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Polynomials-and-rational-expressions/339211: rationalize the denominator √5/y Any help would be great. Need to show work. 1 solutions Answer 243119 by jim_thompson5910(28696)   on 2010-09-05 19:01:54 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

absolute-value/339198: How do I solve this absolute value equation:3/5+2|2-3/4x|=7. The answers are -8/5 or 104/15 but I do not know how the answers are found. Please reply ASAP. Thanks. 1 solutions Answer 243115 by jim_thompson5910(28696)   on 2010-09-05 18:38:33 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms. Multiply both sides by Multiply. Reduce. Now remember that if , then or This means that if , then or Let's solve the first equation: Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So one solution is ---------------------------------------------------- Now let's solve Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So another solution is This means that the solutions to are or If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Equations/339194: (10x^3y^5)^-3 1 solutions Answer 243114 by jim_thompson5910(28696)   on 2010-09-05 18:29:08 (Show Source): You can put this solution on YOUR website! Start with the given expression. Flip the base to make the exponent positive. Distribute the exponent. Cube 1 to get 1. Rewrite as . Multiply the outer exponent by each of the inner exponents. Multiply the exponents. Cube 10 to get 1000 So where every variable is nonzero. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Numbers_Word_Problems/339192: four times a number added to 9 times the number equals 52. find the number 1 solutions Answer 243112 by jim_thompson5910(28696)   on 2010-09-05 18:21:17 (Show Source): You can put this solution on YOUR website! Hint: "four times a number added to 9 times the number equals 52" means that If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Angles/339193: find the measure of the supplement for 38 degrees 1 solutions Answer 243109 by jim_thompson5910(28696)   on 2010-09-05 18:16:21 (Show Source): You can put this solution on YOUR website! Supplement of 38 degrees = 180-38 = 142 degrees If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Average/339191: Number Set: 11, 9, 18, 24, 8, 14 - What number do you need to add to the set to make the mean equal to 15? 1 solutions Answer 243108 by jim_thompson5910(28696)   on 2010-09-05 18:13:37 (Show Source): You can put this solution on YOUR website! Hint: Add in some unknown number 'x' to get 11, 9, 18, 24, 8, 14, x Now compute the mean to get . Since you want the mean to be 15, this means that If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Equations/339188: 4x/3 - 5/6 = x/2 - 10 1 solutions Answer 243106 by jim_thompson5910(28696)   on 2010-09-05 18:03:15 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Add to 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, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Graphs/339184: x+3y=56 what is the intercept 1 solutions Answer 243105 by jim_thompson5910(28696)   on 2010-09-05 17:50:15 (Show Source): You can put this solution on YOUR website! x-intercept To find the x-intercept, plug in and solve for x Start with the given equation. Plug in . Multiply and 0 to get 0. Simplify. So the x-intercept is . If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Probability-and-statistics/339175: A basketball player has a 70% free throw shooting average, which can be interpreted to mean that the probability of his hitting any single free throw is 0.7 or 7/10. Assume that free throws are independent events, so that what happens on one free throw doesn't affect the outcome of the next. What is the probability the player makes his first three free throws? What is the probability that in shooting five free throws he hist at least one? 1 solutions Answer 243098 by jim_thompson5910(28696)   on 2010-09-05 17:19:48 (Show Source): You can put this solution on YOUR website! What is the probability the player makes his first three free throws? P(3 Free Throws Made) = P(One Free Throw Made AND One Free Throw Made AND One Free Throw Made) P(3 Free Throws Made) = P(One Free Throw Made) * P(One Free Throw Made) * P(One Free Throw Made) Note: this equation is possible since the events are independent. P(3 Free Throws Made) = (7/10) * (7/10) * (7/10) P(3 Free Throws Made) = (7*7*7)/(10*10*10) P(3 Free Throws Made) = 343/1000 P(3 Free Throws Made) = 0.343 So the probability is 343/1000 or 0.343 (which is a 34.3% chance) to make all 3 free throws. Note: In real life, these events are likely to be dependent. Eg, say the player misses the first two. If this happens, his/her confidence may be lowered which may contribute to missing the third one (ie also contributing to lowering the probability). I'll let you answer the second question. You either have to break up the problem into cases (ie chances of the player hitting all 5 + chances of the player hitting 4 shots + chances of the player hitting 3 shots + chances of the player hitting 2 shots + chances of the player hitting 1 shot), or you can think of it like 1-P(missing all 5) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Graphs/339172: What is the midpoint of X(8,14) and Y(2,6)? 1 solutions Answer 243092 by jim_thompson5910(28696)   on 2010-09-05 17:03:03 (Show Source): You can put this solution on YOUR website! To find the midpoint, first we need to find the individual coordinates of the midpoint. X-Coordinate of the Midpoint: To find the x-coordinate of the midpoint, simply average the two x-coordinates of the given points by adding them up and dividing that result by 2 like this: So the x-coordinate of the midpoint is ----------------------------------------------------- Y-Coordinate of the Midpoint: To find the y-coordinate of the midpoint, simply average the two y-coordinates of the given points by adding them up and dividing that result by 2 like this: So the y-coordinate of the midpoint is So the midpoint between the points and is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Probability-and-statistics/339167: A die is rolled twice. What is the probability of getting a sum greater than or equal to ten? I was thinking that it would be 1/12, Can someone please let me know if this is correct? Thank you:) 1 solutions Answer 243091 by jim_thompson5910(28696)   on 2010-09-05 17:00:30 (Show Source): You can put this solution on YOUR website! Make a table detailing ALL the possible ways to roll two dice and their corresponding sum 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 Note: Each cell (not in bold) is the sum of the corresponding number in the first row and the first column (shown in bold). Ex: Say you roll a 6 and a 3. So you could choose the sixth row and intersect that with the 3rd column (or vice versa) to get 6+3=9 From the table, we can clearly see all the possible outcomes (there are 6*6=36 outcomes). Also, we can see from the table that there are 5 ways to roll a 10 or more (shown in red). So the probability is which is roughly 0.13889 (which is a 13.889% chance) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Quadratic_Equations/339163: Michael is involved in such a violent hit that it sends his helmet straight up into the air with a speed of 2m/sec. What is the maximum height his helmet reaches? In this question I really dont understand what other things you know in this question besides the 2m/sec.? 1 solutions Answer 243090 by jim_thompson5910(28696)   on 2010-09-05 16:29:05 (Show Source): You can put this solution on YOUR website! Hint: The acceleration of gravity is 9.8 m/s^2 (ie every second, a falling object speeds up by 9.8 m/s). Hopefully, this is mentioned in your book. So the equation that models the height of the helmet is where 'x' is the time and 'y' is the height. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Equations/339161: -4(2-3x)=7-2(x-3) 1 solutions Answer 243086 by jim_thompson5910(28696)   on 2010-09-05 16:16:07 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the right side. Add to both sides. Add to 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, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

absolute-value/339159: 3|x-d|=c if c>0 1 solutions Answer 243085 by jim_thompson5910(28696)   on 2010-09-05 16:08:18 (Show Source): You can put this solution on YOUR website! Hint: If , then means that or If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Permutations/339158: An algebra class has 17 boys and 16 girls. One student is chosen at random from the class. What is the probability of a girl being chosen? 1 solutions Answer 243084 by jim_thompson5910(28696)   on 2010-09-05 16:07:23 (Show Source): You can put this solution on YOUR website! P(Girl) = # of girls/# of students total = 16/(17+16) = 16/33 So the probability is 16/33 which is roughly 0.4849 (or a 48.49% chance) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Probability-and-statistics/339156: A jar contains three colored marbles: 10 red, 15 green, and 25 blue. What is the probability of getting a red marble? 