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solver91311 answered: 17063 problems
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Circles/233017: the radius is 7.5 what is the diameter and the circumference 1 solutions Answer 172067 by solver91311(17077)   on 2009-10-29 19:29:00 (Show Source): You can put this solution on YOUR website! The diameter of a circle is 2 times the radius, and the circumference is the diameter times John

Inequalities/233011: If 2 six-sided dice are tossed, what is the probabilty that the sum of the numbers will be greater than 10? A 7/36 B 1/5 C 29/36 D 5/6 1 solutions Answer 172066 by solver91311(17077)   on 2009-10-29 19:27:15 (Show Source): You can put this solution on YOUR website! There are 36 possible outcomes when rolling a pair of 6-sided dice. There are 2 ways to make 11 and one way to make 12. That is a total of 3 successful outcomes if success is defined as a result greater than 10. I know that answer is not one of your choices, but I can't help that. You can't bend the laws of probability to fit a set of four incorrect answers. John

Roman-numerals/232998: how do you write 6762 in roman letters? thanks 1 solutions Answer 172064 by solver91311(17077)   on 2009-10-29 19:17:47 (Show Source): You can put this solution on YOUR website! That depends. A Roman wishing to express that quantity might well have written MMMMMMDCCLXII, whereas a more modern writer might express it as (V)MDCCLXII or John

Graphs/232975: Help me to understand how to work this problem. f(x) =2x2 at x = 1 The question: find the derivative of the function and evaluate the derivative at the given x value. 1 solutions Answer 172060 by solver91311(17077)   on 2009-10-29 19:00:19 (Show Source): You can put this solution on YOUR website! First apply the constant multiple rule: so Given we can say: Next apply the power rule: So: And finally, to evaluate the first derivative at x = 1: therefore John

Numbers_Word_Problems/232959: The number of candy in the jar is a 3 digit number. The sum of the digits is odd. When you divide the number by 2 you have a remainer of 1. When you divide the number by 10 you have a remainder of 3. The sum of the units digits and the tens digit is 1 less than the hundredths digit. The units digit is half the sum of the hundredths digit and the tens digit. 1 solutions Answer 172051 by solver91311(17077)   on 2009-10-29 18:10:56 (Show Source): You can put this solution on YOUR website! The fact that the sum of the digits is odd and that when you divide the number by 2 the remainder is 1 are both fascinating facts but are not particularly useful in solving the problem. The fact integer division by 10 has a remainder of 3 guarantees that the last or units digit is 3. Let represent the tens digit, and let represent the hundreds digit. The sum of the units digit and the tens digit, is (meaning equals) one less than the hundreds digit. , so: Add 1 to both sides: The units digit is half the sum of the hundreds (you said hundredths digit, but there cannot be a hundreths digit because dividing the 3 digit number by 10 resulted in an integer, not a decimal fraction.) digit and the tens digit. Substitute the expression developed for : Solve for and then use that value to solve for Then you can reassemble the number by placing the digits in the proper order. John

Exponents/232871: Write exponential notation (-5)^ - 3 .5 36 + 4 . l6 - 7l . (-1)^5 Also need help on this one: Simplify, assume that no denoninator is 0^0 is not considered (a^8b^3)(a^4b) And then this last one: Express using positive exponents then simplify if possible 10a -1 b-7c-3 1 solutions Answer 171971 by solver91311(17077)   on 2009-10-29 12:50:11 (Show Source): You can put this solution on YOUR website! Sorry pal. Not going to do your entire assignment for you. John

