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# Recent problems solved by 'Nate'

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 Volume/47620: The Volume of a cube is given by V=s^3, where s is the length of a side. Find the length of a side of acube if the volume is 1000 cm^31 solutions Answer 31459 by Nate(3500)   on 2006-07-29 22:03:22 (Show Source): You can put this solution on YOUR website!V = s^3 1000 = s^3 (1000)^(1/3) = s = 10 Each side of the cube is 10 cm.
 Graphs/47630: Graph the functions y = x and y =2 squared x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs. What are the points of intersection? I also need to find an on-line graphing tool to graph the plots 1 solutions Answer 31457 by Nate(3500)   on 2006-07-29 22:00:57 (Show Source): You can put this solution on YOUR website!Intersecting Points: (0,0) and (0.5,0.5)
 Money_Word_Problems/47632: please help me solve this word problem. Adult tickets for a play cost \$20 and child tickets cost \$16. If there were 27 people at a performance and the theater collected \$464 from ticket sales, how many adults and how many children attended the play?1 solutions Answer 31456 by Nate(3500)   on 2006-07-29 21:57:30 (Show Source): You can put this solution on YOUR website!adult tickets: a child tickets: c Combine: + = Plug: While eight adult tickets were sold, nineteen childeren's tickers were sold as well.
 Trigonometry-basics/47633: Help please!- The approach pattern to an airport requires pilots to set an 11 degree angle of decent toward a runway.If a plane is flying at an altitude of 9,500 m at what distance (measured along the ground) from the airport must the pilot descend?-Thank you!1 solutions Answer 31455 by Nate(3500)   on 2006-07-29 21:53:58 (Show Source): You can put this solution on YOUR website!This is, as you already know, a figure of a triangle. Leg: 9500 Since you measure along the ground: leg: x Angle: 11 degrees tan(11/180) = 9500/x x = 9500/tan(11/180) About 2,835,140 m
 Equations/47600: Solve the equation. 1 solutions Answer 31438 by Nate(3500)   on 2006-07-29 13:47:30 (Show Source): You can put this solution on YOUR website! Check: Correct
 Numeric_Fractions/47602: A relationship among the variables A, B, and C can be expressed by the formula A = /C Then, correct to 2 decimal places, find A if B = 140 and C = 6.84 A. 0.91 B. 1.10 C. 1.57 D. 1.63 E. 1.84 F. 2.13 G. 2.44 H. None of these 1 solutions Answer 31437 by Nate(3500)   on 2006-07-29 13:45:00 (Show Source): You can put this solution on YOUR website!Just plug them into a calculator to get: 1.838828575 or: 1.84 (E)
 Quadratic-relations-and-conic-sections/47606: This question is from textbook Please assist us with this question.. In the following exercises, v denotes the vertex of a parabola, f the focus and d the directrix. Two of these are given. Find the third. f(-2,5) v(-2,+1) Thanks!1 solutions Answer 31436 by Nate(3500)   on 2006-07-29 13:42:38 (Show Source): You can put this solution on YOUR website!The distance between the focus and the vertex is the exact distance from the vertex and the directrix vertically. The distance is 4 units. The directrix goes through (-2,-3); since the directrix is a horizontal line, the directrix is .
