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3 years ago

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Please help ASAP! BRAINLIEST to best/right answer (: SCATTER PLOT

1 answer:

Serhud [2]3 years ago

3 0

The answer is D. Negative Correlation.

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Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and t

WINSTONCH [101]

Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.

How long will it take for this population to grow to a hundred rodents? To a thousand rodents?

Step-by-step explanation:

Use the initial condition when dp/dt = 1, p = 10 to get k;

$\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}$

Seperate the differential equation and solve for the constant C.

$\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2} }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}$

You have 100 rodents when:

$100=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{100} \\\\2t=98\\\\t=49\ months$

You have 1000 rodents when:

$1000=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{1000} \\\\2t=99.8\\\\t=49.9\ months$

7 0

3 years ago

Help please and you will get brainliest

Fiesta28 [93]

The correct answer to your question is 20x+25

7 0

3 years ago

Read 2 more answers

If Colorado Springs, Colorado, has 1.6 times more days of sunshine than Boston, Massachusetts, how many days of sunshine does ea

Kay [80]

C = 1.6b
c + b = 442

1.6b + b = 442
2.6b = 442
b = 442 / 2.6
b = 170 <== Boston

c = 1.6b
c = 1.6(170)
c = 272 <== Colorado Springs

8 0

3 years ago

If the function h is defined by h(x)=<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" a

harkovskaia [24]

Given:

The function is:

$h(x)=x^2-3x+5$

To find:

The value of $h(2x+1)$ .

Solution:

We have,

$h(x)=x^2-3x+5$

Putting $x=2x+1$ , we get

$h(2x+1)=(2x+1)^2-3(2x+1)+5$

$h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5$

$h(2x+1)=4x^2+4x+1-6x-3+5$

On combining like terms, we get

$h(2x+1)=4x^2+(4x-6x)+(1-3+5)$

$h(2x+1)=4x^2-2x+3$

Therefore, the required function is $h(2x+1)=4x^2-2x+3$ .

3 0

3 years ago

A can of corn is shaped like a cylinder. The radius of the can is 5 inches and the height of the can is 8 inches. Which measurem

emmainna [20.7K]

Answer:

B) 628.32 cm cubed

Step-by-step explanation:

we know the formula to find the volume of a cylinder is π*r^2*h

where r is the radius and h is the height.

the equation would look like this

π*5^2*8

π*25*8

π*200

628.32 cm

6 0

3 years ago

Read 2 more answers