Answer:
4.5 seconds pass before reaching the ground
Step-by-step explanation:
The height of the object is given by the following equation:

How many seconds pass before reaching the ground
It hits the ground when h(t) = 0. So






There are no negative instants of time, so only the positive answer interests to us.
4.5 seconds pass before reaching the ground
Answer:
Lucas monthly net pay is $1758
Step-by-step explanation:
Lucas works for a salary of $2,396 per month.
His deductions include $360 of federal income tax,
$148 for Social Security,
$35 for Medicare, and
a $95 insurance premium.
Now,
2396 - 360 - 148 - 35 - 95 = 1758
Thus, Lucas monthly net pay is $1758
<u>-TheUnknownScientist</u>
Answer:
No
Step-by-step explanation:
No it does not. For (4,1), x is equal to 4 and y is equal to 1.
This makes the equation y=x: 1=4
4 does NOT equal 1, so the equation will be false.
Answer:
Explanation:
1. Quantiy R
Decay model:

That is a first order reaction, whose solution is:

The value at t = 0, R(0) = 100 is R₀.
Thus, the law is:

2. Quantity S
Decay model:

That is a zero order kinetic, whose solution is:

The value at t = 0, S(0) = 125 is S₀
Thus, the law is:

<u>3. At what time will there ve equal quantities of both substances?</u>
You must solve the system doing R(t) = S(t)

That equation must be solved by graphing or by consecutive iterations
Note that when t = 0 R(t) = 100 and S(t) = 125. From, that the quantities decreases.
Subsitute with t = 10.
- The left-hand side yields: 61 and the right-hand side yields 85.
Then, the time is greater than 10.
Substitute with t = 15
t = 20
t = 25
t = 24
Hence, 24 seconds is a satisfactory solution.
The graph attached shows that the intersection point is at t ≈ 23.548 seconds, confirming that 24 seconds is the best solution rounded to an integer number.