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# Recent problems solved by 'ewatrrr'

ewatrrr answered: 10675 problems
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 test/621737: Use the quadratic formula to solve the equation. 3y^2 + 9y= -61 solutions Answer 390914 by ewatrrr(10682)   on 2012-06-18 13:16:18 (Show Source): You can put this solution on YOUR website! ``` Hi, y = -2 or y = -1 CHECKING our Answer*** by factoring (y+2)(y+1) = 0 y = -2 or y = -1 ```
 Graphs/621736: y=1/4X and x=-12 can i get help solving this and understand how to solver more questions like this?1 solutions Answer 390913 by ewatrrr(10682)   on 2012-06-18 13:12:17 (Show Source): You can put this solution on YOUR website! ``` Hi, y = (1/4)x (Green) and x = -12 (Blue) ||solving this System substituting x = -12 y = = -3 Ordered pair (-12,-3) the solution for this System of EQ ```
 Systems-of-equations/621731: Please help me with this equation: 7= -12/x - 1/x^21 solutions Answer 390912 by ewatrrr(10682)   on 2012-06-18 13:07:39 (Show Source): You can put this solution on YOUR website! ``` Hi, Using Common Denominator.. |||Multiplying thru by x^2 so as all denominators = 1 7x^2 = -12x - 1 7x^2 + 12x + 1 = 0 x = -0.0878 or x = -1.6265 ```
 Equations/621729: If 2x – 9 = 4x + 7, then what does x equal?1 solutions Answer 390911 by ewatrrr(10682)   on 2012-06-18 12:58:46 (Show Source): You can put this solution on YOUR website! ``` Hi, Combining Like Terms: ||subtracting 2x and 7 from both sides of = sign -16 = 2x -8 = x ```
 test/621730: What is 4 taken to the power of 3/21 solutions Answer 390909 by ewatrrr(10682)   on 2012-06-18 12:54:40 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Polynomials-and-rational-expressions/621727: Find all zeros of the function and write the polynomial as a product of linear factors. f(x)=x^4+13x^2+36 Mult choice answers: A) f(x)=(x+i)(x-i)(x+6i(x-6i) B) f(x)=(x+2i)^2(x+3i)^2 C) f(x)=(x+2+3i)^2(x+2-3i)^2 D) f(x)=(x+2i)(x-2i)(x+3i)(x-3i)1 solutions Answer 390908 by ewatrrr(10682)   on 2012-06-18 12:53:07 (Show Source): You can put this solution on YOUR website!``` Hi, f(x)=x^4+13x^2+36 || Let X = x^2 f(X) = X^2 + 13X + 36 X = -9 or X = -4 x^2 = -9 x = ± 3i x^2 = -4 x = ± 2i D) f(x)=(x+2i)(x-2i)(x+3i)(x-3i) ```
 Polynomials-and-rational-expressions/621616: I have two problems that I cannot seem to make sense of: multiply/simplify 6x^2+2x-4/4x^2-1 * 4x^2+4x+1/6x^2+29x-22 AND find LCD then subtract and simplify x-1/x^2-1x-6 minus x-1/x^2-41 solutions Answer 390905 by ewatrrr(10682)   on 2012-06-18 12:46:21 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Square-cubic-other-roots/621717: perform and simplify completely. ^2 would the correct answer be 6+ 3sqrt(9)1 solutions Answer 390896 by ewatrrr(10682)   on 2012-06-18 12:27:55 (Show Source): You can put this solution on YOUR website! ``` Hi, ^2 F First terms 6 O Outside terms I Inside terms L Last terms 27 ^2 = 33 + 18sqrt(2) ```
 Equations/621707: Determine whether each pair of equations represents perpendicular lines. y=5-3x, 3x-y=8 Thank you, Janice1 solutions Answer 390884 by ewatrrr(10682)   on 2012-06-18 12:04:21 (Show Source): You can put this solution on YOUR website! ``` Hi, Determine whether each pair of equations represents perpendicular lines. y=5-3x, 3x-y=8 y = mx + b y = -3x + 5 m = -3 & y = 3x - 8 m = 3 NO, this pair of equations do not represent perpendicular lines ```
 Triangles/621711: http://media.apexlearning.com/Images/200703/28/1248dd41-7b9c-438f-91f5-ffca7400a232.gif What is the value of y?1 solutions Answer 390882 by ewatrrr(10682)   on 2012-06-18 11:59:07 (Show Source): You can put this solution on YOUR website! ``` Hi, 56° + (y+12°) + y = 180° 2y + 68° = 180° 2y = 112° y = 56° CHECKING our Answer*** 56° + 68° + 56° = 180° ```
