Population data from three towns is displayed in the tables below. Which
town has growth that follows an exponential model?

Population Data From Three Towns Is Displayed In The Tables Below. Whichtown Has Growth That Follows

Answers

Answer 1

Answer:

Rushmont

Step-by-step explanation:

Trenton can be ruled out due to its constant increase rate of 1.5. Rushmont can be ruled out because it goes from an increase rate of ~1.8 to an increase rate of 1.4 to an increase rate of 1.3 (exponential decay, not growth, so possibly...). Springville has a rate of ~1.9, then 1.475, then 1.3, also exponential decay. However, y\ =\ x\frac{38}{10}-185 goes through all of springville's points (or close to it), so Rushmont must be the answer.

Answer 2

The town that has growth that follows an exponential model is Town B, Rushmont where the population increases or decreases at a consistent rate over time.

In this case, analyze the population data from the three towns to determine which one exhibits exponential growth.

Let's go through each option briefly:

A. Springville:

The population of Springville in 1960 is 42, and in 1990 it is 156.The difference in population over 30 years is 156 - 42 = 114.The average increase per year is 114 / 30 = 3.8.The growth in Springville does not follow a consistent exponential pattern, as the average increase is not constant over time.

B. Rushmont:

The population of Rushmont in 1960 is 38, and in 1990 it is 131.The difference in population over 30 years is 131 - 38 = 93.The average increase per year is 93 / 30 = 3.1.The growth in Rushmont exhibits a consistent increase of approximately 3.1 per year, indicating a possible exponential model.

C. Trenton:

The population of Trenton in 1960 is 32, and in 1990 it is 108.The difference in population over 30 years is 108 - 32 = 76.The average increase per year is 76 / 30 = 2.5.The growth in Trenton does not follow a consistent exponential pattern, as the average increase is not constant over time.

Based on the analysis above, the town that shows growth following an exponential model is Rushmont (B). It exhibits a consistent increase in population over time, suggesting exponential growth.

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Related Questions

Two lines that lie in parallel planes are_____
parallel.


1: sometimes
2: never
3: always

Answers

Sometimes parallel they are not always parallel
Hi! The answer is 1. or sometimes parallel. It is not needed for them to always be parallel. I hope this helped you, Goodluck!

Geometry, please answer question ASAP

Answers

Answer:

a)24

Step-by-step explanation:

since NM is a radius it comes in contact with the tangent at an angle 90

MLN is a triangle meaning sum of angles =180°

90+24+x=180

156+x=180

x=24°

5x-2x = 11+14
find the the variable that makes the equation true.

Answers

Answer:

x=25/3

Step-by-step explanation:

I put it into photo math

What is a "real number"

Answers

Answer: are numbers which  include all the rational numbers, such as -3 which is an integer and the fractions such as 5/4, and all the irrational numbers, such as √7, and π

Find the surface area of the
rectangular prism.
2 cm
6 cm
3 cm
[?] sq cm
Enter

Answers

Answer:

72 sq cm

Step-by-step explanation:

Surface area of the cuboid is 2*(lb+bh+lh)=2*(12+18+6)=2*36=72

Answer:

36 sq cm

Step-by-step explanation:

This prism is formed by rectangles, and to find the area of a rectangle you have to multiply its sides. So, to find the surface area, you find the area of each rectangle and after add it all:

3×2 = 6 sq cm, and your have two of this rectangles

6×2 = 12 sq cm, and you also have two of this

3×6 = 18 sq cm, and also have two of this

6 + 12 + 18 = 36 sq cm

You own a farm and have several fields in which your livestock grazes. You need to order barbed-wire fencing for a small pasture that has a length of 5 yards and a width of 3 yards. The barbed wire must be long enough to be placed on all four sides of the outside pasture. How many yards of barbed-wire should you order?

