If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?

Answers

Answer 1

Answer: so, if z = x+iy,
|z| = $\sqrt{x^2+y^2}$
and $ |z|^2 = x^2 + y^2 $

so if x = 3+bi
|x|^2 = 3^2 + b^2
which is given to be 13

3^2 + b^2 = 13
9+b^2 = 13
b^2 = 13-9
b^2 = 4
b = +\sqrt 4 , -sqrt 4
b = +2,-2

Hence, the possible values of b are +2 or -2.

Answer 2

Answer:

Answer:

The answer is A in edge. The answer is 2.

Step-by-step explanation:

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a crew is made up of 8 men; the rest are women. 66 2/3% of the crew are men. how many people are in the crew?

Answers

let x=total crew number
$(x)/(8)$ = 0.6666..
cross multiply
$(8)/(0.666)$ = x
x=12
12-8 = 4
So there are 4 women in the crew

Number # 11 please !!!

Answers

I am pretty sure it is Quadrant 1 (Quadrant I)

Hope this helped!!

In what quadrant on the coordinate plane is the point (5,-2) located? Your answer would be : Quadrant I V

Write 3.2x10 square (-5) in standered form

Answers

I believe it would be 320000 sorry if I didn't really help

Which id the following is the least
A. 0.105
B. 0.501
C. 0.015
D. 0.15

Answers

When comparing decimals, you have to compare each place value. Begin with the tenths place and compare each number that occupies that place. If they are the same, move to the hundredths place and compare. When you reach a place value where the numbers are not the same, compare them. The larger number in that place value is the larger number.

For your choices, when we look at the tenths place, we see that one of the numbers is 0 and all the other numbers have a higher number so we don't have to go any further...

c)0.015 is the smaller number

Investment of $3000 at 16% simple interest for two years.

Answers

I=PRT
r=rat
P=present amount
I=interst
t=time in yeare

2 years
16%
3000
I=2*3000*0.16
I=$960

16% of $100 is $16
16% of $1000 is $160
16% of $3000 is $480

2 years of simple interest 16% on $3000
= $3000 + $480 + $480
= $3960

You are Miguel Cervantes de Navas y Colon, captain in the Royal SpanishArmy in Sevilla in the year 1842. Outside your barracks window is a stack of
cannonballs, as shown in the illustration. On an idle afternoon you decide to
calculate the number of cannonballs in the stack. What is the number of
cannonballs?

Answers

650 is the number of cannonballs. It typically fires a projectile propelled by an explosive chemical.

What is cannonballs?

A cannon constitutes a large-caliber gun that belongs to the artillery category. It typically fires a projectile propelled by an explosive chemical. Prior to the development of smokeless powder in the late 19th century, gunpowder (sometimes known as "black powder") served as the main propellant.

Depending on their intended purpose on the battlefield, different types of gun combine and balance these characteristics to differing degrees. Cannons differ in gauge, effective range, mobility, rate of fire, angle of fire, and firepower. A large artillery weapon is a cannon.

By utilizing the formula of a square pyramid,

n(n+1)(2n+1)/6

12(12+1)(2(12)+1)/6

12(13)(25)/6

2*13*25

=650

Therefore, 650 is the number of cannonballs.

To know more about cannonballs, here:

brainly.com/question/14330897

#SPJ7

Answer: The correct answer would be 164(c)

Step-by-step explanation: