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 Polynomials-and-rational-expressions/245930: I'm not sure how to do this problem... In a physics experiment, a ball is dropped off a 144-ft platform. The height of the ball above the ground is given by the equation h=-16t^2+144 where h is the ball's height in feet, and t is the time in seconds after the ball is dropped (t is > or = 0) Find the time required for the ball to hit the ground.(Let h =0)1 solutions Answer 179599 by ankor@dixie-net.com(15746)   on 2009-12-04 15:38:23 (Show Source): You can put this solution on YOUR website!In a physics experiment, a ball is dropped off a 144-ft platform. The height of the ball above the ground is given by the equation h=-16t^2+144 where h is the ball's height in feet, and t is the time in seconds after the ball is dropped (t is > or = 0) Find the time required for the ball to hit the ground.(Let h =0) : -16t^2 + 144 = 0 simplify and change the signs, divide by -16 t^2 - 9 = 0 t^2 = 9 t = t = 3 sec to hit the ground : : Check this -16(3^2) + 144 = -16(9) + 144 = -144 + 144 = 0
 Travel_Word_Problems/245710: can you please help me with this word problem: two motorist set out at the same time to go from A to B, a distance of 100 miles. they both followed the same route and traveled at different, though uniform, speeds of an integral number of miles per hour. the difference in their speeds was a prime number of miles per hour, and after they had been driving for two hours, the distance of the slower car from A was five times that of the faster car from B. how fast did the two motorist drive? thank you.1 solutions Answer 179432 by ankor@dixie-net.com(15746)   on 2009-12-03 22:30:47 (Show Source): You can put this solution on YOUR website!two motorist set out at the same time to go from A to B, a distance of 100 miles. they both followed the same route and traveled at different, though uniform, speeds of an integral number of miles per hour. the difference in their speeds was a prime number of miles per hour, and after they had been driving for two hours, the distance of the slower car from A was five times that of the faster car from B. how fast did the two motorist drive? : Let x = speed of 1 Let p = difference between the speeds of the two cars then (x - p) = speed of car 2 : " after they had been driving for two hours, the distance of the slower car from A was five times that of the faster car from B : After two hrs 2(x-p) = car 2 dist from A 100 - 2x = car 1 dist from B : the equation 5(2(x-p)) = 100 - 2x 10x - 10p = 100 - 2x -10p = 100 - 2x - 10x 10p = 12x - 100; multiplied by -1 p = x - 10 p = 1.2x - 10 the only prime number that will be generated by this equation is 2, (x=10) therefore Car 1 speed is 10 mph Car 2 speed is 8 mph ; : We can check this Car 1: 100 - 2(10) 80 mi from B Car 2: 2(8) = 16 mi from A : 80 mi = 5(16) mi ,
 Finance/245642: n times p equls185 n is a two digit number p is a one digit number. what numbers do and p represent1 solutions Answer 179419 by ankor@dixie-net.com(15746)   on 2009-12-03 21:32:15 (Show Source): You can put this solution on YOUR website!n times p equals 185; n is a two digit number p is a one digit number. what numbers do and p represent : 185 is a multiple of 5, so 5 could be the single digit number (p) = 37 is the two digit number (n)
 Age_Word_Problems/245368: A sister while growing up was 5 times her brothers age, then she was 4 times, then 3 times, now she is 2 times his age……… How old are the brother and sister now??????????????1 solutions Answer 179418 by ankor@dixie-net.com(15746)   on 2009-12-03 21:27:01 (Show Source): You can put this solution on YOUR website!A sister while growing up was 5 times her brothers age, then she was 4 times, then 3 times, now she is 2 times his age……… : Here's what I get, but having trouble getting a formula to find this: : Sis|bro|mult ---|---|---- 15 | 3 * 5 16 | 4 * 4 18 | 6 * 3 24 | 12 * 2; their ages now : If I come up with a formula for this I will edit this solution