Answers

Answer:

16 yards of barbed wire

Step-by-step explanation:

Length=5 yards

Width=3 yards

Perimeter of the pasture=2(length + width)

=2(5 yards +3 yards)

=2(8 yards)

=16 yards

You should order 16 yards of barbed wire for fencing the pasture

2/3 divided by -2 (in fraction form)

Answers

2/3 divided by -2

now,

answer= 2/3×1/2

we need to receprocal the number if we have to change division into multiplication...

= 1/3

we cut 2 as it is equal and present in both denomenator and numerator....

Answer:

-2/6

Step-by-step explanation:

What is the image of (-5, -1) after a reflection over the x-axis?​

Answers

Answer:

( -5, 1)

Step-by-step explanation:

When we reflect over the x axis

(x,y)→(x,−y)

( -5, -1) becomes ( -5, - -1)  which is ( -5, 1)

7. PLEASE HELP ME
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A= 27x -x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.

A. width = 13.5 ft; area = 182.3 ft2

B. width = 13.5 ft; area = 546.8 ft2

C. width = 27 ft; area = 391.5 ft2

D. width = 27 ft; area = 182.3 ft2

Answers

Answer:

A. width = 13.5 ft; area = 182.3 ft2

Step-by-step explanation:

Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x – x2, where x = width, gives you the. Answer: The width of the dog pen is 13.5 ft and the area is 182.3 square feet.

I need help from people that know the answer is right!!PLEASE HELP ASAP

Answers

Radius=r=3ft

Its a sphere

[tex]\boxed{\sf Volume=\dfrac{4}{3}πr^3}[/tex]

[tex]\\ \sf\longmapsto Volume=\dfrac{4}{3}\times\dfrac{22}{7}\times 3^3[/tex]

[tex]\\ \sf\longmapsto Volume=\dfrac{4\times 22}{7}\times 9[/tex]

[tex]\\ \sf\longmapsto Volume=113.1ft^3[/tex]

Find the surface area of the composite figure

Answers

Answer:

268

Step-by-step explanation:

2(2×6+2×2+2×6) + 2(4×5+4×10+10×5) - 2(2×2)

= 56+220-8

= 268 cm²

Answer:

272cm

Step-by-step explanation:

So the green block has 6 sides

the height of the prism is 4cm

the length is 10cm

and the width is 5cm

to find the top and bottom sides we must find the width and length

5x10=50cm so The bottom and top are double that so 100cm is covered so far

to find the longer sides, we times 4 by 10 = 40x2 = 80cm which covers 2 sides

and the last 2 sides of the green block are the smaller ones so 4x5 = 20 but that covers one side so we times by 2 andd that gives us both sides so 40cm

all 6 sides are covered so we can add up the numbers

top and bottom = 100cm

front back = 80cm

left and right = 40

add them all up and we get 220

now we see the purple block, this is the Same process as before

top = 2x2 = 4

bottom = 2x2 = 4

front = 6x2 = 12

back = 6x2 = 12

left = 6x2 = 12

right = 6x2 = 12

add them together and we get 56cm

the surface area of both of them Is 220+56 = 276cm

however the bottom of the purple prism is on top of the top of the green prism. Because we know the surface area of the bottom of the purple  (4) and the top Surface of the green (50).

this allows us to subtract the prism above because of the bottom shapes surface so the actual answer is  272cm hope this helped

plzzzz heeeeeeellllllllppppppppp again...

Answers

ANS=40

hope this help you

bye have a great day :)

180-55=25
the interior angle of triangle is 180
so 180-115-25= 40
the answer is 40
give me brainliest if you can thank u!:)

3. One rule of thumb for estimating crowds is that each person Occupies 2.5 square feet.

Use this rule to estimate the size of the crowd watching a parade along the 1-mile

section of the route in Question 2.

mile

Answers

Answer:

5.83142789

Step-by-step explanation:

did it on a graphing calculator, hope this helps

The shortest leg of a 30º-60º-90º triangle has a length of 6. Find the length of the other leg and the hypotenuse. Write your answer in simplest form. PLZ PLZ PLZ HELP I NEED THIS FOR MY GRADE I RATE 5/5 AND WILL NAME YOU THE BRAINLIEST!!!!!!

