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Recent problems solved by 'stanbon'

stanbon answered: 57151 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, >>Next

Miscellaneous_Word_Problems/446736: a(T)=-2t(squared)+32T+12 the amount of nitrogen dioxide A was present in the air. T is the number of hours after 6 am. Use this function to find the time at which the nitrogen dioxide level was at its maximum. Graph the parabola. 1 solutions Answer 307634 by stanbon(57219)   on 2011-05-08 20:53:07 (Show Source): You can put this solution on YOUR website! a(T)=-2t(squared)+32T+12 the amount of nitrogen dioxide A was present in the air. T is the number of hours after 6 am. Use this function to find the time at which the nitrogen dioxide level was at its maximum. Graph the parabola. --------------------- a(T) = -2T^2+32T+12 ---- Quadratic with a = -2 ; b = 32 --- Max occurs when T = -b/(2a) = -32/(2*-2) = 8 hrs --- Time at max nitrogen dioxide level 6am + 8 hr = 2pm ======================================================= Cheers, Stan H.

Surface-area/446710: Thank you for answering my question before, but my teacher said it was still wrong. The main word in the equation is 'hemisphere' she said....so now I am very confused =(. The question is: find the surface area of the hemisphere with radius 3 cm in terms of pi. it is not 36 pi cm 2. 1 solutions Answer 307619 by stanbon(57219)   on 2011-05-08 20:20:16 (Show Source): You can put this solution on YOUR website! find the surface area of the hemisphere with radius 3 cm in terms of pi. it is not 36 pi cm 2. ---------------- The surface area of a sphere is 4(pi)r^2 ------------------------------------- Your Problem: The surface area of a hemisphere = (1/2)4(pi)*3^2 --- = 2(pi)9 = 18(pi)cm^2 --- = 56.55.. cm^2 ======================= Cheers, Stan H.

Linear_Equations_And_Systems_Word_Problems/446703: Please help me solve!!!! Luke has two solutions with strengths of 10% and 20% . Find the amount of the 10% and 20% solution if he mixes to get 20 liters of 18% saline solution? 1 solutions Answer 307617 by stanbon(57219)   on 2011-05-08 19:59:06 (Show Source): You can put this solution on YOUR website! Find the amount of the 10% and 20% solution if he mixes to get 20 liters of 18% saline solution? ------ Assume the active ingredient is "ai" ----- Equation: ai + ai = ai --- 0.10x + 0.20(20-x) = 0.18*20 ---------------------------------- Multiply by 100: 10x + 20*20-20x = 18*20 ---- -10x = -2*20 x = 4 liters (amt of 10% solution needed) ---- 20-x = 16 liters (amt of 20% solution needed) ================================================ Cheers, Stan H.

Exponential-and-logarithmic-functions/446668: I have figured out that the +2 is not (x+2) but -log(3x)+2. I know that the x-intercept for this logarithm is (9,0) and that this log graphs in Quadrant I with a vertical asymptote being the y-axis. The graph crosses into quadrant IV through point (9,0). I am suppose to convert and plot this logarithm as an exponent. Then using the X,Y points I devise, invert and use to plot the logarithm. I am not able to convert to an exponent as I do not know how to handle the +2. I can't seem to reverse engineer this using the points (9,0) either as the negative sign prevents this. I'm pretty stuck. I would really love some kind of hints to solving this one. Thank you so much for your time and expertise!! 1 solutions Answer 307613 by stanbon(57219)   on 2011-05-08 19:45:17 (Show Source): You can put this solution on YOUR website! y = -log(3x)+2 --- ================================================== Determine the inverse: 1st: Interchange x and y. --- x = -log(3y)+2 ---- 2nd: Solve for "y": -log(3y) = x-2 --- log(3y) = 2-x --- 3y = 10^(2-x) y = (1/3)*10^(2-x) --- That is the inverse function. 3rd: Graph both on the same set of axes: ============================================================== Cheers, Stan H.

