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Recent problems solved by 'stanbon'

stanbon answered: 57135 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, >>Next

Geometric_formulas/132707: This question is from textbook Fundamentals of Algebric Modeling The lengths of the sides of a non-right triangle are 17 inches, 9 inches, and 12 inches. Find the area of the triangle. Round to the nearest tenth. my answer is 17 * 9 + 12 = 165 / 3 = 55 1 solutions Answer 96995 by stanbon(57203)   on 2008-03-18 22:32:47 (Show Source): You can put this solution on YOUR website! The lengths of the sides of a non-right triangle are 17 inches, 9 inches, and 12 inches. Find the area of the triangle. Round to the nearest tenth. ----------------- Use Hero's formula: Area = sqrt[s(s-a)(s-b)(s-c)] where s = (a+b+c+)/2 =========================== Problem: s = (17+9+12)/2 = 19 Area = sqrt[19*(19-17)(19-9)(19-12)] Area = sqrt[19*2*10*7] Area = sqrt(2660) Area = 51.6 sq. inches =========================== Cheers, Stan H.

Exponential-and-logarithmic-functions/132712: how do i find the y intercept of 2^x?? 1 solutions Answer 96994 by stanbon(57203)   on 2008-03-18 22:21:05 (Show Source): You can put this solution on YOUR website! how do i find the y intercept of 2^x?? ------------------ Let x=0; solve for "y": y = 2x^0 y = 2*1 y = 2 -------------- y-intercept is (0,2) Cheers, Stan H.

Geometric_formulas/132708: This question is from textbook Fundamentals of Algebric Modeling Sarah needs to borrow $1500 for her school tutition. She borrows the money on a six monthe short term note that charges simple interest. After 6 months, she owes $90.00 in interest. What is the simple interest rate being charged on this note? 1 solutions Answer 96993 by stanbon(57203)   on 2008-03-18 22:17:59 (Show Source): You can put this solution on YOUR website! Sarah needs to borrow $1500 for her school tutition. She borrows the money on a six month short term note that charges simple interest. After 6 months, she owes $90.00 in interest. What is the simple interest rate being charged on this note? -------------- I = Prt 90 = 1500*r*6 90 = 9000r r = 90/9000 r = 0.01 ------------- Rate seems to be 1% per month or 12% per year. ================ Cheers, Stan H.

Mixture_Word_Problems/132710: Need help with setting up a mixture problem. How many gallons of a 15% salt solution msut be mixed with four gallons of 20% salt solution in order to make a 17% salt solution? please and thank you 1 solutions Answer 96992 by stanbon(57203)   on 2008-03-18 22:10:40 (Show Source): You can put this solution on YOUR website! How many gallons of a 15% salt solution msut be mixed with four gallons of 20% salt solution in order to make a 17% salt solution? ----------------------- 15% solution DATA: Amount = x gallons ; Amt. of salt = 0.15x ----------------------- 20% solution DATA: Amount = 4 gallons ; Amt of salt = 0.20*4 = 0.8 ----------------------- 17% solution DATA: Amt. = x+4 gallons ; Amt of salt = 0.17(x+4)=0.17x+0.68 ----------------------- EQUATION: salt + salt = salt 0.15x + 0.8 = 0.17x+0.68 0.02x = 0.12 x = 6 (# of gallons of 15% solution that must be added) =================== Cheers, Stan H.

Inequalities/132711: This question is from textbook Algebra 1 I need help with this quiston: A number plus one is greater than negative five and less than three. 1 solutions Answer 96991 by stanbon(57203)   on 2008-03-18 22:03:57 (Show Source): You can put this solution on YOUR website! A number plus one is greater than negative five and less than three. --------------------------- Let the number be "x". EQUATION: -5 < x + 1 <3 Subtract 1 along the line to get: -6 < x < 2 =============== Cheers, Stan H.

Square-cubic-other-roots/132699: Rationalize the denominator: 2 divided by √[3] + √[2] 1 solutions Answer 96989 by stanbon(57203)   on 2008-03-18 21:09:35 (Show Source): You can put this solution on YOUR website! Rationalize the denominator: 2 divided by √[3] + √[2] ------------------- 2/[sqrt(3) + sqrt(2)] Multiply numerator and denominator by [sqrt(3)-sqrt(2)] to get: = 2(sqrt(3)-sqrt(2))/(3-2) = 2sqrt(3)-2sqrt(2) ========================= Cheers, Stan H.

