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# Recent problems solved by 'ewatrrr'

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 Money_Word_Problems/624529: If you put \$5,000 each year into a savings account that pays interest at the rate of 4% a year, how much would you have after 5 years?1 solutions Answer 392806 by ewatrrr(10682)   on 2012-06-28 13:01:27 (Show Source): You can put this solution on YOUR website! ``` Hi,previouslyy Posted In General A = Accumulated Amount P= principal = 5000 r= annual rate = .04 n= periods per year = 1 t= years =5 ```
 Age_Word_Problems/624524: steven is 13 years older than his sister sarah. Together they are 28 years old. How old is Steven and how old is Sarah?1 solutions Answer 392805 by ewatrrr(10682)   on 2012-06-28 12:46:34 (Show Source): You can put this solution on YOUR website! ``` Hi,re TY, at 28, the age wll be fractional...unusual for age problems..but interesting steven is 13 years older than his sister sarah age Together they are 25 years old. How old is Steven and how old is Sarah? Question states*** believe You meant 25 Sarah Steven x + (x +13) = 25 2x = 12 x = 6, sarah's age and Steven is 19 Sarah Steven x + (x +13) = 28 2x = 15 x = 15/2, Sarah 7 1/2 yrs old and Steven 20 1/2 years old ```
 Money_Word_Problems/624527: If you put \$5,000 in a savings account that pays interest at a rate of 4%, compunded anuually, how much will you have in 5 years?1 solutions Answer 392803 by ewatrrr(10682)   on 2012-06-28 12:40:45 (Show Source): You can put this solution on YOUR website! ``` Hi, In General A = Accumulated Amount P= principal = 5000 r= annual rate = .04 n= periods per year = 1 t= years =5 ```
 Polynomials-and-rational-expressions/624516: Solve . Write your solution using set builder notation. Please show all of your work. x-5/9 ≤ -2 (The slash line isn't for a fraction it really is a slash between the z-5 and 9) 1 solutions Answer 392801 by ewatrrr(10682)   on 2012-06-28 12:35:02 (Show Source): You can put this solution on YOUR website! ``` Hi, (x-5)/9 ≤ - 2 \Note: using parenthesis makes it very clear x-5 ≤ -18 x ≤ -13 {x : x ≤ -13 } ```
 Quadratic_Equations/624521: find the vertex, line of symmetry, min or max and graph. f(x)=-2x^2+2x+11 solutions Answer 392800 by ewatrrr(10682)   on 2012-06-28 12:22:19 (Show Source): You can put this solution on YOUR website! ``` Hi, find the vertex, line of symmetry, min or max and graph. f(x)= -2x^2+2x+1 |Completing square y = ax^2 + bx + c ⇒ y = a(x -(-b/2a)^2) - a(-b/2a)^2 + c f(x)= -2(x-1/2)^2 + 1/2 +1 V(1/2,3/2,maximum -2<0, parabola opens downward along x =.5 the vertex form of a Parabola opening up(a>0) or down(a<0), where(h,k) is the vertex and x = h is the Line of Symmetry 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 and y = k is the Line of Symmetry The standard form is , where the focus is (h +p,k ) ```
 Exponential-and-logarithmic-functions/624519: Log7 491 solutions Answer 392796 by ewatrrr(10682)   on 2012-06-28 12:08:39 (Show Source): You can put this solution on YOUR website! ``` Hi, ⇒ and y = 2 ```
 Graphs/624520: find the slope of the line 2x=y1 solutions Answer 392795 by ewatrrr(10682)   on 2012-06-28 12:06:01 (Show Source): You can put this solution on YOUR website! ``` Hi, y = mx + b y = 2x , slope m = 2 ```
 Rational-functions/624506: Use the graph of f (x)= sqrt x to match the function to its corresponding graph. In words describe the transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left). What exactly is the question asking me to do?1 solutions Answer 392794 by ewatrrr(10682)   on 2012-06-28 12:04:54 (Show Source): You can put this solution on YOUR website! ``` Hi, f (x)= sqrt(x) Green (nice to keep in mind what this looks like) f(x) = sqrt(x+6) is shifted 6 units to the left. Blue ```
