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Alan3354 answered: 30973 problems
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Sequences-and-series/315886: The next number in the sequence 1, 4/3, 2, 16/5, 16/3, 64/7……. is (A) 128 / 9 (B) 92 / 5 (C) 16 (D) 108 / 7 (E) None of these 1 solutions Answer 225986 by Alan3354(30993)   on 2010-06-20 09:10:01 (Show Source): You can put this solution on YOUR website! The next number in the sequence 1, 4/3, 2, 16/5, 16/3, 64/7……. is (A) 128 / 9 (B) 92 / 5 (C) 16 (D) 108 / 7 (E) None of these ----------------- 1, 4/3, 2, 16/5, 16/3, 64/7 = 2/2, 4/3, 8/4, 16/5, 32/6, 64/7, then 128/8 = 16 ----- The numerator is doubled, the denominator is increased by 1.

Rational-functions/315862: Rewrite with a rational exponent. ^7sqrt22 1 solutions Answer 225984 by Alan3354(30993)   on 2010-06-20 08:39:50 (Show Source): You can put this solution on YOUR website! I don't know what ^7sqrt22 means.

Linear_Equations_And_Systems_Word_Problems/315881: a student is trying to solve the equation (x + 10)(x - 10)=7. The student has set x + 7 and x - 10 = 7 and found that two solutions x=3, x=17. The student checks the results by plugging inthe solutions into the original equation and finds they do not work. How would you advise the student? 1 solutions Answer 225983 by Alan3354(30993)   on 2010-06-20 08:37:57 (Show Source): You can put this solution on YOUR website! I'd tell him he's doing it wrong.

Expressions-with-variables/315813: 4+5i/6+i write in a+bi form 1 solutions Answer 225948 by Alan3354(30993)   on 2010-06-19 21:47:06 (Show Source): You can put this solution on YOUR website! 4+5i/6+i write in a+bi form ------ Multiply the numerator and the denominator by the conjugate of the DEN, 6-i

logarithm/315818: solve. where appropriate, include approximations to the nearest thousandth. if no solution exists, state this. 2^(x+1) = 4 1 solutions Answer 225947 by Alan3354(30993)   on 2010-06-19 21:45:42 (Show Source): You can put this solution on YOUR website! 2^(x+1) = 4 (x+1)*log(2) = log(4) x+1 = log(4)/log(2) = 2 x = 1

logarithm/315778: solve for y y = -log(base4)0.75 y = -log(base4)0.50 y = -log(base4)0.25 1 solutions Answer 225946 by Alan3354(30993)   on 2010-06-19 21:37:07 (Show Source): You can put this solution on YOUR website! solve for y y = -log(base4)0.75 y = -log(base4)0.50 y = -log(base4)0.25 ---------------------- Use the base change formula. y = -log(base4)0.25 y = - log(0.25)/log(4) y = 1 ---------- Do the others the same way.

Functions/315770: I do not know how to calculate this function. Please help me to solve this problem (sin5x)^2^x^-^3 thank you a million times 1 solutions Answer 225943 by Alan3354(30993)   on 2010-06-19 21:33:32 (Show Source): You can put this solution on YOUR website! That's not clear. what is x^-^3 ???

Linear-equations/315814: I need help on how to get a solution. Here is an example of the type of problem it is -3/5 = -1/9 - 3/4 Please help me with this type of problem, I've tried so many different solutions but I cannot get the answer right. 1 solutions Answer 225942 by Alan3354(30993)   on 2010-06-19 21:30:38 (Show Source): You can put this solution on YOUR website! I need help on how to get a solution. Here is an example of the type of problem it is -3/5 = -1/9 - 3/4 -------------------- -3/5 is not equal to -1/9 - 3/4 You state that it is, it is not. Where did you get such a problem?

logarithm/315787: log (base 5) (2x+3) = 3 also, show me, step by step, how exactly, you can solve this problem 1 solutions Answer 225925 by Alan3354(30993)   on 2010-06-19 19:04:34 (Show Source): You can put this solution on YOUR website! log (base 5) (2x+3) = 3 Use both sides as the exponent of the base 2x+3 = 125 2x = 122 x = 61

Quadratic_Equations/315700: Express 4√1875 into simplest form? Simplify 4√(1625)³ 1 solutions Answer 225873 by Alan3354(30993)   on 2010-06-19 08:47:23 (Show Source): You can put this solution on YOUR website! The other tutor put (25)^4 when it should be 5^4, but got the right answer.

