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4 years ago

Determine the 15th term of the sequence 3, 6, 12,...

Mathematics

1 answer:

Yuri [45]4 years ago

5 0

The answer is 49,152.

You double the numbers as you go, it goes up to 49,152.

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Justin is saving money for a new gaming console. He currently has $200 in a saving account and each week $10 to his balance. In

Nikitich [7]

$500 - $200 = $300 dollars left.

$300 divided by $10 = 30 weeks.

8 0

4 years ago

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

125% is equivalent to what number

babymother [125]

125 is equivalent to

1.25

1 1/4

Pick either one... 1.25 is more likely to be correct

6 0

3 years ago

3 true conjectures that students may make concerning even and odd numbers

Elza [17]

Even numbers are divided by two

Even numbers are easier to cope with in math problems

There are only odd prime numbers

6 0

3 years ago

ASAP NEED HELP!!!!

alexira [117]

A. X+Y=50 y=x+20

B. 50-x=x+20 x=15 minutes

C. No, We know however much time Ted spends on the butterfly he spends 20 mins more on breast stroke. If he spends 45 mins on butterfly then he must spend 45+20= 65 mins on breast stroke. BUT we already know that he only spends 50 mins total, so it’s not possible

4 0

3 years ago