/10 = 36

Average/584238: If i have a 62 in history and have an exam tomorrow what would i need to make on the exam to pass the class with atleast a 65 1 solutions Answer 372730 by Alan3354(30993)   on 2012-03-08 10:56:57 (Show Source): You can put this solution on YOUR website! If i have a 62 in history and have an exam tomorrow what would i need to make on the exam to pass the class with atleast a 65 -------------- It depends on how many tests, or other things, the 62 is based on. If the exam tomorrow is 50% of the grade: (62 + score)/2 = 65 62 + score = 130 score = 68 to average 65

Polygons/584128: if two corresponding sides of two similar polygons are 8 and 16. find the ratio of their areas and perimeter? 1 solutions Answer 372719 by Alan3354(30993)   on 2012-03-08 09:02:36 (Show Source): You can put this solution on YOUR website! if two corresponding sides of two similar polygons are 8 and 16. find the ratio of their areas and perimeter? ---------- Perimeters 1:2 Areas 1:4

Geometry_Word_Problems/583954: find the volume of a sphere with a diameter of 15ft. Give your answer in terms of pi. 1 solutions Answer 372640 by Alan3354(30993)   on 2012-03-07 19:58:51 (Show Source): You can put this solution on YOUR website! find the volume of a sphere with a diameter of 15ft. Give your answer in terms of pi. -------------- r = d/2 = 7.5 ft

Travel_Word_Problems/583943: I would like help on this problem:Flying to Kampala with a tailwind a plane avaraged 158km/h. Onthe return trip the plane only avaraged 112km/h. Find the speed of the wind and the speed of the plane still in the air. 1 solutions Answer 372639 by Alan3354(30993)   on 2012-03-07 19:52:29 (Show Source): You can put this solution on YOUR website! I would like help on this problem:Flying to Kampala with a tailwind a plane avaraged 158km/h. Onthe return trip the plane only avaraged 112km/h. Find the speed of the wind and the speed of the plane still in the air. -------------- The plane's airspeed is the average of the 2 trips. The windspeed is the difference between the airspeed and the groundspeed.

Travel_Word_Problems/583944: if you were walking at a rate of 2 miles per hour how many hours would it take you to go 1/2 a mile. 1 solutions Answer 372638 by Alan3354(30993)   on 2012-03-07 19:49:05 (Show Source): You can put this solution on YOUR website! if you were walking at a rate of 2 miles per hour how many hours would it take you to go 1/2 a mile. -------------- d = r*t t = d/r

logarithm/583860: How do you simplify: log100^4x 1 solutions Answer 372629 by Alan3354(30993)   on 2012-03-07 18:25:34 (Show Source): You can put this solution on YOUR website! How do you simplify: log100^4x ------------ 100 = 10^2 --> 100^4x = 10^8x

Miscellaneous_Word_Problems/583866: Moises had scores of 83 76 92 76 and 93 on his history tests. Which of the mean median or mode do you think he should use to describe the test scores? 1 solutions Answer 372628 by Alan3354(30993)   on 2012-03-07 18:22:53 (Show Source): You can put this solution on YOUR website! Moises had scores of Moises had scores of 83 76 92 76 and 93 on his history tests. Which of the mean median or mode do you think he should use to describe the test scores? --------- He can describe them as scores of 83 76 92 76 and 93.

Polynomials-and-rational-expressions/583867: how do you use monomials 1 solutions Answer 372626 by Alan3354(30993)   on 2012-03-07 18:21:09 (Show Source): You can put this solution on YOUR website! how do you use monomials ------- I don't.

Trigonometry-basics/583820: Hi! Find the angle theta between the two vectors. u=10i+40j v=-3j+8k thank you! 1 solutions Answer 372618 by Alan3354(30993)   on 2012-03-07 17:48:22 (Show Source): You can put this solution on YOUR website! Find the angle theta between the two vectors. u=10i+40j v=-3j+8k -------------- Both are in one of the orthogonal planes, so it's 90 degs.

Probability-and-statistics/583849: How many 3-letter code words are possible using the first 7 letters of the alphabet if letters can be repeated? 1 solutions Answer 372616 by Alan3354(30993)   on 2012-03-07 17:44:36 (Show Source): You can put this solution on YOUR website! How many 3-letter code words are possible using the first 7 letters of the alphabet if letters can be repeated? ------- 7^3 = 343

Quadratic-relations-and-conic-sections/583783: How do I write the standard equation for the circle that passes through the points: (-1, 2) (4, 2) (- 3, 4) 1 solutions Answer 372603 by Alan3354(30993)   on 2012-03-07 16:18:09 (Show Source): You can put this solution on YOUR website! How do I write the standard equation for the circle that passes through the points: (-1, 2) (4, 2) (- 3, 4) ----------- Pick 2 of the 3 lines between the 3 points and find the perpendicular bisectors of them. -------- The intersection of the perpendicular bisectors is the center of the circle, (h,k). The radius is the distance from the center to any of the 3 points, = r. --> -------------- Or use determinants.

