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3 years ago

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What are multiple of 4 starting from 40

1 answer:

White raven [17]3 years ago

6 0

40 44 48 52 56 60 64 68 72 76 80 84 88 92 96 100....

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Name 3 decimals with a product that is about 40

elena-14-01-66 [18.8K]

4.3 times 4.5 times 4.3

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3 years ago

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What is the 8th term in the arithmetic sequence defined by the explicit formula An = 2n + 7

ICE Princess25 [194]

9514 1404 393

Answer:

23

Step-by-step explanation:

Put 8 in the formula and do the arithmetic.

A8 = 2·8 +7 = 16 +7

A8 = 23

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3 years ago

Which answer shows three ways to write 2/3 as a ratio?

Arada [10]

2/3 can also be written as 2:3 or 4:6 or 4/6…8:12…8/12…

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3 years ago

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In the Preamble to the U.S. Constitution, what is the meaning of the phrase “We the People”?

bogdanovich [222]

In other words, those words define<span> that the interaction. between the </span>Constitution<span>and the citizens of the United States is direct and. immediate, </span>meaning<span> that the</span>Constitution, and the government it. ... The words “We the People<span>” in the. </span>Preamble<span>are often considered the strongest links between the </span>Constitution<span> </span>

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3 years ago

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Suppose a certain population satisfies the logistic equation given by dP

Ksenya-84 [330]

Answer:

The population when t = 3 is 10.

Step-by-step explanation:

Suppose a certain population satisfies the logistic equation given by

$\frac{dP}{dt}=10P-P^2$

with P(0)=1. We need to find the population when t=3.

Using variable separable method we get

$\frac{dP}{10P-P^2}=dt$

Integrate both sides.

$\int \frac{dP}{10P-P^2}=\int dt$ .... (1)

Using partial fraction

$\frac{1}{P(10-P)}=\frac{A}{P}+\frac{B}{(10-P)}$

$A=\frac{1}{10},B=\frac{1}{10}$

Using these values the equation (1) can be written as

$\int (\frac{1}{10P}+\frac{1}{10(10-P)})dP=\int dt$

$\int \frac{dP}{10P}+\int \frac{dP}{10(10-P)}=\int dt$

On simplification we get

$\frac{1}{10}\ln P-\frac{1}{10}\ln (10-P)=t+C$

$\frac{1}{10}(\ln \frac{P}{10-P})=t+C$

We have P(0)=1

Substitute t=0 and P=1 in above equation.

$\frac{1}{10}(\ln \frac{1}{10-1})=0+C$

$\frac{1}{10}(\ln \frac{1}{9})=C$

The required equation is

$\frac{1}{10}(\ln \frac{P}{10-P})=t+\frac{1}{10}(\ln \frac{1}{9})$

Multiply both sides by 10.

$\ln \frac{P}{10-P}=10t+\ln \frac{1}{9}$

$e^{\ln \frac{P}{10-P}}=e^{10t+\ln \frac{1}{9}}$

$\frac{P}{10-P}=\frac{1}{9}e^{10t}$

Reciprocal it

$\dfrac{10-P}{P}=9e^{-10t}$

$P(t)=\dfrac{10}{1+9e^{-10t}}$

The population when t = 3 is

$P(3)=\dfrac{10}{1+9e^{-10\cdot 3}}$

Using calculator,

$P=9.999\approx 10$

Therefore, the population when t = 3 is 10.

8 0

2 years ago