Answer: 165 combination can be possible.
Step-by-step explanation:
Here, According to the question,
Different types of machines in the weight room in gym = 11
And, . Geoff has time to use only 3 of them this afternoon.
Therefore, total number of different combination of machine can geoff choose from to use
= 
=
( because
)
= 
= 
=
= 
= 
Answer:
Yes
Step-by-step explanation:
f(x) = x³ − 9x² + 11x + 21
f(3) = (3)³ − 9(3)² + 11(3) + 21
f(3) = 27 − 81 + 33 + 21
f(3) = 0
1. x >= 4, because 4 is dotted, and that means that 4 is included
2. x =/ 4, the third answer is correct, because all numbers except 4 are included
3. the first number line is the correct answer, because -3 is not included
4. the second number line is the correct answer, because -1 is included
5. the second number line is the correct answer, because 6 is not included
6. the first number line is the correct answer, because 0 is included
7. the second number line is the correct answer, because all numbers except -4 are included
8. the third number line is the correct answer, because -1,5 is included
When a number is included in an interval, it should have full dot on the number line, so that's how you know.
Hope this helps!
Answer:
3
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the shorter side to the longer side length is
. Therefore:

Hope this helps!
Answer:
a. 64 x ($)8 = ($)512
b. 45 (members) / 9(weeks) = 5 (members per week)