Answer:
6.1098 miles.
Step-by-step explanation:
To find the answer to this question, multiply the miles per hour by the amount of hours they ran.
1.797 (hours they ran yesterday) * 3.4 (miles per hour)
Answer:
Step-by-step explanation:
- is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data.
- the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
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 
Answer:
They have 83 dogs and 50 birds.
There are 133 animals in total in the shelter.
Step-by-step explanation:
So let's call the dogs D and the birds B.
D = 25% + B
What ever the amount of animals, the total for D must always be 25% more than B.
To get 100% of the animals, B must equal 37.5% and D must equal 62.5%.
The way I worked this out was:
100% - 25%= 75%
75% divided by 2= 37.5%
37.5% + 25%= 62.5%
And just to check
37.5% + 62.5% = 100%
So to work out 100%:
37.5% = 50
divide both by 37.5 to get 1%
1% = 1.333333
time both by 62.5 to get 62.5%
62.5% = 83.333313
We'll round that answer because I'm pretty sure they don't have a .333313th of a dog.
So D = 62.5% = 83
They have 83 dogs and 50 birds.
Phew! That was the hard part. Now onto something wayyy easier.
To get the total number of animals in the shelter we just do 83 + 50, which is 133.
There are 133 animals in total in the shelter.
Hope this helps you :)