What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10
2 answers:
<u>Answer:</u>
- 3.98 x 10⁷
<u>Review:</u>
<em>What is scientific notation:</em><em> It is a number that is between 1-10 and is written in exponents.</em>
<u>Instruction: </u>
<em>We need to re-write the number "39,800,000" </em><em>that is between 1-10 and is written in exponents. </em>
<u>Solution:</u>
- => 39,800,000 = 398 x 10⁵
<em>This is still not in scientific notation form because</em><em> it is not between 1-10. </em><em>Let's simplify further.</em>
- => 398 x 10⁵ = 3.98 x 10⁵⁺²
- => 3.98 x 10⁷
<em>This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.</em>
<u>Conclusion:</u>
Therefore, 3.98 x 10⁷ is the number in scientific notation.
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Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
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where a=-16, b=122, and c=198
or 
or 
or 
Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
Lets replace the values into the the vertical motion formula to get:
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
Now we can apply the quadratic formula
Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.