Answer:
(-4,6)
Step-by-step explanation:
When rotating 90 degrees counter clockwise you go from (x,y) to (-y,x)
First start by adding 2 to 4
then add 3 to 1
(6, 4)
then use the formula (-y,x) to change (6,4)
(-4,6)
The temperature of water that was boiled as it is left in a room at room temperature over a period of time.
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:
If f(x) = 3x, this means that any number that replaces x in the parenthesis, would replace x in the right side too.
When x = -1:
f(-1) = 3(-1) = -3
When x = 0:
f(0) = 3(0) = 0
When x = 3:
f(3) = 3(3) = 9
~
Answer:
The average of the grade is 7.
Step-by-step explanation:
Add all of the grades up then divide by the number of grades there are
8+8+5=21
21÷3=7
Have a blessed day! I hope my answer was helpful!!