The population of Austin, Texas in 1980 was 346,000 people. The population in 1990 was 472,000 people. What is the rate of change of the population with respect to the year for this function?
Answers
Answer:
12.6 thousand a year
Step-by-step explanation:
take the 346 add 126 thousand to it equaling a good 472 thousand divide 126 thousand by 10 cause it is a ten year span that equals you get 12.6 thousand.
I need brainliest please
We want to find the rate of change of the population of Austin, Texas in the years between 1980 and 1990.
The answer is: r = 12,600 people/year.
We will assume that this increase in population is modeled with a linear equation, remember that a general linear equation is:
y = a*x + b
Where the rate of change, or slope, is a.
We know that if a line passes through two points (x₁, y₁) and (x₂, y₂) the slope is given by the formula:
\(a = \frac{y_2 - y_1}{x_2 - x_1}\)
For this case we have two points, these are:
(1980, 346,000)
(1990, 472,000)
Then the slope or rate of change is just:
\(a = \frac{472,000 - 346,000}{1990 - 1980} = 12,600\)
To be complete we need to add the correspondent units, which are people per year.
Then the rate of change is:
r = 12,600 people/year.
If you want to learn more, you can read:
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Related Questions
a baby gorilla had a mass of 2620 grams at birth, 2960 after 10 days, and 3300 grams after 20 days. What is the average number of grams that the baby gorilla grew each day during the first 10 days and during the next 10 days?
show work
Answers
The baby gorilla grew 340 grams in the first 10 days. This is an average of 34 grams per day. The baby gorilla grew 340 grams in the next 10 days. This is an average of 34 grams per day. The baby gorilla grew at the same rate in the first 10 days and the next 10 days.
Here is the solution:
340 grams / 10 days = 34 grams per day
340 grams / 10 days = 34 grams per day
34 grams per day = 34 grams per day
Therefore, the average number of grams that the baby gorilla grew each day during the first 10 days and during the next 10 days is 34 grams per day.
Please help me on my math with Order Integers
Answers
Answer: -20,-19-,-15,0,4,16
Step-by-step explanation:
negative numbers work the opposite way as positive numbers when it comes to value for example 2 is greater then 1 but 1 is greater then -2
1. -3 + ? = 2 ; 2. 7 + ? = -2 ; 3. -6 + ? = -11 plz help
Answers
Answer:
1. 5
2. -9
3. -5
Step-by-step explanation:
hope this helps you
Answer:
1. 5
2. -9
3. -5
Step-by-step explanation:
Which letter shows the number 4 2/3 on the number line?
Answers
Answer:
is there a picture?? -by-step explanation:
An albatross is a large bird that can fly 400 kilometers in 8 hours at a contant speed. Using d for distance in kilometers and t for number of hours, an equation that represents this situation is d = 50t.
What are two constants of proportionality for the relationship between distance and hours?
An albatross is a large bird that can fly 400 kilometers in 8 hours at a contant speed. Using d for distance in kilometers and t for number of hours, an equation that represents this situation is d = 50t.
What are two constants of proportionality for the relationship between distance and hours?
50
50/d
50/1
1/50
Answers
Answer:50
Step-by-step explanation:
50 is constant of proportionality
Help!
The number of cookies that were made at a bakery for each of seven days is shown:
108, 96, 96, 84, 108, 240, and 84
The best measure of center for this data set is the-
A: median because all of the values are close to one another in value
B: mean because all of the values are close to one another in value
C: median because 240 is much higher than the other numbers in the data set
D: mean because 240 is much higher than the other numbers in the data set
Answers
The data set is as follows: 108, 96, 96, 84, 108, 240, and 84.
The median represents the middle value when the data set is arranged in ascending or descending order. In this case, when we arrange the data in ascending order, we have: 84, 84, 96, 96, 108, 108, 240. The middle value is 96, which is the fourth value in the sorted data set.
The mean is calculated by summing up all the values and dividing by the total number of values. In this case, the sum of the values is 756 (108 + 96 + 96 + 84 + 108 + 240 + 84), and there are seven values. Therefore, the mean is 756/7 = 108.
Comparing the options:
A: median because all of the values are close to one another in value - This is not accurate as the values vary, and the median is not necessarily the best measure of center based on the values being close to one another.
B: mean because all of the values are close to one another in value - This is not accurate as the values are not all close to one another, and the mean is not necessarily the best measure of center based on the values being close to one another.
C: median because 240 is much higher than the other numbers in the data set - This is not accurate as the presence of a single high value does not automatically make the median the best measure of center.
D: mean because 240 is much higher than the other numbers in the data set - This is the most accurate option. The mean takes into account the magnitude of each value and is influenced by extreme values. The value 240 has a significant impact on the mean, making it a better measure of center in this case.
Therefore, the best measure of center for this data set is D: mean because 240 is much higher than the other numbers in the data set.
The graph of y=f(x) is shown below. Which point could be used to find f(-2)?
Answers
Simplify 2/3 +9-1/24
Answers
LCM is 72
2/3 * 24/24 = 48/72
9/1 * 72/72 = 648 / 72
1/24 * 3/3 = 3/72
48/72 + 648/72 - 3/72
693/72
231/24
77/8
Answer:
\(9 \frac{5}{8} \)
Step-by-step explanation:
\(1. \: lcd = 24 \\ 2. \: \frac{2 \times 8}{3 \times 8} + 9 \times \frac{24}{24} - \frac{1}{24} \\ 3. \: \frac{16}{24} + \frac{216}{24} - \frac{1}{24} \\ 4. \: \frac{16 + 216 - 1}{24} \\ 5. \: \frac{231}{24} \\ 6. \: \frac{77}{8} \\ 7. \: 9 \frac{5}{8} \)
Given the table below. Write the corresponding equation.
y = 1/2 x
y = -2x
y = 2x + 5
y = 2x
Answers
Trust me
Graph the following in cartesian plane. With solution.
1.) 5x - 4y = 20
2.) 3x + 3y = 15
3.) y = 3/4x - 2
4.) y = -3/2x + 3
pls help me I need this pls, I only need the solution, thx
Answers
Step-by-step explanation:
1.) 5x-4y=20
y=5/4x-5
5x/4-5=0
x=4
2.) 3x+3y=15
y=-x+5
x+5=0
-x=-5
=x=5
3.) y=3/4x-2
3/4x-2=0
x=0
3x4x/4 -2 x4x-0x4x
3-2x4x=0x4x
3-8x=0
8x=-3
=x=3/8
4.) y=3/2x+3
3/2x+3=0
x=0x
3x2x/2+3x2x=0x2x
3+3x2x=0x2x
3+6x=0
6x=-3
x=_3/6
=x=-1/2
The word problem below has too little information. Read carefully and then
choose the fact or facts needed to solve the problem.
Carl rode a horse about 15 feet from the center of the carousel. Allison rode
a horse about 10 feet from the center. How much further did Carl's horse
travel in one complete turn of the carousel?
A. Horses on the outside edge are the fastest.
B. Carl's horse travels 90 feet in one turn.
C. Horses near the center are the slowest.
D. Allison's horse travels 60 feet in one turn.
Answers
Answer:
5 feet.
Step-by-step explanation:
We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.
To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.
An automobile factory has a reputation for assembling high-quality cars. However, several new cars were shipped out to dealers that had a problem with the brakes. It is estimated that approximately 10% of the cars assembled at this factory have defective brakes. Five of these cars are shipped to a dealership near your school. What is the probability that none of the 5 cars will have defective brakes? Should the dealership be concerned? Explain.
Answers
Answer:
The dealership should be concerned because the probability is over 25%
How many solutions does the system have? { � = 9 � − 5 � = 9 � + 6 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=9x−5 y=9x+6 Choose 1 answer: Choose 1 answer: (Choice A) Exactly one solution A Exactly one solution (Choice B) No solutions B No solutions (Choice C) Infinitely many solutions C Infinitely many solutions
Answers
Option (C) Infinitely many solutions
Before you multiply or divide a fraction by a mixed number, you have to make sure they are both in the same___________?
Answers
Answer:
Step-by-step explanation:
form. Meaning you need make both fractions improper
Which points are 3.5 units apart?
(7.5, 1.2) and (7.5, –2.3)
(7.5, –3.5) and (7.5, 3.5)
(7.5, 1.2) and (7.5, 2.3)
(7.5, –3.5) and (7.5, 7)
Answers
HELPPPPP ASAPPPP I WILL GIVE BRAINLIST
Answers
Answer:
1, 5.8 represents the unit value. the slope is 5.8 so every time it moves over one vertical line it will go up 5.8 horizontal lines.
Step-by-step explanation:
Question is there ⬇️⬇️⬇️⬇️⬇️⬇️⬇️
Answers
Answer:
4.9
Step-by-step explanation:
for this I used the sine rule so I did 6/sin 70 × sin 50
PLS HELP ME OUT!!!
A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers of cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.
Answers
Answer: each is going up by 46
Step-by-step explanation:
i can count
Consider rhombus ABCD, with side length 6:
This is rolled to form a cylinder of volume 27/2 by taping AD to BC:
What is sin(angle BAD)?
Answers
Answer: The circumference of the cylinder's base is 6 units.
Radius = 1/2(6/pi)
Volume = r2pi*h
h = (27/2) / r2pi
sin(∠BAD) = h / 6
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
Learn more about functions at: https://brainly.com/question/25638609
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
https://brainly.com/question/30721594
8m+95<−87m+5
please anwser with steps
Answers
hope it can help u
mr.wong wants to make travel bags for groups of students to take on a field trip. he will put 24 note pads,34 water bottles,and 48 granola brads into the bags. he wants to put the same number of each type of item into each travel bag. What is the greatest number of total bags mr Wong can make
Answers
Yvonne’s bakery makes blondies and brownies. ● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies?
Answers
Answer:
1/2 half of them are blondies
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 1/2 half of them are blondies
please help SHOW ALL YOUR WORK
Answers
Answer:
the answer is A
Step-by-step explanation:
because 2+¾= 11/4 and -2+⅛=-15/8. WHEN we collect it we can see the answer is -6/8
please help! 20 pts!
Answers
Answer:
\(\frac{4(8*4)}{4}\) \(=\frac{4(32)}{4} =\frac{128}{4} = 32\)
Step-by-step explanation:
Step by step: The guy above me
GIVING BRAINLIEST What is 3(63-12)+94-32+-13
Answers
Answer:
According to BODMAS / PEMDAS rule, the answer is 202.
Step-by-step explanation:
3 (63-12 )+94-32-13
=3(51)+94-32-13
=153+94-33-13
=202
Which triangle is correctly labeled?
Answers
Option (b) Is the answer
Hope it helps you
The answer is Option (B)
Reason
The Hypotenuse is always on the Opposite side of the Right Angle.
This is only seen in Option (B)
Learn more about Hypotenuse and Legs here
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Mark BRAINLIEST
33 divided by -33 ___ --32 divided by 16
Answers
Answer:
33 divided by -33 > -32 divided by 16
The Greenbaum family agreed to pay for 3 months of an online TV service in exchange for a $5 credit on the bill each month. If the Greenbaums spend a total of $11.85 on the service over the 3 months, what is the normal price of one month of online TV service?
$5.00
$6.85
$8.95
$30.55
Answers
Answer:
8.95
Step-by-step explanation:
I saw this once on my sister computer the answer was 8.95
Answer:
8.95 is right
Step-by-step explanation:
listen to the person above me and then also give them brainliest. they deserve it.
-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)
Answers
Answer:
Option #4
Step-by-step explanation:
Expand option #4
=-3(1-2x)
=-3 -2x*-3
=-3+6x which is what your original equation was.