The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in millions and t represents the number of years since 1990. Find the average rate of change in the country's population between 1990 and 2010. Round to 1 decimal place.

Answers

Answer 1

Answer:

[tex]\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20} = 2.26[/tex]

Step-by-step explanation:

as with all functions f(t), the average rate of change on [a.b] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]


Related Questions

Kaitlyn is sharpening a pencil that is 19 cm. Each time she sharpens it goes down 2.5 cm. If she sharpens her pencil 4 times. How many centimeters of pencil does she have left?

Answers

Answer:

9 cm

Step-by-step explanation:

2.5x4=10

wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba

Answers

Answer:

wooowooowowowowowowowowow

Step-by-step explanation:

Answer:

epic ninja

Step-by-step explanation:

ninja

5(a +3)= 40 *

What is the answer

Answers

Answer:

sorry i had too

Step-by-step explanation:

someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer: a = 5

Step-by-step explanation:

5(a + 3) = 40

5a + 15 = 40

5a -15 = -15

5a = 25

5a/5a = 25/5a

a = 5

Hope this helps :)

A line has a slope of -1/8 passed through the point 5,10

Answers

Answer:

what i do not know what i am on

Step-by-step explanation:

How many gallons of pure water must be added to 10 gal of 30% salt water to make a solution that is 25% salt water?

Answers

Answer:

2 gallons must be added Hope this helps!

Pls help pls help pls help 20 points yall pls help pls help

Answers

Definetly answer choice 2)
the answer is number 2 I have book

A toy marks down every toy by 25% in January. Use p for the price in December to write an expression of the price in January? ​

Answers

Answer: since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation: I got this from a friend. But I hope this helps! <3

Find the area of the triangle.
7 yd
24 yd
The area is
square yards.

Answers

Answer:

84 yd^2

Step-by-step explanation:

Answer:

½ × 7yd × 24yd = 84yd² <<<<< the answer

plis help

Find the distance from the origin to the graph of 6x+3y+2=0

a.
0.33
b.
0.31
c.
0.3
d.
0.32

Answers

Answer:

Step-by-step explanation:

B is the answer

HELP FIVE STARS,THANKSAND BRAINLIEST (if your right)!!

What is the y-coordinate of the point shown in the graph?

P.S the graph is in the picture above.​

Answers

Answer:

-7

Step-by-step explanation:

the full coordinate would be  3,-7. just line up the number directly above it and to the left/right and write it down x,y

pls pls pls pls help ​

Answers

Answer:

im guessing it says they give $5 to the father

if that is the case then the answer is c

Step-by-step explanation:

Which set of ordered pairs are solutions to this linear equation?
-4x+y=6
O(-5, -34), (2, 8), (6, 32)
o(-1, 2), (0, -4), (1, -2)
0 (-1, 2), (0, 6), (1, 10)
O(-3, -22), (-1, -2), (1, 2)
PLEASE

Answers

Answer:

0(-1,2),(0,6),(1,10)

How many 2/3 cup servings are in 1½ cups of cheese?
lol I know this but I'm too lazy

Answers

Answer:

2.25

Step-by-step explanation:

1.5 / 0.666 (repeating) = 2.25

Answer:

There are 2 one-quarter cup servings in 1 half cup

In 5.25 cups there are 21 one-quarter cup servings

Step-by-step explanation:

So 21 quarter cup servings divided by 2 quarter cup servings per half cup serving will yield the number of half cup servings.

21/2 is 10.5, so there are ten and half, half cup servings in 5.25 cups

Nisha did the work below to solve an equation.
Step 1 7b+3.2b-5=18.92
Step 2 10.2b-5=18.92
Step 3 5.2b= 18.92
Step 4 b=3.64.
In which step did Nisha make her first error?
Step 1
Step 2
Step 3
Step 4

Answers

Answer:

Step 3.

Step-by-step explanation:

When 10.2b - 5 = 18.92, you cannot combine the unlike terms together on the left side to get 5.2b. Instead, add 5 to both sides:

10.2b = 18.92 + 5 = 23.92.

Answer: step 3

Step-by-step explanation:

ABCE is a parallelogram . determine the meaSure of

Answers

Answer:

D. 78°

Step-by-step explanation:

ABCD is a parallelogram.

Measures of the opposite angles of a parallelogram are equal.

Therefore,

[tex]3x = x + 52 \\ \\ 3x - x = 52 \\ \\ 2x = 52 \\ \\ x = \frac{52}{2} \\ \\ x = 26 \\ \\ m\angle B = (3x) \degree \\ \\ m\angle B = (3 \times 26) \degree \\ \\ m\angle B = 78\degree[/tex]

2/3y + 1 =1/6y + 8
y = ?

Answers

Answer:

21

Step-by-step explanation:

solved it

Select Yes or No to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph.

Answers

Yes, yes, no I believe

20) Find the length of a side of a square with a
diagonal length of 100 cm.

Answers

Answer:

about 7.0710678cm

Step-by-step explanation:

it's a square so the sides are equal.

the diagonal is 100cm

This makes a right triangle with two sides

since the sides are equal, they both are equal to the square root of 50, which is half of 100

the square root of 50 is about 7.0710678cm

Which of the following was included in the “Declaration of the People”?

Texians wanted the Constitution of 1824 reestablished.

Texians wanted George Washington to be president instead of Santa Anna.

Texians considered themselves independent from Mexico,

The people of Texas want more restaurants.

Answers

Answer:

C

Step-by-step explanation:

Texas was not around during George Washington so that cant be correct

Texas was not around during the constitution of 1824

Texas did not want more restaurants lol

So Texans considered themselves  independent from Mexico is correct

Answer:

Step-by-step explanation:Texas was not around during George Washington so that cant be correct Texas was not around during the constitution of 1824 Texas did not want more restaurants So Texans considered themselves  independent from Mexico is correct

took it on edge 2020 and got it write with this

help me pls!! thank you!!

Answers

Answer:

J) y=4/3x+2

Step-by-step explanation:

The initial value is 2 so the y-intercept should be at (0, 2)

The slope is 2/1.5=1.3333

4/3=1.3333 so 2/1.5=4/3

y=mX+b

m= slope

b= Initial Value

3/2x+5=-3x-3 what is the value of x?​

Answers

3x x 2 + 5 = -3x - 3
6x + 3x = -5-3
9x = -8/-9 (we simplify the - )
Which means x = 8/9

$2665 is compounded annually at a rate of 9% for 1 year

Answers

Answer:

$2675

Step-by-step explanation:

If RX = 2y + 2x, XT = 3y - 1, and US = 28 find the values of x and y.

Answers

Answer:

Step-by-step explanation:

The question is in this image.

Suppose that from a standard deck, you draw three cards without replacement. What is the expected number of spades that you will draw

Answers

Answer: The expected number of spades that you will draw is 0.751 spades

Step-by-step explanation:

The expected value can be calculated as:

∑xₙ*pₙ

Where xₙ is the n-th event, and pₙ is the probability of that event.

First, let's count the possible events and calculate the probability for each one.

x₀ = drawing 0 spades.

Out of 52 cards, we have only 13 spades, then 52 - 13 = 39 are not spades.

Then the probability of not drawing a spade in the first draw is:

p1 = 39/52

In the second draw we will have a card less than before in the deck (so we have 38 cards that are not spades, and 51 cards in total), then the probability of not drawing a spade is:

p2 = 38/51

And with the same reasoning, in the third draw the probability is:

p3 = 37/50

The joint probability for this event will be:

p₀ = p1*p2*p3 = (39/52)*(38/51)*(37/50) = 0.413

Second event:

x₁ = drawing one spade.

Let's suppose that in the first draw we get the spade, the probability will be:

p1 = 13/52

In the second draw, we get no spade, then the probability is:

p2 = 39/51

in the third draw we also get no spade, the probability is:

p3 = 38/50

And we also have the case where the spade is drawn in the second draw, and in the third draw, then we have 3 permutations, this means that the probability of drawing only one spade is:

p₁ = 3*p1*p2*p3 = 3*(13/52)(39/51)*(38/50) = 0.436

third event:

x₂ = drawing two spades:

Let's assume that in the first draw we do not get a spade, then the probabilities are:

p1 = 39/52

p2 = 13/51

p3 = 12/50

And same as before, we will have 3 permutations, because we could not draw a spade in the second draw, or in the third, then the probability for this case is:

p₂ = 3*p1*p2*p3 = 3*( 39/52)*(13/51)*(12/50) = 0.138

And the last event:

x₃ = drawing 3 spades.

The probabilities will be:

p1 = 13/52

p2 = 12/51

p3 = 11/50

And there are no permutations here, so the joint probability is:

p₃ = p1*p2*p3 = (13/52)*(12/51)*(11/50) = 0.013

Now we can calculate the expected value:

EV = 0*0.413 + 1*0.436 + 2*0.138 + 3*0.013 = 0.751

The expected number of spades that you will draw is 0.751 spades

What is 3/4 divided by 12?​

Answers

Answer: 0.0625

Step-by-step explanation:

in the given figure, the side BC is produced to
the points o and E both sides. Prove that

ABE + ACD+ BAC = 180​

Answers

Can you please provide a picture so I can assist you with an answer to your question?

x+4=6 find out the value of x​

Answers

Answer:

Step-by-step explanation:

x=2

X+4= 6

Move + 4 to the other side to get X by itself

Sign changes from +4 to -4

X+4-4=6-4

X=6-4

X= 2

Answer: X= 2

The hypotenuse of a right triangle is 13ft long. The longer leg is 7ft longer than the shorter leg. Find the side lengths of the triangle.

Answers

Answer:

The side lengths are 5, 12, 13

Step-by-step explanation:

These are the side lengths we know before we have solved the problem.

a= x   b= x+7   c= 13

If we put this into the Pythagorean theorem, we get

[tex]13^{2} = x^{2} +(x+7)^{2}[/tex]

Expand

[tex]169 = 2x^2+14x+49\\[/tex]

Subtract 169 from both sides

[tex]0 =2x^2+14x-120[/tex]

Solve using the quadratic formula

a= 2   b= 14   c= -120

[tex]\frac{-14\pm \sqrt{14^2-4\cdot \:2\left(-120\right)}}{2\cdot \:2}[/tex]

[tex]x= \frac{-14\pm \:34}{2\cdot \:2}[/tex]  

If we separate the solutions we get

[tex]x= \frac{20}{4} = 5[/tex]

and

[tex]x= \frac{-48}{4} = -12[/tex]

Since this is a question about length, we can ignore the negative.

So the longer leg is 12ft and the shorter leg is 5ft

The shorter length is 5feet and the longer length is 12 feet

Let the shorter leg = x

Let the longer leg = x+7

Therefore,

x² + (x+7)² = 13²

x² + x² + 14x + 49 = 169

Collect like terms

2x² + 14x + 49 - 169 = 0

2x² + 14x - 120 = 0.

Divide by 2

x² + 7x - 60

By using quadratic equation

x² + 12x - 5x - 60

x(x + 12) - 5(x + 12)

Therefore, x - 5 = 0

x = 0 + 5.

x = 5

The shorter length is 5ft

Longer length = 5+7 = 12 feet

Read related link on:

https://brainly.com/question/19574344

Given that 12x=15y, identify the ratio of x to y in simplest form.

Answers

This is your perfect answer.


Simplifying
12x = 15y

Solving
12x = 15y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '12'.
x = 1.25y

Simplifying
x = 1.25y

Answer:

I got 4x=5y sorry if i'm wrong

Angie and her friends ate 3/4 of a pizza. Her brother Joe ate 2/3 of what was left, How much of the original pizza did Joe eat? Please and thank you!

Answers

so change the fraction to 9/12, and her brothers to 6/12, subtract the 2, and you get 3/12, simplist form, he hate 1/4 of the pizza
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