By definition of absolute value,
Differentiating once gives
As
from either side, we find that
, so really
Differentiating again, we find
but this time, the limit does not exist as
from either side, so
is undefined. However, we see that
when
, and
when
, and we know that
is continuous at
. This means the concavity must change at
, so (0, 0) is the inflection point. (The takeaway is that inflection points *can* occur when the second derivative is undefined, but not always.)
Volume of a rectangular prism: length times width times height:
3/8 * 1/8 *5/8= 15/512 cubic cm
the volume of a small cubic wooden block: 1/8 *1/8 *1/8=1/512
How many small cubic blocks: the volume of the solid wooden block divided by the volume of the small cubic block:
15/512 ÷ 1/512 =15
Answer:then the number of grams of Y that must form is 3
Step-by-step explanation:
Suppose an unknown compound XY has an X-to-Y mass ratio of 4.0, it means that
X/Y = 4
Crossmultiplying,
X = 4Y
If decomposition of compound XY gives 12.0 grams of X, then the number of grams of Y that must form would be
X = 4Y
Substituting X = 12 into the equation, it becomes
12 = 4Y
Y = 12/4 = 3 grams
Answer:
3
Step-by-step explanation:
first two terms cancel eachother out!
Answer:
7.5 Quarts
Step-by-step explanation:
D'Naisa mixed the following:
- 1 gallon of orange paint
- 2 quarts of yellow paint
- 3 pints of red paint.
We are to determine in total, the number of quarts of paint that she mixed. this is done by converting each of the volume to quart.
<u>1 gallon of orange paint</u>
- 1 gallon = 4 Quarts
- Orange Paint=4 Quarts
<u>3 pints of red paint.</u>
- 1 pint =0.5 quart
- 3 Pints =3 X 0.5 Quart
- =1.5 Quart of red paint
Therefore,
Total Volume of Paint Mixed in quart= Volume of Orange+Yellow+Red
=4+2+1.5
=7.5 Quarts
