Answer:
- C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)
Step-by-step explanation:
Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.
<u>Volume of cylinder up to water level:</u>
- Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)
<u>Volume of marbles:</u>
- Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)
<u>Volume of water:</u>
- Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)
Correct choice is C
Answer:
2x = 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
The exponential decrease formula that we must use is:
Where A is the amount of thorium as a function of time
is the initial amount and k is the decrease rate
We know that initially there are 50 gr and that you decay 50% every 1.9 years.
So
We solve the equation for k
After 22.8 years the amount of thorium that exists is:
Answer:
I assume that says 
, but that is the case because when we square a number, we can NEVER get a negative number. The smallest square we can get is 0. 1^2 is 1, and no real number squared gives us a negative number.
Step-by-step explanation:
