<h3>
Answer: 4</h3>
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Explanation:
We're given the following
which means that we have a set of natural numbers between 30 and 56, excluding both endpoints, and the set of numbers are also multiples of 6.
So looking at the multiples of 6 that are between 30 and 56 leads us to
{30, 36, 42, 48, 54}
but we cross off 30 as we want x to be larger than that, so we get this updated final list
{36, 42, 48, 54}
There are four items in this final list so the cardinality of the set described is 4. The cardinality is just the number of items in a given set.
Answer:
The arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.
Step-by-step explanation:
Since Oscar is trying to incorporate more exercise into his busy schedule, and he has several short exercise routines he can complete at home, and last week, he worked out for a total of 35 minutes by doing 2 arm routines and 1 abdominal routine while That this week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 55 minutes exercising, to determine how long does each routine last the following calculation must be performed:
2ARM + 1ABS = 35
4ARM + 1ABS = 55
4ARM + 1ABS - 2ARM - 1ABS = 55 - 35
2ARM = 20
ARM = 20/2
ARM = 10
2 x 10 + ABS = 35
ABS = 15
Therefore, the arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.
Answer:
Q4
●-4
●2
Q5
a) f(x) = 18x if x≤5
6x+90 if x>5
b) 150
c)
Step-by-step explanation:
To solve this problem, divide both sides by 5 and you get a ratio of 24 to 1. The answer is 24 minutes per night. I hope this helped!
