US National forest cover approximately 300,000 square miles. conversationalist want the total square footage of forests to be 30
1 answer:
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Answer:
Step-by-step explanation:
The large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved.
Volume = 500 gallons
Initial Amount of Salt, A(0)=50 pounds
Brine solution with concentration of 2 lb/gal is pumped into the tank at a rate of 3 gal/min
=(concentration of salt in inflow)(input rate of brine)
When the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min.
Concentration c(t) of the salt in the tank at time t
Concentration,
=(concentration of salt in outflow)(output rate of brine)
Now, the rate of change of the amount of salt in the tank
We solve the resulting differential equation by separation of variables.
Taking the integral of both sides
Recall that when t=0, A(t)=50 (our initial condition)
Answer: The expressions for the length and width of the new patio are
And the area of the new patio is 384 sq. feet.
Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.
The length of one side of the square patio is represented by x.
We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.
Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be
The length of the patio is increased by 4 feet, so the length of the new patio will be
Now, if the original patio measures 20 feet by 20 feet, then we must have
and
Therefore, the area of the new patio is given by
Thus, the expressions for the length and width of the new patio are
And the area of the new patio is 384 sq. feet.