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Recent problems solved by 'stanbon'

stanbon answered: 57269 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269, >>Next

Quadratic_Equations/247740: Solve the following problems by defining the variable, writing a quadratic equation, solving it and then providing a written conclusion. - The sum of the squares of two consecutive even numbers is 1460. Find the numbers. 1 solutions Answer 180612 by stanbon(57342)   on 2009-12-09 09:17:36 (Show Source): You can put this solution on YOUR website! The sum of the squares of two consecutive even numbers is 1460. Find the numbers. -------------------- 1st even: 2x 2nd even: 2x+2 -------------------- (2x)^2 + (2x+2)^2 = 1460 4x^2 + 4x^2 + 8x + 4 = 1460 8x^2 + 8x -1456 = 0 x^2 + x - 182 = 0 (x-13)(x+14) = 0 -------------------------- x = 13 ------------- 1st: 2x = 26 2nd: 28 ===================== Cheers, Stan H.

Probability-and-statistics/247729: A bag contains 3 blue stones, 5 red stones, and 2 white stones. What is the probability of picking a blue stone, keeping it and then picking a white stone? 1 solutions Answer 180610 by stanbon(57342)   on 2009-12-09 09:10:57 (Show Source): You can put this solution on YOUR website! A bag contains 3 blue stones, 5 red stones, and 2 white stones. What is the probability of picking a blue stone, keeping it and then picking a white stone? ------------------ (3/10)(2/9) = 2/30 = 1/15 =============================== Cheers, Stan H.

Graphs/247620: The math club sold roses and tulips this year for the valentine's day.The number of roses was 8 more than 4 times the number of tulips sold.Tulips were sold for $2 each and roses for $5 each.The club made $414.00.How many roses were sold? 1 solutions Answer 180585 by stanbon(57342)   on 2009-12-08 22:24:45 (Show Source): You can put this solution on YOUR website! The math club sold roses and tulips this year for the valentine's day.The number of roses was 8 more than 4 times the number of tulips sold.Tulips were sold for $2 each and roses for $5 each.The club made $414.00.How many roses were sold? ---------------------------------------- Equations: Quantity Eq::::: r = 4t + 8 Value Eq:::::::: 5r + 2t = 414 ------------------------------------- Substitute for "r" and solve for "t": 5(4t+8) + 2t = 414 22t + 40 = 414 22t = 374 t = 17 (# of tulips sold) --- r = 4*17+8 = 76 (# of roses sold) ===================================== Cheers, Stan H.

Trigonometry-basics/247618: suppose (~) is an angle in standard position whose terminal side lies in quadrant II. if sin (~) = 12/13, find values of sec (~) 1 solutions Answer 180584 by stanbon(57342)   on 2009-12-08 22:19:51 (Show Source): You can put this solution on YOUR website! suppose (~) is an angle in standard position whose terminal side lies in quadrant II. if sin (~) = 12/13, find values of sec (~) ---------------- sin is y/r y = 12 and r = 13 x = sqrt[13^2-12^2) = sqrt(169-144) = sqrt(25) = 5 --------------------------- But x is negative in Quadrant II so x = -5 ------------------------------------------------ sec(~) = r/x = 13/-5 = -13/5 =================================== Cheers, Stan H.

Triangles/247562: An airplane is sighted at the same time by two ground observers who are 4 miles aparts and both directly west of the airplane. They report the angles of elevation as 15 degrees and 20 degrees. How high is the airplane? 1 solutions Answer 180583 by stanbon(57342)   on 2009-12-08 22:14:43 (Show Source): You can put this solution on YOUR website! An airplane is sighted at the same time by two ground observers who are 4 miles aparts and both directly west of the airplane. They report the angles of elevation as 15 degrees and 20 degrees. How high is the airplane? ------------------------------------------------- Draw the picture. You have two overlapping right triangles. the larger base is x miles to the west of a point beneath the plane. ne observer is 21120 west of a point directly beneath the plane. The other observer is x ft west of the same point. Let the altitute of the plane be "h" ---- Equations: tan(15)= h/x tan(20) = h/(x-21120) --------------------------- h = x*tan(15) h = (x-21120)*tan(20) ========================== x*tan(15) = x*tan(20) - 21120*tan(20) x = [-21120*tan(20)]/[tan(15)-tan(20)] x = -7687.05/-0.0960 = 80055.89 --------------- h = x*tan(15) h = 21,450.9 ft. (height of the airplane) =============== Cheers, Stan H.

