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Fombitz answered: 13805 problems
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Signed-numbers/358959: are S and T disjoint
1 solutions

Answer 256123 by Fombitz(13828) About Me  on 2010-10-20 00:16:59 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Question 358961 in Signed-numbers:


Signed-numbers/358960: are S and T disjoint?
1 solutions

Answer 256122 by Fombitz(13828) About Me  on 2010-10-20 00:16:48 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Question 358961 in Signed-numbers:


Signed-numbers/358961: S equals {o,3,6,9} T equals {1,3,5,7,9} are S and T disjoint
1 solutions

Answer 256121 by Fombitz(13828) About Me  on 2010-10-20 00:16:24 (Show Source):
You can put this solution on YOUR website!
S and T are disjoint if they have no elements in common.
Since S and T both share element {3,9} they are not disjoint.


Graphs/358912: How do I graph y=-1/5x-2
1 solutions

Answer 256120 by Fombitz(13828) About Me  on 2010-10-20 00:14:40 (Show Source):
You can put this solution on YOUR website!
Graph the y-intercept (0,-2).
Then use the slope to find another point, starting at the intercept.
Slope=%28DELTA%2Ay%29%2F%28DELTA%2Ax%29=-1%2F5
So a change in x of 5 will give a change in y of -1.
Starting from the y-intercept,
X:0%2B5=5
Y:-2-1=-3
(5,-3) is another point on the line.



Rational-functions/358646: y < x
1 solutions

Answer 255974 by Fombitz(13828) About Me  on 2010-10-19 16:58:28 (Show Source):
You can put this solution on YOUR website!
Plot y=x
.
.
.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%29
.
.
.
Now choose a point not on the line, (-5,0).
Test the inequality.
y%3Cx
0%3C-5
False, shade the region that doesn't include (-5,0)
.
.
.
Solved by pluggable solver: Plot Any Inequality
Graphing function y%3Cx:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y%3Cx+%29


Equations/358648: I am trying to help my son with his pre-algebra homework, don't remember how to do it. Sample question 14A-93=49-57A
1 solutions

Answer 255971 by Fombitz(13828) About Me  on 2010-10-19 16:55:26 (Show Source):
You can put this solution on YOUR website!
A's on the left, every thing else on the right.
Here it is step by step.
14A-93=49-57A
.
.
14A-93%2B93=49%2B93-57A
.
.
14A%2B0=142-57A
.
.
14A%2B57A=142-57A%2B57A
.
.
71A=142%2B0
.
.
71A=142
.
.
%2871A%29%2F71=142%2F71
.
.
%2871%2F71%29A=2
.
.
%281%29A=2
.
.
highlight%28A=2%29


Exponents-negative-and-fractional/358645: how do u put in the expontent 54 into a calculator??
the question is 1000(1+.09/12)^(54)
1 solutions

Answer 255969 by Fombitz(13828) About Me  on 2010-10-19 16:52:31 (Show Source):
You can put this solution on YOUR website!
You should have a y^x button somewhere.
.
.
.
1000+%2A+%28%281+%2B+%28.09+%2F+12%29%29%5E54%29+=+1497.03847+%0D%0A+++
I typed your line into Google and got the answer.
You don't even need a calculator any more.


Polynomials-and-rational-expressions/358639: please help me i am lost
Solve

2/w = 3/w - 1/11
1 solutions

Answer 255966 by Fombitz(13828) About Me  on 2010-10-19 16:44:35 (Show Source):
You can put this solution on YOUR website!
Multiply both sides by 11w
2%2Fw+=+3%2Fw+-+1%2F11
22=33-w
Now solve for w.


Matrices-and-determiminant/358355: THE NAME OF THE ASSIGNMENT IS OPERATIONS WITH MATRICES
find C+D if C=[14,8,-1] and D=[-10,8,15]
find A-B if A=[2,-7 and B=[-3,2
1,4] -6,0]
if A=[2,5 and B=[1,2 find 4A-5B
-3,-6] -4,9]

