Answer:
Step-by-step explanation:
Let be the expression of the line, where
and
are the independent and dependent variables, respectively. If we know that
and
, the value of
is:
The equation of the line is , which is graphed below.
Store manager wants to
1 answer:
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Answer:
Accelerating to top speed, deaccelerating to finish line.
Step-by-step explanation:
If the runner kept a constant speed of 11 mph for the whole duration of his run (32 minutes), the distance he would have covered is:
This means that, in order to run the full 6.2 miles, the runner needs to reach a speed over 11 mph. Assume he starts from rest, while accelerating the runner reaches, and the surpasses, the 11 mph mark. Since his speed at the finish line is zero, the runner has to deaccelerate from his current running speed (which should be higher than 11 mph), passing through 11 mph and reaching zero at the finish line.
Answer:
a) Number of passwords: 2763633600
b) Number of passwords: 2487270240
Step-by-step explanation:
We have:
10 digits,
26 letters, and
4 special characters.
We have to compute the number of passwords that satisfy the following conditions:
a) Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters.
We can use the three types of characters, as long as they do not repeat.
We have a total of 10+26+4=40 characters.
This means we have 40 options for the first place, (40 - 1) for the second place (as the first place already use one of the options available), and so on up to 6 places.
We can write this as:
b. Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters. The first character can not be a special character.
In this case we add a restriction: the first character can not be a special character.
Then, for the first place we have only 40-4=36 options (digits and letters).
For the second place we can use the 39 options available (digits, letters and special characters).
Then we have: