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Alan3354 answered: 30973 problems
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Probability-and-statistics/603135: what is the measure of a central angle that represents 25% of the circle? 1 solutions Answer 380582 by Alan3354(30993)   on 2012-04-24 19:54:56 (Show Source): You can put this solution on YOUR website! 90 degrees, or pi/2 radians.

Polynomials-and-rational-expressions/603140: what is 5x squared minus 5 1 solutions Answer 380580 by Alan3354(30993)   on 2012-04-24 19:54:08 (Show Source): You can put this solution on YOUR website! what is 5x squared minus 5 -------- It's a binomial, since it has 2 terms.

logarithm/603138: Solve for x: log(7x-2)-log(x-2)=1 Thanks! 1 solutions Answer 380579 by Alan3354(30993)   on 2012-04-24 19:46:11 (Show Source): You can put this solution on YOUR website! Solve for x: log(7x-2)-log(x-2)=1 Subtracting logs --> division log((7x-2)/(x-2))=1 (7x-2)/(x-2) = 10

logarithm/603116: Please help!! :) Change the following base 7 logarithm to a base 4 logarithm. log7( 5x-6) thanks! 1 solutions Answer 380578 by Alan3354(30993)   on 2012-04-24 19:43:56 (Show Source): You can put this solution on YOUR website!

Linear-equations/603085: please show me the working out of this linear equation y=2x+5 y=40-2x 1 solutions Answer 380568 by Alan3354(30993)   on 2012-04-24 18:49:53 (Show Source): You can put this solution on YOUR website! please show me the working out of this linear equation y=2x+5 y=40-2x --------- Since they both equal y: 2x+5 = 40-2x 4x = 35 etc

Travel_Word_Problems/603061: Juan rode his bicycle 2 1/2 miles in 1/2 hour. how many miles per hour did he ride on average? 1 solutions Answer 380567 by Alan3354(30993)   on 2012-04-24 18:46:41 (Show Source): You can put this solution on YOUR website! Juan rode his bicycle 2 1/2 miles in 1/2 hour. how many miles per hour did he ride on average? ---- d = r*t What do you mean by "on average?"

Travel_Word_Problems/603093: Hi Dear Tutor I need your help to explain to me how we put this word problem into a equation. I tried here but i dont think i m getting the right answer, plus my book does not have a similiar example. You dont have to give me the answer but if you could show me how to make the equation with this information. Thank You very much, Monick 1)A plane traveled 630 miles to Tokyo and back. The trip there was with the wind.It took 7 hours. The trip back was into the wind. The trip back took 21 hours. What is the speed of a plane in still air? what is the speed of the wind? 1 solutions Answer 380566 by Alan3354(30993)   on 2012-04-24 18:45:08 (Show Source): You can put this solution on YOUR website! 1)A plane traveled 630 miles to Tokyo and back. The trip there was with the wind.It took 7 hours. The trip back was into the wind. The trip back took 21 hours. What is the speed of a plane in still air? what is the speed of the wind? ------------- Find the 2 groundspeeds. with the wind, 630/7 = 90 mi/hr (some plane) against the wind, 630/21 = 30 mi/hr The plane's airspeed is the average: (90 + 30)/2 = 60 mi/hr ----- The windspeed is the difference: 90 - 60 = 30 mi/hr Shoulda taken a bus.