1 solutions

Answer 255965 by Fombitz(13828) About Me  on 2010-10-19 16:43:24 (Show Source):
You can put this solution on YOUR website!
[C]=%28matrix%281%2C3%2C14%2C8%2C-1%29%29
[D]=%28matrix%281%2C3%2C-10%2C8%2C15%29%29
.
.
[C+D]=%28matrix%281%2C3%2C14-10%2C8%2B8%2C-1%2B15%29%29
[C+D]=highlight%28%28matrix%281%2C3%2C4%2C16%2C14%29%29%29
.
.
.
[A]=%28matrix%282%2C2%2C2%2C-7%2C1%2C4%29%29
[B]=%28matrix%282%2C2%2C-3%2C2%2C-6%2C0%29%29
.
.
[A-B]=%28matrix%282%2C2%2C2-%28-3%29%2C-7-2%2C1-%28-6%29%2C4-0%29%29
[A-B]=%28matrix%282%2C2%2C2%2B3%2C-9%2C1%2B6%2C4%29%29
[A-B]=highlight%28%28matrix%282%2C2%2C5%2C-9%2C7%2C4%29%29%29
.
.
.
[A]=%28matrix%282%2C2%2C2%2C5%2C-3%2C-6%29%29
4[A]=[4A]=%28matrix%282%2C2%2C8%2C20%2C-12%2C-24%29%29
[B]=%28matrix%282%2C2%2C1%2C2%2C-4%2C9%29%29
5[B]=[5B]=%28matrix%282%2C2%2C5%2C10%2C-20%2C45%29%29
.
.
[4A]-[5B]=%28matrix%282%2C2%2C8-5%2C20-10%2C-12-%28-20%29%2C-24-45%29%29
[4A]-[5B]=highlight%28+%28matrix%282%2C2%2C3%2C10%2C8%2C-69%29%29%29


Polynomials-and-rational-expressions/358634: Evaluate the polynomial for x=5

+2x%5E2-4x%2B6+ please simplify


Please help me


1 solutions

Answer 255962 by Fombitz(13828) About Me  on 2010-10-19 16:33:48 (Show Source):
You can put this solution on YOUR website!
+2x%5E2-4x%2B6+=2%285%29%5E2-4%285%29%2B6
+2x%5E2-4x%2B6+=2%2825%29-20%2B6
Your turn, finish that calculation to get the final answer.


Numbers_Word_Problems/358629: Water flows through a pipe at 20,000 cm cubed per second. How many minutes does it take to fill a rectangular tank 3m x 4m x 5m ?

1 solutions

Answer 255961 by Fombitz(13828) About Me  on 2010-10-19 16:32:47 (Show Source):
You can put this solution on YOUR website!
First find the volume of the tank.
V=3%2A4%2A5=60m%5E3
.
.
.
In terms of cm%5E3,
V=60%28100%29%5E3=6x10%5E7cm%5E3
.
.
.
Rate*Time=Output
.
.
.
%282x10%5E4%29t=6x10%5E7
t=3x10%5E3=3000seconds
t=3000%2F60
highlight%28t=50%29 minutes


Polynomials-and-rational-expressions/358630: Factor. 5b^7-1080b^4
1 solutions

Answer 255956 by Fombitz(13828) About Me  on 2010-10-19 16:28:33 (Show Source):


Age_Word_Problems/358623: Equal amounts are invested in two accounts paying 4% and 5% interest annually. If one year's combined interest income is $324, how much is invested in each account?

1 solutions

Answer 255954 by Fombitz(13828) About Me  on 2010-10-19 16:21:59 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Question 358625 in Age_Word_Problems:


Age_Word_Problems/358625: Equal amounts are invested in two accounts paying 4% and 5% interest annually. If one year's combined interest income is $324, how much is invested in each account?

1 solutions

Answer 255953 by Fombitz(13828) About Me  on 2010-10-19 16:21:37 (Show Source):
You can put this solution on YOUR website!
4A%2B5A=32400
9A=32400
A=3600
$3600 is invested in each account.


Linear-equations/358627: I am having problems coming up with solutions to plot the intercept points...
1/2x - 1/5y = 1

1 solutions

Answer 255951 by Fombitz(13828) About Me  on 2010-10-19 16:20:24 (Show Source):
You can put this solution on YOUR website!