Exponents/132706: 1. solution of x2y5y-2x-2 2. solution of p0x-1(x-2x0) 3. solution of m5b2mb-2 4. solution of 4x2p0(3xp5-2x-2) and how you arrive at the solutions thank you 1 solutions Answer 96988 by stanbon(57203)   on 2008-03-18 21:06:13 (Show Source): You can put this solution on YOUR website! 1. solution of x2y5y-2x^-2 = x^2y^6-2x^-2 = x^2y^6 -(2/x^2) ------------------- 2. solution of p^0x^-1(x-2x^0) = (1/x)(x-2) = 1-(2/x) = (x-2)/x = -------------------- 3. solution of m^5*b^2mb^-2 = m^5b^0 = m^5 ---------------- 4. solution of 4x^2p^0(3xp^5-2x^-2) = 4x^2(3xp^5-(2/x^2)) = 12x^3p^5 - 8 =====================

Proportions/132665: Solve Proportions: 9/-15 = -27/P My question is: If just the demonitor or just the numerator is a negative number does this make the entire fraction negative? Thank you for your help, Brooke 1 solutions Answer 96984 by stanbon(57203)   on 2008-03-18 20:55:04 (Show Source): You can put this solution on YOUR website! Yes. Every fraction has three signs: sign of the fraction, sign of the numerator, sign of the denominator. You may change any two of the signs and still have the same fraction. ------------------------------- 9/-15 = -27/P Invert both sides to get: -15/9 = P/-27 Reduce to get: -5/3 = P/-27 Multiply both sides by -27 to solve for P: P = -27(-5/3) P = 45 ================ Cheers, Stan H.

Rational-functions/132702: This question is from textbook Algebra 2 show me how to solve 1/1+c - 1/2+c = 1/4 1 solutions Answer 96982 by stanbon(57203)   on 2008-03-18 20:48:45 (Show Source): You can put this solution on YOUR website! Answered this evening. Cheers, Stan H.

Unit_Conversion_Word_Problems/132705: convert 300 kilometers a second to Miles per hour. Please show your work with the formula. Thank you, Lean 1 solutions Answer 96981 by stanbon(57203)   on 2008-03-18 20:47:44 (Show Source): You can put this solution on YOUR website! convert 300 kilometers a second to Miles per hour. Please show your work with the formula. ----------------- (300 kilometer/sec)*(3600 sec/1 hour)(1 mile/0.62137 kilometer) = [300*3600*1}/[1*1*0.62137)(miles/hour) = 1080000/ 0.62137 = 1,738,094.855 mph ========================= Cheers, Stan H.

Equations/132704: This question is from textbook Geometry 1 solutions Answer 96976 by stanbon(57203)   on 2008-03-18 20:36:25 (Show Source): You can put this solution on YOUR website! 2x = 3x^2 + 6 3x^2 - 2x + 6 = 0 x = [2 +- sqrt(4-4*3*6)]/6 x = [2 +- sqrt(-68)]/6 x = [2 +- 2isqrt(17)]/6 x = [1 +- isqrt(17)]/3 ============================ Cheers, Stan H.

Rational-functions/132703: This question is from textbook Algebra 2 show me how to solve 1/1+c - 1/2+c = 1/4 1 solutions Answer 96974 by stanbon(57203)   on 2008-03-18 20:32:11 (Show Source): You can put this solution on YOUR website! solve 1/1+c - 1/2+c = 1/4 ----------------- Simplify the left side: [2+c -(1+c)]/[(1+c)(2+c)] = 1/4 [1] / [c^2+3c+2] = 1/4 c^2+3c+2 = 4 c^2+3c-2 = 0 c = [-3 +- sqrt(9-4*-2)]/2 c = [-3 +- sqrt(17)]/2 c = (-3+sqrt(17))/2 or c = (-3-sqrt(17))/2 ====================== Cheers, Stan H.

Probability-and-statistics/132476: Suppose that the time, X, that a tourist must wait to board a trolley car in San Francisco is a uniformly distributed random variable over the interval from 0 minutes to 10 minutes. a.What is the probability that the tourist’s wait-time is exactly 0 minutes? b.What is the probability that a tourist must wait longer than 8 minutes to board the trolley car? c.What is the expected wait-time for a tourist? 1 solutions Answer 96969 by stanbon(57203)   on 2008-03-18 20:16:59 (Show Source): You can put this solution on YOUR website! Answer has been posted this evening. Cheers, Stan H.

