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.(1 point)
___?cm per hour

Answer 1

Find 0.078−(5.2×10^−3)
. Express your answer in scientific notation. Do not round your answer.

__?*10^-2

Answer 2

last question
Earth’s radius is approximately 3,959 miles, while Jupiter’s radius is approximately 4.3441×10^4
miles. How much bigger is Jupiter’s radius compared to Earth’s? Express your answer in scientific notation. Do not round your answer.(1 point)
__?*__? miles

Answer 3

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

(2.329×10^−2 cm per hour) - (6.849×10^−4 cm per hour)

To subtract these numbers, we need to make sure the exponents are the same:

(2.329×10^−2 cm per hour) - (6.849×10^−4 cm per hour)
= (2.329×10^−2 cm per hour) - (6.849×10^−4 cm per hour)
= (2.329 - 0.06849) × 10^−2 cm per hour
= 2.26051 × 10^−2 cm per hour (in scientific notation)

Therefore, the difference between the high end and low end of the range is 2.26051 × 10^−2 cm per hour.

Answer 4

To subtract 5.2×10^−3 from 0.078, we first need to convert 0.078 to scientific notation with a corresponding exponent of -3.

0.078 = 7.8 × 10^−2

Now we can perform the subtraction:

(7.8 × 10^−2) - (5.2 × 10^−3) = 7.8 × 10^−2 - 0.52 × 10^−2

Since the exponents are the same, we can subtract the coefficients:

7.8 - 0.52 = 7.28

Therefore, the difference is 7.28 × 10^−2.

Answer 5

To find how much bigger Jupiter's radius is compared to Earth's, we need to subtract Earth's radius from Jupiter's radius.

Jupiter's radius: 4.3441×10^4 miles
Earth's radius: 3,959 miles

To subtract, making sure the exponents are the same:

4.3441×10^4 miles - 3,959 miles

Now let's perform the subtraction:

4.3441×10^4 miles - 3,959 miles = 4.3441×10^4 miles - 0.3959×10^4 miles

Since the exponents are the same, we can subtract the coefficients:

4.3441 - 0.3959 = 3.9482

Therefore, Jupiter's radius is approximately 3.9482×10^4 miles bigger than Earth's radius.