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# Recent problems solved by 'Alan3354'

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 �t�e�s�t/694504: Solve the equation 4^-x=1/256 1 solutions Answer 427976 by Alan3354(30993)   on 2012-12-15 09:33:32 (Show Source): You can put this solution on YOUR website!4^-x=1/256 ----------- x = 4 ------------- If you don't recognize that 4^4 = 256, then x*log(4) = log(256) x = log(256)/log(4)
 Probability-and-statistics/694511: How many different five-card hands can be dealt from a deck that has only clubs(13 cards altogether)? 1 solutions Answer 427975 by Alan3354(30993)   on 2012-12-15 09:29:48 (Show Source): You can put this solution on YOUR website!How many different five-card hands can be dealt from a deck that has only clubs(13 cards altogether)? ----------------------- 13*12*11*10*9 = 154440 ---- But, since 2,3,4,5,6 is the same as 2,4,5,6,3, divide by 5! 154440/120 = 1287 hands
 Complex_Numbers/694506: Find all complex z which solve z^9=-1 My attempt consists in changing it to polar form..but I really don't understand how to do it! 1 solutions Answer 427974 by Alan3354(30993)   on 2012-12-15 09:24:45 (Show Source): You can put this solution on YOUR website!Find all complex z which solve z^9=-1 ----------- Use DeMoivre's Theorem z^9 = -1 = 1cis(180 + n*360) z = 1cis(20) z = 1cis(60) -------- z = 1cis(20 + n*40) n = 0 to 8
 Exponents/694509: Could you please solve this sum : 32 to the power x = 2 ; find x1 solutions Answer 427972 by Alan3354(30993)   on 2012-12-15 09:21:24 (Show Source): You can put this solution on YOUR website!Could you please solve this sum : 32 to the power x = 2 ; find x ----------------- It's not a sum. Sums are not solved, equations are solved. -------- Solve for x x*log(32) = log(2) x = log(2)/log(32) x = 0.2
 Polygons/694513: Each interior angle of a regular polygon is 160 degree. How many sides does it have?1 solutions Answer 427971 by Alan3354(30993)   on 2012-12-15 09:19:27 (Show Source): You can put this solution on YOUR website!Each interior angle of a regular polygon is 160 degree. How many sides does it have? -------------- Ext angles = 20 degs # of sides = 360/20 = 18
 Travel_Word_Problems/694490: A cyclist rides her bike at a speed of 12 meters per second. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? Do not round your answers. 1 solutions Answer 427967 by Alan3354(30993)   on 2012-12-15 08:19:47 (Show Source): You can put this solution on YOUR website!A cyclist rides her bike at a speed of 12 meters per second. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? ---------------- 1 hour = 3600 seconds 1 km = 1000 meters
 Equations/694442: How would you solve the problem: b + s= 12 1.25b + 1.50s = 161 solutions Answer 427919 by Alan3354(30993)   on 2012-12-14 19:50:08 (Show Source): You can put this solution on YOUR website!How would you solve the problem: b + s= 12 1.25b + 1.50s = 16 --------------- I would multiply the 2nd eqn by 4 to eliminate fractions. Then, I'd solve the 1st eqn for either b or s and use substitution.
 Travel_Word_Problems/694443: Hooke's Law, The distance d when a spring is stretched bya hanging object varies directly as the weight w of the object. if the distance is 69 cm when the weight is 4kg. what is the distance when the weight is 8kg?1 solutions Answer 427918 by Alan3354(30993)   on 2012-12-14 19:47:48 (Show Source): You can put this solution on YOUR website!Hooke's Law, The distance d when a spring is stretched bya hanging object varies directly as the weight w of the object. if the distance is 69 cm when the weight is 4kg. what is the distance when the weight is 8kg? ------------- twice the weight --> twice the distance
 Graphs/694427: how do you do 3y-12x+6=01 solutions Answer 427903 by Alan3354(30993)   on 2012-12-14 18:21:48 (Show Source): You can put this solution on YOUR website!how do you do 3y-12x+6=0 ============= Step 1, say what you want to do.
 Average/694428: have a 69.5 before final made 66 on final and final counts for 20 percent of grade what did i make in class1 solutions Answer 427901 by Alan3354(30993)   on 2012-12-14 18:19:30 (Show Source): You can put this solution on YOUR website!have a 69.5 before final made 66 on final and final counts for 20 percent of grade what did i make in class ------------- Grade = (80*69.5 + 20*66)/100 = 68.8
 Travel_Word_Problems/694341: if car travels 20 meters in a second, what is speed in KM per hours ?1 solutions Answer 427858 by Alan3354(30993)   on 2012-12-14 15:35:57 (Show Source): You can put this solution on YOUR website!if car travels 20 meters in a second, what is speed in KM per hours ? ----------------------- 1 hour = 3600 seconds 1 km = 1000 meters
 testmodule/694348: the point (2,2) lies------the circle x2+y2=11 solutions Answer 427857 by Alan3354(30993)   on 2012-12-14 15:34:29 (Show Source): You can put this solution on YOUR website!the point (2,2) lies------the circle x2+y2=1 -------------- (2,2) is not on the circle.
