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4 years ago

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A textile manufacturing process finds that on average, six flaws occur per every 140 yards of material produced

1 answer:

77julia77 [94]4 years ago

3 0

Answer:

yes

Step-by-step explanation:

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Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for

Rudik [331]

A(t) = Ao*e^(-rt)

-rt = ln [ A(t)/ Ao]

t = - ln [ A(t)/ Ao] / r

r= 0.0124% = 0.0124/100 = 0.000124

A(t)/A0 = 10% = 10/100 = 0.1

Now substitute

t = - ln [0.1] / 0.000124 = 2.3025851 / 0.000124 = 18,569 years

Your result will depend on how you round ln(0.1).

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4 years ago

What is the slope between <br> (2,5) (4, 13)

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Answer:

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3 years ago

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Complete parts a through c for the given function.

victus00 [196]

Answer:

a. The critcal points are at

$x=0,-5,3$

b. Then, $x = -5$ is a maximum and $x=3$ is a minimum

c. The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

Step-by-step explanation:

(a)

Remember that you need to find the points where

$f'(x)=0$

Therefore you have to solve this equation.

$20x^4 + 40x^3 - 300x^2 = 0$

From that equation you can factor out $20x^2$ and you would get

$20x^2 ( x^2 +2x - 15) = 0$

And from that you would have $20x^2 = 0$ , so $x = 0$ .

And you would also have $x^2 +2x-15 = 0$ .

You can factor that equation as $x^2 +2x -15 = (x+5)(x-3) = 0$

Therefore $x=-5 , x=3$ .

So the critcal points are at

$x=0,-5,3$

b.

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

$f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\$

Then, $x = -5$ is a maximum and $x=3$ is a minimum

c.

The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

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3 years ago

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657 stamps is what they would have combined

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3 years ago

There are 350 members in a swimming club. Of them, 2/7 are new members. Of the new members, 3/10 are females. How many new femal

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350 / 7 = 50
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100 new members

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30 are new female members

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4 years ago

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