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

help please! 16 points

Answers

Answer:

3

Step-by-step explanation:

divide the top number by the bottom to always find the constant of proportionality :D

Answer:

3

Step-by-step explanation:

y is being multiplied by 3  to get the x values. Hope this helped you!! Give brainliest.

Think about using decimal models to show 6.84. If you only used tenths what place would you not be able to model? How many tenths would you use to model the other two places?

Answers

Step-by-step explanation:

plase see it i work by paper worksheet

how do i right the half of x pls help will give brainliesst answer

Answers

Answer:[tex]\frac{1}{2}[/tex]x or x/2

Step-by-step explanation:


Refer to - KLMN •
3r
M
2y
3 cm
ס
60°
K
N
x + 4 cm
What is the length of LM in cm?

Answers

Answer:

[tex]LM = 6cm[/tex]

Step-by-step explanation:

[tex]LM = KN[/tex]

[tex]3x =x + 4[/tex]

[tex]3x - x = 4[/tex]

[tex]2x = 4[/tex]

[tex] \frac{2x}{2} = \frac{4}{2} [/tex]

[tex]x = 2[/tex]

then

[tex]LM = 3x[/tex]

[tex]LM =3 \times 2[/tex]

[tex]LM = 6cm[/tex]

please help asap please​

Answers

Answer:

abcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

Suppose you have 20 coins that total $4.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?

Answers

Answer:

The answer is below,

Step-by-step explanation:

n+q=205n+25q=400

I hope this helps! :)

Coach De Leon purchases sports equipment Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00

Part A: Use the drop downs to create an inequality that represent the situation Lets represent the number of soccer balls and let b represent the number of basketballs.

________ ____ ______

Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase?

A) 4 basketballs and 6 soccer balls
B) 5 basketballs and 2 soccer balls
C) 2 basketballs and 7 soccer balls
D) 6 basketballs and 5 soccer balls

Answers

Answer: B  -   5 basketballs and 2 soccer balls

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Write 2 equations needed to solve this problem

Answers

Answer:

x = - 8, x = - 6

Step-by-step explanation:

Given

8 | x + 7 | - 3 = 5 ( add 3 to both sides )

8 | x + 7 | = 8 ( divide both sides by 8 )

| x + 7 | = 1

The expression inside the bars can be positive or negative, thus

x + 7 = 1 or - (x + 7) = 1 ← 2 equations to be solved

x + 7 = 1 ( subtract 7 from both sides )

x = - 6

or

-(x + 7) = 1

- x - 7 = 1 ( add 7 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

PLEASE HELP i’ll mark brainliest!!

Answers

Answer:

[tex] { \boxed{(x - 3)}}^{2} = \boxed{16}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 2x - 7 = 8x \\ \\ {x}^{2} + 2x - 8x = 7 \\ \\ {x}^{2} - 6x = 7 \\ \\ {x}^{2} - 6x + {3}^{2} = {3}^{2} + 7 \\ \\ {(x - 3)}^{2} = 9 + 7 \\ \\ { \boxed{(x - 3)}}^{2} = \boxed{16}[/tex]

Pls help me with this ASAP

Answers

The answer is the first option, 3/1

Evaluate the following absolute value function for x=-1
y = 5|x+4|

Answers

Answer:

y=15

Step-by-step explanation:

y = 5|-1+4|

y=5|3|

y=15

Which two traits are aquired during a person's lifetime?

Answers

Answer

D and A?

Step-by-step explanation:

Use the Distributive Property to expand the expression -3(6.3x + 1.5y)

Answers

Answer:

(-3*6.3x)+(-3*1.5y)

(-18.9x)+(-4.5y)

I'm walking and walking

Answers

Answer:

Chicken feed

Step-by-step explanation:

Chicken feed: .70

Goat feed: .80

Dog feed: .75

Pig feed: .79

Answer:

Goat Feed

Step-by-step explanation:

Chicken- 1.40

Goat- 1.25

Dog- 1.33

Pig- 1.265823

Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?
O x = -2, x = -8
O x = -2, x = -6
O x = -2, x = 6
O x = -2, x = 8

Answers

When x = -2, x = 6 is the answer.

what are the coordinates of the point X'if the image is rotated 90° counter clockwise​

Answers

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative

I need help with like 3 or 4 questions please help

Answers

Answer:

x=3y-6

Step-by-step explanation:

x−3y=−6

Step 1: Add 3y to both sides.

x−3y+3y=−6+3y

x=3y−6

Answer:

x=3y−6

Anwser x=3y-6
That is the anwser trust me

Please help pleaseeeeeeeeeeeeeeee

Answers

Answer:

y=2x+5

Step-by-step explanation:

This is a proportional relationship.The other one's are not true.

PLS Mark brainlist

Hope this helps:)

gyiftuerdtgyuhijovhfghdfgchbnm,

Answers

i’m pretty sure the answer is A:

A. 5/16

because 1/4 of 1 1/4 is 0.3125 which is 5/16 as a fraction.

0.3125 = 5/16

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:

What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points)

Answers

The answer is:

Substitute 49 for x

49 + 14 = 63

Hope this helps!