Trigonometry-basics/602906: Hi, I need help with my homework. We are learning about the sum and difference of identities. Here is the problem: What is the value of sin(A-b) if tan A = 9/40 and A is in the first quadrant, while cos B = -4/5 and B is in the third quadrant? I really don't get this homework. What is up with A and B? Do we need to plot the graph as well? It's confusing me. I'm sorry if I'm asking stupid questions, I missed our class today, you see. I hope someone can explain this to me properly so I'll catch up with the lesson. Thank you! 1 solutions Answer 380491 by Alan3354(30993)   on 2012-04-24 12:31:05 (Show Source): You can put this solution on YOUR website! Here is the problem: What is the value of sin(A-b) if tan A = 9/40 and A is in the first quadrant, while cos B = -4/5 and B is in the third quadrant? I really don't get this homework. What is up with A and B? Do we need to plot the graph as well? =========================== Here's the one I just did with the same angles. ------------ If tan A = 9/40, A is in the first quadrant, cos B = -4/5, B is in the third quadrant, find the value of cos(A+B) -------------- Find the cos(A) Tan = y/x Plot the point (40,9) --> hyp = sqrt(40^2 + 9^2) = 41 cos(A) = x/hyp = 9/41 ------------- cos(A + B) = cosA*cosB - sinA*sinB (from Wikipedia) Find sin(A) and sin(B) ------- sin(A) = y/hyp = 40/41 sin(B) = -3/5 in Q3 (it's the 3, 4, 5 triangle) -------------- cos(A + B) = cosA*cosB - sinA*sinB = (9/41)*(-4/5) - (40/41)*(-3/5) = -36/205 + 120/205 = 84/205 ============================= Use some of the values found in the previous problem: sin(A-b) = sin(A)cos(B) - cos(A)sin(B) = (40/41)*(-4/5) - (9/41)*(-3/5) = -200/205 + 27/205 = -173/205 ------------ What is up with A and B? Angles A & B are measured from the x-axis counter-clockwise. All angles on the x-y plane are measured that way. ------ Do we need to plot the graph as well? You don't have to if you don't want to. Not much to graph, just a point for each angle. For A draw a line from the Origin to (40,9) For B it's to (-3,4)

Exponential-and-logarithmic-functions/602881: What is x^2+10x-12000 factored? 1 solutions Answer 380484 by Alan3354(30993)   on 2012-04-24 12:01:35 (Show Source): You can put this solution on YOUR website! What is x^2+10x-12000 factored? ---------- That can't be factored.

Trigonometry-basics/602898: If tan A = 9/40, A is in the first quadrant, cos B = -4/5, B is in the third quadrant, find the value of cos(A+B) Please help me solve this problem. It's from the homework given to us today, which I have no chance of understanding since I missed class per the doctor's orders, and my friend's notes aren't really that readable... If you can, please show me the steps as well. It would really help me understand this lesson. Thank you! 1 solutions Answer 380483 by Alan3354(30993)   on 2012-04-24 11:57:24 (Show Source): You can put this solution on YOUR website! If tan A = 9/40, A is in the first quadrant, cos B = -4/5, B is in the third quadrant, find the value of cos(A+B) -------------- Find the cos(A) Tan = y/x Plot the point (40,9) --> hyp = sqrt(40^2 + 9^2) = 41 cos(A) = x/hyp = 9/41 ------------- cos(A + B) = cosA*cosB - sinA*sinB (from Wikipedia) Find sin(A) and sin(B) ------- sin(A) = y/hyp = 40/41 sin(B) = -3/5 in Q3 (it's the 3, 4, 5 triangle) -------------- cos(A + B) = cosA*cosB - sinA*sinB = (9/41)*(-4/5) - (40/41)*(-3/5) = -36/205 + 120/205 = 84/205

Polynomials-and-rational-expressions/602899: factor 9x^2 +73x +8 1 solutions Answer 380482 by Alan3354(30993)   on 2012-04-24 11:48:42 (Show Source): You can put this solution on YOUR website! factor 9x^2 +73x +8 -------------- Hint: There are no minus signs 73 = 8*9 + 1

Geometry_Word_Problems/602815: Find the are of the shaded region. The radius of circle O is 16 cm 1 solutions Answer 380480 by Alan3354(30993)   on 2012-04-24 11:36:19 (Show Source): You can put this solution on YOUR website! Find the are of the shaded region. The radius of circle O is 16 cm ------------ No shaded area is shown.

decimal-numbers/602894: WHAT IS 849.47 ROUNDED TO NEAREST HUNDRED ? 1 solutions Answer 380479 by Alan3354(30993)   on 2012-04-24 11:34:12 (Show Source): You can put this solution on YOUR website! WHAT IS 849.47 ROUNDED TO NEAREST HUNDRED ? ---------- The nearest 100 is either 800 or 900. 49.47 < 50 --> 800

