To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time to reach max height = 5 seconds
time it will reach the ground = 10 s
Answer:
$70
Step-by-step explanation:
Interest = Principal x Rate x Time
p = 3500
r = .02
t = 1
multiply the above and you get 70
Let the number of bags that he would have been used to put 3 kg of apples be x. Thus the number of bags that would be used to put 2kgs will therefore be (x+9), hence the total number of kgs the bags will hold will be given by:
3*x=3x kgs
2(x+9)=(2x+18) kgs
since the total weights are the same then:
2x+18=3x
hence
18=3x-2x
18=x
thus the number of bags required to put 3 kgs of apples will be 18. Thus the total Kgs of apples was:
3x
=3*18
=54 kgs
Answer:
x^2−64
Step-by-step explanation:
(x+8)(x−8)
=(x+8)(x+−8)
=(x)(x)+(x)(−8)+(8)(x)+(8)(−8)
=x^2−8x+8x−64
=x^2−64
Answer:
69 yards
Step-by-step explanation:
The circumference is 
The diameter is 

If the diameter is 69 then then the radius is 34.5

Hope this helps you!
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