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 Graphs/635718: Radical Expression..I need assistance with this please..thanks so much.. If Mary can paint one room in 100 minutes, and Jake can paint one room in 150 minutes, how long will it take if they work together?1 solutions Answer 400500 by ewatrrr(10682)   on 2012-08-08 09:18:49 (Show Source): You can put this solution on YOUR website! ``` Hi, If Mary can paint one room in 100 minutes, and Jake can paint one room in 150 minutes, how long will it take if they work together? Question states*** PER min Key 1/100 + 1/150 = 1/x |Multiplying thru by 300x so as all denominators = 1 3x + 2x = 300 5x = 300 x = 60min or 1 hr together ```
 Rate-of-work-word-problems/635716: A can do half as much work as B in the same time and B can do one third as much work as C. If they can finish the work in 12 days, find in how many days can each finish the work. Solution: Let C does 1 work in x days, then C = 1/x, B = 1/3x, A = 1/16x Total work = 1 or, 12(1/x + 1/3x + 1/6x) = 1 Or, x = 1/18 So, C = 18 days, B = 54 days, C = 108 days. Am I right ? I am not sure.1 solutions Answer 400499 by ewatrrr(10682)   on 2012-08-08 09:14:33 (Show Source): You can put this solution on YOUR website! ``` Hi, Let C does 1 work in x days, then C = 1/x, B = 1/3x, A = 1/6x Total work = 1 or, 12(1/x + 1/3x + 1/6x) = 1 prefer to think of it in this manner: work/day (1/x + 1/3x + 1/6x) = 1/12 |Multiplying thru by 12x so as all denominators = 1 12 + 4 + 2 = x Or, x = 18 So, C = 18 days, B = 54 days, C = 108 days Yes. Good Work. ```
 Equations/635700: Find the x and y intercepts and graph the equation plotting the intercepts. -5x+9y= -45 1 solutions Answer 400497 by ewatrrr(10682)   on 2012-08-08 09:04:37 (Show Source): You can put this solution on YOUR website! ``` Hi, -5x+9y= -45 or y = (5/9)x - 5 Finding the y-intercept (, _) + 9y = -45 y = -5 || the y-intercept (, -5) Finding the x-intercept ( _, ) -5x -2· = -45 x = 9 || the x-intercept is (9 , ) Plot (0,-5) and (9,0) and connect with a Line ```
 logarithm/635701: What is the value of log2? By calculator it comes 0.3010 but how it can be get from log table or any other method. Please guide me Thanks1 solutions Answer 400496 by ewatrrr(10682)   on 2012-08-08 08:59:00 (Show Source): You can put this solution on YOUR website! ``` Hi, Yes, log2 = .3010 (rounded off to nearest 10-thousandths Can read it as well off logarithm chart for base 10 Important thing is that log2 = .3010 because 10^.3010 = 2 (rounded to a whole number) KNowing is not only important, makes one better understand what log2 is. ```
 Travel_Word_Problems/635710: If Keesha's car averages 25 miles per gallon, how much gas did it take for the 310 mile trip?1 solutions Answer 400495 by ewatrrr(10682)   on 2012-08-08 08:53:22 (Show Source): You can put this solution on YOUR website! ``` Hi, If Keesha's car averages 25 miles per gallon, how much gas did it take for the 310 mile trip? |Cross Multiply to solve for x ```
 Equations/635694: You stuffed 108 envelopes in 45 minuets. At this rate how many envelopes can you stuff in 2 hours.1 solutions Answer 400490 by ewatrrr(10682)   on 2012-08-08 08:40:07 (Show Source): You can put this solution on YOUR website! ``` Hi, You stuffed 108 envelopes in 45 minutes. At this rate how many envelopes can you stuff in 2 hours. Inquiry Sets Up the proportion: } Cross Multiply to solve for x (3/4)x = 216 x = 216(4/3) = 288 envelopes can be stuffed in 2 hours. ```
 Trigonometry-basics/635686: Hi, The question I'm having trouble with is, solve , for 0 < x < 2(pi) I've tried expand and collecting to one side; but I've found that that taking cos(x) as a factor will only lead bead to the beginning. Thankyou1 solutions Answer 400487 by ewatrrr(10682)   on 2012-08-08 08:31:59 (Show Source): You can put this solution on YOUR website! ``` Hi |factoring out cos(x) is the correct idea cos(x) = 0 0r sin(x) = Find x below on the (cosx,sinx) unit circle summary ```
