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# Recent problems solved by 'Alan3354'

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 Polynomials-and-rational-expressions/427313: simplify a. 6^2= b. 6^-2= c. (1/6)^2= d. (1/6)^-2= e. -6^2= f. (-6)^2=1 solutions Answer 297164 by Alan3354(30993)   on 2011-03-26 09:51:58 (Show Source): You can put this solution on YOUR website!simplify a. 6^2= b. c. (1/6)^2= d. (1/6)^-2= 6^2 e. -6^2= -36 f. (-6)^2= Use a calculator for the others, if necessary.
 Coordinate-system/426887: solve. p=6n-5n/141 solutions Answer 297163 by Alan3354(30993)   on 2011-03-26 09:50:15 (Show Source): You can put this solution on YOUR website! p=6n-5n/14 p = n/14 n = 14p
 Radicals/426841: I need some help on this problem, can someone help me? sqrt of 9x+25/81 1 solutions Answer 297162 by Alan3354(30993)   on 2011-03-26 09:48:21 (Show Source): You can put this solution on YOUR website!What do you want to do? What terms are under the radical? Use parentheses.
 Travel_Word_Problems/426820: A boat goes upstream 600 m, moving 30 m/min through the water. The boat travels back downstream to the starting point, this time only going 20 m/min through the water. The total time spent is 75 minutes. How fast was the current flowing?1 solutions Answer 297159 by Alan3354(30993)   on 2011-03-26 09:26:56 (Show Source): You can put this solution on YOUR website!A boat goes upstream 600 m, moving 30 m/min through the water. The boat travels back downstream to the starting point, this time only going 20 m/min through the water. The total time spent is 75 minutes. How fast was the current flowing? --------------- b = boat's speed relative to the water c = current ------------- Upstream + downstream = 75 mins 600/(30 - c) + 600/(20 + c) = 75 One equation and one variable (c-20)*(c+10) = 0 c = 20 m/min
 Quadratic_Equations/427178: The motion of an autombile acceleration away from traffic light is represented by the funcitond(t) = 9t^2, where t is the time in seconds and d(t) is the distanct covered by the automobile. Approximately how many seconds does it take for the automobile to travel 180 feet?1 solutions Answer 297156 by Alan3354(30993)   on 2011-03-26 08:47:44 (Show Source): You can put this solution on YOUR website!The motion of an autombile acceleration away from traffic light is represented by the funciton d(t) = 9t^2, where t is the time in seconds and d(t) is the distanct covered by the automobile. Approximately how many seconds does it take for the automobile to travel 180 feet? ------------ d(t) = 9t^2 = 180 t^2 = 20 t =~ 4.472 seconds
 Coordinate-system/427180: given the linear equation y=-4/7x-5 find the y- coordinates of the points (-7,),(0,), and (7,) plot those points and graph the linear equation1 solutions Answer 297153 by Alan3354(30993)   on 2011-03-26 08:41:09 (Show Source): You can put this solution on YOUR website!given the linear equation y=-4/7x-5 find the y- coordinates of the points (-7,),(0,), and (7,) plot those points and graph the linear equation ------------ Sub the values for x and find y. I think you mean y = -(4/7)x - 5 @ x = -7, y = -4 - 5 = -9 @ x = 0, y = -5 Do the same for x = 7 ----------------- Get the FREE graph software at http://www.padowan.dk
 Pythagorean-theorem/427243: If a rectangular TV screen is 45 cm long and and 32 cm wide, what is the diagonal measurement of the screen? I tried 45^2 + 32^2 = X^2, but i am not sure this is the correct answer. 2025 + 1024 = X^2 sqrt ( 3049 ) = x x = 55.22 cm long? 1 solutions Answer 297146 by Alan3354(30993)   on 2011-03-26 07:59:08 (Show Source): You can put this solution on YOUR website!That's correct.
