Step-by-step explanation:
Rational numbers are numbers that terminate or are a repeating decimal.
4 rational numbers between -1/3 and -1/2 are
-5/12,
-0.583333333333333333333333333...,
-0.54166666666666..., and
-0.5208333333...
Answer:
Step-by-step explanation:
Option A: The sum for the infinite geometric series does not exist
Explanation:
The given series is 
We need to determine the sum for the infinite geometric series.
<u>Common ratio:</u>
The common difference for the given infinite series is given by

Thus, the common difference is 
<u>Sum of the infinite series:</u>
The sum of the infinite series can be determined using the formula,
where 
Since, the value of r is 3 and the value of r does not lie in the limit 
Hence, the sum for the given infinite geometric series does not exist.
Therefore, Option A is the correct answer.
He can read
chapters of his history book in 1 hour.
<em><u>Explanation</u></em>
Franco read 3/8 of a chapter of his history book in 1/5 of an hour.
Suppose, he can read
chapters of his book in 1 hour at this rate.
So, the equation according to the <u>ratio of 'the chapter to the time'</u> will be....

So, he can read
chapters of his history book in 1 hour.
Answer:
Step-by-step explanation:
sec (-x)-sin (-x) tan (-x)=cos x
sec(x)-(-sin x)(-tan x)=cos x
1/cos x-sin x(sin x/cos x)=cos x
multiply by cos x
1-sin ²x=cos²x
or 1=sin²x+cos²x
which is true.