Probability-and-statistics/247550: assume you are playing 5 card draw poker.... what is the probability of getting all 5 cards the same color 1 solutions Answer 180559 by stanbon(57342)   on 2009-12-08 21:01:46 (Show Source): You can put this solution on YOUR website! assume you are playing 5 card draw poker.... what is the probability of getting all 5 cards the same color --------------------------------- # of ways to pick a color: 2 # of ways to pick 5 cards of that color: 26C5 ----------------------------------------------------- # of ways of picking 5 cards from the deck of 52: 52C5 ========================================================= P(5 cards same color) = [2*26C5]/52C5 = 131560/2598960 = 0.0506 ================================================================== Cheers, Stan H.

Triangles/247459: One leg of an isosceles triangle has a length of (x2 + 9)cm. The base of the isosceles triangle has a length of (5x + 12)cm. The perimeter of the triangle is 42 cm. Find the value(s) for x and the lengths of the sides. 1 solutions Answer 180525 by stanbon(57342)   on 2009-12-08 19:33:17 (Show Source): You can put this solution on YOUR website! One leg of an isosceles triangle has a length of (x^2 + 9)cm. The base of the isosceles triangle has a length of (5x + 12)cm. The perimeter of the triangle is 42 cm. Find the value(s) for x and the lengths of the sides. -------------------------------- There are 2 equal legs and a base. 2(x^2+9) +5x+12 = 42 2x^2 + 5x + 18 - 42 = 0 2x^2 + 5x - 24 = 0 x = [-5 +- sqrt(25-4*2*-24)]/4 --- x = [-5 +- sqrt(217)]/4 --- Positive solution: x = [-5+sqrt(217)]/4 = 2.4327.. --- leg1 = leg2 = x^2+9 = (2.4327)^2+9 = 14.9182 base = 5x+12 = 24.1635 ================================================ Cheers, Stan H.

Inequalities/247453: if i graph 4< -2y+3x i would simplify it to 1.5x+-2<4. i graphed this and now i dont understand which sides of the graphs to shade. HELP!! :) 1 solutions Answer 180520 by stanbon(57342)   on 2009-12-08 19:17:55 (Show Source): You can put this solution on YOUR website! if i graph 4< -2y+3x i would simplify it to 1.5x+-2<4. i graphed this and now i dont understand which sides of the graphs to shade. ------------------------------------------- Solve for y: 2y+4 < 3x 2y < 3x-4 y <(3/2)x-2 --------------------- Graph the line y = (3/2)x-2. This is the boundary of the inequality. ----------------------------------------------------- Important: Since you want y to LESS than (3/2)x-2, hatch the half-plane BELOW the boundary. ----------------------------------------------------- ------------------------------------------------------ Cheers, Stan H.

logarithm/247447: I need to write the expression as a single logarithm with coefficient 1. The c's in the problem are subscripts. logcm-logcn-logcf 1 solutions Answer 180518 by stanbon(57342)   on 2009-12-08 19:09:54 (Show Source): You can put this solution on YOUR website! I need to write the expression as a single logarithm with coefficient 1. The c's in the problem are subscripts. logcm-logcn-logcf -------------------- logc(m) - logc(n) - logc(f) ---- = logc(m) - [logc(n) + loc(f)] --- = logc(m) - [logc(nf)] --- = logc[m/nf] ================================== Cheers, Stan H.

