Answer:
x = 16.5
Step-by-step explanation:
the original equation is: 4(x - 3) = 54
first divide both sides by 4: x - 3 = 13.5
finally add both sides by 3: x = 16.5
Answer: The correct answers are B, D, and F.
Step-by-step explanation: B is correct because 8 x 5 is 40, and 40-5 is less than or equal to 36. C is correct because if you plug in 41/8, the answer is 36. Anything higher than 41/8 is greater than 36. F is correct because 5 is a solution and 5 is less than 41/8. Therefore, the correct answers are B, D, and F.
Answer: 0 < x < 5.6
Step-by-step explanation:
The sides of triangle:
Any two sides added together have to be larger than the third side
So:
2.8 - 2.8 < x < 2.8 + 2.8
0 < x < 5.6
Answer:
15549 yrs old
Step-by-step explanation:
To find the decay constant r we use the formula
t1/2 = 0.693/r
t1/2 is the half-life 5700
5700 = 0.693/r
r = 0.693/5700 = 0.000122 per sec
For the 15% remaining from an initial value of 100%, time t is calculated from
N = Noe^(-rt)
0.15 = 1e^(-0.000122t)
we take natural log of both sides
Ln 0.15 = Ln e^(-0.000122t)
-1.897 = -0.000122t
t = -1.897/-0.000122 = 15549.18 yrs
Approximately 15549 yrs old
