Questions on Algebra: Complex Numbers answered by real tutors!

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Question 1004375: Which of the following statements is true?
A)i^99 B)i^0+i^18=0 C）1/i^3=-i D)(i^3)^5=1
Click here to see answer by fractalier(6550)

Question 1004372: in complex plane, what is the distance of two complex numbers Z1=-i and Z2=2?
Click here to see answer by fractalier(6550)

Question 1004371: Express 2 radical -50 minus 3 radical -18 as a monomial in terms of i
Click here to see answer by fractalier(6550)

Question 1004365: what is the value of i^3*i^5*i^7/((i^3）^5）^7？
Click here to see answer by Alan3354(69443)

Question 1004590: NASA launches a rocket in t=0 seconds. It's height, in meters above sea-level, in terms of time is given by h--4.9t^2+370+157.
How high is the rocket after 9 seconds?
How high was the rocket when it was initially launched?
Click here to see answer by fractalier(6550)

Question 1004731: Simplify: (√3 +i)(√3 -i)
Click here to see answer by MathLover1(20849)

Question 1004959: 12+18i
________
3-i
Click here to see answer by jim_thompson5910(35256)

Question 1005008: Your family is taking a long-distance car trip. You begin with 17 gallons of gasoline in the fuel tank. Your car uses 4 gallons per hour of driving. You want to stop when there is exactly one gallon of gas left in the tank.
Click here to see answer by josgarithmetic(39613)

Question 1005822: What is (4+4i)^2 simplified?
Click here to see answer by MathLover1(20849)

Question 1005850: Write the result in the form a + bi. 3/6+i
Click here to see answer by AnlytcPhil(1806)

Question 1005851: hi there
i have a question about complex number
my question is about Check the function differentiable :
F(x)= |sin(x)| + i cos|y|
thanks
Apameh
Click here to see answer by AnlytcPhil(1806)

Question 1006035: Please help solve this complex equation/fraction
-4i/2-3i
Thank you
D Morris

Click here to see answer by AnlytcPhil(1806)

Question 1006027: At Prime High School there are three language classes; French, German and Mandarin. There are 40 students in each class.
5 students study all three languages.
12 students study only German and Mandarin.
15 students study only French and Mandarin.
11 students study only French.
How many students study languages at Prime High School?
Please show the work. Thanks.
Click here to see answer by MathTherapy(10549)

Question 1006030: Amber planned a party. Each child was asked to bring a cupcake, juice and a present to the party. They were to bring one of each type of item.
Each child brought at least one item.
16 children brought all three items.
5 children brought the cupcake and the present only.
1 child brought the cupcake only
1 child brought juice only
3 children brought the cupcake and the juice only.
There were 25 cupcakes, 21 juices and 26 presents to share altogether.
How many children were at the party?
Please show the work. Thanks!
Click here to see answer by MathTherapy(10549)

Question 1006271: Im giving trouble with this algebra. what is the answer for 4 less than c in algebraic.

Click here to see answer by Rwilson55(9)

Question 1006479: How many three digit primes have all three digits as different primes?
Click here to see answer by jim_thompson5910(35256)

Question 1006583: Find the "algebraic solution" of the following:
a) i^45
b) i^425
how do I know if I'm finding the "algebraic solution" or just the solution? I don't know what they mean by "algebraic solution"? I'm taking an Algebra course so how could it not be "algebraic"?
Click here to see answer by stanbon(75887)

Question 1006710: (3+2i) + (3-2i)
Click here to see answer by Alan3354(69443)

Question 1006709: (4+2i√2)^2
Click here to see answer by Alan3354(69443)

Question 1006805: with plan A, the charge is $7.50 a month with no fee for each check written. with plan b, the charge is $3 a month, plus an additional 20 cents for each check written. what is the least number of checks a customer must write each month in order for plan A to cost less than plan B?

Click here to see answer by macston(5194)

Question 1006916: Let Given that the complex number i
is a zero of the function, find all the zeros of the function.
Click here to see answer by Edwin McCravy(20054)

Question 1007027: what is the answer to this complex numbers problem?
(-2+8i)+(3+4i)
Click here to see answer by Edwin McCravy(20054)

Question 1007168: the sum of three and the square root of a number

Click here to see answer by fractalier(6550)

Question 1007562: Write the complex number in polar form with argument theta between 0 and 2pi.
8-8i
Click here to see answer by solver91311(24713)

Question 1007611: i am having trouble with my complex numbers homework. the problem is -7(-4i)(-5-3i) could you explain it to me ?
Click here to see answer by Alan3354(69443)

Question 1007701: 3+1/(2-3i)
Click here to see answer by stanbon(75887)

Question 1008134: absolute value of 5-i
Click here to see answer by fractalier(6550)

Question 1008249: z1=2+i
z2=-3+i
z3=z1+z2
Click here to see answer by Edwin McCravy(20054)

Question 1008258: Z1=3ei*180/3
Z2=2e^i4*180/3
Z3=z1z2

Z1= -0.5+0.8660i
Z2=Z1^3
Z1= -16
Z2=Z1^0.25
Click here to see answer by Alan3354(69443)

Question 1008255: Z1=3e^i180/3
Z2=2e^i4*180/3
Z3=z1z2
Z1= -0.5 +0.866i
Z2=z1^3
Z1= -16
Z2=z1^0.25
Z1=-2+3i
Z2=-2-3i
Z3=z1/z2
Click here to see answer by Alan3354(69443)

Question 1008465: One positive number is three more than twice a number that the product equals 1430.what are the numbers?
Click here to see answer by KMST(5328)

Question 1008895: (4x+7y) (8x-5y)
Click here to see answer by norymae(15)

Question 1008841: 3+4i/4+i
Click here to see answer by fractalier(6550)

Question 1008547: One printer can do a printing job in 5 hours. Another printer can do the same in 11 hours. How long does it take the two printers to do the job working together?
Just having trouble setting the problem up.
Click here to see answer by fractalier(6550)

Question 1009169: Write the complex number in polar form with argument θ between 0 and 2π.
−5+5(sqrt3)i
Click here to see answer by ikleyn(52747)

Question 1009421: What is the product of the complex numbers (−3i + 4) and (3i + 4)?
Thanks
Click here to see answer by josgarithmetic(39613)

Question 1009675: Solve the equation by factoring. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
4 sin(θ) cos(θ) + 2 sqrt(3) sin(θ) − 2 sqrt(3) cos(θ) − 3 = 0
Click here to see answer by KMST(5328)

Question 1009824: What is value of (a+b)(a2+b2)(a-b)(a4+b4)

Click here to see answer by ikleyn(52747)

Question 1009881: Find the multiplicative inverse of 1/3-i
Click here to see answer by It is costly(175)

Question 1009881: Find the multiplicative inverse of 1/3-i
Click here to see answer by MathLover1(20849)

Question 1009674: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate.
(-2/sqrt 3)cos 3θ = 1
a.)find all the solution of the equations.
b.)find the solutions in the interval [0,2pi)

Please help so confused??
Click here to see answer by ikleyn(52747)

Question 1009984: I am a High School senior this year. I am having trouble in Algebra two. If I do not pass the class. Then I will not graduate. Is there any one willing to help me for free?
Click here to see answer by harpazo(655)

Question 1010052: 2+2 sqrt(3)+2i-2i sqrt(3)
express in a + bi form
Click here to see answer by MathLover1(20849)

Question 1010250: Find x
square root of 64x+8 = square root of x+8

I was able to get it into Mathway to get 0 but I would like an explanation on how to get this
Click here to see answer by fractalier(6550)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380