Answer:
t=3.5 seconds
Step-by-step explanation:
Given
h(t) = −16t^2 + 111t + 0
h'(t)= -32t + 111
Maximum height occurs when h(t) = 0 and the ball begins to fall
h(t)= -32t + 111=0
-32t + 111=0
-32t=-111
Divide both sides by -32
t=3.46872
Approximately, t=3.5 seconds
Recall,
Maximum height occurs when h(t) = 0
h(t)= -32t + 111=0
= -32(3.46872)+111
= -110.99904+111
= 0.00096 ft
57 minute will take to fill the tank.
Solution:
Height of the cylinder = 6 ft
Diameter of the cylinder = 6 ft
Radius of the cylinder = 6 ÷ 2 = 3 ft
Volume of the cylinder = πr²h
= 3.14 × 3² × 6
Volume of the cylinder = 169.56 cubic feet
Time taken to fill 3 cubic feet of water = 1 minute
Time taken to fill 169.56 cubic feet of water = 
= 56.52 minute
= 57 minute
Hence 57 minute will take to fill the tank.
Your product is 900 and you used associative property
Answer is a
You need to find the y-intercept (aka b). You can do that by simply looking where the graph intercepts with the Y-axis.
b= 1 (positive 1 and not negative)
Now we need to find the slope by the following
Slope aka m: (Y2-Y1)/(X2-X1)
Note: sometimes people say it’s rise/run which is the same thing as the previous formula.
Pick two points that fall on the graph. I chose (0,1) and (3,-4). Even though there are no numbers you can assume each square is a unit and count the squares.
Slope = (-4-1)/(3-0) = - 5/3
