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Expressions-with-variables/624946: SHORT ANSWER! Simplify the expression: and Express in terms of i
sqrt of -64
1 solutions

Answer 393197 by Alan3354(31528) About Me  on 2012-06-30 17:23:06 (Show Source):
You can put this solution on YOUR website!
SHORT ANSWER! Simplify the expression: and Express in terms of i
sqrt of -64
----------
Short answer:


Expressions-with-variables/624945: COMPLEX expressions, ADD and Simplify.
(-5.2-5.3i) + (-8.5 + 6.9i)

My solution Answer is: -13.7 + 1.6i ( am I correct? )
1 solutions

Answer 393196 by Alan3354(31528) About Me  on 2012-06-30 17:13:17 (Show Source):
You can put this solution on YOUR website!
That's correct.


Polynomials-and-rational-expressions/624936: Please someone help me with this problem: If a stone is tossed from the top of a 170 meter building, the height of the stone as a function of time is given by h(t) = -9.8ft^2 - 10t + 170.
where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundreth place, include units in your answer.
1 solutions

Answer 393194 by Alan3354(31528) About Me  on 2012-06-30 16:53:01 (Show Source):
You can put this solution on YOUR website!
Please someone help me with this problem: If a stone is tossed from the top of a 170 meter building, the height of the stone as a function of time is given by h(t) = -9.8ft^2 - 10t + 170.
------------
I think you mean
h(t) = -4.9t^2 - 10t + 170 (on Earth)
The -10t means it's tossed downward.
check that, repost


Linear-systems/624888: What would be the solution and answer for this equation?
4x+3y=26
y=3x
y+5x=15
8y+5x=20
3y-9x=-18
y-3x=-3
x=4
22=y+2x
1 solutions

Answer 393193 by Alan3354(31528) About Me  on 2012-06-30 16:41:35 (Show Source):
You can put this solution on YOUR website!
What would be the solution and answer for this equation?
4x+3y=26
y=3x
y+5x=15
8y+5x=20
3y-9x=-18
y-3x=-3
x=4
22=y+2x
----------
Is that one problem?


Polynomials-and-rational-expressions/624934: Please someone help me with this problem : In solving the equation (x+3)(x-3)- 8, Eric stated that the solution would be
x + 3 - -8 - 7x = -11
or
(x - 3) = -8 =7x = -5
However, at least one of these solutions fails to work when substituted bach into the original equation. Why is that? Please help Eric solve the problem
1 solutions

Answer 393192 by Alan3354(31528) About Me  on 2012-06-30 16:40:15 (Show Source):
You can put this solution on YOUR website!
Please someone help me with this problem : In solving the equation (x+3)(x-3)- 8, Eric stated that the solution would be
x + 3 - -8 - 7x = -11
or
(x - 3) = -8 =7x = -5
However, at least one of these solutions fails to work when substituted bach into the original equation. Why is that?
====================
In solving the equation (x+3)(x-3)- 8,
That's not an equation, there's no equal sign.
-----
I can't figure out what you mean.
Try again.


Metalworking/624821: An aluminum piston 4 in. in diameter that moves in the cylinder of a cast iron engine block must have a clearance diameter of 0.003 in. when hot. The temperature rises from 70 degrees to 160 degrees Farenheit. What should the clearance between the bore diameter and the piston be if the linear coefficient of expansion per unit length (inch) per degree Farenheit is 0.0000124 for aluminum and 0.00000655 for cast iron when the temperature is 70 degrees F?
Thank you, in advance for your time and attention to this matter.
Mary Miller
1 solutions

Answer 393188 by Alan3354(31528) About Me  on 2012-06-30 16:18:31 (Show Source):
You can put this solution on YOUR website!
An aluminum piston 4 in. in diameter that moves in the cylinder of a cast iron engine block must have a clearance diameter of 0.003 in. when hot. The temperature rises from 70 degrees to 160 degrees Farenheit. What should the clearance between the bore diameter and the piston be if the linear coefficient of expansion per unit length (inch) per degree Farenheit is 0.0000124 for aluminum and 0.00000655 for cast iron when the temperature is 70 degrees F?
----------------
Al: alpha = 1.24E-5
FE: alpha = 6.55E-6
------
If the Al piston is 4 in diameter at 70F:
Its diameter at 160F = 4 + (160-70)*4*1.24E-5
= 4 + 446.4E-5 = 4 + 4.465E-3
= 4.004465 inches
--------------
If the bore is 4.003 at 70F, it changes to:
4.003 + 4.003*90*6.55E-6
= 4.003 + 2359.8E-6 = 4.003 + 2.36E-3
= 4.00536 inches
----------------
4.00536 - 4.004465 = 0.000895", less than 1/1000 of an inch.
------------------
In reality, the expansion of the bore hole in the solid block is more complex. The iron expands to make the bore larger, but the surrounding structure also contributes to "squeezing" the hole, so it's not a linear function.


Linear-equations/624891: Find the slope-intercept form for the line satisfying the following conditions.
x=3, y=2/5
1 solutions

Answer 393186 by Alan3354(31528) About Me  on 2012-06-30 16:07:22 (Show Source):
You can put this solution on YOUR website!
Find the slope-intercept form for the line satisfying the following conditions.
x=3, y=2/5
------------
That has to be 2 lines, or 1 point.
Either way, your question has no answer.


Average/624920: Find the largest of 2 consecutive integers whose sum is 214
1 solutions

Answer 393179 by Alan3354(31528) About Me  on 2012-06-30 15:05:40 (Show Source):
You can put this solution on YOUR website!
Find the largest of 2 consecutive integers whose sum is 214
==============
106 + 107 = 213
107 + 108 = 215
See a problem?


test/624923: reduce de fraction to the lower form
1 solutions

Answer 393178 by Alan3354(31528) About Me  on 2012-06-30 15:04:26 (Show Source):
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reduce de fraction to the lower form
========
OK


test/624922: i
1 solutions

Answer 393177 by Alan3354(31528) About Me  on 2012-06-30 15:03:53 (Show Source):


Average/624917: If I have completed y assignments with an average score of z what score x do I need on the y+1 assignment in order to achieve an average score of a?

1 solutions

Answer 393172 by Alan3354(31528) About Me  on 2012-06-30 14:49:38 (Show Source):
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If I have completed y assignments with an average score of z what score x do I need on the y+1 assignment in order to achieve an average score of a?
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a*(y+1) = (y*z + Score)/(y+1)
Score+=+a%2A%28y%2B1%29%5E2+-+y%2Az


Polynomials-and-rational-expressions/624904: (x+2z)(2x+z)..??
How to solve the given above problem using (a+b)(a-b) identity and 4ab=(a+b)^2 - (a-b)^2 identity...??

1 solutions

Answer 393157 by Alan3354(31528) About Me  on 2012-06-30 13:25:21 (Show Source):
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(x+2z)(2x+z)..??
How to solve the given above problem using (a+b)(a-b) identity and 4ab=(a+b)^2 - (a-b)^2 identity...??
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There's nothing to solve. Equations are solved.
----
(x+2z)(2x+z)..??
= x*(2x+z) + 2z*(2x+z)
= 2x%5E2+%2B+xz+%2B+4xz+%2B+2z%5E2
= 2x%5E2+%2B+5xz+%2B+2z%5E2
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How to solve the given above problem using (a+b)(a-b) identity and 4ab=(a+b)^2 - (a-b)^2 identity...??
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(x+2z)(2x+z) is not a sum and difference, like (a+b)(a-b)


Age_Word_Problems/624847: 200(2)/(7)g of gold is distributed equally amongst three surviving daughters of Mrs. rosemary. If the eldest daughter expected to bequeth 100g of gold, how much less gold does she recieve short of her expectations
1 solutions

Answer 393128 by Alan3354(31528) About Me  on 2012-06-30 11:10:43 (Show Source):
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200(2)/(7)g of gold
----------
How much is that? 400/7 ?


Linear-equations/624818: simplify.
If a quotient is undefined, state this. 0/-10 divided by -3/8
1 solutions

Answer 393118 by Alan3354(31528) About Me  on 2012-06-30 09:29:43 (Show Source):
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0/-10 divided by -3/8
-----
= (0/-10)*(8/-3) = 0


Unit_Conversion_Word_Problems/624829: If a plane was traveling the speed of light at 3×10 8 m/sec, how long (days) would the plane require to circumnavigate the Earth (diameter= 4.18×10 7 ft) ? How long would the plane require in microseconds? I need help setting up the problem
1 solutions

Answer 393116 by Alan3354(31528) About Me  on 2012-06-30 09:22:51 (Show Source):
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If a plane was traveling the speed of light at 3×10 8 m/sec, how long (days) would the plane require to circumnavigate the Earth (diameter= 4.18×10 7 ft) ?
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Change meters to feet
1 meter = 3.21 feet
----
c = 3E8*3.21 = 9.63E8 ft/sec
d = r*t
d = 4.18E7*pi feet
d =~ 13.14E7 ft = 1.314E8 feet
t = d/r = 1.314E8/9.63E8 =~ 0.136 sec
= 1.36E-1 seconds
1 day = 86400 seconds
--> 1.36E-1/86400 days
=~ 1.5783E-6 days
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How long would the plane require in microseconds?
1.36E-1 seconds
= 1.36E5 usecs
= 136,000 usecs


