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ivolga24 [154]
3 years ago
5

Tanya is n years old today. How old will she be in 5 years?​

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

n+5 years old

Step-by-step explanation:

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Which expressions show how 8 • 54 can be rewritten using the distributive property? Choose all answers that are correct.
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Answer choice B is using the distributive property.
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3 years ago
The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t
wolverine [178]

Answer:

a) The implied differential equation is \frac{dN}{725 - N} = kdt

b) The general equation is N = 725 - C e^{-kt}

c) The particular equation is N = 725 - 325 e^{-0.49t}

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, \frac{dN}{dt} \alpha (725 - N(t))

\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt

Integrating both sides of the equation

\int {\frac{1 }{725 - N}} \, dN  = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}

When t = 0, N = 400

400 = 725 - C e^{-k*0}\\400 = 725 - C\\C = 725 - 400\\C = 325

When t = 3,  N = 650

650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49

The equation for the population becomes:

N = 725 - 325 e^{-0.49t}

At t = 5, the population becomes:

N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697

N(5) = 700 ( to the nearest 50)

6 0
3 years ago
What is the place value of the 3-digit in the number 11.321?
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Answer:

30

Step-by-step explanation:

Since it is in the tens place. thank me please give me brainliest.

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2 years ago
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Answer:

2

Step-by-step explanation:

4 0
2 years ago
? x 4 = 2/5 = what show your work
amid [387]
4x = 2/5 is the same equation
Multiply 1/4 on both sides to clear the 4.
x = (2/5)(1/4) =2/20= 1/10

CHECK
(1/10)* 4= 4/10 = 2/5
7 0
3 years ago
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