Answer:
(a) 12 m
(b) 32 m/s
Step-by-step explanation:
(a) The height of the platform is h(0) i.e. the height, h, at time t = 0 secs, since the ball would not have been thrown at that time.
Therefore, h(0) is:
The height of the platform is 12 m.
(b) The initial velocity when the baseball is thrown will be v(0) that is velocity when t = 0 secs.
We obtain velocity, v, by differentiating height, h, with respect to time:
Therefore, at time t = 0 secs:
The initial velocity of the baseball when it is thrown is 32 m/s.
Answer:
You have three card : 3, 4, 5 and 6.
You first pick one card randomly, the probability of picking a 3 is:
P = 1/4
You then pick a second card without putting the first card back, the probability of picking a 3 is:
P = 1/3
=> The probability of picking a 3 and then picking a 3:
P = (1/4) x (1/3) = 1/12
Hope this helps!
:)
Answer:
517.5 mi^2
Step-by-step explanation:
Divide shapes into 3 shapes ( 1 triangle and 2 rectangles
b = 17
h = 25
Area of triangle = Bh
A = (17)(25)
A = 212.5 mi^2
Area of 1st rectangle = lw = 17(9) = 153 mi^2
Area of 2nd rectangle = lw = 19(8) = 152 mi^2
Area of figure = 212.5 +153 + 152 = 517.5 mi^2
Answer:
12 - p
Step-by-step explanation:
12 - p
Answer:
Yes, they do vary directly.
The Constant of Proportionality is (-5)
Step-by-step explanation:
3 x (-5) = (-15)
1 x (-5) = (-5)
0 x (-5) = 0
(-2) x (-5) = 10