Answer:
The correct option is D.
Step-by-step explanation:
The slope of a line is the change in y with respect to x.
If the slope of a line is undefined it means it is a vertical line and a vertical line can not passes through three quadrants. So, option A is incorrect.
If the slope of a line is 0 it means it is a horizontal line and a horizontal line can not passes through three quadrants. So, option B is incorrect.
If the slope of a line is positive it means the value of y increases as x increases.
Since it is an increasing line, therefore after a certain period both x and y will positive. It means the line will passes through first quadrant. So, option C is incorrect.
If the slope of a line is negative it means the value of y decreases as x increases. It can passes through each of Quadrants II, III, and IV.
Therefore the correct option is D.
Given the equation:
You know that the radioactive substance has this half-life (in years)
And:
Therefore, you can rewrite the equation in this form in order to find "k":
Solve for "k":
Answer:
An = A0 + 100 * n - (An-1) * 0.10
Step-by-step explanation:
Tenemos una regla recursiva para una secuencia es una fórmula que nos dice cómo avanzar de un término a otro en una secuencia. Por lo tanto debemos buscar a An.
Hay un valor inicial que es 5000, una ganancia y una perdida de clientes, que podemos representar así:
An = 5000 + Ganancia - Perdida
Inicial = A0 = 5000
Ganancia = 100, pero cómo sucede cada año, sería: 100 * n
Perdida = 10% de los miembros actuales, si al principio son 5000 por lo tanto A0 * 0.10, pero en este primer caso es que es A0, pero en general serían An-1
reemplazando:
An = A0 + 100 * n - (An-1) * 0.10
Answer:
798.5 is your answer
Step-by-step explanation:
Stay safe stay healthy and blessed.
Happy valentine's day.
Have a great day.
Thank you
Answer:
The answer is below
Step-by-step explanation:
Given the function as:
f(x)=5sin(πx / 15)+180,
a) The angular frequency (ω) = 2π * frequency
but ω = π/15, hence:
π/15 = 2π * frequency
frequency = (π/15)/2π
frequency = 1/30 hertz
Period (T) = 1/frequency = 1/(1/30) = 30 seconds
b) The period is 30 seconds. This means that it reaches the maximum temperature every 30 seconds.
In one hour (3600 s), the number of times the function reaches a maximum temperature = 3600 s / 30 s = 120