Probability-and-statistics/132539: Suppose that the weights of 10-week old kittens follow a normal distribution, with a mean value of 25 ounces and a standard deviation of 4 ounces. If a kitten’s weight is in the bottom 10% of the distribution of weights, then it is said to be undernourished. What is the cutoff weight for an undernourished kitten? 1 solutions Answer 96968 by stanbon(57203)   on 2008-03-18 20:14:58 (Show Source): You can put this solution on YOUR website! the answer has been posted this evening. Cheers, Stan H.

Probability-and-statistics/132664: Year January Inflow February Inflow 1976 2.89 2.45 1977 3.57 2.57 1978 4.18 3.17 1979 4.71 3.93 1980 4.12 2.93 Using Feb. Inflow as the dependent variable and Jan. Inflow as the dependent variable. What is the equation of the regression line? What is the vaue of the coeifficent of determination. What is the value of the linear correlation coeefficent. 1 solutions Answer 96967 by stanbon(57203)   on 2008-03-18 20:10:02 (Show Source): You can put this solution on YOUR website! Year January Inflow February Inflow 1976 2.89 2.45 1977 3.57 2.57 1978 4.18 3.17 1979 4.71 3.93 1980 4.12 2.93 Using Feb. Inflow as the dependent variable and Jan. Inflow as the dependent variable. ---------------- Comment: They cannot both be dependent variables. Cheers, Stan H. ------------------- What is the equation of the regression line? What is the vaue of the coeifficent of determination. What is the value of the linear correlation coeefficent

Probability-and-statistics/132633: Suppose that the weights of 10-week old kittens follow a normal distribution, with a mean value of 25 ounces and a standard deviation of 4 ounces. If a kitten’s weight is in the bottom 10% of the distribution of weights, then it is said to be undernourished. What is the cutoff weight for an undernourished kitten? 1 solutions Answer 96964 by stanbon(57203)   on 2008-03-18 20:06:13 (Show Source): You can put this solution on YOUR website! Suppose that the weights of 10-week old kittens follow a normal distribution, with a mean value of 25 ounces and a standard deviation of 4 ounces. If a kitten’s weight is in the bottom 10% of the distribution of weights, then it is said to be undernourished. What is the cutoff weight for an undernourished kitten? ------------------------ mean = 25 oz sigma = 4 oz ---------------- Find the z-value at 10% in your z-chart or using InVNorm(0.1) InVNorm(0.1) = -1.28155... ------------- Find the corresponding raw score value: z = (x - mu)/sigma x = z*sigma + mu x = -1.28155*4 + 25 x = 19.87379... (kittens weighing less than 19.8739 oz are undernourished) ==================== Cheers, Stan H.

Probability-and-statistics/132638: Suppose that the time, X, that a tourist must wait to board a trolley car in San Francisco is a uniformly distributed random variable over the interval from 0 minutes to 10 minutes. a.What is the probability that the tourist’s wait-time is exactly 0 minutes? b.What is the probability that a tourist must wait longer than 8 minutes to board the trolley car? c.What is the expected wait-time for a tourist? 1 solutions Answer 96962 by stanbon(57203)   on 2008-03-18 19:59:42 (Show Source): You can put this solution on YOUR website! Suppose that the time, X, that a tourist must wait to board a trolley car in San Francisco is a uniformly distributed random variable over the interval from 0 minutes to 10 minutes. a.What is the probability that the tourist’s wait-time is exactly 0 minutes? P(X=0) = 1/10 -------------- b.What is the probability that a tourist must wait longer than 8 minutes to board the trolley car? P(X = 9 or 10) = 2/10 = 1/5 --------------- c.What is the expected wait-time for a tourist? E(X) = (1/10)(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10) E(x) = (1/10)[(10/2)(11) = 5.5 =================== Cheers, Stan H.

Equations/132688: How would you solve this equation? 11m^2-14m=0 1 solutions Answer 96961 by stanbon(57203)   on 2008-03-18 19:52:33 (Show Source): You can put this solution on YOUR website! How would you solve this equation? 11m^2-14m=0 How would you solve this equation? 11m^2-14m=0 -------------- m(11m-14) = 0 m= 0 or m = 14/11 ----------------------- Cheers, Stan H.