Equations/446685: 3x - y x=3/5 and y= 2 1/2 1 solutions Answer 307603 by stanbon(57219)   on 2011-05-08 18:55:50 (Show Source): You can put this solution on YOUR website! (3x)/y x=3/5 and y= 2 1/2 ---------------------------- (3*(3/5))/(5/2) ----- = (9/5)/(5/2) --- = (9/5)*(2/5) ------ = 18/25 ============== Cheers, Stan H. ==============

Linear-equations/446679: Find the slope and the y-intercept. 10 - 1/4y-3x The slope is ? The y-intercept is (0,?) 1 solutions Answer 307602 by stanbon(57219)   on 2011-05-08 18:51:28 (Show Source): You can put this solution on YOUR website! The equality sign is missing. Cheers, Stan H.

Linear-equations/446677: The fax mailer bought a fax machine for $600. The fax machine depreciates at a rate of $20.a month. Find a function F that can be used to determine the value of the fax machine t months after purchase. Complete the model and graph. F(t)= ? 1 solutions Answer 307601 by stanbon(57219)   on 2011-05-08 18:47:09 (Show Source): You can put this solution on YOUR website! The fax mailer bought a fax machine for $600. The fax machine depreciates at a rate of $20.a month. Find a function F that can be used to determine the value of the fax machine t months after purchase. Complete the model and graph. F(t) = 600 - 20m ---- ----- Cheers, Stan H. =========

Probability-and-statistics/446665: A random sample of 100 adult workers, 60 men and 40 women, is selected in a large Midwestern city. Of the group, 42 men and 17 women are union members. Does union membership differ on the basis of gender? State the independent and dependent variables. 1 solutions Answer 307599 by stanbon(57219)   on 2011-05-08 18:40:40 (Show Source): You can put this solution on YOUR website! A random sample of 100 adult workers, 60 men and 40 women, is selected in a large Midwestern city. Of the group, 42 men and 17 women are union members. Does union membership differ on the basis of gender? State the independent and dependent variables. ---------------------------- .................union...........non-union men...............42................58........100 women.............17................83........100 ============================ Ho: row and column factors are independent Ha: they are dependent ------------- I ran a Chi-Sq test on the data and got the following: test statistic: Chi-Sq = 15.026 p-value: 0.00010605 ======================= Conclusion: Since the p-value is less than 5%, reject Ho. the test result supports the conclusion there is a relation of union membership to gender. ======================= Cheers, Stan H.

Exponential-and-logarithmic-functions/446667: Solve: log12(m^2 + 73) = log12(17m + 3) 1 solutions Answer 307593 by stanbon(57219)   on 2011-05-08 18:21:01 (Show Source): You can put this solution on YOUR website! Solve: log12(m^2 + 73) = log12(17m + 3) --------------- Solve: m^2+73 = 17m+3 --- m^2-17m+70 = 0 --- Use Inverse-FOIL to Factor: m^2-10m-7m+70 = 0 ------ m(m-10)-7(m-10) = 0 --- (m-10)(m-7) = 0 --- m = 10 or m = 7 =========================== Cheers, Stan H.

Linear-systems/446658: A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. 1 solutions Answer 307592 by stanbon(57219)   on 2011-05-08 18:16:45 (Show Source): You can put this solution on YOUR website! A small company produces both bouquets and wreaths of dried flowers. -------------------------- The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. -------------------------- The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. -------------------------- Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. ------ Labor Inequality: x + 2y <= 80 Production Inequal: x + y <= 60 ================================== Cheers, Stan H. ==========