Answers

Answer:

[tex]leg=6\sqrt{3} \\\\hypotenuse=12[/tex]

Step-by-step explanation:

The equations for the 30°-60°-90° are as follows:

[tex]l=\sqrt{3}*s[/tex]

[tex]h=2*s[/tex]

l is the longer leg, s is the smaller leg, and h is the hypotenuse. Insert the known values and solve for the longer leg and the hypotenuse:

[tex]l=6\sqrt{3} \\h=12[/tex]

:Done

PLZ HELP! please answer both if you can!!
1. What is the area of the following triangle in square meters? Do not round your answer. A = a0 m 2

2.What is the average of the two bases in the following trapezoid in feet? 18 ft 11 ft 14.75 ft 22 ft

Answers

Answer:

0.324m^2 ; 18 ft

Step-by-step explanation:

Given the triangle :

Base (b) of triangle = 54cm

Height (h) of triangle = 1.2m

Area(A) of a triangle is given by:

0.5 * base * height

Base = 54cm = 54/100 = 0.54 m

Therefore,

A = 0.5 * 0.54m * 1.2m

A = 0.324m^2

2.) Average of the two bases in the trapezoid :

From the trapezium Given :

Base 1 = 15 feets

Base 2 = 7 yards

1 yard = 3 Feets

Therefore, base 2 in Feets = 7 * 3 = 21 Feets

Average of the two bases :

(21 Feets + 15 Feets) / 2

= 36 Feets / 2

= 18 Feets

Euphrosynelight needs 2x-7 while her friend needs 5x+2 how much in total

Answers

Answer:

7x-5

Hope this helped; mark brainliest if it did! :)

PLEASE I JUST WANT A GOOD GRADE The spinner below shows 10 equally sized slices. Diane spun the dial 50 times and got the following results.
Outcome White Grey Black
Number of Spins 19 13 18
Fill in the table below. Round your answers to the nearest thousandth.

Answers

Part (a)

The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26

Answer:  0.26

===============================================

Part (b)

Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3

Answer:  0.3

===============================================

Part (c)

Answer: Choice A)

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.

Which phrase best describes the relationship indicates by the scatter plotting?

Answers

Answer: negative correlation

Step-by-step explanation: If you look at the points in this graph here, I would say that those points are very close to a perfect line.

Notice that the slope of the line is negative.

This means it will be a negative correlation.

So the line is a very good estimate of the points.

What is the value of x

Answers

Answer:4,24

Step-by-step explanation:

2(4x+x)=60

10x=60

x=6

4*6=24

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2 ( l + b ) = 60

here,

l = 4x

b = x

so,

2 ( l + b ) = 60

2 ( 4x + x ) = 60

2 ( 5x ) = 60

5x = 60 / 2

5x = 30

x = 30 / 5

x = 6

so l = 4x = 4 × 6 = 24

b = x = 6

you can also recheck it by

2 ( l + b )

2 ( 24 + 6 )

= 2 × 30

= 60

Which is equal to the perimeter.

Hope this helps

plz mark as brainliest!!!!!

a b c or d? pls help out thx

Answers

Answer: I'm very sure the answer is B

Step-by-step explanation:

If the rocket is going straight up and it's measuring the height and time in seconds it should be at a slight curve but maintaining it's straight curve up making it a linear.

reduce to simplest form -7/12+3/8 =_____

Answers

I simplified it and I got -5/24

Answer:

-5/24

Step-by-step explanation:

make the denominators the same!

please help! need the answers in order to move on:) will give brainliest to correct answer!

Answers

Answer:

[tex]27^{\frac{1}{5} }[/tex] = [tex]\sqrt[5]{27}[/tex]

[tex]\sqrt[4]{256} = \sqrt[4]{2^{8} } = 2^{2} = 4[/tex]

[tex]a^{\frac{b}{c} } = \sqrt[c]{a^{b} }[/tex]

[tex]\sqrt[3]{125^{2} } = \sqrt[3]{ (5^{2})^{3} } = 5 ^{2} = 25[/tex]

[tex]\sqrt{112} = \sqrt{2^{4} * 7 } = 4\sqrt{7}[/tex]

Step-by-step explanation:

which of these is an example of a discrete random variable? A. Time worked on a job B. Weight of a child C. First digit of a phone number D. Length of a fish

Answers

A discrete random variable has a countable number of possible values. In this case I am pretty sure it is either none of the above or maybe the phone one.

Discrete random variables are simply countable, which should be a finite number and it should not change continuously. So, Time worked on a job is the discrete random variable among the four options.          

Discrete random variable:

A random variable is said to be discrete if an experiment gives a finite number that is countable and should not change continuously.

Here, Time worked on a job has a fixed time for a job has to be done. So, it is a discrete random variable.

Some more examples of Discrete random variables are:

No. of girls in a family,

No. of outcomes of the head when two coins are flipped.

No. of defective street lights out of 100 bulbs in a certain area.

No. of the possible outcome of getting 4 when a dice is thrown twice.

Wrong answers with explanation:

The weight of a child changes as the child grows. So, it cannot be a discrete random variable.

The first digit of a phone number also changes for each and every person, whenever a person changes his /her number automatically will get a new number and it will have a different digit. So, it cannot be a discrete random variable.

The length of fish also varies according to the different sizes of fish. So, it cannot be a discrete random variable.

Know more about the discrete random variables:

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Simplify the scalar multiplication on the matrix.

Answers

Answer:

third option

Step-by-step explanation:

Given

3 [tex]\left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right][/tex]

Multiply each element in the matrix by 3

= [tex]\left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right][/tex]  

Answer:

C.

Step-by-step explanation:

if X=2
y=-1
z=3
Find the value of


a. 2y3(cube) z2(square)​

Answers

Step-by-step explanation:

2y³z²

2(-1)³(3)²

=2(-1)(9)

=-18

1. Is the function g(x) increasing or decreasing over the interval -2 < x <-1?


2. the function h(x) increasing or decreasing over the interval -2 < x <-1?

Answers

Answer:

g(x) increasing

h(x) decreasing

Step-by-step explanation:

Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing

Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing

How many solutions does the nonlinear system of equations graphed below
have?
y
10+
-10
10
-10
A. One
B. Two
0
O
C. Four
O
D. Zero

Answers

Answer:

D. zero

Step-by-step explanation:

Since the graphs do not intersect, there are zero solutions.

The number of solutions on the graph is zero

How to determine the number of solutions?

The graph shows a linear equation (the straight line) and a non linear equation (the curve)

From the graph, we can see that the straight line and the curve do not intersect

This means that the graph do not have any solution

Hence, the number of solutions on the graph is zero

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Aaron and his 2 friends found some money and split it even. Each received $5.00. How much did they find? a. $1000 b. $100 c. $15 d. $1500

Answers

Answer:

15

Step-by-step explanation:

Aaron and his 2 friends = 3 people

Each received $5.00 = 3 people*5 each = 15 total

which number best completes the pattern ?
17,12,7
3,7,11
21,16(?)

a. 12 b. 11 c. 8 d. 3​

Answers

Answer:

11

Step-by-step explanation:

the common difference in the last sequence is 5 which can be gotten by subtracting the first term minus the second term.. therefore to find the next term you subtract 5 from the previous term,and 16-5 is 11.

I hope this helps

Answer:

b

Step-by-step explanation:

The first series has a patten which is an=a(n-1)-5. The second series follow the pattern which is an=a(n-1)+4. The third series follow the pattern an=a(n-1)+5. So 16-5=11.

PLEASE HELP I HAVE LIKE 10 MINUTES A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds in favor of the Cougars winning the toss in exactly two of three games? A. 3:5 B. 3:8 C. 5:3 D. 8:3 A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds against the Cougars winning the toss in exactly one of three games? A. 3:5 B. 5:3 C. 3:8 D. 8:3 A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights? A. 1:1 B. 1:7 C. 1:8 D. 7:1

Answers

Answer:

a

Step-by-step explanation:

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