Can someone please tell me the answer of 2.394 • 7.489

Mathematics

1 answer:

Sveta_85 [38]2 years ago

6 0

Answer: 17.928666

Step-by-step explanation:

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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

likoan [24]

Hello from MrBillDoesMath!

Answer:

a(n) = -3n , n>= 1

Discussion:

a(1) = -3

a(2) = -6

a(3) = -9

a(4) = -12

The pattern looks like a(n) = -3n

Thank you,

MrB

6 0

3 years ago

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.

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