Answer:
16
Step-by-step explanation:
first you get rid of the exponents and get
9+25-2×9
then you multiply and get
9+25-18
then you add And get
34-18
lastly you subtract to get your answer which is
16
Answer:
B
Step-by-step explanation:
You multiply the 3 numbers.
Answer:
the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.
Step-by-step explanation:
The variation of the concentration of salt can be expressed as:

being
C1: the concentration of salt in the inflow
Qi: the flow entering the tank
C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)
Qo: the flow going out of the tank.
With no salt in the inflow (C1=0), the equation can be reduced to

Rearranging the equation, it becomes

Integrating both sides

It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.

The final equation for the concentration of salt at any given time is

To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:

Answer: 56j + 128
Step-by-step explanation:
Answer:
y = -1/2 | x+3|
Step-by-step explanation:
y = f(x + C) C > 0 moves it left
C < 0 moves it right
y = Cf(x) C > 1 stretches it in the y-direction
0 < C < 1 compresses it
y = −f(x) Reflects it about x-axis
Our parent function is
f(x) = |x|
We want it 3 units left
y = f(x + 3)
y = |x+3|
Then reflected across the x axis
y = −f(x)
y = -|x+3|
Then shrink by 1/2 vertically
y = Cf(x)
y = -1/2 | x+3|