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# Recent problems solved by 'Nate'

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 Polynomials-and-rational-expressions/42470: This question is from textbook Simplify, if possible: 5(square root)18 - 6(square root)21 solutions Answer 27599 by Nate(3500)   on 2006-06-16 21:40:28 (Show Source):
 Polynomials-and-rational-expressions/42471: This question is from textbook Simplify: (x^3/5)(x^2/3)1 solutions Answer 27598 by Nate(3500)   on 2006-06-16 21:39:01 (Show Source): You can put this solution on YOUR website! times the fifteenth root of
 Polynomials-and-rational-expressions/42472: This question is from textbook Simplify: square root of 1501 solutions Answer 27597 by Nate(3500)   on 2006-06-16 21:35:05 (Show Source):
 Polynomials-and-rational-expressions/42473: This question is from textbook Simplify: negative square root of 251 solutions Answer 27596 by Nate(3500)   on 2006-06-16 21:33:52 (Show Source): You can put this solution on YOUR website! or or
 Quadratic_Equations/42478: Solve 5(x-2)^2 = 3 I cannot figure out!1 solutions Answer 27595 by Nate(3500)   on 2006-06-16 21:32:00 (Show Source):
The demand equation for a certain type of printer is given by
D = -200p + 35000
The supply equation is predicted to be
S = -p^2 + 400p - 20000
Find the equilibrium price.
Thanks!!
1 solutions

Answer 27594 by Nate(3500)   on 2006-06-16 21:29:43 (Show Source):
You can put this solution on YOUR website!
The demand equation for a certain type of printer is given by
D = -200p + 35000 or y = -200p + 35000
The supply equation is predicted to be
S = -p^2 + 400p - 20000 or y = -p^2 + 400p - 20000
So ....
y = -p^2 + 400p - 20000
-200p + 35000 = -p^2 + 400p - 20000
0 = -p^2 + 600p - 55000
 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=140000 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 112.917130661303, 487.082869338697. Here's your graph:

