I need the value of X

Two chicken coops are to be built adjacent to one another from 168 ft of fencing. What dimensions should be used to maximize the

Cerrena [4.2K]

Answer:

21 ft by 28 ft

Step-by-step explanation:

To maximize the area, see the attached.

Perimeter will be 4l+3w which is equal to the fencing perimeter, given as 168

4l+3w=168

Making l the subject then

4l=168-3w

l=42-¾w

Area of individual land will be lw and substituting l with l=42-¾w

Then

A=lw=(42-¾w)w=42w-¾w²

A=42w-¾w²

Getting the first derivative of the above with respect to w rhen

42-w6/4=0

w6/4=42

w=42*4/6=28

Since

l=42-¾w=42-¾(28)=21

Therefore, maximum dimensions are 21 for l and 28 for w

4 0

3 years ago

The South Coast Air Basin (Los Angeles, Orange, and San Bernardino counties) does not meet the air quality standards for carbon

Archy [21]

Answer:

0.2225 gr/mile

Step-by-step explanation:

Let's work out first the amount of CO sent out in 1990.

The population we estimated in 12.5 million people with a total of driven miles per year of about

12.5 million*8,700 = 108,750 million miles.

With an CO emission factor of 0.9 g per mile, we would have a total of CO emitted rounding 0.9*180,750 = 97,875 million grams

Now, we must estimate the population for 2020.

Since we are assuming an exponential growth, the population in year t is given by a function

$\bf P(t)= Ce^{kt}$

where C and k are constants to be determined.

We can take 1980 as year 0. This way calculations are lighter. 1990 is year 10 and 2020 is year 20.

So P(0) = 10.3 and C=10.3

So far we have

$\bf P(t)= 10.3e^{kt}$

Given that P(10)=12.5

$\bf 10.3e^{k*10}=12.5\rightarrow e^{10k}=\frac{12.5}{10.3}=1.21359\rightarrow \\10k=log(1.21359)\rightarrow k=0.01936$

And the function that models the population growth is

$\bf P(t)= 10.3e^{0.01936t}$

We need P(20)

$\bf P(20)= 10.3e^{0.01936*20}=10.3e^{0.38717}=15.17\;million$

If the miles driven per person per year remains constant at 8700 mi/yr.person, then we have a total miles driven of

15.17*8,700=131,979 million miles, so the CO emitted would be 0.9*131,979=118,781.1 million grams.

The 30% of the CO sent out in 1990 is 0.3*97,875=29,362.5 million grams.

We must reduce 118,781.1 down to 29,362.5

Hence the new CO emission factor would be

29,362.5/131,979 = 0.2225 gr/mile

6 0

3 years ago

Do you guys support animal testing? (putting drug into animals to see how it affects them)

swat32

I am against people doing this.

I think it's wrong because for some reason scientists are permitted to do this but that is breaking the law. I hate how they do it because these are just innocent animals that did nothing wrong to us, our scientists just decide it's ok to go stick needles in them and put stuff on them. My biggest problem with this is that they don't care about the effects their products have on innocent animals and instead of fixing their mistake and just apply it to humans, they just keep on going like there's no tomorrow. Animals have done nothing wrong to these people and I think that it's wrong to do so. Also, I don't really think that this proves anything. An animal's skin and fur are different than a human's skin and hair so it would make no sense to test these things on them because it really is guaranteed to give an accurate answer. Animals differ from us in so many ways that you should be able to think that scientists wouldn't harm these lovely creatures, but instead, they do. Why do scientists hurt these animals? I don't want to live in a world with hurt animals, especially when some of them have World Records, like the Sea Otter.

-R3TR0 Z3R0

3 0

3 years ago

What is the value of e use in solving logarithm?

irina [24]

Answer:

2.718 28...

Step-by-step explanation:

the value of e use in solving logarithm is 2.718

7 0

3 years ago

Read 2 more answers

Confused on this part

Andre45 [30]

Answer:

The first 2 and the last one

Step-by-step explanation:

You need to have an input per output, and to choose one or multiple the need to have a continuous pattern. Ex.+5 ad -2 on both sides every time would be a linear function.

6 0

2 years ago