 Age_Word_Problems/244899: Diophantus spent 1/6 of his life in childhood, 1/12 as a youth, and 1/7 more as a bachelor. 5 years after his marriage was born a son who died 4 years before his father at 1/2 the age at which his father died. How old was Diophantus when he died? 1 solutions Answer 179223 by ankor@dixie-net.com(15746)   on 2009-12-02 21:58:51 (Show Source): You can put this solution on YOUR website!Diophantus spent 1/6 of his life in childhood, 1/12 as a youth, and 1/7 more as a bachelor. 5 years after his marriage was born a son who died 4 years before his father at 1/2 the age at which his father died. How old was Diophantus when he died? : Let x = his final age : a lengthy but simple equation Final age = child + youth + bach + marriage + son's age + 4 x = x + x + x + 5 + x + 4 : Common denominator of 12*7 = 84 x = x + x + x + 5 + x + 4 : x = x + 9 : x - x = 9 : x = 9 : x = 84 is his final age : Check: 14 + 7 + 12 + 5 + 42 + 4 = 84
 Problems-with-consecutive-odd-even-integers/245229: I already know the answer to this problem, I got 8 and 16. But I was wondering if there is a different strategy to use besides quess and check to solve this. "Two numbers differ by 8, and the sum of their squares is 320. Find the two numbers." Thanks1 solutions Answer 179214 by ankor@dixie-net.com(15746)   on 2009-12-02 20:31:07 (Show Source): You can put this solution on YOUR website!Write equations for each phrase ; "Two numbers differ by 8, x - y = 8 or x = y + 8 : the sum of their squares is 320. x^2 + y^2 = 320 : Replace x with (y+8) (y+8)^2 + y^2 = 320 : FOIL y^2 + 16y + 64 + y^2 = 320 : A quadratic equation 2y^2 + 16y + 64 - 320 = 0 2y^2 + 16y - 256 = 0 : Simplify, divide by 2 y^2 + 8y - 128 = 0 Factor (y+16)(y-8) = 0 : Two solutions y = 8, then x = 16 Or y = -16 then x = -8
 Quadratic_Equations/245216: please help me solve this problem: A lidless box is made from a square piece of metal by cutting 3 cm squares from the corners and bending up the sides. If the volume of the box is 60 cm^3 find the dimensions of the square piece of metal 1 solutions Answer 179212 by ankor@dixie-net.com(15746)   on 2009-12-02 20:21:41 (Show Source): You can put this solution on YOUR website!A lidless box is made from a square piece of metal by cutting 3 cm squares from the corners and bending up the sides. If the volume of the box is 60 cm^3 find the dimensions of the square piece of metal : If 3 cm squares are cut, the height of the box is 3 cm : Find the area: = 20 sq/cm is the area of the bottom of the box : Since it is square: = 4.472 cm is the dimension of the side of the square bottom : Cutting 3 cm squares subtracts 6 cm from the original square piece of metal dimensions Therefore 4.472 + 6 = 10.472 cm is the side of the square piece of metal
 Mixture_Word_Problems/245167: The perimeter of a rectangle is six times the width. If the length were increased by 4 inches and the width were increased by 7 inches, then the perimeter would be 160 inches. What are the length and the width?1 solutions Answer 179206 by ankor@dixie-net.com(15746)   on 2009-12-02 19:46:02 (Show Source): You can put this solution on YOUR website!The perimeter of a rectangle is six times the width. : perimeter: 2L + 2W = 6W 2L = 6W - 2W 2L = 4W Simplify, divide both sides by 2 L = 2W : If the length were increased by 4 inches and the width were increased by 7 inches, then the perimeter would be 160 inches. 2(L+4) + 2(W+7) = 160 2L + 8 + 2W + 14 = 160 2L + 2W + 22 = 160 2L + 2W = 160 - 22 2L + 2W = 138 Simplify, divide by 2 L + W = 69 : What are the length and the width? From the 1st statement we know L=2W; replace L with 2W 2W + W = 69 3W = 69 W = W = 23 is the width then L = 2(23) L = 46 is the width : : Check solution in the 1st statement: "The perimeter of a rectangle is six times the width." 2(46) + 2(23) = 6(23) 92 + 46 = 138; : YOu can check the solution using the 2nd statement "If the length were increased by 4 inches and the width were increased by 7 inches, then the perimeter would be 160 inches. "
