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2 years ago

The dimensions of a cylindrical water tank are shown below.

Mathematics

1 answer:

riadik2000 [5.3K]2 years ago

6 0

Umm honestly it would be 58,320 yd

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Can someone help me with this ?!! Plz

Natasha2012 [34]

Answer:

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Step-by-step explanation:

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2 years ago

What is the value of the expression (–5) -3?

fgiga [73]

The answer to (-5)-3 is -8. I may be wrong but I did the work.

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2 years ago

Read 2 more answers

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

Melanie and Mark borrowed $2500 at a simple interest rate of 7% for a period of 3 years. What was the interest?

natima [27]

Answer:

525 $

Step-by-step explanation:

Amount borrowed = $2500

Rate = 7%

Time = 3 years

therefor interest = $2500 X 7/100 X 3

Hope it help You

3 0

2 years ago

Please help, and fast. A tire on a miniature car has a diameter of 1.468 inches. The circumference of a tire for a full size car

lara [203]

1.468*3.14 is around 4.6 so B)

And 65.97/4.6 is about 14.3 so C)

4 0

3 years ago