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# Recent problems solved by 'Alan3354'

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 Travel_Word_Problems/248748: An object is projected directly upward from the ground. After t seconds its distance in feet above the ground is s = 144t – 16t2. a. After how many seconds will the object be 128 feet above the ground? b. When does the object strike the ground? 1 solutions Answer 181235 by Alan3354(30993)   on 2009-12-11 14:50:52 (Show Source): You can put this solution on YOUR website!An object is projected directly upward from the ground. After t seconds its distance in feet above the ground is s = 144t – 16t2. a. After how many seconds will the object be 128 feet above the ground? 128 = 144t - 16t^2 -16t^2 + 144t - 128 = 0 -t^2 + 9t - 8 = 0 t = 3, 6 3 seconds going up 6 seconds coming down ---------------------- b. When does the object strike the ground? 144t - 16t^2 = 0 t = 0 (at launch) t = 9 seconds (at impact)
 Geometry_Word_Problems/248612: Two of the angles of a heptagon are 150 degrees. The other 5 angles are all y. What is the value of y?1 solutions Answer 181214 by Alan3354(30993)   on 2009-12-11 12:36:35 (Show Source): You can put this solution on YOUR website!Two of the angles of a heptagon are 150 degrees. The other 5 angles are all y. What is the value of y? ------------------- A heptagon has 7 sides. The total of the angles is 180*(n-2) = 900 degrees. 900 - 2*150 = 600 600/5 = 120 degrees = y
 Polynomials-and-rational-expressions/246375: determine lowest common denominator 2/3 3/4 7/12 9/161 solutions Answer 181053 by Alan3354(30993)   on 2009-12-10 19:20:36 (Show Source): You can put this solution on YOUR website!48
 Finance/248445: this is pre-algerbra I couldnt find it on here but it's front-end estimation here we go question # 1: 1) 345 + 6821 solutions Answer 181050 by Alan3354(30993)   on 2009-12-10 19:18:23 (Show Source): You can put this solution on YOUR website! 345 682 ----- Add 1027 ---------- I don't know what's supposed to be estimated.
 Polynomials-and-rational-expressions/248424: hi i would like to know what are all the real zeros of f(x)=x^4-2x^3-23x^2+24x+144? and can u please show me hot to work it out 1 solutions Answer 181042 by Alan3354(30993)   on 2009-12-10 18:53:13 (Show Source): You can put this solution on YOUR website!I graphed it. The zeroes are -3, -3, 4, 4 x^4-2x^3-23x^2+24x+144 = (x+3)^2*(x-4)^2
 Exponents-negative-and-fractional/248378: i need the derivative of i have is that right?1 solutions Answer 181009 by Alan3354(30993)   on 2009-12-10 17:37:23 (Show Source): You can put this solution on YOUR website!i need the derivative of --------------- Yea, that's right.
