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Exponential-and-logarithmic-functions/363634: e^-t = 0.04
1 solutions

Answer 259293 by Fombitz(13828) About Me  on 2010-10-29 15:16:39 (Show Source):
You can put this solution on YOUR website!
e%5E%28-t%29+=+0.04
-t=ln%280.04%29
t=-ln%280.04%29 or approximately,
highlight%28t=3.219%29


Exponents/363549: Factor Completly
40x^7+110x^6+25x^5
I got:
5x^5(8x^2+22x+5)
1 solutions

Answer 259254 by Fombitz(13828) About Me  on 2010-10-29 11:25:32 (Show Source):
You can put this solution on YOUR website!
40x%5E7%2B110x%5E6%2B25x%5E5=5x%5E5%288x%5E2%2B22x%2B5%29
That's a good first step but you can further factor the quadratic.
highlight%2840x%5E7%2B110x%5E6%2B25x%5E5=5x%5E5%284x%2B1%29%282x%2B5%29%29


Word_Problems_With_Coins/363542: A bag contains 208 coins made up of dollars, quarters, dimes & nickels. The total equals $77.10. How many of each type of coin are in the bag?
So far I have:
a=1.0, b=0.25, c=0.1, d=0.05
a+b+c+d=7
a+.25b+.1c+.05d=77.10
I have the answer through trial & error of 57 dollars, 56 quarters, 27 dimes & 68 nickels but can't figure out the complete system of equations to get me there.

1 solutions

Answer 259252 by Fombitz(13828) About Me  on 2010-10-29 11:23:39 (Show Source):
You can put this solution on YOUR website!
a%2Bb%2Bc%2Bd=7
Where'd the 7 come from??
.
.
.
Let X be the number of dollars, Q quarters, D dimes, and N nickels.
1.X%2BQ%2BD%2BN=208
2.100X%2B25Q%2B10D%2B5N=7710
From eq. 1,
100X=20800-100Q-100D-100N
Substituting,
20800-100Q-100D-100N%2B25Q%2B10D%2B5N=7710
75Q%2B90D%2B95N=13090
15Q%2B18D%2B19N=2618
Since you do not have any other equations, you have a Diophantine equation in three variables.
.
.
The procedure to solve it is not much different than trial and error so I'm not sure I'm adding much.
Here's a link to show you how to solve these type of equations if you're interested.
http://mathforum.org/library/drmath/view/61325.html


Square-cubic-other-roots/363548: Multiply
(5sqrt2+2)(5+sqrt10)
1 solutions

Answer 259251 by Fombitz(13828) About Me  on 2010-10-29 11:11:25 (Show Source):
You can put this solution on YOUR website!
Use the FOIL Method,

%285%2Asqrt%282%29%2B2%29%285%2Bsqrt%2810%29%29=25%2B10%2B7%2Asqrt%2810%29
highlight%28%285%2Asqrt%282%29%2B2%29%285%2Bsqrt%2810%29%29=35%2B7%2Asqrt%2810%29%29


test/363546: The diameter of apples in a certain orchard are normally distributed with a mean of 5.55 inches and a standard deviation of 0.65 inches. Show all work.
(A). What percentage of the apples in this orchard have diameters less than 5.8 inches?
(B). What percentage of the apples in this orchard are larger than 6.3 inches?
Could you explain the steps so I can understand?

1 solutions

Answer 259250 by Fombitz(13828) About Me  on 2010-10-29 11:08:45 (Show Source):
You can put this solution on YOUR website!
z%5B1%5D=%28x-mu%29%2Fsigma=%285.8-5.55%29%2F0.65=0.385
P%28z%5B1%5D%29=0.6497
65%
.
.
.
z%5B2%5D=%286.3-5.55%29%2F0.65=1.154
P%28z%5B2%5D%29=0.876
87.6% of apples have diameter less than or equal to 6.3.
100%-87.6%=12.4% have diameters greater than 6.3.
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.
.


Probability-and-statistics/363489: The diameter of apples in a certain orchard are normally distributed with a mean of 5.5 inches and a standard deviation of 0.65 inches. Show all work.
What percentage of the apple in this orchard have diameters less than 5.8 inches?

What percentage of the apples in this orchard are larger than 6.3 inches?



