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Iteru [2.4K]
3 years ago
7

A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu

mped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Mathematics
1 answer:
Over [174]3 years ago
6 0

Answer:

the number A(t) of grams of salt in the tank at a time is <em>A(t)=150-110e-t/50</em>

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Solve for y 46=2y Simplify your answer as much as possible...
suter [353]

Answer:

23

Step-by-step explanation:

2y=46

y=46/2

y=23

hope this helps!!

6 0
3 years ago
Read 2 more answers
What is the solution to | 2x-4| &gt;8?
Serga [27]
| 2x-4| \ \textgreater \ 8 \\ \\ 2x - 4 \ \textgreater \  8 \ , \ -(2x - 4) \ \textgreater \  8 \ / \ break \ problem \ into \ 2 \ equations \\ \\ first \ equation  \\ \\ 2x \ \textgreater \  8 + 4 \ / \ add \ 4 \ to \ each \ side \\ \\ 2x \ \textgreater \  12 \ / \ simplify \\ \\ x \ \textgreater \   \frac{12}{2} \ / \ divide\ each \ side \ by \ 2 \\ \\ x \ \textgreater \  6 \ / \ simplify \\ \\ second \ equation \\ \\ -2x + 4 \ \textgreater \  8 \ / \ simplify \\ \\ -2x \ \textgreater \  8 - 4 \ / \ subtract \ 4 \ from \ each \ side \\ \\ -2x \ \textgreater \  4 \ / \ simplify \\ \\  x \ \textless \   \frac{4}{-2} \ / \ divide \ each \ side \ by \ -2 \\ \\ 
\\ \\ x \ \textless \  -  \frac{4}{2} \ / \ simplify \\ \\ x \ \textless \  - 2 \ / \ simplify \\ \\ collect \ solutions \\ \\ x \ \textgreater \  6 \ , \ x \ \textless \  -2 \\ \\

So, your answer to this problem is x > 6 and x < -2.
8 0
3 years ago
4. What is the rule of the nth term of the geometric sequence with <img src="https://tex.z-dn.net/?f=a_%7B4%7D" id="TexFormula1"
hram777 [196]

Answer:

\text{d.}\quad a_n=-2.25(2)^{n-1}

Step-by-step explanation:

The common ratio is given as 2, so the base of any exponential must be 2 (not -2 or 2.25). The 4th term is negative, so the initial value must be negative (since the multiplying factor is positive). The only selection matching these requirements is d.

You know the general term is ...

... an = a1·r^(n-1)

so the 4th term is

... -18 = a1·2^(4-1) = 8·a1

Then the first term is ...

... a1 = -18/8 = -2.25 . . . . . confirms our choice of answer d.

7 0
3 years ago
Which of the following indicates the subtraction property of equality when solving the equation 4(x + 9) + 5 = 3x − 8? Question
jeka94

Answer: 4(x + 9) = 3x − 8 − 5

Step-by-step explanation:

Hi, to answer this question we have to analyze the equation given:

4(x + 9) + 5 = 3x − 8

The subtraction property of equality states that if we subtract the same number from both sides of the equation, the equality remains.

So, if we subtract 5 from both sides:

4(x + 9) + 5-5 = 3x − 8 -5

4(x + 9) = 3x − 8 − 5  

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
How many times does 6 go into 110
juin [17]
6 goes into 110 approximately 18 times.
7 0
3 years ago
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