Answer:
x= (4,-7)
y= (6,-10)
z= (7,-4)
Step-by-step explanation:
Answer:
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder
Step-by-step explanation:
Here we have the volume of a cylinder given by
Volume of a cylinder = πr²h
Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have
Height of bottom of is then
Height = h - b
Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)
Volume of bottom of cylinder = π·r²·h - π·r²b
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.
If it took you (one person) 3 days to build a doghouse, then it should take 2 people to build it in half the time. So all we have to do is split 3 days in 2.
3/2 = 1.5
So it would take 1 1/2 days or 36 hours for 2 people to complete the doghouse.
Answer:
y = 5 e^r * t
Let y be the population in billions and t the value of elapsed years
7 = 5 e^r * t is the equation being used where t = 15
7/5 = e^r * t
ln 7/5 = r * t taking ln of both sides
r = .336 / 15 = .0224
y = 5 e^(.0224 t) is then our equation
Check - suppose you want y at 2020
y = 5 e^(.0224 * 20) would be the equation
y = 5 e^.449 = 7.83 billion - seems to be a reasonable answer
You can simplifying 24/3 by dividing 24 by 3.
24÷3=8
The answer is 8.