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viva [34]
3 years ago
6

You work for a florist. Normally, it’s takes you 20 hours to assemble 10 flower arrangements. How long does it take you to assem

ble one flower arrangement?
Mathematics
2 answers:
Mashcka [7]3 years ago
3 0
2 hours because 20/10 = 2

Vitek1552 [10]3 years ago
3 0
20/10= 2

That is 2 hours per flower arrangement.

So, 

One flower arrangement would take 2 hours to assemble.

I hope this helps!
~kaikers
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The number of salmon swimming upstream to spawn is approximated by the following function:
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Answer:

The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

Step-by-step explanation:

Let S(x) = -x^{3}+2\cdot x^{2}+405\cdot x +4965, for 6 \leq x \leq 20. x represents the temperature of the water, measured in degrees Celsius, and S is the number of salmon swimming upstream to spawn, dimensionless.

We compute the first and second derivatives of the function:

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S''(x) = -6\cdot x +4 (Eq. 2)

Then we equalize (Eq. 1) to zero and solve for x:

-3\cdot x^{2}+4\cdot x +405 = 0

And all roots are found by Quadratic Formula:

x_{1} \approx 12.305\,^{\circ}C, x_{2}\approx -10.971\,^{\circ}C

Only the first root is inside the given interval of the function. Hence, the correct answer is:

x \approx 12.305\,^{\circ}C

Now we evaluate the second derivative at given result. That is:

S''(12.305) = -6\cdot (12.305)+4

S''(12.305) = -69.83

According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

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