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2 years ago

Be Solve for 8x +32 = 1/5(25x – 15) - 4x Enter your answer in the box x=

Mathematics

2 answers:

natta225 [31]2 years ago

8 0

Answer:

x = -5

Step-by-step explanation:

8x +32 = 5x - 3 - 4x

8x + 32 = x - 3

7x = - 35

x = - 5

Temka [501]2 years ago

7 0

Answer: x=−5

Step-by-step explanation:

8x+32=5x−3−4x

8x+32=x−3

8x+32−x=−3

7x+32=−3

7x=−3−32

7x=−35

x=- 35/7

x=−5

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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

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