A population of 50 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 500 deer. Absent constraints, the population would grow by 40% per year.

Estimate the population after one year

p1 =


Estimate the population after two years

p2=

Answer:

C: 12x squared

Step-by-step explanation:

the equation would look like [tex]2x^{2}[/tex] · [tex]6[/tex] or [tex]6(2x^{2})[/tex]

you only multiply the coefficients, leave the exponent alone for this one

so 2 times 6 would be 12 and the [tex]x^{2}[/tex] remains the same giving you [tex]12x^{2}[/tex]

9514 1404 393

Answer:

  π/3

Step-by-step explanation:

The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.

It is convenient to make the substitution ...

  x = sin(y) . . . . so, y = arcsin(x)

 dx = cos(y)·dy

Then the integral is ...

  [tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]

Answer:

(a). y = - 4x + 19 ; (b). y = [tex]\frac{1}{4}[/tex] x + 2  

Step-by-step explanation:

Slope "m" of given line is

m = - 4

Slope of parallel line is ( - 4) and perpendicular line is [tex]\frac{1}{4}[/tex]

P(4, 3)

y - [tex]y_{P}[/tex] = m( x - [tex]x_{P}[/tex] )

(a). y - 3 = - 4 (x - 4)

y = - 4x + 19

(b). y - 3 = [tex]\frac{1}{4}[/tex] ( x - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2

Answer:

The range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Step-by-step explanation:

Let [tex]f\circ g \,(x) = 2^{x+1}[/tex], [tex]\forall\, x \in \mathbb{R}[/tex]. The graphic represents a power function, whose lower bound is the horizontal asymptote [tex]y=0[/tex]. From the graphic we find the range of the composite function corresponds to the values of the function associated with the vertical axis (y-axis).

Hence, the range of [tex]f\circ g \,(x) = 2^{x+1}[/tex] is [tex]Ran\{f\circ g\,(x)\} = (0, +\infty)[/tex].

Answer:  

✔ y > 0.

Step-by-step explanation:

edg 2021

Answer:

Step-by-step explanation:

first 95 x 60 (60 because there is 60 minutes in an hour) then multiply that number by 10 then start ploting the numbers up for example it goes 57,000 then multiply that by 2 and keep ploting.

Answer:

411/3 + 388 = 525 -79=446

Step-by-step explanation:

Answer:

Step-by-step explanation: it will take 16 minute

Answer:

Step-by-step explanation:

Answer:

Heidi made $15.90 total

Answer:

Two

Step-by-step explanation:

Because 1/2 plus 1/2 equals 1 witch would be the final half to make one whole

Answer:

700

Step-by-step explanation:

Answer:

the solution is 5.7

Answer:

you're right!! its C

Step-by-step explanation:

For lines to be perpendicular, the multiplied slopes of the line need to be -1, so

y=1/3x-1

y=-3x-4

(1/3)*(-3)=-1

therefore, they are perpendicular

Answer:

780

Step-by-step explanation:

We want to use partial quotients in the division problem 858 ÷ 26.

In partial quotients method, what we do is to repeatedly subtract from the dividend easy multiples of the divisor.

In this case, the dividend is 858 and the divisor is 26.

Thus, the first easy multiple of the divisor we can use will be 30 because 30 × 26 = 780 yields the closest value to 858.

Therefore, the best choice for first number to subtract is 780

Answer: 780

Step-by-step explanation:

The best choice for the division problem will be 780.

Answer:

Are directly proportional

Answer:

252 sq. in.

Step-by-step explanation:

divide it into sections like this

12*15=180

3*6=18

6*9=54

then add it all together. sometimes it is more complicated, but as long as none of the divided parts overlap this will be correct for any shape, as long as you account for the whole shape.

