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3 years ago

Is 1+3√15 rational number and why

Mathematics

2 answers:

Vitek1552 [10]3 years ago

5 0

Irrational because square root of 15 is irrational

denis23 [38]3 years ago

5 0

I think 12.6189
because 3<span>√15=11.6189
11.6189+1=12.6189</span>

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A planter weighs 2 pounds and holds 3 pounds of soil. write two equivalent expressions for the total weight of nine planters. th

Anastasy [175]

Planters = (2*9)+(3*9) = 45 the answer is 45

5 0

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

Help me with this...-36h = 162

Anna35 [415]

H=-9/2
Divide both sides of the equation by -36
Any expression divided by itself equals 1

8 0

3 years ago

A factory produced a batch of handheld video games, but 4% of the games were found to be defective. If the batch had 250 games i

Y_Kistochka [10]

96% of 250 is 240
so 240 is your answer

3 0

3 years ago

Read 2 more answers

Between which two consecutive integers does 53 lie?

oksian1 [2.3K]

52 and 54. Integers are whole numbers meaning 1..4..7..17...25 and so on. Consecutive meaning one right after the other. So 52 and 54 are the answer.

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3 years ago