Barney is an ecologist who studies the change in the tiger population of Siberia over time.
The relationship between the elapsed time t, in decades, since Barney started studying the population, and
the number of tigers, N(t), is modeled by the following function:
8
t
N(t) = 710•(8/125)^t
Complete the following sentence about the rate of change in the tiger population. Round your answer to two decimal places
two decimal places.

The tiger population loses 3/5 of its size every ______ decade.

Answer:

x = 3

Step-by-step explanation:

Applying Pythagoras' identity to the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + x² = ([tex]\sqrt{18}[/tex] )², that is

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Answer:

It affects the Mean by how many different numbers.

Step-by-step explanation:

Answer:

5.3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Since it is going up four and over one you would just simplify 4/1 to just being 4.

Answer:log(48) = 1.68124

Step-by-step explanation:

After checking for the values of log 48 and log 3, then the approximate value will be 1.08.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

log(48) = 1.68

log(3) = 0.48

Then, the approximate value of log 3 and log 48 will be: 1.08

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Answer:

points a and d because point a is -1 and 2/3 and point d is 1 and 2/3 so they are opposites

Answer:

72a^8b^6c^6

Step-by-step explanation:

Answer:

[tex]y=2x^2+4x+2[/tex]

Step-by-step explanation:

[tex]y=2(x+1)^2[/tex]

[tex]y=2(x^2+2x+1)[/tex]

[tex]y=2x^2+4x+2[/tex]

Answer:

2x-15

Step-by-step explanation:

Sara has x dollars

dina has 15 less which is

x-15

together it will be

x+x-15

=2x-15

Answer:

16π or 50.266

Step-by-step explanation:

Circumference formula is just 2πr ,and the radius is 8, so just sub into the formula

Answer: 25.12 cm

Step-by-step explanation:

The formula for the circumference of a circle is [tex]2\pi r[/tex], when r = the radius.

Diameter = 2 x radius = 8 cm. Therefore, the radius = 4 cm.

Plug r = 4 cm in to the circumference formula: [tex]2\pi (4)[/tex] = 8 x 3.14 = 25.12 cm.

Answer:

the answer is [tex]\sqrt{5\\}[/tex] , and - [tex]\sqrt{5\\}[/tex] which is C.

Step-by-step explanation:

well I got that answer by doing this

we have [tex]x^{2}[/tex]= 5

For [tex]x^{2}[/tex]= f (a) the solutions are x = [tex]\sqrt{f(a)\\}[/tex] , - [tex]\sqrt{f(a)\\}[/tex]

so in this case the solutions are [tex]\sqrt{5\\}[/tex], and - [tex]\sqrt{5\\}[/tex]

HOPE THIS HELPS :)

Answer:

20

Step-by-step explanation:

The hypotenuse is always the largest number and side length in a right triangle. We know the answer is 20 because it is the largest number.

Answer:

0.7

Step-by-step explanation:

If you divide 10 by 13 you get 0.76923 which rounded to the nearest tenth is 0.7

Hope this helped!

Answer:

0.8

Step-by-step explanation:

To find the decimal form of [tex]\frac{10}{13}[/tex] you'll need to divide 10 by 13.

10 ÷ 13 = 0.76923076923

The tenths decimal place is one to the right of the decimal: 0.1

Because the number after the tenths place is greater than or equal to 5, we will round the 0.7 up to a 0.8

Answer:

x =12

Step-by-step explanation:

We use the Pythagorean theorem

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

x^2 + 5^2 = 13^2

x^2 +25 =169

Subtract 25 from each side

x^2 +25-25=169-25

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = 12

Answer:

2/9

Step-by-step explanation:

its in the range to be 2/9

Answer:

12 boxes

Step-by-step explanation:

800/65=12.307, since this is not a whole number, and the limit cannot exceed 800 pounds in a stack, you must round down to 12

Answer:

for twelve: 4 x 3, 9 + 3, 24 / 2.

for two: 1 x 2, 1 + 1.

