Answer:
25,000 grams
Step-by-step explanation:
Density can be found using the following formula:
If we rearrange the formula for , mass, we will multiply both sides of the equation by v.
The mass can be found by multiplying the density by the volume.
Jeff's density is 1000 grams per milliliter and his volume is 25 milliliters.
Substitute the values into the formula.
Multiply. When you multiply, the "mL" or milliliters will cancel out.
Jeff's mass is 25,000 grams.
To check for continuity at the edges of each piece, you need to consider the limit as approaches the edges. For example,
has two pieces, and
, both of which are continuous by themselves on the provided intervals. In order for
to be continuous everywhere, we need to have
By definition of , we have
, and the limits are
The limits match, so is continuous.
For the others: Each of the individual pieces of are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
