http://www.answerbag.com/profile/12708 New Answerbag answers from Quirkie Tue, 29 May 2012 00:19:34 -0700 Tue, 29 May 2012 00:19:34 -0700 http://www.answerbag.com/a_view/8501463 Beginer's question for and only for Mr Blaylock. What is the binding energy er nucleon of 12/6C..Carbon 12.6 Since wecannotr use sub nor superscripts here?<br /><br />For and only for Mr Blaylock: 92 MeV (take the mass of the protons and neutrons, subtract the mass of the nucleus, divide by 12) Wed, 09 Dec 2009 11:58:04 -0800 http://www.answerbag.com/a_view/8501463 http://www.answerbag.com/a_view/8501435 At what speed is the kinetic energy of a particle equal to its rest energy?<br /><br />It never is. Kinetic energy is (1/2) m v^2 so even at the speed of light, that&#039;s still only half the rest energy. Wed, 09 Dec 2009 11:52:12 -0800 http://www.answerbag.com/a_view/8501435 http://www.answerbag.com/a_view/8501389 Let S3 be the six digit numbers whose one's digit equals the number of 3's appearing in the number. find the number of S(3) numbers<br /><br />It doesn&#039;t seem worth making a special formula. Just look at each in turn: Last digit = 0, 8*9*9*9*9*1 numbers. Last digit = 1, first digit 3: 1*9*9*9*9*1 Last digit = 1, first digit not 3: 8*1*9*9*9*1 * 4 Last digit = 2, first digit 3: 1*1*9*9*9*1 * 4 Last digit = 2, first digit... Wed, 09 Dec 2009 11:41:27 -0800 http://www.answerbag.com/a_view/8501389 http://www.answerbag.com/a_view/8501258 When (ax^3-4x^2+5x-3) is divided by (x+2) and (x+1) the remainders are equal, find 'a'?? HOW THE HECK DO YOU DO THIS?<br /><br />Synthetic division. I know you stated the question wrong, but suppose I do it for the question you asked, and then you can do it the same way for the correct question. ax^3 - 4x^2 + 5 x - 3 is a polynomial It&#039;s a bit like a decimal number: 1248 is 1*10^3 + 2*10^2 + 4*10^1 + 8 If... Wed, 09 Dec 2009 11:16:38 -0800 http://www.answerbag.com/a_view/8501258 http://www.answerbag.com/a_view/8442202 Solve: 27(1 1/9)<br /><br />27(1 1/9) is 27 times (1 1/9) is 27 times (1 and a ninth) is (27 and a ninth of 27) is your turn. Wed, 02 Dec 2009 17:28:13 -0800 http://www.answerbag.com/a_view/8442202 http://www.answerbag.com/a_view/8442181 In the compound interest formula A=P((1+(R/N))^(NT)) what does N equal what does R equal what does T equal<br /><br />A=P((1+(R/N))^(NT)) P is initial capital A is accumulated capital R is yearly rate N is number of payments per year T is term (number of years over which compounded) Wed, 02 Dec 2009 17:25:40 -0800 http://www.answerbag.com/a_view/8442181 http://www.answerbag.com/a_view/8442159 Evaluate the definite integral: (1)∫(9) [ (4x^2+3) / (√x) ] dx (the integral is from 1 to 9) I have been trying to do this problem for hours and I have had no success, please help! Explain any work if possible, thank you!<br /><br />I would try u=sqrt(x)=x^0.5 du/dx = 0.5 x^-0.5 so 2du/dx is part of your question already. You have [4x^2 + 3]/sqrt(x) which is [4x^2 + 3] * 2 * du/dx = [4 u^4 + 3 ] * 2 * du /dx Using the chain rule this becomes: = Integral u(0) to u(9) of [ 4 u^4 + 3 ] * 2 du which is a simple one.... Wed, 02 Dec 2009 17:22:06 -0800 http://www.answerbag.com/a_view/8442159 http://www.answerbag.com/a_view/8442051 A Norman window is in the form of a rectangle below a semicircle. If the outside perimeter of the window is 10 ft, find the dimensions of the rectangle (length and width) so that the area of just the rectangle is maximized.<br /><br />perimeter of half a circle = half pi times diameter = half pi times width of rectangle. Equation for perimeter = (half pi + 1) * width of rectangle + 2 * height of rectangle = 10 Quantity to maximize: width * height. Introduce two variables x = width*(half pi + 1) y = height*2 Now x +... Wed, 02 Dec 2009 17:10:42 -0800 http://www.answerbag.com/a_view/8442051 http://www.answerbag.com/a_view/8441819 How do you find the integral of 3N^3((6N^4+5N+8)^7) without multiplying out the whole equation first?<br /><br />You can&#039;t. If you imagine it written out, there will be large even powers which when integrated are going to make large odd denominators which won&#039;t cancel. However, if it weren&#039;t for the &#039;5N&#039; it would be a simple substitution. So could the 5N part be wrong? Wed, 02 Dec 2009 16:49:46 -0800 http://www.answerbag.com/a_view/8441819 http://www.answerbag.com/a_view/8441172 Given: F(x) = x2, find [F(x+h) - F(x)] / h and simplify.<br /><br />If F(x) = x^2 Then F(2) = 2^2 F(3) = 3^2 F(banana) = banana^2 F(x+h) = (x+h)^2 F(x) = x^2 [F(x+h) - F(x)] / h = your turn The remaining step is not calculus it&#039;s algebra. You have to do some algebra before you attempt calculus. Are you in the right class? Wed, 02 Dec 2009 15:33:27 -0800 http://www.answerbag.com/a_view/8441172 http://www.answerbag.com/a_view/8441029 Let G(x)= (1∫ x) xt dt (integral from 1 to x) Find G' (x). I'm extremely lost in my calculus class! Please explain any work if possible! Thank you :)<br /><br />You have G(x) = integral of 1 to x of f(t) dt where f(t) is some function of t. You can integrate f(t) indefinitely to make F(t) + C all this means is to find some F(t) whose derivative F&#039;(t) is f(t) Then integral of 1 to x f(t) dt is then defined as F(x) - F(1) If G(x) = F(x) -... Wed, 02 Dec 2009 15:18:03 -0800 http://www.answerbag.com/a_view/8441029 http://www.answerbag.com/a_view/8440525 Use the Second Fundamental Theorem of calculus combined with the Generalized Power Rule to evaluate the integral: (integral from zero to pi/2) [(sin^2)3xcos3x(dx)] I'm extremely lost in my calc class! Please help and show any work if possible!<br /><br />I&#039;m not sure what the &quot;Second Fundamental Theorem of Calculus&quot; is supposed to be. But the integral you mentioned looks like integral f(u) (du/dx) dx where du/dx is cos 3x In such a case, you can use the substitution rule, sometimes confusingly called the chain rule,... Wed, 02 Dec 2009 14:08:41 -0800 http://www.answerbag.com/a_view/8440525 http://www.answerbag.com/a_view/8439980 Given: f(x) = x2 + 2x + 1, find f(x + h) and simplify. I have no clue how to do this. Please help me?<br /><br />x^2 stands for x with a superscript 2 x^2 means x*x 2x means 2*x * means &#039;multiplied by&#039; if f(x) = x^2 + 2x + 1 then f(1) = 1^2 + 2*1 + 1 f(2) = 2^2 + 2*2 + 1 f(3) = 3^2 + 2*3 + 1 f(banana) = banana^2 + 2 banana + 1 f(x+h) = (x+h)^2 + 2(x+h) + 1 You then use the... Wed, 02 Dec 2009 13:01:55 -0800 http://www.answerbag.com/a_view/8439980 http://www.answerbag.com/a_view/8439838 There two identical heavy springs, one foot each when un-stretched. When one spring is suspended from the ceiling it enlongates under its own weight to 2 feet. How long are two spings suspended from the ceiling in series?<br /><br />Nice puzzle. A single spring won&#039;t stretch evenly but more at the top which is carrying more weight than at the bottom. Each small piece of spring of length dl at height L will stretch to (1+kL)dl for some k if the spring behaves linearly. This integrates to L + kL^2/2. Over the whole... Wed, 02 Dec 2009 12:43:52 -0800 http://www.answerbag.com/a_view/8439838 http://www.answerbag.com/a_view/8439443 What is the amount of matter ina given volume of space?<br /><br />The density of a substance is defined as the amount of mater in a given volume of space. Given the density of a substance, find amount of matter by multiplying by the volume. Wed, 02 Dec 2009 11:50:27 -0800 http://www.answerbag.com/a_view/8439443 http://www.answerbag.com/a_view/8391342 How do we find the exact value of sec(-25rad/6)?<br /><br />Usually, by 1) Write it in degrees instead of radians. 2) Use the periodic and symmetric nature of the trig functions to get the value in the range 0-90 3) Compare it to one of the standard triangles 30-60-90 which is half of an equilateral triangle of side 2, and 45-45-90 with the legs side 1... Thu, 26 Nov 2009 16:42:33 -0800 http://www.answerbag.com/a_view/8391342 http://www.answerbag.com/a_view/8391297 X&y are #s such that pi/4 = tan-1(x)+tan-1(y). Give formula for pi/4 as sum of 2 series: one with x and the other with y. Explain why pi/4 can be better approximated, using fewer terms from the 2 series, if x&y are as small in magnitude as possible.<br /><br />The series for tan^-1(z) contains increasingly large powers of z. If z can be made small compared with 1, then the large powers will become insignificant. (Example, if z=0.1 then z^5 = 0.00001) Thu, 26 Nov 2009 16:32:49 -0800 http://www.answerbag.com/a_view/8391297 http://www.answerbag.com/a_view/8391289 Suppose that X~binomial (3,p) where p is unknown. We observe X=2. Write down P(X=2) and what value of p maximises P(X=2). Please Help!<br /><br />P(X=i) is nCi p^i q^(n-i) You have to learn this of the binomial. q=1-p The maximum value for P(X==i) occurs when p = i/n You can find that by differentiation: P&#039;(X=i) = nCi (i p^(i-1) q^(n-i) - (n-i) p^i q^(n-i-1)) Take out p^(i-1)q^(n-i-1) as a common factor: P&#039;(X=i) =... Thu, 26 Nov 2009 16:29:11 -0800 http://www.answerbag.com/a_view/8391289 http://www.answerbag.com/a_view/8391229 Find the number of 3 digits numbers whose digits add up to nine.<br /><br />Ending in 9: none Ending in 8: 108 7 - 117 207 6 - 126 216 306 5 - 135 225 315 405 4 - five numbers 144 to 504 3 - six numbers 153 to 603 2 - seven numbers 162 to 702 1 - eight numbers 171 to 801 0 - nine numbers 180 to 900 So 0+1+2+3+4+5+6+7+8+9 = 45 numbers in all. Thu, 26 Nov 2009 16:17:21 -0800 http://www.answerbag.com/a_view/8391229 http://www.answerbag.com/a_view/8391160 The minimum number of cards to be dealt from an arbitrarily shuffled deck of 52 cards to guarantee that 3 cards are from the same suit is a)3 b)8 c)9 d)12<br /><br />If I have a hand of cards where I have no more than 2 cards in each suit, the most cards I can have is 2 hearts + 2 diamonds + 2 spades + 2 clubs. 8 cards is the most I can have and not have 3 cards in a suit. Therefore 9 cards guarantees 3 cards in at least one suit. Thu, 26 Nov 2009 16:06:54 -0800 http://www.answerbag.com/a_view/8391160 http://www.answerbag.com/a_view/8391129 Is there a special term for a complex number in which the real part and the imaginary part are the same?<br /><br />Zero. The real part is always real. The imaginary part is always pure imaginary except at zero. They can only be equal if the complex number is zero. Thu, 26 Nov 2009 16:02:54 -0800 http://www.answerbag.com/a_view/8391129 http://www.answerbag.com/a_view/8364638 Evaluate the integral by interpreting it in terms of areas. (-5)∫(5) [√(25-x^2)] dx Im so confused in my calc class! Please explain any work that you can! Thank you!<br /><br />The square root part is part of the equation of a circle. If you have a circle of radius 5, then x^2 + y^2 = 5^2 y^2 = 25-x^2 y = sqrt(25-x^2) is the upper half of the circle. Integrating this wrt x gives the area of the upper half of that circle. Now all you have to do is multiply the area... Mon, 23 Nov 2009 16:45:17 -0800 http://www.answerbag.com/a_view/8364638 http://www.answerbag.com/a_view/8364547 How many solutions does the equation sin(sin(sin(sin(sin(x)))))=(x/3) have?<br /><br />Three. -1.856, 0, 1.856 approximately. Mon, 23 Nov 2009 16:33:49 -0800 http://www.answerbag.com/a_view/8364547 http://www.answerbag.com/a_view/8364434 Can anyone give the correct answer with a reason to it? 2,3,6,__,28.Thank you.<br /><br />2, 3, 6, _, 28 It&#039;s 13.5 but I&#039;m struggling to come up with an easy explanation. The best I have is if you take third differences of the cubes you get a constant: 1, 8, 27, 64, 125 Take the differences: 7, 19, 37, 61 second differences: 12, 18, 24 third differences: 6, 6,... Mon, 23 Nov 2009 16:20:56 -0800 http://www.answerbag.com/a_view/8364434 http://www.answerbag.com/a_view/8364023 Hey everyone! im working on a math project for school and i was wondering who could help. Q 1: what do positive and negative slopes look like? Q 2: what does the slope of 1 look like and what is it? thanks so much for all your help! thankyou thankyou! :)<br /><br />Positive slopes slope up. Negative slopes slope down. a slope of 1 goes up as much as it goes along. and for extra: a slope of 2 goes up twice as much as it goes along. Does this help? Mon, 23 Nov 2009 15:33:03 -0800 http://www.answerbag.com/a_view/8364023 http://www.answerbag.com/a_view/8364007 If $60 is estimated to be the average fuel cost (f) and the monthly hanger rental is $3,000- what would be the equation for the profit, P, in terms of x?<br /><br />You haven&#039;t said what x stands for. To find profit, find turnover (money coming in) and subtract outgoings/costs. Mon, 23 Nov 2009 15:31:38 -0800 http://www.answerbag.com/a_view/8364007 http://www.answerbag.com/a_view/8363960 How do you prove Pythagoras' Theory of a^2+b^2=c^2?<br /><br />There are more than 400 proofs. The one that I found easiest to understand was: Draw a square of side a+b units. Going clockwise mark a units along each side. Join these four points to make a tilted square and four triangles. Each of the triangles has sides a,b,c and an area of half ab. All... Mon, 23 Nov 2009 15:26:20 -0800 http://www.answerbag.com/a_view/8363960 http://www.answerbag.com/a_view/8256592 Need a little help with some simple things: If 100% are divided into parts of 1:2:3:4 . How do I calculate how much "%" each of them has? To clearify this case, the "1" has the highest per cent attribute, 4 the lowest. Thanks!<br /><br />If 100% is divided into ten parts (count 1+2+3+4) then each part must be 10% and the four slices are 10% 20% 30% and 40% Unfortuantely your &quot;clearification&quot; has it the other way, so I&#039;m not sure what you mean. Wed, 11 Nov 2009 13:29:37 -0800 http://www.answerbag.com/a_view/8256592 http://www.answerbag.com/a_view/8256549 To add numbers with different denominators, a student is consistently using the product of the denominators as a common denominator. Is this correct? Why or why not?<br /><br />The worst that can happen is that the resulting numerator and denominator have common factors so that the resulting fraction is not in its lowest terms. For some applications, this doesn&#039;t matter. If the student &quot;cancels&quot; factors from the numerator and denominator after the... Wed, 11 Nov 2009 13:25:22 -0800 http://www.answerbag.com/a_view/8256549 http://www.answerbag.com/a_view/8188042 ABCD is a rectangle with a point P on its interior. The distance from P to the vertices are x,y,z and w. Prove that x^2+z^2=y^2+w^2<br /><br />Each of the values x^2,y^2,w^2,z^2 can be written as the sum of two squares. For instance, if x is the distance of P from A, then x^2 is the sum of X1^2 + Y1^2 where X1 is the difference in x coordinate from P to A and Y1 is the difference in Y coordinate from P to A. Take two opposite corners... Wed, 04 Nov 2009 14:45:02 -0800 http://www.answerbag.com/a_view/8188042 http://www.answerbag.com/a_view/8130750 What does it take to prove that all circles are similar, that is similar in strict geometric sense? 'Cause if not all circles are similar, then how can we use the same constant π=22/7 for a ratio of circumference to diameter of all circles?<br /><br />Such a proof depends on your definition of how you measure the length of the circumference. One way is to find a series of polygons whose vertices lie on the circle, find the perimeter of the polygons and find the limit that the perimeter approaches. Suppose you have two circles, one... Thu, 29 Oct 2009 16:01:31 -0700 http://www.answerbag.com/a_view/8130750 http://www.answerbag.com/a_view/8130611 I am greater than four tens & less than five tens, I have nine ones, what am I?<br /><br />You are 49. 4 tens and 9 ones. (Used to be 4 tens and 9 UNITS when I learned it) Thu, 29 Oct 2009 15:40:41 -0700 http://www.answerbag.com/a_view/8130611 http://www.answerbag.com/a_view/8130565 What is the most weird way to measure the number π?<br /><br />Add up the series: 1 + 1/4 + 1/9 + 1/16 + 1/25 + ... Multiply by six. Take the square root. Thu, 29 Oct 2009 15:31:41 -0700 http://www.answerbag.com/a_view/8130565 http://www.answerbag.com/a_view/8130553 How do you factor 3x + 3?<br /><br />You know the answer, but how to get it? You&#039;re looking for two expressions A and B, neither of which are 1, which multiply to make 3x + 3 Here are some ideas:: 1) If the expression is a sum of terms, all of which have a common factor, then you can use that as A. Example in 33 = 30 +... Thu, 29 Oct 2009 15:29:13 -0700 http://www.answerbag.com/a_view/8130553 http://www.answerbag.com/a_view/8112578 Let's say I'm playing a game where for each bet I have a 49% chance of winning but I am only paid 1:1 if I win. If my betting size is constant, what is the likelihood that I have a net win after 10 trials? After 100? Aside from the answer, how do I go abo<br /><br />If I understand you correctly, the only way you are winning after ten trials, is by winning every one. In any case, the formula you need is the binomial distribution. Put p = 0.47 q is always 1-p Probability of i events out of n occurring is nCi p^i q^(n-i) nCi is the binomial... Tue, 27 Oct 2009 17:43:26 -0700 http://www.answerbag.com/a_view/8112578 http://www.answerbag.com/a_view/8112547 What is the Russlle paradox?<br /><br />Russel&#039;s paradox defines a set which contains all and only those sets which do not contain themselves. Does it contain itself? If it does, then it doesn&#039;t match its own definition, because it should only contain sets that don&#039;t contain themselves. If it does not contain... Tue, 27 Oct 2009 17:39:22 -0700 http://www.answerbag.com/a_view/8112547 http://www.answerbag.com/a_view/8112499 At what point is the Mandelbrot set considered the Julia set?