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# Recent problems solved by 'Alan3354'

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 percentage/603620: hi I am trying to find the 3 point decimal of ^242 can someone help me I am at a lost I need to learn how to brake a sqrt into a 3 point decimal?1 solutions Answer 380775 by Alan3354(30993)   on 2012-04-25 21:48:09 (Show Source): You can put this solution on YOUR website!3 point decimal of ^242 ---------- ^ is used for exponents, not square root. to 3 places. I used a calculator. ------------- That's the square root of 242 to 3 decimal places, not the "3 point decimal"
 Complex_Numbers/603669: Simplify 3ix4i1 solutions Answer 380773 by Alan3354(30993)   on 2012-04-25 21:41:26 (Show Source): You can put this solution on YOUR website!3i*4i = 12i^2 = 12*(-1) = -12
 Exponential-and-logarithmic-functions/603655: ab^9=15 42=ab^61 solutions Answer 380772 by Alan3354(30993)   on 2012-04-25 21:40:22 (Show Source): You can put this solution on YOUR website!ab^9=15 ab^6=42 -------- ab^9/ab^6 = 15/42 b^3 = 5/14 ------------ ab^6 = 42 a = 42/b^6 = 42/(5/14)^2 = 42/(25/196) a = 42*196/25
 Bodies-in-space/603649: Find the surface areas of a sphere with a diameter of 12in1 solutions Answer 380770 by Alan3354(30993)   on 2012-04-25 21:36:43 (Show Source): You can put this solution on YOUR website!Find the surface areas of a sphere with a diameter of 12in ----- r = 6
 Polygons/603667: How many degrees are in a 20 sided figure?? would u take 180x180 20 times or what do I do?? I need some help on my math.' Thank you :) From Rosie Jenkins. 1 solutions Answer 380768 by Alan3354(30993)   on 2012-04-25 21:35:45 (Show Source): You can put this solution on YOUR website!How many degrees are in a 20 sided figure?? -------- The sum of interior angles is 180*(n-2) = 180*18 = 3240 degs
Square-cubic-other-roots/603653: How does n=4 in the problem: sqrt(n)+6=sqrt(16n)? Please show me

1 solutions

Answer 380766 by Alan3354(30993)   on 2012-04-25 21:32:49 (Show Source):
You can put this solution on YOUR website!
How does n=4 in the problem: sqrt(n)+6=sqrt(16n)?
--------

8 = 8
================
sqrt(n)+6=sqrt(16n)
Square both sides
n + 12sqrt(n) + 36 = 16n
12sqrt(n) = 15n - 36
Square again
144n = 225n^2 - 1080n + 1296
25n^2 - 136n + 144 = 0
 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=4096 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 4, 1.44. Here's your graph:

 Rational-functions/603632: i need help to try to simplify a rational with 6a+9 in the numerator and 12 in the denominator1 solutions Answer 380759 by Alan3354(30993)   on 2012-04-25 20:33:52 (Show Source): You can put this solution on YOUR website!i need help to try to simplify a rational with 6a+9 in the numerator and 12 in the denominator --------- All have a factor of 3
 Rational-functions/603576: The volume V of a cylinder varies jointly with the height h and the radius squared r^2, and V = 157.00 cm^3 when h=2 cm and r^2 = 25cm^2. Find V when h = 3 cm and r^2 = 36 cm^2. Round your answer to the nearest hundredth. I've tried this problem many times to no avail.1 solutions Answer 380758 by Alan3354(30993)   on 2012-04-25 20:31:38 (Show Source): You can put this solution on YOUR website!The volume V of a cylinder varies jointly with the height h and the radius squared r^2, and V = 157.00 cm^3 when h=2 cm and r^2 = 25cm^2. Find V when h = 3 cm and r^2 = 36 cm^2. Round your answer to the nearest hundredth. -------- V = 157*(3/2)*(36/25) V = 339.12 cc
 Equations/603622: how do Iwork this problem? (0.95 - 0.68) x 61 solutions Answer 380756 by Alan3354(30993)   on 2012-04-25 20:26:32 (Show Source): You can put this solution on YOUR website!how do Iwork this problem? (0.95 - 0.68) x 6 --------- Subtract, then multiply.
 Quadratic-relations-and-conic-sections/603630: x^2+y^2-8x+8y-4=01 solutions Answer 380755 by Alan3354(30993)   on 2012-04-25 20:25:32 (Show Source): You can put this solution on YOUR website!x^2+y^2-8x+8y-4=0 --------- Do you have a question?
 Geometry_Word_Problems/603607: one acute angle of a right triangle measures 28 the hypotenuse has a measurement of 16 m. solve the right triangle 1 solutions Answer 380754 by Alan3354(30993)   on 2012-04-25 20:00:50 (Show Source): You can put this solution on YOUR website!one acute angle of a right triangle measures 28 the hypotenuse has a measurement of 16 m. solve the right triangle ---------- The side opposite the 28 deg angle is 16*sin(28) meters. The side adjacent to the 28 deg angle is 16*cos(28) meters. ----- The 3rd angle is 90 - 28 degs.
 Equations/603588: I need help solving equations please !?!?!?!!??? 1 solutions Answer 380752 by Alan3354(30993)   on 2012-04-25 19:40:52 (Show Source): You can put this solution on YOUR website!I need help solving equations ------ Isolate the variable on one side of the equal sign.
 Linear-systems/603551: Determine the best method to solve each system of equations. Then solve the system. y=2x x+2y=81 solutions Answer 380740 by Alan3354(30993)   on 2012-04-25 18:47:47 (Show Source): You can put this solution on YOUR website!Determine the best method to solve each system of equations. Then solve the system. y=2x x+2y=8 --------- Sub for y in the 2nd equation.
 test/603536: Multiply (w-3)(w+5)1 solutions Answer 380738 by Alan3354(30993)   on 2012-04-25 18:36:41 (Show Source): You can put this solution on YOUR website!Multiply (w-3)(w+5) ------------ You try it. I'll check you work. I don't need the practice.
 Linear-equations/603494: The points(2,8) and (a,29) are on a line of solope 14. find the value of a1 solutions Answer 380719 by Alan3354(30993)   on 2012-04-25 16:47:53 (Show Source): You can put this solution on YOUR website!The points(2,8) and (a,29) are on a line of solope 14. find the value of a -------------- slope m = diffy/diffx 14 = (29-8)/(a-2) 14a - 28 = 21 a = 49/14 = 3.5
 Expressions-with-variables/603453: 2x+3y=29 x=41 solutions Answer 380715 by Alan3354(30993)   on 2012-04-25 16:09:00 (Show Source): You can put this solution on YOUR website!2x+3y=29 x=4 ---------- y = 7
 decimal-numbers/603465: WHAT IS 0.549 ROUNDED TO NEAREST TENTH ?1 solutions Answer 380714 by Alan3354(30993)   on 2012-04-25 16:07:53 (Show Source): You can put this solution on YOUR website!I've done several of these. You answer, I'll check your answer (via the Thank You note.)
 decimal-numbers/603466: WHAT IS 174.57 ROUNDED TO NEAREST HUNDRED ? 1 solutions Answer 380713 by Alan3354(30993)   on 2012-04-25 16:06:55 (Show Source): You can put this solution on YOUR website!WHAT IS 174.57 ROUNDED TO NEAREST HUNDRED ? ------------- I've done several of these. You answer, I'll check your answer (via the Thank You note.)
