The set of complex numbers is the set of all numbers of the form a + bi, where a and b are real numbers and i = . A. True B. Fal
1 answer:
The set of complex numbers IS the set of all numbers of the form , where <em>a</em> and <em>b</em> are real numbers, and <em>i</em> is the imaginary unit defined as
, therefor the statement is correct.
Complex numbers can be seen as an extension of the set of all real numbers, and they have a wide range of aplications in many fields like Engineering, Physics, Mathematics and more. The most simple definition of a complex number, is that they are the sum of a real number (in this case <em>a</em>) and an imaginary number (in this case ).
Usually confusion arises in many students while studying complex numbers because the imaginary unit, <em>i</em>, isn't a number we can compute. The best way to see these numbers is as 2-dimensional numbers, meaning numbers that have 2 components (the idea is almost the same as that of a 2-dimensional vector). They are thoroughly used in Mechanical Engineer to solve for vibration problems, and in Electrical Engineering to compute the real and imaginary part of electric power.
<h3>Learn more</h3>- How to multiply complex numbers: brainly.com/question/501218
- How to add complex numbers: brainly.com/question/1665916
Complex numbers, imaginary unit, real numbers
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Given:
The dimensions:
Square pyramid
Square base: 2x2
1 out of 4 triangles: 1/2x2x5
4 triangles: 2x2x5
To find:
The SURFACE AREA of the square pyramid
Find answer:
Step 1
Find the area of the square base -
Square base:
SA = L x W
= 2 x 2
= 4
<em>The surface area of the square is 4 square inches</em>
<em></em>
Step 2
Find the area of the 4 Triangles:
We will use a different formula here, to find 1 triangle, we will have to do:
To find 2 triangles, we will do:
But to find 4 triangles in just 1 step, we will do:
Let's do it!
<em>The surface area of the 4 triangles are 20 square inches</em>
<em></em>
Step 3
Add answers to get FINAL ANSWER
Easy!
20+4=24
<h2>Hence, the Surface Area of the Square Pyramid is 24 square inches</h2><em></em>
<em></em>
Answer:
1.
2.
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
- f(x) = 0.05x
- g(x) = x - 3000
2. The composition of the function
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:
3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one: