Let
x--------> the number
we know that
11²=121
12²=144
then
x² must be greater than 121 and less than 144
case a) <span>√115
if x=</span><span>√115
then
x</span>²=115-------> is not greater than 121
case b) <span>√121
</span>if x=√121
then
x²=121-------> is not greater than 121
case c) <span>√136
</span>if x=√136
then
x²=136-------> is greater than 121 and is less than 144------> is ok
case d) <span>√150
</span>if x=√150
then
x²=150------> is not less than 144
therefore
the answer is
√136
Answer:
Below in bold.
Step-by-step explanation:
Amount originally in the cup = amount she drank + amount remaining
= 17 * 4.5 + 148.5
= 76.5 + 148.5
= 225 milliliters.
The time she takes to drink the 148.5 mL = 148.5 / 4.5
= 33 seconds.
So time to drink it all = 17 +33 = 50 seconds.
Business leaders in the late nineteenth century utilized vertical integration by maintaining control of production and distribution of their products.
Answer: Option C
<u>Explanation:
</u>
Vertical integration is a competitive strategy that gives the company full control over one or more stages of product production or distribution. Rockefeller tirelessly tried to take full control of business 'oil refinery'. While other business people were flooding the area in search of quick fortune, Rockefeller was thinking of destroying his rivals and creating a real monopoly in the refining industry.
Looking for even more control, Rockefeller saw the benefits of organizing the transportation to his products. Then, he began to develop his business through vertical integration, in which the company analyses all aspects of the product life cycle, from raw material extraction, through the production process, to the final delivery of the product.
Other industrialists quickly followed, including Gustavus Swift, who at the end of the 19th century used vertical integration to dominate the American meat packaging industry.
Answer:

Step-by-step explanation:
We can rewrite the equation as

Notice that we have
in both the numerator and the denominator, so it looks like we can divide it out. However, what if
is
? Then we would have
, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for
, but this one is not).
A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at
. In the simplified version of the function, if we plug in
, we get

So the point
is our only point of discontinuity.
It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at
(since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of 