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# Recent problems solved by 'ewatrrr'

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 Length-and-distance/421929: Find the foci and vertices of the ellipse with equation x^2/9+y^2/16=11 solutions Answer 294556 by ewatrrr(10682)   on 2011-03-14 11:58:06 (Show Source): You can put this solution on YOUR website! ``` Hi Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center with a and b determining the respective vertices distances from center. x^2/9+y^2/16=1 Center(0,0) Vertices: (3,0),(-3,0) and (0,4),(0,4) foci distance from center along major axis: foci: (0,sqrt(7)),(0,-sqrt(7)) ```
 Exponents-negative-and-fractional/421895: I can't quite understand where I am going wrong. -32a^-15b^10/-52a^13b^-14 I had answered it as 8b^4/13a^2 Wouldn't you change the places of the original exponents to make them positive and then subtract since you are dividing? The correct answer is 8b^24/13a^28. I cannot seem to grasp this idea of the negative exponents. I know you have to change the places to make them psoitive and that is what I had done. But it was marked wrong. This is the topic that is holding me back. Thank You1 solutions Answer 294543 by ewatrrr(10682)   on 2011-03-14 10:05:16 (Show Source): You can put this solution on YOUR website! ``` Hi OK on your moving the 'a^-15' to the denominator to 'meet up' with the 'a^13' You are then in a position to multiply them by adding their exponents. | | | | ```
 Probability-and-statistics/421884: A survey of 1100 people in a certain city owns 860 microwave ovens 740 own DVD players and 590 own either a microwave oven AND a DVD player. a. how many people in the survey own either a microwave oven or a DVD player b. how many own neither a microwave oven nor a DVD player c. How many own a microwave oven and do not own a DVD player1 solutions Answer 294537 by ewatrrr(10682)   on 2011-03-14 09:24:02 (Show Source): You can put this solution on YOUR website! ``` Hi 1100 people ≥ 1 Both 1 Microwave 860 DVD Player 740 1600 -590 = 1010 a. how many own either a microwave oven or a DVD player: 1010 b. how many own neither a microwave oven nor a DVD player: 1100-1010 = 90 c. How many own a microwave oven and do not own a DVD player = 860-590= 270 ```
 Trigonometry-basics/421850: can you help me solve this fundamental identities....please.. 1.) cosēθ(tanē θ+1)=1 2.) secē θcotē=1+cotē θ 3.)Sin θ__ =cscθ-cot θ 1+cos θ 1 solutions Answer 294536 by ewatrrr(10682)   on 2011-03-14 09:07:30 (Show Source): You can put this solution on YOUR website! ``` Hi cosēθ(tanēθ+1)=1 | (tanēθ+1)= secθē = 1/cosēθ cosēθ/cosēθ = 1 1 = 1 secēθ cotē=1+cotēθ secēθcotē- cotēθ = 1 cotēθ(secēθ - 1) = 1 | secēθ - 1 = tanēθ cotēθtanēθ = 1 | tanēθ = 1/cotēθ cotēθ/cotēθ = 1 1 = 1 Sinθ/(1+cos θ) = cscθ-cot θ |cscθ = 1/sinθ and cotθ = cosθ/sinθ Sinθ/(1+cos θ) = (1-cosθ)/sinθ sinēθ = (1+cos θ)(1-cos θ) sinēθ = 1 - cosēθ sinēθ + cosēθ = 1 |pythagorean Identity ```
 Probability-and-statistics/420941: The table shows the political affiliation for a random sample of American voters and their positions on the death penalty. Favor Oppose Democrat 270 130 Republican 115 220 Other 40 85 ok so i figure i add them all favor 425 & oppose 435 a. Determine the probability that a randomly selected person favors the death penalty. is this correct thinking 435/425 ????? b. Determine the probability that a randomly selected person is a democrat given that they favor the death penalty. is this correct thinking 270/425 ??????? c. Determine the probability that a randomly selected person favors the death penalty given that they are a republican. is this correct thinking 115/425 ????? 1 solutions Answer 294007 by ewatrrr(10682)   on 2011-03-11 12:44:09 (Show Source): You can put this solution on YOUR website! ``` Hi, nice preentation Do like completing the table with Totals for more clarity: Favor Oppose Total Democrat 270 130 400 Republican 115 220 335 Other 40 85 125 total 425 435 860 a. P(a randomly selected person favors the death penalty) = 425/860 b. P(a randomly selected person is a democrat given that they favor the death penalty) 270/425 c.P(probability that a randomly selected person favors the death penalty given that they are a republican) 115/335 ```
