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Permutations/244908: What is the probability that an integer between 1 and 50 inclusive is divisible by 3 or 4? Do this problem without enumerating all the numbers. 1 solutions Answer 179055 by Fombitz(13828)   on 2009-12-02 08:00:50 (Show Source): You can put this solution on YOUR website! 3*16=48 so there are 16 numbers divisible by 3 less than 50. 4*12=48 so there are 12 numbers divisible by 4 less than 50. The numbers 12, 24, 36, and 48 are counted twice since they're divisible by both 3 and 4 so take out one instance for each number. N=16+12-4=24 P=24/50=12/25

logarithm/243078: Please help me solve the folloiwng problem. Find five pairs (p, q) for which logp+logq=log(p+q) 1 solutions Answer 178132 by Fombitz(13828)   on 2009-11-27 23:12:06 (Show Source): You can put this solution on YOUR website! Any 5 pair of positive numbers will work since this is an identity: (1,2) (2,3) (3,4) (4,5) (5,6)

logarithm/243110: Find the domain of the function f(x)=In(6x+18) 1 solutions Answer 178131 by Fombitz(13828)   on 2009-11-27 23:10:44 (Show Source): You can put this solution on YOUR website! The argument for ln must be greater than zero. The domain is all x such that x>-3.

logarithm/243111: Simplify: log (1/100) 1 solutions Answer 178130 by Fombitz(13828)   on 2009-11-27 23:09:27 (Show Source): You can put this solution on YOUR website!

logarithm/243113: Solve for x: log 20 + log (x+4)=2 1 solutions Answer 178129 by Fombitz(13828)   on 2009-11-27 23:08:24 (Show Source): You can put this solution on YOUR website!

Equations/242368: Solve by the substitution method 2x+5y=4 x=11-7y 1 solutions Answer 177445 by Fombitz(13828)   on 2009-11-24 11:01:46 (Show Source): You can put this solution on YOUR website! Substitute for x in the first equation and solve for y. Then from eq. 1,

Miscellaneous_Word_Problems/242406: Side of a cube. Find the length of the side of a cubic box whose volume is 80 cubic feet. 1 solutions Answer 177444 by Fombitz(13828)   on 2009-11-24 10:58:40 (Show Source): You can put this solution on YOUR website! 4.31 meters

logarithm/242318: Find the partial fraction decomposition of (26x^2+208x)/(x^2+1)(x+5) 1 solutions Answer 177443 by Fombitz(13828)   on 2009-11-24 10:56:30 (Show Source): You can put this solution on YOUR website! Comparing terms, 1) 2) 3) From 1), Substitute into 2), Add this to 3) Then, and finally,

Age_Word_Problems/242371: The three Gracia girls were born in consecutive years.The sum of their ages is more than 39 decreased by the age of the youngest.What is the least possible ages of the girls? 1 solutions Answer 177441 by Fombitz(13828)   on 2009-11-24 10:40:27 (Show Source): You can put this solution on YOUR website! Let the girls ages be A, B, and C. The youngest is A. The sum of their ages is 10, 11, and 12.

Functions/242344: find f(x+h)/h-f(x)/h when f(x)=1/x+3 1 solutions Answer 177440 by Fombitz(13828)   on 2009-11-24 10:33:06 (Show Source): You can put this solution on YOUR website! When h-->0, then

Mixture_Word_Problems/242373: how many ounces of a 40% alcohol solution should be mixed with 60 ounces of a 70% alcohol solutionto produce a 60% alcohol solution? 1 solutions Answer 177439 by Fombitz(13828)   on 2009-11-24 10:29:51 (Show Source): You can put this solution on YOUR website! Call the number of ounces X. 30 ounces

logarithm/242376: evalute the following exactly a) 8 rasied to 2 over 3 b) (1 over 9)rasied to -3over 2 1 solutions Answer 177438 by Fombitz(13828)   on 2009-11-24 10:27:48 (Show Source): You can put this solution on YOUR website! . . .

logarithm/242396: solve for x log_2(3-x)+log_2(1-2x)=5 1 solutions Answer 177437 by Fombitz(13828)   on 2009-11-24 10:24:52 (Show Source): You can put this solution on YOUR website! Use the quadratic formula, Two solutions: Check the solutions, Negative arguments for logs are not allowed. x=5.941 is not a solution. Close enough. x=-2.441

logarithm/242397: solve for x 5e^x+12=27 1 solutions Answer 177434 by Fombitz(13828)   on 2009-11-24 10:14:17 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/242398: How do i solve: F(x)= X divided by the X square root of 2 minus 4 Please help me solve this 1 solutions Answer 177433 by Fombitz(13828)   on 2009-11-24 10:13:11 (Show Source): You can put this solution on YOUR website! What are you trying to solve for?

Equations/242365: Solve using elimination method 7r-3s=35 3r+7s=73 1 solutions Answer 177411 by Fombitz(13828)   on 2009-11-24 08:31:56 (Show Source): You can put this solution on YOUR website! Multiply the first eq. by 7 and the second by 3 and add them together to get rid of s. . . . . . . r=8, s=7

Equations/242362: Distributive prope 7(w-7)=-49 W=? 1 solutions Answer 177409 by Fombitz(13828)   on 2009-11-24 08:27:44 (Show Source): You can put this solution on YOUR website!

