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Graphs/354890: how do you sketch this piece equation in a graph?
---(1/3x-2, 3<3
y={
---(x-2, x>and equal to 3
1 solutions

Answer 253520 by Fombitz(13828) About Me  on 2010-10-11 19:55:11 (Show Source):
You can put this solution on YOUR website!
Choose your range.
How about (-5,5).
Solve for f%28-5%29,f%283%29 left, f%283%29 right, f%285%29.
f%28-5%29=%281%2F3%29%28-5%29-2=-5%2F3-2=-5%2F3-6%2F3=-11%2F3
f%283%29left=%281%2F3%29%283%29-2=1-2=-1
f%283%29right=3-2=1
f%285%29=5-2=3
Now plot the points and connect them with straight lines.
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.
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logarithm/354826: I need help, step by step on how to solve ln (x +7) + ln (x + 3) = ln 77
1 solutions

Answer 253515 by Fombitz(13828) About Me  on 2010-10-11 19:41:06 (Show Source):
You can put this solution on YOUR website!
+ln%28x+%2B7%29+%2B+ln%28x+%2B+3%29+=+ln%2877%29
+ln%28%28x+%2B7%29%28x+%2B+3%29%29+=+ln%2877%29
%28x+%2B7%29%28x+%2B+3%29+=+77
x%5E2%2B3x%2B7x%2B21=77
x%5E2%2B10x%2B21=77
x%5E2%2B10x=56
x%5E2%2B10x%2B25=56%2B25
%28x%2B5%29%5E2=81
x%2B5=0+%2B-+9
x=5+%2B-+9
x1=14 and x2=-4
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.
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However since ln%28-4%2B3%29=ln%28-1%29 is undefined, only highlight%28x=14%29 is a valid solution.


Exponents/354881: Simplify the expression:
(-z)^3(3z^4)
1 solutions

Answer 253511 by Fombitz(13828) About Me  on 2010-10-11 19:35:56 (Show Source):


Linear_Equations_And_Systems_Word_Problems/354876: A dehydrated patient needs a 6.4% saline IV. Unfortunately, the hospital only has bags of 6% and 8% saline solutions. How many liters of each of these solutions should be mixed together to yield 1 liter of the desired concentration?
1 solutions

Answer 253510 by Fombitz(13828) About Me  on 2010-10-11 19:34:58 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 6% solution, B the amount of 8% solution.
1.A%2BB=1
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.
.
6A%2B8B=6.8%281%29
2.3A%2B4B=3.4
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Multiply eq. 1 by -3 and add to eq. 2 to eliminate x.
-3A-3B%2B3A%2B4B=-3%2B3.4
highlight%28B=0.4%29 or 400 ml
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.
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A%2B0.4=1
highlight%28A=0.6%29liter or 600ml


Miscellaneous_Word_Problems/354828: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours. How quickly can all three fill the pool together?
1 solutions

Answer 253508 by Fombitz(13828) About Me  on 2010-10-11 19:28:00 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Output
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.
Let P be the output required to fill the pool.
Find each person's rate.
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.
Jim:R%5Bj%5D%2A30=P
R%5Bj%5D=P%2F30
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Sue:R%5Bs%5D%2A45=P
R%5Bs%5D=P%2F45
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.
.
Tony:R%5Bt%5D%2A90=P
R%5Bt%5D=P%2F90
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.
Their output all together,
%28R%5Bj%5D%2BR%5Bs%5D%2BR%5Bt%5D%29%2At=P
Substituting,
%28P%2F30%2BP%2F45%2BP%2F90%29%2At=P
%283%2F90%2B2%2F45%2B1%2F90%29%2At=1
%286%2F90%29%2At=1
highlight%28t=15%29 minutes.


