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Complex_Numbers/337116: Simplify: 1 + i/2 - i
1 solutions

Answer 241635 by Fombitz(13828) About Me  on 2010-08-31 11:03:05 (Show Source):


Graphs/336230: how to graph 3y+x=5?
this is what i did and what i got:
3y+x=5
-x -x
--------
3y=-x+5
(divide 3 on both sides of the equal sign)
y=-1/3x+5/3(my answer)
*now my question is: how do u graph that?
1 solutions

Answer 241634 by Fombitz(13828) About Me  on 2010-08-31 11:00:51 (Show Source):
You can put this solution on YOUR website!
The quicker way is to find the x and y intercepts and plot them.
To find the x-intercept, set y=0 and solve for x.
3y%2Bx=5
0%2Bx=5
x=5
(5,0)
Plot it.
.
.
.

.
.
.
To find the y-intercept, set x=0 and solve for y.
3y%2Bx=5
3y%2B0=5
3y=5
y=5%2F3
(0,5/3)
Plot it too.
.
.
.

.
.
.
Now connect the points with a line going through both of them.
.
.
.

.
.
.
The equation of the line that you found is correct,
highlight%28y=-%281%2F3%29x%2B5%2F3%29


Quadratic_Equations/337113: 25y^2 + 16 = 0
1 solutions

Answer 241633 by Fombitz(13828) About Me  on 2010-08-31 10:54:55 (Show Source):


Trigonometry-basics/337109: Write the standard form of the equation of a line for which the length of the normal is 6 and the normal makes an angle of 120 degrees with the positive x-axis
1 solutions

Answer 241632 by Fombitz(13828) About Me  on 2010-08-31 10:53:26 (Show Source):
You can put this solution on YOUR website!
Could you clarify your question?
The normal to the line should not have a length, just like the line itself, its length is unlimited.
Also, the normal to the line makes an angle of 120, not the line itself.


Inequalities/337111: Shureka has scores of 72, 67,82, and 79 on her algebra tests.
Use an inequality to find the scores she must make on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two test.
1 solutions

Answer 241631 by Fombitz(13828) About Me  on 2010-08-31 10:50:42 (Show Source):
You can put this solution on YOUR website!
Let X be the score on the last test.
%2872%2B67%2B82%2B79%2B2X%29%2F6%3E=77
300%2B2X%3E=462
2X%3E=162
X%3E=81


Inequalities/336223: please solve the solutions and write the solutions as a compound inequality: |x-6|-3>12
1 solutions

Answer 241630 by Fombitz(13828) About Me  on 2010-08-31 10:49:09 (Show Source):


Travel_Word_Problems/337108: Starting from rest, a car accelerates at a rate of 4.2 m/s2 for a time of 5 seconds. What is it's velocity at the end of this time?
1 solutions

Answer 241629 by Fombitz(13828) About Me  on 2010-08-31 10:47:18 (Show Source):
You can put this solution on YOUR website!
Not technically an algebra problem but,
v=at=4.2%2A5=21 m/s


Quadratic_Equations/337096: how do you simplify and write this equation in standard form and then solve it
2x squared+ 50= 25x
1 solutions

Answer 241628 by Fombitz(13828) About Me  on 2010-08-31 10:46:31 (Show Source):
You can put this solution on YOUR website!
2x%5E2%2B50=25x
2x%5E2-25x%2B50=0
%282x%2B5%29%28x%2B10%29=0
Two solutions:
2x%2B5=0
2x=-5
highlight%28x=-5%2F2%29
.
.
.
x%2B10=0
highlight%28x=-10%29


Trigonometry-basics/337104: What is cos theta equals the square root of 2 over 2?
what is the cot theta equals 2?
1 solutions

Answer 241627 by Fombitz(13828) About Me  on 2010-08-31 10:44:54 (Show Source):
You can put this solution on YOUR website!
There are a handful of values you should know and commit to memory.
They are available on any calculator, EXCEL, and even at GOOGLE.
They are essential to trigonometry.
cos%28theta%29=sin%28theta%29=0
cos%28theta%29=sin%28theta%29=sqrt%282%29%2F2
cos%28theta%29=sin%28theta%29=1%2F2
cos%28theta%29=sin%28theta%29=sqrt%283%29%2F2
cos%28theta%29=sin%28theta%29=1
cos%28theta%29=sin%28theta%29=-sqrt%282%29%2F2
cos%28theta%29=sin%28theta%29=-1%2F2
cos%28theta%29=sin%28theta%29=-sqrt%283%29%2F2
cos%28theta%29=sin%28theta%29=-1
.
.
.
cot%28theta%29=2
tan%28theta%29=1%2F2
Use a calculator, tangent table, EXCEL or GOOGLE.


Probability-and-statistics/337103: The experiment consists of three steps:
1. Flip the coin.
2. Flip the coin again.
3. Roll the die.
SAMPLE SPACE:List all the possible outcomes for this experiment. You may abbreviate (H for heads, T for tails, etc.) You are not actually performing the experiment at this point – just listing the possible outcomes that COULD occur.
1 solutions

Answer 241626 by Fombitz(13828) About Me  on 2010-08-31 10:35:35 (Show Source):
You can put this solution on YOUR website!
H H Number=(HH1,HH2,...,HH6)
H T Number
T H Number
T T Number
Each number can take a value from 1 to 6.
So generate all 24 values this way.


Trigonometry-basics/337101: Solve 2sin x + sqrt3 < 0 for 0 =< x =< 2pi
1 solutions

Answer 241625 by Fombitz(13828) About Me  on 2010-08-31 10:33:36 (Show Source):
You can put this solution on YOUR website!
2sin%28x%29+%2B+sqrt%283%29+%3C+0
2sin%28x%29+%3C+-sqrt%283%29
sin%28x%29+%3C+-sqrt%283%29%2F2
Find the values when sin%28x%29=-sqrt%283%29%2F2
x=+%284%2Api%29%2F3,%285%2Api%29%2F3
So then
%284%2Api%29%2F3%3Cx%3C%285pi%29%2F3
.
.
.


Linear-equations/337038: a cubic box that holds 125 cubic units
1 solutions

Answer 241623 by Fombitz(13828) About Me  on 2010-08-31 10:26:14 (Show Source):
You can put this solution on YOUR website!
S%5E3=125
S=5
A cube with 5 unit side will have a volume of 125 cubic units.


Linear_Algebra/336973: 9+[4-(10-9)2]3
1 solutions

Answer 241622 by Fombitz(13828) About Me  on 2010-08-31 10:25:00 (Show Source):
You can put this solution on YOUR website!
Order of precedence,
9%2B%284-%2810-9%292%293=9%2B%284-%281%292%293
9%2B%284-%2810-9%292%293=9%2B%284-2%293
9%2B%284-%2810-9%292%293=9%2B%282%293
9%2B%284-%2810-9%292%293=9%2B6
9%2B%284-%2810-9%292%293=highlight%2815%29


test/337040: the value in a data set are 10,7,9,5,13,10,7,14,8 and 11 what question gives the answer 9.5
1 solutions

Answer 241621 by Fombitz(13828) About Me  on 2010-08-31 10:23:29 (Show Source):
You can put this solution on YOUR website!
Median of the data.


