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: 1) x> -21
2) x is less than or equal to -21
3) x is less than or equal to 16
4) x less than or equal to 3/4
Answer:
1.5 or 3/2 teaspoons
Step-by-step explanation:
If her class has 36 students, and there are 12 cookies in every batch, then she needs 3 batches to give everyone in her class 1 cookie each. It takes 1/2 teaspoon for every recipe, so she needs 3 of those. 3 × 1/2 = 1.5 (or 3/2)
<span>He started with 184 digital cameras and 56 manual cameras
Work--> </span>d + m = 240 equation 1 (d-82) = 3(m-26) equation 2d - 82 = 3m - 78d - 3m = 82 - 78d - 3m = 16 equation 2 simplified d + m = 240d - 3m = 16 subtract equation 1 from equation 2--------------- -4m = -224 m = -224/-4 m = 56 d + m = 240d = 240-md = 240-56d = 184