Miscellaneous_Word_Problems/354822: The average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?
1 solutions

Answer 253504 by Fombitz(13828) About Me  on 2010-10-11 19:21:28 (Show Source):
You can put this solution on YOUR website!
Let the remaining number be R.
%28R%2BZ%2BY%29%2F3=V
R%2BZ%2BY=3V
highlight%28R=3V-Z-Y%29


Probability-and-statistics/354832: 256 is the answer but the base is 4

1 solutions

Answer 253503 by Fombitz(13828) About Me  on 2010-10-11 19:20:08 (Show Source):


Graphs/354840: Graph the solution set.
2x+5y ≥ 10
1 solutions

Answer 253502 by Fombitz(13828) About Me  on 2010-10-11 19:19:31 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Plot Any Inequality
Graphing function 2x%2B5y%3E=10:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2B5y%3E=10+%29




Angles/354818: ray BD is the bisector of angle ABC. If measure angle ABD = 2x+14 and measure angle CBD = 5x-10, what is the measure of angle ABD?
1 solutions

Answer 253501 by Fombitz(13828) About Me  on 2010-10-11 19:18:25 (Show Source):
You can put this solution on YOUR website!
Since the angle is bisected.
ABD=CBD
2x%2B14=5x-10
3x=24
x=8
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.
.
ABD=CBD=2%288%29%2B14
ABD=CBD=16%2B14
highlight%28ABD=CBD=30%29


Equations/354872: (2/5) x G=-14 what is the value of g
1 solutions

Answer 253500 by Fombitz(13828) About Me  on 2010-10-11 19:16:13 (Show Source):
You can put this solution on YOUR website!
Mutliply both sides by the multiplicative inverse of (2/5) or (5/2).


Linear-systems/354850: solve the system using any algebraic method..
x+y=2
3x-2y=6
1 solutions

Answer 253499 by Fombitz(13828) About Me  on 2010-10-11 19:15:33 (Show Source):
You can put this solution on YOUR website!
Multiply eq. 1 by 2 and add the equations together to eliminate y.
2x%2B2y%2B3x-2y=4%2B6
5x=10
highlight%28x=2%29
Now use either equation to solve for y
2%2By=2
highlight%28y=0%29


Equations/354858: (-2,6),m= -1/3 graph, how to solve it
1 solutions

Answer 253496 by Fombitz(13828) About Me  on 2010-10-11 19:08:52 (Show Source):
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Use the slope, which is the change in y divided by the change in x.
m=%28DELTA%2Ay%29%2F%28DELTA%2Ax%29=-%281%2F3%29
Starting from (-2,6).
If you move 3 in the x, then using the slope you should move -1 in the y.
X:-2%2BDELTA%2Ax=-2%2B3=1
Y:6%2BDELTA%2Ay=6-1=5
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(1,5) is another point on the graph.
Plot the two points and connect them with the line.
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Triangles/354009: determine whether the 3 points given could be the vertices of a triangle.show why or why not.
s(6,5)
p(-8,3)
r(12,-1)
1 solutions

Answer 253076 by Fombitz(13828) About Me  on 2010-10-09 23:58:07 (Show Source):


Linear-equations/354054: graph the function f(x)=-5x
1 solutions

Answer 253074 by Fombitz(13828) About Me  on 2010-10-09 23:54:23 (Show Source):


Functions/353970: for f(x)= x^2-64 and g(x)= 2x+3, what is the domain of f-g?
1 solutions

Answer 253073 by Fombitz(13828) About Me  on 2010-10-09 23:53:21 (Show Source):
You can put this solution on YOUR website!
f%28x%29-g%28x%29=+x%5E2-64-%28+2x%2B3%29
f%28x%29-g%28x%29=+x%5E2-2x-67
There are no restrictions on the domain.
Domain:(-infinity,infinity)


Functions/353689: (g o f)(x):f(x)=-3x+2,g(x)=5X+7 i needto find the indicated composite for the pair of functions....really appreciate your time and help!
1 solutions

Answer 252890 by Fombitz(13828) About Me  on 2010-10-09 00:17:11 (Show Source):


Rational-functions/353701: 2/ 4-x + 5/x-4
1 solutions

Answer 252889 by Fombitz(13828) About Me  on 2010-10-09 00:14:49 (Show Source):


Travel_Word_Problems/353774: Two men start driving toward each other at the same time from points 816 km apart. If they travel at 64 kilometers per hour and 72 kilometers per hour, respectively, in how many hours will they meet?
1 solutions

Answer 252888 by Fombitz(13828) About Me  on 2010-10-09 00:12:03 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
64t=D%5B1%5D
72t=D%5B2%5D
D%5B1%5D%2BD%5B2%5D=816
64t%2B72t=816
136t=816
highlight%28t=6%29hrs.


