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.
Find out more at: brainly.com/question/11535666
Answer:
£0.33
Step-by-step explanation:
Rhianna has £25.
1 plant costs £3.95, she buys all of them.
25/3.95 = 6.329114
She buys a total of 6 plants.
With £0.33 remaining, which is the change.
Magnitude = sqrt (4^2 + 4^2 + 1^2) = sqrt 33 Answer
7-3x=4(2+x)<--Distribute
7-3x=8+4x
-7...... -7
---------------
-3x=1+4x
-4x ....-4x
--------------
-7x=1
/-7 /7
---------------
x=-1/7
4x² - 3xy + 9y² - 3(5xy + 7y²)
4x² - 3xy + 9y² - 3(5xy) - 3(7y²)
4x² - 3xy + 9y² - 15xy - 21y²
4x² - 3xy - 15xy + 9y² - 21y²
4x² - 18xy - 12y²
