Explanation

Dogs can hear a much wider range of frequencies than humans, typically from 50 Hz to 46,000 Hz.

Humans can generally hear sounds from 20 Hz to 20,000 Hz.

Explanation

Phytoplankton are microscopic plants that perform photosynthesis and form the base of the marine food chain.

They provide energy for small marine animals, which are then eaten by larger predators.

Explanation

A tissue is a group of similar cells working together to perform a specific function in an organism.

Examples include muscle tissue, nerve tissue, and plant vascular tissues like xylem and phloem.

Explanation

Lord Mayo, the Viceroy of India from 1869 to 1872.

He established a college for the children of princely rulers in Ajmer.

This college was known as the Mayo College.

It's purpose was to provide education to the heirs of the princely states.

Explanation

In the word "subtle," the "b" is silent and not pronounced.

The pronunciation of "subtle" sounds like "sut-l," with the "b" remaining unspoken.

Explanation

In the word "sandwich," the "d" is silent and not pronounced.

The pronunciation of "sandwich" sounds like "san-wich," with the "d" remaining unspoken.

Explanation

"Will" is used to express future predictions or certainty, like weather forecasts.

So, "There will be heavy snow tomorrow" correctly predicts future weather.

Explanation

Given:

HCF = x - 3

LCM = x³ - 9x² + 26x - 24

First polynomial = x² - 5x + 6 (corrected to x² - 5x - 6 doesn't seem right with given HCF, assuming it's x² - 5x + 6 for calculation purposes)

Product of two polynomials = Product of HCF and LCM

Let's denote the second polynomial as P(x).

(x² - 5x + 6) × P(x) = (x - 3) × (x³ - 9x² + 26x - 24)

Factoring LCM:

x³ - 9x² + 26x - 24 = (x - 3)(x² - 6x + 8)

Now, factoring the first polynomial:

x² - 5x + 6 = (x - 3)(x - 2)

(x - 3)(x - 2) × P(x) = (x - 3) × (x - 3)(x² - 6x + 8)

P(x) = (x - 3)(x² - 6x + 8) / (x - 2)

= (x - 3)(x - 2)(x - 4) / (x - 2)

= (x - 3)(x - 4)

= x² - 7x + 12

Explanation

Let's denote the first number as x and the second number as y.

Given equations:

1. 2x + 3y = 61

2. 4x - 5y = 45

We can solve these equations using substitution or elimination. Let's use elimination.

Multiplying equation 1 by 2:

4x + 6y = 122

Now subtracting equation 2 from this:

(4x + 6y) - (4x - 5y) = 122 - 45

11y = 77

y = 7

Explanation

Nested loops are loops placed inside another loop.

It allowing complex iteration through multi-dimensional data structures.

They are commonly used for tasks like processing matrices or multi-level data.