The graph below represents a population
over time. What is the average rate of
change for the function for the interval (6, 12]?
PLS HELP
Answers
Answer:
Average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.
Step-by-step explanation:
We need to find the average rate of change for the function for the interval
(6, 12]
The formula used to calculate Average rate of change is:
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
We are given a=6 and b=12
Looking at the graph we can see that when x=6 y= 3000 so, f(a)=3000
and when x=12, y=6000 so, f(b)=6000
Putting values in formula and finding Average rate of change:
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{6000-3000}{12-6}\\Average \ rate \ of \ change=\frac{3000}{6}\\Average \ rate \ of \ change=500[/tex]
So, average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.
Related Questions
How many hundreds make 300 ones
Answers
Answer:
3. is the correct answer
Step-by-step explanation:
Answer:
3
Step-by-step explanation
100=1 hundred
200=2 hundred
300=3 hundred
Draw the following graph on the interval −195∘
:
y=cos(x)+2
What is the amplitude of the function?
What is the period of the function?
Answers
y=cos(x)+2
What is the amplitude of the function?
What is the period of the function?
Jane made $288 for 18 hours of work. At the same rate, how much would she make for 11 hours of work?
Answers
Answer:
176
Step-by-step explanation:
Answer:
176
Step-by-step explanation: If you divided 288 by 18 you would get 16 witch would be the unit rate. Then you would multiply by 11 to get how much money she made.
50 POINTS for both questions
Answers
Answer:
3. i think 15.5
4. 140*
Step-by-step explanation:
in number 4, d is a vertical angle to the angle measured at 140.
in number 3, QV=SV, so 17=4x-1 18=4x 18/4=x x=4.5
and TS=TQ, so 3(x) + 2 = 3(4.5) + 2 = 13.5 + 2 = 15.5 =TQ
Answer:
thats 5 points why u sayin 50
Step-by-step explanation:
In this situation, simple interest is calculated yearly.
How much interest was earned?
Drag and drop the answer into the box.
Principal: $8000
Time: 4 years
Interest rate: 12%
Answers
Answer:
the answer is = 3840
Step-by-step explanation:
I took the test and got it right
Demi’s last 5 bowling scores were 68, 75, 90, 80. What was Femi’s mean score? A.72 B.75 C.77 D.79 D.
Answers
Complete Question:
Femi's last 5 bowling scores were 68, 75, 72, 90, and 80. What was Femi's mean score?
Answer:
Step-by-step explanation:
Given
Scores: 68, 75, 72, 90, and 80
Required
Determine the mean
The mean (M) of a data is calculated as thus:
[tex]M = \frac{\sum x}{n}[/tex]
Where
n = number of data.
In this case,
n = 5
and
[tex]\sum x[/tex] = sum of data
So, the formula becomes
[tex]M = \frac{68 + 75 + 72 + 90 + 80}{5}[/tex]
[tex]M = \frac{385}{5}[/tex]
[tex]M = 77[/tex]
Hence, the mean is 77
Students in Mrs. Brown's class must complete at least 40 math problems for homework every week. The table shows the progress of four students on Wednesday.
Answers
Answer:
Grace completed it. The others did not.
Step-by-step explanation:
Hope this helps!
Solve for y: 0.3y - 2 > 7
Answers
Answer:
Y > 30
Step-by-step explanation:
Use the distributive property and combine like terms to simplify:
-5(x + 4) + 8
a
-5x - 28
b
-5x + 12
c
-5x - 12
d
-5x + 28
Answers
Answer:
-5x - 12
Step-by-step explanation:
-5(x + 4) + 8
-5x - 20 + 8
-5x - 12
The automaker of your new car recommended an oil change following the 5,000 miles and then every 3,000 miles thereafter.if you plan to drive the car 250 miles a week, how many oil changes will you need the first year?
Answers
Answer:
3 oil changes
Step-by-step explanation:
1. Find an equation that represents this word problem: 3000x + 5000 = y
Where y = the # of miles total. y = 250 miles/week * 52 weeks/year = 13000 miles.
2. Solve for x: 3000x + 5000 = 13000 3000x=8000
3. x = 8/3 integer round down x = 2 oil changes, but plus the one after 5000 miles is a total of 3 oil changes that year
Caitlin drew a scale drawing of the community park in her town. The actual
long.
What scale did Caitlin use to draw the park?
o 1 inch equals 4 feet
4 inches equal 4 feet
o 1 inch equals foot
4 inches equal 1 foot
Answers
Answer: 1 inch equals 4 feet
Step-by-step explanation:
By an online search, I´ve found that:
The park is 48 ft long.
Caitlin´s drawing is 12 inches long.
To find how much each inch represents, we need to take the quotient between those lengths:
48ft/12in = 4ft/in.
We also can write this amount as:
4 feet per inch.
This means that each inch represents 4 feets.
Then the correct option is the first one: 1 inch equals 4 feet
Find the number, if 9/4 of it is 27
Answers
Answer:
12
Step-by-step explanation:
Let the required number be x
[tex] \frac{9}{4} \times x = 27 \\ \\ x = 27 \times \frac{4}{9} \\ \\ x = 3 \times 4 \\ \\ x = 12[/tex]
Answer:
I think 12 is the answer...
Step-by-step explanation:
27/1 divided by 4/9 (Multiply by the recipricol).
27/1 multiplied by 9/4 (Cross multiply/Use the butterfly method).
= 12/1 or 12
I hope this helps.
4) If a = 28 and b = 4, then a/b = ______
Answers
Answer:
7
Step-by-step explanation:
You divided both 28 and 4 and you will get 7 as your answer.
