After the last ice age began, the number of animal species in Australia changed rapidly.

The relationship between the elapsed time, t, in years, since the ice age began, and the total number of animal species, S(t), is modeled by the following function:
S(t)=4,200,000⋅(0.72)t

Complete the following sentence about the yearly percent change of the number of animal species.

Every year, _______ percent of species are SUBTRACTED/ADDED from the total number of animal species.

Answer:

12 inches

Step-by-step explanation:

All you have to do is divide 72 by 6.

72 divided by 6 equals 12.

So your answer would be D.12 inches

Answer:

y = 0.2(0.5)^x

Step-by-step explanation:

Exponential function are of the form

y = ab^x

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

To find "a" plug in x = 0 y = 0.2

0.2 = a(0.2)^0

0.2 = a

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

To find "b" plug in another point and a = 0.2

using x = 2, b = 0.05

0.05 = 0.2b^2

Divide both sides by 0.20

.25 = b^2

Take the square root of both sides

0.5 = b

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

With a = 0.2 and b = 0.5 the equation becomes

y = 0.2(0.5)^x

Answer:

4.692 to 7.308

Step-by-step explanation:

Given :

n1 = 25 ; n2 = 20 ;

Mean x1 = $12 ; mean x2 = $6

Standard deviation, s1 = 3 ; s2 = 1

Confidence interval :

(x1 - x2) ± t*√(s1²/n1) + (s2²/n2)

x1 - x2 = (12 - 6) = 6

√(s1²/n1) + (s2²/n2) = √(3²/25) + (1²/20) = 0.640

Degree of freedom :

((s1²/n1) + (s2²/n2))² / (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1

Numerator = 0.1681

Denominator = 0.0054 + 0.0001315 = 0.0055315

Degree of freedom = 0.1681 / 0.0055315 = 30.38 = 30

Tcritical at 0.05, df = 30 = 2.042272

Hence ;

6 ± 2.042272(0.640)

6 ± 1.30705408

Lower boundary = 6 - 1.30705408 = 4.69294592

Upper boundary = 6 + 1.30705408 = 7.30705408

(4.693 ; 7.307)

Answer:

280

Step-by-step explanation:

Answer: b is correct

Step-by-step explanation: i did this

The area of rectangle ABCD is 34 square unit.

In a cartesian plane there are two coordinates as P(a, b) and Q(c, d) then the distance between these points are

PQ = √(c- a)² + (d- b)²

We have Coordinates of rectangle

A(-1, 4), B(3, 3), C(1, -5) and D(-3, -4)

Using Distance Formula

AB = √ (3-4)² + (3+1)²

AB = √1 + 16

AB = √17 unit

Now, CB = √(-5-3)² + (1-3)²

CB= √ 64 + 4

CB = √68

CB = 2√17 unit

So, the area of Rectangle ABCD is

= l w

= √17 x 2√17

= 2 x 17

= 34 square unit

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Answer:

55.5 is the I guess........

Answer:

.75

Step-by-step explanation:

Conditonal probability formula:

A|B= (A∩B)/B

let NH= Not heart

Let F= Face

NH|F= NH∩F/F

not hearth and face is 9

face is 12

9/12=.75

Answer:

The numbers are 6 and 2

Step-by-step explanation:

Given this scenario, we can set up the following equations:

x + y = 8

x² + y² = 40.

___________

x + y = 8

y = 8 – x

(y)² = (8 – x)²

y² = (8 – x)²

x² + y² = 40

x² + (8 – x)² = 40

x² + 64 – 16x + x² = 40

2x² – 16x + 64 = 40

2x² – 16x = -24

2(x² – 8x) = -24

x² – 8x = -12

x² – 8x + 12 = 0

(x – 6)(x – 2) = 0

x = 6 or 2.

x + y = 8 →

(6 or 2) + y = 8

y = 8 – (6 or 2)

y = 2 or 6.

___________

x + y = 8 →

6 + 2 = 8 →

8 = 8 ✓

x² + y² = 40 →

6² + 2² →

36 + 4 = 40 →

40 = 40 ✓

Answer:

Hence, the probability of a successful site is :

[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]

Step-by-step explanation:

Given :

[tex]7[/tex] of the [tex]14,XYZ[/tex] sites have had [tex]95\%[/tex] or higher widget production success rate in the last month

To find :

The probability that a successful site will be selected.

We can select  either of [tex]8[/tex] sites out of [tex]9[/tex].

These [tex]8[/tex] sites can be selected in [tex]8[/tex] ways.

Total sites[tex]=9[/tex]

Therefore, the probability of a successful site is :

[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]

Given:

The polynomial is:

[tex]P(x)=ax+b[/tex]

To find:

Whether [tex]x=-\dfrac{b}{a}[/tex] is a zero of the given polynomial or not.

Solution:

We have,

[tex]P(x)=ax+b[/tex]

Putting [tex]x=-\dfrac{b}{a}[/tex], we get

[tex]P(-\dfrac{b}{a})=a(-\dfrac{b}{a})+b[/tex]

[tex]P(-\dfrac{b}{a})=-b+b[/tex]

[tex]P(-\dfrac{b}{a})=0[/tex]

Since the value of the given polynomial is 0 at [tex]x=-\dfrac{b}{a}[/tex], therefore [tex]x=-\dfrac{b}{a}[/tex] is a zero of the given polynomial.

