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1 year ago

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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What is 16tons what pounds

Marianna [84]

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.

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2 years ago

Kenny reads 4/9 page in 3/5 min. what is Kenny's unit rate? 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 $\frac{27}{20}\text{ page/minute}$

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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:

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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 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