 Age_Word_Problems/244863: A tank can be filled by one pipe in four hours and by a second pipe in six hours;and when it is full,the tank can be drained by a third pipe in three hours.If the tank is empty and all three pipes are open,in how many hours will the tank be filled?1 solutions Answer 179144 by ankor@dixie-net.com(15746)   on 2009-12-02 16:22:50 (Show Source): You can put this solution on YOUR website!A tank can be filled by one pipe in four hours and by a second pipe in six hours;and when it is full,the tank can be drained by a third pipe in three hours. If the tank is empty and all three pipes are open,in how many hours will the tank be filled? : Just like a "shared work problem, except the drain fraction is subtracted : Let t = time to fill with all pipes open : Let the completed job (a full pool) = 1 : + - = 1 Multiply by 12 to clear the fractions 3t + 2t - 4t = 12 t = 12 hrs to fill the pool : : Check solution on a calc 12/4 + 12/6 - 12/3 = 3 + 2 - 4 = 1
 Miscellaneous_Word_Problems/245036: A group of ten 6- and 12- volt batteries are wired in a series shown at the right. The sum of their voltages is 84 volts. How many of each type of battery are used? Could someone please explain how to do this problem? I apprieciate the help!1 solutions Answer 179143 by ankor@dixie-net.com(15746)   on 2009-12-02 16:11:21 (Show Source): You can put this solution on YOUR website!Let s = no. of 6 volt batteries Let t = no. of 12 volt batteries : Write an equation for each statement: : "A group of ten 6- and 12- volt batteries are wired in a series" The no. of batteries equation s + t = 10 Arrange for substitution s = (10-t) : " The sum of their voltages is 84 volts." the total volts equation 6s + 12t = 84 : Substitute (10-t) for s in the above equation 6(10-t) + 12t = 84 60 - 6t + 12t = 84 -6t + 12t = 84 - 60 6t = 24 t = t = 4 ea 12v batteries : then 10 - 4 = 6 ea 6v batteries ; : Check solution in the total volts equation 6(6) + 4(12) = 84
 Geometry_Word_Problems/244764: "It took a faster runner 10 seconds longer to run a distance of 1500 feet than it took a slower runner to run a distance of 1000 feet. if the rate of the faster runner was 5 ft/s more than the rate of the slower runner, what was the rate of each?"1 solutions Answer 178978 by ankor@dixie-net.com(15746)   on 2009-12-01 22:02:56 (Show Source): You can put this solution on YOUR website!"It took a faster runner 10 seconds longer to run a distance of 1500 feet than it took a slower runner to run a distance of 1000 feet. Let t = time in sec for the faster runner to run 1500 ft then (t-10) = time of the slower runner to run 1000 ft : if the rate of the faster runner was 5 ft/s more than the rate of the slower runner, what was the rate of each?" : Write a rate equation: Rate = dist/time: : Fast rate - slow rate = 5 ft/sec - = 5 : Multiply equation by t(t-10), results 1500(t-10) - 1000t = 5t(t-10) : 1500t - 15000 - 1000t = 5t^2 - 50t : 500t - 15000 = 5t^2 - 50t : 0 = 5t^2 - 50t - 500t + 15000 A quadratic equation 5t^2 - 550t + 15000 = 0 Simplify, divide by 5 t^2 - 110t + 3000 = 0 Factor to (t - 50)(t - 60) = 0 two solutions t = 50 sec t = 60 sec : Assume t = 50 1500/50 = 30 ft/sec for the fast guy and 1000/40 = 25 ft/sec for the slow guy (5 ft/sec slower) : You can check the other solution