 logarithm/603442: Hi I've been working on logarithms and have such a hard time when it comes to solving square root ones, and advice on this on in exponential form it's 3square root of 64=4 would it be log 4 64=3? 1 solutions Answer 380698 by Alan3354(30993)   on 2012-04-25 15:31:49 (Show Source): You can put this solution on YOUR website!3square root of 64=4 would it be log 4 64=3? ----------- I think you mean cube root, not 3square root. --> The log is the exponent.
 Miscellaneous_Word_Problems/603448: A student's PID (personal identification number) is a sequence of six digits. How many different PID numbers are possible?1 solutions Answer 380696 by Alan3354(30993)   on 2012-04-25 15:28:19 (Show Source): You can put this solution on YOUR website!A student's PID (personal identification number) is a sequence of six digits. How many different PID numbers are possible? ----------- 10^6 = 1000000
 Linear-equations/603447: what is the y-intercept of 4 and a slope of one third1 solutions Answer 380695 by Alan3354(30993)   on 2012-04-25 15:27:17 (Show Source): You can put this solution on YOUR website!what is the y-intercept of 4 and a slope of one third ----------- y-int of 4 crosses the y-axis at (0,4) slope m = 1/3 is an increase of 3 x units to 1 y unit.
 Travel_Word_Problems/603302: The answer to a question is 55km/h. Write a question =1 solutions Answer 380653 by Alan3354(30993)   on 2012-04-25 10:42:05 (Show Source): You can put this solution on YOUR website!The answer to a question is 55km/h. Write a question ------------ You travel 385 km in 7 hours. What's the avg speed? ------- Or, what's the speed record for a mallard duck age 11 months in level flight? ---------- You drive to the store at 165 km/hr, then drive back at 33 km/hr. What's the avg speed for the round trip?
 Quadratic_Equations/603297: If I add the square of a number to the number itself, I get 30. What could the number be? I need the equation!1 solutions Answer 380648 by Alan3354(30993)   on 2012-04-25 09:57:14 (Show Source): You can put this solution on YOUR website!If I add the square of a number to the number itself, I get 30. What could the number be? I need the equation! -------------- x = 5 x = -6
 Linear-equations/603146: -4y=x-18 I need to make three points so i can graph them. I'm kinda slow with math. I don't know what i can put in for y or x to make a point for a graph.1 solutions Answer 380599 by Alan3354(30993)   on 2012-04-24 20:40:01 (Show Source): You can put this solution on YOUR website!-4y=x-18 I need to make three points so i can graph them. ------- It's a straight line, so you need 2 points. -4y=x-18 solve for x, since it won't involve any fractions. x = 18 - 4y Pick 2 values for y and find x eg, y = 0 --> x = 18 --> point (18,0) y = 2, x = 10 --> point (10,2) Plot the points, draw a line thru them -------------- Do a 3rd if you like. Or 4, or 10, doesn't matter.
 test/603153: 3-31 solutions Answer 380591 by Alan3354(30993)   on 2012-04-24 20:18:08 (Show Source): You can put this solution on YOUR website!funny
 Equations/603109: Exercise: y+12=3 4+6+y b-1/5=3/8 9=9-5 -6=d+3 10=7+d 96=16q -50=25c 3/5c=-6 10y=-20 6(2d-5)=5(3d+2)+d 10(3a-4)=5(4c-3)-5a 2t--1+5t=4t=5-t 5p-9=2p+6 (-2p2q)(3pq)(-6pq3) 25n-50/5 5x+6>3 -3x>9 6x<12 2x,4x+10 6x>2x-61 solutions Answer 380589 by Alan3354(30993)   on 2012-04-24 20:08:05 (Show Source): You can put this solution on YOUR website!Is that all 1 problem? It's complex.
 Trigonometry-basics/603103: Solve over [0,360): sin^2 theta = cos^2 theta + 11 solutions Answer 380586 by Alan3354(30993)   on 2012-04-24 20:05:23 (Show Source): You can put this solution on YOUR website!Solve over [0,360): sin^2 theta = cos^2 theta + 1 sin^2 theta - cos^2 theta - 1 = 0 sin^2 theta - cos^2 theta - sin^2 theta - cos^2 theta = 0 2cos^2 = 0 theta = 90 degs, 270 degs
 Trigonometry-basics/603110: what is the sine of 551 solutions Answer 380584 by Alan3354(30993)   on 2012-04-24 20:02:02 (Show Source): You can put this solution on YOUR website!what is the sine of 55 ----------- If you mean sin(55) degrees, it's ~ 0.819152 If it's 55 radians, =~ -0.999755 ---------- You should get a calculator.
 Money_Word_Problems/603143: You have money in an account at 7% interest, compounded annually. To the nearest year, how long will it take for your money to double? 1 solutions Answer 380583 by Alan3354(30993)   on 2012-04-24 19:58:47 (Show Source): You can put this solution on YOUR website!1.07^n = 2 n*log(1.07) = log(2) n = log(2)/log(1.07) n =~ 10.244 years --> 11 years to be ~2x
 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.