What is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34

The population of a certain species of bird in a region after t years can be modeled by the function P(t)= 1620/1+1.15e^-0.042t

natka813 [3]

Answer:

A

Step-by-step explanation:

The function is $\frac{1620}{1+1.15e^{-0.042t}}$

To find the maximum population, we need to set t towards infinity to get our answer.

So, we replace time with maximum ( $\infty$ ). Let's check:

$\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620$

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.

Correct answer is A

5 0

4 years ago

Read 2 more answers

PLEASE ANSWER ASAP! SHOW ALL WORK! WILL GIVE BRAINLIEST!

Iteru [2.4K]

1) $x^2=x\cdot x$ , and $x(x+3)=x^2+3x$ . Subtracting this from the numerator gives a remainder of

$(x^2-13x-48)-(x^2+3x)=-16x-48$

$-16x=-16\cdot x$ , and $-16(x+3)=-16x-48$ . Subtracting this from the previous remainder gives a new remainder of

$(-16x-48)-(-16x-48)=0$

This means that

$\dfrac{x^2-13x-48}{x+3}=x-16$

2) $3x^3=3x^2\cdot x$ , and $3x^2(x+2)=3x^3+6x^2$ . Subtracting this from the numerator gives a remainder of

$(3x^3-x^2-7x+6)-(3x^3+6x^2)=-7x^2-7x+6$

$-7x^2=-7x\cdot x$ , and $-7x(x+2)=-7x^2-14x$ . Subtracting this from the previous remainder gives a new remainder of

$(-7x^2-7x+6)-(-7x^2-14x)=7x+6$

$7x=7\cdot x$ , and $7(x+2)=7x+14$ . Subtracting this from the previous remainder gives a new remainder of

$(7x+6)-(7x+14)=-8$

This means that

$\dfrac{3x^3-x^2-7x+6}{x+2}=3x^2-7x+7-\dfrac8{x+2}$

3) $x+2$ will be a factor of $x^3+3x^2-10x-24$ if dividing the latter by $x+2$ leaves a remainder of 0.

$x^3=x^2\cdot x$ , and $x^2(x+2)=x^3+2x^2$ . Subtracting this from the numerator gives a remainder of

$(x^3+3x^2-10x-24)-(x^3+2x^2)=x^2-10x-24$

$x^2=x\cdot x$ , and $x(x+2)=x^2+2x$ . Subtracting this from the previous remainder gives a new remainder of

$(x^2-10x-24)-(x^2+2x)=-12x-24$

$-12x=-12\cdot x$ , and $-12(x+2)=-12x-24$ . Subtracting this from the previous remainder gives a new remainder of

$(-12x-24)-(-12x-24)=0$

and since the remainder is 0, $x+2$ is indeed a factor of $x^3+3x^2-10x-24$ .

5 0

3 years ago

6- the radical of 25 over 4

vladimir2022 [97]

6 - 5/2
which in turn results into 7 halfs
(7/2)

4 0

3 years ago

PLEASE HELP MATH QUESTION PIC BELOW

Vinil7 [7]

Answer:

∠MNP is your answer

Step-by-step explanation:

Note the angle and the order it is said. It is ∠ABC, which means the double line side, one curve line angle, and then triple line side.

Now look at the second triangle, the same double line side (NM), one curve line angle (∠N), and triple line side (NP)

Put them together: ∠MNP is your answer

~

3 0

3 years ago

A pair of opposite rays would be?

natita [175]

Answer:

Option C) PA and PB

Step-by-step explanation:

PA and ray PB are opposite because they are moving towards opposite direction and making an angle of 180 degrees.

On the other hand rays AP and BP are pointing toward each other.

AP and PZ are perpendicular to each other because they are making an angle of 90 degrees.

Whereas PW and PZ are making an angle of 45 degrees.

5 0

4 years ago

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