Explanation

Given f(t) = 1/t and g(t) = t³

To find gof(t), substitute f(t) into g(t):

gof(t) = g(f(t))

= g(1/t)

= (1/t)³

= 1/t³

Explanation

Boron is a metalloid, showing properties between metals and non-metals.

Aluminum is a metal.

Phosphorus is a non-metal.

Explanation

Direction: It is not enough for a detective to see things he must be able to reason quickly and accurately. That is to say, he must see with his mental eye as well as with his physical eye. All detectives talk about deducing things. Sherlock Holmes used to deduce a man's character by an examination of his watch, his walking stick, or his hat. His idea was that every criminal leaves a number of traces of his crimes. It is a detective business to notice them and to interpret them.

1. What is meant by the phrase Mental eye?

Means over sighting

2. Which statement is correct to the writer?

Every criminal leaves a number of traces of crime

Explanation

The square root of any prime number is not a perfect square.

Therefore, √𝑝 is irrational, meaning it cannot be expressed as a fraction of two integers.

Explanation

Waves produced by oscillation of material particles require a medium to travel, called mechanical waves.

Examples include sound waves and water waves.

Explanation

The prefix "kilo-" in the metric system means 1000 times the base unit.

For example, 1 kilometer = 1000 meters, and 1 kilogram = 1000 grams.

Explanation

KE = 1/2mv²

Given m = 0.03 kg, v = 400 m/s

KE = 1/2 × 0.03 × 400 × 400

= 1/2 × 0.03 × 160000

= 1/2 × 4800

= 2400 J

Explanation

Extrapolation is the process of estimating a value outside the range of known data points.

In contrast, interpolation refers to estimating a value within the known range.

Explanation

The turns ratio of a transformer is given by:

n = N₂ / N₁ = V₂ / V₁

Where:

- n is the turns ratio

- N₁ and N₂ are the number of turns in the primary and secondary coils

- V₁ and V₂ are the primary and secondary voltages

Given n = 5:

V₂ / V₁ = 5

This means the secondary voltage is greater than the primary voltage by a factor of 5.

Explanation

Regression is a defense mechanism where a person reverts to earlier behaviors or emotional states in response to stress or anxiety.

Recalling traumatic events like crashes may trigger such a regression to a more childlike state of coping.