<br /><br />Both Mandelbrot and Julia sets are created by iterating the action: x -&gt; x^2 + c But while the Mandelbrot starts at zero and varies c, a Julia set keeps c constant and varies the starting value of x. Each point of the Mandelbrot set corresponds to a Julia set. The Mandelbrot set... Tue, 27 Oct 2009 17:33:56 -0700 http://www.answerbag.com/a_view/8112499 http://www.answerbag.com/a_view/7803158 Does anyone know Times table tricks?<br /><br />The three times table is easier to remember if you write it in a 3x3 grid like this: 03 06 09 12 15 18 21 24 27 Notice how the units count up the columns and the tens increase with each row. There are also nice patterns with the seven times table: 07 14 21 28 35 42 49 56 63 ... Tue, 22 Sep 2009 14:12:28 -0700 http://www.answerbag.com/a_view/7803158 http://www.answerbag.com/a_view/7751899 How do I make t the subject? x^2 = (t - 3) / (2t + 1)?<br /><br />Need to get t on its own. First multiply by (2t+1) to get rid of fractions: x^2(2t+1) = (t-3) multiply out: 2 x^2 t + x^2 = t - 3 Put the t terms on one side: 2 x^2 t - t = - 3 - x^2 factorize the left hand side: (2 x^2 - 1) t = -3 - x^2 divide t = (-3 - x^2) / (2 x^2 - 1) Wed, 16 Sep 2009 14:00:36 -0700 http://www.answerbag.com/a_view/7751899 http://www.answerbag.com/a_view/7743694 Could anyone please tell me, if 25 increased by 25% over 3 years, how much would it be? I suck at maths<br /><br />There are four different answers to this question: A: If something is increased by 25% it doesn&#039;t matter how long it takes, an increase of a quarter is an increase of 6.25 which takes it to 31.25 B: But perhaps the question means, if it increases by 25% over 3 years, how much... Tue, 15 Sep 2009 16:00:51 -0700 http://www.answerbag.com/a_view/7743694 http://www.answerbag.com/a_view/7743587 Maths. trying to find mass of a shape that's bound by a curve and lines. lies on the xy plane. density is given by a particular function. Think I need to find the area integral of a function bound by these graphs, but what function?<br /><br />All you need is the area of the shape multiplied by the density. If you trace the boundary on graph paper with a pencil, your pencil may increase or decrease in x. Mark each of the points where the boundary of the shape changes from increasing in x to decreasing in x. And also when it changes... Tue, 15 Sep 2009 15:51:06 -0700 http://www.answerbag.com/a_view/7743587 http://www.answerbag.com/a_view/7743478 How close to 2 do we have to take x so that 5x+3 is within a distance of 0.075 from 13. I am confuse on how to evaluate this problem.<br /><br />Let the &quot;closeness&quot; to 2 be represented by c. c can be positive or negative. Then x = 2+c substitute in: 5(2+c)+3 within a distance of 0.075 of 13 13 + 5c within a distance of 0.075 of 13 0 + 5c within a distance of 0.075 of 0 5c within a distance of 0.075 of 0 c within a... Tue, 15 Sep 2009 15:38:06 -0700 http://www.answerbag.com/a_view/7743478 http://www.answerbag.com/a_view/7743430 F(x) =x^2 |x^2-1| < 1/2 whenever |x-1| <delta correct to four decimals round down if necessary<br /><br />F(x) =x^2 |x^2-1| &lt; 1/2 if x is zero or 1, then F(x) = 0, which is less than a half, so x near zero or one fits, I assume the &#039;whenever |x-1| &lt;delta&#039; means find the answer for when x is near 1. The region near x=1 where F(x) is less than a half is bounded by the points at... Tue, 15 Sep 2009 15:33:00 -0700 http://www.answerbag.com/a_view/7743430 http://www.answerbag.com/a_view/7743326 If f(x)=x-3 and g(x)2x-4, find (f+g)(x)<br /><br />If f(x)=x-3 and g(x)2x-4, find (f+g)(x) (f+g)(x) = f(x)+g(x) = 3x-7 Tue, 15 Sep 2009 15:20:55 -0700 http://www.answerbag.com/a_view/7743326 http://www.answerbag.com/a_view/7743320 If f(x) = x^2 +1 and g(x) =2x, find (f of g)(x)<br /><br />(f of g)(x) = f(g(x)) f(anything) = anything^2 + 1 f(g(x)) = (g(x))^2 + 1 but g(x) = 2x f(g(x)) = (2x)^2 + 1 = 4x^2 + 1 Tue, 15 Sep 2009 15:19:40 -0700 http://www.answerbag.com/a_view/7743320 http://www.answerbag.com/a_view/7743267 There's a high amount of nitrogen in the atmosphere, so why aren't we breathing excess amounts of nitrogen dioxide daily?<br /><br />It takes energy to form nitrogen dioxide from nitrogen and oxygen so the nitrogen and oxygen in the atmosphere stay as separate gases, and there are only tiny amounts of nitrogen dioxide in the air Tue, 15 Sep 2009 15:14:26 -0700 http://www.answerbag.com/a_view/7743267 http://www.answerbag.com/a_view/7628763 Integrate S[t^(9)e^(1+t^(5))] dt using integration by parts if possible. Thanks!<br /><br />To integrate by parts: If A&#039; denotes the derivative of A wrt x then (u v)&#039; = u v&#039; + u&#039; v Integrating both sides: [u v] = Integrate (u v&#039;)dx + Integrate(u&#039; v)dx Rearrange: Integrate(u v&#039;)dx = [u v] - Integrate(u&#039; v)dx When you use... Wed, 02 Sep 2009 18:14:45 -0700 http://www.answerbag.com/a_view/7628763 http://www.answerbag.com/a_view/7628617 If the end piont is (-8, -1) and the midpoint is (0, 3) the what is the other end point? same question with these other coordinates; endpoint(-5, 9) and midpoint(-8, -2) and coordinate; endpoint (-3.5, -6) and midpoint (1.5, 4.5)<br /><br />Start point (-8, -1) mid point is (0, 3) You moved +8 units in x and +4 in y to get to the mid point. You&#039;ll have to move the same distance again to get to the end point. Same method with the others. Wed, 02 Sep 2009 17:53:54 -0700 http://www.answerbag.com/a_view/7628617 http://www.answerbag.com/a_view/7620044 Sketch six points U,V,W,X,Y and Z on four lines such that each line contains three points?<br /><br />Draw a four sided shape with no parallel sides. Label the corners U,V,W,X Extend opposite pairs of sides until they cross. The two crossing points are Y and Z. There are four sides = four lines. Each side has two corners, plus one crossing point = three points per line. Tue, 01 Sep 2009 16:58:01 -0700 http://www.answerbag.com/a_view/7620044 http://www.answerbag.com/a_view/7619989 X^2=x^3, give two possible values for x. Please show how to work out problem.<br /><br />If x^3 = x^2 Then x^3 - x^2 = 0 factorize: x^2 (x - 1) = 0 Any of the three factors, x, x, and (x-1) could be zero. x could be zero, giving x=0 x could be zero, giving another x=0 (a double root) (x-1) could be zero, giving x=1 Tue, 01 Sep 2009 16:50:51 -0700 http://www.answerbag.com/a_view/7619989 http://www.answerbag.com/a_view/7619794 Can u tell me if this is right?1. (3+5)(2x^2 - 7x + 4) answer (3x +5)(2x^2 -7x +4)=(3x)(2x^2 -7x +4 ) +(5)(2x^2 -7x + 4 ) =(3x)(2x^2) -(3x)(7x)+(3x)(4)+(5)(2x^2)-(5)(7x)+(5)(… -21x^2 +12x +10^2 -35x +20 =6x^3-11x^2 -23x +20<br /><br />Yes the answer is right, I didn&#039;t check your working. (3+5) should be (3x+5) of course. Tue, 01 Sep 2009 16:23:25 -0700 http://www.answerbag.com/a_view/7619794 http://www.answerbag.com/a_view/7498941 I know there are theories on constant expansion into an infinite space etc. but where/when did it all start. How did the first hydrogen atom come to be in an infinite amount of space. I cant comprehend infinite time. any theories on it?<br /><br />I think you have misunderstood the expansion of the universe. It doesn&#039;t expand *into* space. There isn&#039;t this bit of universe which is expanding and then void outside. The whole thing expands. The classic analogy is flat beings living on the surface of an expanding baloon. All the... Wed, 19 Aug 2009 17:35:25 -0700 http://www.answerbag.com/a_view/7498941 http://www.answerbag.com/a_view/7498887 If you have 25% dextrose solution and 10% dextrose solution, how many ml of each do you need to make 1000 ml of 20% dextrose solution?<br /><br />Take A ml of 25% and B ml of 10%. A + B = C = 1000ml Amount of dextrose: 25% A + 10% B = 20% C Solve for A and B. Multiply second equation by 10: 250% A + 100% B = 200% C subtract first equation: 150% A = 100% C A = 2/3 C = 667ml B = C-A = 333ml Wed, 19 Aug 2009 17:22:43 -0700 http://www.answerbag.com/a_view/7498887 http://www.answerbag.com/a_view/7477066 Which months have 5 weeks<br /><br />None of them have a whole five weeks. All of them use at least part of five weeks, with the occasional exception of February. Mon, 17 Aug 2009 15:04:50 -0700 http://www.answerbag.com/a_view/7477066 http://www.answerbag.com/a_view/7477048 If the fundamental frequency of a guitar string is 220 Hz, what is the frequency of the second harmonic? Of the third harmonic?<br /><br />It&#039;s not rocket science: The root note is the 1st harmonic, the fundamental. If the 1st harmonic is 220 Hz the 2nd harmonic is 440 Hz the 3rd harmonic is 660 Hz The nth harmonic is 220 times n Hz Incidentally, 440Hz is concert &#039;A&#039; above middle C. 220Hz is an octave... Mon, 17 Aug 2009 15:02:23 -0700 http://www.answerbag.com/a_view/7477048 http://www.answerbag.com/a_view/7476966 What is the semi vertical angle of a cone?<br /><br />The angle between the axis and a line in the surface which passes through the apex. Mon, 17 Aug 2009 14:51:40 -0700 http://www.answerbag.com/a_view/7476966 http://www.answerbag.com/a_view/7476939 Since 2001 and 2009 how many leap years have we had?<br /><br />How can you not know that? 2004 and 2008 That&#039;s two. Mon, 17 Aug 2009 14:48:48 -0700 http://www.answerbag.com/a_view/7476939 http://www.answerbag.com/a_view/7467561 5. The bus from Osaka to Tokyo will take 2 hours and 35 minutes the if the bus will leave 35 min past 8 in the morning what time will you arrived in Tokyo? a. 10:55 b.11:10 c.11:35 d.12:22 e.12:45<br /><br />8:35 + 2h35 = 10:70 but 70 minutes is another hour plus 10 mins 10:70 = 11:10 Sun, 16 Aug 2009 16:31:56 -0700 http://www.answerbag.com/a_view/7467561 http://www.answerbag.com/a_view/7467539 How can I turn a liquid into a gaseous form without using heat energy? Please be quick!<br /><br />Reduce the pressure until it boils. Sun, 16 Aug 2009 16:28:20 -0700 http://www.answerbag.com/a_view/7467539 http://www.answerbag.com/a_view/7467522 What are the units on centimeters cubed divided by centimeters? Is it still cm^3 or is it now cm^2?<br /><br />If you divide a volume (cm^3) by a height (cm) you get the average cross-sectional area (cm^2) Sun, 16 Aug 2009 16:25:52 -0700 http://www.answerbag.com/a_view/7467522 http://www.answerbag.com/a_view/7467504 Answer this inequality: 3x > 2x +12 ???? any answers?<br /><br />Subtract 2x from both sides of the inequality. The idea is to get x by itself on one side. Sun, 16 Aug 2009 16:23:38 -0700 http://www.answerbag.com/a_view/7467504 http://www.answerbag.com/a_view/7466895 What is the most dangerous scientific research, to humanity, being conducted at present? (And these are just the ones of which we are aware!).<br /><br />I think biological disease research is the most dangerous. A single nasty organism could wipe out the human race. No other field can do that much damage. A nuclear explosion is only so big. Sun, 16 Aug 2009 15:07:17 -0700 http://www.answerbag.com/a_view/7466895 http://www.answerbag.com/a_view/7466873 Is science failing to communicate and, if so, why?<br /><br />Yes I think it is failing to communicate with the masses, and I think it&#039;s because the people who have the brains to do and understand science don&#039;t go into media studies. Which leaves us with clueless journalists who can&#039;t speak coherently on the subject. Sun, 16 Aug 2009 15:04:18 -0700 http://www.answerbag.com/a_view/7466873 http://www.answerbag.com/a_view/7466857 What is the balanced symbol equation for the 'metal + acid' reaction of aluminium + nitric acid?