Polynomials-and-rational-expressions/446646: Could someone please help me with this? I do not understand it at all, thank you so much. In some other universe, K. Pack believes he has discovered a relationship between a planet’s distance D from its sun and the time T it takes to orbit its sun. This formula T= √D³ where T is in earth years and D=1 corresponds to the distance between earth and our sun, or 93,000,000 miles. (a) Planet Eta is 33 times farther from its sun than earth is to our sun. Estimate the number of earth years required for Eta to orbit its sun according to K. Pack’s formula. a.) Planet Eta takes ? (how many) Earth years to orbit its sun. (round to the nearest tenth as needed) (b) Write this formula with rational exponents. √(D³= ?) (Simplify your answer. Use integers or fractions for any numbers in the expression) 1 solutions Answer 307591 by stanbon(57219)   on 2011-05-08 18:09:45 (Show Source): You can put this solution on YOUR website! In some other universe, K. Pack believes he has discovered a relationship between a planet’s distance D from its sun and the time T it takes to orbit its sun. -------------- This formula T= √D³ = D^(3/2) where T is in earth years and D=1 corresponds to the distance between earth and our sun, or 93,000,000 miles. ----- (a) Planet Eta is 33 times farther from its sun than earth is to our sun. Estimate the number of earth years required for Eta to orbit its sun according to K. Pack’s formula. ---- T = D^(3/2) T = 33^(3/2) = 189.57 years a.) Planet Eta takes 189.6 Earth years to orbit its sun. (round to the nearest tenth as needed) ============================== Cheers, Stan H. =============== (b) Write this formula with rational exponents. √(D³= ?)

Polynomials-and-rational-expressions/446647: I need to round this to the nearest hundreth, can someone please help me I have problems rounding. Thanks so much. I= 7920/520= ?? 1 solutions Answer 307589 by stanbon(57219)   on 2011-05-08 17:59:00 (Show Source): You can put this solution on YOUR website! I= 7920/520 --- I = 15.23 ==================== Cheers, Stan H.

Miscellaneous_Word_Problems/446645: The rate of heat lost through a 3.5 inch thickness of insulation is 2200 Btu per hours. What is the rate of heat lost through a 5-inch thickness of the same insulation? 1 solutions Answer 307588 by stanbon(57219)   on 2011-05-08 17:56:13 (Show Source): You can put this solution on YOUR website! The rate of heat lost through a 3.5 inch thickness of insulation is 2200 Btu per hours. What is the rate of heat lost through a 5-inch thickness of the same insulation? --- thickness and loss of heat are inversely related. --- h = k/t --- Solve for "k" using "heat lost through a 3.5 inch thickness of insulation is 2200 Btu" 2200 = k/3.5 k = 3.5*2200 = 7700 ---------------------------- Equation: h = 7700/t ---- What is the rate of heat lost through a 5-inch thickness of the same insulation? h = 7700/5 = 1540 Btu per hour ================================= Cheers, Stan H.

Travel_Word_Problems/446642: Nicole and Stand share a newspaper route. Nicole can deliver papers 3 times faster then Stan. If they work together it takes them one hour. How long will it take to deliver the papers alone? 1 solutions Answer 307586 by stanbon(57219)   on 2011-05-08 17:49:27 (Show Source): You can put this solution on YOUR website! Nicole and Stan share a newspaper route. Nicole can deliver papers 3 times faster then Stan. If they work together it takes them one hour. How long will it take to deliver the papers alone? ---- Let Stan's time = 3x hrs/job ; then his rate = 1/3x job/hr --- Nicole's time = x hrs/job ; then her rate = 1/x job/hr. -------- Together time = 1 hr/job ; their rate = 1 job/hr ------ Equation: rate + rate = 1 1/(3x) + 1/x = 1 --- Multiply thru by 3x: 1 + 3 = 3x 4 = 3x x = (4/3) hr or 1hr 20 min (time for Nicole to do the job alone) 3x = 4 hr (time for Stan to do the job alone) ================================================== Cheers, Stan H.

Linear-equations/446625: 2. Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26, and in January 2006, the price of regular unleaded gasoline was $2.31 (“Consumer price index,” 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope, or rate of change, between the two points. Describe how you arrived at your answer. 1 solutions Answer 307585 by stanbon(57219)   on 2011-05-08 17:42:33 (Show Source): You can put this solution on YOUR website! Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope, or rate of change, between the two points. --------------- slope = (2.31-1.26)/(9) = 0.1167 --- Form: y = mx+b 1.26 = 0.1167*1997 + b ----- b = 1.26-0.1167*1997 ----- b = -231.79 ================= Equation: y = 0.1167x - 231.79 =========== Cheers, Stan H.