Travel_Word_Problems/583790: Jenna ran 2 miles in 12 minutes. How fast was jenna running in miles per hours? 1 solutions Answer 372598 by Alan3354(30993)   on 2012-03-07 16:06:07 (Show Source): You can put this solution on YOUR website! Jenna ran 2 miles in 12 minutes. How fast was jenna running in miles per hours? ---------- 12 mins = 1/5 hours d = r*t r = d/t = 2 mi/(0.2) hr r = 10 mi/hr ============ Or, r = 2/12 mi/min * 60 min/hr = 120/12 mi/hr (notice how the units cancel if you do it right) = 10 mi/hr Whichever you prefer

Travel_Word_Problems/583791: You walk at a constant rate of 1.75 miles per hour. If you walked for a 1/2 hours, how far did you walk? 1 solutions Answer 372596 by Alan3354(30993)   on 2012-03-07 16:03:02 (Show Source): You can put this solution on YOUR website! You walk at a constant rate of 1.75 miles per hour. If you walked for a 1/2 hours, how far did you walk? ------------- d = r*t

Polynomials-and-rational-expressions/583780: x^6=117649 I have 7 and -7, but I know there are a total of 6 answers. 1 solutions Answer 372589 by Alan3354(30993)   on 2012-03-07 15:55:42 (Show Source): You can put this solution on YOUR website! x^6=117649 I have 7 and -7, but I know there are a total of 6 answers. ------------- x^6=117649 x^6 - 117649 = 0 Factor out the -7 & +7 Leaves 2 quadratics 2 solutions each. ---------- Or you could use De Moivre's Theorem.

Exponential-and-logarithmic-functions/583758: Suppose the population of a country was 200,000,000. If the population grows by 1.5% annually, by how many people will the population increase in the next 6 years? 1 solutions Answer 372573 by Alan3354(30993)   on 2012-03-07 15:20:57 (Show Source): You can put this solution on YOUR website! Suppose the population of a country was 200,000,000. If the population grows by 1.5% annually, by how many people will the population increase in the next 6 years? Increase = 2E8*(1 + 0.015)^6 - 2E8 = 2E8*(1.105^6 - 1) =~ 2E8*0.09344 =~ 18,688,653

Travel_Word_Problems/583736: An airplane with a speed of 160 knots is headed east while a 24-knot wind is blowing from 240. Find the course and round to the nearest degree. 1 solutions Answer 372569 by Alan3354(30993)   on 2012-03-07 15:04:08 (Show Source): You can put this solution on YOUR website! An airplane with a speed of 160 knots is headed east while a 24-knot wind is blowing from 240. Find the course and round to the nearest degree. --------------- The vectors make a triangle with 160 on the base, a 150 deg angle and the 24 side. If you plot it on the x-y plane with the plane's speed from (0,0) to (160,0) and the wind vector starting at (160,0) length 24, the internal angle is 150 degs. ----------- find the 3rd side: r =~ 181.18 knots (the plane's groundspeed) -------- Use the Sine Law to find the angle at the origin: 181.18/sin(150) = 24/sin(A) sin(A) = 24*sin(150)/181.18 A =~ 3.8 degs --> 4 degs ------ The course = 090 - 4 = 086 ----------------- Note: East is 090 degs heading, and the angles increase clockwise The plane is flying a heading of 090 @ 160 knots Winds are 240 @ 24 kts. "Winds are two-four-zero at two-four." is what is said.

Travel_Word_Problems/583739: if i am going 75mph and going 1000 feet, how many seconds would i travel 1000 feet going 75mph 1 solutions Answer 372564 by Alan3354(30993)   on 2012-03-07 14:52:34 (Show Source): You can put this solution on YOUR website! if i am going 75mph and going 1000 feet, how many seconds would i travel 1000 feet going 75mph ------------ 60 mi/hr = 88 ft/sec (I remember that, you can work it out if you like.) 75 = 60*1.25 75 mi/hr = 88*1.25 ft/sec = 110 ft/sec ----- 1000/110 =~ 9.091 seconds

Linear-systems/583539: Select the best possible first step to solving the system by first eliminating the x variable 3x + 5y = 1 2x + 4y = –4 1 solutions Answer 372505 by Alan3354(30993)   on 2012-03-07 09:16:19 (Show Source): You can put this solution on YOUR website! Select the best possible first step to solving the system by first eliminating the x variable 3x + 5y = 1 2x + 4y = –4 ----------- "best possible" can be a matter of opinion. I would multiply the 2nd equation by 1.5 --> 3x + 6y = -6

