Mathematics
06.07.2021 06:26
142
247
9
Solved by an expert

After taking medicine, the human body begins to break it down and remove it according

After taking medicine, the human body begins to break it down and remove it according to a pattern of exponential decay. If Ansley takes 500 mg of medication and his body removes 85% of the medication every hour, which function models the amount of
medication in Ansley's body after t hours?
Please explain the answer.
After taking medicine, the human body begins to break it down and remove it according to a pattern
Show Answers
desotoaustin
desotoaustin
4,4(59 marks)

Here are the complex numbers with their simplified differences

(7 -3i) - (6 - 4i) = 1 + i

(4 + 3i) - (6 +2i) = -2 - i

(4 + 5i) - (3 - 4i) = 1 + 9i

(5 + 4i) - (9 + i) = -4 + 3i

A complex number is when a real number and an imaginary number are added together

Complex numbers are usually in the form : a + bi

where a and b are real numbers and i is an imaginary number

for example, in this imaginary number : (7 -3i)

7 and 3 are real numbers while i is the imaginary number

In order to simplify these set of complex numbers, remember that when there is a bracket in mathematics it signifies multiplication.

Here are the set of rules that guide multiplication :

when a negative value is multiplied by a positive value, the value becomes a negative value

For example, -1 x 1 = -1

when a positive value is multiplied by a positive value, the value remains a positive value

For example, 1 x 1 = 1

when a negative value is multiplied by a negative value, the value becomes a negative value

For example,-1 x -1 = 1

Using the above information, the complex numbers can now be simplified

1. (7 -3i) - (6 - 4i)

this above equation becomes :

7 - 3i - 6 + 4i

add like terms together

7 - 6 - 3i + 4i  = 1 + i

2. (4 + 3i) - (6 +2i)

this above equation becomes :

4 + 3i - 6 - 2i

add like terms together

4 - 6 +3i - 2i = -2 - i

3. (4 + 5i) - (3 - 4i)

this above equation becomes :

4 + 5i - 3 + 4i

add like terms together

4 - 3 + 5i + 4i  = 1 + 9i

4. (5 + 4i) - (9 + i)

this above equation becomes :

5 + 4i -9 -i

add like terms together

5 -9 + 4i - i  = -4 + 3i

In order to solve for complex numbers remember that a bracket in mathematics means that a multiplication operation should be carried out. Also, pay cognisance to the rules guiding the multiplication of negative and positive numbers

Here is a similar question and answer on how to solve for complex numbers :

Popular Questions about the subject: Mathematics

Need help here please :)...
Mathematics
24.09.2020 11:51
Sin, cos, tan, unit circle...
Mathematics
04.11.2020 17:18
Which of the following are perfect cubes 1)3375 2)8000 3)6859...
Mathematics
10.05.2022 11:25
The two shorter sides of a right triangle measure 12 inches and 16 inches....
Mathematics
02.03.2021 18:39
The functions f and g are defined as follows. I...
Mathematics
07.10.2021 14:50
Show that (2x - 3) is a factor of 2x - 7x2 + 4x + 3,...
Mathematics
09.10.2022 04:19
Research applications of series. Share your favorite application of series....
Mathematics
05.03.2020 18:58
According to the diagram below, which similarity statements are true? Check...
Mathematics
20.02.2021 11:23

New questions by subject

According to Cattell, a test of verbal comprehension would draw on , whereas...
English
07.06.2020 17:04
Solve for x. 8x2−3=2 x=±10√4 x=±10√2 x=±5√2 x=±5√4...
Mathematics
27.01.2022 22:06
Making Predictions in a Mystery: Object Lesson English sorry...
Biology
26.05.2022 15:37
About Jefferson - Hamilton National Bank. Describe the structure of Jefferson’s...
Social Studies
19.01.2020 15:38
#
#
#
#
# #

We expand our knowledge with many expert answers