 Quadratic-relations-and-conic-sections/47605: This question is from textbook Please help us with this problem.. Graph each equation. Each graph is a semi-elipse, since the square root of A is always non-negative. y=3square root 1-x^21 solutions Answer 31435 by Nate(3500)   on 2006-07-29 13:37:46 (Show Source): You can put this solution on YOUR website!Remember that you can not take a square root of a negative number, so 'x^2' can not be greater than one. Since sqrt(-1) is imaginery, you can not have less than negative one. Domain: Graph: but stop at the x-axis ~~~> the vertex and the x-intercepts are the same (the points are not exact as the original equation)
 Complex_Numbers/47604: If i = (-1)^1/2 , then (1 + i)/(1 - i) -1 = A. 7 + 24i B. 1 - i C. -7 + 24i D. -1 + i E. 7 - 24i F. -1 - i G. -7 - 24i H. 1 + i I. None of these 1 solutions Answer 31434 by Nate(3500)   on 2006-07-29 13:31:11 (Show Source): You can put this solution on YOUR website! (D)
 Equations/47601: Please solve this equation. Thanks 1 solutions Answer 31433 by Nate(3500)   on 2006-07-29 13:27:42 (Show Source): You can put this solution on YOUR website! x - 5 = 0 x = 5 and 4x - 3 = 0 4x = 3 x = 3/4 Check: Nope Check: Correct
 Complex_Numbers/47598: Simplify. Assume that all variables represent positive numbers. 1 solutions Answer 31432 by Nate(3500)   on 2006-07-29 13:20:38 (Show Source):
 Trigonometry-basics/47547: Which of the following integers cannot be a potential integral zero of the function: P(x)=4x^3+5x^2-23x-6 A- 1 B- 2 C- 3 D- 41 solutions Answer 31431 by Nate(3500)   on 2006-07-29 13:08:19 (Show Source): You can put this solution on YOUR website!P(x) = 4x^3 + 5x^2 - 23x - 6 a = factors of constant term b = factors of leading coefficient +- a/b is the potential integral zeros a = 1,2,3,6 b = 1,2,4 Potential Integral Zeros: 1,1/2,1/4,2,3,3/2,3/4,6 Answer: (D)
 real-numbers/47570: Find the center and radius of the circle whose equation is give by x^2+y^2+6x-10y=21 solutions Answer 31430 by Nate(3500)   on 2006-07-29 13:04:35 (Show Source): You can put this solution on YOUR website!x^2 + y^2 + 6x - 10y = 2 (x^2 + 6x) + (y^2 - 10y) = 2 (x + 3)^2 + (y - 5)^2 = 2 + 9 + 25 = 36 (x + 3)^2 + (y - 5)^2 = 36 Center: (-3,5) Radius: 6
 Polynomials-and-rational-expressions/47595: This due tomorrow. help! Solve each equation for “y”. (y-1)/(x+3) = -1/3 Thanks1 solutions Answer 31429 by Nate(3500)   on 2006-07-29 13:01:37 (Show Source):
 Functions/47571: Find the domain of f(x)=sqrt3x-21 solutions Answer 31428 by Nate(3500)   on 2006-07-29 12:58:13 (Show Source): You can put this solution on YOUR website!f(x) = sqrt(3x - 2) You can only take the square root of zero and positive numbers: Domain: : :
 Functions/47573: Given f(x) x^2-4x-21, find the vertex and the x-intercept(s)1 solutions Answer 31427 by Nate(3500)   on 2006-07-29 12:54:47 (Show Source): You can put this solution on YOUR website!f(x) = x^2 - 4x - 21 V(-b/2a,f(x)) V(2,-25) x-intercepts: 0 = x^2 - 4x - 21 0 = (x - 7)(x + 3) x - 7 = 0 x = 7 (7,0) and x + 3 = 0 x = -3 (-3,0)
 Functions/47574: Given f(x) x^2+5, and g(x)=sqrt x-3, find (fog)(x)1 solutions Answer 31426 by Nate(3500)   on 2006-07-29 12:52:19 (Show Source): You can put this solution on YOUR website![f o g](x) = =
 Volume/47580: Find the area of the trapezoid: Top: 8ft, Bottom: 12ft. Right side 6ft.(h) I know area= 1/2h(b1 = b2) but still can't get this one. The 2n part of the question asks: if the base formed a solid of 10in high what is the volume? Can someone help me please? 1 solutions Answer 31425 by Nate(3500)   on 2006-07-29 12:49:35 (Show Source): You can put this solution on YOUR website!Top: 8ft Bottom: 12ft Height: 6ft Area = = = 60ft^2 10ft high ~~~> 10 * 60 = 600ft^3
 Polynomials-and-rational-expressions/47581: factor completely y^3-12y^2+36y1 solutions Answer 31424 by Nate(3500)   on 2006-07-29 12:46:10 (Show Source):
 Money_Word_Problems/47585: This question is from textbook Beginning Algebra Please check my answer Ms. Jordan has been given a loan of \$2500.00 for 1 year. Ifthe interest charged is \$275.00, what is the interest rate on the loan? {R/Year}=SI X 100 Answer 11% Is this correct?? Thank You in advance!1 solutions Answer 31423 by Nate(3500)   on 2006-07-29 12:43:45 (Show Source): You can put this solution on YOUR website!IPR is the main formula (interest * principle * rate) I(2500) = 275 I = 275/2500 = 0.11 = 11%
