Answer:
f(n) = 2 + 5n. This is an arithmetic sequence.
Step-by-step explanation:
f(1) = 7
f(2) = 7 + 5
f(3) = 7 + 5 + 5 = 7 +10
f(4) = 7 + 5 + 5 + 5 = 7 + 15
In general,
f(n) = 7 + 5(n -1 )
= 7 + 5n - 5
= 2 + 5n
We have the sequence 7, 12, 17, 22, 27 …
This is an arithmetic sequence, because it is a sequence of numbers in which the <em>common difference</em> between consecutive terms is 5.
Approximately 9 meters are in 10 yards, (as there is approximately 1 meter in a yard, .9144 to be exact.)
75 additional minutes were used
$61.20-$49.95=$11.25
$11.25/$0.15=75 additional minutes
Answer:
6^-1
Step-by-step explanation:
6^-6 - (-5) = 6^(-6 + 5) = 6^(-1)
A lot of things are going on in this question. Notice how the 5 is handled. It starts off in the denominator as - 5 and when brought to the numerator it becomes -(-5) which makes it + 5.
The answer is then easy. It is 6^(-6 + 5) = 6^-1
You could give the answer as 1/6 but that is not what the question says.
Answer:
Theatre C.
Step-by-step explanation:
Theatre A:
60 of the 80 seats are taken.
% seats taken = seats taken/total seats * 100
= 60/80 * 100
= 75%
Theatre B:
Total seats = number of seats taken + number of empty seats
= 42 + 18
= 60
% seats taken = seats taken/total seats * 100
= 42/60 * 100
= 70%
Theatre C:
Total seats = number of seats taken + number of empty seats
90 = X + 18
X = 72
% seats taken = seats taken/total seats * 100
= 72/90 * 100
= 80%
Theatre C with 80% of seats taken.