Answer:
Step-by-step explanation:
So we would have to multiply the "2x - 8" by 5 each resulting in 10x - 40 + 15. Then we subtract which results in 10x - 25 = - 15. We add 25 to 25 and 15 resulting in 10x = 10. We divide each by 10 which results in x = 1.
You get (2x+3)(4x^2-6x+9) when you factor 8x^3+27=0. You just divide by 3 to simplify it.
Angle 3 = 180° - 70°
Angle 3 = 110°
Angle 2 = 180° - (110° + 36°)
Angle 2 = 180° - 146°
Angle 2 = 34°
Angle 4 = 180° - 70°
Angle 4 = 110°
Angle 5 = 180° - (110° + 62°)
Angle 5 = 180° - 172°
Angle 5 = 8°
I hope this helps.
Answer:
The half-life of the radioactive substance is 135.9 hours.
Step-by-step explanation:
The rate of decay is proportional to the amount of the substance present at time t
This means that the amount of the substance can be modeled by the following differential equation:
Which has the following solution:
In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.
After 6 hours the mass had decreased by 3%.
This means that . We use this to find r.
So
Determine the half-life of the radioactive substance.
This is t for which Q(t) = 0.5Q(0). So
The half-life of the radioactive substance is 135.9 hours.