 Square-cubic-other-roots/635698: Hello, please help me find the x in the roots of x^3+6x^2-4x-24 = 0 thanks!1 solutions Answer 400484 by ewatrrr(10682)   on 2012-08-08 08:14:43 (Show Source): You can put this solution on YOUR website! ``` Hi, x^3+6x^2-4x-24 = 0 | x= 2 is a root, 8 + 24 -8 - 24 = 0 Synthetic Division... 2 1 6 -4 -24 2 16 24 1 8 12 0 Yields: x^2 +8x + 12 = 0 (x + 6)(x + 2) = 0 x = -6 0r x = -2 Roots: -6, -2, 2 ```
 Rational-functions/635499: Find all of the roots: 4x^4=12x^21 solutions Answer 400381 by ewatrrr(10682)   on 2012-08-07 16:49:57 (Show Source): You can put this solution on YOUR website! ``` Hi, 4x^4=12x^2 x^2 = 3 x = ± ```
 Rational-functions/635506: find all of the roots x^2 -1=01 solutions Answer 400380 by ewatrrr(10682)   on 2012-08-07 16:48:49 (Show Source): You can put this solution on YOUR website! ``` Hi, x^2 -1=0 x^2 = 1 x = ± 1 ```
 Rational-functions/635502: Find all the roots : x^4-30x^+125=01 solutions Answer 400378 by ewatrrr(10682)   on 2012-08-07 16:47:49 (Show Source): You can put this solution on YOUR website! ``` Hi, Assume you meant: x^4-30x^2+125=0 (x^2 - 25)(x^2-5) = 0 x^2 = 25 x = ± 5 x^2 = 5 x = ± ```
 Polynomials-and-rational-expressions/635489: Hello! I need help finding the exact roots of this polynomial g(x)=2x^4-5x^3+9x^2-20x+4 if 2i is a zero I'd really appreciate the help, thank you so much for taking your time out of your busy day! :)1 solutions Answer 400377 by ewatrrr(10682)   on 2012-08-07 16:42:34 (Show Source): You can put this solution on YOUR website! ``` Hi, g(x)=2x^4-5x^3+9x^2-20x+4 2i is a zero, therefore so is -2i and (x-2i)(x+2i) = x^2 + 4 x^2 + 4 |2x^4-5x^3+9x^2-20x+4 gives: 2x^2 -5x + 1 the other two roots ```
 percentage/635496: I need to find the percent of increase or percent of decrease; from 68 min to 51min1 solutions Answer 400375 by ewatrrr(10682)   on 2012-08-07 16:34:06 (Show Source): You can put this solution on YOUR website! ``` Hi, Previously Posted from 68 min to 51 min? or 25% decrease ```
 percentage/635498: I need to find the percent of increase or a pecent of decrease;from 68 mn to 51 min?1 solutions Answer 400374 by ewatrrr(10682)   on 2012-08-07 16:33:24 (Show Source): You can put this solution on YOUR website! ``` Hi, from 68 min to 51 min? or 25% decrease ```
 Surface-area/635492: The questions is to Find the volume. Use 31.4 as the approximate value of pie. Round answers to the nearest tenth. Its a cylinder with top 7m and height 11m Which is the correct answer; A)423.1m B)120.9m C)241.8m D)1,692.5m1 solutions Answer 400372 by ewatrrr(10682)   on 2012-08-07 16:26:36 (Show Source): You can put this solution on YOUR website! ``` Hi, cylinder with top 7m and height 11m Assuming the 7m is the diameter ( r = 3.5) V = = 423.1 m^3 (rounded to the nearest tenth ```
 Rational-functions/635482: Rational Expressions..I really need help with this problem..I appreciate it so much, and thank you. A sample of 320 mobile phone batteries contained 16 defective batteries. How many defective batteries would you expect to find in a sample of 3000?1 solutions Answer 400370 by ewatrrr(10682)   on 2012-08-07 16:20:01 (Show Source): You can put this solution on YOUR website! ``` Hi, A sample of 320 mobile phone batteries contained 16 defective batteries. How many defective batteries would you expect to find in a sample of 3000? Inquiry sets Up the Proportion | Cross Multiply to solve for x ```
 Quadratic_Equations/635476: A ball is tossed from a window that is 10 feet off the ground. The height, h (in feet), of the ball at any time, t (in seconds), is given by the equation h = - 16 t^2 + 12x + 10. What is the maximum height (in feet) that the ball will reach?1 solutions Answer 400356 by ewatrrr(10682)   on 2012-08-07 15:35:46 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: the vertex form of a Parabola opening up(a>0) or down(a<0), where(h,k) is the vertex and x = h is the Line of Symmetry h = - 16 t^2 + 12x + 10 h = -16(x - 3/8) + 16(9/64) + 10 h = -16(x - 3/8) + 9/4 + 40/4 \ parabola opening Downward a = -16 < 0 h = -16(x - 3/8) + 49/4 Vmax(3/8, 12.25) 12.25 ft the maximum height that the ball will reach ```
 logarithm/635470: log[4](x-8)=log[4](x-8)=1 I need to solve the equation algebraically Thank you!1 solutions Answer 400346 by ewatrrr(10682)   on 2012-08-07 15:04:00 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: 4^1 = x-8 12 = x ```
