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Verizon [17]
3 years ago
12

A tank contains 8000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped into the tank at a rate of 2

5 L/min. The concentration of salt after t minutes (in grams per liter) is C(t) = 35t 320 + t . As t → [infinity], what does the concentration approach?
Mathematics
1 answer:
OleMash [197]3 years ago
3 0

Answer:

The concentration of salt in the tank approaches 35 \mathrm{g} / \mathrm{L},

Step-by-step explanation:

Data provide in the question:

Water contained in the tank = 8000 L

Salt per litre contained in Brine = 35 g/L

Rate of pumping water into the tank = 25 L/min

Concentration of salt \lim _{t \rightarrow \infty} C(t)=\lim _{t \rightarrow \infty} \frac{35 t}{320+t}

Now,

Dividing both numerator and denominator by t, we have

\lim _{t \rightarrow \infty} \frac{\frac{1}{t} 35 t}{\frac{1}{t}(320+t)}=\lim _{t \rightarrow \infty} \frac{35}{\frac{320}{t}+1}=35

Here,

The concentration of salt in the tank approaches 35 \mathrm{g} / \mathrm{L},

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Please help math question !! need range and domain for each picture thank you so much !
Lera25 [3.4K]

Answer: The correct option for figure 1 is (a) and correct option for figure 2 is (b).

Explanation:

Domain is the set of input and range is the set of output.

If a function is defined by f(x), then all the possible values of x is called domain and all the values of f(x) is called range.

In the figure (1)  the elements of first set is input(Domain) and the elements of second set is output(Range).

The values of first set are -2,-1,0 and 2, so,

Domain = { -2, -1, 0, 2}

The values of second are -4, -2 and 2, so,

Range = { -4, -2, 2}

In figure (2) the values of x and y are given, the values of x are domain and the values of y are range.

The values of x are -4, -2, 1 and 4, so,

Domain = { -4, -2, 1, 4}

The values of y are -2, 1, 4 and 4,, Since the repetition of elements are not allowed in the set so,

Range = { -2, 1, 4}

Therefore, the option (a) is correct for figure (1) and the option (b) is correct for figure (2).

4 0
3 years ago
Which choice is NOT a way to find 7 ÷ 3?<br> A- 1/3 of 7<br> B- 7 × 1/3<br> C- 1/7 of 3<br> D- 7/3
lutik1710 [3]
The answer is C) 1/7 of 3.
Because all others are correct and this one is incorrect.
4 0
3 years ago
Read 2 more answers
Please answer the question ​
Lady bird [3.3K]

Answer:

the first one is

+2 +4 + 8 + 16 +32

he multiply by 2 every time he add numbers so its 65

the second one he make this

-8 -4 -2 -1

every time he Take from numbers he devide by 2

so its 5

the third one

+6 +18 + 54 + 162

every time he add he multiply by 3

ao its 162 +80 =242

the fourth one is

+33 +66 + 132 +264

he multiply by 2 every time he add

so its 267+264=531

the fiveth one is

he put the roots

2²,3²,4²,5²,6²

so the answer is 36

Step-by-step explanation:

A 65

B 5

C 242

D 531

E 36

hopefully its helpful man

6 0
2 years ago
PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! THANK YOUUU!!! &lt;33
Usimov [2.4K]

Answer:

16π or 50.24

Step-by-step explanation:

Area of a circle is πr^2

π*4^2

16π

5 0
3 years ago
Please Help!!
algol13
When you see questions of this nature, test the individual inequalities and look out for their intersection.

For
y < \frac{2}{3} x
Choose a point in the lower or upper half plane created by the line
y = \frac{2}{3} x
The above line is the one which goes through the origin.

Now testing (1,0) yields,

0 < \frac{2}{3} (1)
That is,

0 < \frac{2}{3}
This statement is true. So we shade the lower half of
y = \frac{2}{3} x

For
y \geqslant - x + 2
We test for the origin because, it is not passing through the origin.

0 \geqslant - (0) + 2
This yields
0 \geqslant 2
This statement is false so we shade the upper half.

The intersection is the region shaded in B. The top right graph
8 0
3 years ago
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