 Linear-equations/248336: Can someone help me solve this by the elimination method 9x+9y=-45 3x+9y=-51 The solution is an ordered pair, thank you1 solutions Answer 180982 by Alan3354(30993)   on 2009-12-10 16:46:22 (Show Source): You can put this solution on YOUR website!9x+9y=-45 3x+9y=-51 ---------- Subtract 6x = 6 x = 1 ----- y = -6
 Numbers_Word_Problems/248222: Two plumbers worked a combined 22 hours on a job. One plumber makes \$22 per hour, and the other plumber makes \$18 per hour. If their combined pay for this job was \$448, how many hours did each work?1 solutions Answer 180912 by Alan3354(30993)   on 2009-12-10 11:27:14 (Show Source): You can put this solution on YOUR website!Two plumbers worked a combined 22 hours on a job. One plumber makes \$22 per hour, and the other plumber makes \$18 per hour. If their combined pay for this job was \$448, how many hours did each work? -------------- P1 + P2 = 22 hours P1*22 + P2*18 = 448 ------------------- P2 = 22 - P1 Sub for P2 in the 2nd eqn P1*22 + 18*(22-P1) = 448 4P1 = 52 P1 worked 13 hours P2 worked 9 hours
 logarithm/248198: How do you solve 2log4-log3+2logx-4=0? 1 solutions Answer 180911 by Alan3354(30993)   on 2009-12-10 11:14:22 (Show Source): You can put this solution on YOUR website!2log4-log3+2logx-4=0? ----------------------- 2log(x) = 4 + log(3) - 2log(4) All the terms on the right are constants 2log(x) =~ 3.273 log(x) = 1.6365 x = 43.3
 Graphs/248230: Select the proper equation in point-slope form for the given point and slope. Point: (5, 9); Slope: 2 1 solutions Answer 180907 by Alan3354(30993)   on 2009-12-10 10:51:43 (Show Source): You can put this solution on YOUR website!Select the proper equation in point-slope form for the given point and slope. Point: (5, 9); Slope: 2 ------------ You have to figure it out, there's nothing to select from. Find b using y = mx+b 9 = 2*5 + b b = -1 --> y = 2x - 1
 Divisibility_and_Prime_Numbers/248031: find two factors of 28 and a sum of 111 solutions Answer 180790 by Alan3354(30993)   on 2009-12-09 20:38:27 (Show Source): You can put this solution on YOUR website!4 and 7
 Linear-systems/247989: Write equation in slope intercept format 2x=3y=90 is the answer y=-2/3x+301 solutions Answer 180789 by Alan3354(30993)   on 2009-12-09 20:37:51 (Show Source): You can put this solution on YOUR website!Too many equal signs in the equation.
 Graphs/248034: How do you write an equation for a line with a slope of 2/3 and a y-intercept 0f -3. 1 solutions Answer 180787 by Alan3354(30993)   on 2009-12-09 20:36:18 (Show Source): You can put this solution on YOUR website!How do you write an equation for a line with a slope of 2/3 and a y-intercept 0f -3. --------------- y = (2/3)x - 3
 Numbers_Word_Problems/247942: If it was raining cats and dogs this midnight,would there be sun in 96 hours why or why not? 1 solutions Answer 180786 by Alan3354(30993)   on 2009-12-09 20:34:51 (Show Source): You can put this solution on YOUR website!It would be 4 days later at midnight. If you're inside the Arctic or the Antarctic cirle, it might be sunny if it's summer there. Those areas have 6 months of light and 6 months on night.
 Linear-equations/247962: I have a problem that I do not understand how to do Solve the system of equations by graphing, then classify the system 6x+y=7 7x+8y=-26 Can someone help me out I also need to see a graph so I can see what I'm doing wrong. Thank you so much1 solutions Answer 180765 by Alan3354(30993)   on 2009-12-09 19:17:05 (Show Source): You can put this solution on YOUR website!Solve the system of equations by graphing, then classify the system 6x+y=7 7x+8y=-26 ---------- They're 2 linear equations, so their graphs are straight lines. 2 points is sufficient to plot a line. 6x+y=7 y = 7-6x Pick 2 values for x and find y x...y 0...7 --> (0,7) 1...1 --> (1,1) Plot those 2 points and draw a line thru them. --------- Do the same for the other eqn. Where they intersect is the solution. For help or to check your work, email me at gsihoutx@aol.com
 Polynomials-and-rational-expressions/247931: Solve: 1/w=3/w-1/51 solutions Answer 180745 by Alan3354(30993)   on 2009-12-09 18:41:46 (Show Source): You can put this solution on YOUR website!1/w=3/w-1/5 --------- Multiply by 5w 5 = 15 - w w = 10
 Inequalities/247852: x < 61 solutions Answer 180744 by Alan3354(30993)   on 2009-12-09 18:36:45 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Age_Word_Problems/247782: 3<5 times her age is the same as 3 times her age increased by 371 solutions Answer 180738 by Alan3354(30993)   on 2009-12-09 17:58:15 (Show Source): You can put this solution on YOUR website!age = x 5x-3 = 3x+37 2x = 40 x = 20 ------- < means "is less than", not "less than" The lack of clarity might have caused your problem to be bypassed.
