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2 years ago

Which two units you would use to measure population density?

Mathematics

2 answers:

algol [13]2 years ago

8 0

Considering that the lesson is on density and density means human population in a certain area I would go with option C

melisa1 [442]2 years ago

3 0

You are measuring people and animals, so this is for sure two of your units. For the next units, you need to choose something big enough to hold a large number of these, so you would use square meters and acres. The answer is the third option: number of people per square meter and number of animals per acre

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Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

6 0

1 year ago

A movie theater is holding a contest for people who are in line before 10 p.m. The people who are within three places of the 99

pav-90 [236]

Answer:

|x-99|<3

Step-by-step explanation:

|x-99|<3

4 0

3 years ago

A marathon is 26.2 miles long. There is a water station every 114 miles along the race route. How many water stations are needed

Aleks [24]

Answer:

I think 21

Step-by-step explanation:

7 0

3 years ago

Variable c is 5 more than variable

shutvik [7]

First, let us restate the given conditions

c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)

Now, lets look at the answer choices and or given
c = a − 5
c = a + 3
Here, c is 5 less than "a"...so automatically disqualified

a = c + 5
a = 3c − 3
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified

a = c − 5
a = 3c + 3
Here also, we have to get "C" by itself in both top and bottom equation.
So,
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" divided by 3 . So, this is not correct

c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.

So, our answer is going to be the last one:

c = a + 5
c = a - 3

7 0

3 years ago

Read 2 more answers

A pair of shoes that normally sells for $74.88 goes on sale for 25% off. What is the sale price?

igor_vitrenko [27]

Answer:

$56.16

Step-by-step explanation:

74.88 times 0.75 =56.16

3 0

2 years ago

Read 2 more answers