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3 years ago

Find the value of x.

Mathematics

1 answer:

melamori03 [73]3 years ago

6 0

9514 1404 393

Answer:

(b) 48

Step-by-step explanation:

In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.

x = √(36·64) = √36×√64 = 6×8

x = 48

_____

All of the triangles are similar, so the ratios of corresponding sides are the same.

short side/long side = x/64 = 36/x

x^2 = (64)(36) . . . . as above

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Mae Ling earns a weekly salary of $310 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if

Illusion [34]

Answer: 662.50 dollars

==========================================================

Explanation:

If she doesn't sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.

If she does make sales, then she'll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%

In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,

0.075x+310 = 0.075*4700+310 = 662.50

She earned 662.50 dollars for that week.

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2 years ago

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Which kind of figurative language is used throughout this excerpt?

lidiya [134]

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3 years ago

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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 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.

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2 years ago

I need with absolute value.

Amanda [17]

What do u need the absolute value on?

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3 years ago

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10 points and brainliest. solve by elimination

evablogger [386]

Answer:

(3,-7) I think.