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 logarithm/744736: 1. Show that log(base c)x/y = -log(base c)4/x Can you please help me out? Thanks so much in advance:) Can you please show all the steps it would really help me understand:) 1 solutions Answer 453514 by Alan3354(31505)   on 2013-05-03 17:52:07 (Show Source): You can put this solution on YOUR website!duplicate
 logarithm/744735: 1. Show that log(base 1/c)x = log(base c)1/x Can you please help me out? Thanks so much in advance:) Can you please show all the steps it would really help me understand:) 1 solutions Answer 453513 by Alan3354(31505)   on 2013-05-03 17:51:37 (Show Source): You can put this solution on YOUR website!duplicate
 Linear-equations/744667: y=x^2-4 - having trouble1 solutions Answer 453506 by Alan3354(31505)   on 2013-05-03 16:35:21 (Show Source): You can put this solution on YOUR website!y=x^2-4 - having trouble ----------- x^2 - 4 = 0 x^2 = 4 x = -2, x = 2
 Travel_Word_Problems/744715: Not homework - just curious. If a train is going 50 mph and it takes 17 minutes to pass in front of my at the crossing, how long is the train?1 solutions Answer 453505 by Alan3354(31505)   on 2013-05-03 16:18:30 (Show Source): You can put this solution on YOUR website!If a train is going 50 mph and it takes 17 minutes to pass in front of my at the crossing, how long is the train? ---------- 50 mi/hr * 17 min * 1/60 hr/min = 85/6 miles = 14.167 miles A long train
 logarithm/744714: 1.Show that log(base c) x/y = -log(base c) 4/x Can you please help me out? Thanks so much in advance:) Can you please show all the steps it would really help me understand:) 1 solutions Answer 453504 by Alan3354(31505)   on 2013-05-03 16:13:54 (Show Source): You can put this solution on YOUR website!1.Show that log(base c) x/y = -log(base c) 4/x ------------ I think you mean 1.Show that log(base c) x/y = -log(base c) y/x ============ log(base c) x/y log(x/y) = log(x) - log(y) log(y/x) = log(y) - log(x), -1* the row above. To any base.
 Money_Word_Problems/744648: i was left an inheritance of 5000.00 and its has accumulated interest at 6% for 33 years how much do i receive?1 solutions Answer 453502 by Alan3354(31505)   on 2013-05-03 16:11:58 (Show Source): You can put this solution on YOUR website!i was left an inheritance of 5000.00 and its has accumulated interest at 6% for 33 years how much do i receive? --------------- You have to spec the compounding period, if any. compounded annually: = 5000*1.06^33 = \$34202.95 -------------- Compounded monthly: = 5000*1.005^396 = \$36035.49 ------------- Compounded continuously: = 5000*e^(0.06*33) = \$36213.72 (the max)
 logarithm/744706: 1. Show that log(base 1/c)x = log(base c)1/x Can you please help me out? Thanks so much in advance:) Can you please show all the steps it would really help me understand:) 1 solutions Answer 453501 by Alan3354(31505)   on 2013-05-03 16:07:13 (Show Source): You can put this solution on YOUR website!1. Show that log(base 1/c)x = log(base c)1/x -------------- log(base 1/c)x = m --> (1/c)^m = x --> 1/(c^m) = x --> c^(-m) = x ---- log(base c)1/x = n --> c^n = 1/x --> c^(-n) = x ---------------------- c^-n = x c^-m = x ------ m = n log(base 1/c)x = log(base c)1/x QED
Complex_Numbers/744694: I'm having some trouble with a question on my test:
.
-11x^2+12x - 6 = 0
.
Answers:
.
A) x ={-6 +- i[SQRT(60)]}/11
B) x = {-6 +- i[SQRT(30)]}/-11
C) x = {6 +- i[SQRT(12)]}/6
D) x = {-6 +- i[SQRT(22)]}/-11
E) x = {-11 +- i} /6
F) x = {11 +- i} /-6
.
.
What I did first is to insert the question into the quadratic formula, with -11, 12 and -6 as a, b and c.
(-12 ± √144 - 264) / (-22)
Which turns into
(-12±√-120) / -22
.
But now I'm stuck. Could I have some help please?
1 solutions

Answer 453499 by Alan3354(31505)   on 2013-05-03 15:48:58 (Show Source):
You can put this solution on YOUR website!
-11x^2+12x - 6 = 0
.
Answers:
.
A) x ={-6 +- i[SQRT(60)]}/11
B) x = {-6 +- i[SQRT(30)]}/-11
C) x = {6 +- i[SQRT(12)]}/6
D) x = {-6 +- i[SQRT(22)]}/-11
E) x = {-11 +- i} /6
F) x = {11 +- i} /-6
.
.
What I did first is to insert the question into the quadratic formula, with -11, 12 and -6 as a, b and c.
(-12 ± √144 - 264) / (-22)
Which turns into
(-12±√-120) / -22
.
But now I'm stuck. Could I have some help please?
-----------------------
(-12±√-120) / -22 You were almost done.
=
=
--> C
============
 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 : . The discriminant -120 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -120 is + or - . The solution is , or Here's your graph:

 Quadratic_Equations/744633: to solve 3R+yr= m for R, we must first factor the left side1 solutions Answer 453470 by Alan3354(31505)   on 2013-05-03 12:29:54 (Show Source): You can put this solution on YOUR website!to solve 3R+yr= m for R, we must first factor the left side ------------ Does R = r ?
 Graphs/744628: solve each system of equations by graphing: x=2, y=31 solutions Answer 453463 by Alan3354(31505)   on 2013-05-03 11:26:17 (Show Source): You can put this solution on YOUR website!solve each system of equations by graphing: x=2, y=3 =============== Solve for what?
 Numbers_Word_Problems/744626: find two consecutive odd natural numbers such that their product is 223 more than their sum1 solutions Answer 453461 by Alan3354(31505)   on 2013-05-03 11:20:18 (Show Source): You can put this solution on YOUR website!find two consecutive odd natural numbers such that their product is 223 more than their sum ---------------------- n*(n+2) = n + n+2 + 223 --> 15 & 17
 Geometry_Word_Problems/744602: Brooks gets a paper cup to drink out of that has a height of 5 inches. The diameter of the rim is 4 inches. He fills it completely with lemonade. His wife Stephanie drinks from the cup to the point where the depth of the lemonade is 4 inches at its deepest point. What is the volume of lemonade left for Brooks to drink?1 solutions Answer 453453 by Alan3354(31505)   on 2013-05-03 10:42:14 (Show Source): You can put this solution on YOUR website!Brooks gets a paper cup to drink out of that has a height of 5 inches. The diameter of the rim is 4 inches. He fills it completely with lemonade. His wife Stephanie drinks from the cup to the point where the depth of the lemonade is 4 inches at its deepest point. What is the volume of lemonade left for Brooks to drink? ------------ Is it a cone? A cylinder?
