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Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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Volume/284599: Mary can turn off her car alarm from up to 15 yards away. Will she be able to do it from the far corner of a 15-yard by 12-yard parking lot if her car is parked in the diagonally opposite corner from where she is standing? i know that you can't do the problem, but how can you not solve it? 1 solutions Answer 206457 by Alan3354(30993)   on 2010-03-23 19:52:16 (Show Source): You can put this solution on YOUR website! The distance across the diagonal is greater than 15 yards. The diagonal = = =~ 19.2 yards -------------- It's stated that she can turn it off from 15 yards, or "up to" 15 yards. It does not say that 15 yards is the maximum, or "up to but not exceeding", so whether or not it will work from 19.2 yards is not known. ------------- Another example of a poorly worded problem.

Volume/284595: What is the longest length of an umbrella that will lay flat in the bottom of a backpack that is 12 inches by 17 inches. 1 solutions Answer 206456 by Alan3354(30993)   on 2010-03-23 19:46:49 (Show Source): You can put this solution on YOUR website! The diagonal = = =~ 20.8 inches

Problems-with-consecutive-odd-even-integers/284569: whats the two integers of 273 1 solutions Answer 206455 by Alan3354(30993)   on 2010-03-23 19:44:35 (Show Source): You can put this solution on YOUR website! whats the two integers of 273 ------------ I'm not sure what that means, but 273 = 3*7*13

Polygons/284585: The lenghts of the side of a triangle are 6, 7, and 8. Which of the following represents the length of te longest side of a similar triangle whose shortest side has a length of 9? 1 solutions Answer 206454 by Alan3354(30993)   on 2010-03-23 19:40:32 (Show Source): You can put this solution on YOUR website! I don't see anything following.

Travel_Word_Problems/284553: If las Angeles is 3 hours behind new york. if it is 1:15 in new york what time is it in Las angelas. show the work 1 solutions Answer 206448 by Alan3354(30993)   on 2010-03-23 18:45:46 (Show Source): You can put this solution on YOUR website! Where is "Las angelas" ?? Wherever it is, 1:15 - 3:00 --> 10:15

Square-cubic-other-roots/284548: How do I do a problem like 5√36? I'm not that good at simplifying either. 1 solutions Answer 206447 by Alan3354(30993)   on 2010-03-23 18:43:53 (Show Source): You can put this solution on YOUR website! First, what do you want to do? A problem should state, "Do ... " something. What do you want to do?

Roman-numerals/284530: How do I know if it's roman numeral 6 or roman numeral 4 1 solutions Answer 206446 by Alan3354(30993)   on 2010-03-23 18:42:15 (Show Source): You can put this solution on YOUR website! How do you know if WHAT is 6 or 4? Maybe it's 10.

Graphs/284486: how do i find the slope for (9,4) and (-11,4) using the the slope formula 1 solutions Answer 206428 by Alan3354(30993)   on 2010-03-23 16:52:26 (Show Source): You can put this solution on YOUR website! Slope, m = diffy/diffx The difference in y is zero, so the slope is zero (0).

Travel_Word_Problems/284442: A plane flies 600 miles per hour with the wind and 530 miles per hour against the wind. Find the speed of the wind and the speed of the plane in still air. 1 solutions Answer 206406 by Alan3354(30993)   on 2010-03-23 15:32:20 (Show Source): You can put this solution on YOUR website! The "speed of the plane in still air" is called the airspeed. It's the average of the 2 groundspeeds. = (600 + 530)/2 = 565 mph --------- The wind speed is the difference: 600 - 565 = 35 mph

Graphs/284449: how do i write y=3-6x in slope intercept form. 1 solutions Answer 206401 by Alan3354(30993)   on 2010-03-23 15:19:25 (Show Source): You can put this solution on YOUR website! y = -6x + 3

Systems-of-equations/284406: please help me solve this X+Y+Z=22 X+Y=15 3X+Y+Z=37 1 solutions Answer 206400 by Alan3354(30993)   on 2010-03-23 14:20:49 (Show Source): You can put this solution on YOUR website! X+Y+Z=22 X+Y=15 3X+Y+Z=37 ------------- X+Y+Z=22 X+Y=15 ----------- Subtract z = 7 ------- 3X+Y+Z=37 3x+y+7 = 37 3x+y = 30 x +y = 15 ----------- Subtract 2x = 15 x = 15/2 y = 15/2 z = 7

Volume/284428: V=4/3*3.14*9^3 1 solutions Answer 206399 by Alan3354(30993)   on 2010-03-23 14:16:22 (Show Source): You can put this solution on YOUR website! Do you have a question?

