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# Recent problems solved by 'ewatrrr'

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 Graphs/613282: I need to show the graph of this function.... f(x)=|x|1 solutions Answer 385927 by ewatrrr(10682)   on 2012-05-21 11:33:01 (Show Source): You can put this solution on YOUR website! ``` Hi, f(x)=|x| Note: f(x) ≥ 0 ```
 Sequences-and-series/613268: Find the sum of the first four terms of the geometric sequence that starts with 3 and has r = 8. Find the sum of the following infinite geometric series, if it exists. 4 + 3 + 2.25 + 1.6875 +…1 solutions Answer 385926 by ewatrrr(10682)   on 2012-05-21 11:19:49 (Show Source): You can put this solution on YOUR website!``` Hi, Find the sum of the first four terms of the geometric sequence that starts with 3 and has r = 8. = 3(-4095/-7) = 1755 Find the sum of the following infinite geometric series, if it exists. 4 + 3 + 2.25 + 1.6875 +… = = = 16 ```
 �t�e�s�t/613271: When the digits of a two-digit number are reversed, the result is another two-digit number that is 62.5% smaller than the original number. What is the original number ?1 solutions Answer 385924 by ewatrrr(10682)   on 2012-05-21 10:59:13 (Show Source): You can put this solution on YOUR website!``` Hi, Let x and y represnt the ten and unit digits of the original number. Note: .625 = 5/8 When the digits of a two-digit number are reversed, the result is another two-digit number that is 62.5% smaller than the original number 62.5% smaller or 3/8 of original number 10y + x = (3/8)(10x+y) 80y + 8x = 30x + 3y 77y = 22x 7/2 = x/y Original number is 27 = 3/8(72) ```
 �t�e�s�t/613269: The mean of the first four terms in an arithmetic sequence is 77. When the fifth and sixth terms are included, the mean increases by 32. What is the first term in this sequence?1 solutions Answer 385920 by ewatrrr(10682)   on 2012-05-21 10:34:15 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: *** 218 - 154 = 2d 32 = d *** 154 = 2a[1] + 96 29 = a[1] 218 = 58 + 160 ```
 Quadratic_Equations/613262: Given the following revenue and cost functions, find the x-value that makes profit a maximum. (Re2all that profit equals revenue minus cost.) R(x) = 55x - 2x^2; C(x) = 21x + 981 solutions Answer 385919 by ewatrrr(10682)   on 2012-05-21 10:21:13 (Show Source): You can put this solution on YOUR website! ``` Hi, R(x) = 55x - 2x^2 C(x) = 21x + 98 P(x) = 55x - 2x^2 -(21x + 98) P(x) = -2x^2 + 34x - 98 x = 8.5 makes max profit ```
 Miscellaneous_Word_Problems/613260: This one has me stumpted! Could someone explain? A cyclindrical aquarium is designed with a base diameter of 5 feet and a height of 6 feet. If 3.14 is used for pie, what is the approximate volume of the aquarium to the nearest cubic foot. A. 38 B. 118 C. 471 D. 1,884 1 solutions Answer 385918 by ewatrrr(10682)   on 2012-05-21 10:07:49 (Show Source): You can put this solution on YOUR website! ``` Hi, cyclindrical aquarium is designed with a base diameter of 5 feet and a height of 6 feet. V = = 118 ft^3, rounded to the nearest whole number ```
 test/613240: At 10 weeks old a puppy weighs 9 pounds. At 30 weeks old the puppy weighs 24 pounds. Assume that puppy weight is a linear function in time in weeks for the first year. If thou opt growth is graphed with weeks on the x axis and pounds on the y axis, what is the slope of the graph? What is an equation of the line? How much did the puppy weigh when it was born? At what age will the puppy weigh 30 pounds?1 solutions Answer 385916 by ewatrrr(10682)   on 2012-05-21 09:59:33 (Show Source): You can put this solution on YOUR website! ``` Hi, At 10 weeks old a puppy weighs 9 pounds. At 30 weeks old the puppy weighs 24 pounds (30,24) (10,9) m = y = (13/20)x + b 9 = (13/20)10 + b 5/2 = b when born (x=0) weighed 2.5 lbs At 42.3 wks, puppy will weigh 30lbs ```