 Miscellaneous_Word_Problems/744547: Find the largest three-digit number which has ten factors. including 1 and itself1 solutions Answer 453452 by Alan3354(31505)   on 2013-05-03 10:40:08 (Show Source): You can put this solution on YOUR website!Find the largest three-digit number which has ten factors. including 1 and itself -------------- Factors have to be repeated since the product of 1 and the first 8 prime numbers --> 9699690 ------------------------ so it could be 1,1,1,1,1,1,1,1,1,999
 Quadratic_Equations/744611: two positive integers have a sum of 14 and a product of 24. what are the integers?1 solutions Answer 453450 by Alan3354(31505)   on 2013-05-03 10:29:06 (Show Source): You can put this solution on YOUR website!two positive integers have a sum of 14 and a product of 24. what are the integers? ------------ 2 & 12
 Volume/744461: The volume of a right tiangular prism is 600 cubic units. Find its volume if its dimensions are increased 2.5 times. A. 9375 B. 3750 C. 1500 D. 6001 solutions Answer 453448 by Alan3354(31505)   on 2013-05-03 10:25:33 (Show Source): You can put this solution on YOUR website!The volume of a right tiangular prism is 600 cubic units. Find its volume if its dimensions are increased 2.5 times. A. 9375 B. 3750 C. 1500 D. 600 -------------- =
 Linear_Equations_And_Systems_Word_Problems/744464: I get \$3 per 40 miles driving I spent \$3000 for the year how many miles did i buy for the year. I came up with 40000 but that seemed to easy??? 1 solutions Answer 453446 by Alan3354(31505)   on 2013-05-03 10:21:50 (Show Source): You can put this solution on YOUR website!I get \$3 per 40 miles driving I spent \$3000 for the year how many miles did i buy for the year. I came up with 40000 but that seemed to easy??? -------------- 40000 is correct. And, it is easy.
 Surface-area/744618: the length and width of a rectangle are consecutive even integers. the area of the rectangle is 8 square units. what are the length and width of the rectangle?1 solutions Answer 453445 by Alan3354(31505)   on 2013-05-03 10:17:05 (Show Source): You can put this solution on YOUR website!the length and width of a rectangle are consecutive even integers. the area of the rectangle is 8 square units. what are the length and width of the rectangle? ----------- 2 by 4
 Travel_Word_Problems/744505: if you traveled for 1500 miles in 4 hours what was your speed?1 solutions Answer 453338 by Alan3354(31505)   on 2013-05-02 22:05:17 (Show Source): You can put this solution on YOUR website!if you traveled for 1500 miles in 4 hours what was your speed? ------------ Divide miles by hours --> mi/hr
 Systems-of-equations/744469: 2. Use ELIMINATION to solve the systems of equations: 2x + y = 4 x – y = 2 1 solutions Answer 453336 by Alan3354(31505)   on 2013-05-02 22:03:07 (Show Source): You can put this solution on YOUR website!2. Use ELIMINATION to solve the systems of equations: 2x +y = 4 x – y = 2 ------------ Add
 logarithm/744477: 1. Use a calculator to evaluate the following a) log(base 2)5 b) log(base 7)√5 c) log(base 5) 2 Can you please help me out? Thanks so much in advance:) Can you please show all the steps it would really help me understand:)1 solutions Answer 453326 by Alan3354(31505)   on 2013-05-02 21:31:56 (Show Source): You can put this solution on YOUR website!1. Use a calculator to evaluate the following a) log(base 2)5 Use the base change formula = log(5)/log(2) =~ 2.3219 =========== Do the same for these 2 b) log(base 7)√5 c) log(base 5) 2
 Linear-equations/744440: use integer values of x from –3 to 3 to graph the equation. = –2x2 + 3 1 solutions Answer 453315 by Alan3354(31505)   on 2013-05-02 20:03:15 (Show Source): You can put this solution on YOUR website! use integer values of x from –3 to 3 to graph the equation. = –2x2 + 3 ----------- You show only 1 variable, x --- y = –2x2 + 3 can be graphed. ------ x = 0, y = 3 --> 0,3) x = 1, -1, y = 1 --> (-1,1) & (1,1) --------- Do the same for x = +/- 2 & 3 Plot the points, draw a curve thru them.
 Equations/744424: Solve the equation. Round your answer to two decimal places when appropriate. (X+4)^3 = -331 solutions Answer 453310 by Alan3354(31505)   on 2013-05-02 19:43:48 (Show Source): You can put this solution on YOUR website!(X+4)^3 = -33 ----------- x =~ -7.21 is the principal solution
 logarithm/744437: how do you solve 4log2 5+4log2 6-2log2 11 ?1 solutions Answer 453309 by Alan3354(31505)   on 2013-05-02 19:41:11 (Show Source): You can put this solution on YOUR website!how do you solve 4log2 5+4log2 6-2log2 11 ? ------------ Solve for what? There's no variable. --- Equations are solved. That is not an equation, there's no equal sign.
 Linear-systems/744432: Please help me solve this equation. Use the elimination method to solve the system of equations a+7b=7 a+2b=-3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is one solution, it is __ ( simplify your answer. Type an ordered pair) B. There are infinitely many solutions. C. There is no solution.1 solutions Answer 453307 by Alan3354(31505)   on 2013-05-02 19:35:04 (Show Source): You can put this solution on YOUR website!Use the elimination method to solve the system of equations a+7b=7 a+2b=-3 ----------- Subtract
 Square-cubic-other-roots/744348: What is the solution of the equation? 1 solutions Answer 453279 by Alan3354(31505)   on 2013-05-02 17:11:57 (Show Source): You can put this solution on YOUR website! ----- x = 4*3^(3/8) - 2
 Trigonometry-basics/744269: in triangle ABC A=65 a=10 b=13 find B1 solutions Answer 453243 by Alan3354(31505)   on 2013-05-02 12:32:01 (Show Source): You can put this solution on YOUR website!in triangle ABC A=65 a=10 b=13 find B ---------- a/sin(A) = b/sin(B)
 Linear_Algebra/744266: Can someone please help me with this integral calculus problem? An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 120^e−0.01(t)liters per minute. How much oil leaks out during the first hour? (Round your answer to the nearest liter.) 1 solutions Answer 453242 by Alan3354(31505)   on 2013-05-02 12:30:17 (Show Source): You can put this solution on YOUR website!An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 120^e−0.01(t)liters per minute. How much oil leaks out during the first hour? (Round your answer to the nearest liter.) ------------ r(t) = 120e^-0.01t, t in minutes R(t) = -12000e^-0.01t Vol = R(60) - R(0) = -6585.74 + 12000 =~ 5414 liters
 Linear_Equations_And_Systems_Word_Problems/744270: there are 795 heads and 2326 feet. How many are people and how many are dogs?1 solutions Answer 453239 by Alan3354(31505)   on 2013-05-02 12:14:30 (Show Source): You can put this solution on YOUR website!there are 795 heads and 2326 feet. How many are people and how many are dogs? --------- p + d = 795 2p + 4d = 2326
 logarithm/744236: Solve the following equation for x: ln 4x + ln 2x=1 I ended up multiplying the 4x and 2x to get e over 8 but I don't think that's correct.1 solutions Answer 453228 by Alan3354(31505)   on 2013-05-02 09:45:11 (Show Source): You can put this solution on YOUR website!Solve the following equation for x: ln 4x + ln 2x=1 I ended up multiplying the 4x and 2x to get e over 8 but I don't think that's correct. Close, but it's sqrt of e/8 =============== ln 4x + ln 2x=1 Adding logs --> multiply --> ln of negative numbers, ignore
 Travel_Word_Problems/744172: if i have traveled 25 miles, how many km would i have traveled?1 solutions Answer 453219 by Alan3354(31505)   on 2013-05-02 03:14:38 (Show Source): You can put this solution on YOUR website!if i have traveled 25 miles, how many km would i have traveled? 25*1.609 km
 Percentage-and-ratio-word-problems/744115: The speed of three cars are in the ratio of 2:2.5:3. Then what is the ratio of time taken by these cars to travel the same distance.1 solutions Answer 453218 by Alan3354(31505)   on 2013-05-02 03:13:35 (Show Source): You can put this solution on YOUR website!The speed of three cars are in the ratio of 2:2.5:3. Then what is the ratio of time taken by these cars to travel the same distance. ----------- t = d/r --> 1/2:1/2.5:1/3 = 15:12:10