14.
Geographers keep track of how many people live in different areas of the world. They are
especially interested in how the populations of certain area change. The table below shows
the population of different regions in 1985 and in 2005.
Place
Earth
China
India
United States
Population
1985
2005
4.9 x 10
6.4 x 109
1.1 x 10° 1.3 x 10°
7.6 x108 1.1 x 10°
2.4 x108 3.0 x108
9. In 2005, how many times greater than China's population is the population of the world?
10. How many more people inhabited Earth in 2005 than in 1985?
15.

Answer:

169.65

Step-by-step explanation:

43.95x4= 175.80 175.80x3.5=6.15 175.80-6.15=169.65

=========================================================

Explanation:

Recall that quadratic form is ax^2+bx+c.

So we need an x^2 term followed by an x term, then a constant at the end.

It may not look it, but the given equation is nearly in quadratic form.

Rewrite 9^(2x) as (9^x)^2

We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0

From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0

From here we can use the quadratic formula or factor. I'll factor.

w^2 - 2w - 3 = 0

(w - 3)(w + 1) = 0

w-3 = 0 or w+1 = 0

w = 3 or w = -1

---------------------

Now we use these values of w to find x

If w = 3, then,

w = 9^x

3 = 9^x

log(3) = log(9^x)

log(3) = x*log(9)

x = log(3)/log(9)

x = log(3)/log(3^2)

x = log(3)/(2*log(3))

x = 1/2

At the last step, we have the log(3) terms cancel.

Repeat for w = -1

w = 9^x

-1 = 9^x

log(-1) = log(9^x)

We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.

In short, w = -1 is extraneous so it doesn't lead to any x value solution.

So only w = 3 is useful.

Ultimately, the only solution is x = 1/2.

Answer:

$32.41

Step-by-step explanation:

Given that:

[tex]\begin{center}\begin{tabular}{ c c }Type of Meat & Cost per pound \\Beef & \$5.99 \\Chicken & \$4.79\\Pork & \$3.64\\\end{tabular}\end{center}[/tex]

Amount of pork bought by Jeff = 1.5 pounds

Amount of beef bought by Jeff = 2.5 pounds

Amount of chicken bought by Jeff = 2.5 pounds

Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.

Cost of pork for 1.5 pounds = 1.5 [tex]\times[/tex] 3.64 = $5.46

Cost of beef for 2.5 pounds = 2.5 [tex]\times[/tex] 5.99 = $14.975

Cost of chicken for 2.5 pounds = 2.5 [tex]\times[/tex] 4.79 = $11.975

Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41

Answer:

33.33% increase. 55.56% increase.

Step-by-step explanation:

Answer:

C. 1.5

Step-by-step explanation:

replace the values in the equation with the values given.

Answer:

I think it will be C. 1.5

Answer:

B, C, D, F, H, J, K

Step-by-step explanation:

all those that I put are right I promise

hope this helped

Answer:

ABC = DEF

CBA = FED

B = E

C = F

A = D

AB = ED (actually, AB = DE ;w;)

AC = DF

CB = FE

Step-by-step explanation:

Answer:

C. 121cm2

Step-by-step explanation:

The area of a circle is pir^2.

Let pi be rounded to 3.14 and r = 6.2cm

6.2^2*3.14 = 120.76, which rounds to 121cm2

Answer:

Step-by-step explanation:

area of a circle = π r²

                         = π (6.2)²

                         ≈ 21 cm²

Answer:

I agree with both.

Step-by-step explanation:

If it's $3 per dozen that would be $0.25 per muffin because

3÷ 12 = 0.25

And if Andre has $2 than he can only afford 8 muffins because

0.25 x 8 = 2

And if Elena wants 16 muffins

16 x 0.25 = 4

So she will have to pay $4.

Hope this makes sense and helps!

Answer:she worked 17 hours

Step-by-step explanation: 10×17=170+42=212

Answer:

She worked 16.4 hours

Step-by-step explanation:

Answer:

f(6) = g(3)

Step-by-step explanation:

Which statement is true regarding the functions on the graph?

f(6) = g(3)

f(3) = g(3)

f(3) = g(6)

f(6) = g(6)

Solution:

g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:

g(x) = y

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]

f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:

f(x) = y

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]

f(6) = x-3 = 6 - 3 = 3

g(3) = x + 3 = 3 + 3 = 3

f(6) = g(3)

Answer:

1/4

Step-by-step explanation:

5 plus 7 equals to 12

3 football games

3/12=1/4

Answer: $11.45

Step-by-step explanation:

Arriving 15minutes late simply means 15/60 = 1/4 of the wages has been lost. We then multiply 1/4 by each person's wage. This will be:

Derek = 1/4 × $10.00

= $2.50

Sam = 1/4 × $11.80

= $2.95

Penny = 1/4 × $11.00

= $2.75

Zachary = 1/4 × $13.00

= $3.25

The amount lost will be:

= $2.50 + $2.95 + $2.75 + $3.25

= $11.45

Answer:

12+(x-13)

Step-by-step explanation:

the difference of x and 13 is subtraction and then added to 12 is addition.

Answer:

x = 30 is the answer

Step-by-step explanation:

proportions

Step-by-step explanation:

42.4

-

7.32

----

move the decimal

42.40

07.32

-------

35.08

Answer:

95

Step-by-step explanation:

I hope this help

(-19)×(-5)

Answer:

y=-3x+6

Step-by-step explanation:

(y-y1)=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(-3-6)/(3-0)

m=(-9)/(3)

m=-3

(choose whichever point for the first formula, i will be using(0,6))

(y-6)=-3(x-0)

y-6=-3x

y=-3x+6

Answer:

10.91

Step-by-step explanation:

40.54-29.63= 10.91

BRAINLIEST ARE ALWAYS APPRECIATED :)

Answer:

10.91

Step-by-step explanation:

40.54

-  29.63

_______________

10.91

Answer:

[tex]x-200+y[/tex]

Step-by-step explanation:

We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:

Previous balance - Payments + Total Purchases = New balance

where, previous balance = $1000; payments = $800; total Purchases = y

New balance = [tex]1000-800+y[/tex]

Next, to find her Credit balance or current available; we use the formula; Credit line - New balance

where credit balance = x; new balance =  [tex]1000-800+y[/tex]

Current available credit = [tex]x-200+y[/tex]

Answer:

it is a

Step-by-step explanation:

Answer:

a

Step-by-step explalan

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

For values of x less than zero, the graph of the function is a graph of the line

  y = -x

Because the function is defined by this expression at x=0, there will be a solid dot at the end of the line there, at (0, 0).

__

For values of x greater than 0, the graph of the function is a graph of the line

  y = -x -2

This line has the same -1 slope as before, but has a y-intercept of -2. The function is not actually defined as (0, -2), so there is an open circle at the end of the line there.

Answer:

its (-5 -5.9)

Step-by-step explanation:

i got id right on edg

Answe

22 is your answers ....

Answer:

5j-25

Step-by-step explanation:

Answer:

5j - 25

Step-by-step explanation:

Distribute #5 among j and -5

Answer: all i can say is this for an edu guess

2 6 and 4 would be 40 or 30

3 5 and 7 would be 110 or 120

8 would be 20 or 10

also this was the first answer

Answer:

0

Step-by-step explanation: Angle 1 and 3 would be equal to 110 degrees because they are vertical

Angle 2 would be 70 degrees because a straight line is 180 degrees so you do 180 - 110 to get 70 degrees for angle 2

Angle 4 would be the same as angle 2 since they are vertical so angle 4 is 70 degrees

Angle 5 is corresponding to 1 so they will have the same angle

Angle 6 is corresponding to 2 so they will have the same angle

Angle 7 is vertical to 5 so they will have the same angle

Angle 8 is vertical to 6 so they will have the same angle

Angle 1 - 110

Angle 2 - 70

Angle 3 - 110

Angle 4 - 70

Angle 5 - 110

Angle 6 - 70

Angle 7 -110

Angle 8 -70

Lol sorry this took long to type hope this helps dude ! ^-^

Answer:

5765/574

Step-by-step explanation:

there u go lol

Answer:

f(x)^-1 = 3x-3/x

Step-by-step explanation:

f(x) =-3/x-3

y= -3/x-3

x=-3/y-3

-3= (y-3)x

-3= xy-3x

-xy=-3x + 3

y= -3x +3/x

y= 3x-3/x

f(x)^-1 = 3x-3/x