Miscellaneous_Word_Problems/232743: I am currently without a book and some of these are still questionable to me. Anyone disagree? I makred my answers with the x. I have seen a similar test but nothing was solved that I found 1. The terms of a loan indicate how often interest is compounded. (Points: 2) xTrue False 2. A compound interest table shows the compounded amount per dollar of principal. (Points: 2) True xFalse 3. To compound daily means to compound 360 times a year. (Points: 2) True xFalse 4. The number of compounding periods for $6,600.00 at 12% compounded quarterly for 15 years is 30 periods. (Points: 2) True xFalse 5. The effective rate of a transaction can be calculated by dividing the interest for one year by the principal. (Points: 2) xTrue False 6. The term "nominal rate" means the same as "true rate." (Points: 2) True xFalse 7. The interest on $4,200.00 at 8% compounded semiannually for 10 years is $6,292.40. (Points: 2) True xFalse 8. The effective rate is: (Points: 2) the stated rate the nominal rate the true semiannual rate the true annual rate x none of the above 9. $15,000.00 for 10 years compounded at 10% quarterly results in how many periods? (Points: 2) 120 20 10 x40 none of the above 10. In a loan of 8% compounded quarterly, what is the periodic interest (Points: 2) x 2.5% 6% 2% 4% 11. $25,000.00 for 15 years compounded at 10% quarterly results in a periodic interest rate of: (Points: 2) 10% x7% 5% 2.5% none of the above 12. The effective rate is: (Points: 2) xthe interest for one year divided by the principal the interest for one year divided by the principal for three years the interest for one year divided by the annual rate never related to the compound table none of the above 13. Josh is having difficulty deciding whether to put his savings in the Mercantile Bank or the Boatmen's Bank. Mercantile offers a 10% rate compounded quarterly while Boatmen's offers 12% compounded semiannually. Josh has $40,000.00 to invest and expects to withdraw the money at the end of 5 years. (Use Table 10-1 from the textbook.) The best deal is: (Points: 2) xMercantile Bank Mercantile Bank for the last two years Boatmen's Bank for the first two years Boatmen's Bank none of the above 14. Don deposited $27,500.00 in Trader's Bank at an interest rate of 12% compounded quarterly. (Use Table 10-1 from the textbook.) The effective rate was: (Points: 2) 12.55% 12% x13% 14.0% none of the above 15. Lisa wants to attend the University of Colorado. She will need to have $80,000.00 five years from today. Lisa is wondering what she will have to put in the bank today so she will have $80,000.00 in five years. Her bank pays 10% compounded quarterly. By using Table 10-3 in the textbook, the amount Lisa will need to deposit is: (Points: 2) $48,281.68 $49,113.60 $48,821.60 x$49,113.06 none of the above 1 solutions Answer 171913 by solver91311(17077)   on 2009-10-28 23:12:45 (Show Source): You can put this solution on YOUR website! Nope. Not going to do your entire homework assignment (or test) for you. John

Graphs/232763: Describe what the graph of interval [-4, 10] looks like, I'm not sure what they want to know on this one thankyou bettemid920 1 solutions Answer 171912 by solver91311(17077)   on 2009-10-28 23:09:03 (Show Source): You can put this solution on YOUR website! A number line. Filled in dot at -4. Filled in dot at 10. Heavy line connecting the two dots. The dots are filled in because there are square brackets on each end of the interval meaning the endpoints are included. Contrast this with parentheses on the end of the interval which excludes the end point, and the graph would be an open circle rather than a filled in dot. John

Triangles/232760: A triangle has a perimeter that is 47 cm. If side A is 3 less than twice the length of side B and side C is twice side A, what is the length of each side? 1 solutions Answer 171909 by solver91311(17077)   on 2009-10-28 23:06:05 (Show Source): You can put this solution on YOUR website! Let represent the measure of side B. Then the measure of side A is , and the measure of side C is . The perimeter is the sum of the measures of the sides: Solve for to get side B and then calculate the other two sides from that. John

Polynomials-and-rational-expressions/232687: Solving polynominals. I am not understanding 25x2  16y2 ksdesiree@yahoo.com 1 solutions Answer 171907 by solver91311(17077)   on 2009-10-28 22:56:55 (Show Source): You can put this solution on YOUR website! Nothing here to solve or simplify. What is it you are supposed to do with these perfect square monomial terms? John

