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# Recent problems solved by 'user_dude2008'

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 Trigonometry-basics/183554: helloo, I am taking a work at your own pace class and do not have a text book, we get booklets premade by someone. here is my question, we are in trig right now A 3.6m tall person casts a shadow 7.25m long. At the same time of day a tree casts a shadow 67.2m long. How tall is the tree? Thank you1 solutions Answer 137784 by user_dude2008(1861)   on 2009-02-24 12:31:25 (Show Source): You can put this solution on YOUR website!"A 3.6m tall person casts a shadow 7.25m long. At the same time of day a tree casts a shadow 67.2m long. How tall is the tree?" 3.6/7.25=x/62.7 0.497=x/62.7 0.497(62.7)=x 31.134=x Answer: x=31.134 Tree is 31.134 meters
 Rational-functions/183466: This question is from textbook Given f(x)=2x^2-x-3 and g(x)=x+1 find f+g1 solutions Answer 137733 by user_dude2008(1861)   on 2009-02-23 20:10:51 (Show Source): You can put this solution on YOUR website!f(x)+g(x)=(2x^2-x-3)+(x+1)=2x^2-2 Ans: f(x)+g(x)=2x^2-2
 Geometric_formulas/183430: Hello (: I have a question, and I couldn't find the answer anywhere on the Internet. So, do you know what the formula for a nonrectangular parallelogram is? The question asked was 16. Let a and represent the side lengths and h the height to a side of length b in a nonrectangular parallelogram whose area is A. What is the formula for the area of the parallelogram? A: A = b X h B: A = a X h C: A = a X b D: A = h X (a + b) Thank you for your time (:1 solutions Answer 137731 by user_dude2008(1861)   on 2009-02-23 20:09:33 (Show Source): You can put this solution on YOUR website!Area of a parallelogram: A=b x h .... x is multiply See this page: http://www.mathgoodies.com/lessons/vol1/area_parallelogram.html
 Mixture_Word_Problems/183338: One thrid of a number is 5 less than half of the same number. What is the number? 1 solutions Answer 137677 by user_dude2008(1861)   on 2009-02-23 13:38:42 (Show Source): You can put this solution on YOUR website!"One thrid of a number is 5 less than half of the same number" ----> (1/3)*x=(1/2)*x-5 (1/3)*x=(1/2)*x-5 (1/3)*x-(1/2)*x=-5 (2/6)*x-(3/6)*x=-5 (-1/6)x=-5 -x=-30 x=30 Answer: number is 30
 Graphs/183331: I really don't get this!! 7. The points (1,5), (4,5), and (1,0) represent three corners of a rectangle; find the coordinates of the fourth point. thank you!!!1 solutions Answer 137676 by user_dude2008(1861)   on 2009-02-23 13:35:42 (Show Source): You can put this solution on YOUR website!Rectangles have points that share coordinates. So (1,5), (4,5) share y-coord and (1,5) and (1,0) share x-coord So last point is (4,0) shares x-coord with (4,5) and shares y-coord with (1,0)
 Word_Problems_With_Coins/183319: Two thirds of a number is 52. What is the number 1 solutions Answer 137675 by user_dude2008(1861)   on 2009-02-23 13:33:12 (Show Source): You can put this solution on YOUR website!"Two thirds of a number is 52" -----> (2/3)*x=52 (2/3)*x=52 2x=156 x=78 Answer: number is 78
 Word_Problems_With_Coins/183318: Nine more than a number is 90. What is the number 1 solutions Answer 137673 by user_dude2008(1861)   on 2009-02-23 13:27:46 (Show Source): You can put this solution on YOUR website!"Nine more than a number is 90" ----> x+9=90 x+9=90 x+9-9=90-9 x=81 <----Answer
 Exponents-negative-and-fractional/183317: Simplify the expression. The simplified expression should have no negative exponents. (4x^2y/3xy^2) 1 solutions Answer 137671 by user_dude2008(1861)   on 2009-02-23 13:24:59 (Show Source): You can put this solution on YOUR website!(4x^2y/3xy^2) = (4x)/(3y)