 Triangles/621688: A 15-foot ladder is leaning against a 30-foot wall. The bottom end of the ladder is 9 feet from the wall. How many feet above the ground does the ladder touch the wall? 1 solutions Answer 390879 by ewatrrr(10682)   on 2012-06-18 11:52:21 (Show Source): You can put this solution on YOUR website! ``` Hi, A 15-foot ladder is leaning against a 30-foot wall. The bottom end of the ladder is 9 feet from the wall. Applying the Pythagorean Theorem: 12 feet above the ground the ladder touches the wall ```
 Equations/621705: 1 solutions Answer 390874 by ewatrrr(10682)   on 2012-06-18 11:41:39 (Show Source): You can put this solution on YOUR website! ``` Hi, x(x-1) - 3(x-2) = 2(x-1)(x-2)= 2(x^2 - 3x + 2) x^2 - x - 3x + 6 = 2x^2 -6x + 4 x^2 -2x -2 = 0 ```
 Radicals/621703: 1 solutions Answer 390866 by ewatrrr(10682)   on 2012-06-18 11:22:01 (Show Source): You can put this solution on YOUR website! ``` Hi, || isolating the Radical on one side of the EQ || Squaring both sides of EQ (x-2) = 1 x = 3 ```
 Complex_Numbers/621701: 1 solutions Answer 390864 by ewatrrr(10682)   on 2012-06-18 11:19:37 (Show Source): You can put this solution on YOUR website! ``` Hi, ||Rationalizing the denominator using the conjugate = = ```
 Probability-and-statistics/621692: You have 12 black and 6 blue socks in a draw. The lights stop working and you pick out 2 socks in the dark,What is the probability you get a pair the same colour? a.30/306 b.102/306 c. 132/306 d. 162/306 e. None of the above What im really asking is the way to get to the final result. Thanks in advance1 solutions Answer 390861 by ewatrrr(10682)   on 2012-06-18 11:12:21 (Show Source): You can put this solution on YOUR website! ``` Hi, You have 12 black and 6 blue socks in a draw. Total pick out 2 socks in the dark. What is the probability you get a pair the same colour? P(2 black 'or' 2 blue) = ```
 Exponents/621690: (9a/2b)+6=4a solve for A1 solutions Answer 390859 by ewatrrr(10682)   on 2012-06-18 11:03:24 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Graphs/621643: Could you pls check my answer, Solve for z:|6z+30|= 48 My solution: z = 3 or z = -13 Thanks.1 solutions Answer 390858 by ewatrrr(10682)   on 2012-06-18 10:38:26 (Show Source): You can put this solution on YOUR website!Previously submitted
 Graphs/621652: Solve the systems of linear equations using graph paper y = x - 2 x = 21 solutions Answer 390857 by ewatrrr(10682)   on 2012-06-18 10:35:19 (Show Source): You can put this solution on YOUR website! ``` Hi, x = 2 || Note Vertical line at x = 2 y = x - 2 Finding the y-intercept (, _) y = -2 = -2 y = -2 || the y-intercept (, -2) Finding the x-intercept ( _, ) = x - 2 x = 2 || the x-intercept is (2 , ) Plot (0,-2) and (2,0) and connect with a Line Lines Intersect at (2,0), the ordered pair that is the solution for this System of EQs ```
 Percentage-and-ratio-word-problems/621664: The number of people at a party is given as 180, correct to the nearest 20. What's the lowest and highest possible number of people at the party?1 solutions Answer 390855 by ewatrrr(10682)   on 2012-06-18 10:26:26 (Show Source): You can put this solution on YOUR website! ``` Hi, The number of people at a party is given as 180, correct to the nearest 20. What's the lowest and highest possible numberof people at the party? 160 < < 200 ```
 Equations/621682: Write an algebraic equation for the following: The quotient of 3 and 8 is the same as t plus 5. 1 solutions Answer 390854 by ewatrrr(10682)   on 2012-06-18 10:23:16 (Show Source): You can put this solution on YOUR website! ``` Hi, The quotient of 3 and 8 is the same as t plus 5. ```
