Answer:
f(x + 1) = -(3/4)*f(x)
(second option)
Step-by-step explanation:
Here we have the sequence:
64, -48, 36, -27, ...
First, we can notice two things:
Each term has a different sign than the previous term, so the relation is something like:
f(x + 1) = -k*f(x)
Now to find the value of k, we can just replace some of the values (for example, the first and the second one)
-48 = -k*64
48/64 = k
3/4 = k
Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:
36 = -k*(-48)
36 = k*48
36/48 = k
3/4 = k
We got the same value, so we can conclude that k = (3/4)
Then the relation that describes this sequence is:
f(x + 1) = -(3/4)*f(x)
If you need the number in fractional form after rounding to the nearest hundredth, put the decimal part over 100 and simplify. For example, turningpi into a fraction, start with 3.14. Rewrite as 3 and 14/100. Simplify to 3 and 7/50.
Hope This Helped! ^^
This is a simple proportion
1100 : 13 = 41000 : x
For every 1100 discs, 13 are defective, meaning that there will be an X number for each 41000
13 * 41000 = 1100 * x
13 * 410 = 11 * x
5330 = 11 * x
x = 5330/11
x = 484.5
That means that for every 41000, approximately 485 discs will break down.
Answer:
11:22 am and 1 hr and 9 minutes
Step-by-step explanation:
just add and subtract