<br /><br />Nitric acid makes nitrates. put Aluminium Nitrate into the wikipedia search box. Look at molecular formula on the right. Result: Al (NO3)3 So try Al + H NO3 = Al (N03)3 + H2 nope, three NO3s on the right. Try three NO3s on the left: Al + 3 H NO3 = Al (NO3)3 + H2 All balances except the... Sun, 16 Aug 2009 15:01:52 -0700 http://www.answerbag.com/a_view/7466857 http://www.answerbag.com/a_view/7466816 The Vector C is Perpendicular to vectors A & B, and the Angle between A & B is 30º if the modules are: |A| = 6 |B| = 3 |C| = 3 calculate the Scalar triple product<br /><br />Triple product is (A cross B) dot C V = A cross B is |A||B| sin 30 in the direction at right angles to A and B which happens to be C. |V| = 9 V dot C = |V||C| cos angle and since V is in the direction of C this is |9||3| cos 0 Sun, 16 Aug 2009 14:55:22 -0700 http://www.answerbag.com/a_view/7466816 http://www.answerbag.com/a_view/7466791 Give one example of a motion where an object does not change its speed but its direction of motion changes continuously?<br /><br />The motion of Venus about the Sun. More or less. Sun, 16 Aug 2009 14:50:51 -0700 http://www.answerbag.com/a_view/7466791 http://www.answerbag.com/a_view/7466779 A body starting from rest travels with uniform acceleration.If it travels 100m in 5s,what is the value of the acceleration?<br /><br />This is the formula I was taught which does this for you: s = u t + (1/2) a t^2 u is initial speed (0m/s) s is distance (100m) t is time (5s) Plug in the numbers, solve for a (acceleration) Sun, 16 Aug 2009 14:49:55 -0700 http://www.answerbag.com/a_view/7466779 http://www.answerbag.com/a_view/7466720 What is the value of cos15 and sin15?<br /><br />cos 30 = sqrt(3)/2 cos 2x = 2 cos^2 x - 1 2 cos^2 15 - 1 = sqrt(3)/2 cos^2 15 = (2+sqrt(3))/4 cos 15 = sqrt(2+sqrt(3))/2 cos^2 x + sin^2 x = 1 sin^2 15 = (2-sqrt(3))/4 sin 15 = sqrt(2-sqrt(3))/2 Sun, 16 Aug 2009 14:41:38 -0700 http://www.answerbag.com/a_view/7466720 http://www.answerbag.com/a_view/7450393 Who do you think is the greatest physicist of all time?<br /><br />Galileo. Science didn&#039;t really exist before him. He discovered a LOT. We think of Newton having discovered gravity, but Galileo knew all there was to Earthly gravity long before Newton. He discovered the moons of Jupiter. He described exactly how pendulums work. He measured and explained... Fri, 14 Aug 2009 19:19:57 -0700 http://www.answerbag.com/a_view/7450393 http://www.answerbag.com/a_view/7450331 The force of gravity on Planet A is greater than the force of gravity on Planet B. On which planet will it be easier to push identical cars along a level surface? A. Planet A B. Planet B C. It will be the same on both planets. D. It depends on the weight<br /><br />If the forces are only mildly different, then it will be easier to push the car where the gravity is stronger on planet A. Your increased weight will give you more traction on the surface as you push. The inertia of the car is the same on both planets. If the gravity varies a lot, it might be... Fri, 14 Aug 2009 19:12:01 -0700 http://www.answerbag.com/a_view/7450331 http://www.answerbag.com/a_view/7450318 How can galaxies recede faster than the speed of light?<br /><br />Relativity doesn&#039;t mean you can&#039;t have speeds that are faster than light. For example, imagine a lighthouse with a laser sweeping round once a second. One mile from the light house the light beam appears to move round at six miles a second. 200,000 miles out and the beam appears to... Fri, 14 Aug 2009 19:08:45 -0700 http://www.answerbag.com/a_view/7450318 http://www.answerbag.com/a_view/7438880 Find the value of sin^-1{ sin 5pi/6 }<br /><br />sin(5pi/6) = sin(pi/6) To better see this, if your angle starts on the x-axis and goes counterclockwise and the length of the arms is one, then sin gives you the height above the x-axis. pi radians is 180 degrees. sin(pi/6) is the same height as sin(pi - (pi/6)) sin^-1 of that gives you... Thu, 13 Aug 2009 16:46:18 -0700 http://www.answerbag.com/a_view/7438880 http://www.answerbag.com/a_view/7438822 I have 6 random numbers between 1 and 49 which add up to 156, how do I work out how many other combinations of 6 numbers there are that add up to 156 by only using the numbers between 1 and 49?<br /><br />I first read your question thinking you meant that numbers could be used more than once and that the order mattered and I worked out the answer would be 153287120. But now I&#039;m thinking you mean &quot;lotto&quot; numbers - you can&#039;t pick the same number twice, and if you pick 4 and 5,... Thu, 13 Aug 2009 16:39:40 -0700 http://www.answerbag.com/a_view/7438822 http://www.answerbag.com/a_view/7436367 The TV tube manufacturer has observed that on an average out of every 10000 tubes produced,5 are found to be defective.If a sample of 20 bulbs is selected,wat is the probabilty that no are defective.Wat is the probability that atleast two are defective?<br /><br />Use the binomial distribution. p = (5/10000) q = 1-p n=10000 Probability of i defective = nCi p^i q^(n-i) nCi is the binomial coeffecient. 20C0 is 1 20C1 is 20 Use the formula to work out the probability that 0 area defective. Use the formula to work out the probability that... Thu, 13 Aug 2009 11:56:50 -0700 http://www.answerbag.com/a_view/7436367 http://www.answerbag.com/a_view/7436274 Find equations of the tangent lines to x^2+16y^2=52 that are parallel to the line 9x-8y=1<br /><br />To solve this: differentiate both equations wrt x. Write m for the differentiation of y wrt x. Solve for m, this is the slope of the lines. Solve for pairs of (X,Y) These are the points on the equation where the slope is right. The equations of the tangent lines are: (y-Y) = m (x-X) ... Thu, 13 Aug 2009 11:47:43 -0700 http://www.answerbag.com/a_view/7436274 http://www.answerbag.com/a_view/7436126 The expressions 8g+4g and 12g are what because they donate the same number<br /><br />They are &quot;equal&quot; and they are also &quot;equivalent&quot;. Thu, 13 Aug 2009 11:32:06 -0700 http://www.answerbag.com/a_view/7436126 http://www.answerbag.com/a_view/7416411 How do you write a function rule for a graph<br /><br />Perhaps you are looking for a rule like this: f(x) = x^2 Tue, 11 Aug 2009 16:00:19 -0700 http://www.answerbag.com/a_view/7416411 http://www.answerbag.com/a_view/7416397 What is a geometrical way to calculate the sum of all natural numbers from 1 to any given number?<br /><br />The area under a staircase. Each step is one unit high and one wide. The last step is n units high. If you make two of these and turn one upside down and put it on top of the first you get a rectangle of size n by n+1 The sum you want is half that rectangle. Tue, 11 Aug 2009 15:59:17 -0700 http://www.answerbag.com/a_view/7416397 http://www.answerbag.com/a_view/7416370 In the equation -8 times -c, how do i explain that -c is equal to -1c?<br /><br />-c is equal to -1 Perhaps you are trying to write: (-8)(-c) Not sure what you mean: -8 times -c isn&#039;t an equation, having no &#039;=&#039; in it. Tue, 11 Aug 2009 15:56:43 -0700 http://www.answerbag.com/a_view/7416370 http://www.answerbag.com/a_view/7405100 When you look in the bathroom mirror then step back do you see more of yourself less or the same. Just answer dont go look.<br /><br />Too late. As soon as they mentioned it on &#039;Bang goes the theory&#039; I had to try it. I still don&#039;t quite understand it. Mon, 10 Aug 2009 14:44:52 -0700 http://www.answerbag.com/a_view/7405100 http://www.answerbag.com/a_view/7393810 Where is River Tam?<br /><br />Hi Hungry Guy. Do you mean an actual river? (or the sci-fi character?!) There is a river &quot;Tam&quot; or &quot;Tan&quot; in Guangdong, China. I thought the river Tam ran under the highest bridge in the world, but apparently, that&#039;s the Tarn! There&#039;s also the river Tame,... Sun, 09 Aug 2009 13:23:40 -0700 http://www.answerbag.com/a_view/7393810 http://www.answerbag.com/a_view/7393613 If the Canadian dollar is worth 22% less than the U.S. dollar, then the US dollar is worth what percent more than the Canadian dollar?<br /><br />If the Canadian dollar is worth 22% less than the US dollar, it&#039;s only worth 78 cents. (100 cents - 22% of 100 cents) The US dollar is worth 22 cents more than that. So the question asks what percentage is 22 US cents of the Canadian dollar. What percentage is 22 US cents of 78 US... Sun, 09 Aug 2009 12:58:29 -0700 http://www.answerbag.com/a_view/7393613 http://www.answerbag.com/a_view/7393582 A box contains 10 green, 2 red, 7 yellow, and 6 blue marbles. Four marbles are drawn from the box without replacement. a) What is the probability that all four marbles are the same color? b) What is the probability that n<br /><br />For (a) it is easier to calculate &quot;what is the probability I will get four green marbles&quot; then repeat the math for each color and add them up (you can add them because the events are mutually exclusive) To calculate the probability of four green, well its the probability of the... Sun, 09 Aug 2009 12:52:32 -0700 http://www.answerbag.com/a_view/7393582 http://www.answerbag.com/a_view/7393540 Find the euation of the tangent line to the curve: y=6x^(2/3) -3/x<br /><br />It could be done with limits. if (x1,y1) and (x2,y2) are points on the curve, then the line through these points is y = ((y2-y1)/(x2-x1))(x-x1) + y1 The slope is (y2-y1)/(x2-x1) and is the only bit which uses y2 and x2. Let x2=x1+delta : make the second point very close to the first... Sun, 09 Aug 2009 12:45:16 -0700 http://www.answerbag.com/a_view/7393540 http://www.answerbag.com/a_view/7393443 If there are two series say a=6+11+16+.................. and b=12+21+30+39+48+57+.................... How we can find the number of common terms between the two series and the common terms itself. Kindly explain with steps.<br /><br />It helps if you can find a formula for both series. a[i] = 6 + (i-1) * 5 fits the first series. b[j] = 12 + (j-1) * 9 fits the second series. Now we need to find numbers which fit both series. 6 + (i-1)* 5 = 12 + (j-1)* 9 for some i and j subtract six: (i-1) * 5 = 6 + (j-1)* 9 The... Sun, 09 Aug 2009 12:32:34 -0700 http://www.answerbag.com/a_view/7393443 http://www.answerbag.com/a_view/7393379 The average age of 8 men is increased by 2 years. When two of them whose ages are 20 and 24 years, are replaced by two new men. The average age of two new men is?<br /><br />The easy way to do it is to assume that the other six men have only just been born and are age 0, and the replacement men have the same age as each other. It could happen! So before, the ages are 0,0,0,0,0,0,20,24 and the average is 44/8 = 5.5 years Afterwards the ages are 0,0,0,0,0,0,X,X,... Sun, 09 Aug 2009 12:22:25 -0700 http://www.answerbag.com/a_view/7393379 http://www.answerbag.com/a_view/7393304 Large Hadron Collider. Support or Oppose? (no fighting plz)<br /><br />Of course support. The LHC is one of the most dramatic experiments mankind has ever done. Those who oppose do so based on two counts: 1) superstition. They say the LHC will destroy the Earth. But the truth is that if you looked at all the things mankind does, the LHC wouldn&#039;t be... Sun, 09 Aug 2009 12:10:27 -0700 http://www.answerbag.com/a_view/7393304 http://www.answerbag.com/a_view/7393172 What concert hall is famous for its acoustics?<br /><br />The Albert Hall in London, UK Symphony Hall in Birmingham, UK Sun, 09 Aug 2009 11:51:02 -0700 http://www.answerbag.com/a_view/7393172 http://www.answerbag.com/a_view/7393163 I think analysis is way more interesting than algebra. Do you agree?<br /><br />I agree - I found analysis more interesting than algebra, but that&#039;s cause I was better at it. Algebra had stuff I never understood properly like Wedge products of vector spaces and Sylow group theory. I think a lot of people have trouble with limits, and never get the epsilon/delta idea,... Sun, 09 Aug 2009 11:48:40 -0700 http://www.answerbag.com/a_view/7393163 http://www.answerbag.com/a_view/7393126 An enclosed transformer has four wire leads coming from it. How could you determine the ratio of turns on the two coils without taking the transformer apart? How would you know which wires paired with which?<br /><br />Pick any two wires and measure the DC resistance between them. The two coils are electrically isolated, so if there is high resistance, you&#039;ve picked wires on the different coils. Try again until you get a low DC resistance. Those wires (A and B) are connected to the same coil. The other... Sun, 09 Aug 2009 11:42:55 -0700 http://www.answerbag.com/a_view/7393126 http://www.answerbag.com/a_view/7384311 Numbers less than 500 that if you exchange the ones and hundreds place the new number is 396 more than the original number and if you exchange the ones and tents place the new number is 27 more<br /><br />396 is 400-4 so exchanging hundreds and tens increased the hundreds place by 4 and decreased the units place by four. Possibilities are 1x5, 2x6, 3x7, 4x8 and 5x9, 27 is 30-3 exchanging tens and units increased the tens by three and decreased the units by three. Possibilities are x03, x14,... Sat, 08 Aug 2009 11:38:29 -0700 http://www.answerbag.com/a_view/7384311 http://www.answerbag.com/a_view/7374496 What is the correct name for this symbol (see answer) when it is used in a line graph to show that you have gone farther than what would have been allowed by your scheme, ie 0, 5, 10, 15, 20, 25, 30, 125.<br /><br />It can be called a &quot;scale break&quot; symbol or a &quot;broken axis&quot; symbol Fri, 07 Aug 2009 12:03:37 -0700 http://www.answerbag.com/a_view/7374496 http://www.answerbag.com/a_view/7363814 If 300 people buy a lottery ticket once a week, choosing 4 numbers from 1-24, how long could it run before someone wins?<br /><br />Supposing the people pick their numbers at random then the chance that any particular person wins in any particular week is (1*2*3*4)/(24*23*22*21) = 1/10626 (it&#039;s totally untrue that people pick their numbers perfectly randomly but I&#039;ll have to go with that cause I don&#039;t... Thu, 06 Aug 2009 12:40:41 -0700 http://www.answerbag.com/a_view/7363814 http://www.answerbag.com/a_view/7363672 With my TI voyage 200, the derivative for sin(x)^2 is returned as 2sin(x)cos(x) in radian mode but Pi*sin(x)cos(x)/90 in degree mode for the angle. Is this a bug in the cas? How can the derivative depend be differ<br /><br />That&#039;s interesting. You calculator sees the sin and cos functions as different depending on the mode. Let sin(x) be the &quot;real&quot; standard trigonometrical function acting on radians. In radian mode your calculator&#039;s SIN(x) = sin(x) In degree mode the... Thu, 06 Aug 2009 12:27:15 -0700 http://www.answerbag.com/a_view/7363672 http://www.answerbag.com/a_view/7353315 Why is photosynthesis essential for the survival of man?<br /><br />What your teacher is thinking is that without photosynthesis, there are no plants, and since every animal eats plants or animals that eat plants, they would all die out leaving nothing for man to eat. But teacher has failed to take into account that man can manufacture the essential... Wed, 05 Aug 2009 15:11:58 -0700 http://www.answerbag.com/a_view/7353315 http://www.answerbag.com/a_view/7353121 Simplify –j + 5(k + j). Justify each step.<br /><br />if j is apple and k is orange. subtract one apple from five lots of (apple + orange) That&#039;s four apples and five oranges = 4j+5k Justify each step! Why?! Here&#039;s the long version: -j + 5(k+j) 5(k+j) + (-j) [addition commutes] (5k+5j) + (-j) [multiplication distributes over... Wed, 05 Aug 2009 14:55:30 -0700 http://www.answerbag.com/a_view/7353121 http://www.answerbag.com/a_view/7353045 How many numbers from 1 to 200 have an expanded form that is identical to the standard form? what are they?<br /><br />expanded form: 1 x 100 + 2 x 10 + 3 standard form: 123 The only time those two forms are going to be the same is if there aren&#039;t any &#039;x10&#039; or &#039;x100&#039;. The largest number for which this is true is 9. Wed, 05 Aug 2009 14:48:03 -0700 http://www.answerbag.com/a_view/7353045 http://www.answerbag.com/a_view/7352979 Can someone explain to me what first order and second order logic are ? and how they're different?<br /><br />There is a hierarchy of systems of logic which become progressively more powerful, and able to prove more statements. You start with propositional calculus, also known as sentential logic. This can make statements like If &quot;It is raining&quot; and &quot;it is snowing&quot; then &quot;it... Wed, 05 Aug 2009 14:42:10 -0700 http://www.answerbag.com/a_view/7352979 http://www.answerbag.com/a_view/7341894 According to set theory is Φ = {Φ}<br /><br />The set on the left is the empty set. It has no items in it. It can also be written {} The set on the right is not empty. It has exactly one item in it. That item is an empty set. The set containing an empty set as an item could also be written {{}} Since the sets on each side of the... Tue, 04 Aug 2009 15:42:13 -0700 http://www.answerbag.com/a_view/7341894 http://www.answerbag.com/a_view/7341129 Find the arc length of y = x^4 from the origin to (1, 1). Answer in length units, correct to two decimal places, please. a. 1.44 b. 1.48 c. 1.52 d. 1.55 e. 1.60 f. none of these<br /><br />Suppose I approximate the curve with two straight lines. One straight line from (0,0) to (1/2,1/16) and the other from (1/2,1/16) to (1,1) The length of the first line is sqrt(65)/16 = 0.5039 The length of the second line is 17/16 = 1.0625 Total length of lines = 1.5664 This is an... Tue, 04 Aug 2009 14:20:44 -0700 http://www.answerbag.com/a_view/7341129