Explanation

Copper has higher conductivity, strength, and corrosion resistance, leading to fewer failures and repairs.

Its durability and long lifespan reduce replacement and maintenance costs over time.

Explanation

Ultrasound imaging uses high-frequency sound waves to create images of internal body structures.

These waves reflect off tissues and organs, and the echoes are used to form detailed images.

Explanation

Given that x + 1 is a factor of the polynomial x³ + ax² - x + 2, we know that (-1) is a root of the polynomial.

Let's plug in x = -1 into the polynomial:

(-1)³ + a(-1)² - (-1) + 2 = 0

-1 + a + 1 + 2 = 0

a + 2 = 0

Subtract 2 from both sides:

a = -2

Explanation

The given sequence is:

-31, -21, -11, -1, 9

Let's find the common difference (d):

d = (-21) - (-31) = 10

d = (-11) - (-21) = 10

d = (-1) - (-11) = 10

d = 9 - (-1) = 10

The sequence is an arithmetic progression (AP) with a common difference of 10.

The nth term of an AP is given by:

an = a + (n - 1)d

where a is the first term (-31), n is the term number (34), and d is the common difference (10).

a34 = -31 + (34 - 1) * 10

= -31 + 33 * 10

= -31 + 330

= 299

Explanation

The suffix “-tion” is commonly used to form nouns from verbs.

Example:

Inform → Information

Create → Creation

So, "-tion" forms nouns.

Explanation

The word "Bus" contains the short vowel sound /ʌ/ as in “cup”.

The other words have long vowel sounds:

Shoe (/uː/),

Car (/ɑː/),

Read (can be /riːd/ – long vowel).

Explanation

Complementary angles are two angles whose sum is 90 degrees.

For example, 40° and 50° are complementary because 40° + 50° = 90°.

Explanation

Logic is the branch of philosophy that deals with the principles of valid reasoning and argument.

It helps in distinguishing correct from incorrect reasoning.

Explanation

الطاف حسین حالی نے اپنی مشہور نظم "مد و جزر اسلام" (مسدس حالی) سر سید احمد خان کی فرمائش پر لکھی۔

اس نظم کا مقصد مسلمانوں میں بیداری، اصلاح اور جذبہ ایمانی کو اجاگر کرنا تھا۔

Explanation

Let's denote the numbers as 8x and 3x.

Given: 8x - 3x = 20

5x = 20

x = 4

Step 1: Find the numbers

First number = 8x = 8 * 4 = 32

Second number = 3x = 3 * 4 = 12

Step 2: Find the sum

Sum = 32 + 12 = 44