Travel_Word_Problems/624827: 1.An object moves along a straight with an acceleration of 2m/s2.If its initial speed is 10m/s,what will be its speed 5s later?
2.An object dropped from a cliff falls with a constant acceleration of 10m/s2. Find its speed 2 s after it was dropped?
1 solutions

Answer 393113 by Alan3354(31528) About Me  on 2012-06-30 09:17:32 (Show Source):
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1.An object moves along a straight with an acceleration of 2m/s2.If its initial speed is 10m/s,what will be its speed 5s later?
v = 10 + 2*5 = 20 m/sec
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2.An object dropped from a cliff falls with a constant acceleration of 10m/s2. Find its speed 2 s after it was dropped?
= 10*2 = 20 m/sec


Triangles/624837: What is the height of a triangle with a base of 100in and the legs are 6 and 8 inches?
1 solutions

Answer 393112 by Alan3354(31528) About Me  on 2012-06-30 09:15:52 (Show Source):
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What is the height of a triangle with a base of 100in and the legs are 6 and 8 inches?
----------------
It's not possible to have a triangle with sides of 6, 8 & 100


Linear-systems/624855: how to use elimination method and substitution methods
1 solutions

Answer 393105 by Alan3354(31528) About Me  on 2012-06-30 08:47:45 (Show Source):
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how to use elimination method and substitution methods
================
Here's substitution:
method of usbstitution
1:a=5-2b
5a+2b=1
Sub for a in the 2nd eqn
5(5-2b) + 2b = 1
25-10b + 2b = 1
-8b = -24
b = 3
-----
a = 5-2b
a = -1
--------
2: 2m+n=0
m+2n=3
Solve either eqn for either m or n:
m+2n=3 --> m = 3-2n
Then it's the same as #1
========================
3 to 7 are the same as #2
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3: x+y=4
2x-y=5
4: y-2x=1
3x-4y=1
5: a-2b=9
2a+3b=4
6: x+2y=7
3x-2y=3
7: 2a+b=9
3a-2b=11


Systems-of-equations/624841: method of usbstitution
1:a=5-2b
5a+2b=1
2: 2m+n=0
m+2n=3
3: x+y=4
2x-y=5
4: y-2x=1
3x-4y=1
5: a-2b=9
2a+3b=4
6: x+2y=7
3x-2y=3
7: 2a+b=9
3a-2b=11
1 solutions

Answer 393104 by Alan3354(31528) About Me  on 2012-06-30 08:46:32 (Show Source):
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method of usbstitution
1:a=5-2b
5a+2b=1
Sub for a in the 2nd eqn
5(5-2b) + 2b = 1
25-10b + 2b = 1
-8b = -24
b = 3
-----
a = 5-2b
a = -1
--------
2: 2m+n=0
m+2n=3
Solve either eqn for either m or n:
m+2n=3 --> m = 3-2n
Then it's the same as #1
========================
3 to 7 are the same as #2
-----
3: x+y=4
2x-y=5
4: y-2x=1
3x-4y=1
5: a-2b=9
2a+3b=4
6: x+2y=7
3x-2y=3
7: 2a+b=9
3a-2b=11


Linear-equations/624853: Find the slope and y-intercept of the line that passes through(-4,-8) &(-3,-2)
Please show work
I would really appreciate any help I can get with this problem, Ijust dont understand this slope stuff at all. Please help me!!!!
1 solutions

Answer 393099 by Alan3354(31528) About Me  on 2012-06-30 08:16:00 (Show Source):
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Find the slope and y-intercept of the line that passes through(-4,-8) &(-3,-2)
Please show work
-----------
Find the slope first.
Slope, m = diffy/diffx
m = 6/1 = 6
-------------
Use y = mx + b and the point to find b, the y-intercept
-8 = 6*(-4) + b
b = 16 or (0,16)
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Matrices-and-determiminant/624836: Use the determinant to find the area of the triangle with the following vertices:
(-3,1)
(1,-3)
(2,3)
I know the area should be positive, but I'm still confused.
1 solutions

Answer 393098 by Alan3354(31528) About Me  on 2012-06-30 07:53:20 (Show Source):
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Use the determinant to find the area of the triangle with the following vertices:
A (-3,1)
B (1,-3)
C (2,3)
-------
A_B_C_A
-3 +1 +2 -3
+1 -3 +3 +1
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Add the diagonals starting at the upper left
= 9 + 3 + 2 = 14
--------
Add the diagonals starting at the lower left
= 1 - 6 - 9 = -16
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The absolute value of the difference = 30
Area = 30/2 = 15 sq units


Linear-equations/624852: Find the slope and y-intercept of the line in the equation y=3/4x-2

I would really appreciate any help I can get with this problem, Ijust dont understand this slope stuff at all. Please help me!!!!
1 solutions

