Answer: 15
Step-by-step explanation:
The law of an object moving with constant acceleration is
Where 
is space, 
is time, 
is the initial position, 
is the initial velocity and 
is the acceleration.
In this case, if we choose a reference grid with the vertical axis pointing upwards, the acceleration of gravity will point downwards (and thus be negative). The initial position is zero, because the rocket is on the ground, and the initial velocity is 100 (positive because pointing upwards).
So, its law is
(I changed for 
since the rocket is moving vertically, so its position is actually its height. Also, g is the acceleration due to gravity).
The rocket hits the ground if its height is zero, so if we set 
we have
Solving for t, we have either t=0, or
The solution t=0 means that at the beginning the rocket is on the ground. So, we're interested in the other solution. Considering that g is about 32.2 feet/s^2, we have
Answer:
153.86 units squared.
Step-by-step explanation:
given
diameter (d) = 14
radius (r) = 14/ 2 = 7
Area of the circle
= πr²
= 3.14 * 7²
= 3.14 * 49
= 153.86 units squared
Hope it will help :)❤
Answer:
in 630 minutes, the population of the bacteria will 64,000
Step-by-step explanation:
current population of the bacteria = 8,000
and this population doubles every 210 minutes
0 (minute) ------------------------ 8,000 bacteria
210 + 0 (210 minutes) -------------------- 2 x 8,000 = 16,000 bacteria
210 + 210 ( 420 minutes) -------------------- 2 x 16,000 = 32,000 bacteria
420 + 210 (630 minutes) -------------------- 2 x 32,000 = 64,000 bacteria
Therefore, in 630 minutes, the population of the bacteria will 64,000
Slope is 9 or 9/1 and the y-intercept is -9 or (0,-9)