 logarithm/635464: By measuring the decay of radioactive carbon-14, scientists can estimate the age of the remains of living things. Carbon-14 decays at a rate of 0.0121% per year (or retains 99.9879% of its radioactivity). a. Write a rule for the function that gives the amount of a 5-mg lab sample remaining t years after its mass is first measured. b. Find the half-life of carbon-14. Thank you so much! Also, thank you for your time in helping me!1 solutions Answer 400344 by ewatrrr(10682)   on 2012-08-07 14:25:32 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the half-life of carbon-14. ln(2)/.0121 = t = 57.2849 yrs the 'ln' function is on scientific calculators ln(2) being a symbol for Using a caculator, this is the quickest way to do decay problems enter 2, hit ln and then / .0121 ```
 logarithm/635461: I have to use the properties of logarithms to rewrite the expression as a single logarithm. 4log(small m)x-7log(small m)q^2 please help, thank you :)1 solutions Answer 400343 by ewatrrr(10682)   on 2012-08-07 14:15:22 (Show Source): You can put this solution on YOUR website! ``` Hi, ```
 Quadratic_Equations/635459: Hi! Could someone help me out here. I think I am "overthinking" this, and can not find my notes on this type of problem. Thanks. Use the quadratic formula to solve the equation. Please provide a solution set for this problem. Thank you so much. x^2.- 3x= -5 1 solutions Answer 400342 by ewatrrr(10682)   on 2012-08-07 14:07:34 (Show Source): You can put this solution on YOUR website! ``` Hi, x^2- 3x= -5 x^2 - 3x + 5 = 0 | Putting into ax^2 + bx + c = 0 Format Quadratic formula | Note i^2 = -1 ```
 Probability-and-statistics/635451: Can someone let me know if i'm on the right track here? A bag contains 8 green, 4 red, 5 yellow, and 6 blue marbles. Four marbles are drawn from the box at the same time. A. What is the probability that all four are the same color? B. What is the probability that none of the marbles are blue? C. What is the probability that you get one marble of each color? D. What is the probability that you draw more than 2 green? I'm not sure if I am on the right track here or not... A. P(all same color) = 8C4+4C4+5C4+6C4/23C4 = 91/8855 B. P (non are blue) = 17C4/23C4= 2380/8855 C. P (one of each) = 8*4*5*6/23C4 = 960/8855 D. P (More than 2 green) = 8C3*15C1=840 (3 yellow) 8C4*15C0=70 (4 yellow) 840+70/23C4= 910/8855 Any help would be greatly appreciated1 solutions Answer 400328 by ewatrrr(10682)   on 2012-08-07 13:00:54 (Show Source): You can put this solution on YOUR website! ``` Hi, A bag contains marbles: 8 green, 4 red, 5 yellow, and 6 blue marbles Four marbles are drawn from the box at the same time. 23C4 = 8855 total possiblities A. P(all same color) = 8C4+4C4+5C4+6C4/23C4 = 91/8855 Yes! B. P (non are blue) = 17C4/23C4= 2380/8855 Yes! C. P (one of each) = = 8*4*5*6/(23C4)= 960/8855 Yes! D. P (More than 2 green) = 8C3*15C1=840 (3 yellow) 8C4*15C0=70 (4 yellow) 840+70/23C4= 910/8855 Yes! Good work! ```
 Quadratic-relations-and-conic-sections/635443: Find the vertex, the line of symmetry, and the maximum/minimum value of f(x), graph the funciton. f(x)= 1/4(x+9)²+1 + The vertex is + The line of Symmetry is + What is the max/min value of f(x)? + Is the value of, f (-9)=1, a maximum or a minimum + Graph1 solutions Answer 400326 by ewatrrr(10682)   on 2012-08-07 12:45:10 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: the vertex form of a Parabola opening up(a>0) or down(a<0), where(h,k) is the vertex and x = h is the Line of Symmetry f(x)= 1/4(x+9)²+1 + The vertex is (-9,1) parabola opens Upward: a = 1/4 > 0 + The line of Symmetry is x = -9 + What is the max/min value of f(x): min value is 1 + Is the value of, f (-9)=1, a maximum or a minimum ```
 Quadratic_Equations/635441: If the path of a diver diving from a diving board is given by the model: h = - 0.44t^2 + 2.2t + 10 where the h represents the height of the diver at t seconds after she leaves the board. Find the time (in seconds) that it takes for her to reach the maximum height for the dive.1 solutions Answer 400325 by ewatrrr(10682)   on 2012-08-07 12:27:46 (Show Source): You can put this solution on YOUR website! ``` Hi, h = - 0.44t^2 + 2.2t + 10 t-value at the maximum height is = ```
