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 Test Calculators and Practice Answers archive Word Problems Lessons In Depth

 Question 163286: 1. Oil is dripping from a pipe at a constant rate and forms a circular pool. The area of the pool is increasing at 15cm^2/s. Find, to 3 significant figures, the rate of increase of the radius of the pool when the area is 50cm^2. 2. The region enclosed by the curve with equation y^2=16x, the x-axis and the lines x=2 and x=4 is rotated through 360º about the x-axis. Find, in terms of π, the volume of the solid generated. 3. A particle P moves in a straight line. At time t seconds, the displacement, s metres, of P from a fixed point O of the line is given by s=2tcost+t^2. Find, in m/s to 3 significant figures, the velocity of P when t=3. Click here to see answer by Edwin McCravy(8882)

 Question 163477: preform the incated operation, reduce to lowest term. 62.) 2/x-3 + 3/3-x Click here to see answer by Fombitz(13828)

 Question 163470: please help me find the product of (-4/3)cibed and (-2/3)squared . for the first one I got -4^3 and the second one I got -2^2 is this correct? Click here to see answer by checkley77(12569)

 Question 163405: 96.) Amount of an investment. The amount of an investment of P dollars for T years at simple interest rate R is given by A = P + Prt. a) Rewrite the formula by factoring out the greatest common factor on the right - hand side. b) Find A if \$8300 is invested for 3 years at a simple interest rate of 15%. Click here to see answer by elima(1433)

 Question 163324: 94.) Area of a painting. A rectangular painting with a width of x centimeters has an area of x^2 +50x square centimeters. Find a binomial that represents the length. See the accompanying figure. which reads Area = x^2+50xcm^2 The top of the pictire has a ? mark and one side of the picture shows x cm Click here to see answer by ankor@dixie-net.com(15639)

 Question 163475: Preform the indicated operation. Reduce to lowest form. 40.) y/4+2y Click here to see answer by checkley77(12569)

 Question 163704: 58.)Simplify complex fraction, reduce ab +b^2 4ab^5 a + b 6a^2b^4 Click here to see answer by Edwin McCravy(8882)

 Question 163782: a bike rental shop charges a one-time charge of \$8 plus an hourly fee to rent a bike. Dan paid \$24.50 to rent a bike for 5 1/2 hours.Find the bike shop's hourly fee dollars. i realy need help!!!!!!!!!!! Click here to see answer by nerdybill(6951)

 Question 163881: Henry invested \$12,000 in a new restarunt. When the restarunt was sold two years later, he recieved \$27,000. Find his average annual return by solving the equation: 12,000(l+r)^2=27,000 Click here to see answer by josmiceli(9661)

 Question 163902: 52.) Simplify each complex fraction. Reduce 1/9+1/3x x/9-1/x this problem has a line between the two which make it one problem. Click here to see answer by mathispowerful(115)

 Question 163903: 52.) Simplify each complex fraction. Reduce 1/9+1/3x x/9-1/x this problem has a line between the two which make it one problem. Click here to see answer by ptaylor(2048)

 Question 164007: For a certain time period the ratio of the dollar value of exports to the dollar value of imports for the United States was 2 to 3. If the value of exports during that time period was 48 billion dollars, then what was the value of imports? Click here to see answer by checkley77(12569)

 Question 164003: 17.) Solve each formula for indicated variable DISASTER Click here to see answer by checkley77(12569)

 Question 164004: 20.) Brenda and her husband Randy bicycled cross - country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour. Randy covered twice the distance brenda covered. What was the speed of each cyclist? Click here to see answer by ankor@dixie-net.com(15639)

 Question 164001: 7.) preform incated operation lowest term. 2/x^2-4 - 3/x^2+x-2 Click here to see answer by Alan3354(30983)

 Question 164064: 42.) Solve each equation. Watch for extraneous solution. 5/y-3 = y+7/2y-6 + 1 Click here to see answer by Edwin McCravy(8882)

 Question 163503: Differentiate with respect to x, a) b) Click here to see answer by Edwin McCravy(8882)

 Question 164150: write this with positive exponents write with out negative exponents simplify and write with postive exponents Click here to see answer by alicealc(281)

 Question 164287: Solve each problem Consecutive even integers. If the product of two consecutive even integers is 34 larger than their sum, then what are the integers? Click here to see answer by themathprof(21)

 Question 164286: Factor each polynomial completely say if it is prime Click here to see answer by themathprof(21)

 Question 164352: add and subtact the following 1) (-7x^2+5xy-2y^2)+(3x^2-5xy-4y^2) 2) (6r^3-8rs+4s^2)-(-5r^3+3rs+s^2) on question 1 I got -4x^2-6t^2 on question 2 I got r^3+11rs-9s^2 are these correct Click here to see answer by stanbon(57250)

