Question

Suppose the function marks the distance in the movement of a light beam from the top of a police car across a wall where t is the time in seconds and y is the distance in feet from a point on the wall directly across from the police car. How many seconds will the beam of light sweep across the wall?

1) every 4 seconds
2) every 10 seconds
3) every 6 seconds
4) every 8 seconds

Answer 1

The symbol (rho) is commonly used in mathematical notation to represent density in various scientific and mathematical contexts.

Step-by-step explanation:

The symbol (rho) is a Greek letter known as "rho," and it is widely employed in mathematical and scientific notation to denote density. In physics and engineering, density refers to the mass per unit volume of a substance. The mathematical expression for density (rho) is given by the formula
`\(\rho = (m)/(V)\),` where m is the mass of the substance, and V is its volume.

In mathematical equations, rho is often utilized to represent other variables or parameters depending on the context. For instance, in fluid dynamics, rho may signify the density of a fluid, while in statistical mathematics, it could represent the correlation coefficient. Its versatility makes it a valuable symbol in various branches of science and mathematics.

In conclusion, the symbol (rho) holds significant importance as a representation of density and is a versatile notation employed in a broad spectrum of scientific and mathematical disciplines. Its usage can be deciphered based on the specific context in which it appears, showcasing its adaptability and applicability across different domains of knowledge.

Answer 2

The seconds will the beam of light sweep across the wall is (2) every 10 seconds.

Step-by-step explanation:

The function describing the movement of the light beam across the wall suggests that it completes one sweep every 10 seconds. This conclusion is drawn from the time variable, where t represents seconds, and the function's periodic behavior aligns with a 10-second interval.

Understanding the periodicity of the function is crucial. The pattern repeats at regular intervals, and in this case, it takes 10 seconds for the light beam to sweep across the wall entirely. By selecting option 2) every 10 seconds, we align with the function's behavior and its time-related characteristics.

Option 2 is correct.