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Alan3354 answered: 31497 problems
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Matrices-and-determiminant/683326: x+y=11 x*y=11 find x,y?? 1 solutions Answer 423541 by Alan3354(31518)   on 2012-11-20 17:10:14 (Show Source): You can put this solution on YOUR website! x+y=11 --> y = 11-x x*y=11 =========== Sub for y in the 2nd eqn x(11-x) = 11 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=77 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 9.88748219369606, 1.11251780630394. Here's your graph: -------------- The 2 solutions are for x & y

Word_Problems_With_Coins/683367: how many nickels are in 8.00? 1 solutions Answer 423539 by Alan3354(31518)   on 2012-11-20 17:06:47 (Show Source): You can put this solution on YOUR website! 160

test/683331: 8x+4y=16 1 solutions Answer 423530 by Alan3354(31518)   on 2012-11-20 16:35:20 (Show Source): You can put this solution on YOUR website! 8x+4y=16 What about it? Do you have a question?

Age_Word_Problems/683264: This number is 24 times plus 11 bigger than 17 1 solutions Answer 423511 by Alan3354(31518)   on 2012-11-20 15:38:16 (Show Source): You can put this solution on YOUR website! This number is 24 times plus 11 bigger than 17 -------------- Your statement makes no sense.

Probability-and-statistics/683251: PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Find the total amount of interest to be paid on a 30 year term on a $60,000 mortgage to be amortized at 7.5% interest. TTHANK YOU!!!! 1 solutions Answer 423510 by Alan3354(31518)   on 2012-11-20 15:37:17 (Show Source): You can put this solution on YOUR website! Find the total amount of interest to be paid on a 30 year term on a $60,000 mortgage to be amortized at 7.5% interest. --------------- Google amortization

Geometry_Word_Problems/683328: A wooden cube of side 15cm is used to make a spherical ball. Work out the volume of wood that must be cut from the cube to make a ball with the largest possible radius. 1 solutions Answer 423509 by Alan3354(31518)   on 2012-11-20 15:32:00 (Show Source): You can put this solution on YOUR website! A wooden cube of side 15cm is used to make a spherical ball. Work out the volume of wood that must be cut from the cube to make a ball with the largest possible radius. --------------- The largest diameter = side length = 15 cm r = 7.5 cm Vol of cube = 15^3 cc Vol of sphere = cc Wood removed is the difference

Quadratic_Equations/683306: how do you solve the problem 5m^2=125 1 solutions Answer 423506 by Alan3354(31518)   on 2012-11-20 15:28:28 (Show Source): You can put this solution on YOUR website! how do you solve the problem 5m^2=125 Divide by 5 m^2 = 25 m = -5, +5

logarithm/683329: log_2(x+5) - log_2(x) = 4 and 2^(3x-2)= 3^(2x-1) 1 solutions Answer 423503 by Alan3354(31518)   on 2012-11-20 15:26:50 (Show Source): You can put this solution on YOUR website! log_2(x+5) - log_2(x) = 4 I think you mean base 2 x+5 = 16x 15x = 5 x = 1/3 =========== and 2^(3x-2)= 3^(2x-1) (3x-2)*log(2) = (2x-1)*log(3) etc

Linear-equations/683193: I'm having trouble starting this calculus problem: Find the slope of the tangent line of x^2/3 + y^2/3 = 4 at the point (-1,3sqrt3). Thank you! 1 solutions Answer 423491 by Alan3354(31518)   on 2012-11-20 10:49:13 (Show Source): You can put this solution on YOUR website! Find the slope of the tangent line of x^2/3 + y^2/3 = 4 at the point (-1,3sqrt3). ------------- differentiate implicitly 2xdx + 2ydy = 0 dy/dx = -y/x (for all cirlces) ---------- The point is not on the circle, tho.

Points-lines-and-rays/683184: octagon with each side of 80 steps 1 solutions Answer 423482 by Alan3354(31518)   on 2012-11-20 08:29:41 (Show Source): You can put this solution on YOUR website! octagon with each side of 80 steps ----- What about it?

Travel_Word_Problems/683178: how is the velocity calculated if the velocity is walking against the wind? 1 solutions Answer 423481 by Alan3354(31518)   on 2012-11-20 08:27:43 (Show Source): You can put this solution on YOUR website! how is the velocity calculated if the velocity is walking against the wind? ------------ Velocity (or speed) is always wrt (with respect to) a frame of reference. The speed wrt the Earth is the most common. Walking against the wind, the speed wrt the wind is the speed wrt to Earth + the windspeed. ==================== Velocity is a vector that spec's speed and direction, tho it's often used when speed should be used.

Triangles/683093: If the Area of Tringle is A=25 B=112 fine the C=? 1 solutions Answer 423470 by Alan3354(31518)   on 2012-11-19 22:53:41 (Show Source): You can put this solution on YOUR website! If the Area of Tringle is A=25 B=112 fine the C=? ------------- I don't know what that means.

Graphs/683053: At what value of x does the function f(x) = 1 / (1+x^2) change from increasing to decreasing? 1 solutions Answer 423463 by Alan3354(31518)   on 2012-11-19 21:59:28 (Show Source): You can put this solution on YOUR website! At what value of x does the function f(x) = 1 / (1+x^2) change from increasing to decreasing? ------------------- At x = 0

Linear-equations/683060: I don't know what type of help I need. I am trying to solve the problem - the product of two numbers is 442. The sum of the two numbers is 43. Find the two numbers. I don't know if this is algebra or what it is. I tried timesing 43 by several numbers and I tried dividing 442 but I can't find an answer. 1 solutions Answer 423457 by Alan3354(31518)   on 2012-11-19 21:40:49 (Show Source): You can put this solution on YOUR website! I don't know what type of help I need. I am trying to solve the problem - the product of two numbers is 442. The sum of the two numbers is 43. ------------- 442 has only 3 integer factors, 2, 13 & 17 It's either: 2*221 26*17 13*34 ----- only 26 + 17 = 43

logarithm/683050: Can you please simplify 2+ ? Thank you, so much! 1 solutions Answer 423455 by Alan3354(31518)   on 2012-11-19 21:38:03 (Show Source): You can put this solution on YOUR website! Can you please simplify 2+ --------- 2 + 15 = 17

Equations/683056: find the y-intercept for y= -3(x+2)^2 -4 1 solutions Answer 423453 by Alan3354(31518)   on 2012-11-19 21:36:19 (Show Source): You can put this solution on YOUR website! find the y-intercept for y= -3(x+2)^2 -4 At the y-intercept, x = 0 y = -3*(2^2) - 4 y = -16

logarithm/683065: How to find a logarithm of log(16) ? 1 solutions Answer 423451 by Alan3354(31518)   on 2012-11-19 21:34:11 (Show Source): You can put this solution on YOUR website! How to find a logarithm of log(16) ? ------------ I would use a calculator. log(16) =~ 1.20412 log(log(16)) =~ 0.08067

Expressions-with-variables/683024: If 3% of a is the same as 5% of 120, then what is a? Can you please help me with this problem (with the work shown)...I need it quick! Thanks much. 1 solutions Answer 423438 by Alan3354(31518)   on 2012-11-19 21:08:17 (Show Source): You can put this solution on YOUR website! If 3% of a is the same as 5% of 120, then what is a? ---------- 0.03a = 0.05*120 = 6 a = 6/0.03 a = 200

Expressions-with-variables/682926: p/1.2=1.4, p=1.68, how do you get 1.68? 1 solutions Answer 423406 by Alan3354(31518)   on 2012-11-19 19:16:28 (Show Source): You can put this solution on YOUR website! 1.2*1.4 = 1.68

Travel_Word_Problems/682953: How do u solve 55 miles per hour to feet per second?? 1 solutions Answer 423404 by Alan3354(31518)   on 2012-11-19 19:14:53 (Show Source): You can put this solution on YOUR website! How do u solve 55 miles per hour to feet per second?? -------------- It's not solving, it's converting. Use 15 mi/hr = 22 ft/sec You can work that out if you care to. ---- 55*(22/15) = 1210/15 ft/sec = 242/3 ft sec

Numeric_Fractions/682892: 8/3 1 solutions Answer 423378 by Alan3354(31518)   on 2012-11-19 18:07:20 (Show Source): You can put this solution on YOUR website! What about it?

Distributive-associative-commutative-properties/682911: Factor 6x^2+16x-6 1 solutions Answer 423377 by Alan3354(31518)   on 2012-11-19 18:05:34 (Show Source): You can put this solution on YOUR website! Factor 6x^2+16x-6 -------------- Hint: All the coefficients are even numbers.

Travel_Word_Problems/682923: Stephanie biked 82 1/2 miles in 6 3/4 hours. How many miles did she travel in 1 hour? 1 solutions Answer 423376 by Alan3354(31518)   on 2012-11-19 18:04:04 (Show Source): You can put this solution on YOUR website! Stephanie biked 82 1/2 miles in 6 3/4 hours. How many miles did she travel in 1 hour? ------------- d = r*t r = d/t

Angles/682915: What is the supplement of a 115 degree angle 1 solutions Answer 423374 by Alan3354(31518)   on 2012-11-19 18:03:25 (Show Source): You can put this solution on YOUR website! What is the supplement of a 115 degree angle ------------- Supplementary angles add to 180 degs

Travel_Word_Problems/682741: If travelling at 2kph, how far will i travel in 36 minutes 1 solutions Answer 423315 by Alan3354(31518)   on 2012-11-19 13:48:04 (Show Source): You can put this solution on YOUR website! If travelling at 2kph, how far will i travel in 36 minutes ---------- 36 mins = 0.6 hours d = r*t

Quadratic_Equations/682722: I answered the equation 9x^2=36 in what i thought was quadratic form but my professor informed me that it was not, i got the answer 2,-2 which was correct.. what are the correct steps to this problem? 1 solutions Answer 423314 by Alan3354(31518)   on 2012-11-19 13:46:13 (Show Source): You can put this solution on YOUR website! I answered the equation 9x^2=36 in what i thought was quadratic form but my professor informed me that it was not, i got the answer 2,-2 which was correct.. what are the correct steps to this problem? ------------- 9x^2 = 36 x^2 = 4 x = -2, +2 --------- Or 9x^2 - 36 = 0 x^2 - 4 = 0 (x-2)*(x+2) = 0 same answer

Numeric_Fractions/682769: How do I work the problem: 5/2*x + 1/4= 7 3/4 I get the - 1/4 from the 7 3/4 and I get lost at 5/2*x = 7 2/4 1 solutions Answer 423311 by Alan3354(31518)   on 2012-11-19 13:43:22 (Show Source): You can put this solution on YOUR website! (5/2)x + 1/4= 7 3/4 Step 1, eliminate fractions. Multiply thru by 4 10x + 1 = 31 10x = 30 x = 3

Travel_Word_Problems/682768: Engel is driving a jet ski at 45mph against the current. Going with the current, it only took 1 hour to get back. How long did it take him, going against the current?. 1 solutions Answer 423310 by Alan3354(31518)   on 2012-11-19 13:41:57 (Show Source): You can put this solution on YOUR website! Engel is driving a jet ski at 45mph against the current. Going with the current, it only took 1 hour to get back. How long did it take him, going against the current?. ----------------- Not enough info.

Exponential-and-logarithmic-functions/682704: How do i solve 4e^2x-5=3 1 solutions Answer 423290 by Alan3354(31518)   on 2012-11-19 11:43:34 (Show Source): You can put this solution on YOUR website! How do i solve 4e^2x-5=3 is the exponent 2x? or 2x-5?

Trigonometry-basics/682693: sqrt(3)csc(t)-2=0 1 solutions Answer 423288 by Alan3354(31518)   on 2012-11-19 11:25:51 (Show Source): You can put this solution on YOUR website! sqrt(3)csc(t)-2=0 ----------- Hint: csc = 1/sin

logarithm/682678: (a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log8.6(113) (b) Give a calculator approximation (correct to four decimal places) . log8.6(113) 1 solutions Answer 423283 by Alan3354(31518)   on 2012-11-19 11:09:04 (Show Source): You can put this solution on YOUR website! (a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log8.6(113) (b) Give a calculator approximation (correct to four decimal places) ---------------- --------- =~ 2.197