[tex]2(4x + 3) + 4(3x - 1)[/tex]

[tex] = (8x + 6) + (12x - 4)[/tex]

[tex] = 8x + 6 + 12x - 4[/tex]

[tex] = (8x + 12x) + (6 - 4)[/tex]

[tex] = 20x + 2[/tex]

Answer:

8x+6+12x-4= 0

20x+2= 0

20x=-2

20x/20= -2/20

x= -1/10

Answer:

3.6 = a

Step-by-step explanation:

5.4 = a - ( -1.8)

5.4 = a + 1.8

5.4 - 1.8 = a

3.6 = a

Answer:

2 gallons must be added Hope this helps!

Answer:

Step-by-step explanation:

the area of the circle A= 3.14*r^2

diameter is 6, radius is 6/2=3

it is choice 2

A=3.14*3^2

Answer:

(3, 7)

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as:

M(X, Y) = [x1+x2/2, y1+y2/2]

Given the coordinates  J(15,-13) and K(-9,27), the coordinates of the midpoints is expressed as:

X = 15-9/2

X = 6/2

X = 3

Similarly,

Y = y1+y2/2

Y = -13 +27/2

Y = 14/2

Y = 7

Hence the coordinate of the midpoint is at (3, 7)

Answer:

20

Step-by-step explanation:

Given that the HCF of two numbers is 20 and the LCM of both numbers is a multiple of 14.

So, the LCM of both numbers = 14n where n can be any natural number.

As HCF of two numbers is always smaller than or equal to the smallest number among both the numbers.

Here, the HCF of two numbers is 20, so the smallest number is greater than of equal to 20.

Hence, the smallest possible number is 20.

Answer:

no its false its equal

Step-by-step explanation:

-4 isnt greater or > than -4 it's the exact same

Answer:

1)

8x + x = 180

9x = 180

x = 30

2)

x + 2 = 2x - 40

2 = x - 40

x = 42

3)

2x + x = 90

3x = 90

x = 30

4)

3x + 1 = 4x - 25

1 = x - 25

x = 26

Answer:

We have two 6-sided dice.

Each one of them has 6 possible outcomes.

The total number of outcomes for the pair, will be equal to the product between the numbers of outcomes for each one of them

Then the total number of outcomes is:

C = 6*6 = 36.

The number of outcomes where the sum of the dice are 7 are:

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

So we have 6 outcomes where the sum of both numbers is equal to 7.

The probability of rolling a pair such that the sum is equal to 7, is equal to the quotient between the number of outcomes that meet this condition (6) and the total number of outcomes (36)

The probability is:

P = 6/36 = 1/6

Now let's do the same for 11.

The outcomes where the sum is 11 are:

5 and 6

6 and 5

So we have two outcomes.

In this case, the probability will be:

P = 2/36 = 1/18

Answer:

3

Step-by-step explanation:

1/3 yard lengths times 3 equals 3 (or 1 yard).

There are 3 numbers of  1/3 yard lengths are in 1 yard.

A summation, which is the result of adding two or more numbers or quantities, is also known as a sum.

A mathematical operation known as subtraction involves two values that will be subtracted to produce a new value.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Division is divide of any two numbers so it will give a new divided value for example 4/2 will gives us 2.

1 yard = 1/3 yard +  1/3 yard +  1/3 yard

The lowest common multiple of the right hand will be 3

So,

1 yard = (1 + 1 + 1)/3 yard

1 yard = 3/3 yards

1 yard = 1 yard

Hence in 1 yard, there is a total of 3 numbers of 1/3 yards.

To learn more about the arithmetic operator

brainly.com/question/25834626

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The statement that the two triangles are similar based on the given figure is false.

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

So, we know that two similar triangles will have all the corresponding angles equal to each other.

Given two triangles EFG and HJK.

Also, given that,

EG = 8 and HK = 16

EG/ HK = 8/16 = 1/2

∠E = ∠H = 90°

There are no other information given.

If one more corresponding angles are equal, we can use ASA, AAS or AA property, and if one more corresponding side are proportional, we can use SAS postulate.

In this case, we cannot say two triangles are similar.

Hence the statement is false.

Learn more about Similar Triangles here :

https://brainly.com/question/14926756

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Answer:

Step-by-step explanation:

and threw up after yes

Answer:

b. 24

Step-by-step explanation:

Hope this is right!