%281%2F2%29x+-+%281%2F5%29y+=+1
.
.
.
To find the x-intercept, set y=0 and solve for x.
%281%2F2%29x+-+%281%2F5%29y+=+1
%281%2F2%29x+-+0+=+1
Now solve for x
.
.
.
To find the y-intercept, set x=0 and solve for y.
%281%2F2%29x+-+%281%2F5%29y+=+1
+-+%281%2F5%29y+=+1
Now solve for y


Linear-equations/358624: Have to graph the equation by plotting intercepts. I understand what intercepts are, but cannot solve this equation. Am I correct that all intercept points have a 0 in the ordered pair? Please help so lost on this one!
y + 1/2x = 3

1 solutions

Answer 255950 by Fombitz(13828) About Me  on 2010-10-19 16:19:05 (Show Source):
You can put this solution on YOUR website!
y%2B%281%2F2%29x=3
To find the x-intercept, set y=0 and solve for x.
y%2B%281%2F2%29x=3
0%2B%281%2F2%29x=3
%281%2F2%29x=3
x=6
(6,0)
.
.
.
To find the y-intercept, set x=0 and solve for y.
y%2B%281%2F2%29x=3
y%2B0=3
y=3
(0,3)
.
.
.
Plot the points and connect them with a line that goes through both points.
.
.
.


Systems-of-equations/358519: find the product
(1/2x + 4)(1/2x - 4)(4x - 8)
1 solutions

Answer 255948 by Fombitz(13828) About Me  on 2010-10-19 16:15:45 (Show Source):


Radicals/358618: please help me i am lost

Use rational exponents to write x^1/7 * y^1/5 * z^1/4 as a single radical expression
1 solutions

Answer 255945 by Fombitz(13828) About Me  on 2010-10-19 16:12:17 (Show Source):
You can put this solution on YOUR website!
Find a common denominator, 7%2A5%2A4=140
%281%2F7%29=%2820%2F140%29
%281%2F5%29=%2828%2F140%29
%281%2F4%29=%2835%2F140%29
.
.
.
x%5E%281%2F7%29y%5E%281%2F5%29z%5E%281%2F4%29=root%28140%2C%28x%5E20y%5E28z%5E35%29%29


test/358606: 2x+9. x+3
------- +. --------
X^2+6x+8 X^2+2x-8

1 solutions

Answer 255944 by Fombitz(13828) About Me  on 2010-10-19 16:09:45 (Show Source):
You can put this solution on YOUR website!
Find a common denominator.
x%5E2%2B6x%2B8=%28x%2B2%29%28x%2B4%29
x%5E2%2B2x-8=%28x-2%29%28x%2B4%29
LCD=%28x%2B2%29%28x-2%29%28x%2B4%29





Polynomials-and-rational-expressions/358614: please help me
Factor completely
+45r%5E2%2B150rg%2B125g%5E2+
1 solutions

Answer 255941 by Fombitz(13828) About Me  on 2010-10-19 16:05:06 (Show Source):


Travel_Word_Problems/358590: A family takes a car trip. They travel for an hour at 90 km/h and then for two hours at 40km/h Find their average speed during the trip
1 solutions

Answer 255938 by Fombitz(13828) About Me  on 2010-10-19 16:03:27 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
D%5B1%5D=90%2A1=90km
D%5B2%5D=40%2A2=80km
Average speed is total distance divided by total time.
V%5Bave%5D=%2890%2B80%29%2F%281%2B2%29=170%2F3km/hr or approximately,
V%5Bave%5D=56.7km/hr


Exponents/358607: Multiply and simplify
64b^2 / 2b^2-4b+2 *2b-2 / 8b)



"type exponential notation with positive exponents"

very confused please help
1 solutions

Answer 255936 by Fombitz(13828) About Me  on 2010-10-19 16:01:27 (Show Source):
You can put this solution on YOUR website!
I'm confused too. Please use parentheses.
Here's my guess.




Average/358610: Your average (arithmetic mean) score on four exams is 82. If your professor drops the lowest exam score then your average will be 86. What was your lowest score?
1 solutions

Answer 255934 by Fombitz(13828) About Me  on 2010-10-19 15:57:18 (Show Source):
You can put this solution on YOUR website!
Let the score be A,B,C,D in order.
%28A%2BB%2BC%2BD%29%2F4=82
A%2BB%2BC%2BD=328
.
.
%28B%2BC%2BD%29%2F3=86
B%2BC%2BD=258
.
.
%28A%2BB%2BC%2BD%29-%28B%2BC%2BD%29=328-258
highlight%28A=70%29


test/358609: Change a decimal to a fraction .23
1 solutions

Answer 255931 by Fombitz(13828) About Me  on 2010-10-19 15:53:29 (Show Source):


Square-cubic-other-roots/358593: 7c^2-5/c-1
1 solutions

Answer 255930 by Fombitz(13828) About Me  on 2010-10-19 15:52:53 (Show Source):
You can put this solution on YOUR website!

