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Recent problems solved by 'Alan3354'

Alan3354 answered: 31498 problems
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Travel_Word_Problems/718735: An airplane travels 1000 km with an average speed of 30 meters per second 1 solutions Answer 441020 by Alan3354(31519)   on 2013-02-25 15:13:29 (Show Source): You can put this solution on YOUR website! An airplane travels 1000 km with an average speed of 30 meters per second ------------- That sounds reasonable.

Travel_Word_Problems/718631: If you are travelling at 70 kms per hour how long does it take you to travel 50 kms? 1 solutions Answer 440976 by Alan3354(31519)   on 2013-02-25 10:00:30 (Show Source): You can put this solution on YOUR website! If you are travelling at 70 kms per hour how long does it take you to travel 50 kms? ------------- d = r*t t = d/r

Linear-equations/718593: Find the equation of a line parallel to the given line but passing through the given point. Y=-X=3(-2,-2) 1 solutions Answer 440973 by Alan3354(31519)   on 2013-02-25 09:24:06 (Show Source): You can put this solution on YOUR website! Find the equation of a line parallel to the given line but passing through the given point. Y=-X=3(-2,-2) ------------ Too many equal signs.

Radicals/718452: Please help me solve this equation: sqrt810+sqrt240-sqrt250 1 solutions Answer 440898 by Alan3354(31519)   on 2013-02-24 20:46:09 (Show Source): You can put this solution on YOUR website! Please help me solve this equation: sqrt810+sqrt240-sqrt250 ------------------ There's no equal sign --> not an equation.

Trigonometry-basics/718444: Please help me solver this last few problems: tan^(2)(θ)+5=sec^(2)(θ)+4 tan x cot x/cos x= sec x tan(theta)sin(theta)+cos(theta)=sec(theta) 1 solutions Answer 440897 by Alan3354(31519)   on 2013-02-24 20:45:10 (Show Source): You can put this solution on YOUR website! Please help me solver this last few problems: tan^(2)(θ)+5=sec^(2)(θ)+4 tan x cot x/cos x= sec x tan(theta)sin(theta)+cos(theta)=sec(theta) ----------------- What do you want to do?

Numbers_Word_Problems/718379: what is 6x^2=54 1 solutions Answer 440874 by Alan3354(31519)   on 2013-02-24 18:58:58 (Show Source): You can put this solution on YOUR website! what is 6x^2=54 ------------- It's an equation.

decimal-numbers/718375: what does pytogeroem theorem mean? 1 solutions Answer 440872 by Alan3354(31519)   on 2013-02-24 18:47:56 (Show Source): You can put this solution on YOUR website! what does pytogeroem theorem mean? --------- It means what it says.

test/718369: How would I find the adjacent side of a right triangle that's theta angle is 60 degrees and the hyp is 16 1 solutions Answer 440870 by Alan3354(31519)   on 2013-02-24 18:46:15 (Show Source): You can put this solution on YOUR website! How would I find the adjacent side of a right triangle that's theta angle is 60 degrees and the hyp is 16 -------------- A "theta angle" is not defined. Both sides of a right triangle are adjacent to the right angle. Not enough info.

Surface-area/718363: a cube has surface area of 2,400 m2. What is the length of each edge? 1 solutions Answer 440868 by Alan3354(31519)   on 2013-02-24 18:29:28 (Show Source): You can put this solution on YOUR website! a cube has surface area of 2,400 m2. What is the length of each edge? ---------- SA of a cube = 6s^2 (s = side length)

test/718338: Solve -3*e^(2x)+7=120 1 solutions Answer 440864 by Alan3354(31519)   on 2013-02-24 18:01:58 (Show Source): You can put this solution on YOUR website! duplicate

test/718337: Solve -3*e^(2x)+7=120 1 solutions Answer 440863 by Alan3354(31519)   on 2013-02-24 17:57:06 (Show Source): You can put this solution on YOUR website! Solve -3*e^(2x)+7=120 -3e^(2x) = 113 e^(2x) = -113/3 2x = ln(-113/3) logs of negative numbers not allowed. --> no solution

Graphs/718082: Find the equation of the line tangent to the given circle and passing through the given point 1. x^2+y^2= 26 (4,6) 1 solutions Answer 440769 by Alan3354(31519)   on 2013-02-24 08:58:45 (Show Source): You can put this solution on YOUR website! Find the equation of the line tangent to the given circle and passing through the given point 1. x^2+y^2= 26 (4,6) --------------------------- There are 2 tangent lines thru the point. The point, the tangent points and the center make right triangles. --- Find the distance from the point to the center of the circle d = sqrt(52) = the hypotenuse The radius is one side of the triangle, length = sqrt(26) Use Pythagoras to find the distance from the point to the tangent points, = sqrt(26) -------------- The tangent points are the intersections of the given circle and a circle of radius sqrt(26) centered at (4,6) ------------- Find the 2 intersections. ---- The 2 lines are the lines thru the tangent point and (4,6) ================= email via the Thank You note for help, or to check your work.

