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3 years ago

How do tell whether a ordered pair is a solution of the inequality whose graphic is shown

1 answer:

4 0

When ur looking at the graph of ur inequality, u will see a shaded region.....all the points in the shaded region are ur possible solutions. So when u plot ur ordered pair, if it falls in the shaded region, it is a solution...if it does not fall in the shaded area, it is not a solution.

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John flips a fair coin 40 times. How many times can he expect heads to appear?

nevsk [136]

The answer is 20, since it’s heads and tails you have a half and half chance, therefore you divide 40 in half and get 20

8 0

3 years ago

There are approximately 3.2 x 10^7 mosquitoes near each backyard pool. How many total mosquitoes are thre in a city with 6.7 x 1

dexar [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

There are approximately $3.2 \times 10^7$ mosquitoes near each backyard pool.

The city has total number of pools $6.7 \times 10^{12}$ .

So the total mosquitoes will be : $3.2 \times10^7 \times6.7\times 10^{12}$

So the total mosquitoes will be : $21.44 \times 10^{19}$

So the total mosquitoes will be : $2.144 \times 10^{20}$ : Answer

Hope it will help :)

3 0

2 years ago

The distance from P to Q is four times the distance from Q to R. The distance from p to r is 120 metres. What is the distance fr

Leviafan [203]

|----------------------------------120 m ------------------------------|

|--------------|--------------|--------------|--------------|--------------|
P Q R

Distance from P to R = 120m

120 ÷ 5 = 24m

The distance from Q to R is 24m.

4 0

3 years ago

Read 2 more answers

I don't know i just need help with this quiz ok

ololo11 [35]

The answer is 73....

5 0

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

2 years ago