2 = r(4)
To find r, you've gotta divide it out.
2/4 = r/4
1/2 or 0.5 = r
c=(0.5)t
Answer:
(-b/2a, b^2/(4*a) - b^2/2a + c)
Step-by-step explanation:
For a general parabola:
y = a*x^2 + b*x + c
We can write the vertex as:
(h, k)
The x-value of the vertex is the value of the axis of symmetry.
Then we have:
h = x = -b/2a
Now we need to find the y-value of the vertex.
To do that, we just replace the variable "x" by the x-value of the vertex in our equation, so we get:
k = y = a*(-b/2a)^2 + b*(-b/2a) + c
k = b^2/(4*a) - b^2/2a + c
Then the coordinates of the vertex are:
(h, k) = (-b/2a, b^2/(4*a) - b^2/2a + c)
Answer:
1.05315
Step-by-step explanation:
Simply multiply the two numbers to receive your answer
Answer:
16 square cm
Step-by-step explanation:
2 * 8 (8 per one cm) is 16
Answer:
The percentage rate of decay per year is of 3.25%.
The function showing the mass of the sample remaining after t is 
Step-by-step explanation:
Equation for decay of substance:
The equation that models the amount of a decaying substance after t years is given by:
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Every 21 years, its mass decreases by half.
This means that 
. We use this to find r, the percentage rate of decay per year.
![\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B21%5D%7B%281-r%29%5E%7B21%7D%7D%20%3D%20%5Csqrt%5B21%5D%7B0.5%7D)
The percentage rate of decay per year is of 3.25%.
Given that the initial mass of a sample of Element X is 80 grams.
This means that 
The equation is:
The function showing the mass of the sample remaining after t is
