21.5 means 21 and 5 tenths and is read that way.
21.5 = 21 5/10 =(21*10 + 5) /10 = 215/10 = 43/2 in simplest terms
How fast the distance between them decrease is 16mph
<h3>How to calculate the speed of an object?</h3>
Given the following parameters
Speed of the hiker = 6mph
If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:
6 = 3x/11
3x = 66
x = 22mph
Distance between them = 22 - 6
Distance between them = 16mph
Hence how fast the distance between them decreases is 16mph
Learn more on speed here: brainly.com/question/4931057
X = No. of professors
x + 14x = 37,500
(No. of professors + 14 times the no. of professors = total)
Add.
15x = 37,500
Isolate x by eliminating 15.
15x/15 = 37,500/15
x = 2,500
There are 2,500 professors in the college.
37,500 - 2,500
(Total - no. of professors = no. of students)
= 35,000
There are 35,000 students in the college.
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Answer:
The graph has 1 x-intercept
Step-by-step explanation:
Given
Required
- Discriminant of f
- Number of x intercepts
Let D represent the discriminant;
D is calculated as thus
Where a, b and c are derived from the following general format;
By comparing with
We have
Solving further;
So, D can now be calculated;
becomes
Hence, the discriminant of f is 0
From the value of the discriminant, we can determine the number of x intercepts of the graph;
When D = 0, then; there exists only one x-intercept and it as calculated as thus
Recall that
So, becomes
The first place and 15th place are already decided, so we have to find the number of
different ways that the <em>other</em> 13 students can line up, in the places from #2 to #14.
2nd place can be any one of 13 people. For each of those . . .
3rd place can be any one of 12 people. For each of those . . .
4th place can be any one of 11 people. For each of those . . .
.
.
.
13th place can be any one of 2 people. For each of those . . .
14th place has to be the one student who is left.
Total number of ways that 13 students can line up in places #2 through #14 is
(13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
That number is called "thirteen factorial". The number is <u>6,227,020,800</u> .
When you write it in math, you write it like this: 13!