 Square-cubic-other-roots/624482: How do we find the square root of numbers that do not have a square root? For ex) the square root of 32, 284, etc. (And not the decimal rounded square roots). I am having trouble finding the square roots. 1 solutions Answer 392793 by ewatrrr(10682)   on 2012-06-28 11:57:41 (Show Source): You can put this solution on YOUR website! ``` Hi, Number such as 32, true it is are not a perfect square... But...it may have a perfect square as one of its factors, which allows for simplyfying it: for ex: ```
 Radicals/624501: Multiply and simplify if possible. sqrt7x[sqrtx - 7sqrt7] A. xsqrt7 - 49sqrtx B. xsqrt7 - xsqrt49 C. sqrt7x - 49x D. -sqrt42x1 solutions Answer 392788 by ewatrrr(10682)   on 2012-06-28 11:33:04 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: ```
 Word_Problems_With_Coins/624503: Mary Lou has 2 more nickels than pennies, and she has 30 coins all together. Use x for the number of pennies. 1 solutions Answer 392784 by ewatrrr(10682)   on 2012-06-28 11:25:13 (Show Source): You can put this solution on YOUR website! ``` Hi, Mary Lou has 2 more nickels thanpennies, and she has 30 coins all together Question states*** Pennies + Nickels = 30 coins x + (x+ 2) = 30 Solve for x (the number of pennies) ```
 Quadratic-relations-and-conic-sections/624475: what is the length of the transverse axis of the hyperbola defined by the equation (y+3)^2/7^2- (x+3)^2/3^2=11 solutions Answer 392778 by ewatrrr(10682)   on 2012-06-28 10:40:43 (Show Source): You can put this solution on YOUR website! ``` Hi, what is the length of the transverse axis of the hyperbola defined by the equation (y+3)^2/7^2- (x+3)^2/3^2=1 length of the transverse axis = 14, the distance between the vertices along x = -3 Standard Form of an Equation of an Hyperbola opening up and down is: with C(h,k) and vertices 'b' units up and down from center, 2b the length of the transverse axis Foci units units up and down from center, along x = h & Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a Standard Form of an Equation of an Hyperbola opening right and left is: with C(h,k) and vertices 'a' units right and left of center, 2a the length of the transverse axis Foci are units right and left of center along y = k & Asymptotes Lines passing thru C(h,k), with slopes m = ± b/a ```
 Linear_Equations_And_Systems_Word_Problems/624485: a positive number is 5 times another number. if 21 is added to both the numbers then one of the number becomes twice the other new no. what are the nos.1 solutions Answer 392775 by ewatrrr(10682)   on 2012-06-28 10:08:40 (Show Source): You can put this solution on YOUR website! ``` Hi a positive number is 5 times another number if 21 is added to both the numbers: then one of the number becomes twice the other new no. what are the nos. Question states*** Note: as x is a positive number...5x is larger that x 5x + 21 = 2(x+21) x = 7, the smaller number. larger number is 35 and CHECKING our Answer*** 35+21 = 56 = 2(7+21) = 2*28 ```
 Problems-with-consecutive-odd-even-integers/624478: find three consecutive integers for which the sum of the squares is 65 more than three times the square of the smallest intege 1 solutions Answer 392774 by ewatrrr(10682)   on 2012-06-28 09:59:52 (Show Source): You can put this solution on YOUR website! ``` Hi find three consecutive integers , , for which the sum of the squares is 65 more than three times the square of the smallest intege x^2 + (x+1)^2 +(x+2)^2 = 3x^2 +65 Expand, Solve for x, List the 3 Integers. ```
 Graphs/624484: write the equation of the line with slope = 4/5 and containing the point (3,7)1 solutions Answer 392773 by ewatrrr(10682)   on 2012-06-28 09:55:39 (Show Source): You can put this solution on YOUR website! ``` Hi, write the equation of the line with slope = 4/5 and containing the point (3,7) y = mx + b y = (4/5)x + b | using pt(3,7) to find b 7 = 12/5 +b 35/5-12/5 = b = 23/5 y = (4/5)x + 23/5 ```
