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# Recent problems solved by 'Alan3354'

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 Travel_Word_Problems/234816: A CAR TRAVELS 540 MILES IN 10 HOURS . HOW FAR WILL IT TRAVEL IN 7 HOURS1 solutions Answer 173962 by Alan3354(30952)   on 2009-11-07 21:49:08 (Show Source): You can put this solution on YOUR website!A CAR TRAVELS 540 MILES IN 10 HOURS . HOW FAR WILL IT TRAVEL IN 7 HOURS ---------- 540/10 = 54 mph 54*7 = 378 miles
 Miscellaneous_Word_Problems/236077: the wavelength(W) of a radio wave varies inversely as its frequency(F). A wave with a frequency of 200kHz has a length of 252m. What is the length of a wave with a frequency of 900kHz?1 solutions Answer 173961 by Alan3354(30952)   on 2009-11-07 21:48:00 (Show Source): You can put this solution on YOUR website!the wavelength(W) of a radio wave varies inversely as its frequency(F). A wave with a frequency of 200kHz has a length of 252m. What is the length of a wave with a frequency of 900kHz? ------------------ 200*252 = k (a constant) L*900 = k = 50400 L = 50400/900 = 56 meters ----------------- ----------------- That's the answer given the data, but it's not correct. The wavelength in meters is 300/f, f = frequency in Megahertz. 200 KHz = 0.2 MHz 300/0.2 = 1500 meters, not 252 meters
 Trigonometry-basics/236180: sin theta and cos theta are given. Find the exact value of the each of the four remaining trigonometric functions. Please explain. sine theta = 2 sqrt5/5, cos theta = sqrt5/51 solutions Answer 173946 by Alan3354(30952)   on 2009-11-07 19:36:25 (Show Source): You can put this solution on YOUR website!sin theta and cos theta are given. Find the exact value of the each of the four remaining trigonometric functions. Please explain. sine theta = 2 sqrt5/5, cos theta = sqrt5/5 ----------- tan = sin/cos cot = cos/sin sec = 1/cos csc = 1/sin ------
 Complex_Numbers/236214: Hello, I'm to find the third roots of 343i written in polar form with arguments in radians. I don't know how to approach this one. Is it actually "0 + 343i"? If so, I find the absolute value to be 343. Then tan (b/a) = tan (343/0) which is undefined. How do I find the angles? Please help me as I'm lost...1 solutions Answer 173944 by Alan3354(30952)   on 2009-11-07 19:22:46 (Show Source): You can put this solution on YOUR website!I'm to find the third roots of 343i written in polar form with arguments in radians. I don't know how to approach this one. Is it actually "0 + 343i"? If so, I find the absolute value to be 343. Then tan (b/a) = tan (343/0) which is undefined. How do I find the angles? -------------- It is 0 + 343i, and r = 343. The angle is 90, but you don't need the tangent z = 0 + 343i = 343cis90 -------- Cube roots are: 7cis30 = 7cis(pi/6) = 7cos(30) + 7isin(30) = 7sqrt(3)/3 + 3i/2 --------------------- Do these 2 the same way. 7cis150 = 7cis(5pi/6) 7cis270 = 7cis(2pi/3)
 Trigonometry-basics/236231: Simplify the trigonometric expression. cos(x)/(tan(x)+sec(x)) 1 solutions Answer 173914 by Alan3354(30952)   on 2009-11-07 16:43:06 (Show Source): You can put this solution on YOUR website!cos(x)/(tan(x)+sec(x)) = cos/((sin/cos) + 1/cos) = cos^2/(sin + 1) = (1-sin^2)/(1+sin) = (1-sin)*(1+sin)/(1+sin) = 1 - sin(x)
 Linear-equations/236161: is 3x-xy+7=0 a linear equation 1 solutions Answer 173913 by Alan3354(30952)   on 2009-11-07 16:40:14 (Show Source): You can put this solution on YOUR website!no, it has an xy term, that's 2nd order.
 test/236229: An arrow is fired into the air with an initial valocity of 96ft/sec. The hieght of the arrow t seconds after it was shot into the air is given by s(t)=-16t^2 +96t. When should the arrow reach its greatest hieght.1 solutions Answer 173912 by Alan3354(30952)   on 2009-11-07 16:39:06 (Show Source): You can put this solution on YOUR website!s(t)=-16t^2 +96t At the vertex, when t = -b/2a t = -96/-32 = 3 seconds (time at max height) t = 3 --------- s(3) = -16*9 + 96*3 s(3) = 144 feet max
 Equations/235814: can you help me factor this problem x^3+9x^2-22x1 solutions Answer 173895 by Alan3354(30952)   on 2009-11-07 15:18:11 (Show Source): You can put this solution on YOUR website!How many ways can you factor 22?
