Tennessee has a population of about 6,495,978. Its territory can be modeled as a trapezoid, as shown in the figure. Each unit on the coordinate grid represents one mile. Find the approximate population density of tennessee. Round to nearest whole number if necessary.
Answers
Answer:
The population density is 150 persons per square mile
Step-by-step explanation:
Firstly, we need to calculate the area of the trapezoid.
Mathematically, the area of a trapezoid is
(a+b)/2 * h
from the grid, we can obtain the lengths
on the x-axis , each line is 40(200/5 thin lines)
on the y-axis, each thin line also is 40(200/5 thin lines)
thus a = (8 * 40) = 320
b = (10* 40) = 400
h = (3 * 40) = 120
Inserting this into the area equation, we have the area of the trapezoid as (320 + 400)/2 * 120 = 43,200 units
since each unit = 1 mile, the area of Tennessee = 43,200 units
The population density is thus ; 6,495,978/43,200= which is approximately 150 persons per square mile
The population density is a number that gives the number of people located within the state.
[tex]\mathrm{The \ population \ density \ is \ approximately}\ \underline{150}\ \frac{persons}{mi.^2}[/tex]
Reasons:
The population of Tennessee = 6,495,978
The dimensions of the trapezoid model of the territory are;
Base length, a = 320
Base length, b = 400
Height of the trapezoid, h = 120
[tex]Area \ of \ the \ trapezoid = \mathbf{\dfrac{a + b}{2} \cdot h}[/tex]
Which gives;
[tex]Area \ of \ the \ trapezoidal \ territory = \mathbf{\dfrac{320 + 400}{2} \times 120 }= 43,200[/tex]
Area of the trapezoidal territory of the state = 43,200 mi²
[tex]The \ ratio \ of \ the \ population \ to \ the \ territory = \dfrac{6,495,978}{43,200} = 150.36986\overline 1[/tex]
Therefore;
[tex]The \ population \ density \approx \underline{150}\ \frac{persons}{mi.^2}[/tex]
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.
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Answers
Answer:
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Step-by-step explanation:
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39, 40, 44, 49, 50, 54, 56, 61, 62, 68
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Answer:
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Step-by-step explanation:
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We will review each option and see that it corresponds:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
3 x {10 +1} +5.
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Parentheses first
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Step-by-step explanation:
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Step-by-step explanation:
Frankie was practicing for a 5 kilometer race his normal time is 31 minutes and 24 seconds but yesterday he took 29 minutes and 50 seconds how much time came of his normal time
Answers
Answer: 1 minute 34 seconds
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Which of the following is the graph of y = sin(0.5x)?
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On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 2 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 1 cycle at 8 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.
Answers
Answer: On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.
Step-by-step explanation:
The function is y = sin(0.5*x)
We know that sin(0) = 0, so this graph must pass trough the point (0,0)
We know that the maximum of the sin(x) is 1, when x = pi/2. and the minimum is -1 when x = (3/2)*pi
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then the maximum is when:
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and the minimum is when
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Now, knowing that sin(2*pi) = 0
The other 0 of the sin is when we have 0.5*x = 2*pi
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"On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi."
Answer:
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Step-by-step explanation:
During December,an electronics store saw a 27% increase in video game sales.If the store sold an average of $47,300 in video games during each other month,how much more money did it earn in December for video game sales?
Answers
Answer:
It earned $12,771 more in December.
Step-by-step explanation:
This question can be solved using a rule of three.
During an average month, we have that 100% = 1 is $47,300.
During December, the amount is $x, and it is 100% + 27% = 127% = 1.27. So
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It earned $60,071 in December.
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Answers
Answer:
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Step-by-step explanation:
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Answer:
x+y= idk
Step-by-step explanation:
sorry i need the points
Answer:
15
Step-by-step explanation:
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Answers
Answer:
0.80x dolllars
Step-by-step explanation:
20% discount of the total amount is
0.20 * x dolllars
So if you start with x dollars you need to subtract the discount to get the new (lower ) price.
x - (0.20 * x) dolllars
1* x - 0.20 * x
x * 1 - 0.20 * x
x * ( 1 - 0.20 )
x * ( 0.80 )
0.80x dolllars
You have 4 tickets to the movies and can take 3 of four friends, Mike, Tom, Eddie, and Chris. If chosen randomly, what is the probability that you will take Mike, Tom, and Chris?
Answers
Answer:
Hello!
You have to find the probabilities of these happening
To pick Mike the first time is a 1 /4 chance
To pick Tom after Mike is a 1 / 3 chance since you picked mike
To pick Chris after Tom is a 1 / 2 chance since there are only two friends left
To find the probability of these happening in a row you multiply them
1/4 * 1/3 * 1/2 = 1/24
The answer is 1/24
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Answers
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
1 - Person already infected
10 - People who got the virus
1 + 10 = 11
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Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
$93,996
Step-by-step explanation:
i = prt
i = ($53,712)(.15)(5)
i = $40, 284
$40, 284 + $53,712
$93,996
Answer:
$92996
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 53712 × 15/100 × 5
I = $40284
He has = 40284 + 53712 = $93996
What is the value of r in the equation?
Negative 1.5 (4 minus r) = negative 12
–6
–4
4
6
Answers
Answer:
The answer is -4
Step-by-step explanation:
that would be because that is the answer
the correct answer is B.) -4
A small bag of pretzels costs $0.99 and contains 4 ounces. A large bag of pretzels costs $2.99 and contains 15 ounces. Which is the better buy?
Answers
Answer:
$2.99 is the better buy
Step-by-step explanation:
First, find the unit price for each bag of pretzels. This can be found by the formula: (cost/amount). in this case it is (cost/ ounce)
This means:
0.99 bag for 4 ounces means about 25 cents per oz
2.99 bag for 15 oz means about 20 cents per oz
The lower the unit price, the better the buy.
Each ounce is cheaper with the 2.99 bag, therefore it is the better choice.