 Word_Problems_With_Coins/621679: she has 6 more pennies than nickels. She has the same number of nickels as dimes. 1.)what coin does she hav the most of? 2.) let n=the number of nickels she has. Represent the number of pennies in terms of n. 3.) represent the number of dimes in terms of n.1 solutions Answer 390853 by ewatrrr(10682)   on 2012-06-18 10:13:19 (Show Source): You can put this solution on YOUR website! ``` Hi, she has 6 more pennies thannumber of nickels. She has the same number of nickels as dimes. 2.) let n=the number of nickels she has. Represent the number of pennies in terms of n. + 6 3.) represent the number of dimes in terms of n. dimes 1.)what coin does she have the most of? pennies ```
 Graphs/621680: x-y=3 x+y=5 let,x=0 x-y=3 y=3 (0,3) let,y=0 x+y=5 x =5 (5,0) 1 solutions Answer 390850 by ewatrrr(10682)   on 2012-06-18 10:00:42 (Show Source): You can put this solution on YOUR website! ``` Hi, x-y = 3 Careful..(0,) on this Line,and also (3,0) Plot, Connect (Blue) x+y = 5 Yes, (5,0) on this Line and also (0,5) Plot , Connnect (Green) Lines Intersect at (4,1), the ordered pair that is the solution for this System of EQs ```
 Numeric_Fractions/621678: I am having trouble collecting like terms x-9x1 solutions Answer 390849 by ewatrrr(10682)   on 2012-06-18 09:49:46 (Show Source): You can put this solution on YOUR website! ``` Hi, For example: collecting Like terms: 1-9 or 1 + (-9) on a number Line... Starting at 1 and going 9 units to the, one is on Likewise: when collecting Like Terms ```
 Quadratic_Equations/621675: In the box, complete the first 4 steps for graphing the quadratic function given. (Use ^ on the keyboard to indicate an exponent.) Then print a sheet of graph paper and graph the quadratic function to turn in to your teacher. Be sure to label the axes and vertex. y= -x^2 - 4x - 3 --Thanks!(:1 solutions Answer 390847 by ewatrrr(10682)   on 2012-06-18 09:25:22 (Show Source): You can put this solution on YOUR website! ``` Hi, y= -x^2 - 4x - 3 Completing Square to put into Vertex Form y = -(x+2)^2 + 4 - 3 y = -(x+2)^2 + 1 ||Parabola opens downward (-1 <0) along x = -2 , V(-2,1 See below descriptions of various conics 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. (a positioned to correspond with major axis) a and b are the respective vertices distances from center and ±are the foci distances from center: a > b 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 and foci units right and left of center along y = k 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, and foci units units up and down from center, along x = h the vertex form of a Parabola opening up(a>0) or down(a<0), 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(a>0) or left(a<0), where(h,k) is the vertex. The standard form is , where the focus is (h +p,k ) ```
 Graphs/621670: What is the graph of f(x)=1/3(x-4)^2-11 solutions Answer 390846 by ewatrrr(10682)   on 2012-06-18 09:16:28 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the graph of f(x)=1/3(x-4)^2-1 Parabola Opening up along x = 4, V(4,-1) See below descriptions of various conics 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. (a positioned to correspond with major axis) a and b are the respective vertices distances from center and ±are the foci distances from center: a > b 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 and foci units right and left of center along y = k 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, and foci units units up and down from center, along x = h the vertex form of a Parabola opening up(a>0) or down(a<0), 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(a>0) or left(a<0), where(h,k) is the vertex. The standard form is , where the focus is (h +p,k ) ```
