Answer:
The peanuts are more expensive by 12 dollars because it is only 2 pounds more
Step-by-step explanation:
Carlton is incorrect because if you multiply 3 miles by the 5 weekdays, you get 15miles. If you add that to the 10miles Carlton runs over Saturday and Sunday, you end up with 25miles. Then, you multiply 25miles by 41weeks and get 1,025miles over the course of the 41 weeks.
De l'Hospital rule applies to undetermined forms like
If we evaluate your limit directly, we have
which is neither of the two forms covered by the theorem.
So, in order to apply it, we need to write the limit as follows: we start with
Using the identity , we can rewrite the function as
Using the rule , we have
Since the exponential function is continuous, we have
In other words, we can focus on the exponent alone to solve the limit. So, we're focusing on
Which we can rewrite as
Now the limit comes in the form 0/0, so we can apply the theorem: we derive both numerator and denominator to get
So, the limit of the exponent is -6, which implies that the whole expression tends to
Answer:
Last Graph (4th one)
Step-by-step explanation:
The equation given is
Since we want increase of 25%, the value of b would be 1.25, so we have:
The graph should be increasing so we can immediately eliminate 2nd and 3rd graphs since they are clearly decreasing. We now have to choose between 1st graph and 4th graph.
<u>1st graph:</u>
Let's take the point (-20,30)
<u>2nd graph:</u>
Let's take the point (-20,4.5)
hence, this makes sense. So the correct graph is 4th one.
Answer:
Figure d)
Monopars are figures that have just one set of parallel lines.
Step-by-step explanation:
It looks like all the figures in group 1 have one set of parallel lines. In group 2, they either have 0 or 2. In group 3, only d has just one set of parallel lines.
So monopars are figures that have just one set of parallel lines.