I can work the first part but I don't undersand how to get the second part. Can anyone show me what to do?
z(5.8) = (5.8 -5.55)/0.65 = 0.385
P(x < 5.8) = P(z < 0.385) = ?
1 solutions

Answer 259249 by Fombitz(13828) About Me  on 2010-10-29 11:06:25 (Show Source):
You can put this solution on YOUR website!
First, your z value is off (you used 5.55 instead of 5.5).
z%5B1%5D=%28x-mu%29%2Fsigma=%285.8-5.5%29%2F0.65=0.462
P%28z%5B1%5D%29=0.678
67.8%
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.
.
z%5B2%5D=%286.3-5.5%29%2F0.65=1.231
P%28z%5B2%5D%29=0.891
89.1% of apples have diameter less than or equal to 6.3.
100%-89.1%=10.9% have diameters greater than 6.3.
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Equations/363520: ∫(ln(x))/(√(x))
1 solutions

Answer 259246 by Fombitz(13828) About Me  on 2010-10-29 11:01:19 (Show Source):
You can put this solution on YOUR website!
Integrate by parts,
int%28u%2Cdv%29=uv-int%28v%2Cdu%29
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.
u=ln%28x%29, dv=dx%2Fsqrt%28x%29
du=dx%2Fx, v=2sqrt%28x%29
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Substituting,
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.

.
.

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.
int%28ln%28x%29%2Fsqrt%28x%29%2Cdx%29=2%2Aln%28x%29%2Asqrt%28x%29-4%2Asqrt%28x%29%2BC
.
.
highlight%28int%28ln%28x%29%2Fsqrt%28x%29%2Cdx%29=2%2Asqrt%28x%29%28ln%28x%29-2%29%2BC%29


Graphs/363524: How do you graph -5x+2y>10?? I believe it has to be shaded also.
1 solutions

Answer 259243 by Fombitz(13828) About Me  on 2010-10-29 10:55:02 (Show Source):
You can put this solution on YOUR website!
-5x%2B2y%3E10
2y%3E5x%2B10
y%3E%285%2F2%29x%2B5
.
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.
Plot the line y=%285%2F2%29x%2B5
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.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%285%2F2%29x%2B5%29
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.
.
Now choose a test point in either plane, not on the line.
(0,0) is a good choice.
Test the inequality.
If the inequality is satisfied, shade the region containing (0,0).
If not, shade the other region.
-5x%2B2y%3E10
-5%280%29%2B2%280%29%3E10
0%3E10
False, shade the region not containing (0,0)
.
.
.
Solved by pluggable solver: Plot Any Inequality
Graphing function -5x%2B2y%3E10:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-5x%2B2y%3E10+%29



Geometry_Word_Problems/363515: A sample of an alloy is in the shape of a solid sphere with a radius of 6.4cm. If this sphere is melted down and then cast into a cube, what is the length of an edge of the cube?
1 solutions

Answer 259207 by Fombitz(13828) About Me  on 2010-10-29 09:17:53 (Show Source):
You can put this solution on YOUR website!
The volume of a sphere is,
V%5Bs%5D=%284%2F3%29pi%2AR%5E3
The volume of a cube is,
V%5Bc%5D=s%5E3
The two volumes are equal.
s%5E3=%284%2F3%29pi%2AR%5E3
s=R%2Aroot%283%2C%284%2F3%29pi%29
highlight%28s=6.4%2Aroot%283%2C%284%2F3%29pi%29%29 or approximately,
s=10.3cm


Probability-and-statistics/363516: a box contains several slips of paper each slip is written an odd number between 2 and 10. without looking, you draw one slip of paper. what is the sample space for the experiment?
1 solutions

Answer 259206 by Fombitz(13828) About Me  on 2010-10-29 09:13:46 (Show Source):


Probability-and-statistics/363393: A set of 50 data values has a mean of 28 and a variance of 4.
I. Find the standard score (z) for a data value = 31.
II. Find the probability of a data value > 31.

1 solutions

Answer 259205 by Fombitz(13828) About Me  on 2010-10-29 09:13:12 (Show Source):
You can put this solution on YOUR website!
z=%28x-mu%29%2Fsigma
z%5B1%5D=%2831-28%29%2F4
.
.
.
Now using z%5B1%5D, find P%28z%5B1%5D%29
P%28z1%29=P%28x%3C=31%29
P%28x%3C=31%29%2BP%28x%3E31%29=1
P%28x%3E31%29=1-P%28x%3C=31%29
P%28x%3E31%29=1-P%28z%5B1%5D%29


