Let's rewrite the equation as

This should be enough to convince you that the equation has no solutions, no matter which value for k you choose. In fact, the left hand side of the equation is an absolute value, which by definition is always positive, or zero in the worst case.
The equality asks for this quantity to equal -3, a negative number.
A non-negative quantity can never equal a stricktly negative quantity, so the equation has no solutions.
Answer:

Step-by-step explanation:
From the given question,
x 
Applying the required principle of indices to solve the question, we have;
x
=
x 
=
x 
= 
= 
Thus, the final answer is
.
Step-by-step explanation:
Length of base = 20cm
We will take the base as "b"
Area of a triangle = 1/2 x base x height
So the total area = 360 square feet
360 square feet = 1/2 x b x 36
360 = 36b /2
360 = 18b
b = 360/18
b = 20
So, Length of base = 20 cm
Let's check:
1/2 x 20 x 36 = 360
Which is the correct area!
Hope this helps!
Answer:
51
Step-by-step explanation:
Given

Required
Where will the mean approach if sample size increase
Using central limit theorem, we have:


This means that; as n approaches infinity, the mean is almost expected to the
i.e. expected to remain unchanged.
Hence, the mean value will approach 51.
The answer is 9.37 when it is rounded up.
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