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# Recent problems solved by 'Alan3354'

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 Quadratic_Equations/734665: Use the discriminate to find the number of real solution to x^2+3x-4=01 solutions Answer 449085 by Alan3354(30993)   on 2013-04-07 08:14:54 (Show Source): You can put this solution on YOUR website!Use the discriminate to find the number of real solution to x^2+3x-4=0 -------------- It's discriminant. Discriminate is a verb. disc = b^2 - 4ac = 9 - 4*1*(-4) = 25 disc > 0 --> 2 real solutions
 Trigonometry-basics/734611: hello. i need to prove the following but i do not know how to go about it: cosx(cosx+1)+sin^2x=(sin x+tanx)/tanx if you can provide me with a step by step response i would appreciate it. i have attempted it but i cannot get the two sides to be the same. thanks!1 solutions Answer 449056 by Alan3354(30993)   on 2013-04-06 22:44:46 (Show Source): You can put this solution on YOUR website!cosx(cosx+1)+sin^2x=(sin x+tanx)/tanx cos^2 + cos + sin^2 = sin*cot + 1 cos + 1 = cos + 1
 test/734595: What does the "e" mean in an equation? Ex. f(x)=17000e^-0.05(10)1 solutions Answer 449044 by Alan3354(30993)   on 2013-04-06 21:03:25 (Show Source): You can put this solution on YOUR website!What does the "e" mean in an equation? Ex. f(x)=17000e^-0.05(10) ------------- It's the base of natural logarithms. Look up natural logs.
 Age_Word_Problems/734585: my daughte needs help with this problem Evaluate f(x)= -x(2) + 1 for x = -3 The answer she got was x=10. Any help will be really apreciated. Thank You1 solutions Answer 449037 by Alan3354(30993)   on 2013-04-06 20:36:18 (Show Source): You can put this solution on YOUR website!Evaluate f(x)= -x(2) + 1 for x = -3 The answer she got was x=10. ----------- If it's -x^2 + 1: The minus sign is not subject to being squared. f(-3) = -(-3)^2 + 1 = -9 + 1 = -8
 test/734507: 5x^2 = 6x1 solutions Answer 449007 by Alan3354(30993)   on 2013-04-06 16:59:01 (Show Source): You can put this solution on YOUR website!5x^2 = 6x ------------ x = 0, x = 6/5
 Travel_Word_Problems/734512: Your friend flew to Miami in a plane that averaged 600 mi/h. She drove back home, averaging 50 mi/h. What is her average speed in miles per hour for the whole trip? Assume the distances by plane and car are equal.1 solutions Answer 449006 by Alan3354(30993)   on 2013-04-06 16:56:53 (Show Source): You can put this solution on YOUR website!Your friend flew to Miami in a plane that averaged 600 mi/h. She drove back home, averaging 50 mi/h. What is her average speed in miles per hour for the whole trip? Assume the distances by plane and car are equal. ------------ avg speed = 2*600*50/(600+50) =~ 92.3 mi/hr
 test/734511: How to graph polynomial functions. F(x)=4-2x^31 solutions Answer 449003 by Alan3354(30993)   on 2013-04-06 16:40:08 (Show Source): You can put this solution on YOUR website!How to graph polynomial functions. F(x)=4-2x^3 ------------- Same as any graph. Pick values for x, find y, plot the points, draw the curve. ----------- You can use Excel to do the calculations. You can dl the FREE graph software at http://www.padowan.dk ------ Use Ins, enter 4 - 2x^3
 Triangles/734484: I need to find cos of X. the triangle seems to be an obtuse scalene triangle. the hypotenuse is 12, since its the longest side. the adjacent angle i am guessing is 7 and the opposite has a length of 8. how do i solve for the cos x if the question says the answers have to be –0.28 –0.18 0.18 0.28 please help thank you. ive tried solving it by changing from degrees to radian but im not getting any of these answers. 1 solutions Answer 449001 by Alan3354(30993)   on 2013-04-06 16:35:51 (Show Source): You can put this solution on YOUR website!I need to find cos of X. the triangle seems to be an obtuse scalene triangle. the hypotenuse is 12, since its the longest side. the adjacent angle i am guessing is 7 and the opposite has a length of 8. --------------- If the side opposite angle x is 8, and the other sides are 7 and 12: Solve for cos(x) ------ I don't know why you're guessing it's 7. Also, hypotenuse applies only to right triangles.
 Equations/734487: how do find a slope when giving you two ordered pairs1 solutions Answer 448997 by Alan3354(30993)   on 2013-04-06 16:19:27 (Show Source): You can put this solution on YOUR website!how do find a slope when giving you two ordered pairs ---------- slope = change in y/(change in x)
 Trigonometry-basics/734500: Verify that sec theta csc theta - tan theta = cot theta is an identity 1 solutions Answer 448995 by Alan3354(30993)   on 2013-04-06 16:18:26 (Show Source): You can put this solution on YOUR website!Verify that sec theta csc theta - tan theta = cot theta is an identity ------------ Change to sines and cosines, see what you have.
 Finance/734503: Got a question I can't seem to get past, anyone out there willing to help? Use the compound interest formula A=P(1+r)^t to solve for t, when: A=\$2500 P=\$1000 r=6% and assuming that n = 11 solutions Answer 448994 by Alan3354(30993)   on 2013-04-06 16:17:24 (Show Source): You can put this solution on YOUR website!Use the compound interest formula A=P(1+r)^t to solve for t, when: A=\$2500 P=\$1000 r=6% and assuming that n = 1 ---------------- Just the general eqn for t. I don't see "n" in it. A=P(1+r)^t ln(A) = ln(P) + t*ln(1+r) t*ln(1+r) = ln(A/P) t = ln(A/P)/ln(1+r) -------- Then using the numbers: t = ln(2500/1000)/ln(1.06) t =~ 55.2417
 Quadratic_Equations/734453: After much difficulty you determine that the solutions to: x^2-x-4=0 are the numbers a and b. The sum of a+b equals? Solve for the sum of a+b Thank you for your help, it is very much appreciated.1 solutions Answer 448963 by Alan3354(30993)   on 2013-04-06 14:24:35 (Show Source): You can put this solution on YOUR website!After much difficulty you determine that the solutions to: x^2-x-4=0 are the numbers a and b. The sum of a+b equals? Solve for the sum of a+b --------------------- For ax^2 + bx + c = 0, it's -b/a For x^2-x-4=0 it's 1/1 = 1
 Trigonometry-basics/734450: How do I evaluate the cotangent of 37pi over 6?1 solutions Answer 448934 by Alan3354(30993)   on 2013-04-06 13:08:04 (Show Source): You can put this solution on YOUR website!How do I evaluate the cotangent of 37pi over 6? --------------- Use a calculator to find the tangent cot = 1/tan
 Metalworking/734347: What is the RPM of a Verticle [sic] Wheel if we have following things: 1) Diameter : 6 mtrs 2) Velocity : 130 m/s 3) Volume : 20.4 ltrs/s 4) Flow : 10 Deg to TOP 5) Flow Dis.: 1 mtr above wheel 5) RPM : ?1 solutions Answer 448924 by Alan3354(30993)   on 2013-04-06 11:42:41 (Show Source): You can put this solution on YOUR website!What is the RPM of a Verticle Wheel if we have following things: 1) Diameter : 6 mtrs 2) Velocity : 130 m/s ----------------------- 130 m/sec = 7800 m/minute --- Rev/min = 7800/(6*pi) = 1300/pi RPM =~ 413.8
 Travel_Word_Problems/734394: A car takes 7 hours 50 minutes to travel 549 9/10 km. 1) What is the average speed of the car in km per hour? 2)how many MINUTES will it take the car to travel 9 1/5 km? ***SHOW YOUR WORK FOR THE PROBLEMS!1 solutions Answer 448921 by Alan3354(30993)   on 2013-04-06 11:36:14 (Show Source): You can put this solution on YOUR website!A car takes 7 hours 50 minutes to travel 549 9/10 km. 1) What is the average speed of the car in km per hour? t = 7 5/6 hours d = 549.9 = r*t r = d/t ------------------ 2)how many MINUTES will it take the car to travel 9 1/5 km? t = (d/r)*60
 Travel_Word_Problems/734054: Two planes have left the airport. One plane is 30 miles wesst of the airport and has an altitude of 4 miles. The other is 30 miles east of the aiport and has altitude of 2 miles. What is the distance between the planes?1 solutions Answer 448892 by Alan3354(30993)   on 2013-04-06 07:54:51 (Show Source): You can put this solution on YOUR website!Two planes have left the airport. One plane is 30 miles wesst of the airport and has an altitude of 4 miles. The other is 30 miles east of the aiport and has altitude of 2 miles. What is the distance between the planes? ----------------- The distance on the ground = 10+30 = 60 miles The vertical distance = 2 miles d =~ 60.00333 miles
 Numbers_Word_Problems/734363: what is the sum of twenty three and eighteen? 1 solutions Answer 448891 by Alan3354(30993)   on 2013-04-06 07:46:21 (Show Source): You can put this solution on YOUR website!what is the sum of twenty three and eighteen? -------------- Is there some reason you can't add 23 + 18?
 Travel_Word_Problems/734358: a boy in a train throws a ball in forward direction with speed of 20miles per hour.if train is moving with speed of 80 miph what is speed of ball as measured by observer on ground 1 solutions Answer 448890 by Alan3354(30993)   on 2013-04-06 07:45:29 (Show Source): You can put this solution on YOUR website!a boy in a train throws a ball in forward direction with speed of 20miles per hour.if train is moving with speed of 80 miph what is speed of ball as measured by observer on ground ------------- 20 + 80 = 100 mi/hr
 Rate-of-work-word-problems/734318: If 2/9 of a room can be painted in 1 hour, what is the rate of work1 solutions Answer 448861 by Alan3354(30993)   on 2013-04-05 21:33:17 (Show Source): You can put this solution on YOUR website!If 2/9 of a room can be painted in 1 hour, what is the rate of work ------- 2/9 rooms/hour
 Quadratic_Equations/734174: approximate 15 to three decimal places. with explanation and solution 1 solutions Answer 448818 by Alan3354(30993)   on 2013-04-05 18:25:12 (Show Source): You can put this solution on YOUR website!approximate 15 to three decimal places. with explanation and solution ----------- = 15.000
 Rational-functions/734252: How do you graph the inverse variation y=-1/x? What is the name of the curve that is supposed to be drawn on the graph?1 solutions Answer 448817 by Alan3354(30993)   on 2013-04-05 18:24:03 (Show Source): You can put this solution on YOUR website!How do you graph the inverse variation y=-1/x? The same as any graph. You pick values for x and find y. eg, x = 1, y = -1 --> (1,-1) x = 2, y = 1/2 --> (2,-1/2) x = -1, y = 1 --> (-1.1) Plot as many points as you like. ----------------- What is the name of the curve that is supposed to be drawn on the graph? It's a hyperbola
 logarithm/734253: What to do? I don't use calculators and prefer to have written solutions, so HOW? Solve: 3^x = 10 and (1.05)^x = 21 solutions Answer 448812 by Alan3354(30993)   on 2013-04-05 18:15:54 (Show Source): You can put this solution on YOUR website!What to do? I don't use calculators and prefer to have written solutions, so HOW? Solve: 3^x = 10 x*log(3) = log(10) = 1 x = 1/log(3) --- You can use a calculator, a slide rule, or a log table. If you don't want to use a log table, then you'll have to generate your own logs from a series. Are you making some sort of protest? ----------------- and (1.05)^x = 2 x*log(1.05) = log(2) x = log(2)/log(1.05) -----------------
