The following statement is an example of: every fall there have been hurricanes in the tropics. Therefore, there will be hurrica
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Q.34
The infinite geometric series is converges if |r| < 1.
We have r =1.002 > 1, therefore our infinite geometric series is Diverges
Answer: c. Diverges, sum not exist.
Q.35
The infinite geometric series is converges if |r| < 1.
We have r = 4/5 < 1, therefore our infinite geometric series is converges.
The sum S of an infinite geometric series with |r| < 1 is given by the formula :
We have:
substitute:
Answer: c. Converges, -25.
Answer:
See below
Step-by-step explanation:
1. Standard notation
4.2 × 10⁻⁴ m
A negative exponent indicates
- A number between 0 and 1.
- That the decimal point is shifted that number of places to the left.
4.2 × 10⁻⁴ tells you that the decimal number is 4.2, with the decimal point moved four places to the left.
The number becomes 0.000 42 .
2. Metres to millimetres
3. Measurements agree?
Yes, because both measurements are the same as 0.42 m.
4. More appropriate measurement
Most measurements should be expressed as a number between 0.1 and 1000, because most people aren’t particularly good at visualizing larger or smaller numbers.
Justin's measurement of 0.42 mm is more appropriate than Amanda's measurement of 4.2 × 10⁻⁴ m.