 Quadratic_Equations/244641: Hi! I was wondering if anyone could walk me through how to do this problem? Write a quadratic function given the following: (-1,6), (1,4), (2,9) y= Thanks!1 solutions Answer 178972 by ankor@dixie-net.com(15746)   on 2009-12-01 21:44:07 (Show Source): You can put this solution on YOUR website!Write a quadratic function given the following: (-1,6), (1,4), (2,9) : Using the form; ax^2 + bx + c = y; we will write three equations: eq1: x=-1; y=6, substitute for x and y -1^2a + -1b + c = 6 1a - 1b + c = 6 or just a - b + c = 6 : eq2: x=1; y=4 1^2a + 1b + c = 4 a + b + c = 4 : eq3: x=2, y=9 2^2a + 2b + c = 9 4a + 2b + c = 9 : We will solve these equations by elimination Subtract eq 1 from eq 2, eliminate a and c a + b + c = 4 a - b + c = 6 -----------------subtraction eliminate a and c 0 +2b + 0 = -2 b = -1 : Substitute -1 for b in the 1st equation a - (-1) + c = 6 a + 1 = c = 6 a + c = 6 - 1 a + c = 5 : do the same in the 3rd equation 4a + 2(-1) + c = 9 4a - 2 + c = 9 4a + c = 9 + 2 4a + c = 11 : Using these two equations: 4a + c = 11 a + c = 5 -------------Subtraction eliminates c, find a 3a = 6 a = 2 : Find c using a + c = 5 2 + c = 5 c = 5 - 2 c = 3 : Our equation: y = 2x^2 - x + 3 : You can check our solution, substitute for x and ensure that it equals y for each given coordinate : Did you understand what we did here? Any questions?
 Numbers_Word_Problems/244365: I am a 3 digit number. all my digits are odd. the digit in the tens place is twice the digit in the ones place, and the hundreds place is 3 more than the tens place what number am I?1 solutions Answer 178881 by ankor@dixie-net.com(15746)   on 2009-12-01 17:53:44 (Show Source): You can put this solution on YOUR website!"all my digits are odd. the digit in the tens place is twice the digit in the ones place," an inconsistency here, any digit that is twice another digit, is even.
 Rate-of-work-word-problems/244445: 5 men can build a house in 13 days. If 2 of the men fell sick after the 4th day, how many days would it have taken to complete the house.1 solutions Answer 178786 by ankor@dixie-net.com(15746)   on 2009-12-01 08:13:45 (Show Source): You can put this solution on YOUR website!5 men can build a house in 13 days. If 2 of the men fell sick after the 4th day, how many days would it have taken to complete the house. : From the information given, we know that it takes; 5*13 = 65 man-days to complete the house : Let d = no. of additional days if 2 fell sick after the 4th day : 5*4 + 3d = 65 20 + 3d = 65 3d = 65 - 20 3d = 45 d = 15 additional days hence 4 + 15 = 19 days to complete the house
 Equations/244359: my daughter is in pre-algebra and i need help showing her how to show her work on this equation. 2/3x=36 and 5/9x=7/181 solutions Answer 178756 by ankor@dixie-net.com(15746)   on 2009-11-30 21:49:22 (Show Source): You can put this solution on YOUR website!Assume the problems are (x is not part of the denominator) = 36 Multiply both sides by 3 to get rid of the denominator 2x = 3(36) 2x = 108 x = x = 54 : Check solution by substituting 54 for x in the original equation = 36 3 cancels into 54, 2(18) = 36 ; : = Multiplying by 18 will clear the denominators here 2(5)x = 7 10x = 7 x = : : Check solution = Cancel 5 into 10 =
 Rate-of-work-word-problems/244052: Two men together can do a piece of work in one hour and twenty minutes. The first man can do the work alone in three hours. How long would it take the second man alone to do the work? (I came up with 1 hr.29 mins. but I don't think that's right).1 solutions Answer 178744 by ankor@dixie-net.com(15746)   on 2009-11-30 19:59:26 (Show Source): You can put this solution on YOUR website!Two men together can do a piece of work in one hour and twenty minutes. The first man can do the work alone in three hours. How long would it take the second man alone to do the work? : Because of the fractional hr do the problem in minutes Working together 80 min 1st man alone 180 min Let t = 2nd man alone Let the completed job = 1 : + = 1 Multiply by 180t 80t + 180(80) = 180t 80t + 14400 = 180t 14400 = 180t - 80t 14400 = 100t t = 144 min, 2hr 24 min
