Question

An asteroid is heading toward Mars at the rate of 7.7×10^4 mi./hr. If the asteroid is 3.311×10^8 miles away from Mars, how many hours will it be before it hits Mars? Write the answer in scientific notation, expressed to the exact decimal place.(1 point)

Answer 1

are you sure?

Answer 2

To find out how many hours it will take for the asteroid to hit Mars, we need to divide the distance between Mars and the asteroid by the rate at which it is approaching.

Distance = 3.311×10^8 miles
Rate = 7.7×10^4 mi./hr

Time = Distance / Rate

Time = (3.311×10^8 miles) / (7.7×10^4 mi./hr)

To divide numbers in scientific notation, we divide the coefficients and subtract the exponents:

Time = (3.311 / 7.7) × 10^(8 - 4)

Time = 0.429480×10^4

Since the exponent is already at its lowest possible value (4), we don't need to adjust it any further.

Therefore, it will take approximately 0.429480x10^4 hours for the asteroid to hit Mars.

Answer 3

Apologies for my mistake in the previous response. Let's recalculate the correct answer:

To find how many hours it will take for the asteroid to hit Mars, we can use the formula:

Time = Distance / Rate

Given:
Distance = 3.311×10^8 miles
Rate = 7.7×10^4 mi./hr

Substituting these values into the formula, we have:

Time = (3.311×10^8 miles) / (7.7×10^4 mi./hr)

To divide these two numbers, we need to divide the distances and subtract the exponents:

Time = (3.311 / 7.7) × 10^(8 - 4) hours

Calculating the division, we have:

Time = 0.429480 × 10^4 hours

To express this number in scientific notation, we can rewrite it as:

Time = 4.29480 × 10^(4 - 1) hours

Simplifying the exponent, we get:

Time = 4.29480 × 10^3 hours

Therefore, it will take approximately 4.29480 × 10^3 hours before the asteroid hits Mars.