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suter [353]
3 years ago
11

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE I

N 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASE

Mathematics
2 answers:
dlinn [17]3 years ago
7 0

Answer:

C!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Have a good day UvU

Allisa [31]3 years ago
6 0

Answer and Step-by-step explanation:(MAKE ME BRAINLIEST)

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Initially a tank contains 10 liters of pure water. Brine of unknown (but constant) concentration of salt is flowing in at 1 lite
zhenek [66]

Answer:

Therefore the concentration of salt in the incoming brine is 1.73 g/L.

Step-by-step explanation:

Here the amount of incoming and outgoing of water are equal. Then the amount of water in the tank remain same = 10 liters.

Let the concentration of salt  be a gram/L

Let the amount salt in the tank at any time t be Q(t).

\frac{dQ}{dt} =\textrm {incoming rate - outgoing rate}

Incoming rate = (a g/L)×(1 L/min)

                       =a g/min

The concentration of salt in the tank at any time t is = \frac{Q(t)}{10}  g/L

Outgoing rate = (\frac{Q(t)}{10} g/L)(1 L/ min) \frac{Q(t)}{10} g/min

\frac{dQ}{dt} = a- \frac{Q(t)}{10}

\Rightarrow \frac{dQ}{10a-Q(t)} =\frac{1}{10} dt

Integrating both sides

\Rightarrow \int \frac{dQ}{10a-Q(t)} =\int\frac{1}{10} dt

\Rightarrow -log|10a-Q(t)|=\frac{1}{10} t +c        [ where c arbitrary constant]

Initial condition when t= 20 , Q(t)= 15 gram

\Rightarrow -log|10a-15|=\frac{1}{10}\times 20 +c

\Rightarrow -log|10a-15|-2=c

Therefore ,

-log|10a-Q(t)|=\frac{1}{10} t -log|10a-15|-2 .......(1)

In the starting time t=0 and Q(t)=0

Putting t=0 and Q(t)=0  in equation (1) we get

- log|10a|= -log|10a-15| -2

\Rightarrow- log|10a|+log|10a-15|= -2

\Rightarrow log|\frac{10a-15}{10a}|= -2

\Rightarrow |\frac{10a-15}{10a}|=e ^{-2}

\Rightarrow 1-\frac{15}{10a} =e^{-2}

\Rightarrow \frac{15}{10a} =1-e^{-2}

\Rightarrow \frac{3}{2a} =1-e^{-2}

\Rightarrow2a= \frac{3}{1-e^{-2}}

\Rightarrow a = 1.73

Therefore the concentration of salt in the incoming brine is 1.73 g/L

8 0
3 years ago
7
Natasha_Volkova [10]

Answer:

The answer is "As the number of files increases, the storage space used decreases."

Step-by-step explanation:

When the music files are put into storage they take up space, this causes the storage space to decrease.

8 0
3 years ago
The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in term
irinina [24]

Answer:

The required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

5 0
3 years ago
PLEASE HELP!!!!! A cylinder shaped container has a radius of 30 cm and a height of 100 cm. A glass sphere with a radius of 12 cm
SSSSS [86.1K]

Answer: The answer is 275,365 cm³  I just took the test so I know this is correct

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Given the function LaTeX: f\left(x\right)=-5x^2-x+20f ( x ) = − 5 x 2 − x + 20, find LaTeX: f\left(2\right)f ( 2 ). Group of ans
BartSMP [9]

The value of f(2) is -2 ⇒ 1st answer

Step-by-step explanation:

The form of the quadratic function is;

f(x) = ax² + bx + c, where

  • a is the coefficient of x²
  • b is the coefficient of x
  • c is the numerical term
  • x is the domain of the function and f(x) is the range of the function

∵ f(x) = -5x² - x + 20

- f(2) means value f(x) at x = 2

∵ x = 2

- Substitute x in the function by 2 to find f(2)

∵ f(2) = -5(2)² - (2) + 20

∴ f(2) = -5(4) - 2 + 20

∴ f(2) = -20 - 2 + 20

∴ f(2) = -2

The value of f(2) is -2

Learn more:

You can learn more about the function in brainly.com/question/12363217

#LearnwithBrainly

6 0
3 years ago
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