Answer:
44,286
Step-by-step explanation:
The rule is multiplying by -3.
The sequence goes -3, 9, -27, 81, -243, 729, -2187, 6561, -19683, 59049
Add all of those up and you get 44,286
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).
Incoming rate = (a g/L)×(1 L/min)
=a g/min
The concentration of salt in the tank at any time t is = g/L
Outgoing rate =
Integrating both sides
[ where c arbitrary constant]
Initial condition when t= 20 , Q(t)= 15 gram
Therefore ,
.......(1)
In the starting time t=0 and Q(t)=0
Putting t=0 and Q(t)=0 in equation (1) we get
Therefore the concentration of salt in the incoming brine is 1.73 g/L
Answer:
B
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = ( multiply both sides by 7 to clear the fraction )
7y = x + 2 ( subtract 2 from both sides )
7y - 2 = x
Change y back into terms of x with x the inverse function, that is
p(x) = 7x - 2
Answer and explanation:
We know that this is in slope-intercept form. ( y = mx + b )
1/2 would be the slope (you would use this to graph the next point)
-4 would by your y-intercept (where the line crosses the x-axis)
With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.
Multiply both sides by 2 to clear the fraction.
-3x + 6 <= 24
subtract 6 from both sides.
-3 x <= 18
divide both sides by -3, since you're dividing an inequality by a negative number you have to change the direction of the inequality sign.
x >= -6