Step-by-step explanation:
P(t) = 12,000 (2)^(-t/15)
9,000 = 12,000 (2)^(-t/15)
0.75 = 2^(-t/15)
ln(0.75) = ln(2^(-t/15))
ln(0.75) = (-t/15) ln(2)
-15 ln(0.75) / ln(2) = t
t = 6.23
Answer:
5/12
Step-by-step explanation:
Answer:
(2 x - 3)^2 thus it's True
Step-by-step explanation:
Factor the following:
4 x^2 - 12 x + 9
Factor the quadratic 4 x^2 - 12 x + 9. The coefficient of x^2 is 4 and the constant term is 9. The product of 4 and 9 is 36. The factors of 36 which sum to -12 are -6 and -6. So 4 x^2 - 12 x + 9 = 4 x^2 - 6 x - 6 x + 9 = 2 x (2 x - 3) - 3 (2 x - 3):
2 x (2 x - 3) - 3 (2 x - 3)
Factor 2 x - 3 from 2 x (2 x - 3) - 3 (2 x - 3):
(2 x - 3) (2 x - 3)
(2 x - 3) (2 x - 3) = (2 x - 3)^2:
Answer: (2 x - 3)^2
4 because 6(4) = 24 and 24-3=21
Circumference = 360 degrees
<span>Circumference = 2π radians (comes from 2*pi*radius) </span>
<span>Therefore </span>
<span>360 deg. = 2*π radians </span>
<span>180 deg. = π radians </span>
<span>1 deg. = (π/180) radians </span>
<span>75 deg. = 75(π/180) radians </span>
<span>75 deg. = 75π / 180 radians </span>
<span>don't bother to try and simplify π (it is an irrational number) </span>
<span>however you can simplify 75/180 </span>
<span>both are divisible by 5 </span>
<span>75π/180 = 15π/36 </span>
<span>both are divisible by 3 </span>
<span>75 deg. = 5π/12 radians </span>
<span>We normally don't bother to go further, unless you actually need it as a decimal fraction (in which case, you will have an approximation) </span>
<span>75 deg. ≈ 1.308997 radians</span>