Rectangles/446629: Their is a rectangle and its legnth is d-12 and the width is d. If the area is 28 square units, what is the value of d? 1 solutions Answer 307583 by stanbon(57219)   on 2011-05-08 17:18:28 (Show Source): You can put this solution on YOUR website! There is a rectangle and its length is d-12 and the width is d. If the area is 28 square units, what is the value of d? ---- Area = length*width --- 28 = (d-12)d d^2-12d-28 = 0 --- Factor using Inverse FOIL: d^2-14d+2d-28 = 0 d(d-14)+2(d-14) = 0 (d-14)(d+2) = 0 ---- Positive solution: width = d = 14 length = d-12 = 2 ======================= Cheers, Stan H.

logarithm/446628: 16^-3/4=1/8 1 solutions Answer 307580 by stanbon(57219)   on 2011-05-08 17:11:59 (Show Source): You can put this solution on YOUR website! 16^-3/4=1/8 ---- logarith form: base : 16 exponent or log: -(3/4) result: 1/8 --------------------------------------- Log Form: log16(1/8) = -3/4 ========================== Cheers, Stan H.

Triangles/446535: how is 2pi equal to 360 degree and difference between radian and degree 1 solutions Answer 307558 by stanbon(57219)   on 2011-05-08 15:35:59 (Show Source): You can put this solution on YOUR website! how is 2pi equal to 360 degree and difference between radian and degree ------------------- Radian is a way of measuring an angle. --- Definition: One Radian is the measure of a central subtending an arc of the circle that is as long as the radius of the circle. ----- How many radians are there in a circle? The circumference of a circle = 2(pi)r The # of radians in a circle is (2(pi)r)/r = 2(pi). So 360 degrees = 2(pi) radians. -------------------------- Note: One Radian is exactly 360/(2(pi)) = 180/pi degrees. One Radian is approximately 57.3 degrees. ============================================== Cheers, Stan H. ===================

Numeric_Fractions/446494: Use the five steps for problem solving to answer the following question. Please show all of your work. Company A charges $55 per day plus $0.35 per mile to rent a car. Company B charges $50 per day plus $0.40 per mile. Jack wants to rent a car for three days. How many miles should Jack be traveling so that Company A is less expensive than Company B? 1 solutions Answer 307499 by stanbon(57219)   on 2011-05-08 10:34:52 (Show Source): You can put this solution on YOUR website! Company A charges $55 per day plus $0.35 per mile to rent a car. A(x) = 55x + 0.35m --------------- Company B charges $50 per day plus $0.40 per mile. B(x) = 50x + 0.40m --------------- Jack wants to rent a car for three days. Solve: (55*3+0.35m) < (50*3+0.40m) --- 5*3 < 0.05m m > 15/0.05 m > 300 miles ================== Cheers, Stan H. How many miles should Jack be traveling so that Company A is less expensive than Company B?

logarithm/446498: Given log.z2 =0.356 and log .z5 =0.827 , find log.z10 1 solutions Answer 307496 by stanbon(57219)   on 2011-05-08 10:29:23 (Show Source): You can put this solution on YOUR website! Given log.z2 =0.356 and log .z5 =0.827 , find log.z10 --- log(10) = log(2*5) = log2 + log5 = 0.356+0.827 = 1.183 =============== Cheers, Stan H. ===============