 Linear-equations/183311: For f(x)=2x^2-5x+3 and g(x)=4x+7 Find f(x)+g(x)1 solutions Answer 137670 by user_dude2008(1861)   on 2009-02-23 13:23:38 (Show Source): You can put this solution on YOUR website!f(x)+g(x) = (2x^2-5x+3)+(4x+7) f(x)+g(x) = 2x^2-x+10
 Rate-of-work-word-problems/183362: For the function f(x) = x^2, find the average rate of change of the function over the interval [-4,-1]. (Hint: x1 = -4, x2 = -1)1 solutions Answer 137669 by user_dude2008(1861)   on 2009-02-23 13:22:06 (Show Source): You can put this solution on YOUR website!Avg rate change = ( f(x2)-f(x1) )/( x2 - x1) Avg rate change = ( f(-1)-f(-4) )/( -2 + 4 ) Avg rate change = ( 1-4 )/( 2 ) Avg rate change = ( -3 )/( 2 ) Avg rate change = -3 / 2
 Miscellaneous_Word_Problems/183371: This question is from textbook Survey of Math use a proportion to determine the number of trout in a lake, a conservationist catches 112 trout, tags them and returns them to the lake. Later, 82 trout are caught, and 32 of them are found to be tagged. How many trout are in the lake?1 solutions Answer 137668 by user_dude2008(1861)   on 2009-02-23 13:19:23 (Show Source): You can put this solution on YOUR website!112/x=32/82 112=(32/82)x 112(82/32)=x Answer: x=287...287 trout in lake
 Exponential-and-logarithmic-functions/183363: please graph these>> thanks y = 5x – 2 y = 3(2)^x 1 solutions Answer 137667 by user_dude2008(1861)   on 2009-02-23 13:17:05 (Show Source): You can put this solution on YOUR website!Graph y = 5x – 2 Graph y = 3(2)^x
 Exponential-and-logarithmic-functions/183364: please graph this:) thnks y=(1/2)^x y = –3x + 1 1 solutions Answer 137666 by user_dude2008(1861)   on 2009-02-23 13:15:43 (Show Source): You can put this solution on YOUR website!Graph y=(1/2)^x Graph y = –3x + 1
 Miscellaneous_Word_Problems/183302: This question is from textbook Fourth Edition Elementary and Intermediate Algebra Find the counterexample to the statement: "The square of a number added to the sum of the number and five is a prime number. I started with the square root of 16, which I know is 4,but this is as far as I can get with setting this up....Help!!!1 solutions Answer 137633 by user_dude2008(1861)   on 2009-02-22 23:16:31 (Show Source): You can put this solution on YOUR website!"The square of a number added to the sum of the number and five" translates to Counter Example: Let x=4 ---> Since 25 is not prime, this means that the statement is false
 Expressions-with-variables/183172: suppose x^2+a^2x+a^2 factors into (x+a)^2 find the nonzero value of a1 solutions Answer 137543 by user_dude2008(1861)   on 2009-02-22 14:48:42 (Show Source): You can put this solution on YOUR website! x^2+a^2x+a^2= (x+a)^2 x^2+a^2x+a^2=x^2+2ax+a^2 a^2x=2ax a^2=2a a^2-2a=0 a=0 or a=2 Answer: a=2
 Pythagorean-theorem/183175: square root of y41 solutions Answer 137542 by user_dude2008(1861)   on 2009-02-22 14:46:11 (Show Source): You can put this solution on YOUR website!square root of y4 = y^2 .... y is nonnegative
 Expressions-with-variables/183179: solve. The sum of 7 times a positive number and 1 is the same as the square of 1 more than the number.1 solutions Answer 137541 by user_dude2008(1861)   on 2009-02-22 14:45:24 (Show Source): You can put this solution on YOUR website!"The sum of 7 times a positive number and 1 is the same as the square of 1 more than the number" ------> 7x+1=(1+x)^2 Answer: x=0 or x=5
 Mixture_Word_Problems/183187: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. Soution: 3, only solution. The equation is _____=0.1 solutions Answer 137540 by user_dude2008(1861)   on 2009-02-22 14:44:07 (Show Source): You can put this solution on YOUR website!The equation is x^2-6x+9=0
