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Vilka [71]
1 year ago
5

20 POINTS

Mathematics
1 answer:
Georgia [21]1 year ago
5 0
Answer is in the photo, hope it helps. If you have any questions about the answer, please feel free to ask :)

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16 tons is equal to 32,000 pounds
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3 years ago
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What are the domain and range of the function f(x)=- *square root* x+3 - 2?
mars1129 [50]

Answer:

Domain: x>= -3

Range: y <= -2

Step-by-step explanation:

Domain is all the x's on the graph or allowed in the equation.

Range is all the y's on the graph or able to come from the equation.

5 0
2 years ago
Kenny reads 4/9 page in 3/5 min. what is Kenny's unit rate? <br><br> Step by step.
il63 [147K]

Answer:

The unit rate is \frac{27}{20}\text{ page/minute}

Step-by-step explanation:

Given : Kenny reads \frac{4}{9} page in \frac{3}{5} min.

To find : What is Kenny's unit rate?

Solution :

Kenny reads \frac{4}{9} page in \frac{3}{5} minute

This can be written as,

\frac{4}{9}\text{ page}=\frac{3}{5}\text{ minute}

Divide both side by \frac{9}{4}

\frac{4}{9}\times \frac{9}{4}\text{ page}=\frac{3}{5}\times \frac{9}{4}\text{ minute}

1\text{ page}=\frac{27}{20}\text{ minute}

The unit rate is \frac{27}{20}\text{ page/minute}

4 0
3 years ago
Without using a calculator what is does 0.405 x 1.08 equal?
Verizon [17]

Answer:

0.4374

Step-by-step explanation:

6 0
2 years ago
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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 <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
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