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# Recent problems solved by 'Alan3354'

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 logarithm/328861: Salinity to depths of 1000 meters at a certain longitude is moldeled by the function: f(x)=30.6+1.3 log(x+1) input x is depth in meters output f(x) is in grams of salt per Kg of sea water Aprroximate analytically the depth where salinity = 33 The given answer is 69 but I get 57 every time and every way I try... AAAggHHh !!!1 solutions Answer 235605 by Alan3354(31487)   on 2010-08-04 15:29:21 (Show Source): You can put this solution on YOUR website!Salinity to depths of 1000 meters at a certain longitude is moldeled by the function: f(x)=30.6+1.3 log(x+1) input x is depth in meters output f(x) is in grams of salt per Kg of sea water Aprroximate analytically the depth where salinity = 33 33 = 30.6 + 1.3log(x+1) 1.3log(x+1) = 2.4 log(x+1) = 2.4/1.3 x+1 = 10^(2.4/1.3) x+1 =~ 70.17 x = 69 ------------- The given answer is 69 but I get 57 every time and every way I try... AAAggHHh !!!
 Graphs/328824: graph the following equation by using a table first and then graph 4 points. y=31 solutions Answer 235577 by Alan3354(31487)   on 2010-08-04 13:25:54 (Show Source): You can put this solution on YOUR website!Pick 4 values for x (0,3) (1,3) (5,3) (100,3) y = 3 whatever x is.
 Inequalities/328817: 9x> -1 This is a problem that I need help with. I would like you to explain to me how I should work this problem so next time I see a problem that is close to that I will know how to work it. 1 solutions Answer 235575 by Alan3354(31487)   on 2010-08-04 13:24:30 (Show Source): You can put this solution on YOUR website!9x> -1 Divide by 9 x > -1/9
 Quadratic_Equations/328813: In the equation (x+9)^2-6: Is the vertex 3,-3 and the symmetry 3?1 solutions Answer 235574 by Alan3354(31487)   on 2010-08-04 13:23:16 (Show Source): You can put this solution on YOUR website!There's no equation shown.
 Geometry_Word_Problems/328794: A line intersects a cube at two points, A and B. If each edge of the cube is 4 cm, what is the greatest possible distance between A and B?1 solutions Answer 235569 by Alan3354(31487)   on 2010-08-04 12:41:05 (Show Source): You can put this solution on YOUR website!It's the diagonal. d^2 = 3*4^2 = 48 d = sqrt(48) = 4sqrt(3)
 Linear-equations/328805: 5/8 - 2/5 = 1 over Y. How do i solve for Y1 solutions Answer 235568 by Alan3354(31487)   on 2010-08-04 12:39:02 (Show Source): You can put this solution on YOUR website!5/8 - 2/5 = 1 over Y 5/8 - 2/5 = 1/y 25/40 - 16/40 = 1/y 9/40 = 1/y y = 40/9
1 solutions

Answer 235567 by Alan3354(31487)   on 2010-08-04 12:36:09 (Show Source):
You can put this solution on YOUR website!
 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=9 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 4, 1. Here's your graph:

 Travel_Word_Problems/328806: What is the speed of a plane that travels at a rate of 500mph against a wind of r mph1 solutions Answer 235566 by Alan3354(31487)   on 2010-08-04 12:34:46 (Show Source): You can put this solution on YOUR website!The ground speed = 500 - r
 Complex_Numbers/328808: If n represents an even integer , what represents the next larger even integer?1 solutions Answer 235565 by Alan3354(31487)   on 2010-08-04 12:33:50 (Show Source): You can put this solution on YOUR website!n + 2
 Matrices-and-determiminant/328555: Find 5A + 3B. A = 2 -5 -5 2 B = 5 -2 2 -5 1 solutions Answer 235418 by Alan3354(31487)   on 2010-08-03 21:12:54 (Show Source): You can put this solution on YOUR website! Find 5A + 3B. A = +2 -5 -5 2 5A = 10 -25 -25 10 --------- B = 5 -2 2 -5 3B = 15 -6 6 -15 ----- 5A + 3B = +25 -31 -19 -5
 Linear-equations/328607: this question is in my sons summer math packet "sketch the plane defined by the equation 2x+y-z=10" I wish I could show you our work but after hours of research we don't have a clue. thank you very much Tom Gibson cave creek az 1 solutions Answer 235416 by Alan3354(31487)   on 2010-08-03 21:08:05 (Show Source): You can put this solution on YOUR website!"sketch the plane defined by the equation 2x+y-z=10" ------------------- Sketch the xyz system, usually it's y + to the right, z + up, and x about 45º down and to the left. Find the intercepts: when x&y = 0, z = -10. Plot that point on the z-axis when x&z = 0, y = +10. Plot that on the y-axis when y&z = 0, x = + 5. Plot that one. --------------- Connect the 3 points with lines, then you might try to shade the plane. --------------- dl MathGV from mathgv.com, it might help, might not.
 Square-cubic-other-roots/328480: (-16)^1/4 for my answer I got ^4 sqrt 16 = 31 solutions Answer 235351 by Alan3354(31487)   on 2010-08-03 16:50:54 (Show Source): You can put this solution on YOUR website!(-16)^1/4 ----------- there's no 3 involved. -------------------------------------- -16 = 16cis(180) (-16)^1/4 = 2cis(45 + n*360) = 2cis(45), 2cis(135), 2cis(225), 2cis(315) = sqrt(2) + i*sqrt(2) = -sqrt(2) + i*sqrt(2) = -sqrt(2) - i*sqrt(2) = sqrt(2) - i*sqrt(2) ------------------------
 Travel_Word_Problems/328546: a baseball player hit a ball straight up in the air it left the bat with a speed of 120km/hr. how fast will the ball be traveling when the catcher catches it(no air resistance1 solutions Answer 235345 by Alan3354(31487)   on 2010-08-03 16:32:12 (Show Source): You can put this solution on YOUR website!The same speed, 120 km/hr
 Linear_Equations_And_Systems_Word_Problems/328547: Solve each system, if possible. Thanks for any help you can provide. 3x+y+z=0 2x-y+z=0 2x+y+z=01 solutions Answer 235343 by Alan3354(31487)   on 2010-08-03 16:29:57 (Show Source): You can put this solution on YOUR website!x = y = z = 0
 logarithm/328542: Find the logarithm using the change of base formula : log 7 151 solutions Answer 235341 by Alan3354(31487)   on 2010-08-03 16:27:39 (Show Source): You can put this solution on YOUR website!Find the logarithm using the change of base formula : log 7 15 Ok, why don't you?
 logarithm/328530: Solve where appropriate 43=4e^3x1 solutions Answer 235334 by Alan3354(31487)   on 2010-08-03 16:15:47 (Show Source): You can put this solution on YOUR website!43=4e^3x e^3x = 43/4 = 10.75 3x = ln(10.75) x = ln(10.75)/3
 Numeric_Fractions/328520: 1. What is the average (arithmetic mean) of 8, 7, 7, 5, 3, 2, and 2? A. 3 4/7 B. 4 5/6 C. 4 6/7 D. 5 E. 6 4/5 1 solutions Answer 235315 by Alan3354(31487)   on 2010-08-03 15:51:32 (Show Source): You can put this solution on YOUR website!There are 7 numbers. Add them up, divide by 7.
 Exponential-and-logarithmic-functions/328529: Find the logarithm using the change-of-base formula. Round to the nearest ten-thousandth for log6.4 39 1 solutions Answer 235308 by Alan3354(31487)   on 2010-08-03 15:41:26 (Show Source): You can put this solution on YOUR website!= log(39)/log(6.4)
 Human-and-algebraic-language/328490: 4. A bullet is fired vertically upward. Its distance s (in ft) above the ground is given by: s=2250t-16.1t^2 where t is the time (in s). Find the acceleration of the bullet. 1 solutions Answer 235282 by Alan3354(31487)   on 2010-08-03 14:25:45 (Show Source): You can put this solution on YOUR website!s=2250t-16.1t^2 --------------- Acceleration is the 2nd derivative a = -32.2 ft/sec/sec
 Human-and-algebraic-language/328499: A space vehicle is launched vertically from the ground such that its velocity v (in km/s) is given by: v= (ln^2(t^3+1)) t^2/t^3+1 where t is the time in seconds. Find the altitude of the vehicle after 10 seconds. 1 solutions Answer 235280 by Alan3354(31487)   on 2010-08-03 14:23:29 (Show Source): You can put this solution on YOUR website!ln of what squared?
 Human-and-algebraic-language/328500: The velocity ds/dt (in meters/second) of a projectile is given by ds/dt=-9.8t+16 Find the displacement s of the object after 4 seconds if the initial displacement is 48 m. 1 solutions Answer 235278 by Alan3354(31487)   on 2010-08-03 14:21:33 (Show Source): You can put this solution on YOUR website!The velocity ds/dt (in meters/second) of a projectile is given by ds/dt=-9.8t+16 Find the displacement s of the object after 4 seconds if the initial displacement is 48 m. ----------------- s = the integral of ds/dt s = -4.9t^2 + 16t + C C = 48 m, the initial displacement ------------------ s(t) = -4.9t^2 + 16t + 48 s(4) = -4.9*16 + 64 + 48 s(4) = 33.6 meters
 Linear-equations/328446: rewrite the equation 2x=3y=6 in slope-intercept form.1 solutions Answer 235271 by Alan3354(31487)   on 2010-08-03 13:50:08 (Show Source): You can put this solution on YOUR website!Too many equal signs.
 Evaluation_Word_Problems/328404: I have 6 more than 5 times as many apples than you." 1 solutions Answer 235243 by Alan3354(31487)   on 2010-08-03 10:52:03 (Show Source): You can put this solution on YOUR website!That's ok with me.
 Polynomials-and-rational-expressions/328406: solve the equation and check your answer! Q+8/3+Q-2/2=10/3 Thank you1 solutions Answer 235242 by Alan3354(31487)   on 2010-08-03 10:45:49 (Show Source): You can put this solution on YOUR website!Duplicate
 Polynomials-and-rational-expressions/328405: Solve the equation and check your answer! q+8/3+q-2/2=10/3 Thank you~1 solutions Answer 235241 by Alan3354(31487)   on 2010-08-03 10:44:39 (Show Source): You can put this solution on YOUR website!q+8/3+q-2/2=10/3 q + q -2/2 = 2/3 2q - 1 = 2/3 2q = 5/3 q = 5/6 ----------- You check it !!!!
 Travel_Word_Problems/328411: An airplane took 2.5 hours to fly 625 miles with the wind. It took 4 hours and 10 minutes to make the return trip against the same wind. Find the wind speed and the speed of the plane in still air. (Show all work) 1 solutions Answer 235240 by Alan3354(31487)   on 2010-08-03 10:42:05 (Show Source): You can put this solution on YOUR website!An airplane took 2.5 hours to fly 625 miles with the wind. It took 4 hours and 10 minutes to make the return trip against the same wind. Find the wind speed and the speed of the plane in still air. ------------------ 625 miles/2.5 hrs = 250 mph 625 miles/(4 1/6) hrs = 625/(25/6) = 150 mph -------------- The "speed in still air" is the airspeed, and is the average = (250+150)/2 = 200 mph ------------------------- The windspeed is the difference: 250 - 200 = 50 mph
 Polynomials-and-rational-expressions/328412: Simplify by removing factors of 1 10y^10/35y^6 Thank you1 solutions Answer 235239 by Alan3354(31487)   on 2010-08-03 10:38:47 (Show Source): You can put this solution on YOUR website!Cancel the y terms until the denominator has none. Divide NUM and DEN by 5.
 Polynomials-and-rational-expressions/328410: Divide and simplify y^2-25/y divided by y+5/y+7 Thank you1 solutions Answer 235237 by Alan3354(31487)   on 2010-08-03 10:35:42 (Show Source): You can put this solution on YOUR website!Divide and simplify y^2-25/y divided by y+5/y+7 ---------------------- Invert the divisor and multiply. Factor y^2 - 25, and cancel some terms.
 Parallelograms/328401: what is 3x+4 5x-6 solve for x in a paralleogram1 solutions Answer 235236 by Alan3354(31487)   on 2010-08-03 10:28:16 (Show Source): You can put this solution on YOUR website!I don't know what that means.
 Quadratic_Equations/328379: Solve for x. 4x^2=-13x-101 solutions Answer 235231 by Alan3354(31487)   on 2010-08-03 10:19:53 (Show Source): You can put this solution on YOUR website!Solve for x. 4x^2=-13x-10 (4x + 5)*(x + 2) = 0 x = -2, -5/4