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 Length-and-distance/718829: find the center and radius of the circle whose equation is 1 solutions Answer 441086 by solver91311(17077)   on 2013-02-25 18:12:44 (Show Source): You can put this solution on YOUR website! is the equation of a circle centered at with radius . To answer your question, it will be convenient to re-write your equation thusly: The answers you need are now available by inspection. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/718811: How do I solve 15x 2 +31x +2 using the ac method 1 solutions Answer 441077 by solver91311(17077)   on 2013-02-25 17:46:10 (Show Source): You can put this solution on YOUR website! You can't "solve" it because you have no relational operator, i.e. =, <, >, , or . I will then presume that you want to factor it. Multiply the lead coefficient by the constant term: 15 times 2 is 30. Perform the prime factorization of 30: 2 X 3 X 5. So the two-integer factors of 30 must be 6 X 5, 10 X 3, 15 X 2, or 30 X 1. Examine these pairs for a set that sums to the first degree term coefficient, i.e. 31. Looks like 30 and 1, right? Rewrite the 1st degree term as a pair of terms that sum to Factor by grouping: John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Complex_Numbers/718812: find the values of x and y that makes each equation true 2x+5i=-14-(20y)i1 solutions Answer 441070 by solver91311(17077)   on 2013-02-25 17:20:51 (Show Source): You can put this solution on YOUR website! Set the two real parts equal to each other, then solve for . Set the coefficients of the two imaginary parts equal to each other and then solve for John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Rate-of-work-word-problems/718810: a new photocopier works 4 times as fast as an old one. when the machines work together, a unicersity can produce all its staff manuals in 12 hr. find the time it would take each machine working alone to complete the job1 solutions Answer 441068 by solver91311(17077)   on 2013-02-25 17:18:20 (Show Source): You can put this solution on YOUR website! Let's say that it takes hours for the new machine to do the job by itself. Then it must take hours for the old machine by itself. Then we can say that the new machine can do of the job in one hour, and the old machine can do of the job in one hour. Since we know that it takes 12 hours for both machines working together, we know that the two machines working together can do of the job in one hour. All of that leads us to: Solve for , then calculate John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Travel_Word_Problems/717725: i ride my bike to the office at a rate of 12mph if i drive my car my rate is 36mph but my driving time is 1/4 times less than my time riding my bike how far is my office from my house? I've tried every d=rt way possible cannot get a decent answer im assuming because of the time conversion idk please help me out step by step so i can retrace my problem. thanks 1 solutions Answer 440457 by solver91311(17077)   on 2013-02-22 18:16:43 (Show Source): You can put this solution on YOUR website! Your problem doesn't make sense. How can you travel at only 3 times the speed but get there 4 times as fast? Impossible regardless of the distance traveled. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Functions/717708: A ball is dropped from a window that is 64 feet above the ground and the ball hits the ground after 2 seconds. If function H calculates the height of the ball after t seconds, determine the domain and range for H while the ball is falling1 solutions Answer 440456 by solver91311(17077)   on 2013-02-22 18:12:09 (Show Source): You can put this solution on YOUR website! The domain is 0 to 2 and the range is 64 to 0 John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 logarithm/717722: logb(x-3) = logb(x-2) = logb(3x-1)1 solutions Answer 440451 by solver91311(17077)   on 2013-02-22 17:56:27 (Show Source): You can put this solution on YOUR website! I think you meant one of those equal signs to be either a + or - sign. But I'm not going to try to guess which or what, so you will have to repost. And I mean repost. If you e-mail me, I might not see your reply until Monday or Tuesday. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Surface-area/717723: a swimming pool in the shape of a rectangular prism is 50 meter long 25 meter wide and 3 meter deep a liter is the same as 0.001 cubic meter how many liters of water are needed to completely fill the poll1 solutions Answer 440448 by solver91311(17077)   on 2013-02-22 17:53:25 (Show Source): You can put this solution on YOUR website! Length times Width times Depth times 1000 John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Linear-equations/717716: You want to fence in a rectangular area, but first you must determine the dimensions of the area. 1.Different pets need to have different areas. For example, a horse needs more space than a dog. Determine an area that is appropriate for your pet. 2.Define the shape of the rectangular area by establishing a relationship between the length and width of the rectangle. For example, L = 2W + 5, or W = 3L – 4. Be sure to include the appropriate units (inches, feet, yards, miles, or meters). 3.Using the fact that A = LW, together with the relationship defined in step 2, eliminate one of the variables to set up a quadratic equation. 4.Solve the quadratic equation using any of the techniques learned in this unit. The solution(s) will be one of the dimensions; use step 2 to find the other. 5.Now determine the perimeter so that you will know how much fencing to buy. 1 solutions Answer 440447 by solver91311(17077)   on 2013-02-22 17:52:18 (Show Source): You can put this solution on YOUR website! You do parts 1, 2, and 3 yourself. Then write back and I'll help you with the other parts. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Money_Word_Problems/717666: 1)You have already invested $450 in a stock with an annual return of 11%. How much of an additional$1,000 should be invested at 12% and how much at 6% so that the total return on the entire $1,450 is 9%? (Round each answer to the nearest cent.)1 solutions Answer 440439 by solver91311(17077) on 2013-02-22 17:20:34 (Show Source): You can put this solution on YOUR website! Solve for then calculate John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Triangles/717709: Use 1.7 as the value of square root of 3 what is the are od equilateral of triangle abc? The base is 12 miles 1 solutions Answer 440428 by solver91311(17077) on 2013-02-22 16:22:51 (Show Source): You can put this solution on YOUR website! Wjat is an "are od" ? John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  test/717700: Given the coordinates W(-7,-2) X(-2,5) Y(5,0) Z(0,-7) Prove that wxyz is a parallelogram find the slopes of each side. Is wxyz a special type of parallelogram? Explain1 solutions Answer 440427 by solver91311(17077) on 2013-02-22 16:19:43 (Show Source): You can put this solution on YOUR website! Use the slope formula to calculate the slopes of the four segments WX, XY, YZ, and ZW. where and are the coordinates of the given points. If the slope of WX is equal to the slope of YZ and the slope of XY is equal to the slope of ZW, then the opposite sides of the quadrilateral are parallel to each other and then by definition the quadrilateral is a parallelogram. If the slope of WX (and YZ, presuming a parallelogram) is the negative reciprocal of the slope of XY and/or ZW, then the adjacent sides are perpendicular and the quadrilateral is at least a rectangle. Use the distance formula to calculate the measure of segments WX and XY: If two adjacent sides are equal in measure, then given perpendicular adjacent sides the quadrilateral is a square and a rhombus. If not perpendicular adjacent sides then just a rhombus. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Travel_Word_Problems/717682: In order to make the 450-mile trip from Hudsonville to Chesterton, Morgana rode the bus. If the bus's average speed during the trip was 60 miles per hour, how long did the trip take A- 1 hour and 35 minutes B-3 hours and 10 minutes C- 6 hours and 55 minutes D- 7 hours and 30 minutes E- 13 hours and 50 minutes1 solutions Answer 440401 by solver91311(17077) on 2013-02-22 14:57:12 (Show Source): You can put this solution on YOUR website! Time is equal to Distance divided by Rate. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Money_Word_Problems/717698: If u make 1400 annually how much is that monthly1 solutions Answer 440399 by solver91311(17077) on 2013-02-22 14:53:09 (Show Source): You can put this solution on YOUR website! Divide 1400 by 12. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Travel_Word_Problems/717699: Avarage tub bath use 8gallons of water. An avarge shower use 6 gallons. To provide bathes for 60 people. How much more water will be needed if tubs used instead of shower?1 solutions Answer 440398 by solver91311(17077) on 2013-02-22 14:52:27 (Show Source): You can put this solution on YOUR website! Subtract 6 from 8. Multiply the result by 60. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Travel_Word_Problems/717679: In order to make the 450-mile trip from Hudsonville to Chesterton, Morgana rode the bus. If the bus's average speed during the trip was 60 miles per hour, how long did the trip take1 solutions Answer 440391 by solver91311(17077) on 2013-02-22 13:38:38 (Show Source): You can put this solution on YOUR website! Time equals distance divided by rate. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Geometry_proofs/717668: Does the relation "is greater than" have a property of reflexive, symmetric or transitive property? 