Answer: y = -4x-9
Step-by-step explanation:
parallel slope means it's the same slope as the given equation
y+1=-4(x+2)
y+1 = -4x-8
y = -4x-9
Answer:
B. 15
Step-by-step explanation:
Prime factors of 15 is 3 and 5
sum of 3 and 5 is 8
Answer:
The half-life of the radioactive substance is 135.9 hours.
Step-by-step explanation:
The rate of decay is proportional to the amount of the substance present at time t
This means that the amount of the substance can be modeled by the following differential equation:

Which has the following solution:

In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.
After 6 hours the mass had decreased by 3%.
This means that
. We use this to find r.







So

Determine the half-life of the radioactive substance.
This is t for which Q(t) = 0.5Q(0). So







The half-life of the radioactive substance is 135.9 hours.
One thing to bear in mind with trigonometric expressions is that, the exponent location is next to the function name, instead of the whole expression, though it applies to the whole thing, namely cos²(x), is really [ cos(x) ]², and that matters for using the chain rule.
Answer:
y = x + 1
Step-by-step explanation:
This is in slope intercept form. 1 is the point that you start at: (0, 1)
The slope is 1
y = 1x + 1 or
y = x + 1