Coordinate-system/242361: I have to graph -3x^2-6x-5. I found the vertex only I'm having problem finding the other points to make the parabola. The negatives are giving me the problems. 1 solutions Answer 177408 by Fombitz(13828)   on 2009-11-24 08:26:31 (Show Source): You can put this solution on YOUR website! Do the positive and negative values of x side by side. Only the sign of the x term changes. , , , , , , , . . .

Graphs/242319: solve the system by graphing 2x+y=2 x+3y=-9 what is the solution? 1 solutions Answer 177407 by Fombitz(13828)   on 2009-11-24 08:20:11 (Show Source): You can put this solution on YOUR website! . . . Looks like (3,-4) 2x+y=2 2(3)+(-4)=2 6-4=2 2=2 . x+3y=-9 3+3(-4)=-9 3-12=-9 -9=-9 . . Yes, (3,-4) is the solution

Functions/242314: 2x+ x^1/2 -3=0 1 solutions Answer 177406 by Fombitz(13828)   on 2009-11-24 08:16:46 (Show Source): You can put this solution on YOUR website! Let , , then Factor Two solutions . . .

Polynomials-and-rational-expressions/242313: what is the greatest common factor 50z^5(y+15), 20z^6(y+15)^3, and 30z^7(y+15)^2 1 solutions Answer 177405 by Fombitz(13828)   on 2009-11-24 08:12:35 (Show Source): You can put this solution on YOUR website!

Polynomials-and-rational-expressions/242309: factor completley 3y^2(2y+5)+2y(2y+5)+6(2y+5) 1 solutions Answer 177404 by Fombitz(13828)   on 2009-11-24 08:09:54 (Show Source): You can put this solution on YOUR website! That's as factored as it gets.

Radicals/242297: (4x^-5)^3/4 Thats four x to the negative fifth power all raised to the 3/4s power. Thank you. 1 solutions Answer 177403 by Fombitz(13828)   on 2009-11-24 08:07:47 (Show Source): You can put this solution on YOUR website!

Functions/242346: find the domain of each function. express your answer using interval notation. 1.h(x)=square root of x divide by the absolute value of x 2. g(x)=absolute value of x divide by x 1 solutions Answer 177402 by Fombitz(13828)   on 2009-11-24 08:04:43 (Show Source): You can put this solution on YOUR website! 1. Square root requires positive values. Division by abs. value of x requires values not equal to zero. The domain is then positive values greater than zero. x=(,) The "(" implies 0 is not included in the set, compared to "[" which would include it. 2. No restrictions on absolute value. Division by x requires values not equal to zero. The domain is all values other than zero. x=(,)U(,)

Radicals/242356: Ughhhh... This algebra is so hard. I would really appreciate any help someone could give me. Thank you so much in advance!!!!!! Simplify by factoring, assume that all numbers under the radical are nonnegative. 3rd root of 270*t^8 That would be 270*t^8 under the radical sign, and the 3, up in the checkmark on the outside of the radical sign. 1 solutions Answer 177399 by Fombitz(13828)   on 2009-11-24 08:00:01 (Show Source): You can put this solution on YOUR website! Use these exponentiation rules . . .

Coordinate-system/242357: Find the slope of ( -5, -1) and 2, -3). If the slope is undefined state this. Thanks. 1 solutions Answer 177398 by Fombitz(13828)   on 2009-11-24 07:55:09 (Show Source): You can put this solution on YOUR website! Find the slope

Proportions/238383: The ratio of the areas of two squares is 3 : 4. What is the ratio of the lengths of their corresponding diagonals? 1 solutions Answer 175256 by Fombitz(13828)   on 2009-11-13 10:43:25 (Show Source): You can put this solution on YOUR website! The area of a square of side s is The diagonal of the square is So area as a function of diagonal is The area is proportional to the square of the diagonals.

Geometry_proofs/238515: Prove the following statement: If a triangle has one obtuse angle, then the other two angles are acute. 1 solutions Answer 175252 by Fombitz(13828)   on 2009-11-13 10:37:52 (Show Source): You can put this solution on YOUR website! For every triangle, where A,B,C are the angles. An obtuse angle is an angle greater than 90 degrees. Let A be an obtuse angle. Then A=90+e, where e is a positive value, less than 90. B and C cannot equal 0. Then which means they are both acute.

Equations/238391: simplify by removing a factor equal to 1 r^2-4/3r+6 1 solutions Answer 175251 by Fombitz(13828)   on 2009-11-13 10:33:31 (Show Source): You can put this solution on YOUR website!

Linear-equations/238511: find an equation of the line that has a y-intercept of 2 that is parallel to the graph of the line 4x+2y=8 1 solutions Answer 175246 by Fombitz(13828)   on 2009-11-13 10:31:08 (Show Source): You can put this solution on YOUR website! Since it's parallel, the left hand side will be identical. Only the right hand side will change. 4x+2y=G 2y=-4x+G y=-4x+(G/2) "y-intercept of 2" G/2=2 G=4 4x+2y=4

Linear-equations/238387: how do i write y=-9-3(x=3) in intercept form? 1 solutions Answer 175241 by Fombitz(13828)   on 2009-11-13 10:12:02 (Show Source): You can put this solution on YOUR website! y=-9-3(x=3) I'm assuming the "=" is a "+"