Step-by-step explanation:

4 x 3 = 12, 9 + 3 = 12, 24 / 2 = 12

1 x 2 = 2, 1 + 1 = 2.

Answer:

y=2/3x+2

Step-by-step explanation:

Answer:

a. 0.921

b. 0.391

c. 2.356

Answer:

(x - 5)(x + 1)

Step-by-step explanation:

[tex] {x}^{2} - 4x - 5 \\ = {x}^{2} - 5x + x - 5 \\ = x(x - 5) + 1(x - 5) \\ = (x - 5)(x + 1) \\ [/tex]

Answer:

I think that the answer is D

Answer:

1)Any negative number above -5

2)it wouldn’t make sense since it’s a negative number unless you replace the dividend

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  0  or  1  for each of its variables. In this case, the degree of variable  y  is  1 .

Answer:

the first one( even though it has an error : P is (-2,1) ) and because the Q is correct there too.

Per the plot, looks like g(-8) = 1 and g(2) = -4. Then the average rate of change of g over [-8, 2] is

(g(2) - g(-8)) / (2 - (-8)) = (-3  - 1)/10 = -2/5

Answer:

The measure of the hypotenuse is 25.

Step-by-step explanation:

To solve, we can use the Pythagorean theorem a² + b² = c² where,

a = 7

b = 24

(7)² + (24)² = 625

We have to take the square root of 625 to get our answer.

[tex]\sqrt{625} = 25[/tex]

Answer:

25

Step-by-step explanation:

This is a right triangle. This is because of the little square in the corner that indicates a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

We know that 7 and 24 are the legs, because they make up the right angle. We know c is the hypotenuse because it is opposite the right angle.

7^2+24^2=c^2

Evaluate the exponents on the left side.

49+576=c^2

Add 49 and 576

625=c^2

Since c is being squared, take the square root of both sides. This will cancel out the exponent, and leave c by itself.

√625= √c^2

√625=c

25=c

The measure of the hypotenuse is 25

Answer:

60.96 cm

Step-by-step explanation:

you do proportions

1 in = 2.54

24in= ?

you multiply 2.54 by 24

Answer:Hence, Aaron needs 60.96 centimeters of wire.

Step-by-step explanation: Multiply both sides by 2.54.

Multiply both sides by x.

x = 60.96

Answer:

Step-by-step explanation:

Each point of intersection with the system of equations was matched.

Any equation in the form [tex]ax+by+c=0[/tex] is called a linear equation where a,b,c∈R.

In the given diagram, to find the intersection of two lines, solve the equations of two lines.

1)[tex]\left \{ {{y=-2x-3} \atop {y=2x-1}} \right.[/tex]

The solution of the given system of equations comes to be x=-1/2 and y=-2.

So they will intersect at (-1/2, -2) i.e. same as the graph.

2)[tex]\left \{ {{y=x+4} \atop {y=-x+2}} \right.[/tex]

The solution of the given system of equations comes to be x=-1 and y=3.

So they will intersect at (-1,3)

Similarly, the other two systems of equations will intersect at (-7/3,5/3) and (-1,1) respectively.

Hence, each point of intersection with the system of equations was matched.

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Answer:

284

Step-by-step explanation:

The expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3

1) x^1/2

find the square root

[tex]= √x^1/2

[/tex]

[tex]= x^1[/tex]

= x

2) x^2/3

[tex]= 3√x^2/3[/tex]

= x²

3) x^-3/5

[tex]= 5√x^-3/5[/tex]

[tex]= x^-3[/tex]

[tex]= 1/x^3[/tex]

4) x^-1/2

[tex]= √x^-1/2[/tex]

,

[tex]= x ^-1[/tex]

[tex]= 1/x[/tex]

5) x^1/3

[tex]= 3√x^1/3[/tex]

[tex]= x^1[/tex]

= x

Therefore, the expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3

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