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3 years ago

For each of the following action-selection methods, indicate which option describes it best.

Mathematics

1 answer:

Alexus [3.1K]3 years ago

5 0

Answer:

The answer to thia question acn be defined as follows:

In question 1 the answer is "Option b".

In question 2 the answer is "Option a"

Step-by-step explanation:

The use of such resources is also an example of using natural resources and for the construction of the community.
It's just an example of greed to take advantage of another's need for work and pay the others only extra bucks to perform tasks and you'll get rich.
Its concept with randomness is also an event that also occurs without order or rationale. It is an example of randomness, in which the closing your eyes and selecting one of the two choices.

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Given P = x^0.3 y^0.7 is the chicken lay eggs production function, where P is the number of eggs lay, x is the number of workers

lora16 [44]

Answer:

Part A)

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}$

Part B)

The daily operating cost decreases by about $143 per extra worker.

Step-by-step explanation:

We are given the equation:

$\displaystyle P=x^{\frac{3}{10}}y^{\frac{7}{10}}$

Where P is the number of eggs laid, x is the number of workers, and y is the daily operating budget (assuming in US dollars $).

We want to find dy/dx.

So, let’s find our equation in terms of x. We can raise both sides to 10/7. Hence:

$\displaystyle P^\frac{10}{7}=\Big(x^\frac{3}{10}y^\frac{7}{10}\Big)^\frac{10}{7}$

Simplify:

$\displaystyle P^\frac{10}{7}=x^\frac{3}{7}y$

Divide both sides by the x term to acquire:

$\displaystyle y=P^\frac{10}{7}x^{-\frac{3}{7}}$

Take the derivative of both sides with respect to x:

$\displaystyle \frac{dy}{dx}=\frac{d}{dx}\Big[P^\frac{10}{7}x^{-\frac{3}{7}}\Big]$

Apply power rule. Note that P is simply a constant. Hence:

$\displaystyle \frac{dy}{dx}=P^\frac{10}{7}(-\frac{3}{7})(x^{-\frac{10}{7}})$

Simplify. Hence, our derivative is:

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}$

Part B)

We want to evaluate the derivative when x is 30 and when y is $10,000.

First, we will need to find P. Our original equations tells us that:

$P=x^{0.3}y^{0.7}$

Hence, at x = 30 and at y = 10,000, P is:

$P=(30)^{0.3}(10000)^{0.7}$

Therefore, for our derivative, we will have:

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}\Big(30^{0.3}(10000^{0.7})\Big)^\frac{10}{7}\Big(30^{-\frac{10}{7}}\Big)$

Use a calculator. So:

$\displaystyle \frac{dy}{dx}=-\frac{1000}{7}=-142.857142...\approx-143$

Our derivative is given by dy/dx. So, it represents the change in the daily operating cost over the change in the number of workers.

So, when there are 30 workers with a daily operating cost of $10,000 producing a total of about 1750 eggs, the daily operating cost decreases by about $143 per extra worker.

5 0

2 years ago

A person who is 1.5 meters tall casts a shadow that is 8 meters long. The distance along the ground from the person (N) to the f

neonofarm [45]

1.) 1.5m/8m= fg/32m
2.) 1.5 (32)= 8m * fg
3.) 1.5 (32)/8m= fg
4.) 6m = fg

Im pretty sure that's right

7 0

3 years ago

There are 36 carpenters in a crew.

dolphi86 [110]

Answer:

75%

Step-by-step explanation:

27 ÷ 36 = 0.75

0.75 → 75%

75% of the crew are men

Hope this helped! :)

7 0

3 years ago

Read 2 more answers

A drawing of a surfboard in a catalog, it shows its length as 8 4/9 inches. Find the actual length of the surfboard if 1/3 inch

Bond [772]

Answer:

9.5 feets

Step-by-step explanation:

Length of drawing = 8 4/9 inches

Scale : 1/3 inch in drawing = 3/8 actual length

Length of drawing / drawing scale

8 4/9 = 76/9 inches

Number of 1/3 inches in total length of drawing :

76/9 ÷ 1/3

76/9 * 3 / 1

(76*3) /(9*1) = 228 /9 = 9 3/9 = 9 1/3

9 1/3 * 3/8 foot

(228 / 9) * (3 /8)

(228/3) * (1/ 8)

228 / 24

= 9.5 feet

4 0

3 years ago

Help x3 4 1/4 + __________ = 7 1/2

yulyashka [42]

Answer:

4 1/4 + 3 1/4 = 7 1/2

Step-by-step explanation:

To make 1/4 to 1/2 You would need 1/4, because 2/4 make 1/2

7-4= 3 so therefore you would have 3 1/4

7 0

3 years ago