Polynomials-and-rational-expressions/718125: Simplify the followin fraction to its lowest terms 12abc^2/4ab^-1c 1 solutions Answer 440766 by Alan3354(31519)   on 2013-02-24 08:40:25 (Show Source): You can put this solution on YOUR website! Simplify the followin fraction to its lowest terms 12abc^2/4ab^-1c ---------------- Notice that the coefficients are both even numbers. Multiply NUM and DEN by b See what's left.

Bodies-in-space/718108: How long wold it take a sample of Am-241 to reduced to 25% of its original value? 1 solutions Answer 440760 by Alan3354(31519)   on 2013-02-24 08:06:54 (Show Source): You can put this solution on YOUR website! How long wold it take a sample of Am-241 to reduced to 25% of its original value? ------------------- Two (2) times its half-life.

Travel_Word_Problems/718121: An Aeroplane flew from Point a to Point b The distance flown was 135 km the average speed was 180 km/h Work out the time taken. Please give the answer in minutes. 1 solutions Answer 440757 by Alan3354(31519)   on 2013-02-24 08:02:39 (Show Source): You can put this solution on YOUR website! An Aeroplane flew from Point a to Point b The distance flown was 135 km the average speed was 180 km/h Work out the time taken. Please give the answer in minutes. ------------------------ d = r*t t = d/r (in hours) Hrs times 60 --> minutes

percentage/718120: If you want to make 60mls of a 5% boric acid in alcohol solution how much boric acid would you need? 1 solutions Answer 440755 by Alan3354(31519)   on 2013-02-24 08:01:20 (Show Source): You can put this solution on YOUR website! If you want to make 60mls of a 5% boric acid in alcohol solution how much boric acid would you need? ----------------------- 0.05*60 = 3 ml of boric acid 57 mls of alcohol

Trigonometry-basics/717853: Use identities and definitions to show that cos theta = sin theta cot theta 1 solutions Answer 440750 by Alan3354(31519)   on 2013-02-24 07:52:59 (Show Source): You can put this solution on YOUR website! Use identities and definitions to show that cos theta = sin theta cot theta -------------- cos theta = sin theta cot theta cot = cos/sin cos = sin*(cos/sin) cos = cos QED

Trigonometry-basics/718028: cot^2x-1; solve in terms of sinx 1 solutions Answer 440747 by Alan3354(31519)   on 2013-02-24 07:49:02 (Show Source): You can put this solution on YOUR website! cot^2x-1; solve in terms of sinx ------------ cot^2x-1 It's not an equation, so there's nothing to solve. If you want to write it in terms of sine: cot^2x-1 = cos^2/sin^2 - 1 =

Travel_Word_Problems/718025: Question: If a plane can travel 500 miles per hour with the wind and 420 miles per hour against the wind, what is the speed of the plane in still air? 1 solutions Answer 440746 by Alan3354(31519)   on 2013-02-24 07:45:43 (Show Source): You can put this solution on YOUR website! If a plane can travel 500 miles per hour with the wind and 420 miles per hour against the wind, what is the speed of the plane in still air? ----------- It's the average of the 2, (500 + 420)/2 = 460 mi/hr It's called airspeed.

Radicals/718113: How can you round 20 over radical 2? 1 solutions Answer 440744 by Alan3354(31519)   on 2013-02-24 07:35:47 (Show Source): You can put this solution on YOUR website! How can you round 20 over radical 2? ------------ You can use a calculator =~ 14.14213 ----------------- If you mean rationalize: =

Age_Word_Problems/718085: in 10 years a baby will be 6 times as old as it is now find the present age of baby 1 solutions Answer 440732 by Alan3354(31519)   on 2013-02-24 04:40:09 (Show Source): You can put this solution on YOUR website! in 10 years a baby will be 6 times as old as it is now find the present age of baby ------------- n = age now 6n = n + 10

Age_Word_Problems/718093: A boy is 12 years old. His mother is four times as old as he is. In x years time, the mother will be three times as old as the son. find x. 1 solutions Answer 440731 by Alan3354(31519)   on 2013-02-24 04:38:54 (Show Source): You can put this solution on YOUR website! A boy is 12 years old. His mother is four times as old as he is. In x years time, the mother will be three times as old as the son. find x. ---------------- His mother is now 48. The age difference is 36, which is constant. m = 3b (mom is 3 times as old) m = b + 36 ---------- Solve for m or b

test/718001: A rectangle's width is one-seventh its length, and its perimeter is 112 m. Find the dimensions of the rectangle. 1 solutions Answer 440730 by Alan3354(31519)   on 2013-02-24 04:12:21 (Show Source): You can put this solution on YOUR website! A rectangle's width is one-seventh its length, and its perimeter is 112 m. Find the dimensions of the rectangle. ------------- 7 by 49 meters