 Trigonometry-basics/234996: PLEASE HEPL ME TO SOLVE DOES FUNCTIONS: 1.sin 205degree 2.cos (-140degree) 3.tan (-40degree) 4.sin 30degree + tan 45degree times cos 90degree1 solutions Answer 173892 by Alan3354(30952)   on 2009-11-07 15:09:33 (Show Source): You can put this solution on YOUR website!PLEASE HEPL ME TO SOLVE DOES FUNCTIONS: Use a calculator 1.sin 205degree = -0.422618261 2.cos (-140degree) = -0.766044443 -------------- 3.tan (-40degree) -0.839099631 ------------ 4.sin 30degree + tan 45degree times cos 90degree = 0.5 + 1*0 = 0.5 #4 is ambiguous. Is cos multipled by tan(45)? or by the sum? Parentheses are free, use some.
 Angles/236198: Four angles of a pentagon have measures 30, 60, 120, and 165. Find the measure of the fifth angle. 1 solutions Answer 173889 by Alan3354(30952)   on 2009-11-07 15:03:33 (Show Source): You can put this solution on YOUR website! Four angles of a pentagon have measures 30, 60, 120, and 165. Find the measure of the fifth angle. ----------- The sum of the angles of any polygon with n sides is 180*(n-2) A pentagon has 5 sides. 180*(3) = 540º 30 + 60 + 120 + 165 = 385º The 5th angle is 540 - 385 = 155º
 Numeric_Fractions/236205: Find al numbers for which the raional expression is undefined. (n^3-3n) / (n^2-4) 1 solutions Answer 173887 by Alan3354(30952)   on 2009-11-07 15:00:57 (Show Source): You can put this solution on YOUR website!It's undefined when the DEN is zero. When (n^2-4) = 0 n = ±2
 Travel_Word_Problems/234960: at 7:00a.m. Joe starts jogging at 6mi/h. At 7:10a.m. Ken starts off after him. How fast must Ken run in order to overtake him at 7:30a.m.? 1 solutions Answer 173882 by Alan3354(30952)   on 2009-11-07 14:13:53 (Show Source): You can put this solution on YOUR website!at 7:00a.m. Joe starts jogging at 6mi/h. At 7:10a.m. Ken starts off after him. How fast must Ken run in order to overtake him at 7:30a.m.? ---------------- 10 min = 1/6 hour Joe goes 1 mile in 1/6 hour - he's one mile ahead. ---------------------- To overtake him in 20 minutes (1/3 hour) Ken has to go 3 mph faster (1 mile in 1/3 hour = 3 mph) Ken has to go 9 mph
 Problems-with-consecutive-odd-even-integers/236044: The product of two positive consecutive integers is 41 more than their sum1 solutions Answer 173878 by Alan3354(30952)   on 2009-11-07 13:41:18 (Show Source): You can put this solution on YOUR website!The product of two positive consecutive integers is 41 more than their sum ------- x*(x+1) = x + (x+1) + 41 (x-7)*(x+6) = 0 x = 7 --> 7 and 8 ------ x = -6 --> -6 and -5
 Exponents-negative-and-fractional/236188: (square root 6mn^)31 solutions Answer 173877 by Alan3354(30952)   on 2009-11-07 13:35:02 (Show Source): You can put this solution on YOUR website!I don't know what that means.
 Miscellaneous_Word_Problems/236185: A t-shirt goes on sale for 20% off the original price. When the shirt is sold, the GST amounts to \$1.68. How much was the original price of the shirt? 1 solutions Answer 173876 by Alan3354(30952)   on 2009-11-07 13:29:08 (Show Source): You can put this solution on YOUR website!Not enough info.