Quadratic_Equations/583502: PLEASE help me with this challenging problem!!! An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance around the track is to be 400 meters. Determine the radius of the semicircular ends of the track in terms of y.Use the result to write and equation in terms of x and y for the distance around the track. Use your result from that to write the area A of the rectangular section as function of x.What dimensions for the rectangular region maximize the area (of the rectangular region)? Do not attempt to maximize the area for the whole figure!! 1 solutions Answer 372503 by Alan3354(30993)   on 2012-03-07 09:14:17 (Show Source): You can put this solution on YOUR website! An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance around the track is to be 400 meters. Determine the radius of the semicircular ends of the track in terms of y.Use the result to write and equation in terms of x and y for the distance around the track. Use your result from that to write the area A of the rectangular section as function of x.What dimensions for the rectangular region maximize the area (of the rectangular region)? ---------------- No constraints are given. The track could be circular, or the 2 straight sections almost 200 meters with small diameter circles. ----------------- If the center line of the track is parallel to the y-axis, x is the distance between the parallel straight sections, y = distance between the centers of the semi-circles: Cicumference = pi*x + 2y = 400 meters x = 2r r = x/2 = (400 - 2y)/2pi meters r = (200 - y)/pi meters ------------------------ Rect area = x*y The rect area is a max @ x = y

Numbers_Word_Problems/583516: the sum of the squares of three consecutive positive integers is 365 .find the largest of the three integers 1 solutions Answer 372498 by Alan3354(30993)   on 2012-03-07 08:53:47 (Show Source): You can put this solution on YOUR website! the sum of the squares of three consecutive positive integers is 365 .find the largest of the three integers ------------ 365/3 =~ 121 the middle number --> 10, 11 & 12

Triangles/583553: How do u find the possible range of numbers for the third side? For example if im give numbers 9 and 5 how do find the third side? 1 solutions Answer 372497 by Alan3354(30993)   on 2012-03-07 08:47:01 (Show Source): You can put this solution on YOUR website! How do u find the possible range of numbers for the third side? For example if im give numbers 9 and 5 how do find the third side? ----------- The 3rd side's length has to be greater than the difference of the other 2, and less than the sum of the other 2. For this one, s > 4 and s < 14 4 < s < 14

Geometry_Word_Problems/583563: The perimeter of a pentagon is 315inches. The five sides are represented by consecutive integers. find the measures of the five sides. 1 solutions Answer 372496 by Alan3354(30993)   on 2012-03-07 08:44:24 (Show Source): You can put this solution on YOUR website! The perimeter of a pentagon is 315inches. The five sides are represented by consecutive integers. find the measures of the five sides. ----------- 5 integers = 315 315/5 = 63, the middle number

Square-cubic-other-roots/583561: I am having trouble finding the midpoint of the square roots. I got one of the problems right, but now I can't seem to get this one right. Please help! (2 square root of 5, 3 square root of 3) (3 square root of 5, negative square root of 3) 1 solutions Answer 372494 by Alan3354(30993)   on 2012-03-07 08:38:22 (Show Source): You can put this solution on YOUR website! I am having trouble finding the midpoint of the square roots. I got one of the problems right, but now I can't seem to get this one right. Please help! (2 square root of 5, 3 square root of 3) (3 square root of 5, negative square root of 3) ======================== If those are 2 points and you want the mid-point: Find the average of x & y separately. For x: For y: --> (5sqrt(5)/2,sqrt(3))

Graphs/583566: Determine whether the lines are parallel, perpendicular or neither. There is a discrepancy three of us are having! lol) 3x + 6y =21 -6x + 3y = 9 1 solutions Answer 372492 by Alan3354(30993)   on 2012-03-07 08:33:30 (Show Source): You can put this solution on YOUR website! Determine whether the lines are parallel, perpendicular or neither. There is a discrepancy three of us are having! lol) 3x + 6y =21 -6x + 3y = 9 ------------ Solve for y 3x + 6y =21 y = (-1/2)x + 7/2 Slope m1 = -1/2 ------------------- -6x + 3y = 9 y = 2x + 3 Slope m2 = 2 ----- m1*m2 = -1 --> perpendicular -------- If the slopes are negative inverses --> perpendicular If the slopes are equal --> parallel

Quadratic-relations-and-conic-sections/583417: We are finding the equations for parabola's and graphing them. Here is one of my equations: y+2=-1/12(x-3)^2 Now I have to make up a number for y to find x.(or x to find y, I don't think it matters) Is there an easy way to do this? We just keep getting crazy answers and starting over. Thank you! 1 solutions Answer 372442 by Alan3354(30993)   on 2012-03-06 21:36:07 (Show Source): You can put this solution on YOUR website! We are finding the equations for parabola's and graphing them. Here is one of my equations: y+2=-1/12(x-3)^2 Now I have to make up a number for y to find x.(or x to find y, I don't think it matters) Is there an easy way to do this? We just keep getting crazy answers and starting over. --------------- y+2=-1/12(x-3)^2 Solve for y y = -1/12(x-3)^2 - 2 Pick values for x and find y. Plot the points, draw a curve thru them. ------------- You can use Excel to make a table. ---- You can dl the FREE graph software at http://www.padowan.dk With it, you can make a table, and make the graph.