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Mashcka [7]
2 years ago
15

Kevin can travel 22 1/2 miles in 1/3 hours. What is his average speed in miles per hour

Mathematics
1 answer:
slava [35]2 years ago
5 0

Answer:

67 1/2

Step-by-step explanation:

22 1/2*3

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Please I need help solve for x
oksano4ka [1.4K]

Answer:

If you see 5 18 b on there than first you need to convert A to B to C, but if it is still not congruent than, keep checking. Also the answer should be 8x 5 im sorry if it's wrong just got up i got it right on my test

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Mel buys paper plates and paper cups for an event.
earnstyle [38]
For this you need to find the lcm of 36 and 60 = 180
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4(x + 3) + 2x in the simplest form
leonid [27]

Answer:

6x + 12

Step-by-step explanation:

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3 years ago
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The number of salmon swimming upstream to spawn is approximated by the following function:
umka2103 [35]

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:

S'(x) = -3\cdot x^{2}+4\cdot x +405 (Eq. 1)

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.

5 0
3 years ago
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