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Kay [80]
2 years ago
13

What is the quotient?

Mathematics
1 answer:
ryzh [129]2 years ago
6 0

Answer:

just post them all in one question instead of a ton of different questions. it's annoying.

Step-by-step explanation:

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A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
bonufazy [111]

Answer:

A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

Rewriting, we have ...

A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

p = 300

From the initial condition, ...

A(0) = 300 +q = 40

q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

___

The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

6 0
3 years ago
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Jenna worked at an ice cream cart for 8.75 hours on Friday, 7.5 hours on Saturday she made a total of 178.25 How much does Jenna
Musya8 [376]
Jenna gets paid a total of 10.97 cents an hour<span />
4 0
3 years ago
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The sequence an = one third (3)n - 1 is graphed below: coordinate plane showing the points 2, 1; 3, 3; and 4, 9 Find the average
charle [14.2K]

9514 1404 393

Answer:

  6

Step-by-step explanation:

The slope of the line between (3, 3) and (4, 9) is given by the slope formula:

  m = <average rate of change> = (y2 -y1)/(x2 -x1)

  m = (9 -3)/(4 -3) = 6/1

  m = 6

The average rate of change on the interval [3, 4] is 6.

7 0
2 years ago
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If 2 : 9 = x : 18, then find the value of x
Anni [7]

Answer:

4

Step-by-step explanation:

4 is the answer

3 0
3 years ago
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Which ordered pair is a solution of the equation 2x − y = 9?
BigorU [14]

Answer:

The answer is C; (5, 1).

Step-by-step explanation:

2(5) - 1 = 9

10 - 1 = 9

9 = 9

9 = 9 is a true statement so the answer is C.

3 0
3 years ago
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