Answer:
-5≤x <1
Step-by-step explanation:
sqrt( x+5) / sqrt(1-x)
The numerator must be greater than zero since it is a square root
sqrt(x+5) ≥0
Square each side
x+5≥0
x≥-5
The denominator must be greater than zero (the denominator cannot be zero)
sqrt(1-x)> 0
Square each side
1-x > 0
1>x
Putting these together
-5≤x <1
Answer:
<em>The distance between the points (1, 7) and (10, 1) is 10.82 units</em>
Step-by-step explanation:
<u>Distance between two points
</u>
The distance between points A(x,y) B(w,z) can be calculated with the formula:
We are given the points (1,7) and (10,1), let's use their values and compute the required distance:
The distance between the points (1, 7) and (10, 1) is 10.82 units
The value of the 3 in 6300 os 300 and it is ten times as many as the 3 in 530
This is a statistics problem on permutation and combination. To differentiate this, permutation involves on the arrangement in which order doesn't matter. For combination, order matters.
For example, if you arrange A, B and C, for permutation it could be AB, BA, CA, AC, BC and CB. But for combination, it would just be AB, AC and BC.
So, in this problem where he is asked to arrange 8 jars in which order doesn't matter. It is permutation. You can solve this just by calculator. The formula would be nPr, where n is the total number of items while r is the number of items to be sorted. Thus,
nPr = 10P8 = 1, 814,400
Thus, the answer is B.
Answer:
457.95
Step-by-step explanation:
430 + 6.5% (27.95) = 457.95