 Sequences-and-series/247903: what is the next term in the sequence 1000, 200, 40, 8 a. 1.6 b. 3 c. 4 d 0.16 1 solutions Answer 180737 by Alan3354(30993)   on 2009-12-09 17:54:26 (Show Source): You can put this solution on YOUR website!Each term is divided by 5. 1.6 is my guess.
 Bodies-in-space/247861: A cube ABCDEFGH has edges of length 4. If the faces of the cube are "missing", but the egdes are solid lines(forming a cubical frame), what is the radius of the largest sphere that just fits inside the cubical frame.(touching each of the twelve edges) Many Regards, Krish Desai1 solutions Answer 180728 by Alan3354(30993)   on 2009-12-09 16:51:59 (Show Source): You can put this solution on YOUR website!A cube ABCDEFGH has edges of length 4. If the faces of the cube are "missing", but the egdes are solid lines(forming a cubical frame), what is the radius of the largest sphere that just fits inside the cubical frame.(touching each of the twelve edges) ------------------ The diameter of the sphere is the diagonal across the square, = 4sqrt(2) The radius = 2sqrt(2) -------------- It's the same as a circle containing a square of sides = 4.
 expressions/247884: How do I create a binomial from x^2+50x?1 solutions Answer 180726 by Alan3354(30993)   on 2009-12-09 16:47:09 (Show Source): You can put this solution on YOUR website!It is a binomial. It has 2 terms.
 Polygons/247755: Find the area of a regular hexagon with the given measurement 4 inches for that answer I got 25 square root of 3 the area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. find the length of a side of the regular hexagon/ I got 2 and the square root of 4 F1 solutions Answer 180722 by Alan3354(30993)   on 2009-12-09 16:39:48 (Show Source): You can put this solution on YOUR website!Find the area of a regular hexagon with the given measurement 4 inches for that answer I got 25 square root of 3 For any regular polygon with n sides of length s: Area = (ns^2/4)*cot(180/n) = 6*16*cot(30)/4 = 24*sqrt(3) ------------- the area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. find the length of a side of the regular hexagon/ I got 2 and the square root of 4 Area of the triangle = (3*144/4)*cot(60) Area = 108*cot(60) Area = 36*sqrt(3) ------------------ 36*sqrt(3) = (6s^2/4)*cot(30) = (3s^2/2)*sqrt(3) 3s^2 = 72 x = 2sqrt(6)
 Triangles/247756: How do I calculate side BC of an Isosceles triangle when the two equal sides AB and AC are 12 and angle A [BAC] is 130°?? Thank you for any help Jasmine1 solutions Answer 180711 by Alan3354(30993)   on 2009-12-09 16:13:59 (Show Source): You can put this solution on YOUR website!How do I calculate side BC of an Isosceles triangle when the two equal sides AB and AC are 12 and angle A [BAC] is 130°?? ----------------- You can use the Law of Sines: a/sin(A) = b/sin(B) Angles B and C are 25 degs (since it's an isosceles) a = 12*sin(130)/sin(25) a =~ 21.75 ---------------------- You can also drop an altitude from A. Then a/2 = 12*sin(65) a = 24*sin(65) a =~ 21.75 (again, it's monotonous)
 Quadratic_Equations/247757: f(x)=7x squared what is the vertex and line symmetry1 solutions Answer 180705 by Alan3354(30993)   on 2009-12-09 16:08:04 (Show Source): You can put this solution on YOUR website!f(x) = 7x^2 a = 7 b = 0 c = 0 ----- The vertex is at x = -b/2a = 0 f(0) = 0 --> vertex at (0,0) The line of symmetry is the y-axis.
