Answer:
t = -24*log(2/3)
Step-by-step explanation:
The expression is:
V = 22,500*10^(-t/12)
Replacing with V = 10,000 and isolating t, we get:
10,000 = 22,500*10^(-t/12)
10,000/22,500 = 10^(-t/12)
4/9 = 10^(-t/12)
(2/3)² = 10^(-t/12)
2*log(2/3) = -t/12
-12*2*log(2/3) = t
t = -24*log(2/3)
The answer to this question is D.
Area of a circle is π*r²
sub what we're given
49π= πr²
49π= π*r²
r²= 49π/π
r²=49
r=7
The diameter is twice the radius therefore the diameter is 14 units
How to do the vertex is using the formula -b/2a
your a=-9 and b is -18 but it going to become +18 because you are multiplying the -(-18) which there a 1 in front the neg. you going to multiply the -9 by 2 and do 18/18 so your x= -1. You got your x, you going to put in the equation as y=-9(-1)^2-18(-1)-1 then you got your y... hope this is helpful :)