Travel_Word_Problems/353776: Carlo starts out in his car traveling at 48 kilometers per hour. Two hours later, Paolo stars out from the same place at 60 kilometers per hour to overtake Carlo. In how many hours will Paulo overtake Carlo?
1 solutions

Answer 252887 by Fombitz(13828) About Me  on 2010-10-09 00:09:52 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
During the two hours, Carlo travels 48%282%29=96 km.
D%5Bc%5D=48%2At%2B96
D%5Bp%5D=60%2At
Find t when D%5Bc%5D=D%5Bp%5D
48t%2B96=60t
28t=96%7D%7D%0D%0A%7B%7B%7Bhighlight%28t=24%2F7%29 hrs.


Unit_Conversion_Word_Problems/353727: What does a giant sequoia tree weigh? Model the tree as a (very elongated) cone. Assume that the tree is 360 ft high, has a circumference of 37 ft at the base, and that the density of the wood is 31 lb/ft3. (Round your answer to the nearest lb. The volume of a cone of height h and radius r is1/3 πr2h.

1 solutions

Answer 252886 by Fombitz(13828) About Me  on 2010-10-09 00:07:14 (Show Source):
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C=2%2Api%2AR
R=C%2F%282%2Api%29=37%2F%282%2Api%29=5.89ft
.
.
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W=rho%2AV
W=31%2A%28pi%2F3%29%2A%285.89%29%5E2%2A360
Complete the calculation to get the weight in lbs.


Probability-and-statistics/353766: one of the factors fo 48 is chosen at random. what is the probability that the chosen factor is not a multiple of 4?
1 solutions

Answer 252876 by Fombitz(13828) About Me  on 2010-10-08 22:44:26 (Show Source):
You can put this solution on YOUR website!
Let's look at all of the factors of +48
1,48
2,24
3,16
4,12
6,8
Of those 10, 1,2,3, and 6 are not multiples of 4.
P=4%2F10=2%2F5


Mixture_Word_Problems/353765: .............Lead....Zink....Copper
Alloy A..40%...30%...30%
Alloy B..20%...30%...50%
Alloy C..........10%...90%
How many grams of each alloys A, B, and C must be mixed to get 325g of an alloy that is 15.2% lead, 37.2% zink, and 47.6% copper?
I've tried this using the Matrix, and the inverse Matrix, and keep coming up with negitives on some alloys.
Thanks for your help.
Neil
1 solutions

Answer 252874 by Fombitz(13828) About Me  on 2010-10-08 22:40:16 (Show Source):
You can put this solution on YOUR website!
Let X be the amount of alloy A, Y alloy B, Z alloy C.
.
.
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Lead:40X%2B20Y%2B0Z=15.2%28X%2BY%2BZ%29=15.2%28325%29=4940
Zinc:30X%2B30Y%2B10Z=37.2%28325%29=12090
Copper:30X%2B50Y%2B90Z=47.6%28325%29=15470
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Using matrix inversion,

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%28matrix%283%2C1%2CX%2CY%2CZ%29%29=%28matrix%283%2C1%2C-195%2C637%2C-117%29%29
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I get the same answer.
Something is up with the problem setup.


Probability-and-statistics/353733: Two students take a college entrance exam known to have a normal distribution of scores. The students receive raw scores of 63 and 93, which correspond to z scores (often called the standardized scores) of –1 and 1.5, respectively. Find the mean and standard deviation of the distribution of raw exam scores.

