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 Equations/704549: Solve the equation by graphing. Where necessary, round to the nearest hundredth. -x^3 - 3x - 3 = 01 solutions Answer 434152 by jim_thompson5910(28595)   on 2013-01-21 17:55:53 (Show Source): You can put this solution on YOUR website!Graph the equation to get Using a graphing calculator, the approximate solution is x = -0.81773 -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Proportions/704551: For a certain rectangle, the ratio of the shorter side to the longer side is 4 inches to 9 inches. How long is the shorter side, in feet, if the longer side is half a foot long?1 solutions Answer 434151 by jim_thompson5910(28595)   on 2013-01-21 17:53:09 (Show Source): You can put this solution on YOUR website!4/9 = x/0.5 4*0.5 = 9x 2 = 9x 2/9 = x x = 2/9 x = 0.222222 So the shorter side is 0.2222 ft or about 0.222*12 = 2.664 inches long.
 Linear-systems/704548: 4/3(7-n)=121 solutions Answer 434150 by jim_thompson5910(28595)   on 2013-01-21 17:51:12 (Show Source): You can put this solution on YOUR website!4/3(7-n)=12 4(7-n)=12*3 28-4n = 36 I'll let you finish up. -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 test/704540: The probability that a family has a dog is 1/5 . Out of a group of 15 families ... how many of them will likely have a dog.?1 solutions Answer 434149 by jim_thompson5910(28595)   on 2013-01-21 17:45:41 (Show Source): You can put this solution on YOUR website!You would expect (1/5)*15 = 3 families (on average) to have a dog.
 Percentage-and-ratio-word-problems/704544: which is longer 6 3/4 or 6 3/8? 1 solutions Answer 434148 by jim_thompson5910(28595)   on 2013-01-21 17:45:03 (Show Source): You can put this solution on YOUR website!3/4 = 6/8 so 6 3/4 is the same as 6 6/8 ------------------------------------------------------------------------- So the two lengths 6 3/4 and 6 3/8 is really the two lengths 6 6/8 and 6 3/8 Since 6/8 > 3/8 (6 is greater than 3), we can say that 6 6/8 is larger. Therefore, the first length, 6 3/4 is larger. -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Equations/704546: If 9(x-9)=-11 then x= ?1 solutions Answer 434147 by jim_thompson5910(28595)   on 2013-01-21 17:43:09 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 test/704543: Help -x=18 63=9c1 solutions Answer 434146 by jim_thompson5910(28595)   on 2013-01-21 17:42:44 (Show Source): You can put this solution on YOUR website!-x=18 x = -18 Answer: x = -18 ----------------------------------------------------------------- 63=9c 9c = 63 c = 63/9 c = 7 Answer: c = 7 -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Rational-functions/704533: help... im doing an algebra course and i find myself totally lost..this is an example in my text. 2x + y =4 x - 3y =-5 the solution given is (1,2) using the graphing method step 1 says on a single set of coordinate axes, graph each equation. and that right there is my problem.. i dont know how to graph them..a detailed working and explanation that i can use fr future reference will be highly appreciated.. thank you1 solutions Answer 434144 by jim_thompson5910(28595)   on 2013-01-21 17:18:00 (Show Source): You can put this solution on YOUR website!I'll show you how to graph 2x+y = 4 First solve for y 2x+y = 4 y = 4 - 2x y = -2x + 4 Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1 So starting at , go down 2 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and You follow the sames steps to graph x - 3y = -5
 test/704536: Help to solve -8x=181 solutions Answer 434143 by jim_thompson5910(28595)   on 2013-01-21 17:15:10 (Show Source): You can put this solution on YOUR website!Divide both sides by -8 to get -8x=18 x=18/(-8) x = -9/4 ... don't forget to reduce Final answer: x = -9/4 -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 test/704538: 1 solutions Answer 434142 by jim_thompson5910(28595)   on 2013-01-21 17:14:23 (Show Source): You can put this solution on YOUR website!blank problem
