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erik [133]
3 years ago
7

Whats the smallest product of 3 diffrent prime numbers

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0
Multiply the first 3 prime numbers that are 2 3 and 5 so the answer would be 30 
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Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of
Luda [366]

Answer:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

  • |C| = \sqrt{a^2+b^2}

Then, the work consists in finding pairs (a,b) for which:

  • \sqrt{a^2+b^2}=3

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}

I will use b =0.5, b = 1, b = 1.5, b = 2

b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236

Then, four distinct complex numbers that have an absolute value of 3 are:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i
4 0
3 years ago
What is the value of x in the figure ?
morpeh [17]

Step-by-step explanation:

2x+15= 145°

( vertically opposite angles)

2x=145-15 = 130

x =  \frac{130}{2}

x = 65

3 0
3 years ago
Read 2 more answers
Dorji thought of a number. He first multiplied the number by 3 and then subtracted 12
jeyben [28]

Answer

The answer is 24

Step-by-step explanation

  • 24 x 3 = 72
  • 72 - 12 = 60
  • 60/6 = 10
  • 10 - 4 = 6
6 0
2 years ago
Which of the tables represents a function? Help please i’ll mark brainliest
Helga [31]

Answer:

Table B

Step-by-step explanation:

If you see any number in the input being used more than once, it is not a function. If all numbers of the input are different, it is a function.

Only Table B is a function since all input numbers are different.

5 0
3 years ago
The value from the set {10, 11, 12, 13} that makes the equation 2(x − 5) = 12 true is <br>.​
Diano4ka-milaya [45]

Answer:

x = 11

Step-by-step explanation:

2(x - 5) = 12 ← divide both sides by 2

x - 5 = 6 ( add 5 to both sides )

x = 11

4 0
2 years ago
Read 2 more answers
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