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Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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Numeric_Fractions/420489: 15/5 in lowest terms? 1 solutions Answer 293816 by Alan3354(30993)   on 2011-03-10 15:41:53 (Show Source): You can put this solution on YOUR website! 3 Did you not know that?

Sequences-and-series/420482: two consecutive even integers have a sum of 26 what are the two integers 1 solutions Answer 293815 by Alan3354(30993)   on 2011-03-10 15:41:05 (Show Source): You can put this solution on YOUR website! 26/2 = 13 --> 12 & 14

Angles/419885: What is the exact area of a circle with a diameter of 27 inches? 1 solutions Answer 293518 by Alan3354(30993)   on 2011-03-09 15:21:34 (Show Source): You can put this solution on YOUR website! r = 27/2 = 13.5 inches Sub for r in the equation above.

Triangles/419878: if the lenghs of a right triangle measure 9 feet and 12 feet. what is the length of the hypotenuse? 1 solutions Answer 293504 by Alan3354(30993)   on 2011-03-09 14:43:31 (Show Source): You can put this solution on YOUR website! Look at the Theorem of Pythagoras ----------

Square-cubic-other-roots/419733: Mulitply (sqrt6 plus 2 sqrt3) (sqrt 6 minus 2 sqrt 3) 1 solutions Answer 293474 by Alan3354(30993)   on 2011-03-09 11:50:39 (Show Source): You can put this solution on YOUR website! (sqrt6 plus 2 sqrt3) (sqrt 6 minus 2 sqrt 3) ------------ The sum times the difference = diff of the squares -------------

Signed-numbers/419772: (3-4i)(2-6i) 1 solutions Answer 293473 by Alan3354(30993)   on 2011-03-09 11:43:51 (Show Source): You can put this solution on YOUR website! (3-4i)(2-6i) ------------- Multiply like any 2 binomials. (3-4i)(2-6i) = 3(2-6i) - 4i(2-6i) = = 6 - 26i +24*(-1) = -18 - 26i

Polynomials-and-rational-expressions/419767: what is the coefficient of q2: -12q2-q+11? please explain !! 1 solutions Answer 293459 by Alan3354(30993)   on 2011-03-09 10:51:19 (Show Source): You can put this solution on YOUR website! -12 q^2 is multiplied by -12

Quadratic_Equations/419764: solve using the quadratic formula and leave the answer in radical form? Could you show work as I am very confused. Thanks. Karyn y^2+6y-1=0 1 solutions Answer 293457 by Alan3354(30993)   on 2011-03-09 10:43:02 (Show Source): You can put this solution on YOUR website! solve using the quadratic formula and leave the answer in radical form? Could you show work as I am very confused. Thanks. --------------- Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=40 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.16227766016838, -6.16227766016838. Here's your graph: Sub x for y --------------- x = -3 ± sqrt(10)

Sequences-and-series/419603: x² - 5x + 6 1 solutions Answer 293382 by Alan3354(30993)   on 2011-03-08 21:03:59 (Show Source): You can put this solution on YOUR website! What about it? Do you have a question?

Numbers_Word_Problems/419324: okay, kinda not the topic but.....i have a 71 as my final grade average in language arts. If, i make a 86 on my exam. What will be my final grade average for that class??? 1 solutions Answer 293265 by Alan3354(30993)   on 2011-03-08 14:55:37 (Show Source): You can put this solution on YOUR website! okay, kinda not the topic but.....i have a 71 as my final grade average in language arts. If, i make a 86 on my exam. What will be my final grade average for that class??? ----------------------- Not enough info. How many tests make up the 71 average? Do they all count the same? ----------- Final avg = (71*T + 86)/(T + 1) ----------------------- T = number of tests taken for the 71%, and assuming all tests count the same.

Miscellaneous_Word_Problems/419207: trains a and b are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train b is traveling at 44 miles per hour. Train A passes a station at 4:20 am. If train b passes the same station at 4:50am, at what time will train b catch up to train a''. what time will train b catch up to train a?? 1 solutions Answer 293263 by Alan3354(30993)   on 2011-03-08 14:38:22 (Show Source): You can put this solution on YOUR website! trains a and b are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train b is traveling at 44 miles per hour. Train A passes a station at 4:20 am. If train b passes the same station at 4:50am, at what time will train b catch up to train a''. what time will train b catch up to train a?? ---------------------- Train A is 20 miles ahead at 0450 (40 mph * 0.5 hr) Train B gains on train A at 4 mph (44- 40) 20 mi/4 mph = 5 hours 0450 + 5 = 0950 or 9:50 AM

Volume/419307: A diagram shows two similar cylinders. The radius of the smaller cylinder is half the raduis of the larger cylinder. The volume of the smaller cylinder is 200cm cubed. Find the volume of the larger cylinder. I know the formula for a cylinder is pie radius squared times height and i am almost certain a scale factor is involed - Iam just not sure in how to solve this problem. Many Thanks. 1 solutions Answer 293262 by Alan3354(30993)   on 2011-03-08 14:30:06 (Show Source): You can put this solution on YOUR website! A diagram shows two similar cylinders. The radius of the smaller cylinder is half the raduis of the larger cylinder. The volume of the smaller cylinder is 200cm cubed. Find the volume of the larger cylinder. ------------- If the heights are the same, the larger cylinder is 4x the volume = 800 cc Volume is a function of the square of the radius. PS It's pi, the Greek letter, not pie, the dessert.

