I believe it's the last one, but it's a matrix not a vector as the question asks
Answer:

Step-by-step explanation:
3 ln(p + q) − 2 ln(q) − 7 ln(p)
=ln(p+q)^3- ln(q)^2-ln(p)^7
= ln(p+q)^3-{ln(q)^2+ln(p)^7}
=ln(p+q)^3-ln(q)^2*(p)^7
=ln{ (p+q)^3÷(q)^2*(p)^7}
=
Consider the given number is
in question as well as in options.
Given:
is considered as an irrational number.
To find:
The reason for given statement.
Solution:
We have,
When evaluated,
results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which is considered an irrational number.
Therefore, the correct option is C.
Answer:
Absolute error is 0.05 cm.
Step-by-step explanation:
Given:
Actual length = 12.25 cm
Measured length = 12.2 cm
We need to find Absolute error.
Solution:
Now we can say that;
Absolute error is equal to measured length minus Actual actual.
framing in equation form we get;
Absolute error = 
Hence Absolute error is 0.05 cm.
Answer: x = 5
Step-by-step explanation:
1 = -4 + x
We have to isolate x, and remember, what we do to one side we do to the other.
1 + 4 = -4 + 4 + x
5 = x
Check:
-4 + 5 = 1
1=1