Answer:
Part 1 : 
Part 2 : Half life is 84 minutes ( approx )
Step-by-step explanation:
Part 1 : Suppose the function that shows the amount( in grams ) of the substance after t minutes,
If t = 0 min, A = 250 grams,
If t = 250, A = 32 grams,
Taking ln both sides,
Hence, the equation that shows this situation,
Part 2 : If A = 250/2 = 125,
Taking ln both sides,
Therefore, the half life of the substance would be 84 minutes.
Answer: 
Step-by-step explanation:
Answer: fourth option
Explanation:1) the pair x = 3 f(x) = 0, leads you to probe this:
f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0
=> A [4^2] = - C
A[16] = - C
if A = 1/4
16 / 4 = 4 => C = - 4
That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4
2) Now you verify the images for that function for all the x-values of the table:
x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check
x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check
x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.
Therefore, you have proved that the answer is the fourth option.
Answer:
The Prime Factorization is:
3 x 3 x 3 x 31
In Exponential Form:
33 x 311
Format:
3, 3, 3, 31
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Sum of the angles of triangle equals 180</u>
- x + 12 + 2x - 29 + x + 5 = 180
<u>Simplified</u>
