Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0
The correct answer is 19,200. Hope this helps. :)
Answer:
$147
Step-by-step explanation:
so to find 20% I usually divide the original cost by 100 to get 1% then multiply that number by 20.
in this case 122.50/100= 1.225, 1.225x20 = 24.5
24.5 + 122.50 = 147
Written out numerically, it is 4x4x4. To work this out you multiply 4x4= 16 and then you have one more 4 to multiply by, so you multiply 16x4=64
Given:
Radius of the cylinder = 5 in
Height of the cylinder = 30 in.
To find:
The surface area of the cylinder.
Solution:
The surface area of the cylinder is:
Where, r is the radius and h is the height of the cylinder.
Putting 
in the above formula, we get
Therefore, the surface area of the cylinder is 1099 square inches.