 Exponents/734285: what does this mean? 5t/m squared My husband just called me from offshore wanting to know what it means or what's the answer if any.1 solutions Answer 448811 by Alan3354(30993)   on 2013-04-05 18:11:19 (Show Source): You can put this solution on YOUR website!what does this mean? 5t/m squared -------------- might be 5 tons per square meter
 Geometry_Word_Problems/734210: If a polygon whose sides are congruent is necessarily a regular polygon and whether a polygon with all angles congruent is necessarily a regular polygon?1 solutions Answer 448765 by Alan3354(30993)   on 2013-04-05 14:23:14 (Show Source): You can put this solution on YOUR website!If a polygon whose sides are congruent is necessarily a regular polygon No. A parallelogram has congruent sides. ------------------ and whether a polygon with all angles congruent is necessarily a regular polygon? No. A rectangle has congruent angles. ---------------
 logarithm/734184: solve the exponential equation. Express the solution set in terms of natural logarithms. 2^x+8=31 solutions Answer 448756 by Alan3354(30993)   on 2013-04-05 13:58:02 (Show Source): You can put this solution on YOUR website!solve the exponential equation. Express the solution set in terms of natural logarithms. 2^x+8=3 ------------- 2^x = -5 No solution.
 Numbers_Word_Problems/734015: what is 7 times something the equals 147 1 solutions Answer 448682 by Alan3354(30993)   on 2013-04-04 21:44:25 (Show Source): You can put this solution on YOUR website!what is 7 times something the equals 147 ----------------- It's an equation, sort of.
 Surface-area/733991: Hello! Trying to calculate the total surface area of 2 semi-circles. Semicircle #1 is the left half of a semicircle with a radius of 10 feet. Semicircle #2 is the right half of a semicircle with a radius of 5 feet. The 2nd semicircle is positioned on the right side of the first one, at the bottom of the first semicircle. The height is 6 feet. We calculated the lateral surface area and added 2 areas of the base. We're pretty sure we have the bases figured out but are having trouble with the lateral surface area part. We were using the formual Lateral Surface Area = perimeter x height and Total Surface Area formula of LA (lateral surface area) + 2 areas of the base. For perimeter of the semicircles, we used the formula pi*diameter/2. The answer is supposed to be 735.1 sq ft but we can only get to 675.1 sq ft and can't find the other 60 sq ft. Thanks!!!!!1 solutions Answer 448681 by Alan3354(30993)   on 2013-04-04 21:42:09 (Show Source): You can put this solution on YOUR website!A semicircle doesn't have a height.
 �t�e�s�t/734014: convert as indicated, 45qt to liters1 solutions Answer 448677 by Alan3354(30993)   on 2013-04-04 21:34:18 (Show Source): You can put this solution on YOUR website!convert as indicated, 45qt to liters --------------- Look it up.
 �t�e�s�t/734008: fill in the missing value 66,00m= what in km is it 6600, 0.66, 0.066,1 solutions Answer 448676 by Alan3354(30993)   on 2013-04-04 21:32:29 (Show Source): You can put this solution on YOUR website!duplicate
 �t�e�s�t/733977: fill in the missing value, 23kg=what in mg1 solutions Answer 448663 by Alan3354(30993)   on 2013-04-04 21:14:10 (Show Source): You can put this solution on YOUR website!fill in the missing value, 23kg=what in mg --------- 1 kg = 1000 grams 1 gram = 1000 mg (milligrams)
 �t�e�s�t/733983: fill in the missing value, 66.00m= what in km1 solutions Answer 448662 by Alan3354(30993)   on 2013-04-04 21:11:03 (Show Source): You can put this solution on YOUR website!fill in the missing value, 66.00m= what in km ------------ 1 km = 1000 meters