Question

Human hair grows at a rate of about 6.849×10−4 cm per hour to 2.329×10−2 cm per hour. The rate depends on gender, genetics, age, and health. Find the difference between the high end and the low end of the range. Express your answer in scientific notation. Do not round your answer

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the difference between the high end and the low end of the range, we subtract the low end from the high end.

High end: 2.329×10^-2 cm per hour
Low end: 6.849×10^-4 cm per hour

Difference = High end - Low end
Difference = (2.329×10^-2) - (6.849×10^-4)
Difference = 2.329×10^-2 - 6.849×10^-4
Difference = 2.329×10^-2 - 0.006849×10^-2

To subtract the values in scientific notation, we need to ensure that the exponents are the same:
-0.006849×10^-2 = -6.849×10^-4

Difference = 2.329×10^-2 - 6.849×10^-4
Difference = 2.329×10^-2 - 6.849×10^-4
Difference = 2.329×10^-2 - 6.849×10^-4
Difference = (2.329 - 6.849) × 10^-2
Difference = -4.52×10^-2

Therefore, the difference between the high end and the low end of the range is -4.52×10^-2 cm per hour.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the difference between the high end and low end of the range, we subtract the low end from the high end.

High end: 2.329×10^(-2) cm per hour
Low end: 6.849×10^(-4) cm per hour

Difference = High end - Low end
= 2.329×10^(-2) - 6.849×10^(-4)

To subtract the values in scientific notation, we need to have the same exponent. Let's convert the low end value to have the same exponent as the high end.

6.849×10^(-4) cm per hour = 6.849×10^(-4) × (10^(2)/10^(2))
= 6.849×10^(-4) × 10^(2) / 10^(2)
= (6.849×10^(-4) × 10^(2)) / 10^(2)
= 6.849×10^(-4+2) / 10^(2)
= 6.849×10^(-2) / 10^(2)
= 6.849×10^(-2-2)
= 6.849×10^(-4)

Now that we have the same exponent, we can calculate the difference.

Difference = High end - Low end
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.329×10^(-2) - 6.849×10^(-4)
= 2.330×10^(-2) (rounded to three significant figures)

Hence, the difference between the high end and low end of the range is 2.330×10^(-2) cm per hour.

Answer 3

[AI-generated answer — Explain Bot]

To find the difference between the high end and the low end of the range with the given rates, we'll subtract the lower value from the higher value:

High end = 2.329×10^(-2) cm per hour
Low end = 6.849×10^(-4) cm per hour

Difference = High end - Low end
= (2.329×10^(-2)) - (6.849×10^(-4))

To subtract these values, we need to express them in the same power of 10. We can do this by converting the lower value to scientific notation with the same exponent:

6.849×10^(-4) cm per hour = 6.849×10^(-4) × 10^(2) cm per hour
= 6.849×10^(-4+2) cm per hour
= 6.849×10^(-2) cm per hour

Now, we can subtract the values:

Difference = (2.329×10^(-2)) - (6.849×10^(-2))
= 2.329×10^(-2 - (-2)) cm per hour
= 2.329×10^(-2 + 2) cm per hour
= 2.329×10^(0) cm per hour
= 2.329 cm per hour

Therefore, the difference between the high end and the low end of the range is 2.329 cm per hour.