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# Recent problems solved by 'solver91311'

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 logarithm/341459: Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this. log x = 2.5 1 solutions Answer 244496 by solver91311(16868)   on 2010-09-10 14:19:13 (Show Source): You can put this solution on YOUR website! Use the definition of logarithms and the presumption that an unspecified base means base 10. So: I'll leave you alone to spend some quality time with your calculator. John My calculator said it, I believe it, that settles it
 Conjunction/341454: What is the truth value for p ^ q?1 solutions Answer 244495 by solver91311(16868)   on 2010-09-10 14:11:25 (Show Source): You can put this solution on YOUR website! represents logical conjunction. Therefore is only true when both p is true and q is true. Just put in the appropriate truth values under the column John My calculator said it, I believe it, that settles it
 Evaluation_Word_Problems/341424: 1. how many ways can a jury of 9 men and 3 women be selected from 15 men and 11 women?1 solutions Answer 244494 by solver91311(16868)   on 2010-09-10 14:04:44 (Show Source): You can put this solution on YOUR website! Calculate: Where is the number of combinations of things taken at a time and is calculated by John My calculator said it, I believe it, that settles it
 test/341437: Can you please help find what the LCM of is. I am getting frustrated. :D x^2 + 8x + 16 and x^2 + 2x -8 Thanks1 solutions Answer 244484 by solver91311(16868)   on 2010-09-10 13:25:14 (Show Source): You can put this solution on YOUR website! Are you sure you want the LCM? As near as I can tell these two expressions have no common multiple -- ever. Now if you wanted the GCF, I can do that. John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/341426: A small magazine publisher wants to determine the best combination of two possible magazines to print for the month of July. Backyard magazine, which he has published for years, is a steady seller. The publisher wants to make sure he prints at least 400 copies to meet his demand from the newstands. Porch is a new venture and has received the benefit of a great deal of advance publicity. The publisher is hoping that by positioning it near Backyard, he will pick up some spillover demand from his regular readers. Also, he is hoping that the advertising campaign will bring in a new type of reader from a potentially very lucrative market. He wants to print at least 300 copies of Porch. The cover price for backyard is $3.50; he is pricing Porch at$4.50 because other magazines in this market seem to be able to command this type of higher price. The publisher has 36 hours of printing time available for this production run. He also has 30 hours in the collation department, where the magazines are actually assembled. Each Backyard requires zines are actually assembled. Each Backyard requires 2.5 minutes per copy to print and 1.8 minutes per copy to collate. Each Porch requires 2 minutes to print and 2 minutes to collate. How many of each magazine should the publisher print to maximize his revenue?1 solutions Answer 244477 by solver91311(16868)   on 2010-09-10 12:49:11 (Show Source): You can put this solution on YOUR website! You want to maximize the objective function subject to: Write back and negotiate a price for a full solution. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/341421: The probability that a certain region in Mexico will be hit by a hurricane in any given year is 0.07. What is the probability that the region will be hit by at least one hurricane in the next 14 years?1 solutions Answer 244471 by solver91311(16868)   on 2010-09-10 12:37:26 (Show Source): You can put this solution on YOUR website! The probability of successes in trials where is the probability of success on any given trial is given by: Where is the number of combinations of things taken at a time and is calculated by Here you want to consider the probability over 14 trials where the probability of success (yes, in this context getting hit by a hurricane would be considered a 'success') is 0.07. The calculation outlined above gives the probability for a specific number of successes. Where you have situation such as in this problem where you are asked for the probability of "at least" some number, then you have to consider the probability of that number, plus the probability of one more, plus the probability of one more than that...up to the probability of success on every trial. Symbolically, here is what you would need: I'm sure you will agree that is uglier than a mud fence, and you may take it on faith that calculating such a thing has all of the entertainment value of watching paint dry. But fear not! There is a simpler way. The only possibility other than getting hit by at least one is to get hit by none at all! That means the probability of getting hit by at least one PLUS the probability of getting hit by none at all is equal to 1. In other words: And here is the 'so what': And since and , the above reduces to: I'll leave you alone to spend a little quality time with your calculator. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/341419: If a cyclist takes 4 hours to travel 48 miles, what is the cyclist’s average speed in miles per hour?1 solutions Answer 244470 by solver91311(16868)   on 2010-09-10 12:14:24 (Show Source): You can put this solution on YOUR website! Divide the distance traveled in length units by the amount of time in time units to get the average speed in lengths per unit time. John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/341420: What is the sum of the first 750 consecutive odd numbers? 1 solutions Answer 244468 by solver91311(16868)   on 2010-09-10 12:12:46 (Show Source): You can put this solution on YOUR website! The first odd number is 1 The odd number is Therefore the 750th odd number is The sum of a series of numbers is given by the first plus the last times the number of numbers divided by 2. You can do your own arithmetic. John My calculator said it, I believe it, that settles it
 Points-lines-and-rays/341120: Given that B is between A and C, solve for x and find the missing measurements: AB = 4, BC = 10x-2, AC= (x+9)4 Please explain how to do these types of problems I'm very confused.1 solutions Answer 244246 by solver91311(16868)   on 2010-09-09 18:13:41 (Show Source): You can put this solution on YOUR website! If A, B, and C are collinear points and B is between A and C, then the measure of the the segment AB plus the measure of the segment BC is equal to the measure of the segment AC. Hence: Solve for and then substitute back into the expressions for the measurements. John My calculator said it, I believe it, that settles it
 Angles/341119: congruent and supplementary angles each have a measure of 90. Is that right?1 solutions Answer 244245 by solver91311(16868)   on 2010-09-09 18:10:22 (Show Source): You can put this solution on YOUR website! No. The sum of the measure of an angle and the measure of its complement is . The sum of the measure of an angle and the measure of its supplement is . Angles that are congruent have the same measure. John My calculator said it, I believe it, that settles it
 Equations/341113: graph a linear equation for the following: X - 2y = 6 plot at least 5 points in a graph for it. PS...everything from me is involving algebra equations. i think i forgot to assign the topic algebra to one of my questions. thank you1 solutions Answer 244243 by solver91311(16868)   on 2010-09-09 18:06:58 (Show Source): You can put this solution on YOUR website! Step 1. Pick a value for x. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier. Step 2. Substitute that value in place of x in your equation. Do the arithmetic and determine the value of y that results. Step 3. Take the value of x that you selected for step 1 and the value of y that you calculated in step 2 and form an ordered pair (x, y). Step 4. Plot the ordered pair from Step 3 on your graph. Remember that the x value is the distance right or left along the horizontal axis and the y value is the distance up or down along the vertical axis. Step 5. Repeat steps 1 through 4 with a different values for x each of four times. Step 6. Draw a line across your graph that passes through the five points that you plotted. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/341111: a man that travels 63 kph travels 126 kilometers in 2 hours?1 solutions Answer 244242 by solver91311(16868)   on 2010-09-09 18:01:23 (Show Source): You can put this solution on YOUR website! Yep. That's why they call it "kilometers per hour" -- because you go that many kilometers every hour you travel at that speed. So in the first hour, he managed to travel 63 kilometers and in the second hour he managed and additional 63 kilometers, and 63 + 63 is equal to 2 times 63 is equal to 126. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/341110: use the equation to find the missing coordinates in the following table. y = -x + 4 this table has two sides: X and Y -2 0 2 0 -2 (the -2, 0 and 2 are under X and the 0 and -2 are a line below the two on the left but under the Y side. if that makes sense 1 solutions Answer 244240 by solver91311(16868)   on 2010-09-09 17:58:30 (Show Source): You can put this solution on YOUR website! Take the values under the one at a time and replace the in the equation with the value. Then do the arithmetic to calculate . Then take the values under the one at a time and replace the in the equation with the value. Then do the arithmetic to calculate . John My calculator said it, I believe it, that settles it