 Probability-and-statistics/613243: Roll a pair of dice. What is the probability you roll a 12 given you have rolled higher than a nine?1 solutions Answer 385909 by ewatrrr(10682)   on 2012-05-21 09:24:37 (Show Source): You can put this solution on YOUR website! ``` Hi, Re:TY, The display below are the possible outcomes rolling a pair of dice Only one of the outcomes is >9 'and' is a 12, thus the 1/36 There are 6 possible outcomes >9 and therefore the 6/36 P(A|B) = P(A and B)/P(B) P(12|>9) = = 1/6 ___1_2_3__4__5__6 1|_2_3_4__5__6__7 2|_3_4_5__6__7__8 3|_4_5_6__7__8__9 4|_5_6_7__8__9_10 5|_6_7_8__9_10_11 6|_7_8_9_10_11_ ```
 Numbers_Word_Problems/613245: is -1 larger than -1001 solutions Answer 385907 by ewatrrr(10682)   on 2012-05-21 09:20:21 (Show Source): You can put this solution on YOUR website! ``` Hi, is -1 larger than -100 picture the numbers on a Number line: Yes, -1 is larger than-100 ```
 Proportions/613229: A student's grade in a course is determined by 4 quizzes and 1 exam. If the exam counts twice as much as each of the quizzes, what fraction of the final grade is determined by the exam?1 solutions Answer 385905 by ewatrrr(10682)   on 2012-05-21 09:17:14 (Show Source): You can put this solution on YOUR website! ``` Hi, x + x + x + x + 2x = 1 6x = 1 x = 1/6, fraction of the final grade determined by each quiz Exam is 2(1/6) = 1/3 1/6 + 1/6 + 1/6 + 1/6 + 1/3 = 4/6 + 1/3 = 1 ```
 Proportions/613230: There are 3 to 4 tablespoons of bread flour in 1 ounce. What is the maximum number of tablespoons of bread flour in 12 ounces? A)8 B)12 C)36 D)42 E)481 solutions Answer 385898 by ewatrrr(10682)   on 2012-05-21 08:48:54 (Show Source): You can put this solution on YOUR website! ``` Hi, Am assuning You meant 12 'ounces' Letting x represent the maximum number of tablespoons of bread flour in 12 ounces: |Cross Multiplying to solve x = 48 TBSP, the maximum number of tablespoons of bread flour in 12 ounces ```
 Probability-and-statistics/613215: Please show me how to construct a scatterplot for the (x, y) values below, and answer the following questions. x y 1 1.5 2 3.0 3 4.5 4 6.0 5 7.5 What would be the slope of this regression line? Would the correlation between x and y be positive or negative? How would you interpret these data in terms of linear regression? 1 solutions Answer 385897 by ewatrrr(10682)   on 2012-05-21 08:44:41 (Show Source): You can put this solution on YOUR website! ``` Hi, (4,6) (2,3) m = 3/2 positve correlation scatter plot of this data shows a linear regression: y = (3/2)x ```
 Quadratic-relations-and-conic-sections/613188: How do I plug in a translated hyperbola equation into my graphing calculator? For example, (y-3)^2/(4) - (x+1)^2/(9) = 1 ?1 solutions Answer 385894 by ewatrrr(10682)   on 2012-05-21 08:16:14 (Show Source): You can put this solution on YOUR website! ``` Hi, (y-3)^2/(4) - (x+1)^2/(9) = 1 y = 3 +(2)sqrt(1+(x+1)^2/9) y = 3 -(2)sqrt(1+(x+1)^2/9) ```
 Sequences-and-series/613013: write a rulefor the nth termof the arithmetic sequence.. problem #1...a11=29;a20=101 that is a 11 problem #2 a6=-31;a14=-135 Thank you 1 solutions Answer 385852 by ewatrrr(10682)   on 2012-05-20 18:16:46 (Show Source): You can put this solution on YOUR website! ``` Hi, 72 = 9d 8 = d OR ```
 Linear-equations/613010: Write thd equation of the line passing through (4,7) and parallel to 6x-7y=101 solutions Answer 385850 by ewatrrr(10682)   on 2012-05-20 18:08:31 (Show Source): You can put this solution on YOUR website! ``` Hi, equation of the line passing through (4,7) and parallel to 6x-7y=10 OR y = (6/7)x -10/7 y = (6/7)x + b 7 = (6/7)4 + b ||Using pt(4,7) to solve for b 25/7 = b y = (6/7)x + 25/7 or in Standard form: 6x-7y = -25 ```
 Distributive-associative-commutative-properties/613006: (6+3i)(6-3i)1 solutions Answer 385849 by ewatrrr(10682)   on 2012-05-20 18:03:46 (Show Source): You can put this solution on YOUR website! ``` Hi, Note: ```
 Quadratic_Equations/613004: Use graph to estimate roots of this quadratic equation: -x^2+3x-2=0 1 solutions Answer 385848 by ewatrrr(10682)   on 2012-05-20 18:01:05 (Show Source): You can put this solution on YOUR website! ``` Hi, My recommendation would be to Plot 'easy Pts'...using for ex: x = 0,1,2 and sketch the parabola ```