1 solutions

Answer 252869 by Fombitz(13828) About Me  on 2010-10-08 22:09:01 (Show Source):
You can put this solution on YOUR website!
z=%28x-mu%29%2Fsigma
-1=%2863-mu%29%2Fsigma
1.5=%2893-mu%29%2Fsigma
.
.
1.-sigma%2Bmu=63
2.1.5%2Asigma%2Bmu=93
Subtract eq. 1 from eq. 2,
1.5%2Asigma%2Bmu%2Bsigma-mu=93-63
2.5%2Asigma=30
highlight%28sigma=12%29
Then use either equation to solve for mu.
-12%2Bmu=63
highlight%28mu=75%29


Probability-and-statistics/353753: The lifetime of a color television is normally distributed with a mean of 7.8 years and a standard deviation of 3.1 years.
What is the probability that a TV will last more than 7.8 years?
What is the probability that a TV will last more than 10 years?
How many years should the warranty period be if they want to replace 1% of the TVs?
1 solutions

Answer 252866 by Fombitz(13828) About Me  on 2010-10-08 22:00:43 (Show Source):
You can put this solution on YOUR website!
DUPLICATE See Question 353660 from Probability-and-statistics




Linear-equations/353759: given the function k described by k(y+11)=
1 solutions

Answer 252865 by Fombitz(13828) About Me  on 2010-10-08 21:59:01 (Show Source):
You can put this solution on YOUR website!
k%28y%2B11%29=ky%2B11k
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Is that your question??


test/353738: X4 + 9
1 solutions

Answer 252864 by Fombitz(13828) About Me  on 2010-10-08 21:57:47 (Show Source):
You can put this solution on YOUR website!
What's the question?


Probability-and-statistics/353748: --------------- QUESTION FOLLOWS --------------------------
Construct a frequency distrubtion table to organize the following set of data:
109 114 111 109 109 106 110 114 114 112
111 110 114 114 110 113 114 105 107 107
1 solutions

Answer 252863 by Fombitz(13828) About Me  on 2010-10-08 21:57:21 (Show Source):
You can put this solution on YOUR website!
105:X
106:X
107:XX
108:
109:XXX
110:XXX
111:XX
112:X
113:X
114:XXXXXX


Probability-and-statistics/353756: two cards are randomnly selected from 52 card deck. what is the probability that the draw will yield an ace and a face card
1 solutions

Answer 252861 by Fombitz(13828) About Me  on 2010-10-08 21:54:40 (Show Source):
You can put this solution on YOUR website!
P(ace)=4%2F52
P(face)=12%2F51=4%2F17
P(ace and face)=%281%2F13%29%284%2F17%29=4%2F221


Polynomials-and-rational-expressions/353680: two expressions in each problem are..........?
1 solutions

Answer 252799 by Fombitz(13828) About Me  on 2010-10-08 16:09:07 (Show Source):
You can put this solution on YOUR website!
...better than one???
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What's the question?


Travel_Word_Problems/353675: A boat traveled 208 miles downstream and back. The trip downstream took 8 hours. The trip back took 26 hours. What is the speed of the boat in still water? What is the speed of the current?
1 solutions

Answer 252798 by Fombitz(13828) About Me  on 2010-10-08 16:02:28 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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Let the boat speed in still water be B, the current speed C.
Downstream:
%28B%2BC%29%2A8=208
1.B%2BC=208%2F8=26
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Upstream:
%28B-C%29%2A26=208
2.B-C=8
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Add eq. 1 and eq. 2,
B%2BC%2BB-C=26%2B8
2B=34
highlight%28B=17%29mph
Then use either equation to solve for C.
17%2BC=26
highlight%28C=9%29mph


Polynomials-and-rational-expressions/353676: subtract polynomials: (-8w^2+4w+3)-(7w^2+3)
This is what I have so far....I just need to know if i'm on the right track and if I got the right answer Please help!!!!
-8w^2+4w+3
- 7w^2+0w+3
=-15w^2+4w.....is this the right answer???
1 solutions

Answer 252797 by Fombitz(13828) About Me  on 2010-10-08 15:59:08 (Show Source):
You can put this solution on YOUR website!
Correct, well done!