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Equations/386475: Simplify.
(9+2i) / (5-6i)
1 solutions

Answer 273216 by Fombitz(13828) About Me  on 2010-12-15 08:19:13 (Show Source):


Linear-equations/386473: Find the center and radius of the circle.
x^2+y^2+8x-10y+37=0
1 solutions

Answer 273215 by Fombitz(13828) About Me  on 2010-12-15 08:16:41 (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
x%5E2%2By%5E2%2B8x-10y%2B37=0
%28x%5E2%2B8x%29%2B%28y%5E2-10y%29%2B37=0
%28x%5E2%2B8x%2B16%29%2B%28y%5E2-10y%2B25%29%2B37=16%2B25
%28x%2B4%29%5E2%2B%28y-5%29%5E2=41-37
%28x%2B4%29%5E2%2B%28y-5%29%5E2=4
.
.
.
Center:(-4,5)
Radius:R=2


Trigonometry-basics/386440: 4sin^2x-(4/cscx)+cosx secx=0
1 solutions

Answer 273214 by Fombitz(13828) About Me  on 2010-12-15 08:14:55 (Show Source):
You can put this solution on YOUR website!
4%2Asin%5E2%28x%29-%284%2Fcsc%28x%29%29%2Bcos%28x%29%2Asec%28x%29=0
4%2Asin%5E2%28x%29-4%2Asin%28x%29%2Bcos%28x%29%2A%281%2Fcos%28x%29%29=0
4%2Asin%5E2%28x%29-4%2Asin%28x%29%2B1=0
Let u=sin%28x%29,
4u%5E2-4u%2B1=0
%282u-1%29%5E2=0
One solution:
2u-1=0
2u=1
u=1%2F2
sin%28x%29=1%2F2
x=30degrees and x=150degrees


Equations/386467: Solve for X.
[(x+4)/5]-[(x+2)/3]>1/2
1 solutions

Answer 273213 by Fombitz(13828) About Me  on 2010-12-15 08:08:19 (Show Source):
You can put this solution on YOUR website!
%28%28x%2B4%29%2F5%29-%28%28x%2B2%29%2F3%29%3E1%2F2
Multiply both sides by 30.
6%28x%2B4%29-10%28x%2B2%29%3E15
6x%2B24-10x-20%3E15
-4x%2B4%3E15
-4x%3E11
highlight%28x%3C-11%2F4%29


Probability-and-statistics/386379: a and b take turns cutting a pack of 52 cards and the pack is shuffled after each cut. if a starts and the cards are cut until one cuts a diamond, whet are the respective chances of a and b first cutting a diamond?
1 solutions

Answer 273212 by Fombitz(13828) About Me  on 2010-12-15 08:06:30 (Show Source):
You can put this solution on YOUR website!
Since the cards are shuffled and no cards are removed, A and B have the same probability of cutting a diamond.
There are 13 diamonds in a deck of 52 cards.
P%28D%29=13%2F52=1%2F4


Human-and-algebraic-language/386375: simplify expression r=118ft/min, t=(x-2)minutes
1 solutions

Answer 273211 by Fombitz(13828) About Me  on 2010-12-15 08:04:51 (Show Source):
You can put this solution on YOUR website!
Do you mean, D=R%2At
D=118%28x-2%29=highlight%28118x-236%29ft.


Probability-and-statistics/386363: an experiment consist of tossing two ordinary dice and adding the two numbers. determine the probability of obtaining a sum less than or equal to 4.
1 solutions

Answer 273210 by Fombitz(13828) About Me  on 2010-12-15 08:03:52 (Show Source):
You can put this solution on YOUR website!
There are 6%5E2=36 possible outcomes.
List the outcomes that sum to 4 or less.
(1,1)
(1,2)
(1,3)
(2,1
(2,2)
(3,1)
Only 6 of them sum to 4 or less.
P=6%2F36=1%2F6


Miscellaneous_Word_Problems/386355: The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the mean of the data.
3.5 1.6 2.4 3.7 4.1
3.9 1.0 3.6 4.2 3.4
3.7 2.2 1.5 4.2 3.4
2.7 0.4 3.7 2.0 3.6
1 solutions

Answer 273209 by Fombitz(13828) About Me  on 2010-12-15 08:01:22 (Show Source):
You can put this solution on YOUR website!
Sum the values.
S=58.8
Then divide by the number of values, 25,
A=58.8%2F25=+highlight%282.352%29,or A=2.4 rounded up.


Linear_Equations_And_Systems_Word_Problems/386448: which letter represents a function?
A.{(2,1),(1,0),(2,3),(-1,-1)}
B.{(2,1),(1,0),(0,3),(-1,-1)}
C.{(2,1),(1,0),(1,3),(-1,-1)}
D.{(2,1),(1,0),(2,3),(-1,-2)}

1 solutions

Answer 273207 by Fombitz(13828) About Me  on 2010-12-15 07:58:56 (Show Source):
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Only B has a unique y value for each x value, which is required of a function.


Radicals/386009: What is the Sqrt72-sqrt50
1 solutions

Answer 272974 by Fombitz(13828) About Me  on 2010-12-14 13:40:24 (Show Source):


Miscellaneous_Word_Problems/386056: The speed of light is approximately 1.86 x 10^5 miles per second. If the planet Pluto is 3.67 x 10^9 miles from the sun, how long does it take light from the sun to reach Pluto? Express your answer using scientific notation.
1 solutions

Answer 272968 by Fombitz(13828) About Me  on 2010-12-14 13:19:28 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
seconds


Probability-and-statistics/386016: you are going to select 2 cards from a standard deck (without replacement). What is the probability that you will select 2 kings? (Round to 4 decimal places).
1 solutions

Answer 272967 by Fombitz(13828) About Me  on 2010-12-14 13:17:07 (Show Source):
You can put this solution on YOUR website!
For the first king, P%28K%29=4%2F52=1%2F13
For the second king, P%28K%29=3%2F52=3%2F52
So then for two kings,
P%282K%29=%281%2F13%29%283%2F52%29=3%2F676=0.0044


Radicals/386048: 4t^2/16t
1 solutions

Answer 272966 by Fombitz(13828) About Me  on 2010-12-14 13:15:19 (Show Source):


Polynomials-and-rational-expressions/385306: Factor the expression a^2-6ab+96^2 into a product of binomials.

1 solutions

Answer 272696 by Fombitz(13828) About Me  on 2010-12-13 10:50:47 (Show Source):
You can put this solution on YOUR website!
a%5E2-6ab%2B96%5E2=a%28a-6b%29%2B96%5E2
Is this the answer you expected or are you missing terms in your problem?
Should it be 9b%5E2 instead of 96%5E2??


Probability-and-statistics/385324: find the probablity of getting a prime number in each of the following cases:
a) a number is chosen randomly from the set {1,2,3,4,5,6,7,8,9,10 and 11}
b)two dice are rolled and the sum is observed.
1 solutions

Answer 272695 by Fombitz(13828) About Me  on 2010-12-13 10:47:38 (Show Source):
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The subset of prime numbers is {2,3,5,7,11}.
That's five out of eleven.
P=5%2F11
.
.
.
The possible sums are 2 through 12.
The primes are 2,3,5,7,11.
That's also five out of eleven.
P=5%2F11


Numbers_Word_Problems/385390: The average of 3 consequetive+integer is 5.what is the differance between 1st and 3rd no.
1 solutions

Answer 272694 by Fombitz(13828) About Me  on 2010-12-13 10:44:35 (Show Source):
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Let n,n%2B1, and n%2B2 be the integers.
%28n%2Bn%2B1%2Bn%2B2%29%2F3=5
3n%2B3=15
3n=12
n=4
So, the integers are 4,5 and 6.
The difference is then,
D=6-4=2


Proportions/385402: Solve for x: 2x/7 = 4
1 solutions

Answer 272693 by Fombitz(13828) About Me  on 2010-12-13 10:42:44 (Show Source):


Circles/385404: Find the radius of a circle with these three points: (-4,-9),(-8,-9),(-6,-9)and center (-6,-9)
1 solutions

Answer 272692 by Fombitz(13828) About Me  on 2010-12-13 10:40:53 (Show Source):
You can put this solution on YOUR website!
(-6,-9) cannot be a point on the circle and the center.
.
.
.
The distance from the center to any point on the circle is equal to the radius.

.
.
R=2
.
.
.


test/385371: 1/p + 1/q = 5/8 Find value of p and q
1 solutions

Answer 272690 by Fombitz(13828) About Me  on 2010-12-13 10:36:12 (Show Source):
You can put this solution on YOUR website!
1%2Fp+%2B+1%2Fq+=+5%2F8
8q%2B8p=5
8q=5-8p
highlight%28q=%285-8p%29%2F8%29
Choose a value for p, then use the equation to calculate the value of q, where p%3C%3E0 and q%3C%3E0.