 Complex_Numbers/427286: what is the answer to the question (-2 - 4i)(8 - 3i)1 solutions Answer 297145 by Alan3354(30993)   on 2011-03-26 07:57:12 (Show Source): You can put this solution on YOUR website!What is your question? (-2 - 4i)(8 - 3i) is not a question. ---------------------- If you want to multiply those, = -2(8 - 3i) - 4i(8 - 3i) same as always = = = -28 - 26i
 Radicals/427242: I am in a bit of a pickle and could sure use some help on this radical problem: 3( `sqrt(7)` + `sqrt(6)` ) + 2 ( `sqrt(6)` + `sqrt(7)` ) Can someone help?1 solutions Answer 297126 by Alan3354(30993)   on 2011-03-26 02:15:27 (Show Source): You can put this solution on YOUR website!I don't know what those marks mean. 3( `sqrt(7)` + `sqrt(6)` ) + 2 ( `sqrt(6)` + `sqrt(7)` ) =
 Polynomials-and-rational-expressions/427269: Hi I really need help with this math problem-----> find all numbers for which the rational expression is undefined 8/v-21 solutions Answer 297125 by Alan3354(30993)   on 2011-03-26 02:12:52 (Show Source): You can put this solution on YOUR website!2. It makes the denominator zero.
 Radicals/427219: I am trying to get an answer to this one: sqrt(5)xsqrt(35)=1 solutions Answer 297090 by Alan3354(30993)   on 2011-03-25 21:08:16 (Show Source): You can put this solution on YOUR website!sqrt(5)*sqrt(35) Use the asterisk for multiply, x is often used for other things. ---------- =
 Linear_Equations_And_Systems_Word_Problems/427218: Each of 2 brothers can wash a car in 1 hr.However their sister can wash the car in 45 mins., if all 3 works together how long will it take to wash the car? 1 solutions Answer 297089 by Alan3354(30993)   on 2011-03-25 21:04:23 (Show Source): You can put this solution on YOUR website!Use minutes for all 3 1 car in 60 mins --? 1/60 car/minute With all three, they do 1/60 + 1/60 + 1/45 car/min = (3+3+4)/180 car/min = 1/18 car per minute --> 18 minutes per car ---------------------- You can use a shortcut The 2 brothers together take 30 minutes, since they both do 1/60 per minute Use 30 & 45 and the product/sum = (30*45)/(30 + 45) = 1350/75 = 18 minutes
 Money_Word_Problems/427214: Find the derivative of the function. HINT [See Quick Examples on page 835.] f(x) = (6x2 − x)ln x f '(x) = 1 solutions Answer 297088 by Alan3354(30993)   on 2011-03-25 21:01:04 (Show Source): You can put this solution on YOUR website!Do you mean f(x) = (6x^2 - x)*ln(x) ? --------- f' = (12x - 1)ln(x) + (1/x)*(6x^2 - x) = (12x - 1)ln(x) + 6x - 1
 test/427206: have a problem and of course it's like always one number holding me up. It's a long problem but I'm going to send an example then what my problem is if you could tell me where that number is coming from. Example problem is k=Wd^2=(189)(4000)^2=3.024x10^9 step 2 =3.024x10^9/(4550)2 step 3 =146.1. I'm not sure where the 3.024 is coming from. My problem now is k=wd^2=(181)(4000)^2=????x10^9 I'm stuck please help.1 solutions Answer 297085 by Alan3354(30993)   on 2011-03-25 20:53:25 (Show Source): You can put this solution on YOUR website!189*16 = 3024 --------------- k=Wd^2=(189)(4000)^2 = 3.024x10^9 step 2 =3.024x10^9/(4550)2 step 3 =146.1 I don't know where you got the 4550, or what (4550)2 means. I don't know what you're trying to do here. ---------------- = 181*16E6 = 2896E6 = 2.896E9 = ------------------ k=Wd^2=(189)(4000)^2 = 189*(4E3)^2 = 189*16E6 = 3024E6 = 3.024E9 or
 Rational-functions/427157: 8-sqrt(8+12)=3 may u please help me with this question 1 solutions Answer 297056 by Alan3354(30993)   on 2011-03-25 18:02:37 (Show Source): You can put this solution on YOUR website!They're not equal. Help do what? 8-sqrt(8+12)=3 is not a question.
