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3 years ago

What is this called, like whats the name of this thing?? {18 ≤ y ≤ 30}

Mathematics

1 answer:

Tpy6a [65]3 years ago

3 0

Answer:

An inequality.

Step-by-step explanation:

This gives the range of values that y can take.

It can equal 18 or be greater than eighteen but it also could be 30 or less than thirty.

WE read the signs starting from y to the left and to the right.

So y is greater or equal to 18 and less than or equal to 30.

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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

Anyoneee?? Mean Median and mode

juin [17]

Answer:

mode is the most occuring number which is in this case 11

you get the median by putting them in order from least to greatest and them marking them out until you get to the middle but if there are two numbers in the middle you add them and then divide by two and that is your median but in this case your median is 11

you get the mean by adding all the numbers together and dividing by how many numbers there are so in this case you are dividing by 9 and when you add oall of these numbers together you get 98 and 98/9 is 10.8888888889 which you would round and get 10.9

hope this helps

3 0

3 years ago

What is the greatest common factor you can use to divide the numerator and denominator of the fraction 28/32?

Anastaziya [24]

The greatest common factor is 4.

28/32 / 4 = 7/8

7 0

3 years ago

Find the value of x and the value of y

WARRIOR [948]

I’m pretty sure it’s b.

6 0

3 years ago

Help me help me answer this

Leya [2.2K]

If both triangles are congruent (that's what the sign means), then AD=CB, and CD=AB. Substituting what we are given into CD=AB,

6x-5=3x+10

Solving the equation:

3x=15

x=5

So we know that 2x+4 (the value of AD) becomes 2*5 +4, and you get 14. Since we know that AD=CB, then CB is also 14. No need to find y!

Answer: CB=14

8 0

3 years ago