Probability-and-statistics/419253: Please help me with my math homework: 1. A quiz consists of 5 multiple-choice questions, each has three possible answers. In how many different ways can the quiz be answered if an answer is chosen for each question? I said 5 x 3 = 15 2. In how many ways can three different math books and four different English books be arranged in a row if the books for each subject are placed together? 3 x 4 = 12 3. In how many different ways can three finalists be selected from 15 job applicants for a second round interview? 15 x 3 = 45 4. Fifteen dogs enter a Goofy Dog contest. In how many different ways can a champion, a first runner-up, and a second runner-up be selected? 15 x 3 = 45 Is this correct? 1 solutions Answer 293232 by Alan3354(30993)   on 2011-03-08 11:52:26 (Show Source): You can put this solution on YOUR website! 1. A quiz consists of 5 multiple-choice questions, each has three possible answers. In how many different ways can the quiz be answered if an answer is chosen for each question? I said 5 x 3 = 15 It's 3^5 = 243 possibilities. If the answers for each are A, B & C, you can have A A A A A A A A A B A A A A C A A A B A A A A B B A A A B C A A A C A A A A C B A A A C C etc. You can see there are more than 15. -------------------------------- 2. In how many ways can three different math books and four different English books be arranged in a row if the books for each subject are placed together? 3 x 4 = 12 With the math books first, the 1st book can be 1 of 3, the 2nd 1 of 2, then 1 = 3*2*1 = 6 For the English books, it's 4*3*2 *1 = 24 6*24 = 144 Then the English books can be first, --> 288 ways. ---------------------------- 3. In how many different ways can three finalists be selected from 15 job applicants for a second round interview? 15 x 3 = 45 It's 15*14*13 = 2730 ---------------------- 4. Fifteen dogs enter a Goofy Dog contest. In how many different ways can a champion, a first runner-up, and a second runner-up be selected? 15 x 3 = 45 Same as #3, 2730

Square-cubic-other-roots/419243: Rewrite with rational exponets ^3 sqrt xy^2z 1 solutions Answer 293224 by Alan3354(30993)   on 2011-03-08 11:30:46 (Show Source): You can put this solution on YOUR website! What does ^3 mean?

Numbers_Word_Problems/419233: one number is 12 greater than another. The product of the numbers is 28. What are the numbers? 1 solutions Answer 293214 by Alan3354(30993)   on 2011-03-08 11:15:44 (Show Source): You can put this solution on YOUR website! 28 doesn't have many factors. 1 & 28 don't fit. 2 & 14 work, that's the answer. --------------- 4 & 7 don't work.

Mixture_Word_Problems/419154: How many liters of a 50% acid solution must be added to 80 liters of 30% solution to obtain a 40%solution? 1 solutions Answer 293188 by Alan3354(30993)   on 2011-03-08 09:37:00 (Show Source): You can put this solution on YOUR website! 40% is the average of 50% and 30%, so it's equal amounts.

Square-cubic-other-roots/419022: 3rd square root of 250 1 solutions Answer 293100 by Alan3354(30993)   on 2011-03-07 21:33:15 (Show Source): You can put this solution on YOUR website! There are only 2 square roots of 250, there's no 3rd square root. If you mean the cube root, ----------- That's the approximate principal cube root. There are 2 others.

Coordinate-system/418799: when not given the coordinates iam not sure how to find the slope 1 solutions Answer 293018 by Alan3354(30993)   on 2011-03-07 16:21:29 (Show Source): You can put this solution on YOUR website! What are you given?

Problems-with-consecutive-odd-even-integers/418783: the numbers are consecutive integers.six times the smaller integer.find the integers. 1 solutions Answer 293017 by Alan3354(30993)   on 2011-03-07 16:19:54 (Show Source): You can put this solution on YOUR website! the numbers are consecutive integers.six times the smaller integer.find the integers. --------------------- Pick any 2. 7 & 8. 6*7 = 42 ---------------- 41 & 42. 6*41 = 246

Exponential-and-logarithmic-functions/418772: What rate of interest compounded annually is required to triple an investment in 10 years? 1 solutions Answer 292997 by Alan3354(30993)   on 2011-03-07 15:32:12 (Show Source): You can put this solution on YOUR website! Do it like this one. -------------------- What rate of interest compounded annually is required to double an investment in 6 years? ---------------- 2A = A*(1 + r)^6 (1 + r)^6 = 2 1 + r =~ 1.1225 r =~ 12.25%

