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2 years ago

Please help!!!!!!!!!!! :(((

Mathematics

2 answers:

kykrilka [37]2 years ago

5 0

Answer:

7.5

Step-by-step explanation:

Use pythagorean thereom

lbvjy [14]2 years ago

5 0

The answer is 7,5

you can use pythagorean theorem coz this is a right triangle

a^2 + b^2 = c^2
(4,5)^2 + 6^2 = m^2
20,25 + 36 = m^2
m^2 = 56,25
m = 7,5

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3 years ago

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1 year ago

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2 years ago

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umka2103 [35]

Answer:

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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.

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3 years ago