Trigonometry-basics/315698: Hi, could you please help me with solving sin{2theta}=-cos{{7pi}/4} for 0 to 2pi Many thanks, Sam 1 solutions Answer 225872 by Alan3354(30993)   on 2010-06-19 08:44:37 (Show Source): You can put this solution on YOUR website! sin{2theta}=-cos{{7pi}/4} for 0 to 2pi --------------------- 7pi/4 = 315º cos(7pi/4) = sqrt(2)/2 sin(2T) = -sqrt(2)/2 2T = 225, 315, 585, 675 2T = 5pi/4, 7pi/4, 13pi/4, 15pi/4 theta = 5pi/8, 7pi/8, 13pi/8, 15pi/8

Expressions-with-variables/315595: Solve. Round results to the nearest thousandth.x^2+77x-13=0 1 solutions Answer 225818 by Alan3354(30993)   on 2010-06-18 19:04:37 (Show Source): You can put this solution on YOUR website! Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) 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=5981 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.168462601970617, -77.1684626019706. Here's your graph:

Volume/315473: A rectangular box has volume 15 cm^3. If the length, width, and height are doubled, what is the volume of the resulting box? 1 solutions Answer 225709 by Alan3354(30993)   on 2010-06-18 08:22:09 (Show Source): You can put this solution on YOUR website! 8*15 = 120 cc --------------- Volume is a function of the cube of the dimensions. Multiplying the edge dimension, or the radius of a sphere, etc, by F gives a volume change of F^3. --------------------- Surface area is a function of the square, a factor of F change gives F^2 change in area.

Polynomials-and-rational-expressions/315163: I need help with this equation below. 1. Find the least common multiple (LCM)of (7+6u),(49-36u^2) and (7-6u) 1 solutions Answer 225623 by Alan3354(30993)   on 2010-06-17 18:00:09 (Show Source): You can put this solution on YOUR website! I need help with this equation below. 1. Find the least common multiple (LCM)of (7+6u),(49-36u^2) and (7-6u) ---------------------- There is no equation. Equations have equal signs. Equal, equate, equation. Equations are often solved. you have nothing to solve. --------------- Your problem states: Find the least common multiple (LCM)of (7+6u),(49-36u^2) and (7-6u) 49 - 36u^2 is the product of the other two terms, so it's the LCM.

Linear-equations/315316: Can you show me how you would graph the line with slope 2/3 passing through the point (4,1) 1 solutions Answer 225614 by Alan3354(30993)   on 2010-06-17 17:17:10 (Show Source): You can put this solution on YOUR website! It's a straight line, so 2 points are needed. One is given, (4,1) A slope of 2/3 means that for 3 squares in the x direction, you move 2 squares in the y direction. Since it's +2/3, both moves are + or both minus. Start at (4,1). Add 2 to the y and 3 to the x --> (7,3) Add any multiples, eg (4+3n,1+2n) where n is any number, + or minus. --> (10,7), (1,-1), etc Pick 2 points, plot them draw a line thru them.

Linear-equations/315298: Can you show/explain how to graph the line with the slope 3 passing through the points (-2,1)? 1 solutions Answer 225581 by Alan3354(30993)   on 2010-06-17 16:27:17 (Show Source): You can put this solution on YOUR website! A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com

Linear-equations/315299: can you help me fins an equation of the line that is parallel to the line y=8/5x+5 and that passes through the point (8,-7)? 1 solutions Answer 225580 by Alan3354(30993)   on 2010-06-17 16:26:55 (Show Source): You can put this solution on YOUR website! A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com

logarithm/315194: I have another question I am stuck on. Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between 0 and-1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph. y=log2(x+2) 1 solutions Answer 225492 by Alan3354(30993)   on 2010-06-17 10:53:43 (Show Source): You can put this solution on YOUR website! I have another question I am stuck on. Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between 0 and-1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph. y=log2(x+2) ----------------- I think you mean log base 2 ? ------------------------ Calculators don't have logs base 2, so you use the base change formula ------------------ You sub the values for x, and find y. It says 3 values > -1 and 3 values between -1 and 0. The values between -1 and 0 will be greater than -1 ??? That's redundant. --------------- x y -1 0 -0.8 0.263034406 -0.6 0.485426827 -0.4 0.678071905 -0.2 0.847996907 0 1 0.2 1.137503524 0.4 1.263034406 0.6 1.378511623 0.8 1.485426827 1 1.584962501 I used Excel email me at moral loophole@aol.com if you want a graph

Travel_Word_Problems/315044: A train left a station trveling 100km/h. a second train left 2 hours later and headed in the same direction at 125km/h. After many hours did the second train overtake the first train? 1 solutions Answer 225372 by Alan3354(30993)   on 2010-06-16 21:50:17 (Show Source): You can put this solution on YOUR website! A train left a station trveling 100km/h. a second train left 2 hours later and headed in the same direction at 125km/h. After many hours did the second train overtake the first train? -------------------- In 2 hours, the 1st train went 200 km (100 x 2) The 2nd train is gaining on the 1st train at 25 km/hr (125 - 100) 200/25 = 8 hours.

Polynomials-and-rational-expressions/315072: 3x^3+24x^2+48x 1 solutions Answer 225371 by Alan3354(30993)   on 2010-06-16 21:48:35 (Show Source): You can put this solution on YOUR website! Do you have a question?

Expressions-with-variables/315074: y^4-8y^2-9 1 solutions Answer 225370 by Alan3354(30993)   on 2010-06-16 21:48:04 (Show Source): You can put this solution on YOUR website! Do you have a question?

