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MA_775_DIABLO [31]
3 years ago
10

Substitute the value of (p) you just found, 285.7, into one of the equations in the system

Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Answer: 214.28

Step-by-step explanation:

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A tank contains 120 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
gtnhenbr [62]

If A(t) is the amount of salt in the tank at time t, then A(0) = 50 g and

A'(t) = (1 g/L)*(3 L/min) - (A(t)/120 g/L)*(3 L/min)

\implies A'+\dfrac A{40}=3

Multiply both sides by e^{t/40}, so that the left side can be condensed as the derivative of a product:

e^{t/40}A'+\dfrac{e^{t/40}}{40}A=3e^{t/40}

\left(e^{t/40}A\right)'=3e^{t/40}

Integrate both sides and solve for A(t).

e^{t/40}A=120e^{t/40}+C

\implies A(t)=120+Ce^{-t/40}

Given that A(0) = 50 g, we have

50=120+C\implies C=-70

so that the amount of salt in the tank at time t is

\boxed{A(t)=120-70e^{-t/40}}

7 0
3 years ago
What is the distance formula?
igomit [66]

Answer:

Distance Formula is

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

3 0
3 years ago
Read 2 more answers
In Jan's library, she has 24 informational books. If 15% of the books are informational text, how many total books are in her li
tatyana61 [14]

Answer:

160 books

Step-by-step explanation:

To find the total amount of something, when given the percent and how much value the percent is, use this

Total = \frac{Number*100}{Percent}

This way we get:

Total = \frac{24*100}{15} = \frac{2400}{15} = 160

Hope this answer helped! :)

6 0
3 years ago
A house is valued at $118,000.00. The homeowner decides to add on a two-car garage that increased the value of the home by 15%.H
nasty-shy [4]

Answer:

The value of the house after adding the garage is $135,700.

Step-by-step explanation:

Given,

value of house before adding garage = $118,200.00

we need to find the value of house after adding two car garage.

Solution,

Since after adding two car garage the value of the house increased by 15%.

So firstly we will find out the 15% of the value of the house after adding garage.

So we can say that;

15% of the value of the house after adding garage is equal to 15 divided by 100 the multiplied with the value of the house before adding garage.

15% of the value of the house after adding garage = \frac{15}{100}\times118,000=\$17,700

Now, The value of the house after adding garage is equal to the sum of value of house before adding garage and 15% of value of house before adding garage.

We can frame it in equation form as;

The value of the house after adding garage = \$118,000+\$17,000=\$135,700

Hence The value of the house after adding the garage is $135,700.

3 0
3 years ago
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
Rufina [12.5K]
It is 245m thank me later
7 0
3 years ago
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