There are 8 possible ways to flip 3 fair coins, because there is only one way to flip heads on the first 2 and tails on the third it would be 1/8
Answer:
The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.
The function to represent the mass of the sample after t days is
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance is given by:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Hourly rate of change:
Decreases 26% by day. A day has 24 hours. This means that ; We use this to find r.
The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.
Starts out with 810 grams of Element X
This means that
Element X is a radioactive isotope such that its mass decreases by 26% every day.
This means that we use, for this equation, r = 0.26.
The equation is:
The function to represent the mass of the sample after t days is
Answer:
angle P = 130 degrees
arc SF = 50 degrees
Step-by-step explanation:
angle P = 130 degrees because it is alternate adjacent to 130 degrees.
130 = 1/2(210+SF)
130 = 105+1/2SF
1/2SF = 25
arc SF = 50 degrees
Answer:
2 are posable
Step-by-step explanation:
10= girl total
8= boy total
8/3= roufly 2
10/3=roufly 3
so the most you can have is 2
First we'll require the derivative (slope) function.
f'(x) = 6x + 1
Next evaluate the derivative function @ x = -2
f'(-2) = 6(-2) + 1
f'(-2) = -11
Thus the slope of the tangent line @ x = -2 is m = -11
Now we can use either y = mx + b or y - y1 = m(x - x1) to find the tangent equation.
y - 4 = -11(x - (-2))
y - 4 = -11(x + 2)
y - 4 = -11x - 22
y = -11x - 22 + 4
Thus
y = -11x - 18 or 11x + y + 18 = 0 is the equation of the required tangent.