Answer:
193 mg
Step-by-step explanation:
Exponential decay formula:
- where Aₜ = mass at time t, A₀ = mass at time 0, r = decay constant (rate), t = time
Our known variables are:
- 1998 to the year 2004 is a total of t = 6 years.
- The sample of radioactive isotope has an initial mass of A₀ = 360 mg at time 0 and a mass of Aₜ = 270 mg at time t.
Let's solve for the decay constant of this sample.
Using our new variables, we can now solve for Aₜ at t = 7 years, since we go from 2004 to 2011.
Our new initial mass is A₀ = 270 mg. We solved for the decay constant, r = 0.04794701.
The expected mass of the sample in the year 2011 would be 193 mg.
The plot should look like this
<span>A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig
</span><span> Cat has 2 crosses
Dog has 3 crosses
Rabbit has 1 cross (you chose the wrong answer; you picked 2 instead of 1)
Guinea Pig has 3 crosses
</span><span>And of course, the line is labeled Number of Pets, and title of graph is Pet Owners.</span>
Answer:
a) 2211.6812281 rad/min
b) 352 rpm
Step-by-step explanation:
A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute
How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ___ revolutions per minute
truck with 24-in.-diameter wheels is traveling at 16 mi/h.
---------
1 mile per hour = 88 feet per minute
16 mi/hr = 1408ft/minute
----------
Each revolution = pi*d feet = 4pi feet
(b) How many revolutions per minute do the wheels make?
rev/min
-------------
Each revolution = pi*d feet = 4pi feet
rpm = 1408 ft/min / 4pi feet
=~ 352 rpm
---------------
(a) Find the angular speed of the wheels in rad/min.
rad/min
-------------
rad/min = rpm*2*pi
= 352 rpm × 2× π
= 2211.6812281 rad/min