Inequalities/232683: The rope Roz brought with her camping gear is 54 inches long. Roz needs to cut shorter pieces of rope that are each 18 inches long. What are the possible number pieces Roz can cut?? 1 solutions Answer 171890 by solver91311(17077)   on 2009-10-28 20:16:34 (Show Source): You can put this solution on YOUR website! Divide 54 by 18

percentage/232616: My teacher in advanced algebra doesn't really have time to answer my questions because i have her for my 7th period. My question is, In a catalog, a jacket was marked down from $75 to $48. What is the percent of change? Is this an increase or a decrease? 1 solutions Answer 171856 by solver91311(17077)   on 2009-10-28 18:29:32 (Show Source): You can put this solution on YOUR website! Your teacher in advanced algebra has a fiduciary responsibility to answer your questions. She receives a salary to teach you, and teaching you includes answering your questions -- no matter how long it takes. If she really is telling you that she doesn't have time to answer your questions, then she is defrauding you, your parents who pay property taxes to fund her salary, and the school system that employs her. But it is your responsibility to call her on it. After all, you are the one who is not getting the education for which you are paying. Or did you just make up this stuff about her not having time just to try to improve your chances of getting a homework problem done for you? If the real story is that you can't be bothered to stick around after 7th period to listen to the answers, then you aren't going to get much sympathy here. The formula for percent change is: where and are the first and second given values respectively. Plug in the numbers and do the arithmetic. And are you serious that you don't know whether a mark-down is an increase or a decrease? If that is true, please stop wasting time in an advanced algebra class for which you are clearly not prepared. John

Quadratic_Equations/232614: Solve using the Quadratic Formula. (7/8)x^2 - (3/4)x + (5/16) = 0 1 solutions Answer 171839 by solver91311(17077)   on 2009-10-28 17:56:22 (Show Source): You can put this solution on YOUR website! You can do your own arithmetic on this Halloween horror. I take it your instructor doesn't like you very much. John

Triangles/232609: how do you find the circumcenter of an obtuse triangle 1 solutions Answer 171835 by solver91311(17077)   on 2009-10-28 17:47:41 (Show Source): You can put this solution on YOUR website! Construct the perpendicular bisector of each of the sides. The point of intersection of the three bisectors is the circumcenter. It doesn't matter whether the triangle is obtuse or acute -- this works for all triangles. If your triangle is defined on the coordinate plane, first use the slope formula to determine the slope of the lines containing two of the side segments. Then use the mid-point formulas to determine the mid-points of the same two sides. With the negative reciprocal of the slope and the mid-point, use the point-slope form of the equation of a line to derive the equation of the perpendicular bisector to each of the two sides. Once you have two equations for two of the perpendicular bisectors, solve the system of equations. The solution set of the system of equations will be the ordered pair representing the circumcenter. Again, it doesn't matter whether the triangle is obtuse or not. John

Probability-and-statistics/232598: Find the probability of getting a prime number when two dice are rolled and the sum is observed. 1 solutions Answer 171834 by solver91311(17077)   on 2009-10-28 17:36:01 (Show Source): You can put this solution on YOUR website! Presuming two fair, 6-sided dice, each numbered 1 through 6: You can achieve one of the following results on any given roll: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. But there is only 1 way to get a 2, 2 ways to get a 3, 3 ways to get a 4, up to 6 ways to get a 7, then 5 ways to get 8, and so on. Total is 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 36 possible outcomes. The prime numbers from 2 through 12 inclusive are: 2, 3, 5, 7, and 11. There is 1 way to get a 2, 2 ways for a 3, 4 ways for a 5, 6 ways for a 7 and 2 ways for 11. Total of 1 + 2 + 4 + 6 + 2 = 15 successful outcomes out of 36 possible outcomes. You can take it from here. John

Quadratic_Equations/232601: I am supposed to solve the formula for the given letter. a^2 + 1^2 =c^2 Is the answer c^2 -1^2? 1 solutions Answer 171833 by solver91311(17077)   on 2009-10-28 17:27:42 (Show Source): You can put this solution on YOUR website! That depends. What is the given variable? John

