Hi, you've asked an incomplete question. Here are the remaining questions:
a) Describe what each region in the Venn diagram represents.
Region I: In drama club, not in step team.
Region II: In both clubs.
Region III: In step team not in drama.
Region IV: Not in either club.
b) How many students were in only one of the two clubs?
c) How many students were in the drama club or in the step team?
d) How many students were surveyed?
Attached is the Venn diagram depicting the regions.
Explanation:
b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.
c) By adding 34 + 27 + those that like both (14) = 75.
d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.
Euler's formula is given by:
C + V = A + 2
Where,
C: number of faces
V: number of vertices
A: number of edges.
Clearing A we have:
A = C + V-2
Substituting values:
A = 21 + 14-2
A = 33
Answer:
the missing number is:
C.33
Given:
Angelica reads 15 pages of a book each day.
In 10 days, she reads 200 pages.
Assume the relationship is linear.
To find:
The rate of change and initial value.
Solution:
The slope intercept form of a linear function is:
...(i)
Where m is the slope and b is the y-intercept.
Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and
.
In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).
Putting
in (i), we get

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.
Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.
9,862,000 in scientific notation is 9.862 × 10^6
Answer:
362881
Step-by-step explanation:
The right sequence should be
2,3,7,25,121,721,5041,40321, 362881
Here, the formula used is a(n)=n!+1 where n=1 to infininity
n(1) =2=1!+1=2
n(2)= 3=2!+1=3
n(3)=7=3!+1=7
n(4)=25=4!+1=25
n(5)=121=5!+1=121
n(6)=721=6!+1=721
n(7)=5041=7!+1=5041
n(8)=40321=8!+1=40321
n(9)=362881=9!+1=362881