Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.
The sum of the geometric series is 195
Answer: 2.7777 hours
Step-by-step explanation: Here, we're asked to convert 10,000 seconds into hours.
Unfortunately, we don't have a conversion factor for seconds and hours. However, we know that 60 seconds = 1 minute and 60 minutes = 1 hour.
So we can convert 10,000 seconds into hours by using both of these conversion factors. Also, it's important to understand that when we go from a smaller unit, seconds, to a larger unit, hours, we divide.
So let's first convert 10,000 seconds into minutes by dividing 10,000 by the conversion factor, 60, to get 166.6666 minutes.
Next, we convert minutes to hours by dividing 166.6666 by the conversion factor, 60, to get 2.7777 hours.
So 10,000 seconds is approximately equal to 2.7777 hours.
Answer:
150
Step-by-step explanation:
Each square on a cube is 5 by 5 meters long.
The area of each square is 5 * 5, which is 25 square meters.
There are 6 sides on a square, so multiply 25 by 6, and you will get 150.
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