Quadratic_Equations/337097: how do you solve this equation
(6a-1)(5a+21)=0
1 solutions

Answer 241620 by Fombitz(13828) About Me  on 2010-08-31 10:22:03 (Show Source):
You can put this solution on YOUR website!
Use the zero product property,
.
.
.
Two solutions:
6a-1=0
6a=1
highlight%28a=1%2F6%29
.
.
.
5a%2B21=0
5a=-21
highlight%28a=-21%2F5%29


Complex_Numbers/337098: POLAR COORDINATES AND COMPLEX NUMBERS: Find the polar coordinates of the points with rectangular coordinates: (-2, 2 sqrt3)
a. (4, pi/3)
b. (4, 2pi/3)
c. (4, 5pi/6)
d. (2, 2pi/3
1 solutions

Answer 241619 by Fombitz(13828) About Me  on 2010-08-31 10:20:31 (Show Source):
You can put this solution on YOUR website!
r%5E2=%28-2%29%5E2%2B%282sqrt%283%29%29%5E2
r%5E2=4%2B12
r%5E2=16
r=4
.
.
.
tan%28theta%29=%282sqrt%283%29%29%2F%28-2%29
tan%28theta%29=-sqrt%283%29
theta=%282%2Api%29%2F3
.
.
.
b) is the correct answer.


Travel_Word_Problems/336969: If my car always goes 94 kilometers per hour and I stop at a rest stop for 21 minutes, and I only average 84.9 kilometers per hour on my trip; how many total kilometers did I go and how many hours did it take?
1 solutions

Answer 241618 by Fombitz(13828) About Me  on 2010-08-31 10:17:36 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
t1 is the time while the car moves at 94 kph.
94%2At1=D
t1=D%2F94
The units are in hours, let's convert to minutes.
t1=%2860%2F94%29D=%2830%2F47%29D
.
.
.
t2 is the time at rest.
t2=21
.
.
.
Average speed is total distance divided by total time.
D%2F%28t1%2Bt2%29=84.9%2F60=849%2F600=283%2F200
D%2F%28%2830%2F47%29D%2B21%29=283%2F200
200D=283%28%2830%2F47%29D%2B21%29
Multiply both side by 47
47%28200D%29=283%2830D%2B47%2A21%29
9400D=8490D%2B279321
9210D=279321
D=306.95km
Then from above,
t1=%2830%2F47%29%28306.95%29=195.9 minutes
t=t1%2Bt2=195.9%2B21=216.9 minutes
t=3.61 hrs
t=3 hrs 37 minutes.


Evaluation_Word_Problems/336972: evaluate f(1/4)if f(x)=4x-5
1 solutions

Answer 241616 by Fombitz(13828) About Me  on 2010-08-31 09:55:17 (Show Source):


Linear_Equations_And_Systems_Word_Problems/336986: your garden has an area of 136 square feet.you want to put a fence around the entire garden.how much fencing do you need.?if the width of rectangle is 3x+2 ns the length is 8
1 solutions

Answer 241614 by Fombitz(13828) About Me  on 2010-08-31 09:54:19 (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is,
A=L%2AW=%283x%2B2%29%288%29=136
3x%2B2=17
.
.
.
The perimeter of a rectangle is,
P=2L%2B2W=2%283x%2B2%29%2B16
P=2%2817%29%2B16
P=34%2B16
highlight%28P=50%29 ft.


Geometry_proofs/336977: Is line segment -----> cd the same as ------> dc
1 solutions

Answer 241612 by Fombitz(13828) About Me  on 2010-08-31 09:51:52 (Show Source):


Human-and-algebraic-language/336978: A quadrilateral has perimeter 60cm, and the lengths of its sides (in centimeters) are consecutive odd numbers.
1 solutions

Answer 241611 by Fombitz(13828) About Me  on 2010-08-31 09:51:29 (Show Source):
You can put this solution on YOUR website!
N%2B%28N%2B2%29%2B%28N%2B4%29%2B%28N%2B6%29=60
4N%2B12=60
4N=48
N=12
There are no 4 consectuve odd numbers that sum to 60, only consecutive even numbers (12,14,16,18).