 percentage/244076: im trying to find out how to do this word problem you spend 3/4 of your money on clothes and have 21 dollars left how much did you have before you bought the clothes1 solutions Answer 178727 by ankor@dixie-net.com(15746)   on 2009-11-30 19:00:58 (Show Source): You can put this solution on YOUR website!you spend 3/4 of your money on clothes and have 21 dollars left how much did you have before you bought the clothes : Let x = original amt : A simple equation x = .75x + 21 x - .75x = 21 .25x = 21 x = x = \$84 : : you can check this in the original equation
 Travel_Word_Problems/243990: A person runs 3 miles and walks 2 miles. He runs twice as fast as he walks and finishes in exactly one hour. How fast does he walk. I am completely lost and not sure why. The book gives simply the answer, 3.5 mph. I have: r = d/t1 solutions Answer 178646 by ankor@dixie-net.com(15746)   on 2009-11-30 14:18:18 (Show Source): You can put this solution on YOUR website!A person runs 3 miles and walks 2 miles. He runs twice as fast as he walks and finishes in exactly one hour. How fast does he walk. : let r = walking speed then 2r = running speed : Write a time equation time = dist/rate Walk time + run time = 1 hr + = 1 Multiply by 2r 2(2) + 3 = 2r 4 + 3 = 2r r = r = 3.5 mph walking rate : : Check solution 2/3.5 + 3/7 = 1
 decimal-numbers/244027: Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is \$28.30 If x represents the number of quarters in the jar, which equation can be used to find the number of quarters?1 solutions Answer 178645 by ankor@dixie-net.com(15746)   on 2009-11-30 14:05:01 (Show Source): You can put this solution on YOUR website!Hannah has a jar filled with 150 coins made up of quarters and nickels. The total value of the coins is \$28.30 If x represents the number of quarters in the jar, which equation can be used to find the number of quarters? : (n = no. of nickels) x + n = 150 n = (150 - x) and .25x + .05n = 28.30 .05n = (28.30 - .25x) Multiply eq by 20 n = (566 - 5x) : find x using this equation 150 - x = 566 - 5x -x + 5x = 566 - 150 4x = 416 x = 104 quarters
 Travel_Word_Problems/243615: Two cars leave a city at noon. One car travels north and the other travels east. Suppose the borthbound car is traveling at 60 mph, and the eastbound is traveling at 50 mph. Make a table to show the distance between the 2 cars at 1 hour, 2 hours, 3 hours and "n" hours. Then, suppose that the northbound car is traveling at 40 mph and after 2 hours, the two cars are 100 miles apart. How fast is the other car going?1 solutions Answer 178638 by ankor@dixie-net.com(15746)   on 2009-11-30 13:49:02 (Show Source): You can put this solution on YOUR website!Two cars leave a city at noon. One car travels north and the other travels east. Suppose the northbound car is traveling at 60 mph, and the eastbound is traveling at 50 mph. : This is a pythag problem, distance between the cars is the hypotenuse: a^2 + b^2 = c^2 n = no. of hrs traveled; a = 50n; b=60n : Make a table to show the distance between the 2 cars at 1 hour, 2 hours, 3 hours and "n" hours. 1 hr: = 78.1 mi 2 hr: = 156.2 mi 3 hr: = 234,3 mi n hrs = mi : Then, suppose that the northbound car is traveling at 40 mph and after 2 hours, the two cars are 100 miles apart. How fast is the other car going? Let a = 40*2, c=100, find b 80^2 + (2b)^2 = 100^2 6400 + 4b^2 = 100^2 4b^2 = 10000 - 6400 4b^2 = 3600 b^2 = b^2 = 900 b = b = 30 mph is the 2nd car ; : Check on a calc: enter = 100 mi
 Mixture_Word_Problems/243760: How many gallons of milk that is 3 1/2% butterfat must be added to 80 gal of 1% butterfat milk to make milk that is 2% butterfat?1 solutions Answer 178568 by ankor@dixie-net.com(15746)   on 2009-11-29 22:02:58 (Show Source): You can put this solution on YOUR website!How many gallons of milk that is 3 1/2% butterfat must be added to 80 gal of 1% butterfat milk to make milk that is 2% butterfat? : Let x = amt of 3.5% milk required : The the decimal equiv equation of the amt of butterfat .035x + .01(80) = .02(x+80) : .035x + .8 = .02x + 1.6 : .035x - .02x = 1.6 - .8 : .015x = .8 x = : x = 53 gal of 3.5%
