The population density of an area is the number of people living in per unit area. The most populated region is Region A.
<h3>What is Population Density?</h3>
The population density of an area is the number of people living in per unit area. It is given by the formula,

The population density of the different regions is as follows,
Region A = 20,178 person /521 km² = 38.729 person/km²
Region B = 1,200 person /451 km² = 2.66 person/km²
Region C = 13,475person /395 km² = 34.114 person/km²
Region D = 6,980 person /426 km² = 16.385 person/km²
Hence, The most populated region is Region A.
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Answer:
You can tell whether or not something is positive or negative by looking at the specific number for example if you look at this number -5 you know its a negative number because it has a - sign.Although when its positive it does not have any kind of format of signs according to my calculations.
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Using a trigonometric equation, it is found that it will take 2.28 minutes until the two trains are first equidistant from the child.
<h3>What is the distance of each train to the child?</h3>
The distance of the first train is:

The distance of the second train is:

<h3>When are the trains equidistant to the child?</h3>
When
, hence:

The following substitution is made:

Hence:


Which is a quadratic equation with coefficients
, hence:



Then, applying the trigonometric equation, considering that
due to the range of the cosine function:


It will take 2.28 minutes until the two trains are first equidistant from the child.
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-(4/5)*(3/7)*(15/16)*(-14/9) [two negatives make one positive]
=(4*3*15*14)/(5*7*16*9) [simplify 4/16]
=(3*15*14)/(5*7*4*9)
=(3*3*14)/(7*4*9)
=(14)/(7*4)
=(2)/(4)
=1/2
Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that:
- Initially, she had n sweets.
- With the ones she got from Teddy, the amount became 1.5n.
- With the amount from Rosie, the amount became 1.4 x 1.5 x n.
The final amount was of 63, hence:
1.4 x 1.5 x n = 63
n = 63/(1.4 x 1.5)
n = 30.
Annie had 30 sweets originally.
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