General Science and Mathematics Problems

The rate at which radioactivity decays over time; the time it takes for half of the radioactive material to decay.

The amount of radioactivity remaining after a certain amount of time. It is calculated using the initial radioactivity, the decay constant, and the elapsed time.

The rate at which radioactive material decays, represented by the symbol 'k'. It determines how quickly the material decays.

The intensity of radiation is inversely proportional to the square of the distance from the source. As you move further away from the radiation source, the intensity decreases rapidly.

The flow rate of air or gas in a duct, measured in cubic feet per minute (cfm). It is calculated by multiplying the cross-sectional area of the duct by the velocity of the air.

The pressure exerted by the air or gas moving through a duct, measured in inches of water gauge (wg). It is often used to calculate duct velocity and airflow.

The total pressure that exists in a duct, measured in inches of water gauge (wg). It is the sum of static pressure and velocity pressure.

The velocity at which air enters a fume hood, calculated at a specific distance from its face.

The distance from the front of the hood to a point where the Capture Velocity is measured.

The area of the hood's opening, measured in square feet.

A measure of heat stress that considers the temperature and humidity.

The sound power level, measured in decibels (dB).

The sound pressure level, measured in decibels (dB), which represents the intensity of sound at a specific point.

The total sound pressure level from multiple noise sources, calculated by adding the individual levels in decibels.

A rule that states that every time the distance from a noise source doubles, the noise level decreases by 6 decibels.

The time required for half of the radioactive material to decay, measured in units of time like years, days, or seconds.

The amount of radiation that remains after a certain amount of time, usually expressed in units like curies (Ci) or microcuries (µCi).

A measure of how quickly radioactive material decays, represented by a constant 'k'.

The amount of radiation that can be reduced by half when passing through a specific thickness of a material like concrete or lead.

A function that calculates the average (mean), spread (standard deviation), and relationship (correlation) of a set of data.

A function that changes the sign of a number or exponent. For example, +5 becomes -5, and -3 becomes +3.

A function that raises any number to any power, including fractional and negative exponents.

A way of representing very large or very small numbers using powers of 10. This makes it easier to work with extremely large or small values.

Functions that calculate the number of ways to select items from a set, considering order (permutations) or not (combinations), and the factorial of a number.

A calculation that involves subtracting a percentage of a given value.

Finding the product of two values.

A function used to calculate the circumference of a circle with a specific radius.

The value of a number raised to a specific power.

Finding the result of a division operation.

The ratio of the calculated exposure time (C) to the authorized exposure time (T).

The force required to slide an object across a surface. It depends on the coefficient of friction and the normal force.

The component of weight that acts perpendicular to a ramp. It is calculated using the cosine function.

The force required to move an object with a certain mass at a specific acceleration. It is calculated using Newton's second law of motion.

The principle that states that the product of the force and the perpendicular distance from the pivot point is constant. It is used to calculate the force required to tip an object.

The amount of force exerted on an object due to gravity. It is calculated by multiplying the object's mass by the acceleration due to gravity.

The velocity of an object after traveling a certain distance with a specific acceleration.

The velocity of an object at the beginning of its motion.

The formula used to calculate the velocity of a vehicle based on the length of its skid marks and the coefficient of friction.