 Miscellaneous_Word_Problems/427164: Flor wants to solve the equation (.6)x=16. what step should she takes first? f. subtract .6 from each side. g. subtract 16 from each side. h. multiply both sides by 5 i. divide each side by 161 solutions Answer 297055 by Alan3354(30993)   on 2011-03-25 18:00:52 (Show Source): You can put this solution on YOUR website!Divide both sides by 0.6 ------------
 Graphs/427133: Graph the conic: (x-1)^2 over 9 - (y+2)^2 over 16 = 11 solutions Answer 297040 by Alan3354(30993)   on 2011-03-25 16:26:36 (Show Source): You can put this solution on YOUR website!dl the FREE graph software from http://www.padowan.dk
 Polynomials-and-rational-expressions/427137: how do I simplify and rewrite without using negative or zero exponents a^4.a^4=1 solutions Answer 297039 by Alan3354(30993)   on 2011-03-25 16:25:50 (Show Source): You can put this solution on YOUR website!= a^8
 Polynomials-and-rational-expressions/427139: how do I simplify and rewrite without using negative or zero exponents m^7/m^3= 1 solutions Answer 297038 by Alan3354(30993)   on 2011-03-25 16:24:48 (Show Source): You can put this solution on YOUR website!= m^4
 Polynomials-and-rational-expressions/427105: how do you express 96 as the product of only prime numbers?1 solutions Answer 297027 by Alan3354(30993)   on 2011-03-25 15:20:09 (Show Source): You can put this solution on YOUR website!= 2*2*2*2*2*3
 Inequalities/427092: Which of the following are solutions to the inequality 3x - 4y < 15? a. ( -4, -9) b. ( 3, -4) c. ( 6, 2) d. ( 7, 1) I answered c. (6,2) can anyone tell me if this is correct? Thank you!1 solutions Answer 297025 by Alan3354(30993)   on 2011-03-25 15:10:29 (Show Source): You can put this solution on YOUR website!If you sub 6 for x and 2 for y, it is less than 15, so it's correct.
 Radicals/427100: April shoots an arrow upward into the air at a speed of 64 ft per second from a platform that is 34 feet high. The height of the arrow is given by the function h(t)=-16t^2+64t+34, where t is the time in seconds. What is the maximum height of the arrow?1 solutions Answer 297024 by Alan3354(30993)   on 2011-03-25 15:06:48 (Show Source): You can put this solution on YOUR website!April shoots an arrow upward into the air at a speed of 64 ft per second from a platform that is 34 feet high. The height of the arrow is given by the function h(t)=-16t^2+64t+34, where t is the time in seconds. What is the maximum height of the arrow? ------------- The max is the vertex of the parabola, on the line of symmetry t = -b/2a t = -64/-32 = 2 seconds h(2) = -16*4 + 64*2 + 34 h(2) = 98 feet, the max ht
 Functions/427087: if x=5,what is the value of 18x+231 solutions Answer 297020 by Alan3354(30993)   on 2011-03-25 14:51:08 (Show Source): You can put this solution on YOUR website!113
 Polynomials-and-rational-expressions/427091: If you foil ( x - 2) ( 5x + 2) and foil (3x + 5)(x - 2) + (2x - 3)(x - 2) then combine like term would you get the same solution? 1 solutions Answer 297018 by Alan3354(30993)   on 2011-03-25 14:45:21 (Show Source): You can put this solution on YOUR website!Yes
 Polynomials-and-rational-expressions/427060: I am to solve and rewrite in a scientific notation please explain how to do this (2.3x10^4)(7x10^20)=1 solutions Answer 297014 by Alan3354(30993)   on 2011-03-25 14:19:46 (Show Source): You can put this solution on YOUR website!(2.3x10^4)(7x10^20) Multiply 2.3*7 = 16.1 Multiply 10^4 * 10^20 = 10^24 --> 16.1*10^24 Move the decimal from 16.1 to 1.61 and add one to the exponent --> 1.61*10^25
 Radicals/427080: Simplify: square root of 3x divided by sq.root 15x^3. My solution is (3)(1)(x)/(5)(3)(x^2)(x)= 1/x sq. root 5 but I don't think this is right. 1 solutions Answer 297010 by Alan3354(30993)   on 2011-03-25 14:06:48 (Show Source): You can put this solution on YOUR website! = = = your answer take the radical out of the denominator =
 Rectangles/427041: How does a 4th grader find the dimensions of a rectangle when the perimeter is 58 and the area is 54.1 solutions Answer 297000 by Alan3354(30993)   on 2011-03-25 12:01:13 (Show Source): You can put this solution on YOUR website!How does a 4th grader find the dimensions of a rectangle when the perimeter is 58 and the area is 54. --------------- Perimeter = 2L + 2W = 58 --> L + W = 29 Area = L*W = 54 ------------------ L = 54/W (54/W) + W = 29 54 + W^2 = 29W (W - 2)*(W - 27) = 0 W = 2 L = 27 ----------- I'm not sure that'll work in the 4th grade, it's been awhile since I was there. ---------------------- Try this: Factor 54 and look for a pair that adds to 29 54 = 1 x 54 2 x 27 3 x 18 6 x 9 Only 2 by 27 fits. If the solution is not integers, that won't work.
 Coordinate-system/427044: (-7,4) 7x=6y+5 My answer was 6y=24+5=29 that is wrong why? 1 solutions Answer 296999 by Alan3354(30993)   on 2011-03-25 11:53:00 (Show Source): You can put this solution on YOUR website!(-7,4) 7x=6y+5 My answer was 6y=24+5=29 that is wrong why? -------- Your answer doesn't have an x term? ----------- You didn't say what the problem is, either, just gave a point and an equation.
 logarithm/427043: what is 5^3=125 in logarithmic form?1 solutions Answer 296998 by Alan3354(30993)   on 2011-03-25 11:49:58 (Show Source): You can put this solution on YOUR website! ----------- The log is the exponent, remember that.
 Travel_Word_Problems/427046: Hello, My question is: "The H.M.S. Dreadnaught is 10 miles north of Montauk and steaming due north at 15 miles/hour, while the U.S.S. Mona Lisa is 70 miles east of Montauk and steaming due east at an even 40 miles/hour. How fast is their distance apart increasing?" I know that will be the sum of miles that they are (10*15) + (70*40) = 2950 But, I don't the rest. I think it will be divided by something, but I don't know what. I'm stuck on that question. Can you please help me on that? Thanks, Cristian1 solutions Answer 296997 by Alan3354(30993)   on 2011-03-25 11:47:15 (Show Source): You can put this solution on YOUR website!"The H.M.S. Dreadnaught is 10 miles north of Montauk and steaming due north at 15 miles/hour, while the U.S.S. Mona Lisa is 70 miles east of Montauk and steaming due east at an even 40 miles/hour. How fast is their distance apart increasing?" -------------- I know that will be the sum of miles that they are (10*15) + (70*40) = 2950 If you include units, you'll see a problem with that 10 miles * 15 miles/hour = 150 sq miles/hr ?? Not good. ----------------------- Their directions are 90º apart, so it's a right triangle. r = sqrt(1825) =~ 42.72 mph r = the speed of one relative to the other. ---------------- The distances have no effect on the relative speed.
 Rectangles/427025: A rectangular sheet of aluminum foil is 50cm long and20cm wide, and weighs 5.4 grams. Find the thickness of the aluminum foil in cm. 1 solutions Answer 296993 by Alan3354(30993)   on 2011-03-25 10:37:19 (Show Source): You can put this solution on YOUR website!A rectangular sheet of aluminum foil is 50cm long and20cm wide, and weighs 5.4 grams. Find the thickness of the aluminum foil in cm. ---------------- Its volume = 50*20*t (t = thickness) Using 2.7 gm/cc for the density of Al, 5.4 = 1000t*2.7 t = 5.4/2.700E3 cm t = 2E-3 cm or 0.002 cm = 0.02 mm = 20 microns