1 solutions Answer 440390 by solver91311(17077) on 2013-02-22 13:37:50 (Show Source): You can put this solution on YOUR website! is absurd, so reflexivity does not apply to "is greater than" does not imply So "is greater than" does not have symmetry But transitivity does apply: If and , then John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Numeric_Fractions/717673: Can you please help me solve for v in the following problem: -1/5+7/4v=-2/31 solutions Answer 440389 by solver91311(17077) on 2013-02-22 13:31:49 (Show Source): You can put this solution on YOUR website! Yes, but the solution depends on whether the variable is in the denominator of the second fraction or not. Use parentheses when you re-post this problem so that we don't have to guess what you mean. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Linear_Equations_And_Systems_Word_Problems/717669: Verbal and writing Skills, Exercises. Explain when to use a solid line as a boundary when graphing a linear inequality.1 solutions Answer 440388 by solver91311(17077) on 2013-02-22 13:30:18 (Show Source): You can put this solution on YOUR website! Use a solid line as a boundary line when the inequality is inclusive of equals. This indicates that the points on the boundary line are included in the solution set of the inequality. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Percentage-and-ratio-word-problems/717671: Price$500 Discount 25% I need the discount and the sale price. 1 solutions Answer 440387 by solver91311(17077)   on 2013-02-22 13:28:32 (Show Source): You can put this solution on YOUR website! Multiply the regular price by the discount percentage (change the percent to a decimal first), then subtract the amount of the discount from the regular price. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Percentage-and-ratio-word-problems/717654: What is the total charge of a $29.66 purchase with a 8.25% sales tax?1 solutions Answer 440386 by solver91311(17077) on 2013-02-22 13:26:39 (Show Source): You can put this solution on YOUR website! Multiply the purchase price times 1.0825. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Linear_Equations_And_Systems_Word_Problems/717670: When graphing y<-6, should the region below the line y=-6 be shaded or should the region above the line y=-6 be shaded?1 solutions Answer 440385 by solver91311(17077) on 2013-02-22 13:24:49 (Show Source): You can put this solution on YOUR website! Since the boundary line does not go through the origin, use the origin, (0,0), as a test point. Substitute the coordinates of the test point into your original inequality. In this case, you would write 0 < -6. If that is a true statement, shade in the side of the line that CONTAINS the test point. If it is not a true statement, shade in the side of the line that does NOT CONTAIN the test point. In the event you are trying to evaluate where to shade a graph where the boundary line does pass through the origin, pick some other point that is NOT on the boundary line. I recommend something with small integer coefficients. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  Travel_Word_Problems/717667: Two vehicles start moving towards each other from cities Y and F with constant speed and they meet 5 hours later. If the distance between two cities is 750 miles, what is the minimum speed of the faster vehicle in miles per hour?1 solutions Answer 440383 by solver91311(17077) on 2013-02-22 13:03:42 (Show Source): You can put this solution on YOUR website! In order to cover 750 miles in 5 hours, the sum of the two vehicles' speeds must be 150 miles per hour. Presuming there is a "faster" vehicle, then the two vehicles cannot be traveling at the same speed and the faster one has to be traveling at more than half of the required 150 mph. The faster vehicle has to be going more than 75 miles per hour. The problem with the question as it is worded is that you cannot exactly specify a "minimum" speed for the faster car. That is because no matter how close to 75 mph that you pick a speed, so long as it is larger than 75, I can find a number even closer that is still larger, and then you could find one closer still...and so on ad infinitum. For example, let's say you claim the minimum speed to be 75.1 mph. Then I claim that it is actually 75.01 mph, to which you respond, "no it is 75.001". We could go on like that forever. Further, you cannot solve the problem by claiming that 75 mph is the minimum speed because that would mean that both vehicles would be going the same speed and there would not be a "faster" vehicle. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it  percentage/717661: If I am being charged an 8.29% discount by my credit card processing company, how do I calculate the total amount I should charge a client, so that after the 8.29% discount, the net result is the number I want? i.e., if my bill is$1,000, and my credit card company charges an 8.29% discount, what gross amount do I have to charge to net $1,000? Thank you sooo much for your help!1 solutions Answer 440382 by solver91311(17077) on 2013-02-22 12:50:26 (Show Source): You can put this solution on YOUR website! You are going to charge the customer dollars and the credit card processor is going to take away from that amount. You want the net to be$1000. So: Which is to say: Are you asking this to answer a math class problem or are you really running a business? I only ask because if you are really running a business and your credit processor is charging you 8 and a third percent, you need to find a new credit card processor. Even if you are keying in the number (as opposed to swiping the card) and your transactions are non-qualified you shouldn't be paying more than 4.5%. If you are swiping and the transactions are qualified, it should be more in the range of 1.5 to 2%. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Graphs/717650: find the slope, if possible ,of the line passing through each pair of points. (2, -1) and (6, 3) 1 solutions Answer 440371 by solver91311(17077)   on 2013-02-22 12:14:01 (Show Source): You can put this solution on YOUR website! The two -coordinates are not equal, hence it is possible to calculate the slope. Use the slope formula: where and are the coordinates of the given points. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/717647: The perimeter of a rectangle is 22cm. The legth of the rectangle is 1 m less than 3 times the width. Find the legth and width.1 solutions Answer 440369 by solver91311(17077)   on 2013-02-22 11:58:33 (Show Source): You can put this solution on YOUR website! How can you have a length that is a meter less than 3 times the width while having a perimeter that is only 22 centimeters while having non-negative dimensions? Pay attention to what you are writing. Carefully review and correct any mistakes in your post BEFORE you hit the send button. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Linear-equations/717646: write each equation in slope-intercept form. Then identify the slope and the y-intercept for each line. 2x-y=121 solutions Answer 440368 by solver91311(17077)   on 2013-02-22 11:55:42 (Show Source): You can put this solution on YOUR website! Add to both sides. Multiply both sides by Then the slope will be the coefficient on and the constant term will be the -coordinate of the -intercept; the -coordinate of the -intercept is always zero. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 expressions/717640: Please solve: how do I enter a power at symbol on my computer? my algebra problem is: bc - a to the power of 2 That is the only way I know to type the problem. Can you help me with typing in the problem and find an answer to this problem?1 solutions Answer 440367 by solver91311(17077)   on 2013-02-22 11:52:11 (Show Source): You can put this solution on YOUR website! x^2 means . The caret mark ("^") is made with Shift-6. There is nothing that can be done with without additional information. Exactly what is the question asked? See Formatting Math as Text for more information on communicating mathematics intelligibly using plain text. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/717634: "the sum of two positive even integers is less than 37. if each of them is greater than 14, find the numbers."1 solutions Answer 440366 by solver91311(17077)   on 2013-02-22 11:45:29 (Show Source): You can put this solution on YOUR website! Nothing says the two numbers have to be different, so it could be 16 and 16, 16 and 18, 16 and 20, or 18 and 18. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Linear-equations/717638: Write an equation of the line with the given slope and the given y-intercept. Leave the answer in slope-intercept form. slope -2/3, y-intercept (0,5)1 solutions Answer 440365 by solver91311(17077)   on 2013-02-22 11:30:42 (Show Source): You can put this solution on YOUR website! Slope-intercept form is where is the slope and is the -coordinate of the -intercept. Just plug in your given numbers. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it
 Rational-functions/717624: What is the maximum value of f(x) = 3- (x+2)^21 solutions Answer 440364 by solver91311(17077)   on 2013-02-22 10:55:13 (Show Source): You can put this solution on YOUR website! Re-arrange it so that it is in correct vertex form: Now, knowing the negative lead coefficient indicates that the parabola opens downward, a parabola with the equation has a vertex at , and that the -coordinate of the vertex of a parabola is the extreme value of the function, you can read the maximum value of your parabola directly. John Egw to Beta kai to Sigma My calculator said it, I believe it, that settles it