Answer:

Step-by-step explanation:

Answer:
27.76 grams will be present in 500 years
Step-by-step explanation:
The given formula is
, where A is the value of the substance in t years, and
is the initial value
∵ The half-life is a substance is 375 years
- Substitute A by
and t by 375 to find the value of k
∴ 
- Divide both sides by
∴ 
- Insert ㏑ in both sides
∴ ㏑(
) = ㏑ (
)
- Remember ㏑ (
) = n
∵ ㏑ (
) = 375 k
∴ ㏑(
) = 375 k
- Divide both sides by 375
∴ k ≈ -0.00185
∴ 
∵ 70 grams is present now
- That means the initial value is 70 grams
∴
= 70
∵ The time is 500 years
∴ t = 500
- Substitute the values of
and t in the formula
∵ 
∴ A = 27.76
∴ 27.76 grams will be present in 500 years
It's 3x+2 because 3 ÷2 is 6 so it's 3x+2
Note: Options are missing. So, the general solution of the given inequality is shown below.
Given:
The inequality is:

To find:
The point lies in the solution set of the given inequality.
Solution:
We have,

It can be written as:




All the points that satisfy the above inequality are in the solution set of the given inequality.
For example (0,0).


This statement is true. It means (0,0) is in the solution set.
For example (0,3).


This statement is false. It means (0,3) is not in the solution set.
The graph of the inequality
is shown below.
All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.
A bag has 5 red marbles, 6 blue marbles and 4 black marbles
so total no. of marbles = 5 + 6 + 4 = 15
now probability of picking a black marble = 4/15
after replacement again probability of picking black marble is 4/15
it is given that black marble is picked two times
so probability of picking black marble two times or picking , replacing , and then picking is 4/15*4/15 = 16/225