 Number-Line/704529: If kids reported a fav. topic of movie they liked and an action movie was 68 percent if 100 students answered the question how many of them chose action? 1 solutions Answer 434141 by jim_thompson5910(28595)   on 2013-01-21 17:14:00 (Show Source): You can put this solution on YOUR website!68 percent of 100 is exactly 68 because percentages are based off of 100. So 68 students (out of a 100) chose action. -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Equations/704528: how do you solve the equation -6x + 13 = 2x - 111 solutions Answer 434140 by jim_thompson5910(28595)   on 2013-01-21 16:55:57 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Quadratic-relations-and-conic-sections/704526: I have to sketch and identify x^2=y^2=48 and I have no clue, could you help me please????1 solutions Answer 434139 by jim_thompson5910(28595)   on 2013-01-21 16:55:26 (Show Source): You can put this solution on YOUR website!x^2+y^2=48 is a circle with center (0,0) and radius sqrt(48) since it is in the form (x-h)^2 + (y-h)^2 = r^2 where (h,k) is the center, r is the radius. -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Word_Problems_With_Coins/704521: My daughter got a multiplication worksheet home tonight but the last question was * How many quarters are there in 39? This has confused her but I think the answer is 4?1 solutions Answer 434138 by jim_thompson5910(28595)   on 2013-01-21 16:50:40 (Show Source): You can put this solution on YOUR website!There are 4 quarters in the number 1 (ie break up the number 1 into 4 pieces to get 0.25 each) So there are 39*4 = 156 quarters in 39. -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Trigonometry-basics/704519: This is a right triangle trigonometry problem. 1. A playground is built in the shape of a regular hexagon. If one side measures 40 meters, what is the area covered by the playground? 1 solutions Answer 434136 by jim_thompson5910(28595)   on 2013-01-21 16:47:10 (Show Source): You can put this solution on YOUR website!The hexagon can be broken up into 6 equal equilateral triangles Each equilateral triangle can be broken further into two right triangles with legs 20 (40/2 = 20) and 20*sqrt(3). The area of each right triangle is A = b*h/2 A = 20*20*sqrt(3)/2 A = 200*sqrt(3) Now multiply this by 2 (since there are 2 right triangles) to get 400*sqrt(3). Then multiply this by 6 since there are 6 congruent equilateral triangles. 6*400*sqrt(3) = 2400*sqrt(3) So the answer is 2400*sqrt(3) square meters. -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Equations/704517: 7b-5=44 1 solutions Answer 434134 by jim_thompson5910(28595)   on 2013-01-21 16:38:47 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 real-numbers/704514: Find the value of K such that 2x^2-3x+k has each solution set. A. Two real number solutions B.one real number solution C.no real number solution1 solutions Answer 434132 by jim_thompson5910(28595)   on 2013-01-21 16:30:53 (Show Source): You can put this solution on YOUR website!Hint: D = b^2 - 4ac is the discriminant If D = 0, then you have exactly one real solution If D < 0, then you have no real solutions. If D > 0, then you have two distinct real solutions. -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Permutations/704513: How many ways can 3 coins be selected out of 5?1 solutions Answer 434129 by jim_thompson5910(28595)   on 2013-01-21 16:29:52 (Show Source): You can put this solution on YOUR website!There are 5*4*3 = 60 ways to select 3 coins where order matters. There are 60/6 = 10 ways to select 3 coins where order does NOT matter. -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Permutations/704507: how many ways can 3 kids be selected from 12?1 solutions Answer 434118 by jim_thompson5910(28595)   on 2013-01-21 16:07:05 (Show Source): You can put this solution on YOUR website!There are 12 ways to choose the first kid There are 12-1 = 11 ways to choose the next kid (assuming the first kid can't be placed back in the mix and potentially chosen again) There are 12-2 = 10 ways to choose the third kid. So there are 12*11*10 = 1320 different ways to choose 3 kids where order matters. If order does not matter, then you'll have to divide by 6 because there are 3! = 6 ways to arrange any particular group. So if order does not matter, then there are 1320/6 = 220 different ways. Summary: If order does matter, then there are 1320 different ways If order does NOT matter, then there are 220 different ways -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Geometry_proofs/704504: How do you solve this false proof and what is the mistake in the proof? a=1,b=1 a=b a2=ab a2+a2=a2+ab 2a2=a2+ab 2a2-2ab=a2-ab 2(a2-ab)= 1(a2-ab) 2=11 solutions Answer 434116 by jim_thompson5910(28595)   on 2013-01-21 15:58:45 (Show Source): You can put this solution on YOUR website!You let/force a = b. So because a = b, this means that a^2 - ab b^2 - b*b ... plug in a = b (ie replace all copies of 'a' with 'b') b^2 - b^2 0 So if a = b, then a^2 - ab is equal to 0. When you jump from 2(a^2-ab)= 1(a^2-ab) to 2 = 1 in the last two lines, you are dividing both sides by a^2-ab. But if a = b, then a^2-ab = 0, which means you're dividing both sides by zero...which is undefined. So the last step is NOT a valid algebraic move because you can't divide by zero. -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Sequences-and-series/704503: an=9n, starting with n=11 solutions Answer 434115 by jim_thompson5910(28595)   on 2013-01-21 15:55:29 (Show Source): You can put this solution on YOUR website!an=9n starting with n = 1 generates the sequence 9, 18, 27, 36, 45, 54, ... basically the multiples of 9 ---------------------------------------------------------------- an = 9^n starting with n = 1 generates the sequence 9, 81, 729, 6561, ... which are the powers of 9 -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Sequences-and-series/704501: What is the next two numbers in this sequence, 4,9,7,14,10,19,13,24,16,29 1 solutions Answer 434114 by jim_thompson5910(28595)   on 2013-01-21 15:52:15 (Show Source): You can put this solution on YOUR website!Look at the odd numbered terms (in red) 4,9,7,14,10,19,13,24,16,29 Going from 4, to 7, to 10, etc tells us we're adding 3 to each term. This is because 4+3 = 7, 7+3 = 10, etc. So part of the rule is this: if n is an odd number, then you use the rule: an = 3n+1 where n starts at n = 1. This rule only works if n is odd though. If n is even, then we have this sequence (look at the above sequence, but instead of the red terms, focus on the black terms): 9, 14, 19, 24, 29 Now we're adding 5 to each term. So the rule is: if n is even, then use the formula an = 5n+4 So in the end, we have this rule If n is odd, use the formula an = 3n+1, where n starts at n = 1 If n is even, use the formula an = 5n+4, where n starts at n = 2 That completes the entire sequence because any number is either even or odd. The next term would be odd, so use the odd formula: 3n+1 = 3(6)+1 = 19. So the next term after 29 is 19 The term after that is even, so use 5n+4 = 5(6)+4 = 34. So the next two terms are: 19 and 34 -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Exponential-and-logarithmic-functions/704417: (-64)^((2)/(3))1 solutions Answer 434104 by jim_thompson5910(28595)   on 2013-01-21 15:27:38 (Show Source): You can put this solution on YOUR website!$\large (-64)^{2/3} = (\sqrt[3]{-64})^2$ $\large (-64)^{2/3} = (\sqrt[3]{(-4)^3})^2$ $\large (-64)^{2/3} = (-4)^2$ $\large (-64)^{2/3} = 16$ --------------------------------------------------------------------------------------------------- Answer: $\large (-64)^{2/3} = 16$ -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------
 Exponents/704482: what is 3,420,000,000 in scientific notation ?1 solutions Answer 434101 by jim_thompson5910(28595)   on 2013-01-21 15:22:58 (Show Source): You can put this solution on YOUR website!Place the decimal between the first two digits 3 and 4, then drop all the zeros off to get 3.42 Now move the decimal 9 spots to the right to get the number 3,420,000,000 again Since you had to move 9 spots to the right, this means that the exponent is 9 Therefore, $\large 3,420,000,000 = 3.42 \times 10^{9}$ -------------------------------------------------------------------------------------------------------------- If you need more help, you can email me at jim_thompson5910@hotmail.com To find other ways to contact me, you can also visit my website: http://www.freewebs.com/jimthompson5910/home.html Thanks, Jim --------------------------------------------------------------------------------------------------------------