 Exponents-negative-and-fractional/47583: My problem is 2x^2+4/2x I know it should be simple but I can not for the life of me get this one. I have to write it in the form of quotient+remainder/divisor Please help! And thank you in advance!1 solutions Answer 31422 by Nate(3500)   on 2006-07-29 12:32:44 (Show Source): You can put this solution on YOUR website! 2x goes into 2x^2 and 'x' amount of times; you have a remainder of four x + 4/2x
 Money_Word_Problems/47587: This question is from textbook Beginning Algebra Need help solving these kind of problems. Once I am shown how to work this type, I will be able to work the rest. The electricity costs of a business decreased from \$12,000 one year to \$10,920 the next. What is the rate of decrease? Can someone show me how to set up the problem to get the solution. Thank You 1 solutions Answer 31421 by Nate(3500)   on 2006-07-29 12:30:44 (Show Source): You can put this solution on YOUR website!The time it took to decrease the electricity cost is one year. (12000,0) and (10920,1) Now, find slope: M = (y2 - y1)/(x2 - x1) = (12000 - 10920)/(0 - 1) = -1080 1080/12000 = 0.09 = 9% The Rate of Decrease: 9% Check: 9% of 12000 is 1080 .... 12000 - 1080 = 10920
 Money_Word_Problems/47586: This question is from textbook Beginning Algebra Please check my answer. A survey of 400 people found that 66 were left handed. What percent of those surveyed were left -handed I came up with 16.5%1 solutions Answer 31420 by Nate(3500)   on 2006-07-29 12:26:27 (Show Source): You can put this solution on YOUR website!66/400 = 33/200 = 0.165 = 16.5%
 Money_Word_Problems/47588: This question is from textbook Beginning Algebra If the total bill at a restaurant , including a 15% tip is \$65.32, what is the cost of the meal? How do you set this one up to get the answer? Thank You1 solutions Answer 31419 by Nate(3500)   on 2006-07-29 12:25:17 (Show Source): You can put this solution on YOUR website!Meal Cost = 100%m = m Tip Cost = 15% = 0.15m Original Cost: \$56.80
 Travel_Word_Problems/47424: A car enters a freeway traveling 50km/hr. One hour later another car enters the freeway by the same ramp, traveling 80km/hr. Determine the length of time before the second car overtakes the first car.1 solutions Answer 31323 by Nate(3500)   on 2006-07-26 23:45:29 (Show Source): You can put this solution on YOUR website!Just answered this: 1 hours 40 minutes
 Travel_Word_Problems/47427: A car enters a freeway traveling 50 kilometer per hour. One hour later another car enters the freeway by the same ramp, traveling 80 kilometer per hour. Determine the length of time before the second car overtakes the first car?1 solutions Answer 31322 by Nate(3500)   on 2006-07-26 23:44:26 (Show Source): You can put this solution on YOUR website!Describe 'y' as the distance traveled while 'x' is the time: First Car: Secont Car: Equation: (5/3)(60) = 100 minutes = 1 hour 40 minutes
 Exponential-and-logarithmic-functions/47375: ln 1=0 change to exponential form1 solutions Answer 31317 by Nate(3500)   on 2006-07-26 22:51:14 (Show Source): You can put this solution on YOUR website!ln(1) = 0 log(e,1) = 0 1 = e^0
 Quadratic_Equations/47370: Solve the following quadratic equations by factoring or by any of the techniques. (x-1)^2 = 7 Thanks1 solutions Answer 31316 by Nate(3500)   on 2006-07-26 22:50:24 (Show Source): You can put this solution on YOUR website!(x - 1)^2 = 7 x - 1 = +- sqrt(7) x = 1 +- sqrt(7)
 logarithm/47374: Hi again, I could use soem help in seeing how this problem is worked out: 2^x-6=8^x Thanks again, Lous1 solutions Answer 31315 by Nate(3500)   on 2006-07-26 22:48:39 (Show Source):
 Problems-with-consecutive-odd-even-integers/47423: Number problems. Find two consecutive positive integers such that the sum of their squares is 85. Thank You!!!1 solutions Answer 31314 by Nate(3500)   on 2006-07-26 22:43:06 (Show Source): You can put this solution on YOUR website!First Positive Integer: i Second Positive Integer: i + 1 i + 7 = 0 i = -7 NO or i - 6 = 0 i = 6 YES Answer: 6 and 7
 Exponents/47376: Change into exponential form: 1n 1=01 solutions Answer 31313 by Nate(3500)   on 2006-07-26 22:37:43 (Show Source):