Linear-systems/284424: x+y=7 and 2x+3y=19 can you solve this problem and what should I study to understand this problem. 1 solutions Answer 206397 by Alan3354(30993)   on 2010-03-23 14:04:00 (Show Source): You can put this solution on YOUR website! 2x+3y+19 has no equal sign.

Quadratic_Equations/284087: I need help with this one homework question. A ball is thrown into the air with an initial upward velocity of 60ft/sec. Its height (h) in feet after 1 sec is given by the function h=-16t2(2= squared cant make a little 2)+60t +6 a: after how many seconds will the ball hit the ground? b: what will the height be at if t= 3 seconds i think for part be the answer is 42 ive plugged in 3 for t and got 42 i have no idea how to get part A 1 solutions Answer 206394 by Alan3354(30993)   on 2010-03-23 13:38:40 (Show Source): You can put this solution on YOUR website! A ball is thrown into the air with an initial upward velocity of 60ft/sec. Its height (h) in feet after 1 sec is given by the function h=-16t2(2= squared cant make a little 2)+60t +6 Not for 1 second, but at t seconds ------------------------------------ a: after how many seconds will the ball hit the ground? It hits the ground when h(t) = 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=996 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -0.0974667297574374, 3.84746672975744. Here's your graph: Use the + value, ~3.847 seconds -------------------------------- b: what will the height be at if t= 3 seconds h(3) = -16*9 + 60*3 + 6 = -144 + 180 + 6 h(3) = 42 feet ------------------ i think for part be the answer is 42 ive plugged in 3 for t and got 42 i have no idea how to get part A

Equations/284413: A desk is on sale for 34% off. The sale price is $363. What is the regular price? 1 solutions Answer 206393 by Alan3354(30993)   on 2010-03-23 13:29:43 (Show Source): You can put this solution on YOUR website! $363 = 66% of the original price (100 - 34) OP = 363/0.66 OP = $550

logarithm/284412: change to a logarithm 3^-2=1/9 1 solutions Answer 206391 by Alan3354(30993)   on 2010-03-23 13:26:13 (Show Source): You can put this solution on YOUR website!

Miscellaneous_Word_Problems/284304: The number of bacteria in a jar triples every twenty seconds. After three minutes, 275 562 bacteria are in the jar. How many bacteria were in the jar at the beginning of the experiment? (A) 9 (B) 24 (C) 14 (D) 27 (E) 8 1 solutions Answer 206374 by Alan3354(30993)   on 2010-03-23 12:31:25 (Show Source): You can put this solution on YOUR website! The number of bacteria in a jar triples every twenty seconds. After three minutes, 275 562 bacteria are in the jar. How many bacteria were in the jar at the beginning of the experiment? (A) 9 (B) 24 (C) 14 (D) 27 (E) 8 -------------------------------- 3 minutes = 9 time periods 3^9 = 19683 275562/19683 = 14 C

Quadratic_Equations/284371: determine the nature of the solutions to the equation x2+5x-2=0 1 solutions Answer 206357 by Alan3354(30993)   on 2010-03-23 11:38:12 (Show Source): You can put this solution on YOUR website! It's a parabola. It has 2 real roots. It "opens upward", that is, y increases with x as x moves away from the line of symmetry.

Linear-equations/284344: Find an equation of the line that passes through the point and has the indicated slope m (-5, -7); m = -6 1 solutions Answer 206345 by Alan3354(30993)   on 2010-03-23 10:58:42 (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 have the same slope. 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.

Percentage-and-ratio-word-problems/284306: An automobile’s speed increases by 25% and then decreases by 10%. What is the percentage change in speed compared to the automobile’s original speed? (A) -15% (B) 1.25% (C) 15% (D) 12.5% (E) 125% 1 solutions Answer 206336 by Alan3354(30993)   on 2010-03-23 10:15:27 (Show Source): You can put this solution on YOUR website! An automobile’s speed increases by 25% and then decreases by 10%. What is the percentage change in speed compared to the automobile’s original speed? (A) -15% (B) 1.25% (C) 15% (D) 12.5% (E) 125% ------------------- Original speed = 100 (to make it easier) +25% --> 125 -10% --> 125*0.9 = 112.5 An increase of 12.5% D

