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2 years ago

Which of the following expressions represents the verbal description below?

Mathematics

2 answers:

Georgia [21]2 years ago

5 0

Cube of the sum of 4 and 9 times x means (4+9x)^3
Product of 5times x and the difference of x and 1 means 5x(x-1)

Lets divide

Expression is

$\\ \sf\longmapsto \dfrac{(4+9x)^3}{5x(x-1)}$

olga nikolaevna [1]2 years ago

4 0

Answer:

The answer of this question is A.

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qwelly [4]

I wish I knew sorry I wish I could help I'll find someone for you

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3 years ago

PLEASE HELP!!!!!! WILL MARK BRAINLIEST!! What is the probability that two "face" cards are drawn from a standard deck of 52 card

vivado [14]

Answer:

approximately 4.978%

Step-by-step explanation:

The probability of both happening is 3/13*11/51, or 33/663, or 11/221 (approximately 4.978%). Two cards are drawn one after the other with replacement from a pack of 52 cards.

7 0

3 years ago

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Allie has 5 baskets that each hold 5 candies and 3 toys. Alexis has the same total items, but she makes 4 baskets. In each baske

dlinn [17]

The answer is 6 because 5 candies go's up by three so you would add 3 to 3 3+3

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3 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 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

3 years ago

Two rays that intersect at a right angle are best described as which of the following

sveticcg [70]

A coplanar point are points that lie on the same line. An angle is the intersection of two noncollinear rays at a common endpoint. The rays are called sides and the common endpoint is called the vertex.

hope that helps

7 0

3 years ago

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