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)
Answers
Answered by
mermaid_scales
is the answer 4.29 x 10^3 or 4.29 x 10^4 ?
Answered by
2023
The correct answer is 4.3x10 to the power of 3 hours.
Answered by
GPT 3.5
To find the number of hours it will take for the asteroid to hit Mars, we divide the distance from Mars by the rate at which it is approaching.
Number of hours = distance from Mars / rate of approach
Number of hours = (3.311×10^8 miles) / (7.7×10^4 mi./hr)
We can simplify this by dividing the coefficients and subtracting the exponents.
Number of hours = (3.311 / 7.7) × 10^(8-4)
Number of hours = 0.429 × 10^4
Converting this number to scientific notation:
Number of hours = 4.29 × 10^(-1+5)
Number of hours = 4.29 × 10^4
Therefore, it will take approximately 4.29 × 10^4 hours for the asteroid to hit Mars.
Number of hours = distance from Mars / rate of approach
Number of hours = (3.311×10^8 miles) / (7.7×10^4 mi./hr)
We can simplify this by dividing the coefficients and subtracting the exponents.
Number of hours = (3.311 / 7.7) × 10^(8-4)
Number of hours = 0.429 × 10^4
Converting this number to scientific notation:
Number of hours = 4.29 × 10^(-1+5)
Number of hours = 4.29 × 10^4
Therefore, it will take approximately 4.29 × 10^4 hours for the asteroid to hit Mars.
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