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3 years ago

1. A board is 10.17 feet long. Sandy needs

Mathematics

1 answer:

Simora [160]3 years ago

5 0

Answer:

3.39 ft, 2

Step-by-step explanation:

Given that a board is 10.17 feet long. Sandy needs

to cut the board into 3 equal sections.

Let x be the length of each piece then we have

$3x=10.17\\x = 3.39$ ft

Each section would be 3.39 feet long.

-----------------------

When each is 5.085 feet let y be the number of pieces

Then

$5.085 y = 10.17\\y =2$

Two sections would be needed

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The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

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The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

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$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

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=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

5 0

3 years ago

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BaLLatris [955]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

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Vaselesa [24]

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w = -1

hope this helps, God bless!

8 0

3 years ago

Read 2 more answers

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vlada-n [284]

Answer: X = 4.5

Step-by-step explanation:

The proportion is 8/9 for the lines. All we have to do is divide 4 by 8/9 to find the exact value of X.

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I hope this helps!

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3 years ago