         7c + 7
        __________________________
c - 1  | 7c^2 +  0c - 5
      - (7c^2 -  7c)
       ----------------
                 7c - 5
             -  (7c - 7)
                --------------
                      2

.
.
Use polynomial long division,
.
.
%287c%5E2-5%29%2F%28c-1%29=%287c%2B7%29%2B2%2F%28c-1%29


Probability-and-statistics/358602: Suppose the amount of time it takes a popcorn kernel to pop is normally distributed with a mean of 150 seconds and a standard deviation of 15 seconds. If a popcorn kernal is randomly selected, what is the probability that it takes between 130 seconds to 170 seconds for the kernal to pop?
1 solutions

Answer 255928 by Fombitz(13828) About Me  on 2010-10-19 15:48:52 (Show Source):
You can put this solution on YOUR website!
Use the z-score.
z=%28x-mu%29%2Fsigma
z%5B1%5D=%28130-150%29%2F15
z%5B2%5D=%28170-150%29%2F15
Then find P%28z%5B1%5D%29 and P%28z%5B2%5D%29.
.
.
.
P%28130%3Cx%3C170%29=P%28z%5B2%5D%29-P%28z%5B1%5D%29


Radicals/358580: rationalize each denominator
+%28sqrt%287%29%2Bsqrt%285%29%29%2F%28sqrt%285%29%2Bsqrt%282%29%29+
1 solutions

Answer 255925 by Fombitz(13828) About Me  on 2010-10-19 15:45:08 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Question 358577 in Radicals:


Radicals/358577: +%28sqrt%287%29%2Bsqrt%285%29%29%2F%28sqrt%285%29%2Bsqrt%282%29%29+
1 solutions

Answer 255923 by Fombitz(13828) About Me  on 2010-10-19 15:44:41 (Show Source):


Rational-functions/358591: i need help solving 4[p(x)-2[h(3)] if p(x)=2x-4 & h(x)=x^2+5
and please tell me how you solved it!
1 solutions

Answer 255920 by Fombitz(13828) About Me  on 2010-10-19 15:39:30 (Show Source):


Linear-equations/358592: Different ways of getting 3x+2y=10? I got x=2 y=2 for example.
1 solutions

Answer 255916 by Fombitz(13828) About Me  on 2010-10-19 15:37:04 (Show Source):
You can put this solution on YOUR website!
There's an infinite number of (x,y) solutions.
3x%2B2y=10
2y=-3x%2B10
y=-%283%2F2%29x%2B5
Pick any x, stick it in the formula to generate the y to solve the equation.
(0,5)
(2,2)
(-2,8)
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Linear_Algebra/358553: Find the equation of the parabola passing through the given points (1,3)(2,3)(3,5). Show the system of equations containing the 3 points and then solve for the constants, a,b,and c. Then, show the standard form equation of the parabola.
1 solutions

Answer 255915 by Fombitz(13828) About Me  on 2010-10-19 15:34:02 (Show Source):
You can put this solution on YOUR website!
Since (1,3) and (2,3) share a y-value, they are on opposite sides of the vertex.
The x coordinate of the vertex is %281%2B2%29%2F2=3%2F2
Use the vertex form,
y=a%28x-h%29%5E2%2Bk
y=a%28x-3%2F2%29%5E2%2Bk
Use your points to solve for a and k.
3=a%281-3%2F2%29%5E2%2Bk
3=a%281%2F4%29%2Bk
1.a%2B4k=12
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5=a%283-3%2F2%29%5E2%2Bk
5=a%289%2F4%29%2Bk
2.9a%2B4k=20
Subtract eq. 1 from eq. 2,
9a%2B4k-a-4k=20-12
8a=8
highlight_green%28a=1%29
Then use either equation to solve for k.
1%2B4k=12
4k=11
highlight_green%28k=11%2F4%29
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y=a%28x-3%2F2%29%5E2%2Bk
y=%28x-3%2F2%29%5E2%2B11%2F4
y=%28x%5E2-3x%2B9%2F4%29%2B11%2F4
highlight%28y=x%5E2-3x%2B5%29
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