 Number-Line/236106: 1-2 + 3 -4 + ....-98 + 99 equals a) -50 b) -49 c) 0 d) 49 e) 501 solutions Answer 173875 by Alan3354(30952)   on 2009-11-07 12:25:25 (Show Source): You can put this solution on YOUR website!1-2 + 3 -4 + ....-98 + 99 equals a) -50 b) -49 c) 0 d) 49 e) 50 ---------- There are 99 numbers Pair them up: 1+99 = 100 -2-98 = -100 3+97 = 100 etc. The pairs are alternately +100 and -100, until you get to -50. It has nothing to pair with, so the sum is -50
 Systems-of-equations/236173: Simplify and reduce to lowest terms. 1/pit-5-3/pit+5= would the answer be 2? would you not cancel out the bottom figures t-5 and t+5? 1 solutions Answer 173874 by Alan3354(30952)   on 2009-11-07 12:22:35 (Show Source): You can put this solution on YOUR website!1/pit-5-3/pit+5= would the answer be 2? would you not cancel out the bottom figures t-5 and t+5? ------------ Is that pi*t ? The expression is not clear. It could be (1/(pit)) - 5 - (3/pit) + 5 or 1/(pit-5) - 3/(pit+5), or some other combinations. Use some parentheses, they're free.
 Linear-systems/236171: Given the system of equations 2x + 3y = 1 and 14x + 21y = 7, which one of the following statements is true? The system has no solutions. The system has one and only one solution (-1,1). The system has infinitely many solutions. The system has one and only one solution (7,7) 1 solutions Answer 173873 by Alan3354(30952)   on 2009-11-07 12:19:28 (Show Source): You can put this solution on YOUR website! Given the system of equations 2x + 3y = 1 and 14x + 21y = 7, which one of the following statements is true? The system has no solutions. The system has one and only one solution (-1,1). The system has infinitely many solutions. The system has one and only one solution (7,7) ------------------ The 2nd eqn is 7 times the 1st, so they're dependent. 1 eqn in 2 unknowns is a line, with an infinite number of solutions. ----------- BTW, (7,7) is not a solution.
 Word_Problems_With_Coins/234929: Jeb has 25 coins. They are all quarters and nickels. He has a total of \$2.85. How many quarters and nickels does he have?1 solutions Answer 173868 by Alan3354(30952)   on 2009-11-07 11:14:47 (Show Source): You can put this solution on YOUR website!Jeb has 25 coins. They are all quarters and nickels. He has a total of \$2.85. How many quarters and nickels does he have? ------------------- n + q = 25 (25 coins) 5n + 25q = 285 (value of coins) -------------- 2 eqns in 2 unknowns q = 25-n (from eqn 1) Sub for q into eqn 2 -------------- 5n + 25(25-n) = 285 5n + 625 - 25n = 285 -20n = -340 n = 17 nickels q = 8
 Percentage-and-ratio-word-problems/234875: brenda practiced basetball for 3 1/2 hours every day. her brother jason practices for 1 3/4 hours every day. how much more time dodes Brenda spend practicing each day?1 solutions Answer 173867 by Alan3354(30952)   on 2009-11-07 11:08:16 (Show Source): You can put this solution on YOUR website!brenda practiced basetball for 3 1/2 hours every day. her brother jason practices for 1 3/4 hours every day. how much more time dodes Brenda spend practicing each day? ------------ 3.5 - 1.75 = 1.75 hours more per day
 Coordinate-system/234865: what is the equation of the line that has a slope of 5 and passes through the point (4,-18)?1 solutions Answer 173866 by Alan3354(30952)   on 2009-11-07 11:07:10 (Show Source): You can put this solution on YOUR website!I just did one like this: what is the equation of the line that has a slope of 3 and passes through the point (4,-18)? ------------------------ Use y = mx+b to find the y-intercept b m is the slope -------------- -18 = 3*4 + b b = -6 ------ --> y = 3x - 6
 Trigonometry-basics/234857: i need help: find csc theta if sin theta equals negative two thirds and theta is in quadrant four1 solutions Answer 173865 by Alan3354(30952)   on 2009-11-07 11:05:41 (Show Source): You can put this solution on YOUR website!find csc theta if sin theta equals negative two thirds and theta is in quadrant four -------------- csc = 1/sin csc = -3/2 and is in the same quadrant, Q4
