Answer:
The function which models the scenario is
Initial thickness = 2 mm
Value of thickness per fold = 2(previous thickness)
A table can be created thus :
Number of folds(x) __ Thickness
0 _______________ 2
1 _______________ 2(2) = 4
2 _______________ 2(4) = 8
3 _______________ 2(8) = 16
4 ______________ 2(16) = 32
5 ______________ 2(32) = 64
The relation is an exponential function which can be modeled thus :
A = Initial thickness
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If RY + YC = RC
7x+4=10x-2
3x=6
x=2
18+18=36=RC
The value of RC is 36
Answer: 24
Step-by-step explanation:
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
Hope this helps!!! Good luck!!! :)
Answer:
Concluding that people should take vitamin supplement each day when they don't help.
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
Taking a vitamin supplement each day has significant health benefits and does not have any harmful side effects.
Null hypothesis:
Taking a vitamin supplement each day does not have have significant health benefits.
Alternate hypothesis:
Taking a vitamin supplement each day have have significant health benefits.
Type I error:
- It the error of rejecting the a true null hypothesis.
So error I for this situation would be concluding that people should take vitamin supplement each day when they don't help.
Answer:
Rider 1 does one round in 15 min, and will complete another in each consecutive multiple of 15 min
Rider 2 does one round in 18 min, and will complete another in each consecutive multiple of 18 min
Assuming that they start together, they will complete another round together in a time that is both multiples of 15min and 18 min.
Then we need to find the smallest common multiple between 15 and 18.
To smallest common multiple between two numbers, a and b, is equal to:
a*b/(greatest common factor between a and b).
Now, the greatest common factor between 15 and 18 can be found if we write those numbers as a product of prime numbers, such as:
15 = 3*5
18 = 2*3*3
The greatest common factor is 3.
Then the smallest common multiple will be:
(15*18)/3 = 90
This means that after 90 mins, they will meet again at the starting place.
