Answer:
5/12 * 300 = 125 times
explain:
I hope this answer can help
Step-by-step explanation:
We have
First, 125 is a perfect cube because
and
x^3 is a perfect cube because
so we can use the difference of cubes identity
Let say we have two perfect cubes:
64 because 8×8×8=64
and 27 because 3×3×3=27 and let subtract
we know that
but using the difference of cubes identity we should get the same thing.
Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have
So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.
Back on to the topic,
we know that 5 is cube root of 125 and x is the cube root of x^3 so we have
To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.
At x = 0 y = 567
at x = 1 y = 567 - 567(1/3)
at x = 2 y = 567 - 567(1/3)(1/3)
at x = 3 y = 567 - 567(1/3)(1/3)(1/3)
Therefore, the number of people left after x songs would be represented by the equation:
y = 567 - 567(1/3)x
y = 567 ( 1- x/3 )
I) there are 360 degrees in a circle. So subtract all the numbers from 360 to get the angle for econ.
That angle is 65 degrees
ii) If 95 degrees represents 228 books, then 360 degrees represents "x" (total) books. So we have an equation:
<u>95</u> = <u>360</u>
228 x
Solve for x, and we get x = 864
iii) The percentage is 80 degrees out of 360 degrees or 2/9 or roughly 0.222 or 22.2%
An outlier causes the range of the population to move slightly towards the outlier.