1 solutions Answer 243083 by jim_thompson5910(28696)   on 2010-09-05 16:05:36 (Show Source): You can put this solution on YOUR website! P(red) = # of red/# total = 10/(10+15+25) = 10/50 = 1/5 So the probability is 1/5 or 0.2 (which is a 20% chance) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Probability-and-statistics/339155: A jar contains three colored marbles: 10 red, 15 green, and 25 blue. What is the probability of selecting a green colored marble? 1 solutions Answer 243082 by jim_thompson5910(28696)   on 2010-09-05 16:04:42 (Show Source): You can put this solution on YOUR website! P(green) = # of green/# total = 15/(10+15+25) = 15/50 = 3/10 So the probability is 3/10 or 0.3 (which is a 30% chance) If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Rectangles/339153: the area of a rectangle is 450 square inches . if the length of the rectangle is 24 inches, what is the width? 1 solutions Answer 243081 by jim_thompson5910(28696)   on 2010-09-05 16:02:31 (Show Source): You can put this solution on YOUR website! Start with the area of a rectangle formula. Divide both sides by to isolate "W". Flip the equation. Plug in and . Divide into to get . So if a rectangle has a length of inches and an area of square inches, then it must have a width of inches. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Unit_Conversion_Word_Problems/339152: i just need help setting up the problem... a virus is turning 25000 people sick every minute, the world population is about 6.5 billion. how many days will it take the whole world to get sick? 1 solutions Answer 243080 by jim_thompson5910(28696)   on 2010-09-05 16:00:37 (Show Source): You can put this solution on YOUR website! In one minute 25,000 people are sick. In two minutes, 2*25,000=50,000 people are sick. In three minutes, 3*25,000=75,000 people are sick. This pattern continues. In 'x' minutes (ie some unknown amount of time), 25000x people are sick. Since 6.5 billion = 6.5*10^9, and we want 25000x to be equal to 6.5 billion, this means that If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Equations/339150: find the real solutions to this equation:(x+3)^2+9(x+3)+14=0 1 solutions Answer 243078 by jim_thompson5910(28696)   on 2010-09-05 15:46:59 (Show Source): You can put this solution on YOUR website! Start with the given equation. FOIL Distribute. Combine like terms. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Square to get . Multiply to get Subtract from to get Multiply and to get . Take the square root of to get . or Break up the expression. or Combine like terms. or Simplify. So the solutions are or If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Equations/339017: y = -2/3x - 12 1 solutions Answer 243008 by jim_thompson5910(28696)   on 2010-09-05 00:34:10 (Show Source): You can put this solution on YOUR website! I'm assuming you want to graph this. If so, then... 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 3. This means that to go from point to point, we can go down 2 and over 3 So starting at , go down 2 units and to the right 3 units 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 If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Graphs/339012: write an equation perpendicular to 2x - y = 1 going through (3,5) and graph 1 solutions Answer 243005 by jim_thompson5910(28696)   on 2010-09-05 00:07:37 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Rearrange the terms. Divide both sides by to isolate y. Break up the fraction. Reduce. We can see that the equation has a slope and a y-intercept . Now to find the slope of the perpendicular line, simply flip the slope to get . Now change the sign to get . So the perpendicular slope is . Now let's use the point slope formula to find the equation of the perpendicular line by plugging in the slope and the coordinates of the given point . Start with the point slope formula Plug in , , and Distribute Multiply Add 5 to both sides. Combine like terms. note: If you need help with fractions, check out this solver. So the equation of the line perpendicular to that goes through the point is . Here's a graph to visually verify our answer: Graph of the original equation (red) and the perpendicular line (green) through the point . If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Quadratic_Equations/339009: x^2-6x+13=0 1 solutions Answer 243002 by jim_thompson5910(28696)   on 2010-09-04 23:46:20 (Show Source): You can put this solution on YOUR website! Start with the given equation. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Negate to get . Square to get . Multiply to get Subtract from to get Multiply and to get . Take the square root of to get . or Break up the expression. or Break up the fraction for each case. or Reduce. or Simplify. So the solutions are or If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Linear-equations/339008: I need a refresher on how to do these types of problems. You dont have to show me the exact answer just maybe an example of a similar problem. 