Answer:
4.397 * 10⁹
Step-by-step explanation:
(3.700 * 10⁹) + (6.970 * 10⁸) = (3.700 * 10 * 10⁸ ) + (6.970 * 10⁸)
= (37.00 * 10⁸) + (6.970 * 10⁸)
= (37.00 + 6.970) * 10⁸
= 43.97 * 10⁸
= 4.397 * 10 * 10⁸
= 4.397 * 10⁽¹⁺⁸⁾
= 4.397 * 10⁹
In a parallelogram, adjacent angles make 180°
So in 22
11x + 11 + 70 = 180
11x = 99
x = 9
In 23
12x + 10 + 50 = 180
12x = 120
x = 10
Going by the formula, Half-Life = ln(.5) / k
Half-Life = .693147 / .1205
Half-Life = 5.75 days and rounded to nearest tenth,
Half-Life = 5.8 days
Answer:
0.125 seconds.
Step-by-step explanation:
We have been given that the height of a ball above the ground as a function of time is given by the function , where h is the height of the ball in feet and t is the time in seconds.
We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.
To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.
Using formula , we will find the x-coordinate of vertex of parabola as:
Therefore, the ball will be at a maximum height after 0.125 seconds.
This happens whenever
or
. More generally,
whenever you start with one of these angles and add any multiple of
, so the general solution would be
, where
is any integer. (Notice that when
, you end up with
.)