Answer:
Number of movies that can be shown = 2
Step-by-step explanation:
Given:
Movie night duration = 4 hours
Duration of each movie = 1.75 hours
Time given for eating popcorn = 0.5 hours
Time alloted for movies (excluding popcorn time) = 4 - 0.5 = 3.5 hours.
Number of movies that can be shown = 
Answer:
- (a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
- (b) A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
Step-by-step explanation:
A sequence is a list of ordered numbers. For example, 1, 2, 3, 4, 5.... is a sequence. The numbers are listed in a specific order when we count. In contrast, a series is the sum of the numbers in a sequence. For this multiple choice, choose the best answer that defines what a sequence is.
(a) What is the difference between a sequence and a series?
- A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers.
- A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
- A series is an ordered list of numbers whereas a sequence is the sum of a list of numbers.
- A sequence is an ordered list of numbers whereas a series is an unordered list of numbers.
- A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers.
When working with sequences and series, we look at what happens at negative and positive infinity. When a series converges, it approaches a finite number. When a series diverges, it does not approach a finite number but infinity.
(b) What is a convergent series? What is a divergent series?
- A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent.
- A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent.
- A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent.
- A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
- A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
Answer:
dunt know just doing it for the points
Step-by-step explanation:
The square of a positive integer added to 4 times the integer is 437..
x2 + 4x = 437
I chose to do this by completing the square..
x2+4x+4 = 437 + 4
(x+2)2 = 441
Take square root of both sides
x+2 = ±√441
x = -2 ± 21
x = -23 or x = 19
x = 19