 Average/420306: Factor the expression 20x^3y^2 + 28x^2y^41 solutions Answer 293738 by ewatrrr(10682)   on 2011-03-10 09:56:49 (Show Source): You can put this solution on YOUR website! ``` Hi Factor the expression 20x^3y^2 + 28x^2y^4 4x^2y^2(5x + 7y^2) ```
 Volume/420304: how much water can be stored in a tank that measures 5 inches long 5 inches wide and 6 inches high.1 solutions Answer 293737 by ewatrrr(10682)   on 2011-03-10 09:55:04 (Show Source): You can put this solution on YOUR website! ``` Hi Volume of tank = 5in * 5in * 6in = 150 in^3 of water (or about 2.6 quarts(US)) ```
 Linear_Equations_And_Systems_Word_Problems/420313: the perimetet of a rectangle is 50 meters. write a linear equation in 2 variables for this perimeter. use the equation to find x when y=201 solutions Answer 293736 by ewatrrr(10682)   on 2011-03-10 09:43:56 (Show Source): You can put this solution on YOUR website! ``` Hi using x and y to represent the lengths of the respective sides. 2x + 2y = 50m 2x + 2*20 = 50m 2x = 10m x = 5m ```
 Sequences-and-series/420255: write the first five terms of the sequence 1.an=n+3 2.an=3nsquared2 3.an=nsquared2+n-6 4.an=16-nsquared2 5.an-2n over2+71 solutions Answer 293733 by ewatrrr(10682)   on 2011-03-10 09:12:54 (Show Source): You can put this solution on YOUR website! ``` Hi write the first five terms of the sequence: substituting for n = 1 to 5 {4,5,6,7,8...} {3,12,27,48,75...} {8,11,16,23,32...} {15,12,7,0,-9,...} ```
 Sequences-and-series/420258: Algebra:Arithmetic Sequence "can you plz. help me on this problem what is the indicated term in each of the arithmetic sequence 1.3,7,11,....8th term 1 solutions Answer 293732 by ewatrrr(10682)   on 2011-03-10 08:59:52 (Show Source): You can put this solution on YOUR website! ``` Hi, taking the 1. as a typo: arithmetic sequence: {1,3,7,11,...} d = 4 {{a[n]=a[1]+(n-1)*d}}} {{a[8]= 1 +(7)*4 = 29}}} ```
 Sequences-and-series/420010: I've been trying this problem for a while now. Please help me find the sum of the geometric sequence where: a sub4=24 and a sub9= 768 and n=9. thank you1 solutions Answer 293731 by ewatrrr(10682)   on 2011-03-10 08:55:54 (Show Source): You can put this solution on YOUR website! ``` Hi geometric sequence 24/r^3 *r^8 = 768 r^5 = 32 r = 2 and ```
 Sequences-and-series/420260: the 2nd and 6th terms are 1 and 27.find (a)the first term (b)common difference (c)10th term 1 solutions Answer 293724 by ewatrrr(10682)   on 2011-03-10 08:27:03 (Show Source): You can put this solution on YOUR website! ``` Hi Arithmetic Series | (1-d) + 5d = 27 4d = 26 d = 26/4 = 13/2 CHECKING our Answer*** ```
 Probability-and-statistics/419831: Assist me with this difficult homework problem: 1. A survey of 51 pet owners revealed that 24 owned dogs, 28 owned cats, 11 owned turtles, 12 owned both dogs and cats, 7 owned both dogs and turtles, 3 owned both cats and turtles, and 2 owned all three. Find the number of pet owners who owned none of the three lovely animals. The answer is not 26.1 solutions Answer 293718 by ewatrrr(10682)   on 2011-03-10 07:49:27 (Show Source): You can put this solution on YOUR website! ``` Hi survey of 51 pet owners: results described in the chart below: Find the number of pet owners who owned none of the three lovely animals. >= 1 D&C D&T C&T 1 Dog 24 Cat 28 Turle 11 ALL 2 65 -12 -7 -3 = 43 51 - 43 = 8 own none ```
 Linear-systems/419775: The sum of two numbers is 25. Three times the smaller number is twice the larger number. Find the numbers.1 solutions Answer 293542 by ewatrrr(10682)   on 2011-03-09 16:58:35 (Show Source): You can put this solution on YOUR website! ``` Hi sum of two numbers is 25 Let x and (25-x) represent the smaller and larger respectively Question states*** 3x = 2(25-x) Solving for x 5x = 50 x = 10, the smaller number. 15 the larger (25-10)) CHECKING our Answer*** 30 = 2*15 ```