Answer 393097 by Alan3354(31528) About Me  on 2012-06-30 07:45:13 (Show Source):
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Find the slope and y-intercept of the line in the equation y=3/4x-2
-----------
Slope is the coefficient of x.
m = 3/4
-----
the y-int = -2


Expressions-with-variables/624819: Solve D = ABC for A .
1 solutions

Answer 393073 by Alan3354(31528) About Me  on 2012-06-29 21:26:38 (Show Source):
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Solve D = ABC for A .
---------
A = D/BC


Signed-numbers/624791: I am teaching myself with a workbook and am stuck.
Problem is 490 divided by negative 15.
I don't understand the process of coming up with the answer. negative 32.7
I don't understand how to write out the problem and come up with a decimal point.
1 solutions

Answer 393065 by Alan3354(31528) About Me  on 2012-06-29 19:35:39 (Show Source):
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Problem is 490 divided by negative 15.
I don't understand the process of coming up with the answer. negative 32.7
I don't understand how to write out the problem and come up with a decimal
------------
490/(-15)
The result will be negative, right?
= - (490/15)
= - (98/3)
---------
98/3 = 32.666.... repeating 6's
--> 32.7
--------
Or 32.67, or 32.666667


Rational-functions/624765: Choose from the following functions: g (x) -sqrt x
How do I find the function and what is the description of transformation? Points on graph are (1,2), (2,3),(5,4), (10,5), and (17, 6).
1 solutions

Answer 393062 by Alan3354(31528) About Me  on 2012-06-29 18:58:53 (Show Source):
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Choose from the following functions: g (x) -sqrt x
How do I find the function and what is the description of transformation? Points on graph are (1,2), (2,3),(5,4), (10,5), and (17, 6).
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Hint: the change in y values is 1.
the change in x values increases by 2: 1, 3, 5, 7...


Exponential-and-logarithmic-functions/624788: express log in terms of ln 5 and ln 7
ln (1/25)

1 solutions

Answer 393061 by Alan3354(31528) About Me  on 2012-06-29 18:48:55 (Show Source):
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express log in terms of ln 5 and ln 7
ln (1/25)
-------------
If you recognize that 25 = 5*5, then
ln%281%2F25%29+=+ln%285%5E-2%29
= -2*ln(5)
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ln(7) is not involved, just thrown in to cause confusion.


Polynomials-and-rational-expressions/624638: what is the sum ad difference of this: m(cube)-(m+3)(cube)
1 solutions

Answer 393060 by Alan3354(31528) About Me  on 2012-06-29 18:46:18 (Show Source):
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what is the sum ad difference of this: m(cube)-(m+3)(cube)
---------
Not a good question.
If you want to factor it, say so.


Graphs/624718: The speed of a stream is 4 mph. If a boat travels 46 miles downstream in the same time that it takes to travel 23 miles upstream, what is the speed of the boat in still water?
1 solutions

Answer 393059 by Alan3354(31528) About Me  on 2012-06-29 18:44:37 (Show Source):
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The speed of a stream is 4 mph. If a boat travels 46 miles downstream in the same time that it takes to travel 23 miles upstream, what is the speed of the boat in still water?
---------
b = boat's speed
----
b+4 = 2(b-4)
b = 12
any units


Unit_Conversion_Word_Problems/624787: To convert temperature from Fahrenheit to Celsius, we can use the formula
c=5/9(f-32)
where f is the temperature in Fahrenheit and c is the temperature in Celsius. Find a formula
for converting temperatures from Celsius to Fahrenheit. At what temperature(s) will Celsius and
Fahrenheit thermometers give the same reading?

1 solutions

Answer 393058 by Alan3354(31528) About Me  on 2012-06-29 18:42:48 (Show Source):
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To convert temperature from Fahrenheit to Celsius, we can use the formula
c=5/9(f-32)
where f is the temperature in Fahrenheit and c is the temperature in Celsius. Find a formula
for converting temperatures from Celsius to Fahrenheit. At what temperature(s) will Celsius and
Fahrenheit thermometers give the same reading?
---------------
F = 1.8C + 32
----------
-40F = -40C


Triangles/624712: A 30o-60o-right triangle is half of what other kind of triangle?
1 solutions

Answer 393057 by Alan3354(31528) About Me  on 2012-06-29 18:38:38 (Show Source):
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A 30o-60o-right triangle is half of what other kind of triangle?
-----------
An equilateral triange can be split into 2 30-60-90 triangles by the altitude from any vertex.


logarithm/624785: 2ln(x)^2= 3ln(x) -1. give answers in exact form
1 solutions

Answer 393056 by Alan3354(31528) About Me  on 2012-06-29 18:30:06 (Show Source):
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2ln(x)^2= 3ln(x) -1. give answers in exact form
Is it x^2? or (ln(x))^2 ?