Graphs/232438: I have tried to get help on this problem for a while and nobody is able to help me. I have 2 different problems, but I post them seperately. Evaluate the exponential equation for three positive values of x, three negaitve values of x, and at x=0. Show all work and please write out the steps on what you are doing so I can learn from it. Use the resulting ordered pairs to plot the graph. State the equation of theline asymptotic to the graph (if any) Problem:(1/4)^x -3, this is worth 10 ponts out of 30, so if I don't get this I am in trouble. Please help me. If has been 16 years since I've done this and my professor isn't much help. 1 solutions Answer 171832 by solver91311(17077)   on 2009-10-28 17:26:44 (Show Source): You can put this solution on YOUR website! . Evaluate: I'll do three of these for you: . So the ordered pair is (3, 1) . So the ordered pair is (1, 16) . So the ordered pair is (-2,1024) I presume you know how to plot points. Once you have done all the required arithmetic and plotted your set of points, draw a smooth curve. It should look something like this: Notice that no matter how large you make , the value of the function will never be exactly zero. It gets very close, very fast, but never quite makes it. Therefore asymptotic to , in other words, to the -axis. John

logarithm/232440: Express as a product. Problem: log b t^8, the letter b is smaller than the word log A) 8log b t, the b is smaller than the word log B)blog8t, the number is smaller than the word log C)blog80t^8, the number 80 is smaller than the word log D)8logbt^8, the letter b is smaller than the word log 1 solutions Answer 171772 by solver91311(17077)   on 2009-10-28 11:27:18 (Show Source): You can put this solution on YOUR website! Use the rule: John

Proofs/232431: I need help solving this logics problem, Pleas help!! If Osami is in either Afganistan or Pakistan, then he is in hiding. But if Osama is alive, then he will soon release another video tape and the tape will include a criticism of America. So, if Osama is in Afganistan then his is in hiding, and if he is alive the he will soon release another video tape. (Use the following letters: A,P,H,L,R,C) 1 solutions Answer 171771 by solver91311(17077)   on 2009-10-28 11:26:01 (Show Source): You can put this solution on YOUR website! There is nothing here to "solve." What is it you want? John

Square-cubic-other-roots/232313: how do you simplify the square root of 3/25 in radical form? 1 solutions Answer 171714 by solver91311(17077)   on 2009-10-27 22:48:43 (Show Source): You can put this solution on YOUR website! Use John

Travel_Word_Problems/232236: if juanita ranned 50 meters in 8 seconds what is her average 1 solutions Answer 171682 by solver91311(17077)   on 2009-10-27 20:10:28 (Show Source): You can put this solution on YOUR website! "ran", not "ranned" [sic], is the correct singular third-person past tense of the verb "run." English spoken here, if you please. Average what? Height -- don't know. Math test score -- don't know that either. Oh! you mean her average speed. Ok, in what units? meters per second? kilometers per hour? miles per minute? Angstroms per nanosecond? Distance equals rate times time, so rate must equal distance divided by time. It is up to you to provide appropriate units. If you divide some quantity of meters by some quantity of seconds, you will get a rate in meters per second. John

Rate-of-work-word-problems/232146: Pump A can fill a water jar two times faster than Pump B. Working together, the two pumps fill water jars in five hours. How long does it take for each pump to fill a water jar individually? I don't know how to solve, or the equations I would need. 1 solutions Answer 171674 by solver91311(17077)   on 2009-10-27 19:53:25 (Show Source): You can put this solution on YOUR website! Let represent the number of hours it would take A to fill the jar by itself. Since A pumps twice as fast as B, it would take B two times longer to fill the jar, so represents the number of hours it would take B to fill the jar by itself. Since is the amount of time for A to fill the jar, is the amount of the jar that A can fill in 1 hour. Likewise, B can fill in one hour. And together they can fill: of the jar in 1 hour. Add 'em up: And we know it takes 5 hours to fill the jar working together, so we can conclude that together they can fill of the jar in 1 hour, therefore: Solve for to get the time for A to fill the jar by itself (Hint cross-multiply). B is twice that value. John

