Answer:
Step-by-step explanation:
Yes, it is, because the inputs {2, 3, 4, 5} are all different.
Answer:
Differential equation: , , , .
Solution:
Step-by-step explanation:
Let suppose that rate of change of the amount of Carbon-14 atoms are directly proportional to the current amount of Carbon-14 atoms. That is:
Where:
- Amount of Carbon-14 atoms, dimensionless.
- Proportionality constant, measured in .
must be negative as death rate is constant and birth rate is zero. (). Dimensionally, we can rewritte this constant as following:
Where is the time constant (), measured in years.
We can find the solution of the ordinary differential equation by separating each variable:
Where is the initial amount of atoms of Carbon-14.
Answer:
Constant of Proportionality Equation
The constant of proportionality (k) equals the total price (y) divided by the number of cans (x). The second formula is a common alternate form of the constant of proportionality formula.
Step-by-step explanation:
Find attached the document with both graphs.
The remarks are:
- both graphs have the same shape: open downward, same symetry axis, same, x-coordinate of the vertex.
- the maximum value of -2x^2 is 0
- the maximum value of -2x^2 + 4 is 4
- the graph of y = -2x^2 + 4 is the graph -2x^2 shifted 4 units upward as consecuence of having summed 4 to the function.
Answer: (-3,-3)
Step-by-step explanation:
(3+-9)/2=-3
(1+-7)/2=-3