Probability-and-statistics/247421: find the sample space of the random experiment which consists of tossing a coin infinitely many times.is this sample space is discrete? 1 solutions Answer 180515 by stanbon(57342)   on 2009-12-08 19:05:28 (Show Source): You can put this solution on YOUR website! find the sample space of the random experiment which consists of tossing a coin infinitely many times.is this sample space discrete? --------------------- It is an infinite sample space. ================================= Cheers, Stan H.

Trigonometry-basics/247431: how do you calculate cos pie over 5 and cot 3pie over 7 1 solutions Answer 180511 by stanbon(57342)   on 2009-12-08 18:54:21 (Show Source): You can put this solution on YOUR website! how do you calculate cos pie over 5 and cot 3pie over 7 ---------------------------- cos(pi/5) = cos(180/5) = cos(36 degrees) = 0.8090... ---------------------------- cot(3pi/7) = cot(540/7) = cot(77.14 degrees) = 0.2282 ---------------------------- ============================================= Cheers, Stan H.

Polynomials-and-rational-expressions/247428: 2x squared - 5x-24 = -3x 1 solutions Answer 180507 by stanbon(57342)   on 2009-12-08 18:44:29 (Show Source): You can put this solution on YOUR website! 2x squared - 5x-24 = -3x --------- 2x^2 - 5x - 24 = -3x --- 2x^2 - 2x - 24 = 0 2(x^2 - x - 12) = 0 2(x-4)(x+3) = 0 ---------------- x = 4 or x = -3 ======================== Cheers, Stan H.

Polynomials-and-rational-expressions/247425: 6y squared - 9y squared factor 1 solutions Answer 180505 by stanbon(57342)   on 2009-12-08 18:42:02 (Show Source): You can put this solution on YOUR website! 6y squared - 9y squared --- 6y^2 - 9y^2 = -3y^2 ============== Cheers, Stan H.

Probability-and-statistics/247403: A department store manager claims that at least 45% of persons who visited this store make a purchase. In a sample of 400 persons who visited the store 150 made a purchase. Test the manager’s claim at the 3% significance level. a.State the null and alternate hypothesis. b. Determine the rejection region for the decision rule. c. which equation listed below would you use? d. Using the statistical calculator or manual calculation what is the observed statistic and what is your decision regarding the null hypothesis. Provide a one sentence answer. 1 solutions Answer 180503 by stanbon(57342)   on 2009-12-08 18:39:17 (Show Source): You can put this solution on YOUR website! A department store manager claims that at least 45% of persons who visited this store make a purchase. In a sample of 400 persons who visited the store 150 made a purchase. Test the manager’s claim at the 3% significance level. a.State the null and alternate hypothesis. Ho: p >= 0.45 (Claim) H1: p < 0.45 -------------------------- sample proportion = 150/400 = 0.375 --- test statistic: z(0.375) = (0.375-0.45)/sqrt[0.45*0.55/400] = -3.0151... critical value for left-tail test with alpha = 3%: z = -1.8808 ---------------- Since the test stat value is in the reject interval, reject Ho. ---------------- b. Determine the rejection region for the decision rule. critical value for left-tail test with alpha = 3%: z = -1.8808 The reject interval is all z-values less than -1.8808 -------------------- c. which equation listed below would you use? The equations are not listed. -------------------- d. Using the statistical calculator or manual calculation what is the observed statistic and what is your decision regarding the null hypothesis. Provide a one sentence answer. Answered above. ======================================= Cheers, Stan H.

Systems-of-equations/247402: -2x-9y=-25 -4x-9y=-23 this solving systems of equation by elimination 1 solutions Answer 180492 by stanbon(57342)   on 2009-12-08 18:21:12 (Show Source): You can put this solution on YOUR website! -2x-9y=-25 -4x-9y=-23 ------------------- subtract the 2nd equation from the 1st and solve for "x": 2x = -2 x = -1 ------------------ Substitute x = 1 into the 1st equation and solve for "y": -2(1) - 9y = -25 -9y = -23 y = 23/9 ---------------------- Solution: (-1 , 23/9) ========================= Cheers, Stan H.

Graphs/247401: what is y_< 2/3x+2 1 solutions Answer 180489 by stanbon(57342)   on 2009-12-08 18:17:32 (Show Source): You can put this solution on YOUR website! what is y_< 2/3x+2 ------------------------- What are you asked to do with this inequality? Cheers, Stan H.

test/247399: I am having a hard time this. Find the slope and the Y intercept of the line. Write the fractional answer in the lowest possible terms. y= -5/7x -7/3 The slope is ? Type an integer or fraction The y intercept is (0,?) Type an integer or fractions. 1 solutions Answer 180487 by stanbon(57342)   on 2009-12-08 18:14:38 (Show Source): You can put this solution on YOUR website! Find the slope and the Y intercept of the line. Write the fractional answer in the lowest possible terms. y= -5/7x -7/3 The slope is ? Type an integer or fraction Slope = (-5/7) ---------------------------- The y intercept is (0,?) Type an integer or fractions. y-intercept is (0, -7/3) ================================ Cheers, Stan H.

Probability-and-statistics/247397: To test the null hypothesis that the average lifetime for a particular brand of bulb is 775 hours versus the alternative that the average lifetime is different from 775 hours, a sample of 120 bulbs is used. If the standard deviation is 65 hours and α is equal to 0.01, what values for will result in rejection of the null hypothesis (Please show all work, thank you.) 1 solutions Answer 180485 by stanbon(57342)   on 2009-12-08 18:11:38 (Show Source): You can put this solution on YOUR website! To test the null hypothesis that the average lifetime for a particular brand of bulb is 775 hours versus the alternative that the average lifetime is different from 775 hours, a sample of 120 bulbs is used. If the standard deviation is 65 hours and α is equal to 0.01, what values for the test statistic will result in rejection of the null hypothesis (Please show all work, thank you.) ----------------- Find the critical values of t for a 2-tail test with alpha = 1% and df = 119: t = -2.6178 or t = 2.6178 -------------------------- Any test statistics below t = -2.6178.. or above t = 2.6178.. ============================================================== Cheers, Stan H.

Probability-and-statistics/247393: A 95% confidence interval estimate for a population mean was computed to be (60.0 to 68.6). Determine the mean of the sample, which was used to determine the interval estimate (Please show all work) Thank you. 1 solutions Answer 180483 by stanbon(57342)   on 2009-12-08 18:04:33 (Show Source): You can put this solution on YOUR website! A 95% confidence interval estimate for a population mean was computed to be (60.0 to 68.6). Determine the mean of the sample, which was used to determine the interval estimate (Please show all work) ------------------------------- E-xbar = 60 E+xbar = 68.6 -------------------------- Subtract 1st from 2nd and solve for xbar: 2xbar = 8.6 x-bar = 4.3 ================= Cheers, Stan H.

Linear-systems/247356: 2 x - y + z = 9 3 x -5 y + 4 z = 30 5 x + y -2 z = 4 please show work, so i can understand how to do it. thank you 1 solutions Answer 180479 by stanbon(57342)   on 2009-12-08 18:00:20 (Show Source): You can put this solution on YOUR website! 2 x - y + z = 9 3 x -5 y + 4 z = 30 5 x + y -2 z = 4 ----------------------- Subtract 1st Eq for 2nd to get: 2 x - y + z = 9 x -4 y + 3 z = 21 5 x + y -2 z = 4 ------------------------------- Make the 2nd Equation the 1st: x - 4y + 3 z = 21 2x - y + z = 9 5x + y -2 z = 4 ------------------------------- Subtract 2 times 1st from 2nd Subtract 5 times 1st from 3rd to get x - 4y + 3 z = 21 0x + 7y -5z = -33 0x +21y -17z = -101 ------------------------------- Subtract 3 times 2nd from the 3rd to get: x - 4y + 3 z = 21 0x + 7y -5z = -33 0x + 0y -2z = -2 ---------------------- Solve 3rd for "z" : z = 1 ---------------------- Substitute z=1 into 2nd Eq. and solve for "y": 7y - 5 = -33 7y = -28 y = -4 ---------------------- Substitute z = 1 and y = -4 into the 1st Eq and solve for "x. x -4*-4 + 3*1 = 21 x + 16 + 3 = 21 x + 19 = 21 x = 2 --------------------- Final solution: x = 2 y = -4 z = 1 ================= Cheers, Stan H.

