Answer:
0.5 seconds
Step-by-step explanation:
On the ground, height is 0
-16t² + 4 = 0
16t² = 4
t² = 4/16
t² = ¼
t = ½
Answer: FIRST OPTION.
Step-by-step explanation:
First, it is important to remember that the Slope-Intercept form of the equation of a line is the shown below:

Where "m" is the slope of the line and "b" is the y-intercept.
By definiton, given a System of Linear equations, if they are exactly the same line, then the System of equations have Infinely many solutions.
In this case you have the following System of Linear equations given in the exercise:

So, since you need the system has Infinite solutions, you know that the slope and the y-intercept of both lines must be equal.
Therefore, you can identify that the value of "a" and "b" must be the following:

So the Linear System would be the shown below:

A.

The denominator of the second number goes down one because you aren't replacing the initial marble pulled, making the amount of marbles in the bag go down, but not affecting the white count because you pulled a purple marble.
b.

The same can be said about the denominator for this problem, but not the numerator. The numerator must go down one number as well, because you already chose one white marble, taking one of the white marbles out of the bag, leaving you with one solitary, white marble.
c.
Chance of selecting two purple marbles:
<u />

Chance of selecting two white marbles:

<u>Chance of selecting two purple</u> vs. <em>Chance of Selecting 2 white:</em>
<u>0.583</u>><em>0.278</em>.
It is more likely to select 2 purple marbles.
Hope this helps!