Questions on Algebra: Complex Numbers answered by real tutors!

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Question 54028: Victor earns $3 an hour working after school and $4 an hour working on saturdays. Last week he earned $43, working a total of 13h. How many hours did he work on saturday?
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Question 53737: Divide

Click here to see answer by rchill(405)

Question 54052: if modulus of (z-1)is less than 3 then prove that modulus of (iz+3-5i)is less than 8?
Click here to see answer by venugopalramana(3286)

Question 54051: if modulus of (z-1)is less than 3 then prove that modulus of (iz+3-5i)is less than 8?
Click here to see answer by venugopalramana(3286)

Question 52755: Factor completely:
y^3-8
Thank you for your help and time !!!
Click here to see answer by funmath(2925)

Question 52755: Factor completely:
y^3-8
Thank you for your help and time !!!
Click here to see answer by Nate(3500)

Question 54099: I need some assistance figuring out this problem. Any feedback is appreciated.
Evaluate
((((( 24-[2(3-8)+2^3]+13+11(23-4^2/20-2x5 )))))
Click here to see answer by stanbon(57224)

Question 54116: FIND THE RANGE OF VALUES OF a(an element of R)for which z+a*(mod of (z-1))+2i=0,where z=x+iy has a solution.also find the solution
Click here to see answer by venugopalramana(3286)

Question 54202: It's been a long time since I've done algebra....I'm a 43 yr old Dad...trying to help my 15 yr old daughter with homework (she's gone right now) explain to me if you please how to solve this equation:
2x - 5y =9
y = 3X - 7
Thanks for your help in advance.....Don Gillis
Click here to see answer by Nate(3500)

Question 54531: (-3 - √-7)^2 Write in standard form.
I got 6 - 2√7i
Thanks for your help!
Click here to see answer by stanbon(57224)

Question 54531: (-3 - √-7)^2 Write in standard form.
I got 6 - 2√7i
Thanks for your help!
Click here to see answer by funmath(2925)

Question 54529: Not sure if I did this right...
√-3 - √-75
I came up with √3i - 5√3i
Thanks!
Click here to see answer by Nate(3500)

Question 54751: Convert the following to polar form, answer in radians
(i) 1 + j3
(ii)5 - j2
Click here to see answer by Edwin McCravy(8880)

Question 54738: i to the negative 46th power
Click here to see answer by psbhowmick(529)

Question 54840: -64/27 RAISED to the -2/3 power.
Please Help!!!
Click here to see answer by tutorcecilia(2152)

Question 54843: WORD PROBLEM:
How much water should be added to 8 ML of 6% Saline solution to reduce the concentration to 4%?
Please Help?
Click here to see answer by stanbon(57224)

Question 54843: WORD PROBLEM:
How much water should be added to 8 ML of 6% Saline solution to reduce the concentration to 4%?
Please Help?
Click here to see answer by checkley71(8403)

Question 54880: If I invest $25,000 in two different stocks. One earns 6.5% and the other earns 7.00%. If the total interest earnings for one year is 1683.75, how much is invested in each stock?
Stock X = ? = 6.5% interest
Stock Y = ? = 7.0% interest
Total = $25,000 = 1,683.75 Total interest
Please show me how to solve this problem.
Click here to see answer by stanbon(57224)

Question 54842: WORD PROBLEM:
Two chemical plants are polluting a river. If plant A produces a predetermined maximum amount of pollutant twice as fast as B, and together they produce the maximum pollutant in 26 hours, how long will it take Plant B alone?
PLEASE HELP!!
Click here to see answer by stanbon(57224)

Question 54837: 3x=(2x-1)(m+4) Please Help!!!
Click here to see answer by wgomero(28)

Question 54844: This is the last problem I have to do. . .
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock the length of the rope from the boat to the dock is 3ft longer than twice the height of the dock above the water. Find the height of the dock.
Please Help me!
Click here to see answer by wgomero(28)

Question 54993:
Click here to see answer by funmath(2925)

Question 54750: Convert the following to polar form, answer in degrees
(i)4 - j2.4
(ii)-5.1 + j1.7
Click here to see answer by stanbon(57224)

Question 54841: (Interval Notation)
x+1/x-3 is less than or equal to 5
Please help!
Click here to see answer by stanbon(57224)

Question 55233: 2+5/2+7/12+9/2to the power 2+12/12to the power 2+13/2 to the power 3+19/12 to the power 3+17 to the power 4

which of the following is true
10 9 11 12
Click here to see answer by Edwin McCravy(8880)

Question 55404: Becky has as many dimes as Ryan and Amy have together. Ryan has 2 more dimes than Amy, and Amy has one-third as many dimes as Becky has. How many dimes does each have?
Click here to see answer by Cintchr(481)

Question 55377: A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and twice as many nickels as quarters. How many of each coin are in the bank?
Click here to see answer by ankor@dixie-net.com(15628)

Question 55409: A collection of 102 nickels, dimes and quarters is worth $13.60. There are 14 more nickels than dimes. How many quarters are there?
Click here to see answer by Cintchr(481)

Question 55407: A bank contains 36 nickels, dimes, and quarters. There are 4 more dimes than quarters and twice as many nickels as quarters. How many of each coin are in the bank?
Click here to see answer by Cintchr(481)

Question 55413: A collection of 102 nickels dimes and quarters (all together the coins equal 102) is wortth $13.60. How many quarters are there.
Click here to see answer by stanbon(57224)

Question 55479: Please help me simplify this complex fraction! Thanks in advance!
w+3/4w over w-3/2w
Step by step would help a great deal!
CH
Click here to see answer by funmath(2925)

Question 55816: Could someone please tell me if all the following are correct?
If not which ones do I have wrong? -
Rational numbers are defined to be those which can be expressed as a ratio of integers.
The number pi is an integer.

For all real numbers x, | x | = x.
The number 3i is greater than 2i.

The equation 2 – (3 – 4) = (2 – 3) – 4 illustrates the associative property of subtraction.

Zero is a complex number.

The number 8M is even for all real numbers M.

The number zero is both positive and negative.

The number .1919191919… is a rational number.

Click here to see answer by stanbon(57224)

Question 56002: A constant voltage is applied to a circuit that has a variable resistor. The current varies inverseley as the resistance. At a resistance of 6 ohms, the current is 10 amperes. Find the current when the resistance is 12 ohms.
Click here to see answer by stanbon(57224)

Question 55964: sqaure root 5 times sqaure root a to the power of 5
Click here to see answer by tutorcecilia(2152)

Question 56128: One grocery clerk can stock a shelf in 20 minutes, whereas a second clerk requires 30 minutes to stock the same shelf. If the two clerks worked together, how long would it take them to stock the shelf ?
Click here to see answer by checkley71(8403)

Question 56164: How do you compute "i" to the 34th power?
Click here to see answer by venugopalramana(3286)

Question 55996: Divide and Simplify:
2x^2+11x+12/x^2-7x+10 divided by x^2+x-12/x^2-8x+15
Click here to see answer by ankor@dixie-net.com(15628)

Question 56685: hai
i am doing B.Sc(maths) Ist year at madurai kamaraj university in correspondence.
this question is from trigonometry, complex numbers
find the modulus and amplidude form of (1-i)(1-2i)/(1+3i)
i have tried this one
(1-i)(1-2i)/(1+3i) = (1-i)(1-2i)(1+3i)/(1-3i)(1+3i)(multiplyingnumerator & dinominator by the conjugate)
=(8+6i^3)/10
(1-i)(1-2i)/(1+3i) =(4-3i)/5
r=square root(x^2+y^2)
=square root ((4/5)^2+(-3/5)^2)
r=square root (1)
cos theta=x/r
=4/5 square root (1)
sin theta=y/r
=-3/5 square root(1)

Click here to see answer by venugopalramana(3286)

Question 56790: (x-4)
______
(x/4)-(4/x)
that line makes it a fraction. please simplify this complex fraction. thanks.
Click here to see answer by Nate(3500)

Question 56790: (x-4)
______
(x/4)-(4/x)
that line makes it a fraction. please simplify this complex fraction. thanks.
Click here to see answer by funmath(2925)

Question 56790: (x-4)
______
(x/4)-(4/x)
that line makes it a fraction. please simplify this complex fraction. thanks.
Click here to see answer by checkley71(8403)

Question 56792: x^2
____ <---this is
(x+1)^2 divided
___________________ by
this
x _-
______ <----------
(x+1)^3
Click here to see answer by ankor@dixie-net.com(15628)

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