1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BabaBlast [244]
3 years ago
6

What is the conjugate of 1-8i

Mathematics
2 answers:
Sergio039 [100]3 years ago
5 0

Answer:

1+8i

Step-by-step explanation:

conjugate of a + bi is a - bi

Kaylis [27]3 years ago
4 0

Answer:

Step-by-step explanation:

1+8i

You might be interested in
N=4; 2i and 3i are zeros <br> f(-1)=50
Nonamiya [84]

Solution:- \text{Let f(x) be any nth degree polynomial with n=4}\\

\text{Given that 2i and 3i are the zeroes of f(x)}

\text{so (x-2i) and (x-3i) are factors of f(x)}

\text{Since 2i is a zero of f(x) then its conjugate -2i is also a zero of f(x)}

\Rightarrow(x+2i) \text{is a factor}\\\text{Similarly, conjugate of 3i is -3i is also a zero of f(x) }\\\Rightarrow(x+3i)\text{is a factor}\\\text{So , }\\f(x)=k(x-2i)(x+2i)(x-3i)(x+3i)\\=k(x^2-(2i)^2)(x^2-(3i)^2)\\=k(x^2-4i^2)(x^2-9i^2)\\=k(x^2+4)(x^2+9)\\=k(x^4+13x^2+36)\\\text{As given}\\f(-1)=50\\\Rightarrow k((-1)^4+13(-1)^2+36)=50\\\Rightarrow k(1+13+36)=50\\\Rightarrow k(50)=50\\\Rightarrow k=1\\\text{So by substituting k=1 in f(x) we get ,}\\f(x)=(x^4+13x^2+36)

6 0
3 years ago
Raise to the power<br> (–3y)^4<br> (2ax)^3<br> (10xy)^2<br> (–2abx)^4<br> (–am)^3<br> (–xn)^4
krok68 [10]

Use\ (ab)^n=a^nb^n\\\\(-3y)^4=(-3)^4y^4=81y^4\\\\(2ax)^3=2^3a^3x^3=8a^3x^3\\\\(10xy)^2=10^2x^2y^2=100x^2y^2\\\\(-2abx)^4=(-2)^4a^4b^4x^4=16a^4b^4x^4\\\\(-am)^3=(-1am)^3=(-1)^3a^3m^3=-1a^3m^3=-a^3m^3\\\\(-xn)^4=(-1xn)^4=(-1)^4x^4n^4=1x^4n^4=x^4n^4

4 0
3 years ago
The list price is $74.13. Trade discount of 7/21. Find net cost
bonufazy [111]

Answer: Net\ cost=\$49.42

Step-by-step explanation:

You need to analize the information given in the exercise.

In this case you know that the List price is:

List\ price=\$74.13

And, based on the data given, you also know that the Trade discount is:

Trade\ discount=\frac{7}{21}

Then, the first step you need to apply is to multiply the List price by the Trade discount, as you can observe below:

(\$74.13)\frac{7}{21}=\$24.71

 Now it is important to remember that, by definition, the Net cost can be found by subtracting the List price  (which in this case is $74.13) and the product of the List price and the Trade discount (which in this case is $24.71).

Then, through this procedure, you get the following Net cost:

Net\ cost=\$74.13-\$24.71\\\\Net\ cost=\$49.42

7 0
3 years ago
Please help with this probability question and if you could explain how to get the answer in order for me to understand!
nikdorinn [45]

Answer:

Expected value = $8.89

Step-by-step explanation:

cost of playing game = $1

winning if sum is odd = $10

winning if sum is 4 or 8 = $5

winning if sum is 2 or 12 = $50

two dice rolled, possible outcomes =

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

total no. of outcomes = 36

now according to the table of outcome with respect to winning money, we can calculate expected value by multiplying the probability of each roll with winning amount associated with each roll. and subtract the amount that we paid for the game that is $1.

E(x) = 1/36*($50) + 1/18*($10) + 1/12*($5) + 1/9*($10) + 5/36*($0) + 1/6*($10) + 5/36*($5) + 1/9*($10) + 1/12*($0) + 1/18*($10) + 1/36*($50)

= 25/18 + 5/9 + 5/12 + 10/9 + 0 + 5/3 + 25/36 + 10/9 + 0 + 5/9 + 25/18

Expected value = $8.89

Subtract the amount that was paid to play the game that is $1.

$8.89 - $1 = $7.89

A profit of $7.89 is expected every-time the game is played.

8 0
3 years ago
Sean baked 5 batches of cookies. Each batch contained between 3 dozen and 5 dozen cookies. Which is a reasonable estimate of the
Lubov Fominskaja [6]

Answer:

96 or 2,160

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Norm Johnson played in the NFL for 26 years. Write and solve an equation to find how many points he averaged each year. (Norm Jo
    12·2 answers
  • PLZ HELP! Write the inequality.
    15·1 answer
  • There are 6 red marbles, 4 blue marbles and 15 green marbles in a jar. If you reach in and randomly draw one, what is the probab
    15·1 answer
  • Which of the following data sets is represented by the histogram.
    5·1 answer
  • Flor ha colocado ¹1/4 kg de papa sobre una balanza . si un cliente le quiere comprar 2 kg de papa , ¿cuantos kilogramos (kg) de
    14·1 answer
  • Pls help bond maths 5 points plzz​
    11·1 answer
  • What is the answer to cube root -2×(-6.5)- -2×(-3)+8×(-2)-8×2+5 square?​
    7·1 answer
  • SOLVE FOR X!!<br> (will mark brainliest)
    14·2 answers
  • Plz help 1+2=???<br><br> Im realy bored someone wanna talk at g mail Debbud Dark
    13·1 answer
  • Please help Find P2 if possible.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!