 Angles/243385: find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 10 degrees1 solutions Answer 178566 by ankor@dixie-net.com(15746)   on 2009-11-29 21:22:32 (Show Source): You can put this solution on YOUR website!find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 10 degrees : Let = the angle then (180-x) = it's supplement and (90-x) = it's complement : The equation for: "the difference between the measures of its supplement and three times its complement is 10 degrees" (180-x) - 3(90-x) = 10 : 180 - x - 270 + 3x = 10 : Combine like terms: -x + 3x + 180 - 270 = 10 : 2x - 90 = 10 : 2x = 10 + 90 : 2x = 100 x = x = 50 degrees : : Is this true? (180-50) - 3(90-50) = 10 130 - 3(40) = 10; confirms our solution
 Miscellaneous_Word_Problems/243770: 5. A red ball and a green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height, t seconds after it is tossed is( -16t^2 + 96t )feet. The green ball is given an initial velocity of 80 feet per second, and its height, t seconds after it is tossed is (-16t^2 + 80t ) feet. 5.1. Write the algebraic expression, in simplest form, that represents the difference in heights between the two balls at any time, t. 5.2. How much higher is the red ball after 2 seconds. 1 solutions Answer 178564 by ankor@dixie-net.com(15746)   on 2009-11-29 21:12:11 (Show Source): You can put this solution on YOUR website!A red ball and a green ball are tossed into the air. The red ball is given an initial velocity of 96 feet per second and its height "t" seconds after it is tossed is -16t^2 + 96t feet. The green ball is given an initial velocity of 80 feet per second and its height "t" seconds after being tossed is -16t^2 +80t feet. : 5.1. Write the algebraic expression, in simplest form, that represents the difference in heights between the two balls at any time, t. D(t) = (-16t^2 + 96t) - (-16t^2 +80t) : Remove brackets D(t) = -16t^2 + 96t + 16t^2 - 80t : combine like terms: D(t) = 16t : 5.2. How much higher is the red ball after 2 sec? D(t) = 16(2) D(t) = 32 ft difference after 2 seconds : Looks like this:
 Polynomials-and-rational-expressions/243440: I have to find all the real number solutions of: x^3-216=0 but I am not sure how to go about it. I know there are three solutions and one or more may be imaginary. 1 solutions Answer 178509 by ankor@dixie-net.com(15746)   on 2009-11-29 19:08:29 (Show Source): You can put this solution on YOUR website!I have to find all the real number solutions of: x^3 - 216 = 0 : This can be factored as the "difference of cubes" (-216 = -6^3) (x - 6)(x^2 + 6x + 36) the real solution: x = 6
 Travel_Word_Problems/243397: Three people run a mile. The first person runs the mile in seven minutes. The second person takes 5/4 as long as the first person. How many minutes did it take the third person to run the mile if the average for all three people is eight minutes? A. 8 B. 8.25 C. 8.5 D. 9 E. 11.41 solutions Answer 178365 by ankor@dixie-net.com(15746)   on 2009-11-29 09:43:57 (Show Source): You can put this solution on YOUR website!Three people run a mile. The first person runs the mile in seven minutes. The second person takes 5/4 as long as the first person. How many minutes did it take the third person to run the mile if the average for all three people is eight minutes? : Let t = time of the 3rd person : Change 5/4 to 1.25 : = 8 : = 8 : = 8 : Multiply both sides by 3 15.75 + t = 24 : t = 24 - 15.75 : t = 8.25 min is the 3rd person's time : : Check solution = 8
 Volume/243268: A hollow spherical vessel has the internal and external radii of 6cm and 6.4 respectively. Calculate the weight of the vessel if it is made of metal of density 10g/cm^3.1 solutions Answer 178303 by ankor@dixie-net.com(15746)   on 2009-11-28 21:59:02 (Show Source): You can put this solution on YOUR website!A hollow spherical vessel has the internal and external radii of 6cm and 6.4 respectively. Calculate the weight of the vessel if it is made of metal of density 10g/cm^3. : weight = overall volume - inside volume times 10 gr/cm^3 w = - * 10