 Percentage-and-ratio-word-problems/341107: My car gets 10-14 miles per gallon. How many miles can I go on a 25 gallon tank of gas. Use a compound inequality to solve1 solutions Answer 244238 by solver91311(16868)   on 2010-09-09 17:56:04 (Show Source): You can put this solution on YOUR website! John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/340967: a man has 14 coins all of which are dimes and quarters. if the total value of his change is $2.75, how many of each coins does he have1 solutions Answer 244201 by solver91311(16868) on 2010-09-09 13:53:33 (Show Source): You can put this solution on YOUR website!Why did you ask this same question twice?  Trigonometry-basics/340965: Find the exact value of sin(-pi/6) a. -1/2 d. -sqrt3/2 c. -sqrt2/2 d. 21 solutions Answer 244200 by solver91311(16868) on 2010-09-09 13:49:43 (Show Source): You can put this solution on YOUR website! Recalling that and that the sine function is given by the -coordinate on the unit circle, look up your value on the unit circle. John My calculator said it, I believe it, that settles it  test/340943: Hi I just want to make sure I got the correct answer in finding there was no solution found in this problem. x - 6 = x^2+36 __ ___ ______ x+6 x-6 x^2-36 The solution is x= No Solution is this correct? Thanks for your help :o)1 solutions Answer 244199 by solver91311(16868) on 2010-09-09 13:46:15 (Show Source): You can put this solution on YOUR website! Absolutely correct. The solution set is the empty set, If you solve the problem by ordinary methods you obtain the solution . However, that solution must be discarded because it causes two of the three denominators to go to zero. John My calculator said it, I believe it, that settles it  logarithm/340947: If the logs of two numbers are 1.7 and 2.0, by what factor do they differ? What are the two numbers?1 solutions Answer 244196 by solver91311(16868) on 2010-09-09 13:24:58 (Show Source): You can put this solution on YOUR website! That depends. What base? If you mean base 10, then they differ by roughly one-half. and That's why a 0.3 increase in the Richter scale number means the earthquake was twice as big. John My calculator said it, I believe it, that settles it  Evaluation_Word_Problems/340938: Patrick won a 300 miles race. At one point, Patrick was 20 miles closer to the finish than the start. How far had Patrick traveled at the point?1 solutions Answer 244191 by solver91311(16868) on 2010-09-09 13:08:39 (Show Source): You can put this solution on YOUR website! Let represent the distance from the start. Then represents the distance to the finish. Solve for . John My calculator said it, I believe it, that settles it  Functions/340924: f(x)=sqrt(x+1/x-5) the domain is (-infinity,-1)u(5,infinity) does the inequality sign on the top of the fraction point the opposit way. When solving I started out with x+1>or equal to 0 and x-5>or equal to 0 so my answer was (-1,5)u(5,infinity) where did I go wrong? Are all functions able to be solved to discover their domain or is it a guessing game?1 solutions Answer 244189 by solver91311(16868) on 2010-09-09 13:05:32 (Show Source): You can put this solution on YOUR website! You have a function that involves both a radical with an even index (square root in this case) and a rational function (one expression divided by another). You must restrict your domain such that the expression under the radical is greater than or equal to zero and you must also restrict it so that the denominator of the rational expression does not equal zero. Restricting the denominator of the rational part of your function is simple in this case. You simply cannot let the value of your independent variable, (), be equal to 5. Restricting the radicand to zero or positive is a bit more complex. Note that if both denominator and numerator are negative, so the entire rational expression is positive. If , then the rational expression equals zero. If but , the denominator is positive but the numerator remains negative making the entire rational expression negative. This becomes the interval that must be restricted on the basis of maintaining a positive or zero radicand. If then the denominator of the rational expression becomes zero, hence this value must be restricted from the domain. If then both numerator and denominator of the rational expression are positive, and the entire radicand is positive. In summary, the domain is -1 or anything smaller and anything larger than 5. Hence, in interval notation: (,] Notice the bracket vice parentheses on the -1 end of the first interval. That includes the -1 endpoint as opposed to use of the parentheses on the 5 end of the second interval where we want to exclude the endpoint 5. John My calculator said it, I believe it, that settles it  Equations/340925: How do you solve number 19 on page 38 in mcdougal littell 2004? 1 solutions Answer 244184 by solver91311(16868) on 2010-09-09 12:39:37 (Show Source): You can put this solution on YOUR website! What makes you think anyone out here has your book? Write out the entire problem. Write out what you have already tried. Tell us what you don't understand. Of course, I wouldn't have to tell you all of this had you simply read, understood, and followed the instructions for posting questions on this site. John My calculator said it, I believe it, that settles it  Age_Word_Problems/340923: Marla is five years younger than her friend Carey. Five years ago the sum of their ages was 41. How old is each of them now?1 solutions Answer 244183 by solver91311(16868) on 2010-09-09 12:36:30 (Show Source): You can put this solution on YOUR website! Let represent Carey's age now. Then must represent Marla's age now. 5 years ago, Carey was years old and Marla was years old. So: Solve for to get Carey's age now. John My calculator said it, I believe it, that settles it  Trigonometry-basics/340898: What is the angle when cot theta = -1 ? The book has the answer, I just need to know how to do it. Thanks.1 solutions Answer 244181 by solver91311(16868) on 2010-09-09 12:32:27 (Show Source): You can put this solution on YOUR website! So, in order for , Look at the unit circle and find the two places where But you didn't restrict your solution to any particular set of angles, so your complete answer is: or which can be simplified to: where John My calculator said it, I believe it, that settles it  Evaluation_Word_Problems/340920: a frame maker made a large picture frame using 10 feet of frame molding. If the length of the finished frame was 2 feet more than the width, then what were the dimensions of the frame?1 solutions Answer 244178 by solver91311(16868) on 2010-09-09 12:22:47 (Show Source): You can put this solution on YOUR website! Let represent the measure of the width. Then represents the measure of the length. Solve for . John My calculator said it, I believe it, that settles it  Quadratic_Equations/340916: Use complete sentences to explain how you would use graphing technology to find the solutions of 0 = −x^2 + 2.5x + 1. What do the solutions of 0 = −x2 + 2.5^x + 1 represent on the graph of the equation?1 solutions Answer 244177 by solver91311(16868) on 2010-09-09 12:19:33 (Show Source): You can put this solution on YOUR website! René Descartes started with "I think, therefore I am." While quite short, that is a complete sentence. The values of that make the equation a true statement are the -coordinates of the points where the graph of the analogous quadratic function intersect the -axis, if any exist. In this case, since the signs on the lead coefficient and the constant term are opposite, you are guaranteed that the graph of the function will intersect the -axis in two distinct points, and therefore the equation will have two distinct real roots. John My calculator said it, I believe it, that settles it  Quadratic_Equations/340918: what will be the perimeter of a quadrilateral if one sideis55cm,50cm,12cm abis parallel to cd1 solutions Answer 244176 by solver91311(16868) on 2010-09-09 12:13:57 (Show Source): You can put this solution on YOUR website! Since you didn't bother to tell us how the inappropriately named vertices (you should have used upper case) relate to the measured segments, we can't tell how your quadrilateral is arranged -- hence we can't answer your question. John My calculator said it, I believe it, that settles it  Angles/340905: find measure "a" and "b" if they are complementary. measure a is 5x+8 measure b is x+41 solutions Answer 244175 by solver91311(16868) on 2010-09-09 12:11:02 (Show Source): You can put this solution on YOUR website! so Solve for , then substitute back into the expressions for and . John My calculator said it, I believe it, that settles it  Number-Line/340915: How do a represent this set of numbers on a number line: {x l x=.5 E N}?1 solutions Answer 244174 by solver91311(16868) on 2010-09-09 12:05:07 (Show Source): You can put this solution on YOUR website! Are you trying to say: Because that makes no sense whatsoever. Now if you meant: Then the answer is the empty set because John My calculator said it, I believe it, that settles it  Word_Problems_With_Coins/340782: Janie has 10 coins. She needs to make$2.25 using only quarters, dimes and nickels. She has to use all the coins. Please help!!!1 solutions Answer 244112 by solver91311(16868)   on 2010-09-08 22:50:27 (Show Source): You can put this solution on YOUR website! Can't be done. 9 quarters is $2.25, but that is only 9 coins. 8 quarters is$2.00, plus 2 dimes and a nickel makes $2.25, but that is 11 coins or 8 quarters plus 2 dimes is 10 coins, but is only$2.20. 7 quarters is $1.75 plus 3 dimes is 10 coins but only worth$2.05 Fewer quarters makes it worse. John My calculator said it, I believe it, that settles it
 Polygons/340674: I have an 8 sided figure that is 146 inches in diameter. Assuming all the sides are equal in length, was is the length of one of the sides? And what is the basic area (It's a gazebo and I'm trying to figure out what will fit in it!) Thank you.1 solutions Answer 244073 by solver91311(16868)   on 2010-09-08 20:40:00 (Show Source): You can put this solution on YOUR website! That depends. Did you measure the "diameter" from vertex to vertex, or from the middle of one of the sides to the other side? Presuming 146 is the diameter of the circumcircle (circle around the outside, touching all the vertices): inches square inches which is to say approximately square feet. If you meant the other way, write back and I'll work that out for you. John My calculator said it, I believe it, that settles it
 Angles/340668: if an angle is acute, then its complement must be great than its supplement. true or false?1 solutions Answer 244055 by solver91311(16868)   on 2010-09-08 20:12:23 (Show Source): You can put this solution on YOUR website! An angle has to be acute in order to have a complement in the first place. The measure of an angle plus the measure of its complement is . The measure of an angle plus the measure of its supplement is John My calculator said it, I believe it, that settles it