Geometry_Word_Problems/602854: For the given angle find the measure of the exterior angle BCD A is (80-10x) B is (56-7x) and CD is (126-22x) I know the correct answer is 170 but I do not know how they arrived at that. I tried 80-10x + (56-7x) = 126-22x and my answer was -2 Please help. 1 solutions Answer 380478 by Alan3354(30993)   on 2012-04-24 11:33:01 (Show Source): You can put this solution on YOUR website! Not enough info. Where are these points, A, B, C & D ?

logarithm/602883: how we will calculate the value of log 5000..??? 1 solutions Answer 380477 by Alan3354(30993)   on 2012-04-24 11:29:51 (Show Source): You can put this solution on YOUR website! how we will calculate the value of log 5000 ------------ You can use a series. Most people use a calculator, tho. log(5000) =~ 3.69897

Matrices-and-determiminant/602866: solve the system of equations using a matrix. separate the x and the y values with a comma. 2x+y=-22, -3x+8y=-24 1 solutions Answer 380475 by Alan3354(30993)   on 2012-04-24 11:26:39 (Show Source): You can put this solution on YOUR website! 2x+y=-22 -3x+8y=-24 ------------ |+2 +1 22| |-3 +8 24| ---------- Det = 2*8 - (-3)*1 Det = 19 -------- x*Det = 1*24 - 8*22 = -152 x = -8 ----------- -y*Det = 2*24 + 66 = 114 y = -6

Geometry_Word_Problems/602884: An aquarium measures 24 inches by 12 inches by 18 inches. It is filled with water to 2/3 of it's capacity (vloume). What is the volume of the water in the aquarium? 1 solutions Answer 380471 by Alan3354(30993)   on 2012-04-24 11:19:27 (Show Source): You can put this solution on YOUR website! duplicate

Equations/602869: kindly give me the solution for following equation of factorization. X^2+8x-2=0 1 solutions Answer 380469 by Alan3354(30993)   on 2012-04-24 11:07:58 (Show Source): You can put this solution on YOUR website! kindly give me the solution for following equation of factorization. X^2+8x-2=0 -------------- I'm not familiar with "equation of factorization." Where did you hear about that? ---------------- Do you want to solve for x? Or factor it?

Polynomials-and-rational-expressions/602865: What is the answer when you completely factor the trinomail 2s^2+3s+1 1 solutions Answer 380459 by Alan3354(30993)   on 2012-04-24 10:36:15 (Show Source): You can put this solution on YOUR website! What is the answer when you completely factor the trinomail 2s^2+3s+1 ---------------- Hint: It will be (s + ??)*(2s + ??) All the numbers are positive.

Geometry_Word_Problems/602860: An aquarium measure 24 inches by 12 inches by 18 inches. It is filled with water to 2/3 of it's capacity (volume). What is the volume of water in the aquarium? 1 solutions Answer 380456 by Alan3354(30993)   on 2012-04-24 10:25:18 (Show Source): You can put this solution on YOUR website! An aquarium measure 24 inches by 12 inches by 18 inches. It is filled with water to 2/3 of it's capacity (volume). What is the volume of water in the aquarium? ------------- The volume is the product of the 3 dimensions in cubic inches. ------ The water in it is 2/3 of that. ---- it's = it is

Equations/602804: x2 + y2 = 4 x2 + y = 40 Please can you work out this simultaneous equation . thanks 1 solutions Answer 380450 by Alan3354(30993)   on 2012-04-24 09:47:23 (Show Source): You can put this solution on YOUR website! duplicate

test/602792: Solve equation -6 ( -4) 1 solutions Answer 380449 by Alan3354(30993)   on 2012-04-24 09:46:31 (Show Source): You can put this solution on YOUR website! Solve equation -6 ( -4) ------------ What equation? Solve for what?

test/602851: 3x(x-3)=2x(x+2)+6, so far I've got 3x^2-9x-2x^2-4x-6=0, then x^2-13x-6=0 but after this I'm lost? 1 solutions Answer 380448 by Alan3354(30993)   on 2012-04-24 09:44:51 (Show Source): You can put this solution on YOUR website! 3x(x-3)=2x(x+2)+6, so far I've got 3x^2-9x-2x^2-4x-6=0, then x^2-13x-6=0 but after this I'm lost? ---------------- 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=193 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 13.4462219947249, -0.446221994724902. Here's your graph: ================ You can do it by completing the square, also.

