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 Question 149716: The rate at which a tablet of vitamin C begins to dissolve depends on the surface area of the tablet. One brand of tablet is 2 centimeters long and is in the shape of a cylinder with hemispheres of diameter 0.5 centimeter attached to both ends. A second brand of tablet is to be manufactured in the shape of a right circular cylinder of altitude 0.5 centimeter. a) Find the diameter of the second tablet so that its surface are is equal to that of the first tablet. b) Find the volume of each tablet. Click here to see answer by ankor@dixie-net.com(15652)

 Question 149843: I don't know how to do this at all be if you can show me then it will help me do the other promblems. 5t^-10t=0 Click here to see answer by jim_thompson5910(28595)

 Question 149911: Preform the indicated divison x4+4x3+6x2+4x+1 ---------------- x+1 the numbers after the x such as 4x3 is 4x to the third power Click here to see answer by jim_thompson5910(28595)
 Question 149911: Preform the indicated divison x4+4x3+6x2+4x+1 ---------------- x+1 the numbers after the x such as 4x3 is 4x to the third power Click here to see answer by vleith(2825)

 Question 149902: Simplify and state any restrictions on varibles x2-16 ----- x2+3x-4 the x with the 2 beside it is squared thank you Click here to see answer by nerdybill(6958)

 Question 149914: subtract and simply a - c ------- ---------- ac-c2 - a2-ac c2 is c squared and a2 is a squared thank you Click here to see answer by jim_thompson5910(28595)

 Question 149915: Multiply and simplify y2-x2 . x+y ------- -------- x2+2xy+y2. x-y the x2 and y2 are xsquared and y squared thank you Click here to see answer by jim_thompson5910(28595)
 Question 149915: Multiply and simplify y2-x2 . x+y ------- -------- x2+2xy+y2. x-y the x2 and y2 are xsquared and y squared thank you Click here to see answer by vleith(2825)

 Question 149919: divide and simplify x^2-4 /x-2 divide 1/x^2-x thank you Click here to see answer by mangopeeler07(462)

 Question 149896: A rectangular garden has dimensions of 18 ft by 13 ft. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet? Click here to see answer by checkley77(12569)

 Question 149906: If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16t^2 + 32t, where t is time in seconds. What is the maximum height reached by the ball? Graph parabola 0<=t<=2 Click here to see answer by jim_thompson5910(28595)

 Question 149905: Add and simplify 5x 2 ------+ ------- x+2 x2+4x+4 the x 2 is x squared thank you Click here to see answer by jim_thompson5910(28595)

 Question 149912: The stabilization ratio (birth/death)for south and central america can be modeled by the formula y= -0.0012x^2 + 0.074x + 2.69 where y is the number of birth divided by the number of deaths in the year 1950 + x. Use the formula to find the year in which the stabilization ratio was at its maximum? What was the maximum stabilization ration from above? What is the significance of a stabilization ratio of 1? Click here to see answer by ankor@dixie-net.com(15652)

 Question 149908: A company uses the formula C(x)= 0.02x^2-3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production? Click here to see answer by Alan3354(30993)

 Question 149857: I know (think) I did this right but does seem right. 6x^2+17x-40 + 3 - 5x ___________ ___ ______ x^2+x-20 x-4 x+5 This is what i did... 6x^2+17x-40 +3 -5x ___________ ____ _____ (x-4)(x+5) x-4 x+5 6x^2+17x-40 + 3(x+5) - 5x(x-4) _____________________________________ (x-4)(x+5) 6x^2+17x-40 +3x+15-5x^2+20x = (6x^2-5x^2)+(17x+3x+20x)+(-40+15)= x^2+40x-25 x^2+40x-25 __________ (x-4)(x+5) I don't see a way to break it down any further...? Click here to see answer by ankor@dixie-net.com(15652)

 Question 150123: 3x^2+19x-14=0 then I have to write it in the quadratic formula. -19+-sqrt(-19^2-4*3*-14/2*19; x=19+sqrt361+168/38; 19+-sqrt529/38; x=19+-23/38; x=42/38=6/2; x=6/2=-4 I got the -4 sub 19 from 23 to get the -4. Can you please tell me if this is right because there is alot of steps to this thank you. Click here to see answer by Fombitz(13828)

 Question 150327: i need to find how how to do factoring 5t2 - 10t = 0 Click here to see answer by checkley77(12569)
 Question 150327: i need to find how how to do factoring 5t2 - 10t = 0 Click here to see answer by smalltimegenius(2)

 Question 150313: How do I solve this quadratic equation?It is not a textbook question. It is from a handmade study guide. I would appreciate the help!!! Thanks. 2x^2-4x=0 Click here to see answer by nerdybill(6958)

 Question 150315: y=x^2+2x+1 I discriminant for this what I have can you tell me if this right. d=b^2-4ac, 2*2^2-4*1*1, 8-4=4 Click here to see answer by jim_thompson5910(28595)

 Question 150370: Please help. If a rock is thrown upward with an initial velocity of 40 feet per second from the top of a 30 foot building how high is the rock after 2 seconds,how many seconds will the graph reach maximum height and what is the maximum height? Can someone please help Click here to see answer by Earlsdon(6287)

 Question 150442: The following appears to prove that any two numbers are equal. Obviously it is wrong; can you spot the flaw? Let a and b be any two different numbers. Define x as the difference between them: x = b - a Multiply both sides of the equation by (b-a): x(b – a) = (b – a)(b – a) bx – ax = b^2 – 2ab + a^2 Add –bx+ab-a^2 to both sides and simplify: bx – ax – bx + ab – a^2 = b^2 – 2ab + a^2 – bx + ab – a^2 bx – bx – ax + ab – a^2 = –bx + b^2 – 2ab + ab + a^2 – a^2 –ax + ab – a^2 = –bx + b^2 – ab Both sides of this equation have a common factor: a(–x + b – a) = b(–x + b – a) Divide both sides by (-x+b-a): a(–x + b – a)/-x + b-a = b(–x + b – a)/ -x + b - a a = b What was my mistake? Click here to see answer by vleith(2825)

 Question 150441: The following appears to prove that any two numbers are equal. Obviously it is wrong; can you spot the flaw? Let a and b be any two different numbers. Define x as the difference between them: x = b - a Multiply both sides of the equation by (b-a): x(b – a) = (b – a)(b – a) bx – ax = b^2 – 2ab + a^2 Add –bx+ab-a^2 to both sides and simplify: bx – ax – bx + ab – a^2 = b^2 – 2ab + a^2 – bx + ab – a^2 bx – bx – ax + ab – a^2 = –bx + b^2 – 2ab + ab + a^2 – a^2 –ax + ab – a^2 = –bx + b^2 – ab Both sides of this equation have a common factor: a(–x + b – a) = b(–x + b – a) Divide both sides by (-x+b-a): a(–x + b – a)/-x + b-a = b(–x + b – a)/ -x + b - a a = b What was my mistake? Click here to see answer by Edwin McCravy(8909)

 Question 150456: My father-in-law used to have a garden in our backyard. We worried about him weeding the whole garden by himself so we usually sent one of our children out to help. Now, if my son worked on the garden by himself it would take him 4 hours longer to weed the garden than his grandfather took. However, if he worked with my father-in-law, he worked twice as fast. The formula t(t+4)/3t+4 represents how long it took for both of them to weed the whole garden working together. Using the formula t(t+4)/3t+4, How long would it take the son alone,if it took an hour and a quarter for them to weed the garden together? Please help? Click here to see answer by stanbon(57347)

 Question 150470: Can someone please help me I seem to not be able to find the corresponding y values for x=-4,-3,-2,-1,0,1,2 if y=x^2+2x-15. Also can you show me how it is graphed. Thank you Click here to see answer by jim_thompson5910(28595)

 Question 150503: solve equation by completing the square p^2-8+12=0 this is not from the text book but from homework assignment. Click here to see answer by jim_thompson5910(28595)

 Question 150318: The path of a falling object is given by the function s+-16t^2+vot + so where represents the initial velocity in ft/sec and represents the initial height in feet. Also, s o represents the height in feet of the object at any time, t, which is measured in seconds. a) If a rock is thrown upward with an initial velocity of 40 feet per second from the top of a 30-foot building, write the height (s) equation using this information. Click here to see answer by ankor@dixie-net.com(15652)

 Question 150584: 1. The square of an interger is 30 more than the integer. Find the integer. I tried.... x^2 = x+30 to get a solution of x=6 and x-5 I am unsure if this is the right equation for the problem above. 2. The sum of an integer and its square is 30. Find the number. I tried..... x + x^2= 30 to get a solution of x=-6 and x=5 Once again I am unsure if this is the right equation for the problem above. Click here to see answer by Edwin McCravy(8909)

 Question 150585: Help!!! I have no idea how to solve these problems...... Solve: 2x*(x+3) = x+25 and 3x*(x+3) = 2*(5x+1) and (x^2-2x)(x+3) = -2x(x+1) Click here to see answer by edjones(7569)
 Question 150585: Help!!! I have no idea how to solve these problems...... Solve: 2x*(x+3) = x+25 and 3x*(x+3) = 2*(5x+1) and (x^2-2x)(x+3) = -2x(x+1) Click here to see answer by Earlsdon(6287)

 Question 150568: Find the value for the correlation coefficient r x 5, 1, 4, 2, 3 ------------------------- y 5, 10, 12, 4, 8 Can anyone help? Click here to see answer by Edwin McCravy(8909)

 Question 150609: (4 / x^6) ^3 I need to simplify it and I am pulling my hair out. Maybe I am too old for this! Can you possibly show me a detailed explanation? Click here to see answer by stanbon(57347)

 Question 150601: I really need help with this 4 part equation.I have looked at it and just stumped could someone please help me. A.Without solving the equation or factoring , determine the solutions to the equation x^2-2x-8=0 by inspecting the graph. why? B. Does the function have a maximum or a minimum? C. What is the eqution of the line of symmetry for this graph? D. What are the coordinates of the vertex in (x,y)form? Click here to see answer by josmiceli(9678)

 Question 150618: Please show me how to work out this problem. I know the roots are -1/3, -1/2, and 3, but I don't know how to work the problem by hand to find the answer. Please help so I know how to solve this kind of problem in the future! -21x^3 + 53x^2 + 53x + 20 = 3x^3 + x^2 -3x + 8 -24x^3 + 52x^2 + 56x + 12 = 0 Click here to see answer by Edwin McCravy(8909)

 Question 150596: y=x^2+2x-15 find the corresponding y values for x=-4,-3,-2,-1,0,1,2 y=4x^2 +2x-15 y=18x-15 y=18x-15 then moved the 18 xon the other side to move the x to the other side y=15-18x the answer is -3 is this right. Then how do i find the corresponding for the # that is at the top. Click here to see answer by jim_thompson5910(28595)