Rational-functions/132683: My teacher is making us do this project where we have to think of word problems for each of the functions. I cannot think of any for cubic or rational! I thought i did this one right for rational but i'm not sure. please help me! my project is due thursday!!! 2. Jessica decides she wants to build a sandcastle in the shape of a dolphin. It takes Jessica 65 minutes to make this sandcastle and it takes Lucas, her boyfriend, 25 minutes to make the sandcastle alone. How long will it take them to make the sandcastle if they work together? 1 solutions Answer 96960 by stanbon(57203)   on 2008-03-18 19:50:24 (Show Source): You can put this solution on YOUR website! Linear: It cost 10 cents to set up Lucy's lemonade business. It costs her 2 cents to make a glass of lemonade. What is her cost to make 50 glasses of lemonade? Cost(x) = 10 + 2x ---------------------- Quadratic: The path of a baseball hit from 3' above the ground with a velocity of 50 ft/sec is y = -16t^2+50t+3 How far from home plate will the ball hit the ground? ---------------------- Cubic: A box is x inches wide, 2x inches long, and 3x inches high. what is the volume of the box V = x*2x*3x = 6x^3 ------------------------ Cheers, stan H.

Human-and-algebraic-language/132676: This question is from textbook Algebra 1 four oranges and five apples cost $3.56. three oranges and four apples cost $2.76. find the cost of an orange and the cost of an apple. 1 solutions Answer 96959 by stanbon(57203)   on 2008-03-18 19:43:10 (Show Source): You can put this solution on YOUR website! four oranges and five apples cost $3.56. three oranges and four apples cost $2.76. find the cost of an orange and the cost of an apple. ----------------- EQUATIONS: 4R + 5A = 3.56 3R + 4A = 2.76 ------------------ Multiply 1st by 3 and 2nd by 4 to get: 12R + 15A = 3*3.56 12R + 16A = 4*2.76 -------------------- Substract 1st from 2nd to get: A = 0.36 (price of an apple) Substitute to solve for R: 4R + 5*0.36 = 3.56 4R = 1.76 R = 0.44 (prince of an orange) =================================== Cheers, Stan H.

Polynomials-and-rational-expressions/132677: 2x^2+9x-5=0 1 solutions Answer 96957 by stanbon(57203)   on 2008-03-18 19:37:26 (Show Source): You can put this solution on YOUR website! 2x^2+9x-5=0 Using the AC Method of factoring, you get: 2x^2+10x-x-5 = 0 2x(x+5)-(x+5) = 0 (x+5)(2x-1) = 0 x = -5 or x = 1/2 ===================== Cheers, Stan H.

Angles/132678: This question is from textbook Connected Mathematics2 I'm having a hard time understanding this system and I just need a break down of how to do this please. The problem is: Solve the system by using substitution 3x = 4y = 9 y = x - 3 This is in Prentice Hall Connected Mathematics 2 Book Grade Eight 1 solutions Answer 96956 by stanbon(57203)   on 2008-03-18 19:35:02 (Show Source): You can put this solution on YOUR website! The problem is: Solve the system by using substitution 3x = 4y + 9 y = x - 3 ------------ Substitute to solve for "x": 3x = 4(x-3) + 9 3x = 4x-12+9 3x = 4x-3 Subtract 3x from both sides: Add 3 to both sides: x = 3 ---------- Substitute to solve for "Y": y = x-3 y = 3-3 = 0 --------------- Solution: (3,0) ==================== Cheers, Stan H.

Linear-equations/132675: I have an slope intercept form equation of: y=0.014x-20.60, how would i write this in standard form: Ax+By=C? 1 solutions Answer 96955 by stanbon(57203)   on 2008-03-18 19:30:57 (Show Source): You can put this solution on YOUR website! y=0.014x-20.60, how would i write this in standard form: Ax+By=C ? --------------- y = (14/1000)x - (2060/100) Multiply thru by 1000 to get: 1000y = 14x + 20600 Rearrange: 14x - 1000y = -20600 ======================== Cheers, Stan H.

testmodule/132672: A=50DEGREE,B=30DEG, c=9 solve each triangle described below. round measures of sides and angles to the nearest tenth. 1 solutions Answer 96953 by stanbon(57203)   on 2008-03-18 19:27:35 (Show Source): You can put this solution on YOUR website! A=50DEGREE,B=30DEG, c=9 solve each triangle described below. round measures of sides and angles to the nearest tenth. -------------------- C = 180-(50+30) = 100 Use the law of sines: a/sin(50) = 9/sin(100) a = 9sin(50)/sin(100) a = 4.6634 ------------ b/sin(30) = 9/sin(100) b = 9sin(30)/sin100 b = 17.5610 ================ Cheers, Stan H.

absolute-value/132673: This question is from textbook Basic mathematics Marvin L. Bittinger what is the absolut value of |-7| Well it is 7 because it asks what is the real vaule alone without and positive or negitive 1 solutions Answer 96952 by stanbon(57203)   on 2008-03-18 19:19:11 (Show Source): You can put this solution on YOUR website! |-7| = 7 ============= Cheers, Stan H.