 Numeric_Fractions/694329: what is 11/12 and 5/8 1 solutions Answer 427846 by Alan3354(30993)   on 2012-12-14 14:19:57 (Show Source): You can put this solution on YOUR website!what is 11/12 and 5/8 ------------ If you mean added: Find a common denominator. The product always works 12*8 = 96 --- 11/12 + 5/8 = 88/96 + 60/96 = 148/96 = 37/24
 Exponents/694179: Its 6 over 6 to the 4th power you have to write it in exponential form which is subtraction I wrote 6 to the 3rd power but it was marked wrong1 solutions Answer 427789 by Alan3354(30993)   on 2012-12-13 22:55:24 (Show Source):
 Average/694155: find the average of 1/7 and 3/4. how do i do that? 1 solutions Answer 427759 by Alan3354(30993)   on 2012-12-13 20:51:41 (Show Source): You can put this solution on YOUR website!find the average of 1/7 and 3/4. how do i do that? -------------- Add them, divide the sum by 2.
 Geometry_proofs/694129: It's a vertical angle triangle Given: Segment Bx is congruent to segment Dx and angle B is congruent to angle D Prove: X is the midpoint of AC 1 solutions Answer 427740 by Alan3354(30993)   on 2012-12-13 20:24:03 (Show Source): You can put this solution on YOUR website!It's a vertical angle triangle ---------- Vertical is a direction, not a type of angle.
 Exponential-and-logarithmic-functions/694119: 9.4 * 10^-51 solutions Answer 427736 by Alan3354(30993)   on 2012-12-13 20:22:50 (Show Source): You can put this solution on YOUR website!9.4 * 10^-5 =================== Do you have a question?
 Proportions/693987: on a map, the distance between two towns is 4 3/4 inches. the actual distance between the town is 380 miles. how do you solve this problem using proportions1 solutions Answer 427693 by Alan3354(30993)   on 2012-12-13 17:10:28 (Show Source): You can put this solution on YOUR website!on a map, the distance between two towns is 4 3/4 inches. the actual distance between the town is 380 miles. how do you solve this problem using proportions ------------- Solve what problem?
 percentage/694024: What is 1901 as a percentage of 3276? Thank you1 solutions Answer 427691 by Alan3354(30993)   on 2012-12-13 17:07:59 (Show Source): You can put this solution on YOUR website!What is 1901 as a percentage of 3276? --- 1901/3276 =~ 0.58028 x100 --> ~ 58.03%
 Complex_Numbers/694023: Ive been working on Algebra 2 homework for two hours now and need serious help with a few questions. like how to I express numbers in square root form in terms of i? Example : 8 (square root symbol) -4 under the square root symbol 1 solutions Answer 427690 by Alan3354(30993)   on 2012-12-13 17:05:23 (Show Source): You can put this solution on YOUR website! 8 (square root symbol) -4 under the square root symbol ---------------- = ------------ = 8*2*i = 16i
 Matrices-and-determiminant/694000: Well in class we are using matrices to solve equations but in order to solve my last homework question I have to put 3y=5 into standard form.How may a do that and with a step by step explaination please ? Thank you. I need this soon as in tonight atleast, Thank you once again1 solutions Answer 427684 by Alan3354(30993)   on 2012-12-13 16:39:43 (Show Source): You can put this solution on YOUR website!3y=5 --------- That is standard form.
 Travel_Word_Problems/694004: A motorcycle travels 600 miles in 11 hours. What is it's average speed during this trip?1 solutions Answer 427683 by Alan3354(30993)   on 2012-12-13 16:38:34 (Show Source): You can put this solution on YOUR website!A motorcycle travels 600 miles in 11 hours. What is it's [sic] average speed during this trip? ===================== d = r*t r = d/t
 Polynomials-and-rational-expressions/694008: X^4 + x^2 y^2 + y^4 X to the fourth plus x squared y squared plus y to the fourth 1 solutions Answer 427682 by Alan3354(30993)   on 2012-12-13 16:37:01 (Show Source): You can put this solution on YOUR website!X^4 + x^2 y^2 + y^4 =================== Do you have a question?
