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Alla [95]
3 years ago
15

Subtract h + 3 from 67 + 1.

Mathematics
1 answer:
Elza [17]3 years ago
5 0

65-h

like this? I think it is right

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The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)
BaLLatris [955]

Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

1)

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

A = 2082.8571 ; 2083 million people

3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

3 0
3 years ago
If f=ma, what is the value of f when m=5 and a=3?
Feliz [49]
The answer is:  15 .
__________________________                                                _____
{Note:  If this is a physics problem ; and the formula: "F = m*a" is for:  
    "Force = mass * acceleration" ;  be sure that the correct units are used!}.
_______________________________________________________
Explanation:
_______________________________
 F = m * a ;

Given m = 5 ;
        
           a = 3 ;
___________________
 F = 5 * 3 = 15 .
_____________________
3 0
3 years ago
1) What is common ration of the geometric sequence 500, 200, 80, 32, ...?
IgorLugansk [536]

Answer:

D

Step-by-step explanation:

The numbers are getting divided by 2.5 each time

7 0
3 years ago
I did it wrong the first time
kvv77 [185]

Answer:

4.6

Step-by-step explanation:

For this question, we need the opposite side and have the opposite

with that said, out of SOH, CAH, TOA it's fastest to use TOA

tan(75)=17/x

17/(tan(75))=x

x= 4.555136271

which rounds to

4.6

4 0
3 years ago
Read 2 more answers
What is the range of the function f(x) =4x-1 when the domain is -3 ,0,4 ?
dedylja [7]

Answer:

The range of this function is {-13, -1, 15}.

Step-by-step explanation:

Evaluate f(x) = 4x - 1 at {-3, 0, 4}:

f(-3) = -13

f(0) = -1

f(4) = 15

The range of this function is {-13, -1, 15}.

3 0
3 years ago
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