All categories

3 years ago

W= A over 4 what does A equal?

Mathematics

1 answer:

timurjin [86]3 years ago

4 0

Answer:

Hi there!

If W= A/4, then A= 4W

Step-by-step explanation:

because if you times 4 on both sides of the equation : w*4 = (A/4) *4

you get A= 4W

You might be interested in

Which of the equations shown have infinitely many solutions? Select all that apply.

inna [77]

abcdefghijklmnopqrstuvwxyz

6 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 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

Convert 8/15 into a decimal : show your work

zloy xaker [14]

O.533333333,basically 8 divide by 15

6 0

3 years ago

Read 2 more answers

What is the slope of the line represented by the equation y=x/3-5

Nana76 [90]

Answer:

a. 1/3

Step-by-step explanation:

y=x/3-5 (rewrite x - term)

y = (1/3) x + 5

recall that in the slope-intercept form of a linear equation y = mx + b

m is the slope.

In our case, we can clearly see that slope m = (1/3)

8 0

3 years ago

Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.

valentinak56 [21]

Answer:

1,225 miles = 77616000 inches

Step-by-step explanation:

It is asked to find the number of inches in 1,225 miles

Given

1 inch ≈ 1.578 × 10^-5 miles

Therefore, 1 mile = 63360 inches

Therefore, 1,225 miles = 1225 x 63360 inches

1,225 miles = 77616000 inches

or 1,225 miles = 7.7 x $10^{7}$ inches

Therefore the final answer is

1,225 miles = 77616000 inches

or 1,225 miles = 7.7 x $10^{7}$ inches

3 0

3 years ago