164+56−(3+4+1)
=220−(3+4+1)
=220−(7+1)
=220−8
=212
Answer:
There can be at most 
attendees in a corporate team-building event.
Step-by-step explanation:
Let 
denotes number of attendees in a corporate team-building event.
Fixed cost = $19
Cost charged per attendee = $1
Budget for the corporate team-building event = $31
Therefore,
So, there can be at most attendees in a corporate team-building event.
Answer:
OPTION B: 162, 486, 1458
Step-by-step explanation:
The given sequence is 2, 6, 18, 54, . . .
It is a geometric sequence and the common difference is 3.
The general form of a geometric sequence is: a, ar, ar², ar³, . . .
Here a = 2 and r = 3.
term of a Geometric progression is 
.
Note that the fourth term is 54.
i.e., 
.
Similarly, 
.
Also, 
.
Hence, OPTION B is the answer.
Answer:
21 1/3 inches
Step-by-step explanation:
Inverse variation means that when the frequency goes up by a factor of 576/256 = 9/4, the length of the string goes down by a factor that is the inverse of that, 4/9.
4/9·48 inches = 21 1/3 inches
9514 1404 393
Answer:
x = 2√2 ≈ 2.83
Step-by-step explanation:
The side length of an isosceles right triangle is 1/√2 times the hypotenuse length. If x is the side length, then ...
x = 4/√2 = 4(√2)/2
x = 2√2 ≈ 2.83
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You have not specified the form of the answer. Sometimes an exact answer (2√2) is required. Sometimes the answer is required to be rounded to tenths or hundredths.
