Answer:
the first one is correct
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
<u>Formula:</u> 2 (a + b)
2 (5.5x - 1.5 + 6x + 2.5) = 94
11x − 3 + 12x + 5 = 94
23x + 2 = 94
23x = 92
x = 4
Answer:
Ok, an exponential decay is written as:
P(t) = A*(1 - r)^t
Where A is the initial population, r is the rate of decay and t is the unit of time.
We know that the initial population is 15g
then:
P(t) = 15g*(1 - r)^t
And at t = 3hs, the populations is 5g
P(5h) = 5g = 15g*(1 - r)^5
5/15 = 1/3 = (1 - r)^5
(1/3)^(1/5) = (1 - r) = 0.8
Now, the half life time of the sustance is t = x, such that the population reduces to it's half:
P(x) = A/2 = 15g/2 = 7.5g
Then:
7.5g = 15g*0.8^x
7.5g/15g = 1/2 = 0.8^x
Now, remember that if we have:
a = b^x
then
x = ln(a)/ln(b)
ln(1/2)/ln(0.8) = x = 3,11 hours
Answer:
Step-by-step explanation:
Given
Required
Solve
Express 3 as a fraction
Take LCM
Collect Like Terms
Simplify like terms
Hence:
Y = mx + c, m = slope , y intercept = c.
y = (1/2)x - 3
y intercept, c = -3