 logarithm/693960: Explain why log(sqrt 300) = 1 + log(3) / 21 solutions Answer 427664 by Alan3354(30993)   on 2012-12-13 15:00:30 (Show Source): You can put this solution on YOUR website!Explain why log(sqrt 300) = 1 + log(3) / 2 ----------- = 1 + log(3)/2
 Linear-systems/693952: My child frank pesapane goes to wiliam davies technical high school and they are not allowed to bring there books home. Frank made high honors last marking period but now is failing math .he has to match the graph with its linear system and tell how man the sulotions have for example -2 + y =1 -4x +2y=-6. Can u please help us thank sincerely Jeannette eddinger1 solutions Answer 427662 by Alan3354(30993)   on 2012-12-13 14:49:54 (Show Source): You can put this solution on YOUR website!he has to match the graph with its linear system and tell how man the sulotions have for example -2 + y =1 -4x +2y=-6. Can u please help us thank sincerely Jeannette eddinger -------------------------- 1st, don't put so much personal info in public, there are bad people everywhere. ============= -2 + y =1 -4x +2y=-6 ------------ Did you mean -2x + y =1 -4x +2y=-6 ? =============== -4x +2y = 2 -4x +2y =-6 -------------- Subtract 0 = 8 That's not true, so it's inconsistent. --> no solution =================== If you graph the 2 equations, you get parallel lines. No intersection, no solution.
 Mixture_Word_Problems/693954: Can you explain me the process? An alcohol solution was made by mixing 6 ml of a 90% alcohol solution and 4 ml of a 80% alcohol solution. What is the concentration of the mixture?1 solutions Answer 427660 by Alan3354(30993)   on 2012-12-13 14:44:58 (Show Source): You can put this solution on YOUR website!An alcohol solution was made by mixing 6 ml of a 90% alcohol solution and 4 ml of a 80% alcohol solution. What is the concentration of the mixture? ------------------ 6*90 + 4*80 = 10*C C = 86%
 Trigonometry-basics/693884: I have a square sign 20 feet in the air. How do I calculate the length of the sides of the square sign without getting up 20 feet in the air to measure it?1 solutions Answer 427612 by Alan3354(30993)   on 2012-12-13 11:25:07 (Show Source): You can put this solution on YOUR website!I have a square sign 20 feet in the air. How do I calculate the length of the sides of the square sign without getting up 20 feet in the air to measure it? -------------- There's no way to calculate physical measurements of an object. You might be able to measure it indirectly. Measure some distance from the support, then measure the angles to the top and bottom of the sign. The height can be determined from that, but accuracy and resolution might not be sufficient.
 Volume/693886: Hello, can you tell me the surface area of a cylinder with a radius of 6 and height of 13.5 With work please so I can understand? Thanks!1 solutions Answer 427610 by Alan3354(30993)   on 2012-12-13 11:21:40 (Show Source): You can put this solution on YOUR website!the surface area of a cylinder with a radius of 6 and height of 13.5 ---------- Lateral area = Each end's area =
 Divisibility_and_Prime_Numbers/693868: What's the number that divided by eleven, the rest is zero? How do you get the result using a formula?1 solutions Answer 427608 by Alan3354(30993)   on 2012-12-13 11:20:22 (Show Source): You can put this solution on YOUR website!What's the number that divided by eleven, the rest is zero? How do you get the result using a formula? -------------- "the rest is zero?" The rest of what? --------- n/11 = 0 n = 0
 �t�e�s�t/693817: Evaluate:(1 - tan 10°)/(1 + tan 10°)1 solutions Answer 427607 by Alan3354(30993)   on 2012-12-13 11:17:57 (Show Source): You can put this solution on YOUR website!Evaluate:(1 - tan 10°)/(1 + tan 10°) =~ 0.7002075 --------------------- (1 - tan 10°)/(1 + tan 10°) = (tan45 - tan(10))/(tan(45) + tan(10)) = tan(45 - 10) = tan(35)
 logarithm/693873: log[3](27)/log[3](9)= 27/9 I know that this is a true statement and the answer equals 3 but, I can't figure out how to solve this problem step by step so I can know the proper way. May you help me please...thank you in advance. 1 solutions Answer 427606 by Alan3354(30993)   on 2012-12-13 11:04:09 (Show Source): You can put this solution on YOUR website! log[3](27)/log[3](9)= 27/9 I know that this is a true statement and the answer equals 3 but, ============== How do you know? 27 = 3^3 9 = 3^2 ------- log[3](27)/log[3](9)= 3/2, not 27/9 --------------- = 3 = 2