Angles/363469: Morning Everyone,
Struggling on this particular question, on vectors and scalars, was just wondering if anybody could help.
a) Draw an xy plane and show the vectors a=2i+3j and b=5i+j (need not be to scale). By constructing the appropriate parrallelogram, draw the resultant vector in terms of i and j.
b) A particle P is acted upon by forces (measured in Newtons) F1= 3i-2j+5k F2= -i+7j-3k, F3= 5i-j+4k and F4 = -2j+3k. Show the magnitude of the resultant force F acting on P is sqrt134 Newtons.
Many thanks in advance for any help

1 solutions

Answer 259202 by Fombitz(13828) About Me  on 2010-10-29 09:09:32 (Show Source):
You can put this solution on YOUR website!
a)

.
.
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A=(2,3) :Blue
B=(5,1) :Black
A%2BB=(2%2B5,3%2B1)=(7,4) :Green
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b)
F%5B1%5D=(3,-2,5)
F%5B2%5D=(-1,7,-3)
F%5B3%5D=(5,-1,4)
F%5B4%5D=(0,-2,3)
F%5BR%5D=F%5B1%5D%2BF%5B2%5D%2BF%5B3%5D%2BF%5B4%5D=(3-1%2B5%2B0,-2%2B7-1-2,5-3%2B4%2B3)=(7,2,9)
abs%28F%5BR%5D%29=sqrt%287%5E2%2B2%5E2%2B9%5E2%29=sqrt%2849%2B4%2B81%29=sqrt%28134%29


Quadratic_Equations/363495: write the following quadratic function in the vertex form. then, identify the axis of symmetry and vertex: y=3x^2-6x+1
1 solutions

Answer 259197 by Fombitz(13828) About Me  on 2010-10-29 08:47:04 (Show Source):
You can put this solution on YOUR website!
Complete the square.
y=3x%5E2-6x%2B1
y=3%28x%5E2-2x%29%2B1
y=3%28x%5E2-2x%2B1%29%2B1-3
y=3%28x-1%29%5E2-2
The vertex is (1,-2).
The vertex lies on the axis of symmetry x=1.
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Exponents-negative-and-fractional/363498: whats 64 raised 2/3 power
1 solutions

Answer 259195 by Fombitz(13828) About Me  on 2010-10-29 08:43:28 (Show Source):


Quadratic_Equations/363499: write the expression in quadratic form. 3x^24+4x^12+7
1 solutions

Answer 259193 by Fombitz(13828) About Me  on 2010-10-29 08:41:07 (Show Source):


Complex_Numbers/363443: i want help on factorin numbers ?
1 solutions

Answer 259146 by Fombitz(13828) About Me  on 2010-10-28 23:46:20 (Show Source):
You can put this solution on YOUR website!
Do you have an example of what you need help on to narrow it down a bit??


Matrices-and-determiminant/363246: how do u construct a 3x3 square martix,A, where(the i and j are little letters to the bottem of the A) Aij=i^2+2j-3
1 solutions

Answer 259143 by Fombitz(13828) About Me  on 2010-10-28 23:37:45 (Show Source):


Probability-and-statistics/363254: how to calculate p=(-2.5820 < z < -2.0656)

1 solutions

Answer 259141 by Fombitz(13828) About Me  on 2010-10-28 23:33:40 (Show Source):
You can put this solution on YOUR website!
Find P%28-2.5820%29.
Find P%28-2.0656%29.
highlight%28P%28-2.5820+%3C+z+%3C+-2.0656%29=P%28-2.0656%29-+P%28-2.5820%29%29


Mixture_Word_Problems/363259: Moonshine has 50 liters of 70% alcohol solution. How many liters of pure alcohol must be added to obtain an 80% alcohol solution?
1 solutions

Answer 259139 by Fombitz(13828) About Me  on 2010-10-28 23:31:26 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 100% alcohol added.
100A%2B70%2850%29=80%28A%2B50%29
100A%2B3500=80A%2B4000
20A=500
highlight%28A=25%29liters


real-numbers/363295: 6.45 & 13/2 Find real number bewtween each pair of numbers
1 solutions

Answer 259138 by Fombitz(13828) About Me  on 2010-10-28 23:28:40 (Show Source):
You can put this solution on YOUR website!
13%2F2=6.5
A number between 6.45 and 6.5 could be highlight%286.46%29.