Permutations/247357: In the past, a local telephone number in the U.S. consisted of a sequence of two letters followed by five digits. Three letters were associated with each number from 2 to 9 (just as in the standard telephone layout shown in the figure) so that each telephone number corresponded to a sequence of 7 digits. How many different sequences of 7 digits were possible? 1 solutions Answer 180459 by stanbon(57342)   on 2009-12-08 17:09:53 (Show Source): You can put this solution on YOUR website! In the past, a local telephone number in the U.S. consisted of a sequence of two letters followed by five digits. Three letters were associated with each number from 2 to 9 (just as in the standard telephone layout shown in the figure) so that each telephone number corresponded to a sequence of 7 digits. How many different sequences of 7 digits were possible? ---------------------------------------- Assuming that both letters and digits can be repeated the number of sequences would be 26^2*8^2 = 43,264 ===================================================== Cheers, Stan H.

Probability-and-statistics/247345: Holly rolls two fair dice. What is the probability that the sum of the numbers rolled is 6? 1 solutions Answer 180454 by stanbon(57342)   on 2009-12-08 17:02:43 (Show Source): You can put this solution on YOUR website! Holly rolls two fair dice. What is the probability that the sum of the numbers rolled is 6? -------------------------- Six-combinations: 1,5;2,4;3,3;4,2;5,1 -----5 ways Total number of combinations: 6*6 = 36 ----------------------------- Probability of a 6: 5/36 =============================== Cheers, Stan H.

Numbers_Word_Problems/247306: my digits are the same. their sum is 3 less than their product. what is the number invictus46@aol.com 1 solutions Answer 180436 by stanbon(57342)   on 2009-12-08 15:52:47 (Show Source): You can put this solution on YOUR website! my digits are the same. their sum is 3 less than their product. what is the number ----- Equations: x = y x+y = xy-3 ------------------- Substitute for "y" and solve for "x": x + x = x^2-3 x^2-2x-3 = 0 (x-3)(x+1) = 0 x = 3 or x = 1 ---------------------- Check the answers. x=3 ? 3+3 = 3*3-3 6 = 9-3 6 = 6 --------------- x = 1 ? 1+1 = 1*1-3 2 = -2 ================ Final Answer: x = 3 =============================== Cheers, Stan H.

Exponential-and-logarithmic-functions/247302: 3log{2}x=-log{2}27 1 solutions Answer 180434 by stanbon(57342)   on 2009-12-08 15:47:41 (Show Source): You can put this solution on YOUR website! 3log{2}x=-log{2}27 --- log(2)x^3 = log(2)27^(-1) ------------------------------ x^3 = 27^(-1) --- I'm going to assume you are looking for only one solution: --- x^3 = (1/27) --- x = 1/3 ================ There are also 2 complex number solutions. ================ Cheers, Stan H.

Miscellaneous_Word_Problems/247303: Three times the sum of a number plus 1 is equal to two times the sum of the number plus 4. What is the number? 1 solutions Answer 180432 by stanbon(57342)   on 2009-12-08 15:43:43 (Show Source): You can put this solution on YOUR website! Three times the sum of a number plus 1 is equal to two times the sum of the number plus 4. What is the number? ----------------------------------------- Equation: 3(x+1) = 2(x+4) 3x+3 = 2x+8 x = 5 ============== Cheers, Stan H.

Travel_Word_Problems/247298: Mr. Anders and Ms. Rich each drove home from a business meeting. Mr. Anders traveled east at 100 kilometers per hour and Ms. Rich traveled west at 80 kilometers per hour. In how many hours were they 100 kilometers apart? 1 solutions Answer 180431 by stanbon(57342)   on 2009-12-08 15:41:58 (Show Source): You can put this solution on YOUR website! Mr. Anders traveled east at 100 kilometers per hour and Ms. Rich traveled west at 80 kilometers per hour. In how many hours were they 100 kilometers apart? -------------- Draw the picture. Anders DATA: rate = 100 km/h ; distance = x km ; time = d/r = x/100 hrs. ----------------------- Rich DATA: rate = 80 km/h ; distance = 100-x km ; time = d/r = (100-x)/80 -------------------------- Equation: time = time x/100 = (100-x)/80 80x = 10,000-100x 180x = 10,000 x = 55.56 ---------------- time = x/100 = 0.56 hours (time at which they are separated by 100 km) ============================================== Cheers, Stan H.

Miscellaneous_Word_Problems/247297: A number greater than 50 has two digits. The sum of those digits is 10 and the difference is 4. What is the number? 1 solutions Answer 180427 by stanbon(57342)   on 2009-12-08 15:35:40 (Show Source): You can put this solution on YOUR website! A number greater than 50 has two digits. The sum of those digits is 10 and the difference is 4. What is the number? ----------------- Equations: t + u = 10 t - u = 4 ----------------- Add and solve for "t": 2t = 14 t = 7 --- Since t+u = 10, u = 3 ----------------- Number: 73 ======================== Cheers, Stan H.

Probability-and-statistics/247286: A burglar alarm system has six fail-safe components. The probability of each failing in 0.05. Find the following probabilities. a. Exactly three will fail b. Fewer than 2 will fail c. None will fail d. All will fail 1 solutions Answer 180426 by stanbon(57342)   on 2009-12-08 15:32:51 (Show Source): You can put this solution on YOUR website! A burglar alarm system has six fail-safe components. The probability of each failing in 0.05. Find the following probabilities. a. Exactly three will fail P(x=3) = 6C3*(0.05)^3(0.95)^3 = 0.0021 ----------------------------------- b. Fewer than 2 will fail I use a calculator for these: P(0<= x <= 1) = binomcdf(6,0.05,1) = 0.9672... ------------------------------------ c. None will fail P(x=0) = 0.95^6 = 0.7351... ------------------------------------ d. All will fail P(x=6) = 0.05^6 = 0.0000000156... ====================================== Cheers, Stan H.

Polynomials-and-rational-expressions/247150: I am a little lost on how to do this problem, im supposed to combine all operations to solve but I cannot seem to nail it. Any help would be great 6x^2+8x-7/-x 1 solutions Answer 180349 by stanbon(57342)   on 2009-12-08 09:41:56 (Show Source): You can put this solution on YOUR website! 6x^2+8x-7/-x --- Is -x the denominator of -7 of is -x the denominator of 6x^2+8x-7 ? Please use parentheses to clarify. Cheers, Stan H.

Exponential-and-logarithmic-functions/247161: Solve. log2(x^2-1)=3 1 solutions Answer 180348 by stanbon(57342)   on 2009-12-08 09:38:43 (Show Source): You can put this solution on YOUR website! Solve. log2(x^2-1)=3 ---- Convert to exponential form: (x^2-1) = 2^3 x^2-1= 8 x^2-9 = 0 Factor: (x-3)(x+3) = 0 x = 3 or x = -3 ===================== Cheers, Stan H.

Pythagorean-theorem/247159: the length of the 2 shorter sides of a right angleare 20 and 15.another right angle of equal area has its shortside 10cm long.what is the length of the side perpendiculars to this? 1 solutions Answer 180347 by stanbon(57342)   on 2009-12-08 09:35:01 (Show Source): You can put this solution on YOUR website! The length of the 2 shorter sides of a right angle are 20 and 15.another right angle of equal area has its shortside 10cm long.what is the length of the side perpendiculars to this? --------------------- The triangles are similar. Area of the 1st triangle = (1/2)(20)(15) = 150 sq units --------- Let the length of the unknown side of the 2nd right triangle be "x". Area = (1/2)10x 150 = 5x x = 30 units (lenth of the unknown side) ============================================= Cheers, Stan H.