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3 years ago

6

The roof of a house is the shape of an isosceles right triangles as shown in the diagram below. What is the height of the roof ,

h?

2 answers:

matrenka [14]3 years ago

6 0

What diagram? Where's the diagram?

Ede4ka [16]3 years ago

4 0

Answer:

answer choice B is the correct answer. i just too that assesment

Step-by-step explanation:

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Consider the quadratic function f(x)=2x2−8x+1.

Allisa [31]

Answer:

is in the picture above

Step-by-step explanation:

Hope it helps

4 0

3 years ago

Hello me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

lora16 [44]

Um.. listen to the teacher more

8 0

3 years ago

Read 2 more answers

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

3 years ago

3 . Which list of numbers is ordered from least to

mihalych1998 [28]

Answer:

it’s C. 0.02,0.2.1/2, 2 1/2

6 0

3 years ago

Three bottles of different sizes contain different compositions of red and blue candy. The largest bottle contains eight red and

choli [55]

Answer:

0.3667

0.2727

Step-by-step explanation:

a)

P (Blue) = P (large and Blue) + P (mid and Blue) + P (small and Blue)

P (Blue) = (0.5 * 0.2) + (0.4*7 / 12) + (0.1* 1 / 3)

P (Blue) = 0.3667

b)

Conditional Probability:

P (Large / Blue ) = P (large and Blue) / P ( Blue)

P (Large / Blue ) = 0.5*0.2 / 0.36667

P (Large / Blue ) = 0.2727

3 0

3 years ago