Exponents-negative-and-fractional/385298: y=1over2x-4
1 solutions

Answer 272688 by Fombitz(13828) About Me  on 2010-12-13 10:28:01 (Show Source):
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What's the question?


Functions/385397: I don't see why this problem wouldn't be a function can someone please explain it to me?
Let “M” be the set of motor vehicle owners who are registered in Ohio. Let “R” be the set of all motor vehicle registration numbers. Is the correspondence between M and R a function? Why, or why not?
1 solutions

Answer 272685 by Fombitz(13828) About Me  on 2010-12-13 10:25:01 (Show Source):
You can put this solution on YOUR website!
No because for a correspondence to be a function there must be a one-to-one correspondence.
For each x value, there must be a unique y value.
For cars, this means that each owner can only register one car in his or her name.
As you know, some people have only one car but many people have multiple cars in their name.
So there is not a one-to-one correspondence, so it can't be a function.
.
.
.
However, the other way around it would work because each registration number (VIN number) can only have one owner. So R(M) is a function but M(R) is not.


Percentage-and-ratio-word-problems/385398: If $500 is deposited in an account paying 8.6% annual interest, compounded continuously, how long will it take for the account to increase to $825?
1 solutions

Answer 272683 by Fombitz(13828) About Me  on 2010-12-13 10:12:43 (Show Source):


Exponents/385244: Please Help
factor 3r^2-5r-12
Thank you
1 solutions

Answer 272571 by Fombitz(13828) About Me  on 2010-12-12 22:54:43 (Show Source):


Linear-equations/385196: find the slope of the line containing the given pair of points (-4,3) and (3, 3)
1 solutions

Answer 272569 by Fombitz(13828) About Me  on 2010-12-12 22:52:32 (Show Source):


Quadratic-relations-and-conic-sections/385192: Convert 2x^2 + 2y^2 + 6x - 8y + 12 = 0 into center-radius form.
I divided by 2 to get a coefficeint of one. then when I tried to complete the square I didn't know what to do with the 3.
x^2 + 3x + ___ + y^2 + 4y + 2 = -6 + ____ + 2
1 solutions

Answer 272568 by Fombitz(13828) About Me  on 2010-12-12 22:51:41 (Show Source):
You can put this solution on YOUR website!
Take (1/2) of 3 and square it, add it to both sides.
Also, for y you should add 4 and not 2 to both sides (again it's (1/2)4 squared).
x%5E2%2B3x%2B9%2F4%2By%5E2%2B4y%2B4=-6%2B9%2F4%2B4
%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2=-24%2F4%2B9%2F4%2B16%2F4
highlight%28%28x%2B3%2F2%29%5E2%2B%28y%2B2%29%5E2=1%2F4%29


Linear-equations/385191: find the y - intercept for x+y=1
1 solutions

Answer 272567 by Fombitz(13828) About Me  on 2010-12-12 22:49:06 (Show Source):
You can put this solution on YOUR website!
Set x=0, solve for y
x%2By=1
0%2By=1
y=1
.
.
(0,1)


Radicals/385235: Solve for x: x+4=4√(x+1)
I'm not sure how to do this problem. I first subtracted 4 from both sides to get X on the left and after that I am not sure what to do.
1 solutions

Answer 272566 by Fombitz(13828) About Me  on 2010-12-12 22:47:45 (Show Source):
You can put this solution on YOUR website!
No, first step square both sides.
x%2B4=4%2Asqrt%28x%2B1%29
%28x%2B4%29%5E2=16%28x%2B1%29
x%5E2%2B8x%2B16=16x%2B16
x%5E2-8x=0
x%28x-8%29=0
Two solutions:
highlight%28x=0%29
.
.
x-8=0
highlight%28x=8%29
.
.


Subset/385240: Which of the following are subsets of E, where E {2, 4, 6, 8, ...}

1 solutions

Answer 272565 by Fombitz(13828) About Me  on 2010-12-12 22:45:16 (Show Source):
You can put this solution on YOUR website!
There are no choices provided.
Please re-post.


Linear_Algebra/385257: Factor.
yu + 10y + uw + 10w
1 solutions

Answer 272564 by Fombitz(13828) About Me  on 2010-12-12 22:44:45 (Show Source):


Linear_Algebra/385245: Factor.
49w^2 - 81
1 solutions

Answer 272563 by Fombitz(13828) About Me  on 2010-12-12 22:43:54 (Show Source):


Linear_Algebra/385247: Factor completely.
32u^4 - 2u^4w^4
1 solutions

Answer 272562 by Fombitz(13828) About Me  on 2010-12-12 22:43:21 (Show Source):