 Probability-and-statistics/621671: If I have 4 frames and put them in a line how many different arrangements can I make?1 solutions Answer 390845 by ewatrrr(10682)   on 2012-06-18 09:04:14 (Show Source): You can put this solution on YOUR website! ``` Hi, If I have 4 frames and put them in a line how many different arrangements can I make? = 4! = 24 ways ```
 Volume/621666: I have a tank that measures 30 feet wide x 30 feet long x 21 feet deep. I need to fill it with water to 80 perecent of it's capacity. How many inches below the top of the tank do I fill it to? Thank you, Joe Ducote1 solutions Answer 390844 by ewatrrr(10682)   on 2012-06-18 09:01:43 (Show Source): You can put this solution on YOUR website! ``` Hi, tank that measures 30 feet wide x 30 feet long x 21 feet deep. V = 900*21ft = 18,900 and 900*(.80*21) = 900* 16.8ft = 15,120 21 - 16.8 = 4.2ft = 48in + 2.4in = 50.4 inches below the top of the tank ```
 Graphs/621668: Could you pls check my answer? Solve for z: |6z+30|= 48 My solution: z = 3 or z = -13 Thanks. 1 solutions Answer 390842 by ewatrrr(10682)   on 2012-06-18 08:49:57 (Show Source): You can put this solution on YOUR website! ``` Hi, |6z+30|= 48 6z+30 = 48 z = 3 6z+30= -48 z = -13 Your solution: z = 3 or z = -13, Yes! Good work. ```
 Graphs/621622: Would you pls help me with this; Solve using quadratic formula: 6x^2 + 7x - 11 = 0 I started like this: x= {-7+-sqrt(7^2-4*66)}/ 12 Thanks1 solutions Answer 390841 by ewatrrr(10682)   on 2012-06-18 08:47:02 (Show Source): You can put this solution on YOUR website! ``` Hi, Solve using quadratic formula: 6x^2 + 7x - 11 = 0 || Yes. Good Work. Keep going... Leave in this format or use your calculator ```
 Probability-and-statistics/621473: 3. Five English books and three Mathematics books are placed at random on a shelf. Find the probability that Mathematics books are together? 1 solutions Answer 390771 by ewatrrr(10682)   on 2012-06-17 15:42:08 (Show Source): You can put this solution on YOUR website! ``` Hi, Five English books and three Mathematics books are placed at random on a shelf. Ways of doing this(using the 3 Math books as 1 unit) = 6! Find the probability that Mathematics books are together? ```
 Probability-and-statistics/621464: Interpret a 99% confidence interval of (5.355, 5.445) for a population mean. A nursing school wants to estimate the true mean annual income of its alumni. It randomly samples 200 of its alumni. The mean annual income was \$55,200 with a standard deviation of \$1,500. Find a 95% confidence interval for the true mean annual income of the nursing school alumni. Write a statement about the confidence level and the interval you find. An auditor wants to estimate what proportion of a bank's commercial loan files are incomplete. The auditor randomly samples 80 files and finds 12 are incomplete. Using a 95% confidence interval, estimate the true proportion of incomplete files for ALL the bank's commercial loans. Write a statement about the confidence level and the interval you find. 1 solutions Answer 390761 by ewatrrr(10682)   on 2012-06-17 14:35:28 (Show Source): You can put this solution on YOUR website! ``` Hi, 5.355< < 5.445 ||Note:(.445-.355)/2 = .045= ME 5.4 -.045< < 5.4 + .045 re: n = 200, m = 55200 and SD = 1500 Find a 95% confidence interval for the true mean annual income of the nursing school alumni. ME = 1.96(1500/sqrt(200))}}} = \$207.89 55200 - ME < < 55200 + ME ```