Yes, it is continuous to its domain
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Explanation:</h2><h2>
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In order to find the domain of the function we need to get the restrictions:
1. From natural log:

2. From quotient:

Matching these two restrictions the domain is:

So the function is continuous to its domain because is defined for every x-value in the interval
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The population difference within the pair is normal.
The population distribution of mice with and without diabetes are identical.
mRNA population distribution for mice with diabetes is shifted relative to the population distribution for mice without diabetes.
Conclusion,
the two population has same shape , the two samples are independent simple random samples and the two samples are paired , the population means are the same .
Hence, each of the two population distribution is normal.
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1: B
because a triangle angles all have to add up to 180
Considering the given figure, the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other is: In parallelogram EFGH show EK is congruent to KG and F.K is congruent to KH
<h3>How to determine the correct rephrase of the proof about parallelogram diagonals</h3>
The diagonals refer to the lines running between the two opposite ends of the parallelogram
Bisecting means sharing into two equal parts
congruent means a copy that is equal in dimension hence can be used in place of the other image
The diagonals of a parallelogram bisect each other means that the diagonals cut each other to form two equal parts such that each part is congruent to each other.
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Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>