Answer:
Increasing → (-∞, -0.5)
Decreasing → (-0.5, ∞)
Step-by-step explanation:
From the picture attached,
Vertex of the parabola represents the highest point of the curve of a quadratic function 'f'.
Left part from the vertex is increasing and the right side is increasing.
x-coordinates of the vertex,
x = -0.5
Therefore, graph of the function is increasing in the interval (-∞, -0.5)
And decreasing in the interval (-0.5, ∞).
Answer: 6 feet
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cone= (1/3) π radius² height
Replacing with the values given and solving for r:
36π = (1/3) π r² 12
36π/ [(1/3) π 12]= r²
9 = r²
√9 =r
3 ft = r
Since:
Diameter = 2 x radius
Substituting r=3
D = 2x 3
D = 6 feet
Feel free to ask for more if needed or if you did not understand something.
The standard kinematics equation is for an object projected vertically is:
H(t)=H0+v0(t)+(1/2)at^2
H0=height at time 0
v0(t)=vertical velocity at time 0
a=acceleration [equals -g for gravity]
H(t) height of projectile at time t.
We're given
H0=2.5'
v0=45 '/s
a=-32.2 '/s^2
so the kinematics equation is
H(t)=2.5+45(t)+(1/2)(-32.2)t^2= 2.5+45t-16.1t^2
Solve for H(t)=5.5 using the quadratic formula:
H(t)=5.5= 2.5+45t-16.1t^2
t=0.0683 s [ on its way up ], or
t=2.727 s [caught on its way down]
Therefore the football was in the air for 2.727 seconds.
5/8÷8=5/8×1/8
5/64 is the answer