 Exponential-and-logarithmic-functions/183180: You would like to have \$6000 after 8 years. Find the amount you should deposit if the account pays 4.5% annual intrest compounded monthly?1 solutions Answer 137539 by user_dude2008(1861)   on 2009-02-22 14:43:25 (Show Source): You can put this solution on YOUR website!Answer: You should deposit about \$4188.88 in the account
 Expressions-with-variables/183176: write all factorable second degree trinomials whose first term is x^2 and whose last term is -161 solutions Answer 137538 by user_dude2008(1861)   on 2009-02-22 14:39:00 (Show Source): You can put this solution on YOUR website!Answers: x^2-16, x^2-15x-16, x^2+15x-16, x^2-6x-16, x^2+6x-16
 Mixture_Word_Problems/183185: Write a quadratic equation having the given numbers as solutions. -6 and -2 The quadratic equation is _______=0 Type your answer in standard form. Type an expression using x as a variable. 1 solutions Answer 137537 by user_dude2008(1861)   on 2009-02-22 14:38:12 (Show Source): You can put this solution on YOUR website!The quadratic equation is x^2+8x+12=0
 Trigonometry-basics/183068: This question is from textbook Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. (cos(x) - 1) sin(x) = 0 Any help is greatly appreciated! I am really struggling just to start these problems. I received 0 + 2Pi as an answer for this but the system said it was wrong.1 solutions Answer 137441 by user_dude2008(1861)   on 2009-02-21 18:09:55 (Show Source): You can put this solution on YOUR website!Last post is incorrect. pi/2 and (3/2)pi is not a solution Solutions are 0, 2pi, etc.. So solution set is x = 2pi*n where n is an integer Note: I checked answer with calculator
 Finance/183028: Jason comapred 2 brands of cooking oil sold in different size bottles Brand A: 24 ounces for \$1.68 Brand B: 32 ounces for \$ 2.40 determine which brand has the betterr unit price ok so i tried solving it by reducing 24 ounces to 3 and 1.68 dollars to .21 by dividing both numbers by 8 i did the same with 32 and 2.40 but if they were asking for the unit price, theyde probably want just 1 ounce and not 3 or 4. so thats where i need help. please help me1 solutions Answer 137397 by user_dude2008(1861)   on 2009-02-21 14:59:10 (Show Source): You can put this solution on YOUR website!Brand A Unit Price: 24 oz = 1.68 dollars ---> 24/24 oz = 1.68/24 ---> 1 oz = 0.07 dollars Brand B Unit Price: 32 oz = 2.40 dollars ---> 32/32 oz = 2.40/32 ---> 1 oz = 0.075 dollars Brand A has the lower unit price
 Money_Word_Problems/182043: This question is from textbook saxon algebra 2 A savings account earns interest at an annual rate of 4%, compounded quarterly. If the account begins with a principal amount of \$4000, what will its value be after 3 years? A=P(1+ 0.04/4)^4(3) A=\$4502.32 Am I Correct?1 solutions Answer 136639 by user_dude2008(1861)   on 2009-02-15 15:18:56 (Show Source): You can put this solution on YOUR website!"A savings account earns interest at an annual rate of 4%, compounded quarterly. If the account begins with a principal amount of \$4000, what will its value be after 3 years?" -----------> P=4000, r=0.04, n=4, t=3 A=P(1+ r/n)^(n*t) A=4000(1+ 0.04/4)^(4*3) A=4000(1.01)^(12) A=4,507.30 you will have \$4,507.30 in the account
 Problems-with-consecutive-odd-even-integers/182038: The numbers on sam's three raffle tickets are consecutive intergers. the sum of the numbers is 126. what are the numbers?1 solutions Answer 136634 by user_dude2008(1861)   on 2009-02-15 14:48:34 (Show Source): You can put this solution on YOUR website!Numbers: x, x+1, x+2 Sum: (x)+(x+1)+(x+2)=126 3x+3=126 3x=123 x=41 Answer: Numbers are 41, 42, and 43