Answer:

49

Step-by-step explanation:

49 + 14 = 63

so that means:

x = 49

Sara went to breakfast with her family. What is the total cost is the sales tax is 6%?​

Answers

Answer:

divide/multiply

Step-by-step explanation:

search it up its simple

HELPP PLEASE FAST!! a store has televisions on sale for 20% off the original price. The original price of a television is 150 before the sale what will be the sale price of the television set

Answers

Method 1: A pure algebraic approach

The unknown in this problem is the percent of decrease. A percent of decrease is the percentage of the original price that was deducted from the original price to obtain the sale price. We could write a "word equation" for this process like this:

original price - (percent of decrease)(original price) = sale price

Since the percent of decrease is the unknown in this problem, we'll call the percent of decrease x%.

Here's what we know so far:

The original price was $200

The sale price was $170

The percent of increase was x%

Putting this information in our word equation gives us an algebraic equation:

200 - (x%)(200) = 170

What do we do with the percent sign in this equation? "Percent" means "out of 100", so x% means x out of 100, or . Now we have this:

200 - (200) = 170

Now we'll solve our equation:

200 - (200) = 170

200 - 2x = 170

-2x = -30

x = 15

So the percent of decrease is 15%

Method 2: A method involving pure arithmetic.

If we know the original price and the sale price, we can find the percent of decrease in two steps:

Find the amount of decrease

Divide the amount of decrease by the original amount

This will give us the percent of decrease (written as a decimal number). We can then write the decimal as an equivalent percent to find our final answer.

Let's use method 2 on the same problem:

Frank bought a new television set on sale. If the TV's original price was $200 and Frank paid $170 for the TV, what was the percent of decrease?

First, let's find the amount of decrease:

Amount of decrease = 200 - 170 = 30

So the price decreased by $30.

Next, we'll find the percent of decrease, and rewrite the decimal answer as a percent:

Percent of decrease =  = = .15 = 15%

So the percent of decrease is 15%

Before we leave the problem, let's check our answer:

Original price = $200

Price reduced by 15% of original price = 200(.15) = $30

Sale price would then be = $200 - $30 = $170

Our answer checks. We're done!    Me not know if correct.

What is the present value of ₱30,000 due in 27 months at 3% compounded annually?

Answers

Answer:

32,063.06

Step-by-step explanation:

the formula for compound interest: [tex]A = P(1+\frac{r}{n})^{nt\\}[/tex]

so to use this you are essentially solving for a.

p is the principle (or initial) amount deposited.

r is the rate (in percent)

n is the number of time periods compounded (like annually, monthly, weekly, or daily)

t is the time period (in years)

In this instance the formula looks like: [tex]A = 30,000(1+\frac{0.03}{1})^{1*2.25}[/tex]

You then solve for A using the formula. It is important to remember to use the order of operations

please help!!!!!! 13 points

Answers

Answer:

4.5 and 6

Step-by-step explanation:

Answer:

x 2 4 6 7   9

y 1 2 3 3.5 4.5

Step-by-step explanation:

can I have brainliest

i need help with 4th grade math please.thank you so much.​

Answers

Answer:

1. 42 Legs altogether

2. 7 Cats

3. There is many answers, one of them is their could be 15 people, their is many possible outcomes and that is one of them. :)

Step-by-step explanation:

Hope this helped!!

Answer:

1. 42 legs

2. 7 cats

Step-by-step explanation:

1. 3 x 8 = 24

2 x 4 = 8

5 x 2 = 10

add those and you get 42.

2.

28

4

Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -170 feet. Then she continued to hike down another 20 minutes at a different rate. Her change in elevation for this part of the hike was -260 feet. During which portion of the hike did she walk down at a faster rate?
PLEASE HELP

Answers

If you divide 170 by 10, you get:
170/10 = 17
I turned the -170 into a positive because when you divide them, you get 17 miles per minute, you can’t get -17 miles.
Then, you divide 260 by 20, and you get :
260/20 = 13
So, 17>13
Which means that’s Nola walked faster when she walked for 10 minutes.
I’m pretty sure that this is the answer, hope this helps. Do you mind making this brainliest?

A USB stick can store 1.1x10 power of 3
megabytes of data.
A hard drive can store 4x10 power of 4
megabytes of data.
How much more can the hard drive store?
Give your answer in standard form

Answers

Answer:

uhhh

Step-by-step explanation:

Answer:

3.82 x 10

Step-by-step explanation:

divide 4 x 10^4 by 1.1 x 10^3

4 divided by 1.1 is 3.81818181... and you subtract exponents to get 1

Please help fast, thanks.

Answers

Answer:

b

Step-by-step explanation:

d. she picked up at least 20, so it would be greater than or equal too.

In a right-angled triangle
, one acute angle is 30°. Find the other acute angle
VII CLASS MATHEMATICS​

Answers

Answer:

60°

Step-by-step explanation:

sum of all angles is 180

and it's a right-angled triangle so there is angle = 90

so  the other acute angle = 180-30-90=60°

Answer:

60

Step-by-step explanation:

90+30= 120

180-120= 60

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