 Linear-systems/419776: The sum of two numbers is3. Four times the smaller, plus the larger, is -48. Find the numbers.1 solutions Answer 293541 by ewatrrr(10682)   on 2011-03-09 16:56:14 (Show Source): You can put this solution on YOUR website! ``` Hi sum of two numbers is 3 Let x and (3-x) represent the smaller and larger respectively Question states*** 4x + (3-x) = -48 Solving for x 3x = -51 x = -17, the smaller number. 20 the larger (3-(-17)) CHECKING our Answer*** -68 + 20 = -48 ```
 Linear-systems/419934: Solve the systems by graphing 3x-2y=-24 -3x-y=6 I put them in point slope for I think: y=3/2x + 12 y=-3x-6 Then created a T-chart x y 0 12 2 15 x y 0 -6 1 -9 Can you please help me? I do not understand why I am stuck....1 solutions Answer 293540 by ewatrrr(10682)   on 2011-03-09 16:51:56 (Show Source): You can put this solution on YOUR website! ``` Hi 3x-2y=-24 OR y= 3/2x + 12 (Green) x=0, then y= 12 y=0 then x =-8 (0,12)and(-8,0) -3x-y=6 OR y=-3x-6 (Blue) x=0, then y=-6 y=0 then x= -2 (0,-6) and (-2,0) Plotting points and connecting with Line Lines Intersect at ordered pair Pt(-4,6) This is the solution for this system ```
 Graphs/419648: Find the y-intercept and the x-intercept for the slope: y= -x^2+2x-21 solutions Answer 293539 by ewatrrr(10682)   on 2011-03-09 16:34:15 (Show Source): You can put this solution on YOUR website! ``` Hi y= -x^2+2x-2 |Note use of ^ for squared term y-intercept (when x = 0) Pt(0,-2) y= -(x-1)^2 -1 |completing the square Vertex Pt(1,-1) x-intercept (when y = 0) -(x-1)^2 -1 =0 (x-1)^2 = -1 NO real roots, Parabola does not cross the x-axis x = 1 ą sqrt(-1) ```
 Graphs/419649: Find the y-intercept and the x-intercept for the slope: y=-2x^2+4x+21 solutions Answer 293537 by ewatrrr(10682)   on 2011-03-09 16:28:27 (Show Source): You can put this solution on YOUR website! ``` Hi y = -2x^2+4x+2 |Note use of ^ for squared term y-intercept (when x = 0) Pt(0,2) y= -2(x-1)^2 + 4 |completing the square Vertex Pt(1,4) x-intercept (when y = 0) -2(x-1)^2 + 4 =0 (x-1)^2 = 2 x = 1 ą sqrt(2) Pt(2.414,0) and Pt(-.414,0) the x-intercepts ```
 Graphs/419906: I need help graphing 2x-3y=6 and using the x- and y- intercepts. I've already got y=-2/3+2 (negative 2 over 3 plus 2). After that, I'm stuck. please and thank you.1 solutions Answer 293527 by ewatrrr(10682)   on 2011-03-09 16:09:08 (Show Source): You can put this solution on YOUR website! ``` Hi graphing 2x-3y=6 OR y =(2/3)x -2 |when x=0, then y= -2 When y =0 then x = 3 Pts (0,-2) & (3,0) on the line Graph Points and connect with Line: Might recommend substituting any possible values for ordered pairs (x,y)that may be found...into 2x-3y = 6 to see if they would be correct ordered pairs ```
 Probability-and-statistics/419669: A standard deck of cards is made up of 4 suits with 13 cards in each suit. If we randomly sample five cards from a standard poker deck, find the probability that all five cards selected are clubs. 1 solutions Answer 293464 by ewatrrr(10682)   on 2011-03-09 11:10:14 (Show Source): You can put this solution on YOUR website! ``` Hi If we randomly sample five cards from a standard poker deck, find the probability that all five cards selected are clubs. without replacement: P (five being all clubs) = = 154,440/311,875,200 = .000495 with replacement: P (five being all clubs) = (1/4)^5 ```
 Probability-and-statistics/419763: a jar contains 7 green, 19 black and 13 pik marbles. A marble is drawn at random. What is the probability of it being a green or black?1 solutions Answer 293461 by ewatrrr(10682)   on 2011-03-09 10:53:52 (Show Source): You can put this solution on YOUR website! ``` Hi a jar contains 7 green, 19 black and 13 pink marbles. 39 marbles in ALL ONE marble is drawn at random. P(being a green 'or' black) = 7/39 + 19/39 = 26/39 ```