Points-lines-and-rays/337005: x-5+3x+2=6x-23
1 solutions

Answer 241610 by Fombitz(13828) About Me  on 2010-08-31 09:48:32 (Show Source):


Mixture_Word_Problems/337049: A hospital needs to dilute a 60% boric solution to a 10% solution. If it needs 40 liters of the 10% solution, how much of the 60% solution and how much water should it use?
1 solutions

Answer 241609 by Fombitz(13828) About Me  on 2010-08-31 09:46:24 (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 60% solution and B the amount of 0% solution (pure water).
1.A%2BB=40
.
.
.
60%2AA%2B0%2AB=10%2840%29
2.60A=400
A=400%2F60
highlight%28A=20%2F3%29
Then from eq. 1,
20%2F3%2BB=40
B=120%2F3-20%2F3
highlight%28B=100%2F3%29


Angles/336985: BD bisects Angle ABC. Find the value of x. Angle ABD is x+15 and Angle DBC is 4x-45.
1 solutions

Answer 241607 by Fombitz(13828) About Me  on 2010-08-31 09:43:01 (Show Source):


Trigonometry-basics/337034: I need help solving the following equation for 0(<=) X (<=)2pi
tan^2 X + tanX=0
1 solutions

Answer 241606 by Fombitz(13828) About Me  on 2010-08-31 09:41:30 (Show Source):
You can put this solution on YOUR website!
tan%28X%29%5E2%2B+tanX=0
tan%28X%29%28tan%28X%29%2B1%29=0
Two solutions:
tan%28X%29=0
X=0
.
.
.
tan%28X%29=-1
X=%283%2Api%29%2F4, %283%2Api%29%2F4%2Bpi=%287%2Api%29%2F4


Trigonometry-basics/337033: I need help solving the following equation for 0(<=) X (<=)2pi
2sinXcosX= (sqrt 2)cosX
1 solutions

Answer 241604 by Fombitz(13828) About Me  on 2010-08-31 09:37:21 (Show Source):
You can put this solution on YOUR website!
2sin%28X%29cos%28X%29=+sqrt%282%29cos%28X%29
2sin%28X%29=+sqrt%282%29
sin%28X%29=+sqrt%282%29%2F2
.
.
.
What are the two values of X that have this value for sin%28X%29?


Square-cubic-other-roots/336989: whats the answer to the square root of (50/9)
1 solutions

Answer 241603 by Fombitz(13828) About Me  on 2010-08-31 09:35:44 (Show Source):
You can put this solution on YOUR website!
In simplest terms,


Polynomials-and-rational-expressions/337081: (x-2) is factor of x2-4x+4 and x2+x-6?
1 solutions

Answer 241602 by Fombitz(13828) About Me  on 2010-08-31 09:34:08 (Show Source):


Rate-of-work-word-problems/337095: It takes 12 people 1 day to finish 1 job, how long would it take 8 people to finish the same job?
1 solutions

Answer 241601 by Fombitz(13828) About Me  on 2010-08-31 09:32:33 (Show Source):
You can put this solution on YOUR website!
(12/8) as long.
(12/8)(1)=1.5 days


test/337094: There are 5 questions in a quiz and only true and false answers for each question. How many combination of true and false can we get from the answers??
1 solutions

Answer 241600 by Fombitz(13828) About Me  on 2010-08-31 09:31:44 (Show Source):


Trigonometry-basics/337025: I need help solving the following equation for 0(<=) X (<=)2pi
2cos^2X - 3cosX-2=0
Thank you!
1 solutions

Answer 241599 by Fombitz(13828) About Me  on 2010-08-31 09:29:17 (Show Source):
You can put this solution on YOUR website!
Use a substitution,
u=cos%28x%29
2u%5E2-3u-2=0
%282u%2B1%29%28u-2%29=0
Two solutions:
2u%2B1=0
2u=-1
u=-1%2F2
cos%28x%29=-1%2F2
x=%282%2Api%29%2F3, %284%2Api%29%2F3
.
.
.
u-2=0
u=2
cos%28x%29=2
No solutions.