Answer:
D. (0.6, 1.3)
Step-by-step explanation:
The difference between y-values is smallest for x=0.6. The approximate y-value is reasonably chosen as the average of the y-values for that value of x.
(x, y) = (0.6, 1.3) is a reasonable approximation
<span>During the indicated time block of 6 PM-4 AM, the movies should go as follows:
Since the G rating movies needs to be shown during the first time block, it would be first at 6 pm until around 8 pm. The NC-17 movie would also need to be LAST and from 2 am to 4 am. That leaves 3 movies left to be shown from around 8 pm to 2 Am, which could be shown in 6 different ways. If we assigned EACH movie a title of A, B or C, you get these different showing possibilities- ABC, ACB, BAC, BCA, CAB, and CBA. Since the first and last movies never change, they would default to the first and last positions while the rest is filled in.</span>
Answer:
Length = x feet = 95 feet
Step-by-step explanation:
The labeled triangles are not included in the question, therefore, I will calculate the length of the rectangular space for Kelly's dog
Perimeter of a rectangle = 2(length + width)
Perimeter of a rectangle = 236 feet
Width = 23 feet
Length = x feet
Perimeter of a rectangle = 2(length + width)
236 = 2(x + 23)
236 = 2x + 46
236 - 46 = 2x
190 = 2x
x = 190/2
x = 95 feet
Length = x feet = 95 feet
Answer:
11. always
12. always
13. always
14. never
15. never
16. always
17. always
18. sometimes
19. sometimes
20. never
Step-by-step explanation:
11. A line can be defined by at least two points
12. A plane can be defined by at least three points
13. If two planes intersect, then they form a line at the intersection.
14. If two lines intersect, then they form a point at the intersection (not a segment).
15. A line does not have any endpoints (infinite in both ways).
16. If two planes are not parallel they will always intersect.
17. If two lines are not parallel they will always intersect.
18. Two points are sometimes collinear. It depends on where they are.
19. Two points are sometimes coplanar. It depends on where they are.
20. Ray MN and NM are not the same ray because the end points are different.
Answer:
Step-by-step explanation:
<h2>This account can be modeled using the compound interest formula.</h2><h2>the compound interest formula is expressed as</h2>
Where
A =final amount = y
P=initial principal balance
= $300
r=interest rate = 16%= 0.16
t=number of time periods elapsed= x
Hence the equation to model his account balance/ final amount A (y) after time (x) years is
