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Nina [5.8K]
2 years ago
14

What is 65.5 percent as a decimal

Mathematics
1 answer:
adell [148]2 years ago
4 0

<u>Answer:</u>

65.5/100 = 0.665

<u />

<u>Step-by-step explanation:</u>

*Hope this helps*

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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
Please help me please I don’t understand and my teacher said I got it wrong for numbers 1 2 and 3
kirza4 [7]

Answer:

1) 5/9

2) 4/7

3) 3/8

Step-by-step explanation:

1) 5/9

2) 4/7

3)3/8

3 0
3 years ago
Read 2 more answers
H(t)=(t+3)
Anarel [89]

Answer:

0

Step-by-step explanation:

h(t) = (t + 3)² + 5, -5 ≤ t ≤ -1

The average rate of change is the change in h over the change in t.

(h(-1) − h(-5)) / (-1 − (-5))

= ((-1 + 3)² + 5 − ((-5 + 3)² + 5)) / (-1 + 5)

= (4 + 5 − 4 − 5)) / 4

= 0

3 0
3 years ago
A printer is printing photos. For every 6 photos, the printer takes 3 minutes.
ki77a [65]

Answer:

Number of Photos - 6, 8, 12, 14, 18

Time (Minutes) - 3, 4, 6, 8, 9

hope this helps.

4 0
2 years ago
AB and CD are straight line segments.
frutty [35]

Answer:

<h2>i) Angle AOC is 95° </h2>

Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.

<h2>ii) Angle BOC is 85°</h2>

Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)

Angle AOC is 95°, So:-

95° + Angle BOC = 180°

Angle BOC= 180° - 95°

<h3><u>Angle BOC = 85°</u></h3>

<u></u>

<h2>iii) Angle DOE is 17°</h2>

Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)

So,

68° + Angle DOE+ 95° = 180°

163° + Angle DOE = 180°

Angle DOE= 180° - 163°

<h3><u>Angle DOE is 17°</u></h3>
5 0
2 years ago
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