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Naily [24]
2 years ago
6

Directions

Mathematics
1 answer:
valina [46]2 years ago
3 0

Answer:

Huh I'm srry I'm so srry but in confused

Step-by-step explanation:

like really bad XD pls dont be mad I'm just saying :D

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Which is equivalent to
Vanyuwa [196]

the answer is A couse divide all 5

8 0
2 years ago
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 <em>P</em> is the number of eggs laid, <em>x</em> is the number of workers, and <em>y</em> is the daily operating budget (assuming in US dollars $).

A)

We want to find dy/dx.

So, let’s find our equation in terms of <em>x</em>. 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<em> </em>the <em>x</em> term to acquire:

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

Take the derivative of both sides with respect to <em>x: </em>

\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 <em>x</em> is 30 and when <em>y</em> is $10,000.

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

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

Hence, at <em>x</em> = 30 and at <em>y</em> = 10,000, <em>P </em>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
Can someone help me on this
Cerrena [4.2K]

Answer:

2x+h

Step-by-step explanation:

f(x+h) means that wherever there's an x in the function f(x) we plug in a x+h

we have

(x+h)²+9

Let's start with the numerator

(x+h)²+9-(x²+9)

Distribute the exponent

x²+2xh+h²+9-x²-9

Which gives us

2xh+h²

Divide the whole thing by h to give us

2x+h

4 0
3 years ago
The slope of a line is -3 and it crosses the y-axis at (0,2) Which is the correct equation of the line in slope-intercept form.
zubka84 [21]

Answer:

Step-by-step explanation:

(y-y1)=m(x-x1)

(y-2)=-3(x-0)

y=-3x-0+2

y=-3x+2

8 0
3 years ago
How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
lianna [129]
There are two measures 5 cm then the triangle will be isosceles or 16 is far beyond 5 + 5 = 10 so we cannot build any triangle so te answer is <span>B none
</span>
3 0
3 years ago
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