 Permutations/42379: My students and I solved most of the problems on this page but this one we just can;t seem to solve! What are we missing ? We keep getting 720 or 1000.1 solutions Answer 27554 by Nate(3500)   on 2006-06-16 12:05:56 (Show Source): You can put this solution on YOUR website!What page are you talking about? I do not see a question.
 Quadratic-relations-and-conic-sections/42388: It is your task to find an example of each conic section in nature or in technology or in architecture, or any other place. Please label the item and describe the conic section it uses. If possible, tell why the conic section is used.1 solutions Answer 27553 by Nate(3500)   on 2006-06-16 12:00:25 (Show Source): You can put this solution on YOUR website!A circular window in architecture. They would need to know the diameter of the window.
 Miscellaneous_Word_Problems/42400: When a number was multiplied by 4 and then product decreased by 17, the result was 1 less than three times the nunber. Find the number. (show your work)1 solutions Answer 27550 by Nate(3500)   on 2006-06-16 11:39:25 (Show Source):
 Permutations/42381: A student is taking a true/false quiz. The quiz has ten questions. If the student guesses every answer, how many different arrangements of answers are possible?1 solutions Answer 27548 by Nate(3500)   on 2006-06-16 11:35:06 (Show Source): You can put this solution on YOUR website!P(10,10) = 10! = 3,628,800
 Miscellaneous_Word_Problems/42399: Ifvthe ratio of fast readers to slow readers was 9 to 5, and there were 2,100 readers in all, how many were fast readers? (show your work)1 solutions Answer 27545 by Nate(3500)   on 2006-06-16 11:27:25 (Show Source): You can put this solution on YOUR website!(9/(5 + 9))(2100) = fast readers (9/14)(2100) = 1350 fast readers
 Miscellaneous_Word_Problems/42374: Between 1950 and 1997, did the production of motor vehicles increases by a greater percentage in canada or europe? 1 solutions Answer 27542 by Nate(3500)   on 2006-06-16 11:24:33 (Show Source): You can put this solution on YOUR website!Take the largest amount divided by the smallest amount: Canada: 2571/388 = 663% Europe: 18866/1991 = 948% Europe had the biggest percentage increase.
 Miscellaneous_Word_Problems/42398: simplify (show your work) -6^2 + (-1)^41 solutions Answer 27540 by Nate(3500)   on 2006-06-16 11:20:20 (Show Source): You can put this solution on YOUR website!-6^2 + (-1)^4 (-6)(-6) + (-1)(-1)(-1)(-1) 36 + 1 37
 Inequalities/42380: solve this inequality y-12>-151 solutions Answer 27538 by Nate(3500)   on 2006-06-16 11:19:16 (Show Source): You can put this solution on YOUR website! <-----(-3)=====>
 expressions/42383: Please help me with this problem (show your work) ( 7 x 10^3) x (8 x 10 ^-9)1 solutions Answer 27536 by Nate(3500)   on 2006-06-16 11:17:43 (Show Source): You can put this solution on YOUR website!( 7 x 10^3) x (8 x 10 ^-9) (7)(10^3)(8)(10^-9) (7)(8)(10^3)(10^-9) 56(10^-6) 0.000056
 Miscellaneous_Word_Problems/42392: Express the product of a number increased by 15, and the number -8. Thank you for the help1 solutions Answer 27533 by Nate(3500)   on 2006-06-16 11:14:25 (Show Source):
 Miscellaneous_Word_Problems/42394: Which expression represents the sum of the opposite of a number and -12? A) -n = -12 B) -n + -12 C) -n(-12) D) -n - (-12) Thank you for the help1 solutions Answer 27531 by Nate(3500)   on 2006-06-16 11:12:37 (Show Source): You can put this solution on YOUR website!The sum of two numbers: x + p .... so you must have an addition sign. Opposite means negative: -n Your answer is (B).
 Trigonometry-basics/42389: Find the exact value of cos(-420º)1 solutions Answer 27529 by Nate(3500)   on 2006-06-16 11:10:37 (Show Source): You can put this solution on YOUR website!cos(-360º-60º) cos(-2-) cos(-(7/3)) 0.5
 Miscellaneous_Word_Problems/42385: Frozen (quarter-pound) humbuger patties cost \$5.80 for 12. how many can for \$7.00? (show your work)1 solutions Answer 27524 by Nate(3500)   on 2006-06-16 11:02:23 (Show Source): You can put this solution on YOUR website!(5.8)/(12) = (7)/(x) 5.8x = 84 About 14 patties
 Miscellaneous_Word_Problems/42386: which number is a factor of 20? A) 1 B) 12 C) 40 D) 601 solutions Answer 27523 by Nate(3500)   on 2006-06-16 10:59:26 (Show Source): You can put this solution on YOUR website!What number can evenly go into: 20 20/1 = 20 20/12 = 1.6667 20/40 = 0.5 20/60 = 0.3333 The answer is (A).
 Expressions-with-variables/42353: t=(a+b+c)/3a solve for b1 solutions Answer 27482 by Nate(3500)   on 2006-06-15 23:43:35 (Show Source):
 Human-and-algebraic-language/41346: Brandon pays \$4.95 a month for long distance telephone service that offers a flat rate of 7 cents per minute. One month his long distance telephone bill was \$10.69. How many minutes of long distance telephone calls were made that month? 1 solutions Answer 27481 by Nate(3500)   on 2006-06-15 23:41:54 (Show Source): You can put this solution on YOUR website! where is total cost and is the number of minutes
 Graphs/41418: graph y = 3 sin x and y = sin 3x on the same axes. label the graph of each function.1 solutions Answer 27480 by Nate(3500)   on 2006-06-15 23:37:54 (Show Source): You can put this solution on YOUR website!red line: Green line:
 Expressions-with-variables/42352: t=a+b+c/3a solve for b1 solutions Answer 27479 by Nate(3500)   on 2006-06-15 23:35:08 (Show Source):
 Radicals/41354: Find the distance between (-3, -2) and (1,4)1 solutions Answer 27478 by Nate(3500)   on 2006-06-15 23:32:48 (Show Source):
 Linear_Equations_And_Systems_Word_Problems/42346: Please help with this question: "A square sheet of paper measures 27 centimeters on each side. What is the length of the diagonal of this paper?" 1 solutions Answer 27477 by Nate(3500)   on 2006-06-15 23:25:55 (Show Source): You can put this solution on YOUR website!Fold the paper to make a right triangle:
 Linear-equations/42166: Graph the solution of the inwequality and write it in interval notation. {x|x >-3} Thank you1 solutions Answer 27475 by Nate(3500)   on 2006-06-15 23:01:04 (Show Source): You can put this solution on YOUR website!<-----(-3)=======> (-3,+infinity)
 Quadratic_Equations/42348: Can you explain "discriminant" and help me with the following problem? "Compute the discriminant of the equation x^2-8x+7=0. What does the discriminant indicate about the kinds of solutions?" Thank You!!1 solutions Answer 27474 by Nate(3500)   on 2006-06-15 22:55:37 (Show Source): You can put this solution on YOUR website!Discriminant: a=1 b=-8 c=7 Since the disciminant is positive, there are two real solutions. and
 Quadratic_Equations/42350: How do I figure this out?!?! "Determine without graphing, whether the quadratic function f(x) = x^2 - 2x - 6 has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point." 1 solutions Answer 27473 by Nate(3500)   on 2006-06-15 22:51:12 (Show Source): You can put this solution on YOUR website!f(x) = x^2 - 2x - 6 vertex: ((-b/2a),f(x)) so (1,-7) and the parabola opens up because: Minimum value: y=-7
 Linear-systems/42345: please help me solve 1 solutions Answer 27470 by Nate(3500)   on 2006-06-15 21:55:44 (Show Source): You can put this solution on YOUR website! There are many solutions for , but .