 Quadratic-relations-and-conic-sections/612997: Need help on writing the standard form of the equation: I tryed it out by completing the square this is what I done: grouped the y terms together divided 2 by -2 and squared it, moved x+3 to the right and added 1 to both sides. that's the last part I got. Am I on the right track? I think it's supposed to be a parabola. Please show your steps on how to get the answer. 1 solutions Answer 385845 by ewatrrr(10682)   on 2012-05-20 17:37:08 (Show Source): You can put this solution on YOUR website! ``` Hi, Yes!!! Parabola opening right, Vertex (2,-1) ```
 Travel_Word_Problems/612989: Two buses start from the same station and drive in opposite directions. The expressbus is traveling 10 mph fster than the local bus. In 3 hours the buses are 300 miles apart. Find the rate of each bus.1 solutions Answer 385842 by ewatrrr(10682)   on 2012-05-20 17:32:43 (Show Source): You can put this solution on YOUR website! ``` Hi, express bus is traveling 10 mph faster than the local bus Let x and (x+10) represent speeds of local and express respectively Question states*** D = rt 3x + 3(x+10) = 300mi 6x = 270 x = 45mph, speed of local train. Express is 55mph ```
 Geometry_Word_Problems/612982: The area of a rectangle is 96 square centimeters. If the width of the rectangle is 4 centimeters less than its length, what are the dimensions of the rectangle?1 solutions Answer 385839 by ewatrrr(10682)   on 2012-05-20 17:29:15 (Show Source): You can put this solution on YOUR website! ``` Hi, width of the rectangle is 4 centimeters less than its length Let x and (x-4) represent length and width respectively Question states*** x(x-4)= 96 in^2 x^2 - 4x - 96 = 0 (x-12)(x+8) = 0 x = 12, throwing out negative solution for unit measure Length is 12cm and width is 8cm 12in*8in = 96cm^2 ```
 Quadratic-relations-and-conic-sections/612978: Whats the standard form of the equation : . By completing the square. Also what type of conic would it be? Please show the steps.1 solutions Answer 385835 by ewatrrr(10682)   on 2012-05-20 17:22:11 (Show Source): You can put this solution on YOUR website! ``` Hi, Parabola opening right Vertex(2,-1) ```
 Radicals/612981: I have been trying to figure out this math problem for a while. It says Jeff takes 5hrs longer to build a fence than it takes Bill. When they work together, it takes them 6 hours. How long would it take Bill to do the job alone? So far I have 1/x-5 + 1/x = 1/6 I am not sure were to go from there thank you1 solutions Answer 385832 by ewatrrr(10682)   on 2012-05-20 17:15:36 (Show Source): You can put this solution on YOUR website! ``` Hi, Jeff takes 5hrs longer to build a fence than it takes Bill. Letting x and (x+5) represent Bill's and Jeff's times respectively PER HOUR Key: Yes!! Multiplying thru with 6x(x+5) so as all denominators= 1 6x + 6(x+5) = x(x+5) 12x +30= x^2 + 5x x^2 - 7x - 30 factoring: (x-10)(x+3)= 0 x = 10 , x = -3 Throwing out x = -3 x = 10hr is Bill's time and Jeff's is 15hr 1/10 +1/15 = 25/150 = 1/6 ```
 Money_Word_Problems/612964: What is the total amount for an investment of \$100 invested at 3.5% for 8 years and compounded continuously? 1 solutions Answer 385827 by ewatrrr(10682)   on 2012-05-20 16:46:03 (Show Source): You can put this solution on YOUR website! ``` Hi, total amount for an investment of \$100 invested at 3.5% for 8 years and compounded continuously? A = = \$132.31 ```
 Permutations/612955: How many different 10 letters word (real or imaginary) can be formed from the following letters TPIOOYPUTM ______ten letter words (real or imaginary can be formed with the giver letters. 1 solutions Answer 385822 by ewatrrr(10682)   on 2012-05-20 16:36:47 (Show Source): You can put this solution on YOUR website! ``` Hi, How many different 10 letters word (real or imaginary) can be formed from the following letters TPIOOYPUTM TPIOOYPUTM has 2-Ts,2-Ps, 2-Os 10!/(2!2!2!) = 453,600 ways ```
