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riadik2000 [5.3K]
3 years ago
10

Jada walks up to a tank of water that can hold up to 15 gallons. When it is active, a drain empties from the tank at a constant

rate. When Jada first sees the tank, it contains 12 gallons of water. Three minutes later, the tank contains 6 gallons of water.
At what rate is the amount of water in the tank changing. Use a signed number. (positive or negative number)

gallons per minute

How many more minutes will it take for the tank to drain completely?

minutes

How many minutes before Jada arrived was the water tank completely full?

minutes
Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

3 minutes 6 gallons of water is gone so therefor it would take 6 complete minutes but 3 more minutes

Step-by-step explanation:

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What is 347,168 round to then thoudands
Finger [1]

Answer:

347,168 rounded to the nearest ten thousands would be 350,000.

Step-by-step explanation:

When rounding to the nearest ten thousands, you rely on the thousands place value to indicate whether to round up or down. 5 or higher give it a shove, 4 or less let it rest. 7 is in the thousands place meaning we round up. 4 is in the ten thousands place meaning it becomes 5. 347,168 rounded to the nearest ten thousands would be 350,000.

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3 years ago
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A star in the sky appears to move by 12 arcseconds over the course of 6 months. Convert this number into first areminutes then d
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Answer:

Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.

To Find :Convert this number into first arc minutes then degrees.

Solution:

60 arc seconds = 1 arc minute

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12 arc seconds = \frac{1}{60} \times 12 arc minute

12 arc seconds = \frac{1}{5} arc minute

So, 12 arc seconds = \frac{1}{5} arc minute

Now convert it into degrees

60 arc minute = 1 degree

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\frac{1}{5} arc minute = \frac{1}{300} degrees

12 arc seconds = \frac{1}{300} degrees

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3 years ago
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Step-by-step explanation:

-5/-5

7 0
3 years ago
amortization for house costs 35,000.00 at 6.5% interest for 10 years and payments of 400.00 were paid for 36 months what is the
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Step-by-step explanation:

8 0
2 years ago
Find the indefinite integral using the substitution provided.
Nady [450]

Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation u = e^{2x}+10

Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

4 0
2 years ago
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