 Rational-functions/419385: Find the foci of the ellipse with the equation 18x^2+36y^2=648. Graph the ellipse.1 solutions Answer 293301 by ewatrrr(10682)   on 2011-03-08 16:42:53 (Show Source): You can put this solution on YOUR website! ``` Hi 18x^2+36y^2=648 18x^2/648 + 36y^2/648 = 1 x^2/36 + y^2/18 = 1 sqrt(36-18) = sqrt(18) = 3sqrt(2) foci are (3sqrt(2),0) and (-3sqrt(2),0) ```
 Probability-and-statistics/419386: IF A STUDENT GUESSES THE ANSWER TO A MULTIPLE CHOICE QUESTION (consisting of 5 possibile answers of which only one is correct) then the odds against the student answering the queastion correctly is.........; and the odds in favor are.......? my working: 4:1 1:41 solutions Answer 293299 by ewatrrr(10682)   on 2011-03-08 16:29:17 (Show Source): You can put this solution on YOUR website! ``` Hi MULTIPLE CHOICE QUESTION (consisting of 5 possible answers of which only one is correct) odds against guessing correctly 4:1 odds for guessing correctly 1:4 |good work P(guessing correctly) = 1/5 = .20 ```
 Square-cubic-other-roots/419389: If the volume of a cube is 216 cubic inches, what is the length of each edge of the cube?1 solutions Answer 293297 by ewatrrr(10682)   on 2011-03-08 16:25:11 (Show Source): You can put this solution on YOUR website! ``` Hi Volume(cube) = s*s*s where s is the length of each edge s^3 = 216 in^3 s = 6 in ```
 Probability-and-statistics/419380: IF THE ODDS AGAINST AN EVENT 'A' IS GIVEN AS 4:7, WE CAN CONCLUDE THAT THE PROBABILITY OF EVENT 'A' OCCURING IS .............? MY ANSWER: 7/111 solutions Answer 293296 by ewatrrr(10682)   on 2011-03-08 16:23:33 (Show Source): You can put this solution on YOUR website! ``` Hi odds against 4:7 odds for 7:4 P(event ocurring) = 7/11 |good work ```
 Quadratic-relations-and-conic-sections/419366: Write an equation of a parabola with a vertex at the origin and a directrix at y = 51 solutions Answer 293295 by ewatrrr(10682)   on 2011-03-08 16:19:24 (Show Source): You can put this solution on YOUR website! ``` Hi parabola with a vertex at the origin and a directrix at y = 5 The standard form is , where the focus is (h,k + p) p = -5 parabola opening downward y = -20x^2 ```
 Probability-and-statistics/419353: ......= PASS FAIL TOTAL MALE = 28 17 45 FEMALE= 21 19 40 TOTAL = 49 36 85 COMPUTE THE PROBABILTY OF RANDOMLY SELECTING A FEMALE OR A PERSON WHO PASSED?.....1 solutions Answer 293293 by ewatrrr(10682)   on 2011-03-08 16:00:38 (Show Source): You can put this solution on YOUR website! ``` Hi, great presentation ......= PASS FAIL TOTAL MALE = 28 17 45 FEMALE= 21 19 40 TOTAL = 49 36 85 P(selecting female 'or' a person who passed) = 40/85 + 49/85 - 21/85 ```
 Polynomials-and-rational-expressions/419342: how do u do 5n^2-7n+2=01 solutions Answer 293276 by ewatrrr(10682)   on 2011-03-08 15:27:59 (Show Source): You can put this solution on YOUR website! ``` Hi factoring 5n^2-7n+2=0 an^2 + bn + c n = 10/10 = 1 and n = 4/10 = 2/5 5(n-1)(n-2/5) = 0 Note:SUM of the inner product(-n) and the outer product(-2/5n) = -7/5n 5*-7/5n = -7n ```
 Polynomials-and-rational-expressions/419337: can you help me with polynomial factoring? 2m^2-13m+15=01 solutions Answer 293273 by ewatrrr(10682)   on 2011-03-08 15:22:41 (Show Source): You can put this solution on YOUR website! ``` Hi 2m^2-13m+15=0 x = 20/4 and x = 6/4 = 3/2 2(m-5)(m-3/2) = 0 Note:SUM of the outside terms(-5m) and the inside terms(-1.5m) = -6.5m 2*-6.5m = -13m ```
 Polynomials-and-rational-expressions/418997: factor each polynomial completely 36qģ+24qē+4q1 solutions Answer 293270 by ewatrrr(10682)   on 2011-03-08 15:13:30 (Show Source): You can put this solution on YOUR website! ``` Hi factor each polynomial completely 36qģ+24qē+4q 4q(9q^2 + 6q + 1) 4q(3q + 1)(3q + 1) Note:SUM of the inner product(3q) and the outer product(3q) = 6q ```
 Polynomials-and-rational-expressions/419328: 2x^3 - 10 + 4x^2 - 5x Factor by grouping1 solutions Answer 293268 by ewatrrr(10682)   on 2011-03-08 15:05:45 (Show Source): You can put this solution on YOUR website! ``` Hi Factoring by grouping 2x^3 - 10 + 4x^2 - 5x 2x^3 + 4x^2 - 5x - 10 2x^2(x+2) - 5(x+2) (2x^2 -5)(x+2) ```