 Linear-equations/635438: A farmer buys 100 animals for 100 dollars but lost his receipt. Cows are \$20 each, pigs are \$6 each and chicks are \$1.00 each. How many of each did he buy? 1 solutions Answer 400324 by ewatrrr(10682)   on 2012-08-07 12:15:34 (Show Source): You can put this solution on YOUR website! ``` Hi, Cows are \$20 each, pigs are \$6 each and chicks are \$1.00 each buys 100 animals for 100 dollars works ```
 Polynomials-and-rational-expressions/635439: Television sets. What does it mean to refer to a 20 inch Tv set or a 25 inch TV set? Such units refer to the diagonal of the screen. A 15 inch TV set also has a width of 12 inches. What is its height? What is the height of a 15 inch TV? 1 solutions Answer 400323 by ewatrrr(10682)   on 2012-08-07 12:09:37 (Show Source): You can put this solution on YOUR website! ``` Hi, What is the height of a 15 inch TV with w = 12? (15in being the diagonal of the screen) Applying the Pythagorean Theorem ```
 Quadratic_Equations/635436: The function f(x) = 0.0037x^2 – 0.46x +36.63 models the average age at which Kentucky men were first married x years after 1900. In which year was this average age at a minimum? 1 solutions Answer 400322 by ewatrrr(10682)   on 2012-08-07 12:05:32 (Show Source): You can put this solution on YOUR website! ``` Hi, f(x) = 0.0037x^2 – 0.46x +36.63 x-value of the minimum pt = rounded to nearest whole number In which year was this average age at a minimum? 1962 ```
 Probability-and-statistics/635427: Suppose that an experiment is repeated four times. A certain event has probability 1/10 in a single repetition of the experiment. What is the probability that it never occurs?1 solutions Answer 400321 by ewatrrr(10682)   on 2012-08-07 11:28:17 (Show Source): You can put this solution on YOUR website! ``` Hi, Suppose that an experiment is repeated four times. A certain event has probability 1/10 in a single repetition of the experiment. P = nCx* where p and q are the probabilities of success and failure respectively. In this case p = .1 and q = .9 , n = 4 P(x = 0) = | nCx = ```
 Quadratic_Equations/635426: Suppose that the equation p(x) = -5x^2 + 600x +100 (where x represents the number of items sold), describes the profit function for a certain business. How many items should be sold to maximize the profit?1 solutions Answer 400320 by ewatrrr(10682)   on 2012-08-07 11:20:00 (Show Source): You can put this solution on YOUR website! ``` Hi, p(x) = -5x^2 + 600x +100 = p(x) = -5(x-60)^2 + 18100 |Completing the Square, Vmax = (60,18100) at 60 units sold, profit is at a maximum ```
 Rectangles/635419: the length of a rectangular garden is 7 feet longer then its width. the perimeter of the garden is 28 feet . what is the length and with of the garden?1 solutions Answer 400319 by ewatrrr(10682)   on 2012-08-07 11:12:34 (Show Source): You can put this solution on YOUR website! ``` Hi, the length of a rectangular garden is 7 feet longer then its width. Question states***perimeter of the garden is 28 feet 0r L + W = 14ft L + W = 14ft | L = W +7 (W+7) + W = 14 2W = 7 W = 7/2 ft of ft width is 3.5 ft and length is 10.5 ft and... ```
 Probability-and-statistics/635420: Twenty-six small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 44.5 cases per year. (a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit = upper limit = margin of error = (b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit = upper limit = margin of error = (c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit = upper limit = margin of error = 1 solutions Answer 400318 by ewatrrr(10682)   on 2012-08-07 11:00:43 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: z-values for various confidence levels 90% z = 1.645 95% z = 1.96 98% z = 2.33 99% z = 2.576 a) ME = 1.645(44.5/sqrt(10000)= .732 138.5 - ME < < 138.5 + ME b)ME = 1.96(44.5/sqrt(10000)= .873 138.5 - ME < < 138.5 + ME c)ME = 2.576(44.5/sqrt(10000)= 1.146 138.5 - ME < < 138.5 + ME ```