Answer:
The tank must remain intact for 1183 years.
Step-by-step explanation:
Exponential equation for decay:
The amount of a substance after t years is given by:
In which A(0) is the initial amount and r is the decay rate.
A storage tank contains a liquid radioactive element with a half-life of 96 years.
This means that 
, and we use this to find r.
So
It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
This is t for which 
. So
The tank must remain intact for 1183 years.
use FOIL (first, outside, inside last)
4a * 3a = 12a²
4a * -8 = -32a
-6 * 3a = -18a
-6 * -8 = 48
-12a² - 32a - 18a + 48
combine like-terms: -12a² -50a + 48
Answer: 29.5 points
Why: the missed 14 shots so 14 x 3/4 is 10.5
They made 16 shots so 16 x 2.5 is 40
40-10.5=29.5
20/36 reduced is 5/9. hope this helped! :)
A trig identity is <span>asinucosu=<span>a/2</span>sin(2u)</span>So you can write your equation as<span>y=sin(x)cos(x)=<span>1/2</span>sin(2x)</span>Use the crain rule here<span><span>y′</span>=<span>d/<span>dx</span></span><span>1/2</span>sin(2x)=<span>1/2</span>cos(2x)<span>d/<span>dx</span></span>2x=cos(2x)</span>The curve will have horizontal tangents when y' = 0.<span><span>y′</span>=0=cos(2x)</span>On the interval [-pi, pi], solution to that is<span><span>x=±<span>π4</span>,±<span><span>3π</span>4</span></span></span>