 Quadratic-relations-and-conic-sections/612923: The equation of the hyperbola that has a center at (10,4), a focus at (15,4), and a vertex at (13,4)1 solutions Answer 385806 by ewatrrr(10682)   on 2012-05-20 15:48:02 (Show Source): You can put this solution on YOUR website! ``` Hi, hyperbola that has a center at (10,4), a focus at (15,4), and a vertex at (13,4) Opens right and left,Distance of the vertices from center = 3 Distance of the foci from center = 5 = , b = 4 ```
 Money_Word_Problems/612877: Kim wants to buy a farm in ten years. It will cost \$250,000. She is earning 8% returns on her investments. How much does she need to save at the end of each month in order to reach her goal?1 solutions Answer 385803 by ewatrrr(10682)   on 2012-05-20 15:22:28 (Show Source): You can put this solution on YOUR website!``` Hi, In General A = Accumulated Amount = 250,000 P[n]= Savings Amount per period r= annual rate = .08 n= periods per year = 12 t= years = 10 , the monthly savings amount necessary = \$1366.52 ```
 Linear_Equations_And_Systems_Word_Problems/612803: 8 boys and 12 girls can finish the work in 10 days, while 6 boys and 8 girls can finish it in 14 days. Find the time taken by 1 boy alone and 1 girl alone to finish the work.1 solutions Answer 385759 by ewatrrr(10682)   on 2012-05-20 12:11:34 (Show Source): You can put this solution on YOUR website! ``` Hi, 8 boys and 12 girls can finish the work in 10 days, while 6 boys and 8 girls can finish it in 14 days Note: work PER Day KEY Let x and y represent work done per day by boy and girl respectively: 8x + 12y = 1/10 6x + 8y = 1/14 |multiplying thru by -3/2 to eliminate the y variable 8x + 12y = 1/10 -9x -12y = -3/28 |result of multiplying thru by -3/2 to eliminate the y variable x = 1/140 and y = 1/280, work PER Day by each time taken by 1 boy alonedays and 1 girl alonedays to finish the work. ```
 Quadratic-relations-and-conic-sections/612564: find the vertices, foci, and asymptote of 16x^2 - 25y^2=4001 solutions Answer 385565 by ewatrrr(10682)   on 2012-05-18 17:30:35 (Show Source): You can put this solution on YOUR website! ``` Hi, 16x^2 - 25y^2=400 Note:Standard Form of an Equation of an Hyperbola is opening right or left where Pt(h,k) is a center with vertices 'a' units right and left of center. V are (±5,0) Asymptotes passing thru the center with slope = ± b/a , y = ±4/5x foci being ± sqrt(a^2 + b^2) from center along axis of symmetry y = b foci are (±,0) ```
 Probability-and-statistics/612553: 100 people surveyed 34 smoked, 61 cursed, 50 drank alcohol, 25 smoked and cursed, 30 cursed and drank alcohol, and 6 had all 3 habits. a) How many had none of these habits b) Only had the smoking habit 1 solutions Answer 385563 by ewatrrr(10682)   on 2012-05-18 17:15:44 (Show Source): You can put this solution on YOUR website! ``` Hi, Hi re TY, 1) Note: no mention of the who smoked and used alcohol...Note: says only smokers total 2) 6 with all habits listed. 100 people surveyed 34 smoked, 61 cursed, 50 drank alcohol, 25 smoked and cursed, 30 cursed and drank alcohol, and 6 had all 3 habits. a) How many had none of these habits: b) Only had the smoking habit ```
 test/612474: (-5,4) (-1,11)1 solutions Answer 385553 by ewatrrr(10682)   on 2012-05-18 16:07:29 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the slope of the line through each pair of points: (-5,4) (-1,11) m = -7/-4 = 7/4 y = (7/4)x + b ||Using Pt(-1,11) to solve for b 11 = (7/4)(-1) + b 51/4 = b 0 = b y = (7/4)x + 51/4 OR in Standard form: 7x -4y = 51 ```
 test/612475: (-2,-8) (1,4)1 solutions Answer 385535 by ewatrrr(10682)   on 2012-05-18 15:01:24 (Show Source): You can put this solution on YOUR website! ``` Hi, Find the slope of the line through each pair of points: (-2,-8) (1,4) m = -12/-3 = 4 y = 4x + b ||Using Pt(1,4) to solve for b 4 = 4*1 + b 0 = b y = 4x OR in Standard form: 4x -y = 0 ```