Exponential-and-logarithmic-functions/418770: What rate of interest compounded annually is required to double an investment in 6 years? 1 solutions Answer 292996 by Alan3354(30993)   on 2011-03-07 15:31:21 (Show Source): You can put this solution on YOUR website! What rate of interest compounded annually is required to double an investment in 6 years? ---------------- 2A = A*(1 + r)^6 (1 + r)^6 = 2 1 + r =~ 1.1225 r =~ 12.25%

Exponential-and-logarithmic-functions/418769: Find the principal needed now to get each amount; that is, find the present value. To get $800 after 2.5 years at 8% compounded continuously. 1 solutions Answer 292994 by Alan3354(30993)   on 2011-03-07 15:26:53 (Show Source): You can put this solution on YOUR website! Find the principal needed now to get each amount; that is, find the present value. To get $800 after 2.5 years at 8% compounded continuously. -------------- Amt =~ $654.98

Exponential-and-logarithmic-functions/418765: Find the amount that results from each investment. $40 invested at 7% compounded continuously after a period of 3 years. 1 solutions Answer 292993 by Alan3354(30993)   on 2011-03-07 15:23:34 (Show Source): You can put this solution on YOUR website! Find the amount that results from each investment. $40 invested at 7% compounded continuously after a period of 3 years. ------------ = =~ $49.35

Equations/418739: 75x^2+30+3 factored and then put under a radicand 1 solutions Answer 292988 by Alan3354(30993)   on 2011-03-07 15:06:36 (Show Source): You can put this solution on YOUR website! 75x^2+30+3 factored and then put under a radicand = = -->

Distributive-associative-commutative-properties/418710: I'm trying to figure how to solve 4x squared-36xy+18y squared? Im not sure how to factor this out. This is what I've come up with this far x(2x- )(2x- ) 1 solutions Answer 292986 by Alan3354(30993)   on 2011-03-07 15:01:09 (Show Source): You can put this solution on YOUR website! I'm trying to figure how to solve 4x squared-36xy+18y squared? Im not sure how to factor this out. This is what I've come up with this far x(2x- )(2x- ) --------------- First, you don't solve it, you just factor it. Equations are solved, this is not an equation since there's no equal sign. ------------------ Next, you can't factor out an x since the last term 18y^2 has no x in it. ------------------ = That's all that can be done. ---------------------

Expressions-with-variables/418741: Could someone please help me to solve and show me how to do this equation? -8x-20=25 and 1/3 1 solutions Answer 292983 by Alan3354(30993)   on 2011-03-07 14:51:57 (Show Source): You can put this solution on YOUR website! -8x-20=25 and 1/3 -------------- There are several steps, and can be done in any order. -8x - 20 = 25 1/3 Add 20 to both sides -8x = 45 1/3 -8x = 136/3 Divide by 8 -x = 17/3 x = -17/3

test/418728: How would I graph y=-2 sin 2x? 1 solutions Answer 292980 by Alan3354(30993)   on 2011-03-07 14:35:00 (Show Source): You can put this solution on YOUR website! Pick values for x in either degrees or radians, and find the y values. Plot the points, draw a curve thru them. ----------- dl the FREE graph software at http://www.padowan.dk

Evaluation_Word_Problems/418726: what would a graph look like for the problem g(x)1/x^2-9 1 solutions Answer 292973 by Alan3354(30993)   on 2011-03-07 14:09:24 (Show Source): You can put this solution on YOUR website! that's not clear

Evaluation_Word_Problems/418725: what would a graph look like for the problem f(x)2/x-2 1 solutions Answer 292971 by Alan3354(30993)   on 2011-03-07 14:08:29 (Show Source): You can put this solution on YOUR website! It's not clear what that means, f(x)2/x-2

Exponents/418720: if ((8^x)(9^2y))=81(2^12y) what does x equal? I have no idea where to start on this one. I had trouble writing this equation, if I were to read it I would say "if eight to the x times nine to the two y equals 81 times two to the 12 y, what does x equal? Thank you so much! 1 solutions Answer 292970 by Alan3354(30993)   on 2011-03-07 14:06:16 (Show Source): You can put this solution on YOUR website! if ((8^x)(9^2y))=81(2^12y) what does x equal? ---------------- You can solve for x in terms of y. Some manipultion is possible, but "simplification" is sometimes a matter of opinion. All the logs of constants are constants, so it could be calculated to be a constant times y, x = Cy

Linear_Equations_And_Systems_Word_Problems/418721: The ratio of men to women in a certain factory is 3 to 4. There are 210 men.How many workers are there? 1 solutions Answer 292965 by Alan3354(30993)   on 2011-03-07 13:53:29 (Show Source): You can put this solution on YOUR website! 3+4 = 7 210/7 = 30 --> 3*30 = 90 men 4*30 = 120 women