Trigonometry-basics/363270: If f on my graph is (-5, -2) (-3, -1) (2,1) (-1, 1) (0,0) (1, -1)
and g is (-3, -3) (-1, -3) (0,0) (2, -2) (3, 0) (4, -1)
what is (f-g)(-1)
1 solutions

Answer 259136 by Fombitz(13828) About Me  on 2010-10-28 23:27:30 (Show Source):


Polynomials-and-rational-expressions/363275: I am suppose to complete a tablee if the function f is odd
the x's are -8 -4 4 8
the f(X) are -6, ? -2 ?
The question marks are the blanks in the table.
Are the answers -4 and 0 correct??
1 solutions

Answer 259135 by Fombitz(13828) About Me  on 2010-10-28 23:26:01 (Show Source):
You can put this solution on YOUR website!
No, the function is odd so f%28-x%29=-f%28x%29
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.
f%288%29=-f%28-8%29=-%28-6%29=6
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f%28-4%29=-f%284%29=-%28-2%29=2


logarithm/363442: i do not know the correct steps to solve for x.
log sub 5 (5x-9)=4
1 solutions

Answer 259133 by Fombitz(13828) About Me  on 2010-10-28 23:23:44 (Show Source):


test/363294: Please help me solve this equation:
Explain why the following integrals are improper and determine whether they are
convergent or divergent. Evaluate those that are convergent.
a. +int+%28x%2Fsqrt%28x-1%29%2C+dx%2C+1%2C+2+%29+
b. +int+%28+1%2F+%281%2Bx%5E2%29%2C+dx%2C+-infinity%2C+infinity+%29+
c. +int+%28+xe%5E%28-3x%29%2C+dx%2C+0%2C+infinity+%29+
d. +int+%28+1%2F+%28xln%5E2x%29%2C+dx%2C+pi%2C+infinity+%29+
1 solutions

Answer 259132 by Fombitz(13828) About Me  on 2010-10-28 23:22:38 (Show Source):
You can put this solution on YOUR website!
a) Convergent,A=8%2F3
b) Convergent, A=pi
c) Convergent, A=1%2F9
d) Convergent, A=1%2Fln%28pi%29


Linear-equations/363304: Please help me solve 2y-5x+2=0
1 solutions

Answer 259130 by Fombitz(13828) About Me  on 2010-10-28 23:18:09 (Show Source):
You can put this solution on YOUR website!
2y=5x-2
y=%285%2F2%29x-1
It's the equation of a line.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C0%2C%285%2F2%29x-1%29


Mixture_Word_Problems/363312: How much water must be mixed with 5 pints of a solution that is 50% developer to produce a mixture
that is 37% developer?
1 solutions

Answer 259129 by Fombitz(13828) About Me  on 2010-10-28 23:16:58 (Show Source):
You can put this solution on YOUR website!
Water is a 0% solution.
Let X be the amount of water added.
0X%2B50%285%29=37%28X%2B5%29
250=37X%2B185
37X=65
highlight%28X=65%2F37%29 pints or approximately,
X=1.76pints


Functions/363397: If xy=0, what do you know about the location of point (x,y) on the coordinate plane? Explain.

1 solutions

Answer 259128 by Fombitz(13828) About Me  on 2010-10-28 23:12:44 (Show Source):
You can put this solution on YOUR website!
It lies either on the x-axis (y=0) or on the y-axis (x=0) or at the origin (0,0)


test/363406: 4x - 2y + xy,when x= -1 and y= 5
1 solutions

Answer 259127 by Fombitz(13828) About Me  on 2010-10-28 23:11:36 (Show Source):


Linear-equations/363425: y-x=17 y=4x+2
1 solutions

Answer 259125 by Fombitz(13828) About Me  on 2010-10-28 23:09:10 (Show Source):
You can put this solution on YOUR website!
1.y-x=17
2.y=4x%2B2
Substitute eq. 2 into eq. 1,
4x%2B2-x=17
3x%2B2=17
3x=15
highlight%28x=5%29
Then from eq. 2,
y=4%285%29%2B2
y=20%2B2
highlight%28y=22%29


Linear-equations/363427: x-y=7 0.5x+y=5
1 solutions

Answer 259124 by Fombitz(13828) About Me  on 2010-10-28 23:07:38 (Show Source):
You can put this solution on YOUR website!
Add the equations.
x-y%2B0.5x%2By=7%2B5
1.5x=12
highlight%28x=8%29
Now use either equation to solve for y.
8-y=7
highlight%28y=1%29


Probability-and-statistics/363433: If the regression equation is y^=2-0.4x, what is the value of y^ when x =-3?
1 solutions

Answer 259122 by Fombitz(13828) About Me  on 2010-10-28 23:06:12 (Show Source):