Answer=A
Let's write the an equation in slope intercept for for the line.
y-intercept=10
slope=rise/run=15/2=7.5
equation:
y=mx+b
y=7.5x+10
Solve for x=7
y=7.5(7)+10
y=52.5+10
y=62.5
Answer=A
Answer:
400 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x
Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x
The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:
1500 = 1000 + 5x
5x = 1500 - 1000
5x = 500
x = 100 minutes.
1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb
Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt
One because the law of consines works on it
190.18 is the average balance
<span>hello :
</span>cot(-x) tan(x)=-1......(*)
* cot(x) = 1/tan(x)
cot(-x) = -cot(x)= -(1/tan(x))
cot(-x) tan(x) = -(1/tan(x))×tan(x)=-1
