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# Recent problems solved by 'ewatrrr'

ewatrrr answered: 10675 problems
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 Polynomials-and-rational-expressions/478831: Hello. My question is determine whether x-1 or x+1 is a factor of . I know this includes polynomial division, and I assume it has to do something about how x^100 is raised to an even root. Thanks in advance1 solutions Answer 328091 by ewatrrr(10682)   on 2011-08-07 12:30:32 (Show Source): You can put this solution on YOUR website! ``` Hi, is (x-1) or (x+1) a factor of x^100 -4x^99 = 3 That is: does x = 1 or x = -1 satisfy: x^100-4x^99 - 3 = 0 1 - 4 - 3 ≠ 0 and 1 + 4 -3 ≠ 0 Neither are factors ```
 Quadratic_Equations/478804: Consider f(x)=x^2+99x+18. find the value of x so that f(2x)=2f(x).1 solutions Answer 328088 by ewatrrr(10682)   on 2011-08-07 12:21:50 (Show Source): You can put this solution on YOUR website! ``` Hi, finding the value of x so that f(2x)=2f(x). f(x)=x^2+99x+18 (2x)^2 + 99(2x) + 18 = 2x^2 + 198x + 36 4x^2 + 198x + 18 = 2x^2 + 198x + 36 2x^2 - 18 = 0 x^2 = 9 x = ± 3 ```
 decimal-numbers/478800: i am more than 15 but less than 30. when i add my digits, i get 10. i am not 19. what number am 1?1 solutions Answer 328083 by ewatrrr(10682)   on 2011-08-07 12:14:20 (Show Source): You can put this solution on YOUR website! ``` Hi, i am more than 15 but less than 30. sum of the age digits = 10 Age of 28 would satisfy all conditions ```
 Volume/478822: when the volume (cubic inches)is known, how can you determine the circumference of a sphere?1 solutions Answer 328080 by ewatrrr(10682)   on 2011-08-07 12:06:29 (Show Source): You can put this solution on YOUR website! ``` Hi, r = and C = 2pi*r ```
 Points-lines-and-rays/478821: For each of the following, write the equation of the line determined by the given pair of points. a. (2, -3) and (-1, 1) b. (-3, 0) and (3, 2) Thank you1 solutions Answer 328074 by ewatrrr(10682)   on 2011-08-07 11:50:55 (Show Source): You can put this solution on YOUR website! ``` Hi, write the equation of the line determined by the given pair of points. a. (2, -3) and (-1, 1) m = -4/3 |Using the point-slope formula, y = (-4/3)x + b | y = mx + b 1 = (4/3)+b, b = -1/3 |using Pt(-1,1) to solve for b. y = (-4/3)x-1/3 b. (-3, 0) and (3, 2) m = -2/-6 = 1/3 |Using the point-slope formula, y = (1/3)x + b | y = mx + b 0 = -1 + b, b= 1 |using Pt(-3,0) to solve for b y = (1/3)x + 1 ```
 Length-and-distance/478812: what are the coordinates of the (-2,4) under a 90 degree clockwise rotation around the origin?1 solutions Answer 328072 by ewatrrr(10682)   on 2011-08-07 11:42:18 (Show Source): You can put this solution on YOUR website! ``` Hi, coordinates of Pt(-2,4) under a 90 degree clockwise rotation around the origin? Pt(4,2) ```
 Rectangles/478696: The length of a rectangle is 4cm more than the width. If the perimeter is 4cm more than three times the length, what is the width?1 solutions Answer 328070 by ewatrrr(10682)   on 2011-08-07 11:36:09 (Show Source): You can put this solution on YOUR website! ``` Hi, The length of a rectangle is 4cm more than the width Let x and (x+4cm) represent the width and length respectively Question states*** P= 2(x+ 4cm) + 2x = 3(x+4cm) + 4cm x = 8cm, the width CHECKING our Answer*** length is 12cm (8cm+4cm) 2*12cm + 2*8cm = 40cm = 3*12cm + 4cm = 40cm ```
 Rectangles/478814: The length of a rectangle is 13 more than it's width. The perimeter measures 90 cm. What is the width of the rectangle? (I must also draw a setup.)1 solutions Answer 328068 by ewatrrr(10682)   on 2011-08-07 11:29:55 (Show Source): You can put this solution on YOUR website! ``` Hi, length of a rectangle is 13 more than it's width Let x and (x+13cm) represent the width and length respectively 2(x+13cm) + 2x = 90cm 4x = 64cm x = 16cm, the width. CHECKING our Answer*** length is 29cm (16cm + 13cm) 2*29cm + 2*16cm = 58cm + 32cm = 90cm ```
 Circles/476658: Can someone please help me draw a venn diagram for my problem below. I am not good with diagrams. thanks. there are 4 regions in the venn diagram: only VHS 53 only DVD 103 both VHS and DVD 23 neither 6 i. Of those surveyed, how many watched only VHS tapes? 53 ii. Of those surveyed, how many watched only DVDs? 103 iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both? 156 iv. Of those surveyed, how many watched VHS tapes or DVDs, or both? 1791 solutions Answer 328067 by ewatrrr(10682)   on 2011-08-07 11:23:46 (Show Source): You can put this solution on YOUR website! ``` Hi, only VHS 53 only DVD 103 both VHS and DVD 23 neither 6 ```
 Circles/478813: My question is: Find the standard form of the equation for a circle with center (3, − 1) and solution point (−5, 1) . Can you please explain how to solve it for future reference :). Thank You1 solutions Answer 328065 by ewatrrr(10682)   on 2011-08-07 11:12:44 (Show Source): You can put this solution on YOUR website! ``` Hi, circle with center (3,-1)and solution point (-5,1) r is the distance from the Center(3,-1) to the point on the circle (-5,1) D = = Conics in general: Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center and a and b are the respective vertices distances from center. Standard Form of an Equation of an Hyperbola opening right and left is: where Pt(h,k) is a center with vertices 'a' units right and left of center. Standard Form of an Equation of an Hyperbola opening up and down is: where Pt(h,k) is a center with vertices 'b' units up and down from center. the vertex form of a parabola opening up or down, where(h,k) is the vertex. The standard form is , where the focus is (h,k + p) the vertex form of a parabola opening right or left, where(h,k) is the vertex. The standard form is , where the focus is (h +p,k ) ```
 test/478600: The volume of a cylindrical can is 2512. Inches cubed. If the diameter is 8 inches, find the height using pi. 1 solutions Answer 327926 by ewatrrr(10682)   on 2011-08-06 16:26:05 (Show Source): You can put this solution on YOUR website! ``` Hi, V = 2512in^3 = pi*800in^3 and r = 4in (diameter = 8in) = h 50in = h ```
 test/478604: Find the surface area of the cylinder with height 8 m and raided 5.6 m. Use pi. 1 solutions Answer 327924 by ewatrrr(10682)   on 2011-08-06 16:13:03 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the surface area of the cylinder with height 8 m and radius 5.6 m. Use pi. S = = pi*103.12m^2 ```
 test/478613: okay, so I need help with these 3 problems. 1.) 2ab over 6a = a. 3 over b b. 1 over 3b c. b over 3 d. 3 over ab e. a over b 2.) if y = 1 over 4, then 15 over y = a.1 over 60 b.1 over 5 c.5 d.60 e.30 3.) the price of a jacket was increased from \$140 to \$168. What was the percent increase in the price of the jacket? a.10% b.20% c.30% d.40% e.16.7% thanks so much for your help.1 solutions Answer 327923 by ewatrrr(10682)   on 2011-08-06 15:59:58 (Show Source): You can put this solution on YOUR website! ``` Hi, 2ab/6a = b/3 y = 1/4, then 15/y = = 60 price of a jacket was increased from \$140 to \$168: marked up \$28 28/140 = .20 OR 20% increase ```
 Geometry_Word_Problems/478610: A triangle has a perimeter of 394 centimeters. The sum of the smallest and medium sides is 98 cm more than the longest side. The difference of the longest side and shortest sides is 44 cm. find the lengths of the three sides1 solutions Answer 327922 by ewatrrr(10682)   on 2011-08-06 15:53:40 (Show Source): You can put this solution on YOUR website! ``` Hi, The sum of the smallest and medium sides is 98 cm more than the longest side The difference of the longest side and shortest sides is 44 cm Let (x + 44), (x),[(x+44) + 98 -x] represent long, short and medium side lengths respectively Question states*** (x+44) + x + 142 = 394cm 2x = 208 x = 104, dhort side, long side is 148 and medium is 142 104 + 142 + 148 = 394 ```
 Triangles/478608: the perimeter of equilateral triangle is 72 multiplied by square root of 3, so what is the length?1 solutions Answer 327920 by ewatrrr(10682)   on 2011-08-06 15:41:47 (Show Source): You can put this solution on YOUR website! ``` Hi, P = 72sqrt(3), length of each side is 72sqrt(3)/3 = 24sqrt(3) ```
 test/478606: Find the area of an equilateral triangle with side 12. 1 solutions Answer 327919 by ewatrrr(10682)   on 2011-08-06 15:39:15 (Show Source): You can put this solution on YOUR website! ``` Hi, equilateral triangle with side of 12. | Note: Altitude bisects the base h = sqrt(12^2 - 6^2) = sqrt(108) = 6sqrt(3) A = (1/2)b*h = (1/2)12*6sqrt(3) = 36sqrt(3) ```
 test/478607: Calculate the surface area of a rectanglular solid is 12 inches long, 11 inches wide, and 5 inches high. 1 solutions Answer 327917 by ewatrrr(10682)   on 2011-08-06 15:33:16 (Show Source): You can put this solution on YOUR website! ``` Hi, the surface area of a rectanglular solid is 12 inches long, 11 inches wide, and 5 inches high. Surface Area = 2*12"*11" + 2*12"*5" + 2*11*5" = 494in^2 ```
 Trigonometry-basics/478559: Graph y=2^x and y=2^-x on a single set of axes. How are the graphs related?1 solutions Answer 327915 by ewatrrr(10682)   on 2011-08-06 15:29:02 (Show Source): You can put this solution on YOUR website! ``` Hi, The y-axis is the line of symmetry for these graphs ```
 Trigonometry-basics/478560: Determine whether the graph of x2-xy=4 has symmetry in: the x-axis, the y-axis, the line of y=x. and the origin 1 solutions Answer 327914 by ewatrrr(10682)   on 2011-08-06 15:26:03 (Show Source): You can put this solution on YOUR website! ``` Hi, The origin is the point of symmetry ```
 test/478594: Find the circumference, in inches, of a circle with a diameter of 6.9 inches. Round to the nearest whole inch. 1 solutions Answer 327913 by ewatrrr(10682)   on 2011-08-06 15:22:14 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the circumference, in inches, of a circle with a diameter of 6.9 inches. (Rounded to the nearest whole inch) ```
 test/478596: What is the best classification for a triangle with sides 4, 6, and 5? A.) equilateral B.) isosceles C.) right D.) scalene 1 solutions Answer 327912 by ewatrrr(10682)   on 2011-08-06 15:19:26 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the best classification for a triangle with sides 4, 6, and 5? A.) equilateral NO B.) isosceles NO C.) right NO (16+25 ≠ 36) D.) scalene YES ```
 Circles/478563: If the endpoints of a circle's diameter are (6, 2) and (0, –6), what is the area of the circle? 1 solutions Answer 327911 by ewatrrr(10682)   on 2011-08-06 15:16:50 (Show Source): You can put this solution on YOUR website! ``` Hi, the endpoints of a circle's diameter are (6, 2) and (0, –6) D = sqrt(36+64) = 10, the diameter. r = 5 A = Note: D = ```
 Sequences-and-series/478243: The table shows population estimates for Texas from 2003-2006 from U.S.Census Bureau. Year 2003 2004 2005 2006 Population 22.12 22.49 22.86 23.41 in millions a) Divide the population for each year by the population in the preceding year. Round to 2 decimal places & show that TX has population increase that is approximately geometric. b)Write the general term of the geometric sequence modeling Texas's population,in millions,n years after 2002. c) Use model from part b) to project TX population, in millions, for year 2010 Round 2 decimal places. Can someone please help? Math 192 is so hard for me to grasp.1 solutions Answer 327691 by ewatrrr(10682)   on 2011-08-05 14:11:11 (Show Source): You can put this solution on YOUR website! ``` Hi, {22.12, 22.49, 22.86, 23.41,...} Geometric with = 22.12 and r = 1.02 |2010 would be the 8th term ```
 Rational-functions/478267: how do you find the vertex, axis of symmetry, and direction of the opening of the parabola 1. y^2=-8x 2. (y-8)^2=-4(x-4)1 solutions Answer 327686 by ewatrrr(10682)   on 2011-08-05 13:58:33 (Show Source): You can put this solution on YOUR website! ``` Hi, find the vertex, axis of symmetry, and direction of the opening of the parabola Putting into vertex form the vertex form of a parabola opening right or left, where(h,k) is the vertex. 1. y^2=-8x (-1/8)y^2 = x Vertex (0,0), a = (-1/8)<0 opens to the left along x-axis 2. (y-8)^2=-4(x-4) (1/4)(y-8)^2 +4 = x Vertex(4,8) a = (-1/4) opens left along y = 8 ```
 Radicals/478271: Please, help me with this problem: √75 +√2431 solutions Answer 327682 by ewatrrr(10682)   on 2011-08-05 13:44:43 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Miscellaneous_Word_Problems/478264: best buy recently charged \$17.99 per box of pens and \$7.49 per box for pencils. If Hag High School purchased 120 such boxes for a total of \$1234.80 how many boxes of each type did they purchase?1 solutions Answer 327679 by ewatrrr(10682)   on 2011-08-05 13:41:52 (Show Source): You can put this solution on YOUR website! ``` Hi, purchased 120 such boxes Let x and (120 -x) represent the number of boxes of pens and pencils respectively Question states*** 17.99x + 7.49(120-x) = 1234.80 10.50x = 1234.80 - 7.49*120 10.5x = 336 x = 32 boxes of pens and 88 boxes of pencils (120-32) CHECKING our Answer*** 32*\$17.99 + 88*\$7.49 = \$575.68 + \$659.12 = \$1234.80 ```
 Evaluation_Word_Problems/478266: Please Can you help me !!!!! Write each equation in standard form. State whether the graph of the equation is a parabola, circle,ellipse, or hyperbola. y=x^2+3x+1 Write the equation in standard form. State whether the graph of the equation is a parabola, circle,ellipse, or hyperbola. x^2+4y^2+2x-24y+33=01 solutions Answer 327677 by ewatrrr(10682)   on 2011-08-05 13:30:29 (Show Source): You can put this solution on YOUR website! ``` Hi, Write each equation in standard form. State whether the graph of the equation is a parabola, circle,ellipse, or hyperbola. y = x^2 + 3x + 1 y = (x+3/2)^2 -9/4 + 1 = y = (x+3/2)^2 -5/4 |Parabola opening upward with Vertex (-3/2,-5/4) standard form is , (x-3)^2 = y + 5/4 x^2+4y^2+2x-24y+33=0 (x+1)^2 - 1 + 4(y-3)^2 - 36 + 33 = 0 (x+1)^2 + 4(y-3)^2 = 4 (x+1)^2/4 + (y-3)^2 = 1 |Ellipse, C(-1,3) major axis along y = 3 Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center and a and b are the respective vertices distances from center. Standard Form of an Equation of an Hyperbola opening right and left is: where Pt(h,k) is a center with vertices 'a' units right and left of center. Standard Form of an Equation of an Hyperbola opening up and down is: where Pt(h,k) is a center with vertices 'b' units up and down from center. the vertex form of a parabola opening up or down, where(h,k) is the vertex.The standard form is , where the focus is (h,k + p) the vertex form of a parabola opening right or left, where(h,k) is the vertex.The standard form is , where the focus is (h +p,k ) ```
 Graphs/478252: 3r-8s=-55 8r+3s=48 How do you do elimination?1 solutions Answer 327675 by ewatrrr(10682)   on 2011-08-05 13:12:19 (Show Source): You can put this solution on YOUR website! ``` Hi, solving by elimination 3r-8s=-55 8r+3s=48 3r -8s=-55 (64/3)r +8s=48*8/3 = 128 |multiplying the 2nd EQ thru by (8/3) to eliminate r (73/3)r = 73 r = 3 and s = 8 CHECKING our Answer 3r-8s=-55 9 - 64 = -55 ```
 Evaluation_Word_Problems/478250: PLEASE HELP ME !!!!! Contagious disease can spread very quickly. Suppose five people are ill during the first week of an epidemic and that each person who is ill spreads the disease to four people by the end of the next week. By the end of the tenth week of the epidemic, how many people have been affected by the illness?1 solutions Answer 327670 by ewatrrr(10682)   on 2011-08-05 13:00:37 (Show Source): You can put this solution on YOUR website! ``` Hi, 5 ill week 1, each spreading to 4 people by the end of the next week... By the end of the tenth week of the epidemic, how many people have been affected by the illness? {5,20,80,320,...} Geometric sequence r = 4 = a(1-r^n)/(1-r)= 5(1-4^10)/(1-4) = 1,747,625 ```
 Probability-and-statistics/477928: A coin is tossed 4 times. What is the probability of getting HTTH in that order?1 solutions Answer 327503 by ewatrrr(10682)   on 2011-08-04 15:45:37 (Show Source): You can put this solution on YOUR website! ``` Hi, coin is tossed 4 times P(getting HTTH in that order) = (1/2)^4 ```
 test/477917: Find the exact volume of a cone that has a slant height of 26 inches and a radius of 24 inches 1 solutions Answer 327501 by ewatrrr(10682)   on 2011-08-04 15:38:47 (Show Source): You can put this solution on YOUR website! ``` Hi, slant height of 26 inches and a radius of 24 inches 26^2 = 24^2 + h^2 h^2 = 26^2 - 24^2 = 100, h = 10 V = in^3 ```