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brilliants [131]
3 years ago
8

Find the area of the trapezoid? and no links ​

Mathematics
2 answers:
vovikov84 [41]3 years ago
7 0
Add all the sides n u will get ur answer
MAVERICK [17]3 years ago
5 0

Area = 1/2 (base 1 + base 2) height

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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
What is the value of x in the equation below?<br><br> 6 (x minus 8) = 72<br> 12<br> 15<br> 20<br> 24
andriy [413]
The answer is c, 20.
3 0
3 years ago
Read 2 more answers
I need help!!!
BaLLatris [955]

(1) -6 x + 8 x = -46 Answer = -23

(2) w + 3/4 = w - 2/2 Answer = {}

(3) 2 x + 16 = 3(x - 9) Answer = 43

(4) Answer D)

(5) -3 x + 4 = -8 Answer x = 4

(6) C)

(7) B)

(8) C)

(9) x + 3/5=2 Answer x = 7/5

(10) 4 - 2 x = 10 Answer x=  = -3

If something is wrong apologize, I hope it helps.


6 0
3 years ago
4. The Emerson First National Bank is lending you money to buy a new car. The loan agreement will probably state
BlackZzzverrR [31]

Answer:

D. liability​

Step-by-step explanation:

The Emerson First National Bank is lending you money to buy a new car.

Before an agreement will be reached for any Organization to lend someone money there have to be something like a collateral.

The agreement will in it's document state that there must be a form of a reliability to hold on, such that if something's happen to the car, or you don't meet the paying up time, or something happens to you,they will see something to hold on.

5 0
3 years ago
PLS HELP DUE IN 10 MINUTES I WILL GIVE BRAINLIEST FIVE STARS AND A THANKS NO JOKE IM RLLY DESPERATE SO PLS HELPPPPPP :c IF U DID
frutty [35]

Answer:

-1/2

Step-by-step explanation:

counting down by 2 over one

6 0
3 years ago
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