Someone help and plz make sure it’s right

Answer:

Avg rate of change =

[ f(14 ) - f(8) ] / [ 14 - 8 ] =

[ ( √ [14 - 4] ) - (√ [8 - 4]) ] / 6 =

[ √10 - √4 ] / 6 =

0.19

Given:

The initial population of rabbit = 8

Population of rabbits doubles every 4 months.

To find:

The number of population in 1 year.

Solution:

The exponential growth model is

[tex]y=a(b)^x[/tex]          ...(i)

Where, a is the initial population, b is growth factor, x is time period.

We know that,

12 month = 1 year

So, there are 3 time period of 4 months in an year.

Initial population of rabbit (a) = 8

Population of rabbits doubles every 4 months. So, growth factor is 2, i.e., b=2 and the time period is 3, i.e., x=3.

Putting a=8, b=2, x=3 in (i), we get

[tex]y=8(2)^3[/tex]

[tex]y=8(8)[/tex]

[tex]y=64[/tex]

Therefore, the population of rabbit in 1 year will be 64.

9514 1404 393

Answer:

  ∠D = 68°

Step-by-step explanation:

In a quadrilateral that is inscribed in a circle, opposite angles are supplementary.

  ∠D = 180° - ∠B

  ∠D = 180° -112°

  ∠D = 68°

Answer:

8x+3 is not factorable

Step-by-step explanation:

Answer:14

Step-by-step explanation:

The measure of C'D' is 14.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Triangle CDE is dilated by a scale factor of 1/3 to form triangle C'D'E'.

This means,

CD = 42

C'D' = 1/3 x 42 = 14

Thus,

C'D' is 14.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ2

Answer:

1 or 2

Step-by-step explanation:

8x + 4x < 36

the number x could either be 1 or 2

Answer:

Step-by-step explanation:

The slope of the line y = (x/4) - 23/4 is 1/4.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The points,

x → y

-4 → -3

1   →  -2

6 →   -1

11  →   0

From the table, we interpreted 2 points (-4, -3) and (11, 0)

If a line passes through two points (x₁ ,y₁) and (x₂, y₂),

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (0+3) / (11+4)

m = 1/5

So, the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁)  (x - x₁)

y - y₁ =m (x - x₁)

y +3 = (1/4) (x -11)

y = (x / 4) - 11/4 -3

y = (x/4) - 23/4

Therefore, the slope of the line is m = 1/5.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

Answer:

-1

Step-by-step explanation:

-5 -(-4)

- 5 + 4  =    (two negatives together make a positive sign)

-1

Answer:

-1

. . .. . . . . . . . . .. . . . .

Answer:

11y²

Step-by-step explanation:

Subtract 5y² from 16y²

Answer:

11y^2

Step-by-step explanation:

16y^2 and -5y^2 are "like terms," so can be added:

16y^2

- 5y^2

-----------

11y^2

Subtract 9a from -15a:

-15a

- 9a

-------

-24a

Answer: 40 x  (76+35)

Step-by-step explanation:

Given: Every week Abeke earned,

$76 by selling ice cream

$35 by delivering newspapers.

i.e. Total amount earned in 1 week = $ (76+35)

Now Total amount earned in 40 weeks = 40 x  (76+35)

The numerical expression to show how much money( in dollars) Abeke earned in 40 weeks = 40 x  (76+35)

We have to simplify it to get the total money earned in 40 weeks i..e. $4440.

Answer:

2

Step-by-step explanation:

.48 rounds down

.5 rounds up

Answer:

I think it's 15

Step-by-step explanation:

Volume is basically just adding length, width, and height

Answer:

The "power rule" tells us that to raise a power to a power, just multiply the exponents.

Step-by-step explanation:

math

Answer:

A). 459 B). x ≤ 6 C). $2.20 for one bowl

Step-by-step explanation:

Answer:

Choice 1

Step-by-step explanation:

Answer:

x<-1 and Number 1

Step-by-step explanation:

:)

Answer:

question not clear. Where is the table?

Answer:

Median?

Step-by-step explanation:

Question is kinda unclear.

Mean: Average of the data values

Median: Middle of all the data values

Mode: Amount of times a value appears

Range: Difference between largest and smallest values.

Answer:

the top one is 25

Step-by-step explanation:

the second one is 112

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

Answer:

21. 27 22. 6

Step-by-step explanation:

21 is 27 because 9 times a dozen (12) times equals 108.  !08 splited by 4 is 27.  

For 22 112-70 is 42.  There are 7 seats per row so 42/7= is 6 empty rows.

Answer:

c) 500

Step-by-step explanation:

3% = 0.03

multiply the decimal from of 3% by 500:

500 x 0.03

solve:

500 x 0.03 = 15

Answer:

12

Step-by-step explanation:

if one group has 4,and there are a total of 16,

16-4=12.

In each identical group, there are 6 each.

Answer:

second option:  b = 0.8, h = 20

Step-by-step explanation:

areas are as follows:

14

16

13.5

14

Answer:

36+6y

Step-by-step explanation:

you have to multiply 6 on 6+y because distributive property basically means to share out so you do 6(6)+(6)y

6(6) equals 36 (6x6) and 6(y) is just 6y

36+6y

Answer:

Perimeter of trapezoid = 25.66 cm

Step-by-step explanation:

Trapezoid ABCD contains two triangles ΔABF, ΔCDE and a square with side length 4 cm.

By applying Pythagoras theorem in ΔABF,

AB² = BF² + AF²

AB² = 4² + 3²

AB = [tex]\sqrt{16+9}[/tex]

AB = 5 cm

Similarly, By applying Pythagoras theorem in ΔCDE,

CD² = DE² + CE²

CD² = 4² + 4²

CD = [tex]\sqrt{32}[/tex]

CD =5.66 cm

Perimeter of the given trapezoid = AB + BC + CD + AD

= 5 + 4 + 5.66 + (3 + 4 + 4)

= 25.66 cm

Answers:

No sé lo que eso significa, pero ¿puedes marcarme mentalmente?

Step-by-step explanation: