Mathematical Expression | MCQs

Explanation

Given x³ = 64:

x = ∛64 = 4 (since 4³ = 64)

The question seems to be asking for the value of x.

The correct answer is 4.

Explanation

To find the missing operator, let's look at the sequence:

4 _ 9 _ 6 _ 18 _ 7 = -16

From the pattern, it seems that the first number is being operated upon with the second number to produce the third number, and then the fourth number is operated upon with the fifth number to produce the sixth number.

4 _ 9 _ 6 _ 18 _ 7 = -16

Given that the sequence results in a negative number, it's likely that subtraction is involved.

Let's check:

4 - 9 = -5

6 - 18 = -12

7 - (-16) = 7 + 16 = 23

So, the sequence becomes:

4 - 9 ÷ 6 - 18 × 7 = -16

Explanation

Let's solve step by step:

Given:

1.5 + [0.7 + (1.4 - 0.5)]

(1.4 - 0.5) = 0.9

0.7 + 0.9 = 1.6

1.5 + 1.6 = 3.1

Explanation

Explanation

To simplify the expression, follow the order of operations:

(-20) + (-8) ÷ (-2) x 3

Divide -8 by -2: -8 ÷ (-2) = 4

Multiply 4 by 3: 4 x 3 = 12

Add -20 and 12: (-20) + 12 = -8

The correct answer is: -8

Explanation

To evaluate the expression, follow the order of operations:

Multiply 3 and 3: 3 * 3 = 9

Add 3 and 9: 3 + 9 = 12

Subtract 3 from 12: 12 - 3 = 9

Add 3 to 9: 9 + 3 = 12

The correct answer is: 12

Explanation

(9 + 43 - 4) = 48

48 ÷ 24 = 2

2 - 2 = 0

So, the correct answer is 0.

Explanation

Simplify the given expression

ND-8-08-2023

Explanation

Use identity: tan θ + sec θ = (sin θ/cos θ) + (1/cos θ) = (sin θ + 1)/cos θ

Therefore, tan θ + sec θ = (1 + sin θ)/cos θ.

Explanation

Given log(x) - 2log(y):

Using logarithmic properties:

log(x) - 2log(y) = log(x) - log(y^2) = log(x/y^2)