Step-by-step explanation:
I think the answer should be y = 36 ( 3x) as the numbers in the sequence are being divide by 3
it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.
Let h(t) represent the height of the ball at time t.
Given that the height is given by:
h(t) = -16t² + 80t + 40
1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:
40 = -16t² + 80t + 40
16t² - 80t = 0
t(t - 5) = 0
t = 0 or t = 5
Hence it takes 5 seconds to reach a height of 40 ft.
2) The maximum height is at h'(t) = 0,
h'(t) = -32t + 80
-32t + 80 = 0
32t = 80
t = 2.5
It takes 2.5 seconds to reach maximum height.
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Answer:
164m (to 3 s.f.)
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
256 ft²
Step-by-step explanation:
Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²
Area of a rectangle = width x length
⇒ area of larger rectangle = 6 x 12 = 72 ft²
⇒ area of smaller rectangle area = 6 x 7 = 42 ft²
⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²
