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Olenka [21]
3 years ago
13

The height of the water in a tank when drained at the rate of 0.3 gallon per minute

Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

c

Step-by-step explanation:

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Can anyone please help me with this w
expeople1 [14]
5=27
N=5

Explanation=there’s a difference between each number of 5

Eg:12-7=5
17-12=5
22-17=5
So that means 22+5=27 and n=5 since it is the number difference
(I hope this helps you out)
3 0
3 years ago
What is the degree of the following polynomial?<br> 15x + 9x2 - 6x3 + 1
andrey2020 [161]

Answer:

3

Step-by-step explanation:

the one have largest power

5 0
3 years ago
Read 2 more answers
Lynn can type 1,650 words in 30 minutes. <br> What is her typing rate, in words per minute?
Marianna [84]
55 words per minute

1650/30 = 55
7 0
3 years ago
Read 2 more answers
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
Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 5x minus 8 when x is less than 0 a
vlabodo [156]
The limit does not exist. Why? Because the left hand limit DOES NOT equal the right hand limit. Let’s double check:

We could use -0.000001 to represent the left hand limit. This is less than 0. We plug in 5x - 8

5(-0.000001) - 8
-0.000005 - 8
-8.000005
If we would continue the limit (extend the zeros to infinity), we would get exactly
-8
That is our left hand limit.

Our right hand limit will be represented by 0.000001. This is greater than 0. We plug in abs(-4 - x)

abs(-4 - (0.000001))
abs(-4.000001)
4.000001
If we would continue the limit (extend the zeros to infinity), we would get exactly
4

4 does not equal -8, therefore

The limit does not exist
4 0
3 years ago
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