If a circle has a circumference of 200π what is its radius?

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

4 0

Answer:

31.83

Step-by-step explanation:

The circle would have a circumference of 31.83

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What is the unit rate of 88 students for 4 classes

Nat2105 [25]

So, We Have A Rate That We Need To Simplify. We Have:
88 students for every 4 classes
So, We Need To Simplify This Rate. In Order To Do This, We Need To Change Is To A Fraction. It Is:
88 students
---------------
4 classes

Now, We Have To Simplify. We Can Do That By Remembering How To Simplify Fractions.

So,
88 ÷ 2 = 44 ÷ 2 = 22 students
--- --- ---------------
4 ÷ 2 = 2 ÷ 2 = 1

So, The Unit Rate For 88 Students For 4 Classes Is:
22 Students For One Class

5 0

3 years ago

f(x) = x4 - 50x2 + 3 (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)

shtirl [24]

Answer:

(-5, 0) ∪ (5, ∞)

Step-by-step explanation:

I find a graph convenient for this purpose. (See below)

When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...

f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)

This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).