Polygons/284187: how many sides does a polygon havi if the sum of its interoir angels is 3240 1 solutions Answer 206327 by Alan3354(30993)   on 2010-03-23 10:02:56 (Show Source): You can put this solution on YOUR website! (n-2)*180 = 3240 n-2 = 18 n = 20

Quadratic-relations-and-conic-sections/284327: What are real life examples of a hyperbola? 1 solutions Answer 206322 by Alan3354(30993)   on 2010-03-23 09:54:50 (Show Source): You can put this solution on YOUR website! A simple one is the familiar distance = rate * time d = rt If you make it t = d/r and graph t vs r, it's a hyperbola. It's not the classic x^2 - y^2 hyperbola, but it is a hyperbola.

testmodule/284311: differentiate the following with regard to x: 1 solutions Answer 206315 by Alan3354(30993)   on 2010-03-23 09:20:36 (Show Source): You can put this solution on YOUR website! differentiate the following with regard to x: y' = or ------------------------ PS It's "with respect to x"

Numbers_Word_Problems/284318: WHAT IS FOUR CONSECUTIVE ODD INTEGERS THAT HAVE A SUM OF 344 1 solutions Answer 206310 by Alan3354(30993)   on 2010-03-23 09:04:13 (Show Source): You can put this solution on YOUR website! 344/4 = 86, which is in the middle of the 4 --> 83, 85, 87 & 89

Miscellaneous_Word_Problems/284326: Two cars drive toward each other, one driving at 60 mph and one driving at 30mph, after 10 minutes they pass, how far apart were they when they started? Is the answer 9 miles apart? 1 solutions Answer 206309 by Alan3354(30993)   on 2010-03-23 09:00:30 (Show Source): You can put this solution on YOUR website! Two cars drive toward each other, one driving at 60 mph and one driving at 30mph, after 10 minutes they pass, how far apart were they when they started? Is the answer 9 miles apart? -------------- When going in opposite directions their speeds are added. 60 + 30 = 90 mph 10 mins = 1/6 hour 90 miles/hour * (1/6 hour) = 15 miles

Triangles/284213: if the leg of a right triangle have measure 7 and 18, find the measures of the two acute angles to the nearest degree. 1 solutions Answer 206254 by Alan3354(30993)   on 2010-03-22 22:44:12 (Show Source): You can put this solution on YOUR website! 1 angle = arctan(7/18) 2nd angle = arctan(18/7)

Trigonometry-basics/284198: tan 45degrees + cot 45degrees 1 solutions Answer 206252 by Alan3354(30993)   on 2010-03-22 22:33:30 (Show Source): You can put this solution on YOUR website! tan 45degrees + cot 45degrees = 1 + 1 = 2

Polynomials-and-rational-expressions/284250: A diver jumps from a 48 ft cliff into the ocean below with the initial velocity of 8 ft per sec.. The height of the diver from the ocean after t sec is given by h = -16t^2 + 8t + 48. When does the diver hit the water? 1 solutions Answer 206251 by Alan3354(30993)   on 2010-03-22 22:31:48 (Show Source): You can put this solution on YOUR website! He hits the water when h = 0 ---------------------- h = -16t^2 + 8t + 48 -16t^2 + 8t + 48 = 0 -2t^2 + t + 3 = 0 (-2t + 3)*(t + 1) = 0 t = -1 (ignore) t = 1.5 seconds

Trigonometry-basics/284200: sin^2 60degree - cos^2 30degree 1 solutions Answer 206207 by Alan3354(30993)   on 2010-03-22 20:58:12 (Show Source): You can put this solution on YOUR website! sin^2 60degree - cos^2 30degree ----------- cos(30) = sin(60) sin^2 60degree - cos^2 30degree = 0

Linear-equations/284101: find distance from origin to line when y=2 i know the answer is -2 but i can't show my work so i was wondering if any1 could help me with that 1 solutions Answer 206205 by Alan3354(30993)   on 2010-03-22 20:56:02 (Show Source): You can put this solution on YOUR website! Distance is always positive. If a direction is also specified, that might be considered positive or negative, but distance is a measure of how far apart 2 points are. ------------- y = 2 is parallel to the x-axis, and 2 units "above" it. The distance from a point to a line is the minimum distance, which is from the point and perpendicular to the line. In this case from (0,0) to (2,0). ------------------- The distance is 2.

Linear-equations/284185: passing through (-2,6) and perpendicular to the line whose equation is y=1/3x+4 1 solutions Answer 206200 by Alan3354(30993)   on 2010-03-22 20:42:44 (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 have the same slope. 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.