Answer:

Shipping Fee = $ 6

Step-by-step explanation:

The complete question and the table is as follows :

Given - Julio is ordering books from Best Books for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order. Best Books charges the same shipping fee for every book order.

To find - How much is the shipping fee?

Proof -

We know that,

Total Cost = (Number of books buy)(Cost of 1 book) + Shipping Fee

Let us Assume that,

Cost of 1 book = x

Shipping Fee = y

So,

From the table, we get

21 = 5x + y               ..........(1)

36 = 10x + y              ..........(2)

51 = 15x + y               ..........(3)

66 = 20x + y             ..........(4)

From equation (1), we get

y = 21 - 5x

Put the value of y in equation (2), we get

36 = 10x + 21 - 5x

⇒36 = 5x + 21

⇒5x = 36 - 21

⇒5x = 15

⇒x = [tex]\frac{15}{5}[/tex] = 3

∴ we get

x = 3

Put the value of x , we get

y = 21 - 5(3)

  = 21 - 15

  = 6

⇒y = 6

SO, we get

x = 3

y = 6

Verify the 4 Equations :

21 = 5x + y               ..........(1)

21 = 5(3) + 6

    = 15 + 6

    = 21

⇒21 = 21

Verified

36 = 10x + y              ..........(2)

36 = 10(3) + 6

     = 30 + 6

     = 36

⇒36 = 36

Verified

51 = 15x + y               ..........(3)

51 = 15(3) + 6

    = 45 + 6

    = 51

⇒51 = 51

Verified

66 = 20x + y             ..........(4)

66 = 20(3) + 6

     = 60 + 6

     = 66

⇒66 = 66

Verified

So, we get

Cost of 1 book = x = $ 3

Shipping Fee = y = $ 6

Answer: just multiply the same sides that same number and that add the answers all together

Step-by-step explanation:

Answer: +3

Step-by-step explanation:

5 + (-2) ( + × - = - )  ∴ 5 - 2 = 3

Answer:

Lauren saves $4,200 and Harold saves $1,050 after 6 months.

Step-by-step explanation:

700 × 6

175 × 6

Answer:

(Sqrt)2/2

Step-by-step explanation:

Answer:

19-x

the expression that show how many bacon pancakes Mackenzie is 19 - x

Answer:

Runner A

Step-by-step explanation:

most consistent pace dots are close together and don't have any outliers like b and c do

Answer:

70cm

Step-by-step explanation:

Perimeter of square= 4×Side

280/4=Side

70=Side

70cm

hope it helps

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

Perimeter of square = 4a

280 = 4a

a =

[tex]280 \div 4 = 7 0 [/tex]

Answer:

35C12 = 834451800

Step-by-step explanation:

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

The solution of the given expression is 3.33  x  10⁹.

The arrangement of the different things or numbers in a number of ways is called the combination.

The solution will be:-

[tex]^{35}{C_{12}=\dfrac{35!}{12!\ 23!}\\\\\\\\\\\\\\^\\35}{C_{12}=\dfrac{35\times 34\times 33\times32\times 31\times 30\times 29\times 28\times 27\times 26\times 25\times 24}{12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times }\\\\\\[/tex]

[tex]^{35}{C_{12}=3.33\times 10^9[/tex]

Therefore the solution to the given expression will be [tex]^{35}{C_{12}=3.33\times 10^9[/tex]

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Answer:

a=62

Step-by-step explanation:

11a + 9c=2482 equation 1

a + c = 262 equation 2

a=262-c isolate value of a in equation

11(262-c) + 9c = 2482 substitute value of a (262-c) into equation 2

2882-11c + 9c= 2482 solve

-2c=-400

c=200

a+c=262

a+200=262

a=62

Check answer:

11a + 9c=2482

11(62)+9(200)=2482

682+1800=2482

2482=2482

Answer:

4th Option, [tex]\frac{12}{5}[/tex]

Hope this helps!

Answer: it’s true i just did the quiz

Step-by-step explanation:

Chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

O is the center of the Circle

Chord BC is the line segment passing from the center of circle

Chord is a line segment whose end points lies on the circle.

Diameter is defined as a line segment passing from the center of the circle whose end point lies on the circle.

A chord that passes through the centre of a circle is called a diameter, and it is the longest chord.

Hence, chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

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Answer:

2/3

Step-by-step explanation:

Answer:

MAYBE

Step-by-step explanation:

Answer:

Option B. m(n) = –5.75 –¼n

Step-by-step explanation:

The sequence is given below:

–6, –25/4, –13/2, –27/4, –7

Next, we shall determine the common difference.

Common difference (d) = 2nd – First

2nd term = –25/4

First term = –6

d = –25/4 – – 6

d = –25/4 + 6

d = –6.25 + 6

d = –0.25 = –¼

Finally, we shall determine the nth term

Tₙ = a + (n –1)d

First term (a) = –6

Common difference (d) = –¼

Tₙ = a + (n –1)d

Tₙ = –6 + (n –1)–¼

Tₙ = –6 –¼n + ¼

Tₙ = –6 + ¼ –¼n

Tₙ = –6 + 0.25 –¼n

Tₙ = –5.75 –¼n

Thus, the nth term is given by:

m(n) = –5.75 –¼n

Answer:

Cna you please put a image, I would like that so much so I can help you?

Step-by-step explanation: