Answer:
93 feet
Step-by-step explanation:
Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:
dh(t)/dt = v(t) = -32t + 72
The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
Therefore, the maximum height of the pumpkin is:
h(2.25) = -16(2.25)^2 + 72(2.25) + 12
h(2.25) = -81 + 162 + 12
h = 93 feet
Answer:
A) 5
Step-by-step explanation:
distance = √(distance between x coordinates² + distance between y coordinates²)
the horizontal distance between the two points is 4
the vertical distance between the two points is 3
to prove this, if you started at Q and went 4 points right and then 3 points up, you would get to P
distance = √(4²+3²) = √25 = 5
well from my understanding of the problem and calculations i would say.. (-5.5,0)
Answer:
0.75 points per minute
Step-by-step explanation:
9/12 is 0.75
So we can do anything to the equation as long as we do it to both sides
f+0.3<1.7
subtract 0.3 from both sides
f+0.3-0.3<1.7-0.3
f+0<1.4
f<1.4
so f is less than 1.4 not including 1.4
a number line would have a dot that is NOT filled in on 1.4 and then from that dot, it would go in the negative direction forever (normally to the left)
number line included