1. Write an equation parallel to 3x + 6y = -12 going through (4,-2) and graph. 2. Write an equation going through (3,5) and graph. 1 solutions Answer 243001 by jim_thompson5910(28696)   on 2010-09-04 23:37:13 (Show Source): You can put this solution on YOUR website! I'll do the first one to get you started. Please only post one problem at a time. Thanks. Start with the given equation. Subtract from both sides. Rearrange the terms. Divide both sides by to isolate y. Break up the fraction. Reduce. We can see that the equation has a slope and a y-intercept . Since parallel lines have equal slopes, this means that we know that the slope of the unknown parallel line is . Now let's use the point slope formula to find the equation of the parallel line by plugging in the slope and the coordinates of the given point . Start with the point slope formula Plug in , , and Rewrite as Distribute Multiply Subtract 2 from both sides. Combine like terms. Remove the trailing zero So the equation of the line parallel to that goes through the point is . Here's a graph to visually verify our answer: Graph of the original equation (red) and the parallel line (green) through the point . If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

absolute-value/339007: |2(5/3)-8|=|5/3+3| Is 5/3 the solution? 1 solutions Answer 243000 by jim_thompson5910(28696)   on 2010-09-04 23:17:52 (Show Source): You can put this solution on YOUR website! There are no variables. Is this a typo?

logarithm/339005: Express as an equivalent expressiion that is a difference of 2 logarithms... log3 29/13? 1 solutions Answer 242997 by jim_thompson5910(28696)   on 2010-09-04 22:52:58 (Show Source): You can put this solution on YOUR website! Using the identity to get If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Complex_Numbers/338994: Please help me solve this equation: sqrt of -288. I have done: sqrt -288=sqrt of -1 times 288=sqrt of -1 times sqrt of 288 1 solutions Answer 242996 by jim_thompson5910(28696)   on 2010-09-04 22:06:54 (Show Source): You can put this solution on YOUR website! So where If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Quadratic_Equations/338993: Hello, I have a question for you. A rectangular garden is 10ft longer than it is wide. Its area is 6375 ft^2. What are its dimensions? Its width equals _____________ feet and its length equals___________ feet. 1 solutions Answer 242995 by jim_thompson5910(28696)   on 2010-09-04 22:04:33 (Show Source): You can put this solution on YOUR website! "A rectangular garden is 10ft longer than it is wide. Its area is 6375 ft^2" means that Start with the given equation. Distribute. Subtract 6375 from both sides. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Square to get . Multiply to get Rewrite as Add to to get Multiply and to get . Take the square root of to get . or Break up the expression. or Combine like terms. or Simplify. So the possible solutions are or However, a negative length doesn't make sense. So ignore So the only solution is which means that the width is 75 ft and the length is 85 ft. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Graphs/338986: what is the period of 12sin(3x) 1 solutions Answer 242994 by jim_thompson5910(28696)   on 2010-09-04 21:41:22 (Show Source): You can put this solution on YOUR website! Hint: The period of is

Polynomials-and-rational-expressions/338984: (6x^2-31x+5)/(x-5) 1 solutions Answer 242992 by jim_thompson5910(28696)   on 2010-09-04 21:37:46 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get . Highlight the common terms. Cancel out the common terms. Simplify. So simplifies to . In other words, If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim

Quadratic_Equations/338980: I am trying to work out this problem as we speak, but I don't know how to figure out the solution part of the problem. Can someone help me out with tis by showing me the correct steps of working this out. Thanks in advance. 2x^2-2x-1=0 1 solutions Answer 242990 by jim_thompson5910(28696)   on 2010-09-04 21:09:29 (Show Source): You can put this solution on YOUR website! Start with the given equation. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Negate to get . Square to get . Multiply to get Rewrite as Add to to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) or Break up the expression. or Reduce. So the solutions are or If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website. Jim