 Linear-equations/624483: What is the slope of the line passing through the points b–1, – 4g and b– 7, – 4g?1 solutions Answer 392772 by ewatrrr(10682)   on 2012-06-28 09:50:48 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the slope of the line passing through the points b–1, – 4g and b–7, – 4g m = 0/6 = 0 ```
 Linear-systems/624473: 2x - 3y = 6 how do i graph this 1 solutions Answer 392771 by ewatrrr(10682)   on 2012-06-28 09:37:28 (Show Source): You can put this solution on YOUR website! ``` Hi, how do i graph this? I. find 2 points (x,y) on this line II. Plot points on graph III. then connect those points with a line 2x - 3y = 6 x = 0 ⇒ Pt(0, -2) on this Line y = 0 ⇒ Pt(3, 0) on this Line Plotting these points and connecting with a line ```
 Radicals/624474: Simplify. Remember to use Absolute-value notation when necessary. If a root Cannot be simplified, STATE This. Please Show your steps, and explain as you go, for full credit. 5 is the square root of - 1/32 I did not know how to make the square root here. But the 5 is right above the square root sign. The - 1/32 is inside the square root. Any and all help is greatly appreciated on this problem. 1 solutions Answer 392769 by ewatrrr(10682)   on 2012-06-28 09:28:18 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: ```
 Quadratic-relations-and-conic-sections/624465: 16x^2+16y^2-9=0 find center and radius1 solutions Answer 392768 by ewatrrr(10682)   on 2012-06-28 09:06:02 (Show Source): You can put this solution on YOUR website! ``` Hi, Note:Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius C(0,0) ```
 Quadratic-relations-and-conic-sections/624448: Write an equation of the line tangent to the given circle at the given point. (-4,6)1 solutions Answer 392767 by ewatrrr(10682)   on 2012-06-28 08:59:28 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius Write an equation of the line tangent to the given circle at the given point. (-4,6) || Center of the circle is (0,0) (-4,6) (0,0) m = 6/-4 Green Line has slope m = -3/2, the Line Tangent at (-4,6) would be perpendicular to the Green with m = 2/3 y = (2/3)x + b 6 = -8/3 + b, 26/3 = b , y = (2/3)x + 26/3 ```
 Square-cubic-other-roots/624466: what is the distance between (-4,-12) and (11,-6) 1 solutions Answer 392766 by ewatrrr(10682)   on 2012-06-28 08:42:55 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: D = what is the distance between (-4,-12) and (11,-6) D = ```
 Polynomials-and-rational-expressions/624464: The sides of a square table is measured at 3x-y+4z meters. What is the area? I just want to know if my answer is correct. My answer is 9x^2 + y^2 + 16z^2 - 6xy + 24xz - 8yz 1 solutions Answer 392765 by ewatrrr(10682)   on 2012-06-28 08:33:56 (Show Source): You can put this solution on YOUR website! ``` Hi, = (3x - y + 4z)(3x - y + 4z) = 3x(3x - y + 4z)-y(3x - y + 4z)+4z(3x - y + 4z) = 9x^2 - 3xy +12xz - 3xy + y^2 - 4yz + 12xz - 4yz + 16z^2 Yes Good work! = 9x^2 + y^2 + 16z^2 - 6xy + 24xz - 8yz ```
 Age_Word_Problems/624461: can you please help me solve this question 'how old am i if i am 4 times my daughters age today and 7 years earlier i was 11 times her age?' i am not quite sure how to go about solving it thank you. 1 solutions Answer 392761 by ewatrrr(10682)   on 2012-06-28 07:59:10 (Show Source): You can put this solution on YOUR website! ``` Hi, 4 times my daughters age... today 7 years earlier i was 11 times her age Question states*** 7 years earlier... mother 4x -7 = 11(x-7) 70 = 7x x = 10, daughters age now. Mother is 40 and CHECKING our Answer*** 7 years earlier... ```
 Quadratic-relations-and-conic-sections/624452: Write the equation of the ellipse with the given characteristics and center at (0,0). Vertex: (4,0) Co-Vertex: (0,2)1 solutions Answer 392759 by ewatrrr(10682)   on 2012-06-28 07:50:12 (Show Source): You can put this solution on YOUR website! ``` Hi Note: Standard Form of an Equation of an Ellipse is where Pt(h,k) is the center. (a variable positioned to correspond with major axis) a and b are the respective vertices distances from center Write the equation of the ellipse with the given characteristics and center at (0,0). Vertex: (4,0) Co-Vertex: (0,2) ```
