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 it will reach the ground = 10 s
Answer: 3(x+4)=x+18
Step-by-step explanation: Break down the problem. It says three times the sum of a number and 4. You have to add the number and 4 first. Since you're multiplying by 3, put the sum of a number and 4 in parentheses. This equals the same as eighteen more than the number. It set up how it sounds. Add 18 to the number.
Yes the equations are equivalent
Answer:
18 and 5
Step-by-step explanation:
if 'x' - is the length and 'y' - the width of the rectangle, then
2(x+y)=46 - perimeter of the original rectangle and 2(2x+(y+5))=66 - the perimeter of the new rectangle.
Finally, the length is x=5 and the width is y=18.
Answer:
..2.50x + 3.75x = 15..
Step-by-step explanation:
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