Travel_Word_Problems/718081: If you travel 9.6 miles in 24 minutes, how fast are u goin? 1 solutions Answer 440729 by Alan3354(31519)   on 2013-02-24 04:09:37 (Show Source): You can put this solution on YOUR website! If you travel 9.6 miles in 24 minutes, how fast are u goin? ----- 9.6 mi/24 min = 0.4 mi/minute

test/718089: When a car rounds a curve at a certain speed its centripetal acceleration is 3.0m/s^2. What will the acceleration be if it rounds the same curve at twice the speed? (ANS: 12.0m/s^2) 1 solutions Answer 440728 by Alan3354(31519)   on 2013-02-24 04:07:55 (Show Source): You can put this solution on YOUR website! When a car rounds a curve at a certain speed its centripetal acceleration is 3.0m/s^2. What will the acceleration be if it rounds the same curve at twice the speed? (ANS: 12.0m/s^2) ------------------ It's 12 CF = mv^2/r It's a function of the square of the speed. (2v)^2 = 4v^2 --> 4 times

Radicals/717978: 2(radical sign))54 and -2(radical sign) 6a^3 multiply (radical sign)3a When you have a number infront of the radical what do you do? and say you simplify a radical and then the answer has a number infront of the radical do you keep it or do you have to simplify it more like these problems? 1 solutions Answer 440643 by Alan3354(31519)   on 2013-02-23 19:34:38 (Show Source): You can put this solution on YOUR website! 2(radical sign))54 and -2(radical sign) 6a^3 multiply (radical sign)3a When you have a number infront of the radical what do you do? and say you simplify a radical and then the answer has a number infront of the radical do you keep it or do you have to simplify it more like these problems? =============== Use 2sqrt(54) for 2(radical sign....

Equations/717975: A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current? 1 solutions Answer 440627 by Alan3354(31519)   on 2013-02-23 18:20:26 (Show Source): You can put this solution on YOUR website! A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current? ----------------- Find the 2 speeds, d/stream and u/stream Use d = r*t r = d/t ------- The boat's speed is the average of the 2 speeds. The current is the difference is boat speed and either of the others.

Money_Word_Problems/717932: how much money do i need to net EXACTLY $25,000 in 8 years at 5%interest compounded annually? Carrying out three decimal points then round to nearest $ 1 solutions Answer 440589 by Alan3354(31519)   on 2013-02-23 15:25:24 (Show Source): You can put this solution on YOUR website! how much money do i need to net EXACTLY $25,000 in 8 years at 5%interest compounded annually? -------------------- Interest = AMT*(1.05)^n - AMT = 25000 AMT*(-1 + 1.05^8) = 25000 AMT = 25000/(-1 +1.05^8) AMT =~ $52,360.9068

logarithm/717878: log(3)*(5/4) 1 solutions Answer 440586 by Alan3354(31519)   on 2013-02-23 13:56:49 (Show Source): You can put this solution on YOUR website! log(3)*(5/4) -------------- I don't know what that means. Is it log base 3? Or log(3) times (5/4) -------- (5/4)*log(3) =~ 0.5964

Rate-of-work-word-problems/717891: Could you please help me with this problem? Problem: Ben plans to take a bath but forgets to close the drain. The bath usually takes ten minutes to fill and 12 minutes to empty. How long will it be before the bath is filled if Ben continues to not notice that the drain is open? Thank you for your help. 1 solutions Answer 440585 by Alan3354(31519)   on 2013-02-23 13:31:04 (Show Source): You can put this solution on YOUR website! Ben plans to take a bath but forgets to close the drain. The bath usually takes ten minutes to fill and 12 minutes to empty. How long will it be before the bath is filled if Ben continues to not notice that the drain is open? ------------------------------ The spigots add 1/10 of the bath per minute The drain loses 1/12 of the bath per minute --- Together, 1/10 - 1/12 is added per minute 1/10 - 1/12 = (12 - 10)/120 = 2/120 = 1/60 of the bath per minute --> 60 minutes per bath to fill. =============== He should take a shower, anyway.

Numeric_Fractions/717885: Could you please help me with this problem? Problem: For what value is the fraction (15-x)/(x+1)unidentified? Any help you could provide for this problem would be greatly appreciated. 1 solutions Answer 440584 by Alan3354(31519)   on 2013-02-23 13:27:27 (Show Source): You can put this solution on YOUR website! For what value is the fraction (15-x)/(x+1)unidentified? ---------------- x = -1 makes the denominator zero --> undefined (not unidentified)