Rate-of-work-word-problems/315079: Sam can paint a house in 4 hours, John can paint the same house in 6 hours. How long will it take for both of them to paint the house together? 1 solutions Answer 225368 by Alan3354(30993)   on 2010-06-16 21:46:20 (Show Source): You can put this solution on YOUR website! Sam does 1/4 of the house per hour. John does 1/6 per hour. ---------------- What part do they do together?

Graphs/315051: find all points having an x coordinate of 9, whose distance from the point (3,-2) is 10 1 solutions Answer 225364 by Alan3354(30993)   on 2010-06-16 21:35:53 (Show Source): You can put this solution on YOUR website! find all points having an x coordinate of 9, whose distance from the point (3,-2) is 10 ------------------- Find the circle of radius 10 with its center at (3,-2) That's (x-3)^2 + (y+2)^2 = 100 Sub 9 for x 6^2 + (y^2 + 4y + 4) = 100 y^2 + 4y + 4 = 64 y^2 + 4y - 60 = 0 Solve for y y = (-4/2) ± sqrt(16 + 240)/2 y = -2 ± 8 -------------- --> (9,6) and (9,-10) Don't make it a thesis.

Linear-equations/315055: How to find the equation of the line tha contains the point (-1, 4) and is parallel to the line 2x - 3y = 5. I can get the slope of the given line. But i am getting lost using the point slope formula once I get to y -4 = 2/3x + 2/3. Could you please work through the entire equation without leaving any step out please.. Thank you so much Grateful Sandy 1 solutions Answer 225349 by Alan3354(30993)   on 2010-06-16 20:40:55 (Show Source): You can put this solution on YOUR website! How to find the equation of the line tha contains the point (-1, 4) and is parallel to the line 2x - 3y = 5. I can get the slope of the given line. But i am getting lost using the point slope formula once I get to y -4 = 2/3x + 2/3. Could you please work through the entire equation without leaving any step out please.. Thank you so much ---------------------------- y -4 = 2/3x + 2/3 You can add 4 to both sides to get y = (2/3)x + 14/3, but it's not necessary. The slope is 2/3, that's all you need to know. Parallel lines have the same slope. ------------------- Use y = mx + b and the point to find b. 4 = (2/3)*-1 + b b = 4 - 2/3 = 10/3 Now you have m and b --> y = (2/3)x + 10/3

Polynomials-and-rational-expressions/315052: Factor completely. 6x^2 + 8x + 2 I do not understand how to get this, but the answer in the back of the book is 2(3x + 1)(x +1) 1 solutions Answer 225346 by Alan3354(30993)   on 2010-06-16 20:36:06 (Show Source): You can put this solution on YOUR website! Factor completely. 6x^2 + 8x + 2 All the coefficients are even, so factor out a 2 = 2*(3x^2 + 4x + 1) -------------- The middle coefficient is the sum of the other 2. = 2(3x+1)*(x+1)

Travel_Word_Problems/315024: x - y = 19 2x + y = 2 please help me work this out 1 solutions Answer 225334 by Alan3354(30993)   on 2010-06-16 19:13:22 (Show Source): You can put this solution on YOUR website! x - y = 19 2x + y = 2 please help me work this out ------------- What kind of help would you like? ------------- We can start with, what is it you want to do?

Linear_Algebra/314996: x + 2y + 3z = 11 1 solutions Answer 225327 by Alan3354(30993)   on 2010-06-16 18:04:13 (Show Source): You can put this solution on YOUR website! That's the equation of a plane in 3-space. Do you have a question?

Linear-equations/315001: write the equation of a line that passes through the point (-2,2) and is parallel to the line whose equation is 4x-y=8. can sombody step by step show me how this is done 1 solutions Answer 225326 by Alan3354(30993)   on 2010-06-16 18:02:14 (Show Source): You can put this solution on YOUR website! A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com

test/314223: What is the magnifying level of a telescope if the length is 1500 mm and 9 mm? 1 solutions Answer 224678 by Alan3354(30993)   on 2010-06-14 18:39:39 (Show Source): You can put this solution on YOUR website! If those are the focal lengths of the mirror and the eyepiece, or the objective lens and the eyepiece for a refractor, it's 1500/9 = 500/3 ----------- Don't buy a telescope based only on magnification. The light gathering is much more important. A lot of cheap, useless telescopes are sold with big mag numbers, and they're worthless.

Linear-equations/314291: which of the following equations decribes the line shown below? check all that apply. (-4,10) and (-7,-5) 1 solutions Answer 224677 by Alan3354(30993)   on 2010-06-14 18:35:23 (Show Source): You can put this solution on YOUR website! No line is shown.

Equations/314299: what is the equation to 5+2x=37 1 solutions Answer 224676 by Alan3354(30993)   on 2010-06-14 18:34:58 (Show Source): You can put this solution on YOUR website! I don't know what that means. I don't think it's my fault.