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anastassius [24]
3 years ago
11

Simplify 4(6 - 2x) - 3(3 - 4x)

Mathematics
1 answer:
adell [148]3 years ago
8 0
4(6-2x)-3(3-4x)
24-8x-9+12x
15+4x
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Emma needs 2 pounds of ground meat to make a meatloaf.she has one package with 2.09 pounds of ground meat and another with 2.09
vladimir2022 [97]
Mma can see that 2.09 is closer to 2 than 2.36.
4 0
3 years ago
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
EThe graph of a quadratic function passes through the points (6,0) and (p,0). The maximum point
MA_775_DIABLO [31]

Answer:

p = - 5

Step-by-step explanation:

The vertex of the function is (0.5, 30.25 )

Since the roots are (6, 0) and (p, 0) then the axis of symmetry is vertical

with equation x = 0.5

The axis of symmetry passes through the midpoint of the roots, thus

\frac{6+p}{2} = 0.5 ( multiply both sides by 2 )

6 + p = 1 ( subtract 6 from both sides )

p = - 5

6 0
3 years ago
Solve -103 = 6x + 17.<br><br> (A) -16<br> (B) 16<br> (C) -20<br> (D) 20
andrew11 [14]
The correct answer is C (-20) let me know if you want to know how I got that answer
3 0
3 years ago
Read 2 more answers
A the fraction one half kilogram of flour is packed equally into 8 bags. How much flour is in each bag
marissa [1.9K]

Answer:

0.0625 kg per bag

or 1/16th of a kilogram per bag

Step-by-step explanation:

You'd need to divide the total amount the the number of sections.

In this case, it'd be 0.5 kg/8 bags, resulting in 0.0625 kg of flour per bag.

I hope this helps!

6 0
3 years ago
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