3(5+4b)
3×5=15+3×4=12b=
15+12b
Answer:
6/21, 12/42
Step-by-step explanation:
Mary spends no more than 21 hours a week doing homework. If she spends 2/7 of the time doing her math homework.
The number of hours she spends doing her maths homework is calculated as:
= 2/7 × 21
= 6 hours
The other fractions that could represent the amount of time Mary spends doing her math homework is given as:
6 hours/21 hours = 6/21
Also , that could be represented as:
12/42
Therefore, the other fractions that could represent the amount of time Mary spends doing her math homework is : 6/21 , 12/42
30a^2b^4 GCF = 2
24ab^3 GCF = 3
Answer:
<u>Option C</u>
Step-by-step explanation:
Given 0.5≤ x ≤ 0.7
According to the range of x, we will check which option is true
Let x = 0.6
A. 
If x = 0.6
∴0.6/3 > √0.6 ⇒ 0.2 > 0.77 ⇒ <u>Wrong inequality </u>
B. x³ > 1/x
If x = 0.6
∴ 0.6³ > 1/0.6 ⇒ 0.216 > 1.667 ⇒ <u>Wrong inequality </u>
<u></u>
C. √x > x³
If x = 0.6
∴ √0.6 > 0.6³ ⇒ 0.77 > 0.216 ⇒ <u>True inequality </u>
D. (x/3) > (1/x)
If x = 0.6
∴ 0.6/3 > 1/0.6 ⇒ 0.2 > 1.667 ⇒<u> Wrong inequality </u>
<u>So, The true inequality is option C</u>
The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.

Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.
Let's look at your option:
, so the cotangent is defined here
, so the cotangent is not defined here
, so the cotangent is defined here
, so the cotangent is defined here