Mixture_Word_Problems/132659: A nontoxic floor wax can be made by combining lemmon juice and food-grade linseed oil. The amout of lil should be twice the amount of lemmon juice. How much of each ingredient is needed to make 32oz of floor wax? The mix should be spread on a rag and buffed dry. 1 solutions Answer 96951 by stanbon(57203)   on 2008-03-18 19:17:49 (Show Source): You can put this solution on YOUR website! A nontoxic floor wax can be made by combining lemmon juice and food-grade linseed oil. The amount of linseed oil should be twice the amount of lemmon juice. Let amt. of linseed oil be "2x"; Amt of lemmon juice is "x". -------------- How much of each ingredient is needed to make 32oz of floor wax? 2x + x = 32 3x = 32 x = 32/3 oz (amount of lemmon juice) 2x = 64/3 oz (amount of linseed oil) ============== Cheers, Stan H.

Quadratic_Equations/132649: A hot cup of coffee is left outside where it cools exponentially. The temperature, T, of the coffee in degrees Celsius after t minutes is modeled by the function T=66(b)^(x/2)+17. The temperature of the coffee after 9 minutes is 56 degrees Celsius. What is the rate of cooling? I think the answer is 3% every two minutes???? 1 solutions Answer 96943 by stanbon(57203)   on 2008-03-18 18:21:19 (Show Source): You can put this solution on YOUR website! A hot cup of coffee is left outside where it cools exponentially. The temperature, T, of the coffee in degrees Celsius after t minutes is modeled by the function T=66(b)^(x/2)+17. The temperature of the coffee after 9 minutes is 56 degrees Celsius. What is the rate of cooling? I think the answer is 3% every two minutes???? ---------------------------------------------------- T=66(b)^(x/2)+17 --------------- 56 = 66*b^(9/2)+17 39 = 66*b^(9/2) 13/22 = b^(9/2) Raise both sides to the (2/9) to solve for b: b = 0.889666.... ------------------------- Formula: T(x) = 66*(0.889666)^(x/2) + 17 T(0) = 66*(1)+17 T(0) = 83 degrees T(9) = 56 degrees --------------------- Average = (56-83)/9 = -3 degrees per minute =========================== Cheers, Stan H.

Quadratic_Equations/132648: Collect like terms. 17y-y= 1 solutions Answer 96936 by stanbon(57203)   on 2008-03-18 17:53:00 (Show Source): You can put this solution on YOUR website! 17y-y= 16y --------------- Cheerd, Stan H.

Equations/132644: x/5=5 Is the answer 28? 1 solutions Answer 96933 by stanbon(57203)   on 2008-03-18 17:50:57 (Show Source): You can put this solution on YOUR website! x/5=5 Multiply both sides by 5 to get: x = 5*5 x = 25 ---------------- Cheers, Stan H.

Equations/132641: Solve for x using the addition principle. x + 16 = -8 I have to admit that i am at a total loss. When i decided to take online classes i didnt know algebra would be one of them. Please help me. I am too old for this lol. 1 solutions Answer 96929 by stanbon(57203)   on 2008-03-18 17:48:19 (Show Source): You can put this solution on YOUR website! x + 16 = -8 Add -16 to both sides of the equation to get: x+16+(-16) = -8+(-16) x + 0 = -24 x = -24 ============== Cheers, Stan H.

Quadratic_Equations/132629: The length of a rectangle is three times the width. The area is 108 cm squared. Find the dimensions of the rectangle. 1 solutions Answer 96927 by stanbon(57203)   on 2008-03-18 17:44:53 (Show Source): You can put this solution on YOUR website! The length of a rectangle is three times the width. The area is 108 cm squared. Find the dimensions of the rectangle. ---------------- Let width be "x". Length is "3x" EQUATION: x(3x) = 108 3x^2 = 108 x^2 = 36 x = 6 (width) 3x=18 (length) ==================== Cheers, Stan H.