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# Recent problems solved by 'Alan3354'

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 Trigonometry-basics/333611: I am super confused with this type of questions. I would be grateful for your help. Thanks in advance. A) if 0 B) if sin x= 0.2, find cos 2x C)find sin 7π /12; how to I get here: (1+√3)/2√2 D) use π /12=(π /3)-(π /4) to find cos π /12 THANK YOU!!!!!!!!!!1 solutions Answer 239023 by Alan3354(30993)   on 2010-08-21 13:36:55 (Show Source): You can put this solution on YOUR website!A) if 0 What? ----------- B) if sin x= 0.2, find cos 2x --------------------- sin(2x) = 2sin(x)cos(x) = cos(2x) = 0.92 --------------- Repost the others, don't post several problems at one time. The tutors are much more likely to ignore them if you do. -------------------- C)find sin 7π /12; how to I get here: (1+√3)/2√2 D) use π /12=(π /3)-(π /4) to find cos π /12
 Inequalities/333602: Please help me solve this equation: 12x-3x+11>4x-(17-9x). So far I could only do the first step in which I combined like terms: 9x+11>4x-(17-9x). Thank you for your time!!!1 solutions Answer 239022 by Alan3354(30993)   on 2010-08-21 13:28:57 (Show Source): You can put this solution on YOUR website!12x-3x+11>4x-(17-9x). So far I could only do the first step in which I combined like terms: 9x+11>4x-(17-9x) -------------- 9x+11 > 4x - 17 + 9x 9x+11 > 13x-17 Can you finish it?
 Evaluation_Word_Problems/333612: Solve for T: V= 2P + T divided by T Please show me the steps on how you got the solution. thank you so much! 1 solutions Answer 239021 by Alan3354(30993)   on 2010-08-21 13:25:31 (Show Source): You can put this solution on YOUR website!Solve for T: V= 2P + T divided by T V = (2P + T)/T VT = 2P + T VT - T = 2P T*(V-1) = 2P T = 2P/(V-1)
 Mixture_Word_Problems/333609: Beau Glaser wishes to strengthen a mixture from 10% alcohol to 30% alcohol. How much pure alcohol should be added to 7 L of 10% mixture?1 solutions Answer 239020 by Alan3354(30993)   on 2010-08-21 13:22:48 (Show Source): You can put this solution on YOUR website! Beau Glaser wishes to strengthen a mixture from 10% alcohol to 30% alcohol. How much pure alcohol should be added to 7 L of 10% mixture? -------------------- 7 liters of 10% is 90% water = 6.3 liters of water Adding alcohol to make it 30% alcohol means that 6.3 liters of water will be 70% of the mixture. --------------- If 6.3 liters = 70%, then 9 liters = 100% Add 2 liters of alcohol (9 - 7 = 2 liters)
logarithm/333599: Can you help me set the equation x(x+7)=14 to zero?
1 solutions

Answer 239019 by Alan3354(30993)   on 2010-08-21 13:19:41 (Show Source):
You can put this solution on YOUR website!
Can you help me set the equation x(x+7)=14 to zero?
x(x+7) - 14 = 0
Like that?

 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=105 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 1.6234753829798, -8.6234753829798. Here's your graph:

 Vectors/333475: For u= i + j - 2k, v= 3i + j + 2k and w= 2i - 2j - 3k Will someone please show me how to find the cross product of u and w? Thanks, -Nick1 solutions Answer 239004 by Alan3354(30993)   on 2010-08-21 10:02:55 (Show Source): You can put this solution on YOUR website!For u= i + j - 2k, v= 3i + j + 2k and w= 2i - 2j - 3k Will someone please show me how to find the cross product of u and w? --------- Use determinants. |i +j +k| |1 +1 -2| = cross product |2 -2 -3| ---------- i(-3 - 4) -j(-3 + 4) + k(-2 - 2) = -7i -j -4k
 Rational-functions/333536: Shawn is taking a science test. So far he answered 12 out of 15 questions correctly. then Shawn's teacher tells the class that there are addidtional questions on the back of the test. Shawn answers all of the questions on the back of the test correctly. If x represents the number of additional questions on the back of the test, which rational expression models the situation? a. 12+x/15+x b. 15+x/12+x c. 12/15*x d.12/15 I believe that the proper answer would be A. because he got 12/15 right, but then the additional (x) on the back he also got right, so 12x would stand for the questions he got right, while 15x stands for the total problems...I am wondering if someone could tell me if i am correct in this assumption... thanks in advance Becca1 solutions Answer 239003 by Alan3354(30993)   on 2010-08-21 09:44:14 (Show Source): You can put this solution on YOUR website!It is A
 Rational-functions/333537: I am feeling quite stupid when it comes to algebra and I again am having difficulties with another problem. I am asking for help and if at all possible explination on how to figure each step as i am attempting to understand the aspect of the problems. the problem: (x-2)/3+1=2x any help will be much appreciated thanks becca1 solutions Answer 239002 by Alan3354(30993)   on 2010-08-21 09:40:12 (Show Source): You can put this solution on YOUR website!(x-2)/3+1=2x Subtract 1 (x-2)/3 = 2x - 1 Multiply by 3 x-2 = 3(2x - 1) x-2 = 6x - 3 Add 3 x + 1 = 6x Subtract x 5x = 1 Divide by 5 x = 1/5
 Rectangles/333552: Ifa rectangle with length 5 feet and width 8 feet whats the answer and how did you get it1 solutions Answer 239001 by Alan3354(30993)   on 2010-08-21 09:37:12 (Show Source): You can put this solution on YOUR website!What's the question?
 logarithm/333550: solve the exponential equation: e^-t=0.061 solutions Answer 239000 by Alan3354(30993)   on 2010-08-21 09:36:31 (Show Source): You can put this solution on YOUR website!solve the exponential equation: e^-t=0.06 ------------ e^-t=0.06 -t = ln(0.06) t = -ln(0.06) t =~ -2.81341
 Rectangles/333551: If the area of a rectangle was 24 square inches how many combinations of length and width are there? List all the combinations.1 solutions Answer 238999 by Alan3354(30993)   on 2010-08-21 09:31:30 (Show Source): You can put this solution on YOUR website!If the area of a rectangle was 24 square inches how many combinations of length and width are there? List all the combinations. ------------ There are too many to list, there are an infinite number. W*L = 24 W = 24/L Pick any number for L > 0 and L < 24 and find W
 Travel_Word_Problems/333478: officers from your department are investigating the murder of a teenage boy in his home, which is 12 feet by 18 feet. what is the total area of the living room in square feet?1 solutions Answer 238965 by Alan3354(30993)   on 2010-08-20 21:57:04 (Show Source): You can put this solution on YOUR website!Is the house 12 by 18? That's a small house. What are the dimensions of the living room? And, where were you when he was murdered?
 Linear-equations/333491: I am taking college algebra, we are in the 1st week of class and have not covered how to graph Y=1+150X. I am taking an online economics class and I am working on my homework. My graphing calculator is in the car but I don't know how to use it yet. Please help!1 solutions Answer 238964 by Alan3354(30993)   on 2010-08-20 21:55:07 (Show Source): You can put this solution on YOUR website!It's a straight line, so you need 2 points. Pick values for x and find y. Plot the 2 points. Draw a line thru them.
 Graphs/333495: graph the equation I am not sure where to begin and end with this problem. I could really use some help thanks1 solutions Answer 238963 by Alan3354(30993)   on 2010-08-20 21:53:56 (Show Source): You can put this solution on YOUR website!It's a straight line, so you need 2 points. Pick values for x and find y. Plot the 2 points. Draw a line thru them.
 Expressions-with-variables/333493: solve using the substitution method I could really use some help on this one please.1 solutions Answer 238961 by Alan3354(30993)   on 2010-08-20 21:47:32 (Show Source): You can put this solution on YOUR website!solve using the substitution method 8s + 12t = 16 6s + 9t = 12 --------------- Reduce the equations 8s + 12t = 16 --> 2s + 3t = 4 6s + 9t = 12 --> 2s + 3t = 4 --------------- It's the same equation --> no unique solution. They're dependent --> infinite # of solutions. ---------------- 8s + 12t = 16 6s + 9t = 12 --> s = (4-3t)/2 --------------- Sub for s in the 1st eqn 8(4-3t)/2 + 12t = 16 16 - 12t + 12t = 16 16 = 16
 Vectors/333487: Hi again, Will someone show me how to determine whether the following line: L= (2,-3,4) + t(1,2,3) contains the point (4,1,10). Would be most appreciated. Thanks, -Nick 1 solutions Answer 238960 by Alan3354(30993)   on 2010-08-20 21:02:52 (Show Source): You can put this solution on YOUR website!Will someone show me how to determine whether the following line: L= (2,-3,4) + t(1,2,3) contains the point (4,1,10). -------------- If t = 2, then the point (2+2,-3+4,4+6) is on the line = (4,1,10)
 Numeric_Fractions/333400: 7 1/3 - 4 11/12 =1 solutions Answer 238951 by Alan3354(30993)   on 2010-08-20 17:42:08 (Show Source): You can put this solution on YOUR website!7 1/3 - 4 11/12 = 7 4/12 - 4 11/12 = 6 16/12 - 4 11/12 = 2 5/12
 Travel_Word_Problems/333448: An object is thrown upward from the top of a 160-foot building with an initial velocity of 48 feet per second. The height h of the object after t seconds is given by the quadratic equation h = -16t^2 + 48t + 160. When will the object hit the ground?1 solutions Answer 238950 by Alan3354(30993)   on 2010-08-20 17:40:32 (Show Source): You can put this solution on YOUR website!An object is thrown upward from the top of a 160-foot building with an initial velocity of 48 feet per second. The height h of the object after t seconds is given by the quadratic equation h = -16t^2 + 48t + 160. When will the object hit the ground? ------------ When h = 0 h = -16t^2 + 48t + 160 = 0 Solve for t
 Graphs/333396: What is the answer to y>= - 2 x>= 41 solutions Answer 238943 by Alan3354(30993)   on 2010-08-20 17:12:59 (Show Source): You can put this solution on YOUR website!What is the question?
 Travel_Word_Problems/333407: If a boy walks 7 miles north at 1.5 miles an hour and a girl walks 9 miles at 2 miles an hour, how long will it take for them to meet?1 solutions Answer 238926 by Alan3354(30993)   on 2010-08-20 15:41:28 (Show Source): You can put this solution on YOUR website!It depends on where they started, when they started, and the direction the girl walks.
 Equations/333412: I need help with the following problem: 3x^2-13/x^2-2x-81 solutions Answer 238924 by Alan3354(30993)   on 2010-08-20 15:37:59 (Show Source): You can put this solution on YOUR website!Help doing what?
 test/333431: X^4-4x^3+3x^2-x+1 ÷ x^2+x-41 solutions Answer 238923 by Alan3354(30993)   on 2010-08-20 15:33:41 (Show Source): You can put this solution on YOUR website!= Rem -3x + 49
 Numbers_Word_Problems/333433: One interger is 3 more than twice another. If the product of those integers is 65. find the two integers1 solutions Answer 238921 by Alan3354(30993)   on 2010-08-20 15:33:16 (Show Source): You can put this solution on YOUR website!65 has only 2 factors. Try those.
 test/333434: X^4-4x^3+3x^2-x+1÷x^2+x-41 solutions Answer 238920 by Alan3354(30993)   on 2010-08-20 15:32:31 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Quadratic-relations-and-conic-sections/333265: Which of the following defines what a circle is? 1. a curve made by intersecting a cone with a plan 2. a curve made when the plan intersects the cone parallel with its base 3. a curve made when the plane intersects the cone parallel with its side 4. a curve made when the plane intersects the cone at some non-specific angle1 solutions Answer 238796 by Alan3354(30993)   on 2010-08-19 21:23:45 (Show Source): You can put this solution on YOUR website!It's #2 Actually, it's the intersection of a plane normal to the axis of the cone, since the base is not defined. -------------------- A better definition is the locus of points equidistant from a given point.
 test/333243: If sin B 6/3, find the value of csc B?1 solutions Answer 238770 by Alan3354(30993)   on 2010-08-19 20:02:38 (Show Source): You can put this solution on YOUR website!If sin B 6/3, find the value of csc B? -------------- There is no real number angle that has a sine of (6/3).
 Equations/333199: in triangle ABC, angle A = 2x to 0 power, angle b = (x-45) to 0 power and angle c = (x-15) to 0 power. What kind of triangle is ABC? How did you figure it out? and what does the 0 power do? Thank you.1 solutions Answer 238765 by Alan3354(30993)   on 2010-08-19 19:54:25 (Show Source): You can put this solution on YOUR website!in triangle ABC, angle A = 2x to 0 power, angle b = (x-45) to 0 power and angle c = (x-15) to 0 power. What kind of triangle is ABC? How did you figure it out? and what does the 0 power do? ---------------------- Anything to the power of zero = 1, so the 3 angles are each 1º. That's not possible, something's misunderstood.
 Points-lines-and-rays/333141: A toy designer wants to create a set of toys with a center of gravity. The best choice of concurrent lines and points to place the center of gravity would be1 solutions Answer 238717 by Alan3354(30993)   on 2010-08-19 17:31:24 (Show Source): You can put this solution on YOUR website!A toy designer wants to create a set of toys with a center of gravity. -------------- Every object has a center of gravity.
 Geometry_proofs/333168: Can you help me with this problem: Find the counterexample of The square root of x is less than x.1 solutions Answer 238716 by Alan3354(30993)   on 2010-08-19 17:26:12 (Show Source): You can put this solution on YOUR website!A counterexample is any number between 0 and 1, inclusive. eg,
 Linear-equations/333159: Without graphing determine whether the following pairs of lines are (a) parallel (b) perpendicular, or (c) neither parallel nor perpendicular 5x-6y=19 6x+5y=-301 solutions Answer 238698 by Alan3354(30993)   on 2010-08-19 16:10:04 (Show Source): You can put this solution on YOUR website!5x-6y=19 m1 = 5/6 6x+5y=-30 m2 = -6/5 m1 * m2 = -1 --> perpendicular
 Surface-area/333118: Find the difference in the area of a straw with a diameter of 5mm and a straw with a diameter of 7mm. 1 solutions Answer 238684 by Alan3354(30993)   on 2010-08-19 14:55:42 (Show Source): You can put this solution on YOUR website!For d = 5 mm: For 7 mm: Difference = 6 pi sq mms