 Coordinate-system/182030: This question is from textbook College Algebra The Graphing Approach This is a two part question: The function f(x) is graphed points are (3,-1), (1,0), (0,3), (-2,4) Graph y=-f(x-2) I'm not sure but I have the new points as (-3,-1), (0,1), (0,3) (2,4) Could you check this for me The funtion f(x) is graphed points are (3,-1), (1,0), (0,3), (-2,4) Graph y=f(2x) I have a TI-84 Plus - I'm not sure how to use it very well and my instructor doesn't give much in the way of using it. So I'm kind of lost. Thanks for your help 1 solutions Answer 136632 by user_dude2008(1861)   on 2009-02-15 13:55:12 (Show Source): You can put this solution on YOUR website!Points are of form: (x,y) or (x, f(x)) f(x-2) tells you to subtract 2 from each x to get new y, but you need to add 2 to undo this. So add 2 to each x (keep y the same) New points: (5,-1), (3,0), (2,3), (0,4) ------------------------------------------------- f(2x) tells you to double each x. Need to take half of each x to undo this New points: (1.5, -1), (0.5, 0), (0, 3), (-1, 4)
 Mixture_Word_Problems/181815: This question is from textbook Algebra for college students Missing numbers. Find two real numbers that have a sum of 6 and a product of 4.1 solutions Answer 136408 by user_dude2008(1861)   on 2009-02-13 13:17:33 (Show Source): You can put this solution on YOUR website!product of 4---> x*y=4 ---> y=4/x sum of 6 ----> x+y=6 ---> x+4/x=6 ---> (x^2+4)/x=6 ----> x^2-6x+4=0 Solve for x Use quadratic formula to get x=3+sqrt(5) or x=3-sqrt(5) ---> y=4/(3+sqrt(5)) ----> y=3-sqrt(5) ---> y=4/(3-sqrt(5)) ----> y=3+sqrt(5) Answer: Two numbers are 3+sqrt(5) and 3-sqrt(5)
 Proportions/181777: This question is from textbook Algebra The sum of the reciprocals of two consecutive odd integers is 8/15 (which is a fraction). What are the integers?1 solutions Answer 136407 by user_dude2008(1861)   on 2009-02-13 13:08:42 (Show Source): You can put this solution on YOUR website!1/x+1/(x+2)=8/15 (x+2+x)/(x(x+2))=8/15 30x+30=8x^2+16x 8x^2-14x-30=0 2(4x+5)(x-3)=0 4x+5=0 ---> x=-5/4=-1.25 (ignore, not an integer) or x-3=0 ----> x=3 1st Num: 3 2nd Num: 3+2=5 Two numbers: 3 and 5 Check: 1/3+1/5=5/15+3/15=8/15
 Equations/181813: Factoring difference of cube 27a^3 - 343b^3 1 solutions Answer 136406 by user_dude2008(1861)   on 2009-02-13 12:59:39 (Show Source): You can put this solution on YOUR website!27a^3 - 343b^3 = (3a-7b)(9a^2+21ab+49b^2) ... difference of cubes
 Polynomials-and-rational-expressions/180968: Simply the expression: 2n^2y^19n^11y^5 2 the 2 at the end does not mean to square the expression to the second power! It is a number without variables or exponents a) 4n^13y^24 b) no correct answer c) 2n^30y^7 d) 4y^13n^24 how did you get the answer1 solutions Answer 135688 by user_dude2008(1861)   on 2009-02-08 23:36:57 (Show Source): You can put this solution on YOUR website! Answer:
 Probability-and-statistics/180897: How can I proceed to solve this problem? Thank you. In establishing warranties on HDTV sets, the manufacturer wants to set the limites so that few will need repair at manufacturer expense. On the other hand, the warranty period mst be long enough to make the purchase attractive to the buyer. For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months. Where should the warranty limits be set so that only 10 percent of the HDTVs need repairs at the manufacturer's expensive? 1 solutions Answer 135623 by user_dude2008(1861)   on 2009-02-08 14:02:52 (Show Source): You can put this solution on YOUR website!See this other solution (same problem) http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.175302.html