Travel_Word_Problems/446497: Suppose a boat that can travel 20 mph in still water takes a 72 mile trip downriver and back. Due to a higher river flow, the current for the downriver trip was 2 mph faster than for the return trip. If the total travel time was 7 hours, how fast did the river flow for the downstream trip? How fast did the river flow for the return trip? In both cases the river flowed in the same direction. 1 solutions Answer 307494 by stanbon(57219)   on 2011-05-08 10:26:18 (Show Source): You can put this solution on YOUR website! Suppose a boat that can travel 20 mph in still water takes a 72 mile trip downriver and back. Due to a higher river flow, the current for the downriver trip was 2 mph faster than for the return trip. If the total travel time was 7 hours, how fast did the river flow for the downstream trip? How fast did the river flow for the return trip? In both cases the river flowed in the same direction. ----------- Downstream DATA: dist = 72 miles ; rate = 22+c mph ; time = 72/(22+c) hrs. ------------------ Upstream DATA: dist = 72 miles ; rate = 20-c mph ; time = 72/(20-c) hrs. ------------------ Equation: time + time = 7 hrs 72/(22+c)+72/(20-c) = 7 --- 72(20-c) + 72(22+c) = 7(22+c)(20-c) --------------- 72*20 + 72*22 = 7(440-2c-c^2) --- 7c^2+14c-56 = 0 --- c^2 + 2c - 8 = 0 --- (c+4)(c-2) = 0 -- Positive solution: current = 2 mph ========================== Cheers, Stan H. ==========================

Numeric_Fractions/446493: Carol bought a new winter coat at 35% off and paid $156. What was the original price of the coat? Please show all work. 1 solutions Answer 307490 by stanbon(57219)   on 2011-05-08 10:16:54 (Show Source): You can put this solution on YOUR website! Carol bought a new winter coat at 35% off and paid $156. What was the original price of the coat? Please show all work. ---- Let original price be "x"; Equation: x - 0.35x = 156 0.65x = 156 Divide both sides by 0.65 x = $240 =============== Cheers, Stan H.

Polynomials-and-rational-expressions/446485: (10x4-6x-15+5x3) divide(/) (2x+1) 1 solutions Answer 307486 by stanbon(57219)   on 2011-05-08 09:59:58 (Show Source): You can put this solution on YOUR website! (10x^4-6x-15+5x^3)/(2x+1) ---- Using sythetic division: -1/2)....5....5/2....0....-3....-15/2 ..........5.....0.....0.....-3...|..-6 Quotient: 5x^3-3 Remainder: -12 ================== Cheers, Stan H.

Probability-and-statistics/446318: I came up with 3 for the answer but it was incorrect. Please help: Given the numbers 11, 12, 14, 16, 10, 19, 20, 21, 23, 24. 18. Find the first quartile. 1 solutions Answer 307438 by stanbon(57219)   on 2011-05-07 22:08:50 (Show Source): You can put this solution on YOUR website! I came up with 3 for the answer but it was incorrect. Please help: Given the numbers 11, 12, 14, 16, 10, 19, 20, 21, 23, 24.18. -------- Find the first quartile. ------------------ Put the data in ascending order: 10,11, 12, 14, 16, 18, 19, 20, 21, 23, 24 ---- The 1st Quartile is the data element that has 25% of the data below it. --- There are 11 data elements. 0.25*11 = 2.75 ----- So the 3rd element is the 1st quartile element. 1st quartile = 12 ========================= Cheers, Stan H.

Probability-and-statistics/446393: Consider set {1, 2, 3, 4, 5, 6}. If a number designated 'a' is chosen from the set of numbers, and then another number designated 'b' is chosen, what is the probability that (a/b) will be an integer? I did all numbers that could get me an integer, but then none of my answers match up with any of the answer choices. 1 solutions Answer 307432 by stanbon(57219)   on 2011-05-07 21:57:45 (Show Source): You can put this solution on YOUR website! Consider set {1, 2, 3, 4, 5, 6}. If a number designated 'a' is chosen from the set of numbers, and then another number designated 'b' is chosen, what is the probability that (a/b) will be an integer? ---- Dividing by 1 you get 6 integers Dividing by 2 you get 3 integers Dividing by 3 you get 2 integers Dividing by 4 you get 1 Dividing by 5 you get 1 Dividing by 6 you get 1 --- Total integer results = 14 ---------------------------------- Totoal unresticted results: Dividing every number by 1 you get 6 Diviging every number by 2 you get 6 Each digit results in 6 fractions Total = 6*6 = 36 ============================================== Propability = 14/36 = 7/18 ======================================= Cheers, Stan H. ===================

