Using the arrangements formula, it is found that there are 24 ways for them to stand in line so that the youngest person is always first, and the oldest person is always last.
<h3>What is the arrangements formula?</h3>
The number of possible arrangements of n elements is given by the factorial of n, that is:

In this problem, we have that there are 6 people. The youngest person(Leslie) has to be first, while the oldest(Parvinis) has to be last, while the remaining 4 can be arranged, hence the number of ways for them to stand in line is given by:

More can be learned about the arrangements formula at brainly.com/question/24648661
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X=7. Undefined
X=-7. Undefined
The radius is half of the diameter. Therefore the diameter will be 18 centimeters. Hope this could help. Please if you don't mind give me the brainiest answer it would be well appreciated
Answer:
x ≈ 29.4 ft
Step-by-step explanation:
The model is a right triangle.
Using the tangent ratio
tan40° =
=
( multiply both sides by 35 )
35 × tan40° = x , then
x ≈ 29.4 ft ( to 1 dec. place )
Answer:
It's a function that associates a real number x with a positive real number using the flowing definition: If the number is not negative (so either positive or 0) the absolute value is x. If x is negative, the absolute value is -x.
This means that to find the absolute value of x you must first determine if x is negative or not, and if it is, multiply it by -1. If it isn't, leave it as it is.
Since the absolute value is a function (of a given number), you can't just plot that number in the number line but the function (so in this case absolute value must be taken first.
The absolute value of x is never negative, so given the absolute value of x we can't determinate if x was positive or negative (if x =/ 0) before the absolute value was taken.