 Average/624460: A student scored 67, 81, and 98 on three algebra tests.What must he score on the fourth test in order to have an average grade of at least 85?1 solutions Answer 392757 by ewatrrr(10682)   on 2012-06-28 07:45:22 (Show Source): You can put this solution on YOUR website! ``` Hi, A student scored 67, 81, and 98 on three algebra tests. What must he scoreon the fourth test in order to have an average grade of at least 85? Question states*** (67+81+98+x)/4 ≥ 85 67+81+98+x ≥ 340 solve for x ```
 Triangles/624359: Find the range for the measurement of the third side of a triangle, x, given the measures of the two sides: 3.8 ft and 9.2 ft.1 solutions Answer 392756 by ewatrrr(10682)   on 2012-06-28 07:41:51 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the range for the measurement of the third side of a triangle, x, given the measures of the two sides: 3.8 ft and 9.2 ft. 3.8t + 9.2ft = 13ft, 3rd side < 13ft || Note: sum of two sides must be greater than the 3rd side ```
 Age_Word_Problems/624456: Monica can type a proposal in 3 hours. while jose can type the same proposal in 5 hrs. How long would it take them to type the proposal if they work together?1 solutions Answer 392755 by ewatrrr(10682)   on 2012-06-28 07:23:28 (Show Source): You can put this solution on YOUR website! ``` Hi Monica can type a proposal in 3 hours. while jose can type the same proposal in 5 hrs. How longwould it take them to type the proposal if they work together? Question states*** PER hr KEY 1/3 + 1/5 = 1/x |Multiplying thru by 15x so as all denominators = 1 5x + 3x = 15 Solve for x ```
 Age_Word_Problems/624454: Jose is 27 years older than his son. 10 years from now, he will be twice as old as his son. How old is each now?1 solutions Answer 392753 by ewatrrr(10682)   on 2012-06-28 07:20:42 (Show Source): You can put this solution on YOUR website! ``` Hi, Jose is 27 years older than his son age 10 years from now, he will be twice as old as his son. How old is each now? Question states*** 10yrs from now... father (x + 27) + 10 = 2(x + 10) x + 37 = 2x + 20, x = 17, son's age. Father is 44. (17+27) and.. CHECKING our Answer***10yrs from now... 54 = 2*27 ```
 Quadratic-relations-and-conic-sections/624450: graph the equation. Identify the radius of the circle. =12 1 solutions Answer 392752 by ewatrrr(10682)   on 2012-06-28 07:15:21 (Show Source): You can put this solution on YOUR website! ``` Hi, Note:Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius =12 C(0,0) ```
 Quadratic-relations-and-conic-sections/624451: Graph the equation. Identify the radius of the circle. =96 1 solutions Answer 392751 by ewatrrr(10682)   on 2012-06-28 07:13:40 (Show Source): You can put this solution on YOUR website! ``` Hi, Note:Standard Form of an Equation of a Circle is where Pt(h,k) is the center and r is the radius C(0,0) ```
 Rate-of-work-word-problems/624440: A small swimming pool can be filled with water by 2 pipes in 3 hours. If the larger pipe alone takes 8 hours less than the smaller pipe to fill the pool find the time in which it will be filled by each pipe operating singly.1 solutions Answer 392750 by ewatrrr(10682)   on 2012-06-28 07:07:54 (Show Source): You can put this solution on YOUR website! ``` Hi, A small swimming pool can be filled with water by 2 pipes in 3 hours. If the larger pipe alone takes 8 hours less than the smaller pipe hrsto fill the pool find the time in which it will be filled by each pipe operating singly Question states***PER hr Key |Multiplying thru by 3x(x-8) so as all denominators = 1 3(x-8) + 3x = x(x-8) 3x - 24 + 3x = x^2 - 8x x^2 -14x + 24 = 0 (x - 12)(x - 2) = 0 x = 12hr (throwing out illogical solution x = 2) Smaller Pipe takes 12hr and the larger Pipe 4hrs to fill the pool by itself ```