<h2>
Answer:</h2>
The value is:
-4
<h2>
Step-by-step explanation:</h2>
We are asked to find the value of the ceiling function: 
As we know that the ceiling function always occupy the higher value in integers.
i.e. the ceiling function act as follows:
it takes value 0 when -1< x≤0
1 when 0 < x ≤ 1
2 when 1 < x ≤2
and so on.
As we know that:
-4.6 lie between -5 and -4.
Hence, we have:

Answer:
12
Step-by-step explanation:
1st of all we should let the ration of boys to girls be 2x and 3x.
After that we should make the sum between 2x and3×and the sum of 2numbers is equal to 30
i.e.2x+3x=30
Then ,by solving this eqation we get the value of x=6
After that put the value of x in the number of boys
i.e.
2x=2×6=12
Hence ,the number of boys is 12
Answer:
y=2x-4
Step-by-step explanation:
If a line is parallel to another line, the only thing that's different in the equation is the y-intercept. Therefore we can solve for the y-intercept using the point (4,4)...
Note that the slope-intercept equation is y=mx+b where b is the y-intercept and m is the slope. x and y are the x and y coordinate pairs.
y=2x+b
4=2(4)+b
4=8+b
b=-4
Therefore the equation of the line that is parallel to y=2x+4 and passes through (4,4) is...
y=2x-4
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.