 Problems-with-consecutive-odd-even-integers/234860: what are 4 cosecutive numbers when totaled equal 4341 solutions Answer 173864 by Alan3354(30952)   on 2009-11-07 11:04:04 (Show Source): You can put this solution on YOUR website!what are 4 cosecutive numbers when totaled equal 434 ---------- Do these the easy way Find the average: 434/4 = 108.5 2 numbers are just below, 2 above --> 107,108,109,110
 Coordinate-system/234859: what is the equation of the line that has a slope of 3 and passes through the point (4,-18)?1 solutions Answer 173863 by Alan3354(30952)   on 2009-11-07 11:01:56 (Show Source): You can put this solution on YOUR website!what is the equation of the line that has a slope of 3 and passes through the point (4,-18)? ------------------------ Use y = mx+b to find the y-intercept b m is the slope -------------- -18 = 3*4 + b b = -6 ------ --> y = 3x - 6
 Trigonometry-basics/236032: Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator. cos 33pi\4.1 solutions Answer 173862 by Alan3354(30952)   on 2009-11-07 10:37:12 (Show Source): You can put this solution on YOUR website!cos 33pi\4. ------------- 32pi/4 = 8pi which is 4 revolutions. Subtract that. --> cos(pi/4) = sqrt(2)/2 I didn't use a calculator, I know that one. It's 1/8 of a revolution, or 45º. If you plot it on a unit circle, x and y are equal, and r is x*sqrt(2) cos = x/r = sqrt(2)/2
 Square-cubic-other-roots/236113: I am supposed to simplify this cubed root by taking roots of the numerator and denominator: 3 sqrt 729x^11/y^3 Is the root a real number? I don't think it is, but am not sure.1 solutions Answer 173860 by Alan3354(30952)   on 2009-11-07 10:05:57 (Show Source): You can put this solution on YOUR website!3 sqrt 729x^11/y^3 ---------- = (9x^3/y) * cube root of(x^2)
 logarithm/236129: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year.) Use the exponential growth model P(t) = P0ekt. ___ 1 year ___ 9 years ___ 57 years ___ 20 years 1 solutions Answer 173859 by Alan3354(30952)   on 2009-11-07 10:03:39 (Show Source): You can put this solution on YOUR website!I just did this one.
 Proportions/236133: I really need help. n+2/15=n-4/25 they are fractions Thanks -Drea1 solutions Answer 173858 by Alan3354(30952)   on 2009-11-07 09:51:26 (Show Source): You can put this solution on YOUR website!n+2/15=n-4/25 -------------- Multiply by 75 5(n+2) = 3(n-4) 5n+10 = 3n-12 2n = -2 n = -1
 Equations/236136: what is the product of 2 1/4 and 5 1/6?1 solutions Answer 173857 by Alan3354(30952)   on 2009-11-07 09:49:43 (Show Source): You can put this solution on YOUR website!what is the product of 2 1/4 and 5 1/6? = (9/4)*(31/6) = 279/24 = 93/8
 logarithm/236134: How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year.) Use the exponential growth model P(t) = P e kt. 0 1 year 9 years 57 years 20 years 1 solutions Answer 173856 by Alan3354(30952)   on 2009-11-07 09:41:37 (Show Source): You can put this solution on YOUR website!How long will it take for the population of a certain country to double if its annual growth rate is 3.5%? (Round to the nearest year.) Use the exponential growth model P(t) = P e kt. -------------- Future P = P*e^kt 2*P = P*e^0.035t 2 = e^0.035t ln(2) = 0.035t t = ln(2)/0.035 t = 19.8 years ~ 20 years
 Square-cubic-other-roots/236114: I am supposed to multiply and simplify these cubed roots by factoring: 3 sqrt y^13 3 sqrt 81 y^18 The answer I got was 3 sqrt 9y^27 but I am sure that's not correct1 solutions Answer 173855 by Alan3354(30952)   on 2009-11-07 09:27:40 (Show Source): You can put this solution on YOUR website! I am supposed to multiply and simplify these cubed roots by factoring: 3 sqrt y^13 3 sqrt 81 y^18 -------------- Cube root is exponent 1/3 = = = 3y^10 * cube root(3y)