Equations/602806: x2 + y2 = 4 x2 + y = 40 The numbers after the 'x' and 'y' are supposed to be integers.Please can you work out this simultaneous equation . thanks 1 solutions Answer 380443 by Alan3354(30993)   on 2012-04-24 09:27:40 (Show Source): You can put this solution on YOUR website! x2 + y2 = 4 x2 + y = 40 ------------ Subtract y^2 - y = -36 ------------ ------------- If you graph these, you'll see a circle and a parabola, and no intersections. --> no real solutions. Further manipulation is possible, but I'm not gonna do a lot of work and then have you say you made a typo.

logarithm/602838: rewrite the given logarithms in terms of logarithms of x,y,z problem is: ln sqrt(xy^5) 1 solutions Answer 380431 by Alan3354(30993)   on 2012-04-24 08:47:37 (Show Source): You can put this solution on YOUR website! problem is: ln sqrt(xy^5) = 0.5*ln(x) + 2.5*ln(y)

Trigonometry-basics/602708: I need help verifying this trigonometric identity: cscTHETA * tanTHETA + cot^2THETA= csc^2THETA I've worked out the problem, but I'm getting stuck after the following: 1/sinTHETA * sinTHETA/cosTHETA + cot^2THETA = csc^2THETA 1/cosTHETA + cot^2THETA = csc^2THETA and this is as far as I've gotten. 1 solutions Answer 380384 by Alan3354(30993)   on 2012-04-23 21:30:35 (Show Source): You can put this solution on YOUR website! cscTHETA * tanTHETA + cot^2THETA= csc^2THETA -------- csc*tan + cot^2 = csc^2 (1/sin)*(sin/cos) + cos^2/sin^2 = 1/sin^2 1/cos + cos^2/sin^2 = 1/sin^2 sin^2/cos + cos^2 = 1 Not an identity

Geometry_Word_Problems/602683: Rectangular box has its length and its width halved. what is the effect on the volume 1 solutions Answer 380377 by Alan3354(30993)   on 2012-04-23 21:04:30 (Show Source): You can put this solution on YOUR website! Rectangular box has its length and its width halved. what is the effect on the volume ---------- The volume will be 1/4.

Mixture_Word_Problems/602671: An oil change requires 5 quarts of oil and an oil filter, and takes three quarters of an hour to complete. What is the cost of the parts of an oil change? 1 solutions Answer 380374 by Alan3354(30993)   on 2012-04-23 20:51:22 (Show Source): You can put this solution on YOUR website! An oil change requires 5 quarts of oil and an oil filter, and takes three quarters of an hour to complete. What is the cost of the parts of an oil change? ----------- Probably $20 - $30 It varies

Equations/602650: The difference of five times a number and seven times the same number is 16.Solve for the unknown number 1 solutions Answer 380373 by Alan3354(30993)   on 2012-04-23 20:48:55 (Show Source): You can put this solution on YOUR website! The difference of five times a number and seven times the same number is 16.Solve for the unknown number --------- 7n - 5n = 16 n = 8 --------- Or 5n - 7n = 16 n = -8 ============= "The difference" doesn't specify the order. |7n - 5n| = 16 is better. |...| is absolute value.

Complex_Numbers/602680: 1/10-3/10i 1 solutions Answer 380370 by Alan3354(30993)   on 2012-04-23 20:45:29 (Show Source): You can put this solution on YOUR website! 1/10-3/10i = 1/10-3i/10i^2 = 1/10-3i/10*(-1) = 1/10-3i/(-10) = 1/10+3i/10 or = (1/10)*(1 + 3i)

Finance/602672: In the following problem 12t + t what does t represent 1 solutions Answer 380369 by Alan3354(30993)   on 2012-04-23 20:43:06 (Show Source): You can put this solution on YOUR website! In the following problem 12t + t what does t represent -------- That's not a problem, it's a binomial. A problem would be something you wanted to do to it. You can add the terms, = 13t t can represent anything