Answer: 693 years
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
k = rate constant
t = time taken for decomposition = 1
= Initial amount of the reactant
= amount of the reactant left =
for half life : 
Putting in the values , we get
Thus half life of this isotope, to the nearest year is 693.
Answer:
(x, y) ≈ (2.848, -19.241)
Step-by-step explanation:
I find it much easier to work with the problem statement when math expressions are written using numbers and symbols. We assume you have ...
-4x +15y = -300
20x +4y = -20
Dividing the second equation by 4 and subtracting the x-term gives ...
y = -5-5x
Substituting that into the first equation, we get ...
-4x +15(-5-5x) = -300
-79x -75 = -300
x = -225/-79 = 2 67/79 ≈ 2.8481
Substituting this into the equation for y gives ...
y = -5(x +1) = -5(3 67/79) = -19 19/79 ≈ -19.2405
The approximate solution is ...
(x, y) = (2.8481, -19.2405)
Answer: Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).
Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).
Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes
Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes
After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.
So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.
If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.
Step-by-step explanation:
Answer:
x = 25°
Step-by-step explanation:
3x + 2x + x + 30° = 180°
6x + 30° = 180°
6x = 150°
x =25°
=> 3x = 25 * 3 = 75°
=> 2x = 25 * 2 = 50°
=> x + 30° = 25° + 30° = 55°
I think it’s C. Sorry if I’m incorrect