 logarithm/243128: growth or decay formula how do you solve question in 1980 231 million was the population and its growing at a rate of 1.03% per year. Predict the pop. in the year 2025. How do you solve and how do you put into the calculator? 1 solutions Answer 178301 by ankor@dixie-net.com(15746)   on 2009-11-28 21:52:09 (Show Source): You can put this solution on YOUR website!In 1980 231 million was the population and its growing at a rate of 1.03% per year. Change 1.03% to a decimal: .0103, for the finding the total, it will be 1.0103 : P = 231(1.0103^t); where t is the number of years from 1980, p in millions : Predict the pop. in the year 2025. P = 231(1.0103^45) enter 231(1.0103^45) in to your calc, your answer will be in millions (336.3)
 Miscellaneous_Word_Problems/243142: A piece of aluminium strip of length l m is used to make a window frame.The window frame consists of six identical small rectangles and each rectangle is x m long and y m long wide.Let the total area of the window encompassed by the aluminium stripes be A m^2.(Ignore the width of the aluminium strip in this question.) a)Find the maximun value of A in terms of l. b)Find the value of x/y so that the area of the window is a maximum allowing a maximum amount of light entering the room.1 solutions Answer 178297 by ankor@dixie-net.com(15746)   on 2009-11-28 21:41:20 (Show Source): You can put this solution on YOUR website!A piece of aluminum strip of length l m is used to make a window frame. The window frame consists of six identical small rectangles and each rectangle is x m long and y m long wide.Let the total area of the window encompassed by the aluminum stripes be A m^2.(Ignore the width of the aluminum strip in this question.) : Assume they mean L meters, (not 1 meter) a)Find the maximum value of A in terms of l. Max area is an overall shape of a square 7 equal strips of aluminum required to have 6 window panes A = : b)Find the value of x/y so that the area of the window is a maximum allowing a maximum amount of light entering the room. : The shape of the whole window is a square, however, the six panes are rectangular, x by y: Ratio: = (The square will be 3 windows long by 2 windows wide)
 Bodies-in-space/243267: A cylindrical end of a pencil is sharpened to produce a perfect cone at the end with no overall loss of length. If the diameter of the pencil is 1cm, and the cone is of length 2cm, calculate the volume of the shavings. 1 solutions Answer 178291 by ankor@dixie-net.com(15746)   on 2009-11-28 21:11:54 (Show Source): You can put this solution on YOUR website!A cylindrical end of a pencil is sharpened to produce a perfect cone at the end with no overall loss of length. If the diameter of the pencil is 1cm, and the cone is of length 2cm, calculate the volume of the shavings. : radius of the pencil = .5cm : the vol of cylinder is and the vol of a cone is: therefore the vol of the shavings: v = v = v = v = 1.047 cu/cm
 Volume/243134: In a chemistry course, you learn that a substance’s density is found by dividing its mass by its volume. If a 300 g block of wood measures 70 mm by 50 mm by 30 mm, find the density of the wood in g/cm^3 A. 0.03 g/cm^3 B. 0.29 g/cm^3 C. 0.35 g/cm^3 D. 2.86 g/cm^3 E. 350.00 g/cm^31 solutions Answer 178288 by ankor@dixie-net.com(15746)   on 2009-11-28 20:57:42 (Show Source): You can put this solution on YOUR website!In a chemistry course, you learn that a substance’s density is found by dividing its mass by its volume. If a 300 g block of wood measures 70 mm by 50 mm by 30 mm, find the density of the wood in g/cm^3 : They want the answer in cu/cm, convert the measurements to cm = 2.857 ~ 2.86 gr/cm^3