Answer:
Step-by-step explanation:
For this case the solution flows at a rate of 2L/min and leaves at 1L/min. So then we can conclude the volume is given by
Since the initial volume is 10 L and the volume increase at a rate of 1L/min.
For this case we can define A as the concentration for the salt in the container. And for this case we can set up the following differential equation:
Because at the begin we have a concentration of 8 gr/L and would be decreasing at a rate of
So then we can reorder the differential equation like this:
We find the solution using the integration factor:
And then the solution would be given by:
And if we simplify this we got:
And after do the integral we got:
And using the initial condition t=0 A= 20 we have this:
So then we have this function for the solution of A:
And now replacinf t= 40 we got:
17 Is not the right answer whats the right answer
Answer:
a=5-b
now substituting to 2nd eqn
5-b-b=1
5-2b=1
4=2b
b=2
again,
a-2=1
a=3
<em>10 meters.</em>
Step-by-step explanation:
To find the missing side of a right triangle, we can use the <u>Pythagorean theorem</u>.
The Pythagorean theorem is...
Please be sure to note that a and b will <em>always </em>be the length of the sides and c will <em>always </em>be the hypotenuse, or in this case the ramp.
Since we know the values of both of the sides we can plug this into the theorem.
Now we can solve.
Add.
Many people will make the mistake of thinking 100 is the final answer, but since c is squared we need to find the square root of 100.
c = 10
<em><u>The ramp is 10 meters.</u></em>
<h3>Answers:</h3>
1% of 300 is <u> 3 </u>
So 64% of 300 is <u> 192 </u>
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Further explanation:
To take 1% of 300, we just chop off the extra zeros. So that's how I got 3.
To go from 1% to 64%, that's a jump of "times 64". Meaning you multiply that '3' by 64 to get 64*3 = 192.
Notice that 192/300 = 0.64 = 64% to confirm the answer.