Proofs/232217: j→i ~j→k ~k Prove: i 1 solutions Answer 171667 by solver91311(17077)   on 2009-10-27 19:38:00 (Show Source): You can put this solution on YOUR website! The contrapositive has the same truth value as the statement. Given Because Because John

Functions/232209: How do you find the domain and range for the following Points? {(1,3) (1,0) (1,-2) ( 1,8)} And is it a function. Thank you 1 solutions Answer 171664 by solver91311(17077)   on 2009-10-27 19:30:24 (Show Source): You can put this solution on YOUR website! The domain is the set of values that can be taken by the independent or input variable -- generally the . You have four ordered pairs in your set, and all of the -coordinates are equal to 1. Therefore the domain is . The range is the set of all values of the dependent variable resulting from all values of the independent variable. Therefore the range is , which are the four -coordinates. A relation is a function if and only if every element in the domain corresponds to one and only one element in the range. Here you have the element 1 in the domain that corresponds to 4 different elements in the range. Not a function. If you graphed these four points, you would find that you would be able to draw a vertical line that would contain more than one of the points (in fact, the line would contain all four points). Any time you can find such a vertical line, your relation is NOT a function. John

Rational-functions/232188: How do you solve i^6? 1 solutions Answer 171661 by solver91311(17077)   on 2009-10-27 19:19:32 (Show Source): You can put this solution on YOUR website! In general (definition of ) Where is the remainder when integer is divided by integer 6 divided by 4 leaves a remainder of 2, so , so John

Geometry_proofs/232123: how do i solve for a proof? 1 solutions Answer 171642 by solver91311(17077)   on 2009-10-27 18:21:30 (Show Source): You can put this solution on YOUR website! Start with what you are given, then proceed in logical steps showing the axiomatic or provable reason for each step, until you arrive at whatever it is you are trying to prove. John

Equations/232141: i have 18=c+5 with aline under the c+5 and a 2 beneath it. how do i solve those problems?? 1 solutions Answer 171639 by solver91311(17077)   on 2009-10-27 18:18:28 (Show Source): You can put this solution on YOUR website! I think you mean: In which case, multiply both sides by 2, then add -5 to both sides. John

test/232140: how do you subtractfractions 1 solutions Answer 171634 by solver91311(17077)   on 2009-10-27 18:14:12 (Show Source): You can put this solution on YOUR website! The same way you add them. Find and apply a common denominator and then, in the case of subtraction, find the difference of the resulting numerators. John

Systems-of-equations/232127: solve by substituion, 6m +n= 28 m-7n=62 what is the solution set. I came upt with (3,4) am I close 1 solutions Answer 171625 by solver91311(17077)   on 2009-10-27 18:01:10 (Show Source): You can put this solution on YOUR website! The answer to the question posed would certainly depend on what you mean by "close." On the other hand, the concept of "close" doesn't apply here. An answer that differs from the correct answer by 1 is just as wrong as one that differs by 500. Now, if you would care to write back and show the work you did, perhaps I can find where you made your error. John

Quadratic_Equations/232134: 9/x- 2= 5/x^2 1 solutions Answer 171620 by solver91311(17077)   on 2009-10-27 17:48:17 (Show Source): You can put this solution on YOUR website! What is your question? John

Polynomials-and-rational-expressions/232019: This problem I have needs to be divided but I not finding that I am able too. Divide this algebraic expression (2x^3-x^2+3x-1)/(x+2) 1 solutions Answer 171565 by solver91311(17077)   on 2009-10-27 13:50:16 (Show Source): You can put this solution on YOUR website! You need to do polynomial long division. Too difficult and time-consuming to render on this site, so the best thing is for you to look at either wikipedia or purplemath to learn the process for yourself. http://en.wikipedia.org/wiki/Polynomial_long_division http://www.purplemath.com/modules/polydiv2.htm The following site has a calculator that will take you through your specific problem step-by-step. http://www.mathcelebrity.com/algmaster.php John