Which relation is a function
Answers
Can you construct a triangle that has side lengths 2 in., 3 in., and 6 in. ?
no
yes
Answers
25 POINTS PICTURE INCLUDED PLEASE ANSWER I NEED HELP
What expression represents the value of v?
Answers
Answer:
that is an obtuse angle and mixed with an aacute, you answer should be 45 or 50 degrees please correct me if im wrong.
Step-by-step explanation:
Find the next number in the sequence.
25, 36, 49, 64, ...
Answers
Answer:
81
Step-by-step explanation:
25, 36, 49, 64, ...
36 - 25 = 11
49 - 36 = 13 = 11 + 2
64 - 49 = 15 = 13 + 2
64 + 15 + 2 = 81
36 to 49 is 13
49 to 64 is 15
The difference is it’s going up by 2 each time so ...
64 + 17 is 81
The next number is 81
please answer the image below
Answers
Answer:
Step-by-step explanation:
Remark
This is one of those questions whose answer is hidden by the sloppiness of the wording. You don't really know what the starting speed is at 129 feet. I am going to assume the submarine is constantly moving at the same speed.
Givens
d1 = 129
d2 = 229
t = 3 sec
formula
(d2 - d1) = r * t
solution
(229 - 129) = r * t
100 = r * 3
100/3 = r
33.3 feet/s = r
Caution
if you know what d = vi*t + 1/2*a * t^2 is, you could get this wrong. If you do know the formula, leave a comment below my answer.
Given that 1 gallon = 16 cups, find the missing quantity below 24 gallons =. Cups?
Answers
Answer:
384
Step-by-step explanation:
You multiply 16 by 24 and that equals 384. Good luck and have a great day!
The ratio of vowels to consonants in a word is 5 to 7. Are there more vowels or consonants in the word?
Answers
Answer:
ratio is 5-7
Step-by-step explanation:
have a nice day.
Which of the following pairs of lines are perpendicular?
y=3x-4 and y=-1/2 x-5
y=1/2 and y=2x-1
y=x and y=-x
Please help with this. 60 points for this!
Answers
Answer:
y=x y=-x
Step-by-step explanation:
Answer:
y= 12x4
Step-by-step explanation:
i have a degree for this stuff
you know.
The assignment of basketball players to a jersey number.
Answers
Answer:
is this a question i can help with?
Explain the differences between properties of equality
and properties of inequality when solving equations and
inequalities.
Answers
Answer:
In algebra, an equation is a mathematical expression that contains an equals sign. ... An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression.
Step-by-step explanation:
If g(x)= -3x^3+5x-3, then the slope of the line that is perpendicular to the tangent line at x=1 would be...
A. 4
B. -4
C. 2
D. -1/4
E. 1/4
Answers
The slope of the line that is perpendicular to the tangent line at x=1 is, [tex]\frac{1}{4}[/tex]
Option E is correct.
Slope of line:The derivative of given function with respect to x is known as slope of function.
Given function is, [tex]g(x)=-3x^{3}+5x-3[/tex]
Now differentiate the above function.
[tex]\frac{dg(x)}{dt}=-9x^{2} +5[/tex]
[tex]\frac{dg(x)}{dx}[/tex] at [tex]x=1[/tex] is,
[tex]\frac{dg}{dt} =-9(1)^{2}+5 =-4[/tex]
the slope of the line that is perpendicular to the tangent line at x=1 is,
Slope[tex]=-\frac{1}{dg/dx}=\frac{1}{4}[/tex]
Learn more about the slope of line here:
https://brainly.com/question/3493733
which of the following sets could be the sides of a right triangle?
Answers
the sets are {5, 8, 12}
{3, 5, (square root 34)}
{2, 3, (square root 10)}
Evaluate 8 + 3e when e = 2.
Answers
Answer:
14
Step-by-step explanation:
8+3e plug in 2
8+32 Multiply 3 and 2.
8+6=14
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, take away 1 and multiply the result by 3."
Please answer
Answers
you didn't say what number you would think of
I'm guessing this is multiple choice but the formatting of the question is a bit hard to understand.
write it algebraically as 2x
2x just means multiply x by 2
The algebraic equation for the other example is 3(x-1) which is 3x - 3
This is not multiplying by two, so it is wrong.
A cell phone plan costs $150 to start, Then, thero is a $50 charge each month. What is
the total cost, y, for x months? Which equation match this situation Y=150-50x. Y=50x+150. Y=150x+50. -50x+150=y
Answers
Answer:
Y = 50x + 150
Step-by-step explanation:
50 per month (x = unknown number of months) === 50x
$150 is the starting charge (automatic +150)
Y = total cost
Y = 50x + 150
Jerrod drove 210 miles in 3 hours. Martin drove 244 miles in 4 hours. Who drove at the fastest rate of speed and by how much?
Answers
Answer:
Jerrod drove at the fastest rate of speed which is 70 km/ph.
Step-by-step explanation:
I hope this is what u wanted.
Kristi gets $10 a week from her parents if she washes the dishes after dinner every night. Kristi has saved up $30 over the last few weeks from her allowance. She wants to continue saving her allowance until she has enough money to buy the $7o bike she saw at the store last week. Assuming Kristi receives her allowance every week, write an equation that shows how many more weeks Kristi has to save her allowance to buy the bike, where w is the number of weeks. You can solve the equation to check your answer.
Answers
Answer: She needs to save her allowance for another 4 weeks.
Step-by-step explanation:
She starts with $30, and for each week that she saves her allowance, she gets another $10. If she saves for "w" weeks, she has:
$30 + w*$10
And she wants to have $70
$30 + w*$10 = $70
We can solve this:
$30 + w*$10 = $70
w*$10 = $70 - $30 = $40
w = $40/$10 = 4