Polynomials-and-rational-expressions/446395: factor the expression completely m^3+11m^2+28m please help mee solve ti soonnnn 1 solutions Answer 307427 by stanbon(57219)   on 2011-05-07 21:49:34 (Show Source): You can put this solution on YOUR website! m^3+11m^2+28m --- = m[m^2 + 11m + 28] --- = m[m^2+4m+7m+28] --- = m[m(m+4)+7(m+4)] ---- = m[(m+4)(m+7)] ====================== Cheers, Stan H.

Average/446394: Would I add 4 to both sides to solve this? The first step would be 5 *2 = 6 and so on, right? How to solve? 5(2x+3)≥4(6x-1) 1 solutions Answer 307426 by stanbon(57219)   on 2011-05-07 21:47:00 (Show Source): You can put this solution on YOUR website! How to solve? 5(2x+3)≥4(6x-1) ------------------ 10x+15 >= 24x-4 ----- Subtract 10x from both sides. Add 4 to both sides. --------------------------- 19 >= 12x ---- Divide both sides by 12. --- 19/12 >= x ----- Write from left to right: x <= 19/12 =================== Cheers, Stan H. ===================

test/446392: Hi, can someone please help me solve the following... x^2 + y^2 = 14, x^2 - y^2 = 4 1 solutions Answer 307425 by stanbon(57219)   on 2011-05-07 21:43:34 (Show Source): You can put this solution on YOUR website! x^2 + y^2 = 14, x^2 - y^2 = 4 -------------- Add and solve for "x^2": 2x^2 = 18 x^2 = 9 x = +3 or x = -3 --- If x = +3 or -3 solve for "y": y^2 = 14-9 y^2 = 5 y = sqrt(5) or y = -sqrt(9) ---- Ans: (3,sqrt(5))or (-3,sqrt(5)) or (3,-sqrt(5)) or (-3,-sqrt(5)) ===================== Cheers, Stan H. =====================

Equations/446390: Find the x- and y-intercepts and graph the equation -6x-3y=27, plotting the intercepts. 1 solutions Answer 307424 by stanbon(57219)   on 2011-05-07 21:39:35 (Show Source): You can put this solution on YOUR website! Find the x- and y-intercepts and graph the equation -6x-3y=27, plotting the intercepts. ----------------------- -6x-3y=27 x-intercept = ? Let y = 0, then -6x = 27 x = -4.5 ----------- y-intercept = ? Let x = 0, then -3y = 27 y = -9 -------------------------- Plot (-4.5,0) and (0,-9) Draw a line thru them to see the graph. ------------------------------------- Cheers, Stan H.

Money_Word_Problems/446380: 4.242 x 10 ^2 _____________ 2.10 x 10^-4 1 solutions Answer 307421 by stanbon(57219)   on 2011-05-07 21:33:06 (Show Source): You can put this solution on YOUR website! 4.242 x 10 ^2 _____________ 2.10 x 10^-4 ------------------------ = (4.242/2.1) x 10^6 ---- = 2.02*10^6 ------------------- = 2,020,000 ======================= Cheers, Stan H. =============

Probability-and-statistics/446381: In how many ways can 2 letters be chosen from [R,S,T,U,V}, assuming that the order of the choices doesn't matter and that repeats are not allowed? 1 solutions Answer 307419 by stanbon(57219)   on 2011-05-07 21:28:07 (Show Source): You can put this solution on YOUR website! In how many ways can 2 letters be chosen from [R,S,T,U,V}, assuming that the order of the choices doesn't matter and that repeats are not allowed? ------------------ Ans: 5C2 = 10 ways ======================== Cheers, Stan H.