Answer:
e) cannot be determined
Step-by-step explanation:
hope this helps!!
The domain is A. All real numbers.
Answer:
<em>The correct option will be: b. One lap around the mall is equal to about 2,425 steps.</em>
Step-by-step explanation:
Here, we will just find <u>the slope of the line representing Debi’s data</u>. For that, we will take any two data from the table in form of point like 
Lets take two points as
and 
<u>Formula for finding the slope</u> is:
, where
and
are two given points.
Here, 
So, plugging these values into the above formula, we will get......

That means, one lap around the mall is equal to about 2,425 steps.
Answer:
- radius: 1.84 in
- height: 3.68 in
Step-by-step explanation:
After you've worked a couple of "optimum cylinder" problems, you find that the cylinder with the least surface area for a given volume has a height that is equal to its diameter. So, the volume equation becomes ...
V = πr²·h = 2πr³ = 39 in³
Then the radius is ...
r = ∛(39/(2π)) in ≈ 1.83779 in ≈ 1.84 in
h = 2r = 3.67557 in ≈ 3.68 in
_____
The total surface area of a cylinder is ...
S = 2πr² + 2πrh
For a given volume, V, this becomes ...
S = 2π(r² +r·(V/(πr²))) = 2πr² +2V/r
The derivative of this with respect to r is ...
S' = 4πr -2V/r²
Setting this to zero and multiplying by r²/2 gives ...
0 = 2πr³ -V
r = ∛(V/(2π)) . . . . . . . . looks a lot like the expression above for r
__
If we substitute the equation for V into the equation just above this last one, we have ...
0 = 2πr³ - πr²·h
Dividing by πr² gives ...
0 = 2r - h
h = 2r . . . . . generic solution for cylinder optimization problems
Answer:
C.1/8
Step-by-step explanation:
given that only 1/2 have meat
hence fraction of pizzas that have meat = 1/2
given that 1/4 of the meat pizzas have sausages
hence fraction of pizzas with sausages
= fraction of pizzas with meat x fraction of meat pizzas with sausages
= 1/2 x 1/4
= 1/8