 Sequences-and-series/247860: There is a legend that the inventor of chess chose the follwing as his reward. One grain of wheat on the first square, two grains on the second square, four on the third, eight on the fourth, and so on for all sixty-four squares on the chess board. Find an expression for the amount of wheat required to fulfill his request. So I know:a=1 r=2 tn=64 Have I done something wrong? I don't understand how this one works.1 solutions Answer 180702 by Alan3354(30993)   on 2009-12-09 16:05:26 (Show Source): You can put this solution on YOUR website!The sum is 2^64-1 ----------------- =~ 1.84467E19 You can get all the digits using the calculator on Windows.
Travel_Word_Problems/247832: HUMPTY DUMPY JUMPED OFF A WALL. THE EQUAION h(t)=-16t^2+13t+8 DESCRIBES HIS HEIGHT ABOVE THE GROUND WHEN t REPRESENT THE NUMBER OF SECONDS SINCE HE JUMPED. USE THE TRACE FEATURE TO ESTIMATE THE NUMBER OF SECONDS THAT ELAPSED FROM THE TIME HE JUMPED UNTIL HE HIT THE GROUND. ROUND YOUR THE ANSWER OF TENTHS.
1 solutions

Answer 180695 by Alan3354(30993)   on 2009-12-09 15:51:42 (Show Source):
You can put this solution on YOUR website!
h(t)=-16t^2+13t+8
When he hits the ground, h = 0
-16t^2 + 13t + 8 = 0
 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=681 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -0.409249271918743, 1.22174927191874. Here's your graph:

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t =~ 1.22 seconds
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I don't know what the "trace feature" is.

 Graphs/247855: is this parallel or perpendicular? y = 3x – 1, y = –x + 21 solutions Answer 180691 by Alan3354(30993)   on 2009-12-09 15:46:11 (Show Source): You can put this solution on YOUR website!No. They're neither. The slope of the 1st is +3 The slope of the 2nd is -1 -------------- Parallel lines have the same slope. Perpendicular lines have negative inverse slopes.
 Bodies-in-space/247853: ABCDEFGH has the edges of length 4. If the faces of the cube are solid squares, what is the radius of the largest sphere that just fits inside? Workings please, Many Regards, Krish Desai1 solutions Answer 180688 by Alan3354(30993)   on 2009-12-09 15:43:48 (Show Source): You can put this solution on YOUR website!ABCDEFGH has the edges of length 4. If the faces of the cube are solid squares, what is the radius of the largest sphere that just fits inside? ---------------- The distance from face to opposite face is 4, so the radius is 2.
 Linear-equations/247823: Please help with the following equation: Write an equation of the line containing the specified point and parallel to the indicated line (3,-4), 5x-6y=4 I think I need to plug the points 3 and -4 in for x and y and solve but I am confused how to remove them both from the same side of the equation. Thank you for any help!1 solutions Answer 180678 by Alan3354(30993)   on 2009-12-09 15:16:22 (Show Source): You can put this solution on YOUR website!Write an equation of the line containing the specified point and parallel to the indicated line (3,-4), 5x-6y=4 ----------------- First, find the slope, m, of the line. To do that, put it into slope-intercept form y = mx + b. That means solve for y. 5x-6y=4 y = (5/6)x + something, doesn't matter. The slope is 5/6 All lines parallel to it have the same slope. ----------------- Use y = mx + b and the point to find b: -4 = (5/6)*3 + b b = -13/2 --> y = (5/6)x - 13/2 is parallel and thru the point.
Quadratic_Equations/247824: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state.
3x^2 + x - 3 = 0
1 solutions

Answer 180661 by Alan3354(30993)   on 2009-12-09 14:20:19 (Show Source):
You can put this solution on YOUR website!
3x^2 + x - 3 = 0
-----------
 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=37 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.847127088383037, -1.18046042171637. Here's your graph:

 Linear-systems/247829: y=3x+4 y=2x+7 I dont know how to solve when variable on same side??1 solutions Answer 180658 by Alan3354(30993)   on 2009-12-09 14:14:53 (Show Source): You can put this solution on YOUR website!y=3x+4 y=2x+7 I dont know how to solve when variable on same side?? ---------- Since they both equal y, the equal each other. 3x+4 = 2x+7 x = 3 ------ y = 13