 Question 164395: Solve each problem. Answers could be rational expressions. Be sure to give your answers with appropriate units. 82.) Driving marathon. Felix drove 800 miles in x hours on Monday. a.) Write a rational expression for his average speed. b.) On tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday. Click here to see answer by midwood_trail(310)

 Question 164391: 90.) Solve each problem Barn Painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fractions of the barn that they complete in one day by working together. Evaluate the expression for x = 5. Click here to see answer by josmiceli(9661)

 Question 164393: 68.) Telephoto lens. Use the formula below to find the image distance i for an object that is 2,000,000 mm from a 250-mm telphoto lens. 1/f = 1/o + 1/i Click here to see answer by Fombitz(13828)

 Question 164556: Solve each problem. Answers could be rational expressions. Be sure to give your answers with appropriate units. 82.) Driving marathon. Felix drove 800 miles in x hours on Monday. a.) Write a rational expression for his average speed. b.) On tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday. Click here to see answer by themathprof(21)

 Question 164557: Solve each problem. Answers could be rational expressions. Be sure to give your answers with appropriate units. 82.) Driving marathon. Felix drove 800 miles in x hours on Monday. a.) Write a rational expression for his average speed. b.) On tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday. Click here to see answer by ptaylor(2048)

 Question 164619: add and subtract the following 1) (7a^4+8ab+b^2)+(-5a^4-8ab-4b^2) =7a^4+8ab+b^2-5a^4-8ab-4b^2 =(7a^4-5a^4)+(8ab-8ab)+(b^2-4b^2) =2a^4+0-3b^2 =2a^4-3b^2 Ans 2) (6r+2s-1)-(4r-7s+1) =(6r-4r)+(2s+7s)-(1+1) =2r+9s-2 Ans 3) (7a^2b+4ab)+(9a^2b-8ab)-(11a^2b+14ab) =(7a^2b+9a^2b-11a^2b)+(4ab-8ab-14ab) =5a^2b-18ab 4) (-5x^3+2y^3)-(15x^3-7x^2y+8xy^2-4y^3) =(-5x^3-15x^3) question 1 I got 12a^4-3b^2 qustion 2 i got 2r-5s qustion 3 i got 16a^2b+10ab-11a^2 question 4 I got -20x^3-xy^2 are these correct? Click here to see answer by KnightOwlTutor(293)
 Question 164619: add and subtract the following 1) (7a^4+8ab+b^2)+(-5a^4-8ab-4b^2) =7a^4+8ab+b^2-5a^4-8ab-4b^2 =(7a^4-5a^4)+(8ab-8ab)+(b^2-4b^2) =2a^4+0-3b^2 =2a^4-3b^2 Ans 2) (6r+2s-1)-(4r-7s+1) =(6r-4r)+(2s+7s)-(1+1) =2r+9s-2 Ans 3) (7a^2b+4ab)+(9a^2b-8ab)-(11a^2b+14ab) =(7a^2b+9a^2b-11a^2b)+(4ab-8ab-14ab) =5a^2b-18ab 4) (-5x^3+2y^3)-(15x^3-7x^2y+8xy^2-4y^3) =(-5x^3-15x^3) question 1 I got 12a^4-3b^2 qustion 2 i got 2r-5s qustion 3 i got 16a^2b+10ab-11a^2 question 4 I got -20x^3-xy^2 are these correct? Click here to see answer by amitsinghbce(1)

 Question 164650: 18.) Find all real solutions. w^2 + 19 = 0 Click here to see answer by Fombitz(13828)

 Question 164649: 16.) Find all real solutions to each equation. a^2 - 40 = 0 Click here to see answer by Fombitz(13828)

 Question 164655: 86.) Find all real or imaginary solutions. use the method of your choice. 3v^2 + 4v - 1 = 0 Click here to see answer by Fombitz(13828)

 Question 164620: add and subtract the following 1) (21x^2y+4xy^2-7x)-(8x^2y+11xy^2-3x) 2) (8x^2+11xy-17y^2)+(2x^2+4xy-18y^2) 3) (-4x^2y-2z^2y)-(8x^2y-4z^2y)+(-6x^2y+14xy^2) 4) (2/3x^3-1/2x+1/4)-(2/5x^2-1/3x+1/9) qustion 1 I got 13x^2y-15xy^2-10x question 2 I got 10x^2+15xy+35y^2 question 3 I got -6x^2y+-6z^2y+14xy^2 question 4 I got 2/3x^3-2/5x^2-1/6x+1/13 are these correct Click here to see answer by ankor@dixie-net.com(15639)